4613-125-T Report of BAMIRAC LINE-STRENGTH CALCULATIONS FOR THE 0 -1, 0 2, 0 -3, AND 1 -2 VIBRATION- ROTATION BANDS OF HYDROGEN FLUORIDE ROBERT E. MEREDITH NORMAN F. KENT April 1966 Infrared Physics Laboratory THE INSTITUTE OF SCIENCE AND TECHNOLOGY THE UNIVERSITY OF MICHIGAN Ann Arbor, Michigan

WILLOW RUN LABORATORIES ABSTRACT Line strengths are calculated for the 0 - 1, 0 - 2, and 1 - 2 vibrationrotation bands of hydrogen fluoride by use of the anharmonic oscillator potential and for the 0 - 1, 0 - 2, 0 - 3, and 1 - 2 bands by use of the Morse potential. The two sets of calculations are compared, and it is found that the line strengths depend quite strongly on the shape of the potential well even for transitions involving such low-lying levels. All calculations have been carried out for a number of temperatures in the 300~K to 5000~K range. The partition functions and line positions used in the calculations are also presented. iii

WILLOW RUN LABORATORIES CONTENTS Abstract....................................... iii List of Figures.................................. vi 1. Introduction................................. 1 2. General Considerations........................... 1 3. Calculation of Line Intensities of Hydrogen Fluoride............ 4 4. Results and Conclusions............................ 5 Appendix I: The Harmonic Oscillator Model................ 7 Appendix II: The Anharmonic Oscillator Model.............. 10 Appendix III: The Rotating Morse Oscillator............ 12 Appendix IV: The Fundamental, First Overtone, and Second Overtone Line Positions of Hydrogen Fluoride..................... 15 Appendix V: Partition Functions for Hydrogen Fluoride........... ***. 23 Appendix VI: Anharmonic Oscillator Line Strengths and Correction Factors for Hydrogen Fluoride................... *... 27 Appendix VII: Morse Oscillator Line Strengths and Correction Factors for Hydrogen Fluoride........................ 65 References.................................... 15 Distribution List................................. 116 V

WILLOW RUN LABORATORIES FIGURES 1. F01 and F02 vs. m for the Anharmonic Oscillator Model........... 6 2. F01 and F02 vs. m for the Rotating Morse Oscillator............. 6 3. Ratio of Morse and Anharmonic Oscillator F Factors for the 0 -1 and 0- 2 Transitions................................... 6 vi

WILLOW RUN LABORATORIES LINE-STRENGTH CALCULATIONS FOR THE 0-1, 0->2, 0->3, AND 1- 2 VIBRATION-ROTATION BANDS OF HYDROGEN FLUORIDE 1 INTRODUCTION In making spectroscopic measurements on molecules, it is often desirable to know either the absolute intensity of the lines from previous measurements or to have a reliable theory from which a reasonable estimate of line intensities may be calculated. This applies at BAMIRAC, where quantitative absorption and emission measurements are being carried out on the hydrogen fluoride molecule at temperatures ranging from 300~K to 5000~K. Recent theoretical advances [1-4] in this area have achieved qualitative agreement with experiment; therefore, it is appropriate at this time to calculate line intensities for the HF molecule for a number of temperatures in the above range, according to present theory. The calculations have been carried out for the two potential functions most often used: the anharmonic oscillator potential and the Morse potential [5, 6]. There are several reasons for carrying out two sets of calculations. First, there is no a priori reason for preferring one potential over the other-they both represent a basic empirical assumption. Second, the calculations should be compared with each other to determine the effect of the form of the potential on the line intensities. These calculations therefore serve as more than just an aid in present HF studies. When compared with measurements now being made on the fundamental and overtone series of HF, they also will give an indication of the influence of the form of the potential function on levels lying higher in the potential well. Knowledge obtained in this manner from the simple HF molecule will be useful for treating more complicated molecules and for estimating the strengths of electronic transitions. This is of particular value at the present time in view of the recent interest in electronic band intensities [7-10]. 2 GENERAL CONSIDERATIONS The intensity of the absorption line corresponding to the transition from a level vJ to a level v'J' is given by [1]

WILLOW RUN LABORATORIES 813N vJ vJ,v'J' 3hc(2J + 1) vJ,v'J' L <v, J m T'(r, 0 ) lv' J' m>l2 m',m, T x - exp (kTc (1) where c = velocity of light h = Planck's constant J = rotational quantum number k = Boltzmann's constant m, m' = magnetic quantum numbers of the initial and final levels N = number of molecules in the initial state vJ T = temperature v = vibrational quantum number 0, - = angles in spherical polar coordinates v = frequency in wave numbers v Jv t = frequency of the transition in wave numbers /T7(r, 0, ) = the T-th component of the dipole moment / as a function of the spherical coordinates < > = Dirac bracket symbols The dipole moment separates into a radial part M(r) and an angular part which depends on 0 and 0. The angular contributions to the matrix elements may be immediately evaluated, and the sums over m and m' may be carried out. Thus El I<v, J, m T (r, 0, )', J', m'> 2 = m l <v, J M(r) v', J> 2 (2) m,m', T where the m on the right-hand side is equal to -J for P-branch transitions and is equal to J + 1 for R-branch transitions. (This m, not to be confused with the m specifying the magnetic quantum number, will be the one that appears in the following expressions.) Thus, 87T3- exp IvJ,v'J' 3 ) VvJ V12J' (mlv fiexp ()J(3) vJlvlj =3hc(2J + 1) VJv ml<VIJlM(r)lvJ>I L- exp kT/hc3 Written explicitly, the matrix elements of M(r) are ~~~<vM2rlvJ> SJrMr,(rd 4

WILLOW RUN LABORATORIES where 4 vj(r) are solutions of the radial wave equation (4 = wave function, r = internuclear separation): 1 d 2 d4/.J(J + 1) 87T2 r r h (r.) - + 1) 82/ [E - U(r)]}i P= 0 where E = total energy and U(r) = potential energy. Once a choice of U(r) is made, the wave equation may be solved for 4'(r). Calculation of the matrix elements then depends upon the form of M(r). The usual procedure is to expand M(r) in a Taylor series about the equilibrium nuclear separation re: e 1 d2M 2 M(r) = M (r- r + (r - r + dr or M(r) = M (r - r (6) i where M0 is the permanent dipole moment of the molecule. In this treatment, the M. are parameters to be determined by experimental line strength measurements for particular solutions of the wave equation. The solutions 4/(r) of the wave equation depend not only upon choice of U(r) but also upon 2 treatment of the term J(J + 1)/r. This term is usually called the "interaction term" since it represents a coupling of the rotational (J) motion and the vibrational (r-dependent) motion of 2 the molecule. A common method is to expand 1/r in a Taylor series about r: e J(J + 1) J(J + 1) (r- r ) (r- r )2 JJ1) J(+1) i 2 +3 2e..3 (7) 2 2 r 2 r r e r e e If only the first term in the expansion is retained, the interaction term does not depend on r. This is the rigid rotor approximation in which there is no interaction of rotation with vibration. The number of terms retained in the expansion is usually fixed by the form of U(r). If harmonic oscillations are assumed, the first three terms are retained, giving the rotating harmonic oscillator model. If anharmonic oscillations are assumed, the cubic term is retained, giving the rotating anharmonic oscillator approximation. Another common practice is to choose an empirical function which nearly approximates a realistic molecular potential. The function used most often is that of Morse: 3

WILLOW RUN LABORATORIES U = -+[ -(r- re)12 U(r)= Ee + De e - (8) where Eel is the electronic energy and D the energy of dissociation. When this function is used, the first three terms in J(J + 1)/r are retained. The present calculations have been carried out for the rotating anharmonic oscillator and the Morse oscillator. The reduction of the matrix elements to the form used in the computation is carried out in appendixes II and III. The results are presented as a product of the matrix element of a nonrotating oscillator and VF(m),, a correction factor arising from the interaction of rotation and vibration: <vJIMlv'J'> = <viMIv' > VF(m)vv, (9) Also in appendixes II and III, for these two oscillators respectively, the J independent matrix elements <v Mlv'> are derived and the factors d F(m), are presented. 3 CALCULATION OF LINE INTENSITIES OF HYDROGEN FLUORIDE The University of Michigan's IBM 7090 computer was used to calculate line intensities I J, of HF from equation 3. The line positions vJ, J appearing in (3) were calculated from the term values given in wave numbers by TvJ =Yj(V + -)( +) (10) jQ The coefficients Yj are taken from the work of Mann et al. [11]. These positions are given in appendix IV. The number of molecules in the initial level N J is given by vJ Z (e T )-T1vJ where Z is the partition function and N is the number of molecules per cubic centimeter. For 6 P an ideal gas at a pressure P in atmospheres, N = 1.01325 x 10 kT~ The partition function is given by Z = (2J+ 1)xp ) (12) J 4

WILLOW RUN LABORATORIES These have been calculated for a number of temperatures and are given in appendix V. The matrix elements for the anharmonic oscillator are given by equations 29, 35, and 36, and for 2 -1 the Morse oscillator by equations 42, 43, and 44. The line intensities, in units (atm cm ) are given in appendixes VI and VII. Note that the value of M1 used in the calculations was chosen to assure agreement between theory and experiment at the band center in the anharmonic oscillator approximation, and therefore the intensities in appendix VI are not expected to agree exactly with those in appendix VII. The usefulness of the Morse calculations lies in the correction factors F(m)v,. The values M1 1.5 x 10 esu, M = 1.819 x 10 esu cm, and 0 = +1.32 were used in all the calculations [12]. For the Morse calculations, D was taken to be 134.59 kcal/mole. [13]. 4 RESULTS AND CONCLUSIONS The effect of the correction factor is best illustrated by plotting FVv, versus m, as shown in figures 1 and 2. It can be seen in each case that the correction factor causes an enhancement of the P branch relative to the R branch for both the Morse and anharmonic oscillator models, and that the effect becomes greater for high J transitions. The dependence of the correction factor upon the particular change in v as well as J emphasizes the importance of determining the validity of the treatment for high v and J. The importance of the form of the internuclear potential is illustrated in figure 3, a plot of the ratio of the Morse and anharmonic F factors versus m for the 0 - 1 and 0 - 2 transitions. The results for the two potentials are seen to differ qualitatively as well as quantitatively. For the overtone band, the F factors are seen to be quite different, causing a greater correction for the Morse oscillator than for the anharmonic oscillator. The F factors for the 1 - 2 transition, however, are in much better numerical agreement, but the Morse oscillator does show a greater enhancement of the P branch relative to the R branch. Thus, even for transitions involving such low-lying levels, the importance of the form of the internuclear potential is quite apparent. 5

WILLOW RUN LABORATORIES 1.4 - 0 0 -2 1.2 1.2 1.0 - 1.0 0.8 0.8 - 0.6 \ 0.6 - -10-6-2 2 6 10 -10 -6-2 2 6 10 m m FIGURE 1. F01 AND F02 VS. m FOR FIGURE 2. F01 AND F02 VS. m FOR THE ROTHE ANHARMONIC OSCILLATOR TATING MORSE OSCILLATOR MODEL 1.4 - 1.2 0 -~ 2.c 1.0 0 - 1 0.8 0.6 -10-6-2 2 6 10 m FIGURE 3. RATIO OF MORSE AND ANHARMONIC OSCILLATOR F FACTORS FOR THE 0 - 1 AND 0 -2 TRANSITIONS 6

WILLOW RUN LABORATORIES Appendix I THE HARMONIC OSCILLATOR MODEL I.1. THE RIGID ROTATOR Although this approximation does not lead to satisfactory agreement with experiment, it has qualitative features which carry over to the more realistic anharmonic oscillator model. If /(r) in equation 5 is replaced by a new function R(r) = r4/(r), the wave equation becomes d R 87 211 J(J+ 1) -d-+ 2E - U(r) - 2 2R J= (13) dr h2 87T2/r 2 Replacing r by r in the interaction term gives the rigid rotor equation. Expanding U(r) in a Taylor series about r: (U()- 2U) (rr 2+ (14) 2 dr2 r e or U(u) = 1 ku where u = r - r. In terms of the variable u, the rigid rotor equation is dR() 87r - J(J + 1)h2 - (u )= O (15) i2 8r -2 22 du h 87r Ir Its solutions are x2/2 R(u)v= N H (x) e (16) where u = x[h/(2771k)]l/2 u:= N = 12v't.v h/(27r)J 7

WILLOW RUN LABORATORIES and the H are the Hermite polynomials. The energy levels of (15) in wave numbers are c +e + BeJ(J+ 1) (17) hc e 2 e where co = k//ic and B = h/(47Tlcr e). The matrix elements of M(r) are e e co 2 <vlM(r)Iv'> = 0 4v(r)M(r)v,(r)r dr +00: } Rv(u)M(u)Rv, (u) du -oc = h/(27rik) R (x)M(x)R(x) dx (18) J-o v v Since M(x)= Mi( h/2rV ix (19) i the problem of finding the matrix elements of M(x) reduces to that of finding <v x v' > for various i. These may be found in a straightforward manner by use of the recursion relations for the Hermite polynomials, and the usual pure rotation and fundamental vibrational selection rules result. For the fundamental series <VlMl(U)lV + 1>= a1 2v (20) 2/ 2\ where a = w /(2B r e. Similar expressions may be derived for the overtone series. e/ ee 1.2. THE ROTATING OSCILLATOR A more accurate representation of a vibrating rotating molecule is obtained by use of 2 expansion 7. Keeping terms through u, and using equation 14 for U(u) as before, the wave equation 13 becomes 20dul2 2 2 d2S0 2 1 2 h hu 3JJ+h2u 0 -2 +i E — ku - J(J + 1) 2 2 J(J +1) 2 3 S 0 du h2 81T IJr 87T r3 87T ir L e ve / e (21) 8

WILLOW RUN LABORATORIES where the radial wave function is now denoted by S in order to distinguish it from the functions R(u). If the term linear in u is eliminated, equation 21 can be transformed into the simple harmonic oscillator form. This may be accomplished by a change of variable: u= j+aJ where J(J + 1)crr a = 1 2 (22) 3J(J+ 1)+ r k 2e and h2 0a 2 2 ftr pire With this change, equation 21 becomes d2S () 2r; - 7 T J(J+)+ J(J+ 1) 2k + 3J(J+ 0 2 h E 8- k J + 3J(J + J 1 - f~k J 3( l)l sO~() = 0 (23) dc 3J(J + 1)a + 2kre This has the form of the harmonic oscillator equation d20 dS2 + - KJ)S = O (24) Upon making another change of variable, 7/j = Ja~j, the solutions of equation 23 may be written Sv = NJHv(7j) exp [- - (25) where H are Hermite polynomials, as before, and where v~~V7T NvJ v) (26) The dependence of the coordinate 77j on J is a consequence of the fact that the equilibrium nuclear separation is now r + aJ. The energy levels are now given by 27E~ 0 1/2 a a \ 27TEv ( [1 + 3J(J+ ) + cy(J + 1) - -) (27) hc e v 1e3/ where y = 2B /aw and E = unperturbed energy. 9

WILLOW RUN LABORATORIESThe matrix elements are best found using the generating functions for the Hermite polynomials. For the fundamental transition they are, to the approximation of retaining the first three terms in equation 7, <0, JM(T) 1, J~1> = - 20m[1 +-(m- 1)] (28) where 0 = M0/Mre. In general, <vJ IM(IJ) IvJ' > 2 = M2,F (29) J vv vv where M, is the matrix element of a nonrotating harmonic oscillator. The matrix element is thus given by that for a nonrotating harmonic oscillator multiplied by a correction factor vv arising from the interaction of rotation with vibration. 0 is usually of order unity, whereas y is several orders of magnitude smaller. The first term in equation 28 is therefore dominant. Terms of order y or smaller are considered later in the discussion of the anharmonic oscillator (app. II). It is interesting to note that the matrix element between v = 0 and v = 2 does not vanish for the vibrating rotor. Its contribution is quite small to this approximation, however, and it will be seen later that an anharmonic term in the potential gives the dominant contribution. Through the correction factor vv,, each line in a band will have a slightly different matrix element. Depending on the value of 0, the factor F, will cause an enhancement of one branch of a band relative to the other. In the case of HF, 0 is positive and greater than unity. This results in an enhancement of the P branch relative to the R branch. Appendix II THE ANHARMONIC OSCILLATOR MODEL If a cubic term is included in the potential function U(u)=ku + k'u3 (30) and if the cubic term is retained in the interaction term (eq. 7), J(J+ 1)J(J+1 2u 3u2 u (3 2 2 r u2 r r e r re 10e e 10

WILLOW RUN LABORATORIES 3 33 the contribution k'u - 4u /r may be treated as a perturbation H1 on the zeroth-order wave 0 e functions S (7rJ). This may be written H =hco b.a/ u (32) e j where b. = b 2y2 J(J + (33) - b 1 1/2 and where b = — 2 [1 + ae/3y Be]. The perturbed wave functions then have the form [14] SO SO+ 5y C So(34) vJ vJ + vm mJ (34) m=0 where the constants C J are determined by first-order perturbation theory. Explicit expresvmJ sions for SvJ are found in reference [13]. These functions may then be used to find the matrix elements of the dipole moment. The results were first obtained by Herman and Wallis [2] for the 0-1, 0-2, and 1-2 transitions, and are expressed as the product of the independent matrix element <viMlv'> and a correction factor, as before. The factors Fvv, for the 0-1, 1-2, and 0-2 transitions are F01 = il- 1/2 1 - 2ym +by + 3y (- 1) + (m F0 1= - 2{12OmE 15b1/2 23 1/2 (m- 51)b+ F1 = {1 - 2ym + 15by +y 4 b (m - 1) + (m - 2 (35) 1 * {' -2w (; -At I ^ ) -9- - i(2^ )> 1/2b(2m -'>} F02 2 - 2 1 ) - 0ym + 2 +- y/2 b(m + 5)+ yl/2b(2m 3 b -15~+2 b The J independent factors of equation 29 are M1 M01 = i2a M! M1 M =12 -va Mlb M = 1 (36) M02 -11 ]1

W ILLOW RUN LABORATO-RIES Appendix III THE ROTATING MORSE OSCILLATOR This model assumes that the potential function is r- 2(r-r)2 U(r) = E + De - e (37) where E, is the electronic energy at r = r, D is the dissociation energy referred to the poeC. e e tential minimum, and / = w [272clL/Deh]/. The first three terms in the expansion of 1/r are retained, and the wave equation is solved for the molecular wave functions. The equation is J(J+ )-X2] 2R / 2 [E- U(r)]R= 0 dr r h where X is the electronic angular momentum. The solution is of the form R(y) = Ne z/2zb/2 F(z) (38) where z = 2d y (38a) -i3(r-re) y= e (38b) b2= ( 2) [E - E - De - A(l - 3 + 32)] (38c) and the function F(z) satisfies the confluent hypergeometric equation dF dF Z 2 + (b + 1 - z) + vF = 0 (38d) dz For equation 38a, Ph d 72r D+ A(-e + 3e2)] (38e) = 1/r e (38f) A= Be[(J + 1)- 2] (38g) 12

WILLOW RUN LABORATORIES The normalized radial wave function is -d oy b/2 RvJ (r) = N0e (2dO) b 1F(-v; b+l; 2d0y) (39) 1F1(-v; b + 1; 2d0y) is the confluent hypergeometric function. The vibrational matrix element for the transition from a state v,J,X to a state v', J', X is N00 -1 /1 <vJXIM(r)v', J'X> = J Y R RWX ZM. 3 log iydy (40) p,: Jo Y vRJA v'J'A i loge dy ( i= 0 where M(r)= Z~Mi(r- re) i= O = LMi(-3' loge Y) (41) i=0 i=0 and NO is the normalization factor. When the integration in equation 40 is carried out, the matrix element may be written in the form <vJX M(r) Iv+n, J~l, > = <vO IM(r) Iv+n, 0> /-F~ (42) v, v+n (42) where <vOIM(r) Iv+n, 0> is the J independent matrix element of Heaps and Herzberg [15], VF is a J dependent correction factor, and n = v'. The correction factors have been v,v+n found for the 0- 1, 1 -2, 0- 2, and 0-3 vibrational transitions. They are F01 = 12\- loge 1 + + (6- sA ) (- 1) - + 1 02 1-[e le(1 +-s+ 2s + (6 - s-)+ 2 s - 1) s 2 s s + 1) = 1 -0 + log (1+s +-) ](6 - 3sX) + 36 - (2s - 3 1 2+ + 1) s 2(6- 3sX)+ 36- 9Xs- 6 1 1 1 21 ) A/1 2 1 1 +2 s- 3 s s+l- s+2 =12 = 1[- + loge + s) 2sJ (6 - (s) + (+ 1) s 2( s + 1 s -i2 121 e s~~~~~~~ ~13 +-1 1 2) s+1 +s-1 s+2 s ]3

WILLOW RUN LABORATORIES where s = (2 /y)- 2v- n- 1 2 A= 3ye(E - l)m = y2m/2E(1 - 3c) 6= 3yem(1 - ) e = 1/rep 0 = M0/(Mlr) The general form of the J-independent matrix element is 1/2 M1 (_l)n n + v)(s + 1)(s - n)1/2 <vOlM(r)lv+n, a> n vl(s + n + 1)vs(s)44) where the notation (x)i means (x)i = x(x + l)(x + 2)... (x+i- 1) 14

WILLOW RUN LABORATORIES APPENDIX IV THE FUNDAMENTAL, FIRST OVERTONE, AND SECOND OVERTONE LINE POSITIONS OF HYDROGEN FLUORIDE 15

WILLOW RUN LABORATORIES R KRANCH LINE POSITIONS FOR DELTA V = 1 J VO TO VI TO V2 V2 TO V3 V3 TO V4 0 4'601.150 3827.47? 3658.592 3493.9?6 1 4 39.121 3863.981 3693.671 3527.663 2 4075.447 3898.890 3727.19C 3559.814 3 411C.084 3932.153 3759.193 359.396 4 4142.987 3963.72? 37P9.369 3619.367 5 4174.111 3993.571 3817.946 3646.66t 6 4203.417 4221.644 3844.79/ 3672.312 7 4230. 866 4r 47.907 3869.877 3696.211 8 4?56.420 4,72.325 3893.156 3718.345 9 4280'. q45 40:94.862 3914.599 3738.682 10 4301.708 4115.48C 3934.173 3757.187 11 4321.379 4134.16- 3951.848 3773.631 12 4339.029 4150.876 3967.594 3788.5S4 13 4354.633 4165.588 3981.386 3801.421 14 4368.166 4178.278 3993.199 3812.315 15 4379.607 4188.923 4 03.099 3821.242 16 4388.937 4197.594 401J.796 392?.181 17 4396.138 42n4.03 40i.16.541 3833.112 18 440)1. 196 4208.402 4020.226 3836.01C 19 4404.097 4210.68 4 4.21.835 3836.874 20 4404.P29 4211.84 9 4021.355 3835.673 21 4403.383 4208.872 4018.771 3832.395 22 4399.752 4294.749 4:14.072 3827.029 23 4393.928 4198.469 4,07.248 3819.56. 24 4395.906 419. 26 3998.2 8 38 09.97c, 25 4375.683 4179.414 3987.183 3798.26o 26 4363.256 4166.62.6 3973.926 3784.418 27 4348.622 4151.65o 3958.536 3768.419 28 4331.774 4134.499 3940.915 3750.25 29 4312.716 4115.15: 3921.144 3729.923 30 /4291.443 4'93.61 3899. 183 377. 399 31 4267.951 4L69.841 3875.921 3682.671 32 4242.236 4043.877 3843.644 3655.721 33 4214.292 4, 15.682 382C.039 3626.532 34 41Q4.111 3985.25 3789.188 3595. 81 35 4151.683 3952.566 3756.071 3561.343 36 4116.996 3917.61, 3722.665 3525.288 37 4080.r431 388.3632 3682.942 3486.885 38 4C40.769 3840.793 3642.872 3446.095 39 3999.185 3798,870 3600.415 3402.875 40 3955.250 3754.577 3555.532 3357.177 41 3908.925 3707.845 3508.167 3308.943 42 3860.169 3658.635 3458.271 3258.112 43 3808.934 3606.891 3405.777 3204.611 44 3755.157 3552.54-4 335.3611 3148.360 45 3698.773 3495.522 3292.692 3089.267 46 3639.708 3435.740 3231.926 3027.233 47 3577.873 3373.102 3168.210 2962.145 48 3513.166 3307.5CO 3101.426 2893.877 49 3445.479 3238.814 3031.446 2822.291 50 3374.687 3166.908 2958.125 2747.233 17

WILLOW RUN LABORATORIES P BRANCH LINE POSITinNS FOR DELTA V = 1 J VO Tr V VT TO V T 2 V2 TO V3 V3 Ti V4 1 3920.471 3749.845 3583.937 3422.235 2 3377.863 3738.e23 3544.456 3384.2,2 3 3833.812 3666.397 3533.6h4 3344.93) 4 3788.372 3622.617 3461.433 3304.31c, 5 3741.596 3577.536 3417.993 3262.465 6 3693.539 3531.212 3373.335 3219.413 7 3644.259 3483.693 3327.514 3175.22o 8 3593.812 3435.037 3280.581 3129.j49 9 3542.254 3385.29`9 3232.589 3083.61 10 3439.644 3334.533 3183.593 3036.335 11 3436.038 3282.797 3133.647 2988.1j2 12 3381.496 3230.145 3082.803 2938.96u 13 3326.075 3176.634 3031.117 2P89.,4;14 3269.833 3122.31) 2978.64: 2838.31. 15 3212.828 3Q67.255 2925.427 2786.8 3 16 3155.116 3011.498 2871.531 2734.733 17 3096.755 2955.102 2P17.033 2681.977 18 3 37.802 2893.121 2761. 96 2628.643 19 2978.310 2840.60~ 2706.26' 2574. 781 2C 2918.337 2782.616 2650.146 2520.44 21 2857.934 2724.196 2593.602 2465.66: 22 2797.157 2665.40' 2536.679 241'.5:4 23 2736.058 2606.27! 2479.423 2355.: 24 2674.688 2546.879 2421.881 2299.234 25 2613.397 2487.25) 2364.103 2243.153 26 2551.335 2427.44b 2306.124 2186.863 27 2489.451 2367.493 2247.998 2130.464 28 2427.493 2337.457 2189.763 2073.9.9 29?365.507 2247.375 2131.464 2:17.2% 30 23n3.539 2187.290 2'73.14' 1960.575 31 2241.633 2127.246 2014.833 1903.H6j 32 2179.835 2667.283 1956.582 1847.212 33 2110.188 2u37.446 1898.427 179C.6! 34 2056.733 1947.772 1840.438 1734.1.; 35 1995.516 1888.305 1782.561 1677.752 36 1934.577 1829.083 1724.927 1621.571 37 1873.960 1770.147 1667.544 1565.6'4 38 1813.707 1711.539 1610.451 1509.89. 39 1753.859 1653.299 1553.686 1454.464 40 1694.462 1595.46 ) 1497.292 1399.367 41 1635.559 1538.091 1441.337 1344.637 42 1577.196 1481.21- 1385.777 1292.317 43 1519.420 1424.872 1330.743 1236.449 44 1462.279 1369.1,22 1276.252 1183.778 45 1405.827 1314.013 1222.355 1132.2D2 46 135C.114 1259 597 1169.103 1078. 23 47 1295.198 1205.928 1116.549 1026.444 48 1241.141 1153.066 1064.751 975.572 49 1188.005 1131.077 1013.776 925.47) 50 1135.860 1050.025 963.689 876.2J7 18

WILLOW RUN LABORATORIES R HRANCH LINE POSITIONS FOR DELTA V = 2 J VO TO V2 V1 TO V3 V2 TO V4 7789.056 744.OC(3 7115.985 1 7824.018 7481.577 7148.194 2 7855.836 7512.087 7177.411 3 7884.466 7539.492 72C3.594 4 7909.870 7563.751 7226.705 5 7932.011 75s4. 832 724z6.7'9 6 7953.855 76 2.694 7263.571 7 7966.373 7617.315 7277.261 8 7978.537 7623.663 7287.753 9 7987.324 7636.716 7295.020 1 7992.713 7641.452 7299.242 11 7994.687 7642.853 7299.797 12 7993.232 7643.9(2 7297.270 13 7988.337 7635.589 7291.446 14 7979.995 7626.903 7282.315 15 7968.26' 7614.838 7269.&67 16 7952.951 7599.389 7254.C96 17 7934.248 758'.554 7234.997 1 7912.096 7556.336 7212.5C8 19 78 756.5 7532.73 7186.8, 8 20 7857.47C 75:3.759 7157.720 21 7825.015 7471.41? 7125.3 5 22 7789.147 7435.7(3 7'89. 5'9 23 7749.881 73v-'.643 7)5,.515 24 77:7.23 73)4.240' 73C8.149 25 7661.213 73..507 6962.480 26 7611.845 7259.456 6913.511 27 7559. 144 720 7. 095 6861.249 2 75C3.125 7151.438 6805.698 -9 7443. C6 72,92.494 6746.863 3 7381. 2'7) i 3.27? 7 6684.744 U,1 7315.323 6964.778 6619.342 37 7246.186 6896.i 17 655r.653 3 3 7173.796 6823.989 6478.672 34 798. 161 6748.692 64,3.387 35 7019.282 667-.121 6324.785 36 69937.154 658i.263 6242.844 37 6c51.773 65:3.1"1 6157.539 3 6763.122 6414.614 6368.834 39 6671.181 6322.767 5976.693 4' 6575.922 622.. 526 5881. 65 41 6477.36 6 12.? 4' 571.893 42 6375.293 6026.654 5679.1"7 43 6269.822 5923.911 5572.630 44 6160.825 5811.5CO 5462.370 45 6048.224 5569.360 5348.223 46 5931.926 5581.376 5239.372 47 5811.823 5463.427 51C7.781 48 5687.792 5335.377 4981.202 49 5559.693 5206.072 4850.168 3'> 5427.369 5072.339 4714.491 19

WILLOW RUN LABORATORIES P BRANCH LINt POSITIONS FOR OELTA V = 2 J VO TO V2 Vi fO V3 V2 TO V4 1 7709.862 7371.843 7D42.765 2 7665.769 7329.354 703C1.849 3 7618.71 7223.993 695P.127 4 7568.76? 7235.815 6911.654 5 7515.977 7184.876 6F82.484 6 746?.423 7131.235 681I.672 7 7402.159 7374.952 6755.276 g 7341.25. 7016.087 6699.357 9 7277.761 6954.765 6639.974 1? 7211.76c 689'.872 6578. 19 11 7143.317 6524.651 6514.D3 12 7072.5C1 6756.111 6447.671 13 6999.363 668D.319 6379.065 4 6924.036 6612. 344 63C8.316 15 6946.532 6537.255 6235.438 16 6766.945 64o.123 6160.641 17 6685.348 6381.017 6383.861 18 6601.815 630.CC6 6)05.195 19 6516.423 6217.16: 5924.715 2'- 6429.237 6132.552 5842.487?1 6340.339 6046.243 5758.575 22 6249.799 5955. 33 5673. 43 23 6157.690 5969.818 5585.957 24 6064.083 5777.833 5497.377 25 5969.350 5685.424 54 7. 3,7 26 5872.659 5591.654 5315.9?6 27 5774.981 5496.587 5223.294 28 5676. 83 54:,.287 5129.349 29 5576.031 530 2.8 14 534.2 7 3? 5474.8b9 52?4.22: 4937.923 31 5372.722 51:4.591 4843.551 32 5269.593 5333.954 4742.143 33 5165.50t 4902.377 4642.748 34 5260.684 4799.912 4542.416 35 4955. 21 4696.612 4441.194 36 4848.628 4592.525 4339.126 37 4741.558 4487.7C3 4?36.2~8 38 4633.865 4382.193 4132.529 39 4525.601 4275.938 4:028.282 40 4416.814 4169.288 3923.255 41 4307.555 4061.979 3817.586 42 4197.869 3954.160 3711.312 43 4087.803 3845.867 36:4.468 44 3977.403 3737.141 3497.388 45 3866.715 3628.023 3389.278 46 3755.783 3518.553 32P3.861 47 3644.649 343:8.766 3172.080 48 3533.358 3298.7C2 3362.897 49 3421.956 3188.4C2 2953.348 50 3310.486 3077.902 2943.465 20

WILLOW RUN LABORATORIES R BRANCH LINE POSITIONS FOR CELTA V = 3 J VO TO V3 V1 TO V4 V2 TO V5 114-9.587 10905.396 10413.888 1 11441.615 10936.100 10443.283 2 11469.034 10962.308 10468.281 3 11491.805 10923.983 104e88.44 4 11509.894 11021.087 10504.936 5 11523.269 11013.592 10516.528 6 11531.905 11021.47' 10523.592 7 11535.780 11024.699 10525.1C3 8 11534.875 11023.259 10524.043 11529.178 11017.137 10517.395 1" 11518.679 11006.320 10506.145 11 11533.372 1C992.801 10499.285 12 11483.257 1097?.578 1n469.808 13 11458.338 13945.649 10444.711 14 11428.620 10916.020 10414.995 15 11394.115 1081.696 1C380.663 16 11354.835 10842.688 10341.722 17 11310.80C 10799.C10 10298.181 18 11262.030 10750.677 10252.350 19 11208.548 13697.708 10197.343 2' 11150.380 12642.124 1014.3074 21 11087.555 10577.946 10378.262 22 11020. 12 10511.2CO0 1C3 1.972 23 1094~.054 10439.910 9941.375 24 10871.444 17364. 102 965.738 25 10790. 37 132283. 804 9785.932 26 10704.675 10199. 41 9701.674 27 10614.583 1301 9.38 9612.982 28 10520.064 10010.221 9519.871 29 10421.150 9918.213 9422.355 39 10317.871 9815.833 9323.445 31 10210.255 97 9.99 9214.148 32 10098.326 9593.025 9103.468 33 9982.103 9482.622 8988.403 34 9861.6t3 936..892 8868.945 35 9736.837 9238.835 8745.083 36 9607.8C8 911"..442 P616.794 37 9474.512 8977.697 8484.052 38 9336,940 884,.576 8346.P16 39 9195.369 8699..46 8205.042 40 9048.871 8553.061 8058.668 41 8898.303 8402.565 7907.625 42 8743.313 8247.490 7751.829 43 9583.833 8087.754 7591.182 44 8419.781 7923.259 7425.570 45 8251.063 7753.892 7254.863 46 8077.562 7579.522 707P.913 47 7899.148 7399.999 6897.554 48 7715.669 7215.153 6710.596 49 7526.951 7024.794 6517.830 50 7332.8CO 6820.705 6319.020 21

WILLOW RUN LABORATORIES P HRANCH LINE POSITIONS FOR PDLTA V = 3 J VC TO V3 VI TO V4 V2 TO V5 1 11331.881 1083.67 2 10342.377 2 11286.300 10780.746 10299.752 3 11236.306 10738.516 10?53.217 4 11181.958 10686.036 10222.524 5 11123.316 10629.367 101.47.733 6 11060.446 10568.571 1008P.9'2 7 19993.417 10503.714 13026.096 8 10922.300 13434.F63 9959.378 9 10847.168 10362.091 9888.816 1?' 1768.099 10285.468 9814.4O0 11 10685.171 10205.072 9736.442 1? 10598.466 1012.979 9654.775 1 10508.868 10033.266 9569.553 14 1^414.061 9942.C20 9480.854 15 10316.532 9847.316 9388.752 1, 16 215.57- 9749.240 9293.327 17 1U111.263 9647.875 9194.557 18 1C0-3. 70C 9543.305 9092.822 19 9892.972 9435.615 8987.899 22 9779. 171 9324. 91 9879. 95:9 21 9662.386 9211.216 8769.1-9 22 9542. 708 9094.675 8655.398 23 9420.229 8975.352 8538.913 24 9295.038 8853.330 8419.731 25 9167.223 8720.691 8297.928 26 9036.873 8601.516 8173.575 27 9904.075 8471.884 8046.747 2P9 768.913 8339.~72 7917.512 29 8 631.470 B82 05.557 7785.940 8491.82 b809.012 7652.096 3] 8350.067 7930.309 7516.044 32 8206.263 7789.516 7377.844 33 8069.491 764..698 7237.554 34 7912.823 7501.921 7095.231 35 7763.328 7355.244 695 2.925 36 7612.070 7206.725 6P74.SP5 37 7459.114 7956.417 6656.556 30 7304.519 6904.371 6506.580 39 7148.341 6750.635 6354.796 4' 6990.633 6595.250 6201.237 41 6831.443 6438.258 6045.935 42 6670.818 6279.695 5888.915 43 6508.798 6119.592 5730.200 44 6345.422 5957.977 5569.813 45 6180.726 5794.876 54C7.760 46 6014.739 5630.312 5244.061 47 5847.487 5464.297 5378.720 4P 5678.994 5296.848 4911.739 49 5509.281 5127.973 4743.121 50. 5338.363 4957.678 4572.858 22

WILLOW RUN LABORATORIES APPENDIX V PARTITION FUNCTIONS FOR HYDROGEN FLUORIDE 23

WILLOW RUN LABORATORIES TEMPERATURE DEG. K PARTITION FUNCTION 273.30 2.0 4577eF- 4 373.30 4.8666988F-03 500.00 4.784836CF-02 CG00 00 1. 143566'- 0 1500.00 7.4138553C.; 2000.00 1.6824128E:1 25'0.00 2.9801752F i3 30 0.00 4.62689080 1 3500.00 C.6251993E c1 40'0.00 3.9831955F 31 4500.00 1.1712043 C 2 5000.00 1.4824751E C2 25

WILLOW RUN LABORATORIES APPENDIX VI ANHARMONIC OSCILLATOR LINE STRENGTHS AND CORRECTION FACTORS FOR HYDROGEN FLUORIDE 27

WILLOW RUN LABORATORIES STRFNGTHS AND F FACTORS OF THE V = 0 TO V = 1 TRANSITIONS OF HF TEMPERATUE = 273.3 DEG. K R BRANCH P BRANCH J S(J) F(J) S(J) F(J) 4.23261E 01 9.4899rE-01 1 6.52483E 01 8.9968rE-31 3.70533E 01 1.05274E 03 2 6.06794E 01 8.52341E-C1 5.00205E 01 1.14724E 00 3 4.03667E 01 9.06J42E —1 4.07647E l1 1.16353E 03 4 2.32753E r01 7.61656E- 1 2.37892E 01C 1.22164E 4 0l b 7.88154E 00 7.18852E-3] 1.04963F 01 1.281b6E 00 6 2.43437E 0 6.77603E —l1 3.59337E 00 1.34344E 0; 7 5.80971E-01 6.37879F-C1 9.65796E-91 1.40720E 0a 3 1.11875 -01 5.99654tE-1 2.06236E-01 1.47290E 00 9 1.72696E-02 5.62897E-01 3.52056E-02 1.54058E 00 1, 2.14654E-03 5.27583E-01 4.83165E-03 1.61027E 00 11 2.15749F-04 4.936825-Ci1 5.35764E-04 1.68199E OC 12 1.76065E-05 4.61168E-1 4.82215E-05 1.75579E 03 13 1.17121E-06 4.33314E-01 3.53836E-06 1.8317CE 00 14 6.37627E-08 4. 0192E-'1 2.1256E-07 1.9 974E 00 15 2.85242E-09 3.71677E-1 1.15330E-08 1.98995E 07 16: 1.35283E-10 3.44441 -1 4.28585E-13 2.07236E 033 17 3.21977E-12 3.1845 E -1 18-1.45093F-11 2.15702E O 1i, 8.19373E-14 2.937?2E-: I. 4.09348F-13 2.24394E 0: 1 11.74?80E-15 2.7 148c —1 9.67'03E-15 2.33317E 0C 2.: 3.11237E-17 2.47769F-01 1.92187E-15 2.42473E 01' 21 4.68844E-19 2.26541E-_1 3.22935E-16 2.51667E 0' 22 5.98579E-21 2.06439E-31 4.61093E-23 2.6151vE 00 23 6.53847E-23 1.87436E-01 5.62332E-22 2.71380E OC 24 6.05692E-25 1.69509E-Cl 5.88878E-24 2.81556E 00 25 4.84847E-27 1.52633E-01 5.32405E-26 2.91884E 00 26 3.35559E-29 1.36724E-1 4. 17875E-28 3.02516E 03 27 2.01825E-31 1.21938E-',1 2.86353F-33 3.1347E 00O 2 1.06042E-33 1.C8071-031 1.72311E-32 3.24559E 00 29 4.89253E-36 9.51590E-02 9.15887E-35 3.35977E O0 3(,.Q0000E 00 8.31793E-02 4.32610E-37 3.47664E 00 31.OY;3E 00 7.21364E-02.C0O00E 03 3.59623E 09 32.O000 OE 0 6.19235E-02.OUOO0E O0 3.71859E 00 33.O300o0 00 5.26318E-02.00000E CO 3.84376E 00 34.0003CO 00 4.4120PE-02.OO3COE 03 3.97175E 00 35.OO00E 00 3.64583E-02.'0000E 03 4.13263E 00 36.03000E O0 2.95922E-02.00303E 03 4.23642E O0 31 OOOOO3 E 00 2.35308E-02.3OOCOE 03 4.37315E 00 3P.Q;OCOOOE'0 1.81523E.-02.C0030E 03 4.51288E 30 39.03,000E O0 1.35554E-92.0003F 0O 4.65564E 00 40.033OOOE 0 9.65897E-33.030003 03 4.80145E 00 41.0OOO(E 00 6.45208E-03.00003 03 4.95038E 00 42.03000E 00 3.91398E-03.00003E 03 5.10244E 00 43.93000E 0 2.02420E-03.3OCOOOE 0 5.25769E 00 44.0300E 00 7.62462E-04.OO203E 00 5.41616E 00 45.007,0E 00 1.06714E-04.00033E 03 5.57789E 00 46.000OOE 00 4.31292E-`5.000n0E 03 5.74293E 00 47.09030E 00 5.46104E-04.OOOOE 03 5.91130E 00 48.OOOOOE OC 1.59825E-03.00000E 00 6.08305E 00 49.03000E 00 3.18041E-03.C0333E 03 6.25823E 00 5:.00000 E CO 5.27365E-03.0033E 03 6.43687E 00 SUM S(J) FOR R = 2.39894176E 02 SUM S(J) FOR P = 1.66926862E 02 29

WILLOW RUN LABORATORIES STRENGTHS AND F FACTORS OF THE V = 0 TO V = 1 TRANSITIONS OF HF TEMPERATURE = 373.3 DEG. K R BRANCH P BRANCH J S(J) F(J) S(J) F(J) 0 2.28924E 01 9.48990E-01 1 3.73967E 01 8.99680E-01 2.12367E 01 1.05274E 0! 2 3.90512E 01 8.52341E-01 3.21915E 01 1.10724E 0' 3 3.09J53E 01 8.C6342E-)1 3.12100E 01 1.16353E O3 4 1.95698E 01 7.61656E-01 2.29509F 01 1.22164C 00 5 1.01463E 01 7.18852E-01 1.35125E 01 1.28160E C0O 6 4.37215E 03 6.77603E-01 6.52879E 03 1.34344E 00 7 1.57870E 00 6.37879E-31 2.62485E 03 1.4072CE 00 8 4.83h11E-01 5.99654E-01 8.85984E-01 1.47290E 00 9 1.23953E-C1 5.62897E-01 2.52689E-01 1.54058E 00 12 2.71914E-02 5.27583E-01 6.12349E-032 1.61027E 00 11 5. 9163E-03 4.93682E-D1 1.26439E-02 1.68199E 00 12 8.16524E-04 4.61168BE-1 2.23633F-03 1.75579E 00 13 1.12497E-C4 4.36014E-01 3.39864E-04 1.83170E 00 14 1.33573E-G5 4.00192E-01 4.45332E-05 1.90974[ 00 15 1.37102E-06 3.71677c-01 5.04825F-06 1.98995E 00 1f 1.22"31E-07 3.44441E-01 4.96759E-07 2.07236E 00 17 9.44857E-09 3.18458E-C1 4.25772E-C8 2.15732E 00 1I 6.38450C-10 2.93702E-31 3.18959E-09 2.24394E 00 19 3.77721E-11 2.70148E-01 2.09579E-13 2.33317E 00 2; 1.96313t-12 2.47769E-01 1.21220E-11 2.42473E 00 21 8.99362E-14 2.26541E-01 6.19461E-13 2.51867E 00 22 3.64447E-15 2.06438E-01 2.00733E-14 2.61501E r0 23 1.31092E-16 1.87436E-031 1.13261F-15 2.71380E 00 24 4.25C62E-18 1.69509E-U1 4.08395F-17 2.8150U6 0C 25 1.2C341E-19 1.52633E-01 1.32143E-18 2.91884E 00 26 3.09359L-21 1.36784E-01 3.85229E-23 3.02516E 00 27 7.16228C-23 1.21938E-D1 1.01613F-21 3.13407E 00 28 1.49890E-24 1.08071E-01 2.43541E-23 3.24559E 00 29 2.84586E-26 9.51590E-C2 5.32692E-25 3.35977E 00 3C 4.91971E-28 8.31793E-02 1.06801E-25 3.47664E 00 31 7.77111E-3 7 7.21084E-02 1.97163E-28 3.59623E 00 32 1.12545E-31 6.19235E-02 3.36679E-30 3.71859E 00 33 1.49922E-33 5.26018E-02 5.34284E-32 3.84376E 00 34 1.94242E-35 4.4120E-032 7.91690F-34 3.97175E 00 35.030:;E 0Q 3.64583E-.02 1.10069E-35 4.10263E 00 36.303OOE 00 2.95922E-02,00003E 00 4.23642E O3 37.00000E 00 2.35D08E-C2.OC0E 03 4.37315E 00 38 O.30000 00 1.81623E-02.00OO9E 03 4.51288E 0' 39.OOOi OE 00 1.35554E-02.00003E 0D 4.65564E 30 493.000OE 00 9.65897E-03.0000DE 03 4.80145E 00 41.00000E 00 6.45208E-03.00000E 03 4.95038L 00 42 G.O)OOO G3 3.91390E-03.0000rE 0O 5.12244E 0O 43.001O0E 00 2.C2420E-03 OOOO0E 00 5.2769E 00 44.000CrOE 00 7.62462E-04.OOCOOE 00 5.41616E 00 45.0000E 00 1.08714E-C4.OCOO3E 00 5.57789E 0O 46.O0000E 00 4.31292E-05.30000E 00 5.74293E 0C 47.03000E 00 5,461u4E-04.000E 00E 5.91130E 00 47.000OE 00 1.59825E-03.00003E 00 6.08305E 03 49.CO0OOE 00 3.18041E-03.00003E 03 6.25823E 00 51.300n0E 00 5.27365E-03.00000F 00 6.43687E 00 StJM S(J) FOR R = 1.66541359E 02 SUM S(J) FOR P = 1.31470364E 02 30

WILLOW RUN LABORATORIES ST;RENGTHS ANP F FACTORS OF THE V = 0 TO V = 1 TRANSIlIONS OF HF TEMPERATURE = 530.3 DEC. K R BRANCH P BRANCH J S(J) F(J) S(J) F(J) 1.23349E 01 9.48999E-01 1 2.13259E 01 8.9968fE-01 1.23944[ 31 1. 5274 C 00 2 2.46961E 01 8.52041E-4I1 2.03579F 31 1.13724E D0 3 2.23423E 01 8.6)2E- 2.22594E 0;1 1. 1353E 00 4 1.63738E 01 1.61656E-Cl 1.92113E 01 1.22164E D0 5 1.03713E G1 7.18852E-01 1.38119E 01 1.2816CL 00 6- 5.67672E 00 6.77622E-uI1.47671F 00 1. 4344E 00 7 2.70749E 00 6.378 93r-011 4.5C156F 00 1.4372 - 00 1.1 3180F 00 5.99054LE —1 2.0636E 00 1.47290E 00 3 z4.16496E-01 5.62897E-'1 8.49j36-01 1.54058E 00 1, 1.354 0L-01 5.27583E-01 3.04778E-01 1.61 27E 00 11 3.90128E-02 4.93682E-01 9.68749E-02 1.68199E 00 12 9.98858E-03 4.6116OE-01 2.73557E-02 1.75579E 00 13 2.27857E-03 4.30314E-31 6.88336E-03 1.83170E 00 14 4.64265E-04 4.0( 0192E-01 1.54775E-03 1.90974E 00 15 8.46989E-5C 3.716/7E-01 3.11844E-04 1.98995E 00 16 1.38692E-05 3.44441E-01 5.64521F-05 2.07236E 00 17 2.04334E-06 3.18458E-01 9.20653E-06 2.137:J2E 003 1; 2.71525E-07 2.93702E-Q1 1.35629E-05 2.24394E 00 19 3.26239E-08 2.7011488E-1 1.80982E-07 2.33317E 00 20 3.55309E-09 2.47769E-01 2.19353E-08 2.42473E 00 21 3.51662E-10 2.26541E-01 2.42157E-09 2.51o7E 0b 22 3.17109E-L1 2.06438E-:!1 2.44196E-10 2.615j1E 002 23 2.61208 —12 1.87436E-01 2.25599F-11 2.71330E OC 24 1.97059E-13 1.695r9E-01 1.91506E-12 2.R1506E OC0 25 1.36517E-14 1.52633E-31 1.49827E-13 2.91884E 00 26 8.70771E-16 1.36784E-01 1.08369E-14 3.02516E 00 27 5.12737E-17 1.2193E-1 7.2196920E-16 3.1347r[ 00 28 2.79443E-18 1.08071-01 4.53661E-17 3.24559E OC 29 1.41326E-19 9.51590E-02 2.64273E-18 3.35977E 00 3J 6.64911E-21 8.31793E-02 1.44174E-19 3.47664E OC 31 2.91721E-22 7.21084E-02 7.39098F-21 3.59623E 00 32 1.19-6242-23 6.19235E-0? 3.57262E-22 3.71a59E 00 33 4.59411E-25 5.26018E-22 1.63401E-23 3.P4376E 00 34 1.65534E-26 4.41208E- 2 7.09653E-25 3.97175E 00 35 5.60350E-28 3.64583E-02 2.93717E-26 4.10263E OC 36 1.78334E-29 2.95922E-02 1.16279E-27 4.23642E 00 37 5.3350GE-31 2.35008E-02 4.41962E-29 4.373152 00 38 1.49793E-32 1.81623 —02 1.61899E-33 4.51288E 01 39 3.93253E-34 1.35554E-02 5.73813E-32 4.65564E 00 4i 9.58164E-36 9.65897E-03 1.97558E-33 4.80145E 00 41.0300 00 3 6.45208E-03 6.63429E-35 4.95389E 00 42.0300 E 00 3.91398E-03 2.18217E-35 5.1 0244E 0 43.OOOE 00 2.02420E-03.OO00OE 03 5.25769E 00 44.00OOOE 00 7.62462E-04.02002E 03 5.41616E 00 45.00003E 00 1.08714E-J4.00003E 00 5.57789E 00 46.00000E CO 4.31292E-05.03330 E 00 5.74293E 00 47.03009nOE 00 5.46104E-04.00030E 03 5.91130E 00 48.00300E 00 1.59825E-03.00000E 00 6.08305E 00 49.00000E 00 3.18041E-03. 3003E 00 6.25823E C0 50r.3.0'30E 03 5.27365E-03.03003E 00 6.43687E 00 SUM S(J) FOR R = 1.18264088E 32 SUM S(J) FOR P = 1.04386434E 02 31

WILLOW RUN LABORATORIES STRENGTHS ANC F FACTORS OF THE V = 0 TO V = 1 TRANSITIONS OF HF TEMPERATURE = 1000.3 DEG. K R RA P RANCHP BRANCH J S(J) F J) S(J) F(J) 3.20782E O0 9.48990E-01 1 5.78832E 00 8.9968CE-01 3.28522E 00 1.05274E 00 7.37264E 00 8.52041E-01 6.07188E 00 1.13724E 00 3 7.85694E 00 8.06042E-01 7.92390E 00 1.16353E 00 4 7.38993 3J0 7.61656E-01 8.65578E 00 1.22164E 00 6.28331E 0 7.18852E-01 8.34999E 00 1.28160E 00'6 4.89243E 00 6.77603E-01 7.28698F O0 1.34344E 00 7 3.51634E 00 6.37879E-01 5.82886E 00 1.40720E 00 8 2.34526E 00 5.99654E-31 4.3r026E GO 1.47290E 00 9 1.45710E 00 5.62897E-01 2.95851E 00 1.54058E 00 1 8P.45781E-01 5.27583E-01 1.89509F 00 1.61027E 0C 11 4.59756E-01 4.93682E-01 1.13583E 00 1.68199E 00 12 2.34514E-01 4.61168E-01 6.38589E-01 1.75579E 00 13 1.12448E-01 4.30014E-31 3.37522E-01 1.83170E 30 14 5.07653E-02 4.00192E-C1 1.68034E-01 1.90974E 00 15 2.16106E-02 3.71677-C1 7.89360E-02 1.98995E CO 16 8.68689E-03 3.44441E-01 3.5C483E-02 2.07236E OC 17 3.33183E-03 3.18458E-1 1.47324F-02 2.1572'2E 30 1b 1.18826E-03 2.93702E-01 5.87181E-03 2.24394E 00 19 4.05422E-04 2.7014PE-01 2.22247E-03 2.33317E 0O 2C 1.31310E-04 2.47769E-01 8.00374E-04 2.42473E 00 21 4.34236E-05 2.26541E-C1 2.74360E-04 2.51867E 00 22 1.18432[-05 2.06438E-C1 8.97590E-05 2.61501E 00 23 3.30625E-06 1.87436E-01 2.805909-05 2.71380E 00 24 8.80580E-07 1.69509E-01 8.39426E-06 2.81506E 00 25 2.24C22E-07 1.52633E- 1 2. 4711E-05 2.91884E OC 26 5.45011E-08 1.36784E-1l 6.62679E-07 3.02516E 00 27 1.26941E-08 1.21938E-31 1.75432E-07 3.13407E 00 28 2.83363E-09 1.C0D71E-01 4.47321E-08 3.24559E 00 29 6.06819E-10 9.51590E-02 1.10342E-08 3.35977E 00 3d 1.24776E-10 8.31793E-02 2.61606E-09 3.47664E 00 31 2.46542E-11 7.21084E-02 6.02049E-10 3.59623E 00 32 4.68365E-12 6.19235E-02 1.34355E-10 3.71859E 00 33 8.55769E-13 5.26018E-02 2.91257E-11 3.84376E 00 34 1.5C387E-13 4.41208E-02 6.14419E-12 3.97175E 00 35 2.54068E-14 3.64583E-02 1.26357E-12 4.10263E 00 36 4.12191E-15 2.95922E-02 2.53790E-13 4.23642E 03 37 6.40871E-16 2.35008E-02 4.98763E-14 4.37315E C0 38 9.51617E-17 1.81623E-02 9.60906E-15 4.51288E 00 39 1.34182E-17 1.35554E-02 1.81832E-15 4.65564E 00 40 1.77976E-18 9.65897E-03 3.38624E-15 4.80145E 03 41 2.18486E-19 6.45208E-03 6.21866E-17 4.95038E 00 42 2.40987E-20 3.91398E-03 1.12850E-17 5.10244E 00 43 2.24684E-21 2.02420E-03 2.02796E-18 5.25769E 00 44 1.51611E-22 7.62462E-C4 3.61671E-19 5.41616E 00 45 3.85688E-24 1.08714E-04 6.41577E-23 5.57789E 00 46 2.72541E-25 4.31292E-05 1.13470E-20 5.74293E 00 47 6.15131E-25 5.46104E-04 2.00571E-21 5.91130E 00 48 3.21955E-25 1.59825E-03 3.55233E-22 6.08305E 00 49 1.15254E-25 3.18041E-03 6.32081E-23 6.25823E 00 50 3.46789E-26 5.27365E-03 1.13308E-23 6.43687E 00 SUM S(J) FOR R = 5.18487209E 01 SUM S(J) FOR P = 5.89824528E 01 32

WILLOW RUN LABORATORIES STRENGTHS ANP F FACTORS OF THE V = 2 TO V = 1 TRANSITIONS OF HF TEMPERATURE = 1500.D nEG. K R BRANCH P BRANCH J S(J) F(J) S(J) F(J) 1.37112E 00 9.48990E-01 1 2.52492E 00 9.9968i-E- 1 1.43C18E 03 1.n5274E 0" 2 3.34722E O0 8.52041 -01 2.74747E OD 1.1C724E 00 3 3.78610E 00 8.06042E-01 3.83047E OD 1.16353E 00 4 3,85423E 00 7.61656E-G1 4.48711E CO 1.22164E 0'. 5 3.61648E 0C 7.18e52E-C1 4.77025E S0 1.28160-E 00 6 3.16819E 00 6.77603E-01 4.67706F 0 1.34344E 0 7?.61152E 00 6.37879E-01 4.28442E 00 1.4u720E 00' 3?.03594E n0 5.99654E-01 3.69599E,3 1.472906E O 9 1.50663E 00 5.(,2897E —1 3.301641F j 1.54'5bSE O? 1 1.06120E 00 5.27583E-C1 2.34244F 00 1.61C27E O0 11 7.12967"-01 4.93682E-31 1.73236E 02 1.68199E 30 12 4.577C1E-01 4.61168E-01 1.22371E 03 1.75579E 00 13 2.0117~E-01 4.3C0?14E-D1 8.27201E-01 1.83 17iE 0 14 1.65514E-01 4.C0192E-C1 5.35975E-01 1. 9974E 30 15 9.34658E-02 3.71677E-01 3.33358E-01 1.98995)t 0O 16 5.06878E-02 3.44441E-01 1.99293E-01 2.07236E 02 17 2.64257E-02 3.18458E-01 1.14665E-31 2.157>2E 00 12 1.32568E-02 2.93702E-J1 6.35682E-02 2.24394E 00 19 6.40526E-03 2.7 148E-01 3.39956E-02 2.33317E 00 2' 2.98334E-03 2.47769E-31 1.75577E-02 2.42473E 03 21 1.34063E-03 2.26541E-01 8.767C1E-03 2.51867- 0 22 5,817 9E-04 2. 064.3 8 E-1 4.23694-0i3 2.61501E 00 23 2.43917E-04 1.87436E-01 1.984,2?F-03 2.7136dE'0 24 9.89113E-05 1.695 9E-) 1 9.31161E-04 2.815,J6E 00 25 3.88176E-05 1.52633E-01 3.97467E-04 2.91804E 0: 26 1.47531- 05 1.36784E-J1 1.7;'41 E-04 3. 2516E 30 27 5.43347 -706 1.21938E-01 7.11C98E-05 3.134,-7E OC 2 1.94021E-06 1. 0071E-01 2.89385E-35 3.243595 00 29 6.72042E-27 9.5159E0-02 1.14628E-05 3.35977E O0 33 2.25876E-07 8.31793E-02 4.43831E-05 3.47b64E 00 31 7.36814E-08 7.21084E-C2 1.67998E-05 3.59623E 00 32 2.33272E-08 6.19235E-02 6.22376E-07 3.71259E 00 33 7.16604E-09 5 5.26018E-02 2.25928E-07 3.i4316E 00 34 2.13479E-09 4.41208E-02 8.3,4581E-08 3.97175E 00 35 6.16071E-10 3.64583E-02 2.81432E-08 4.10263E 03 36 1.71936F-10 2.95922E-02 9.68%74E-09 4.23642E 03 37 4.62814E-11 2.353-08E —2 3.27876E-09 4.37315E 20 38 1.19664E-11 1.81623E-32 1.09477E-09 4.512886 00 ^9?.95312E-12 1.35554E-?2 3.60831E-13 4.65564E 03 4~ 6.e8581E-13 9.65897E-03 1.1754E-13 4.P8145t,3 41 1.49159E-13 6.45208F-03 3.79300E-11 4.9503RE 0042 2.91183E-14 3.91398E-03 1.21106E-11 5. 1244E J0 43 4.816C3E-15 2.02422E-03 3.84066E-12 5.25769E 00 44 5.77304E-16 7.62462E-04 1.21256E-12 5.41616E 0 45 2.61165E-17 1.2'8714F-04 3.79804E-13 5.57789E 00 46 3.28120E-18 4.31292E-05 1.18795E-13 5.74293E uo 47 1.31553E-17 5.461C04E-04 3.71220E-14 5.91130E 00 4P 1.22092E-17 1.59825E-03 1.15904E-14 6.083'35E 0C 49) 7.72920E-18 3.18041E-03 3.62799[-15 6.25823E 00 56 4.09762E-18 5.27365E-03 1.14002E-15 6.43067E 00 SUr S(J) FOR R = 3.06964484E 01 SUM S(J) FOR P = 4.j35205e4E 31 33

WILLOW RUN LABORATORIES STRENGTHS AND F FACTORS UF THE V = j TO V = 1 TRANSITIONS OF HF TEMPERATURE = 2030.0 DEG. K R bRANCH P BRANCH J S(J) F(J) S(J) F(J) 7.14039L-01 9.48990E- 1 1 1.32911E 0 8.99680E-:1 7.50882E-01 1.05274E 30 2 1.79841E 30 8.52041E-01 1.46975E 09 1.10724E 00 3 2.09667E 00 8.06342E-?-1 2.09181E 03 1.16353E 30 4 2.22147E O0 7.61656C-01 2.56596E 00 1.22164 00O 5 2.19'59E 00 7.18852E-31 2.86170E 0D 1.28160E 00 6 2.03629E 00 6.77603E-01 2.97188E 00 1.34344E 30 7 1.79815E 00 6.37879E-01 2.91118E 00 1.40720E 00? 1.51607E 00 5.99654E-C1 2.71103E 00 1.47290E 00 9 1.22478E C0 5.62397E-01 2.41251E 03 1.54058E 00 1; 9.50550E-01 5.27583E-01 2.05904E 03 1.61027E 00 11 7.10150-0C1 4.93682E-01 1.69C08E 03 1.6b199E 00 12 5.11550E-01 4.6116PE-01 1.33699E 00 1.75579E 30 13 3.55776E-01 4.3C014C-01 1.02115E 00 1.83170[ 00 14 2.39176-01l 4.00192E-01 7.54103E-01 1.90974E 00 15 1.55579E-01 3.71677E-01 5.39164E-01 1.98995E 00 16 9.80113E-02 3.44441E —1 3.73648E-01 2.07236E 00 17 5.98485E-022 3.18458E- 1 2.5126DE-01 2.157 2E 0 18 3.54501E-02 2.93702E-C1 1.64111E-01 2.24394E CC 19 2.03836E-02 2.7C148E-01 1.04212E-01 2.33317E 30 20,< 1.13852E-02 2.47769E-01 6.43971E-02 2.42473E 00 21 6.18115E-03 2.26541E-31 3.87586E-02 2.51867E 00 22 3.26387E-03 2.,6438E-01 2.27408E-02 2.61501E 00 23 1.67716E-03 1.87436E-01 1.30182E-32 2.71380E OC 24 8.39117E-04 1.69509E-01 7.27750E-03 2.81506E 00 25 4.08963E-04 1.52633E-01 3.97620E-03 2.91884E 00 26 1.94243E-04 1.36784E-01 2.12509E-03 3.02516E 00 27 8.99422E-05 1.21938E-01 1.11194E-03 3.13407E 00 28 4.0612LE-05 1.08071E-C1 5,70123E-04 3.24559E 00 29 1.78867E-05 9.51590E-0? 2.86659E-04 3.35977E 00 30 7.68412E-06 8.31793E-02 1.41479E-04 3.47664E 00 31 3.21975E-06 7.21084E-02 6.85982E-05 3.59623E 00 32 1.31552E-06 6.19235E-02 3.27044E-05 3.71859E 30 33 5.23823E-07 5.26018E-02 1.53447E-05 3.84376E 00 34 2.03098E-07 4.41208E-02 7.09176E-06 3.97175E 00 35 7.65726E-08 3.64583E-02 3.23137E-05 4.10263E 30 36 2.80163E-08 2.95922E-02 1.45295E-05 4.23642E 0'7 37 9.918COE-09 2.35008E-02 6,45283E-07 4.37315E 00 38 3.38215E-09 1.81623E-02 2,83329E-07 4.51288E 00 39 1.10359E-09 1.35554E-02 1.23109E-07 4.65564E 30 40 3.40978E-10 9.65897E-03 5.29867E-08 4.80145E 03 41 9.80523E-11 6.45208E-03 2.26129E-08 4.95038E 00 42 2.54479E-11 3.91398E-03 9.57859E-09 5.10244E 00 43 5.60183E-12 2.32420E-03 4.03131E-09 5.25769E 00 44 8.94486E-13 7.62462E-04 1.68761C-09 5.41616E 03 45 5.39057E-14 1.08714E-04 7.03487E-13 5.57789E 00 46 9.02248E-15 4.31292E-05 2.92351E-10 5.74293E 00 47 4.81669E-14 5.46104E-04 1.21266E-13 5.9113CE 00 48 5.94668E-14 1.59825E-03 5.32696E-11 6.08335E 00 49 5.00085E-14 3.18041E-03 2,08537E-11 6.25823E 00 50 3.51509E-14 5.27365E-03 8.66923E-12 6.43687E 00 SUM S(J) FOR R = 2.00862166E 01 SUM S(J) FOR P = 2.91950130E 01 34

WILLOW RUN LABORATORIES STRENGTHS AND F FACTORS OF THE V = 0 TO V = 1 TRANSIFIONS OF HF TEMPERATURE = 2500.0 DEG. K R BRANCH P BRANCH J S(J) F(J) S(J) F(J) C- 4.12877E-01 9.48990E-01 1 7.73651E-01 8.99680E-01 4.35973E-01 1.05274E 00 2 1.06006E 00 8.52041E-01 8.62704E-01 1.10724E 00 3 1.25885E 00 8.06342E-01 1.24855E 03 1.1o353E 00 4 1.36651E 00 7.61656E-01 1.56650E 00 1.22164E 30 5 1.38862E 00 7.18852E-01 1.79729E 00 1.28160E 00 f, 1.33787E 00 6.77603E-01 1.93124E 03 1.34344E 00 7 1.23151E O0 6.37879E-01 1.96865E 03 1.40720C 00 8 1.08851E 00 5.99654E-01 1.91860E 03 1.47290E 00 9 9.27055E-01 5.62897E-01 1.79682E 03 1.54058E 30 10 7.62729E-01 5.27583E-01 1.62290 03J 1.61027E 0O 1 1 6.07397E-01 4.93682E-01 1.41743E 03 1.68199C 00 12 4.68906E-01 4.61168E-01 1.19958F 03 1.75579E 00 13 3.51365E-01 4.3 C314E-01 9.85372E-01 1.83170E 00 14 2.55833E-01 4.)a192E-01 7.86723E-01 1.90974E 00 15 1.81167E-01 3.71677E-01 6.11244E-01 1.98995E 00 16 1.24876E-01 3.44441E-01 4.62638E-01 2.07236~ 00 17 8.38438E-02 3.18458E-01 3.41445E-01 2.15702E 00 18 5.48710E-02 2.93702E-01 2.45945E-01 2.24394E 00 19 3.50232E-02 2.70148E-01 1.73345E-01 2.33317E 00 23 2.18148E-02 2.47769E-01 1.19022E-01 2.42473E 00 21 1.32664E-02 2.26541E-01 8.00898E-02 2.51867E 00 22 7.88067E-03 2.06438E-01 5.27634E-02 2,6151E i00 23 4.57477E-03 1.87436E-31 3.40573E-C2 2.71380E 00 24 2.59619E-03 1.69509E-01 2.15537E-02 2.81536E 30 25 1.44083E-03 1.52633E-01 1.33837E-02 2.91884E 00 26 7.82197E-04 1.36784E-01 8.15983E-03 3.02516E 30 27 4.15471E-04 1.21938E-01 4.88810E-03 3.13437E 00 28 2.15944E-04 1.08371E-C1 2.87912E-03 3.24559E 00 29 1.09834E-04 9.51590E-02 1.66856E-03 3.35977E 00 3C 5.46616[-05 8.31793E-C2 9.52128E-04 3.47664E 00 31 2.66119E-05 7.21084E-C2 5.35334E-04 3.59623E 00 32 1.26685E-05 6.19235E-02 2.96782E-04 3.71859E 00 33 5.89282E-06 5.26018E-02 1.62347E-04 3.84376E 00 34 2.67553E-06 4.41208E-02 8.76914E-05 3.97175E 00 35 1.18392E-06 3.64583E-02 4.68047E-05 4.10263E 00 36 5.09449E-07 2.95922E-02 2.47035E-05 4.23642E 00 37 2.12506E-07 2.35008E-02 1.29029E-05 4.37315E 00 38 8.55321E-08 1.81623E-02 6.67425E-06 4.51288E 00 39 3.29899E-08 1.35554E-02 3.42163E-06 4.65564E 00 40 1.20640E-08 9.65897E-03 1.73987E-06 4.80145E 00 41 4.11038E-09 6.45208E-03 8.78205E-07 4.95038E 00 42 1.26506E-09 3.91398E-03 4.40377E-07 5.10244E 00 43 3.30444E-10 2.02420E-03 2.19565E-07 5.25769E 00 44 6.26369E-11 7.62462E-04 1.08939E-07 5.41616E 00 45 4.48182E-12 1.08714E-04 5.38360E-08 5.57789E 00 46 8.90588E-13 4.31292E-05 2.65234E-08 5.74293E 00 47 5.64270E-1? 5.46104E-04 1.30398E-08 5.91130E 00 48 8.26305E-12 1.59825E-03 6.40374F-39 6.08305E 00 49 8.23487E-12 3.18041E-03 3.14470E-09 6.25823E 00 50 6.85150E-12 5.27365E-03 1.54595E-09 6.43687E 00 SliM S(J) FOR R = 1.38247317E 31 SUlM S(J) FOR P = 2.17132413E 01 35

WILLOW RUN LABORATORIES STRENGTHS AND F FACTORS OF THE V = O TO V = 1 TRANSITIONS OF HF TEMPERATURE = 3000.0 DEG. K R BRANCH P BRANCH J S(J) F(J) S(J) F(J) 0 2.55673E-01 9.48990E-01 1 4.81311E-01 8.99680E-01 2.70631E-01 1.05274E 00 2 6.65156E-01 8.52341E-01 5.39323E-01 1.10724E 00 3 7.99773E-01 8.06042E-01 7.89139E-01 1.16353E 00 4 8.82453E-01 7.61656E-01 1.00489E 00 1.22164E 00 5 9.15001E-01 7.18852E-01 1.17469E 00 1.28160E 00 6 9.02980E-01 6.77603E-01 1.29099E 03 1.34344E 00 7 8.54634E-01 6.37879E-01 1.35110E 00 1.40720E 0C 8 7.79629E-01 5.99654E-01 1.35698E 00 1.47290E OC 9 6.87860E-01 5.62897E-01 1.31457E 00 1.54058E 00 10 5.88444E-01 5.27583E-01 1.23272E 03 1.61027E 00 11 4.89025E-01 4.93682E-01 1.12188E 00 1.68199E 00 12 3.95392E-01 4.6116eE-01 9.92909E-01 1.75579E 00 13 3.11402E-01 4.30014E-01 8.55954E-01 1.83170E 00 14 2.39139E-01 4.00192E-01 7.19699E-01 1.90974E 00 15 1.79220E-01 3.71677E —1 5.90888E-01 1.98995E 00 16 1.31176E-01 3.44441E-01 4.74182E-01 2.07236E 00 17 9.38290E-02 3.18458E-01 3.72272E-01 2.15702E 00 18 6.56283E-02 2.93702E-01 2.86158E-01 2.24394E 00 19 4.49099E-02 2.7C148E-01 2.15531E-01 2.33317E 00 20 3.00814E-02 2.47769E-01 1.59178E-01 2.42473E 00 21 1.97307E-02 2.26541E-01 1.15351E-01 2.51867E 00 22 1.26778E-02 2.06438E-01 8.20756E-02 2.61531E 00 23 7.98268E-03 1.87436E-01 5.73769E-02 2.71380E 00 24 4.92698E-03 1.69509E-01 3.94332E-02 2.81506E 00 25 2.98158E-03 1.52633E-01?.66598E-02 2.91884E 00 26 1.76938E-03 1.36784E-01 1.77413E-02 3.02516E 00 27 1.02980E-03 1.21938E-01 1.16281E-02 3.13407E 00 28 5.87837E-04 1.08071E-01 7.51088E-03 3.24559E 00 29 3.29078E-04 9.51590E-02 4.78396E-03 3.35977E 00 30 1.80631E-04 8.31793E-02 3.00647E-03 3.47664E 00 31 9.71819E-05 7.21084E-02 1.86535E-03 3.59623E 00 32 5.12194E-05 6.19235E-02 1.14329E-03 3.71859E 00 33 2.64230E-05 5.26018E-02 6.92640E-04 3.84376E 00 34 1.33267E-05 4.41208E-02 4.15023E-04 3.97175E 00 35 6.56042E-06 3.64583E-02 2.46102E-04 4.10263E 00 36 3.14489E-06 2.95922E-02 1.44511F-04 4.23642E 00 37 1.46321E-06 2.35008E-02 8.40811E-05 4.37315E 00 38 6.57630E-07 1.81623E-02 4.85042E-05 4.51288E 00 39 2.83515E-07 1.35554E-02 2.77600E-05 4.65564E 30 40 1.15983E-07 9.65897E-03 1.57723E-05 4.80145E 00 41 4.42387E-08 6.45208E-03 8.90216E-06 4.95038E 00 42 1.52507E-08 3.9139PE-03 4.99472E-06 5.10244E 00 43 4.46395E-09 2.02420E-03 2.78766E-06 5.25769E 00 44 9.48431E-10 7.62462E-04 1.54879E-06 5.41616E 00 45 7.60727E-11 1.08714E-04 8.57212E-07 5.57789E 00 46 1.69443E-11 4.31292E-05 4.72996E-07 5.74293E 00 47 1.20311E-10 5.46104E-04 2.60403E-07 5.91130E 00 48 1.97357E-10 1.59825E-03 1.43159E-07 6.08305E 00 49 2.20192E-10 3.18041E-03 7.86610E-08 6.25823E 00 50j 2.04936E-10 5.27365E-03 4.32388E-08 6.43687E 00 SUM S(J) FOR R = 9.84511006E 30 SUM S(J) FOR P = 1.64839673E 01 36

WILLOW RUN LABORATORIES STRENGTHS AND F FACTORS OF THE V = 0 TO V = 1 TRANSITIONS OF HF TEMPERATURE = 3500.0 DEG. K R BRANCH P BRANCH J S(J) F(J) S(J) F(J) i 1.66538E-01 9.48990E-01 1 3.14585E-01 8.99680E-01 1.76550E-01 1.05274E 00 2 4.37449E-01 8.52341E-01 3.53578E-01 1.10724E 00 3 5.30723E-01 8.06042E-01 5.21363F-01 1.16353E 00 4 5.92504E-01 7.61656E-01 6.70899E-01 1.22164E 00 5 6.23324E-01 7.18852E-01 7.94707E-01 1.28160E 00 6 6.25821E-01 6.77603E-01 8.87445E-01 1.34344E 00 7 6.042442E-01 6.37879E-01 9.46275E-01 1.40720E 00 8 5.63826E-01 5.99654E-Cl 9.70922E-01 1.47290E 00 9 5.10198E-01 5.62897E-01 9.63459E-01 1.54058E 00 10 4.48817E-01 5.27583E-01 9.27884E-01 1.61027E 00 11 3.84547E-01 4.93682E-01 8.69533E-01 1.68199E 00 12 3.21375E-01 4.61168E-01 7.9446DE-01 1.75579E 00 13 2.62280E-01 4.3C014E-01 7.08814E-01 1.83170E 00 14 2.09234E-01 4.00192E-01 6.18344E-01 1.90974E 00 15 1.63291E-01 3.71677E-01 5.28008E-01 1.98995E 00 16 1.24756E-01 3.44441E-01 4.41748E-01 2.07236E 00 17 9.33662E-02 3.18458E-01 3.62410E-01 2.15702E 30 18 6.84824E-02 2.93702E-01 2.91775E-01 2.24394E 00 19 4.92530E-02 2.7C148E-01 2.30687E-01 2.33317E 00 20- 3.47482E-02 2.47769E-C1 1.79231E-01 2.42473E 00 21?.40567E-02 2.26541E-01 1.36926E-01 2.51867E 00 22 1.63487E-02 2.06438PE-J 1.32921F-01 2.61531E 00 23 1.09092E-02 1.87436E-01 7.61580E-02 2.71380E 00 24 7.14930E-03 1.69509E-01 5.55091E-02 2.81506E 00 25 4.60221E-03 1.52633E-01 3.98739E-02 2.91884E 00 26 2.91038E-03 1.36784E-01 2.82437E-02 3.02516E 00 27 1.83813E-03 1.21938E-01 1.97377E-02 3.13407E 00 28 1.10353E-03 1.08071E-01 1.36157E-02 3.24559E 00 29 6.61536E-04 9.51590E-02 9.27635E-03 3.35977E 00 30 3.89416E-04 8.31793E-02 6.24505E-03 3.47664E 00 31 2.24998F-04 7.21384E-02 4.15664E-03 3.59623E 00 32 1.27517E-04 6.19235E-02 2.73666E-03 3.71859E 00 33 7.08262E-05 5.26318E-02 1.79318E-03 3.84376E 00 34 3.85040E-05 4.41208E-022 1.15052E-03 3.97175E 00 35 2.04527E-05 3.64583E-02 7.35428E-04 4.10263E 00 36 1.05896E-05 2.95922E-02 4.65977E-04 4.23642E 00 37 5.32624E-06 2.3530PE-02 2.92817E-04 4.37315E 00 38 2.58986E-06 1.81623E-02 1.82587E-04 4.51288E 30 39 1.20880E-06 1.35554E-02 1.13336E-34 4.65564E 00 40 5.35693E-07 9.65897E-03 5.95150E-05 4.80145E 00 41 2.21453E-07 6.45208E-03 4.24912E-05 4.95338E 00 42 8.27755E-08 3.91398E-03 2.58301E-05 5.10244E 00 43 2.62777E-08 2.G2420E-03 1.56248E-05 5.25769E 00 44 6.05634E-09 7.62462E-04 9.41083E-06 5.41616E 00 45 5.26986E-10 1.08714E-34 5.64728E-05 5.57789E 03 46 1.27332E-10 4.31292E-05 3.37855E-05 5.74293E 00 47 9.80596E-10 5.46104E-04 2.01649E-05 5.91130E 00 48 1.74412E-09 1.59825E-03 1.20157E-05 6.08305E 00 49 2.10900E-09 3.18341E-03 7.15348E-07 6.25823E 00 50 2.12617E-09 5.27365E-03 4.25843E-07 6.43687E 00 SUM S{J) FOR R = 7.19980186E 30 SUM S(J) FOR P = 1.27383873E 01 37

WILLOW RUN LABORATO-RIES STRENGTHS AND F FACTORS OF THE V = 0 TO V = 1 FRANSITIONS OF HF TEMPERATURE = 4000.3 DEG. K R BRANCH P BRANCH J S(J) F(J) S(J) F(J) 0C 1.12871E-01 9.48990E-01 1 2.13770E-01 8.9968OE-01 1.19779E-01 1.C5274E 00 2 2.98661E-01 8.52341E-01 2.407565-01 1.10724E 30 3 3.6410E-(01 8.06342E-01 3.57038E-01 1.16353E 00 4 4.10900E-01 7.61656E-01 4.63636E-01 1.22164E 00 5 4.37018F-01 7.18852E-01 5.53916E-01 1.28160E 00 6 4.44495E-01 6.776C3E-01 6.25961E-01 1. 4344E O0' 7 4.35652E-01 6.37879E-01 6.76823E-G1 1.40720E 00 8 4.13487E-01 5.99654[E-1 7.05619E-01 1.47290E 00 9 3.81337E-C1 5.62897E-~ 1 7.12876F-01 1.9405SE 00 1C 3.42569F-01 5.27583E-1l 7.30369E-01 1.61027E 00 11 3.C0318E-01 4.93682E-01 6.70839E-01 1.68199E 00 12 2.57295[-01 4.61168E-01 6.27679E-01 1.75579E 00 13 2.15671E-01 4.30014E-01 5.74584E-01 1.83170E 00 14 1.77040E-01 4.00192E-C1 5.15247E-01 1.90974[ 00 15 1.42432E-01 3.71677E-01 4.53089E-01 1.98995E 0C 16 1.12379E-01 3.44441F-01 3.91069E-01 2.07236E 00 17 8.70065E-02 3.18458E-01 3.31571F-01 2.1572E[ 30 lb 6.61334E-02 2.9372E —01 2.76355[-01 2.24394E 20 19 4.93717E-02 2.7C148E-G1 2.26575[-01 2.33317[ 00 2 3 3.62148E-02 2.47769E-01 1.82843E-01 2.42473E OC 21 2.61086E-02 2.26541F-01 1.45318E-01 2.51867E 00 22 1.85050E-02 2.06438E-01 1.13808F-01 2.61501E 30 23 1.28973E-02 1.87436E-C1 8.78757E-02 2.71380 300 24 8.84077E-03 1.695C9E-01 6.69311E-02 2.81506E 00 25 5.95093E-03 1.52633E-01 5.33115E-02 2.91884E 00 26 3.95361E-03 1.36784E-91 3.73420E-02 3.02516E 00 27 2.57943E-03 1.21938E-01 2.73796E-02 3.13407E 00 26 1.65523E-03 1.08071E-01 1.98409E-02 3.24559E 00 29 1.04450E-03 9.5159CE-02 1.42168E-02 3.35977E 00 30 6.47930E-34 8.31793E-02 1.00774E-02 3.47664E 00 31 3.94916E-04 7.21084E-32 7.06971E-03 3.59623E 00 32 2.36338E-04 6.19235E-02 4.91091E-03 3.71859E 0O 33 1.38739E-04 5.26018E-02 3.37932E-03 3.84376E 03 34 7.97845E-05 4.41208E-02 2.3046?E-03 3.97175E 00 35 4.48658E-05 3.64583E-02 1.55839E-03 4.10263E 00 36 2.46100E-05 2.95922E-32 1.04533E-03 4.23642E 03 37 1.31222E-05 2.35039E-02 6.95884E-04 4.37315E 3D 38 6.76818E-06 1.81623E-02 4.59970E-04 4.51288E 30 39 3.35261E-06 1.35554E-32 3.02023E-04 4.65564E 00 43 1.57751E-06 9.65897E-33 1.97090F-04 4.801450 30 41 6.92672E-07 6.452C8E-03 1.27888E-04 4.95038E 30 42 2.75083E-07 3.91398E-03 8.25553F-05 5.10244E 00 43 9.28021E-08 2.02420E-03 5.30437E-05 5.25769E 00 44 2.27325E-08 7.62462E-04 3.39410E-05 5.41616E 00 45 2.10244E-09 1.08714E-04 2.16399E-05 5.57789E 00 46 5.39924F-10 4.31292E-05 1.37554F-05 5.74293E O0 47 4.41872E-09 5.46104E-04 8.72229E-06 5.91130E 00 48 8.35019E-09 1.59825E-03 5.52083E-06 6.08305E 00 49 1.07243E-08 3.18041E-03 3.49342E-05 6.25823E OO 5' 1.14781E-08 5.27365E-03 2.20577E-05 6.43687E 00 SUM S(J) FOR R = 5.38256842E 00 SUM S(J) FOR P = 1.G0013971E 01 38

WILLOW RUN LABORATORIES STRENGTHS AND F FACTORS OF THE V = 0 TO V = 1 TRANSITIONS OF HF TEMPERATURE = 4500.0 DEG. K R BRANCH P BRANCH J S(J) F(J) S(J) F(J) 0 7.90126C-02 9.48990E-01 1 1.49955E-01 8.99680E-01 8.39081E-02 1.05274E 00 2 2.10281E-01 8.52041E-01 1.69126E-01 1.10724E 00 3 2.58223E-01 8.06042E-01 2.51919E-01 1.16353E 00 4 2.92866E-01 7.61656E-01 3.28681E-01 1.22164E 00 5 3.1414QE-01 7.18852E-01 3.96197E-01 1.28160E 00 6 3.2277-E-01 6.77603E-01 4.51872E-01 1.34344E 00 7 3.20070E-01 6.37879E-01 4.93891E-01 1.40720E 00 8 3.07839E-01 5.99654E-01 5.21307E-01 1.47290E 00 9 2.88138E-01 5.62897E-rl 5.34348E-01 1.54058E 00 10 2.63109F-01 5.27583E-n1 5.32846E-01 1.61027E 00 11 2.34811E-01 4.93682E-31 5.19111E-01 1.68199E 00 12 2.05100E-01 4.61168E-01 4.94761E-01 1.75579E OC 13 1.75534E-01 4.30014E-01 4.62026E-01 1.83170E 00 14 1.47333E-01 4.00192E-1l 4.23266E-01 1.93974E 00 15 1.21370E-01 3.71677E-01 3.80787E-01 1.98995E 00 16 9.81899E-02 3.44441E-01 3.36712E-01 2.07236E 00 17 7.80550E-02 3.18458E-01 2.92875E-01 2.157J2E 00 18 6.09976E-02 2.93702E-01 2,50756E-01 2.24394E 00 19 4.68785C-02 2.70148E-01 2.11466E-01 2.33317E 00 2C 3.54432E-02 2.47769E-01 1.75753E-01 2.42473E 00 21 2.63701E-02 2.26541E-01 1.44037E-01 2.51867E 00 22 1.93115E-02 2.06438E-01 1.16461E-01 2.61501E 00 23 1.39227E-02 1.87436E-01 9.29461E-02 2.71380E 00 24 9.88317E-03 1.69509E-01 7.32545E-02 2.81536E 00 25 6.90821E-03 1.52633E-01 5.70411E-02 2.91884E 00 26 4.75485E-03 1.36784E-01 4.39021E-02 3.02516E 00 27 3.22246E-03 1.21938E-01 3.34131E-02 3,13407E 00 28 2.15007E-03 1.08071E-01 2.51576E-02 3.24559E 00 29 1.41197E-03 9.51590E-02 1.87467E-02 3.35977E 00 30 9.12299E-04 8.31793E-02 1.38314E-02 3.47664E 00 31 5.79638E-04 7.21084E-02 1.01082E-02 3.59623E 00 32 3.61877E-04 6.19235E-02 7.32028E-03 3,71859E 00 33 2.21772E-04 5.26018E-02 5.25539E-03 3.84376E 00 34 1.33229E-04 4.41208E-02 3.74182E-03 3.97175E 00 35 7.83132E-05 3.64583E-02 2.64327E-03 4.1C263E 00 36 4.49277E-05 2.95922E-02 1.85335E-03 4.23642E 00 37 2.50676E-05 2.35008E-02 1.29036E-03 4.37315E 00 38 1.35356E-05 1.81623E-02 8.92448E-04 4.51288E 00 39 7.02206E-06 1.35554E-02 6.13417E-04 4.65564E 00 40 3.46162E-06 9.65897E-03 4.19192E-04 4.80145E 00 41 1.59288[-06 6.45208E-03 2.84933E-04 4.95038E 00 42 6.63080E-07 3.91398E-03 1.92725E-04 5.10244E 00 43 2.34520E-07 2.02420E-03 1.29776F-04 5.25769E 00 44 6.02327E-08 7.62462E-04 8.70386E-05 5.41616E 00 45 5.84099E-09 1.08714E-04 5.81705E-05 5.57789E 00 46 1.57275E-09 4.31292E-05 3.87600E-05 5.74293E 00 47 1.34940E-08 5.46104E-04 2.57622E-05 5.91130E 00 48 2.67289E-08 1.59825E-03 1.70900E-05 6.08305E 00 49 3.59734E-08 3.18041E-03 1.13217E-05 6.25823E 00 50 4.03335E-08 5.27365E-03 7.49496E-06 6.43687E 00 SUM S(J) FOR R = 4.10044348E 00 SUM S(J) FOR P = 7.96508741E 00 39

WILLOW RUN LABORATORIES STRENGTHS AND F FACTORS OF THE V = 0 TO V = 1 TRANSITIONS OF HF TEMPERATURE = 5000.0 DEG. K R BRANCH P BRANCH J S(J) F(J) S(J) F(J) S0 5.68247E-02 9.48990E-0i 1 1.08028E-01 8.99680E-01 6.03768E-02 1.05274E 00 2 1.51939E-01 8.52041E-C1 1.21965E-O1 1.10724E 00 3 1.87378E-01 8.06042E-01 1.82307E-01 1.16353E 00 4 2.13701E-01 7.61656E-C1 2.38997E-01 1.22164E 00 5 2.30803E-01 7.18852E-01 2.89844E-01 1.2816CE 00 (. 2.39069E-01 6.77603E-01 3.33009F-01 1.34344E 00 7 2.39301E-01 6.37879E-01 3.67120E-01 1.4072CE 00 8 2.32615E-01 5.99654E-01 3.91338E-01 1.4729CE 01 9 2.20326E-01 5.62897E-01 4.35376E-01 1.54058E 09 1C?.03836E-01 5.27583E-01 4.09481E-01 1.61027E 00 11 1.84532E-01 4.93682E-01 4.04364E-01 1.68199E 00 12 1.63697E-01 4.61168E-C1 3.91117E-01 1.75579E 00 13 1.42453E-01 4.30014E-01 3.71398E-01 1.83170E 00 14 1.21714E-01 4.00192E-01 3.45818E-01 1.90974~ 00 15 1.02182E-01 3.71677E-01 3.16828E-01 1.98995E 00 16 8.43403E-02 3.44441E-01 2.85623E-01 2.07236E 00 17 6.84770E-02 3.18458E-01 2.53560E-01 2.15702E 00 18 5.47132E-02 2.93702E-01 2.21809E-01 2.24394E 00 19 4.30366E-02 2.70148E-01 1.91316E-01 2.33317E 00 20 3.33364E-02 2.47769E-01 1.62793E-01 2.42473E 03 21 2.54357E-02 2.26541E-01 1.36729E-01 2.51867E 00 22 1.91207E-02 2.06438E-01 1.13405E-01 2.61501E 0C 23 1.41635E-02 1.87436E-01 9.29302E-02 2.71390L 00 24 1.03391E-02 1.69509E-01 7.52700E-02 2.81506E 00 25 7.43815E-n3 1.52633E-01 6.02857F-02 2.91884E 00 26 5.27360E-03 1.36784E-01 4.77654E-02 3.02516E 00 27 3.68443E-03 1.21938E-01 3.74536E-02 3.13407E 00 28 2.53615E-03 1.08071E-01 2.90756E-02 3.24559E 00 29 1.71948E-03 9.51590E-02 2.23556E-02 3.35977E 00 30 1.14778E-03 8.31793E-02 1.70307E-02 3.47664E u0 31 7.53887E-04 7.21084E-02 1.28597E-02 3.59623E 00 32 4.86857E-04 6.19235E-02 9.62826E-03 3.71859E 00 33 3.08806E-04 5.26018E-02 7.15060E-03 3.84376E 00 34 1.92109E-04 4.41208E-02 5.26959E-03 3.97175E 00 35 1.16994E-04 3.64583E-02 3.85489E-03 4.10263E OC 36 6.95695E-05 2.95922E-02 2.80033E-03 4,23642E 00 37 4.02504E-05 2.35008E-02 2.02083E-03 4.37315E 00 38 2.25447E-05 1.81623E-02 1.44923E-03 4.51288E 00 39 1.21361E-05 1.35554E-02 1.33322E-03 4.65564E 00 40 6.20957E-06 9.65897E-03 7.32596E-04 4.80145E 00 41 2.96642E-06 6.452C8E-03 5.16797E-04 4.95038E 00 42 1.28221E-06 3.91398E-03 3.62853E-04 5.10244E O0 43 4.70949E-07 2.02420E-03 2.53672E-04 5.25769E 00 44 1.25621E-07 7.62462E-04 1.766558-04 5.41616E 00 45 1.26521E-08 1.08714E-04 1.22596E-04 5.57789E 00 46 3.53811E-09 4.31292E-05 8.48252E-05 5.74293E 0C 47 3.15247E-08 5.46104E-04 5.85423E-05 5.91130E 00 48 6.48376E-08 1.59825E-03 4.03209F-05 6.08305E 00 49 9.05884E-08 3.18041E-03 2.77289E-05 6.25823E 00 50 1.05411E-07 5.27365E-C3 1.90513E-05 6.43687E OC SUM S(J) FOR R = 3.17517525E 00 SUM S(J) FOR P = 6.42490089E 00 40

WILLOW RUN LABORATORIES STRENGTHS AND F FACTORS OF THE V = 1 TO V = 2 TRANSITIONS OF HF TEMPERATURE = 273.3 DEG. K R BRANCH P BRANCH J S(J) F(J) S(J) F(J) 0 7.10332E-08 9.50548E-01 1 1.10593E-07 9.02715E-01 6.24843E-08 1.05110E 00 2 1.04731E-07 8.56472E-01 8.56027E-08 1.10388E 00 3 7.15318E-08 8.11792E-01 7.13787E-08 1.15836E 00 4 3.71913E-08 7.68646E-01 4.29686E-08 1.21458t 00 5 1.5,881E-08 7.27006E-31 1.97161E-08 1.27257E 00 6 4.84298E-09 6.P6843E-01 7.07046E-09 1.33235E 00 7 1.24109E-09 6.48132E-01 2.01D05E-09 1.39396E 00 8 2.55607E-10 6.10844E-01 4.57263E-13 1.45743E 00 9 4.25330-11 5.74952E-01 8.38169E-11 1.52278E 00 llu 5.74449E-12 5.40429E-01 1.24493E-11 1.59005E 00 11 6.32370E-13 5.07250E-01 1.50569E-12 1.65927E 00 12 5.69663E-14 4.75386E-01 1.48955E-13 1.73347E 00 13 4.21593C-15 4.44812E-01 1.21055E-14 1.8-368E 00 14 2.57333E-16 4.15502E-01 8.11619E-15 1.87894E 00 15 1.30059E-17 3.87430E-01 4.50813E-17 1.95627E 00 16 5.46492E-19 3.60571E-01 2.08343E-18 2.03572E 00 17 1.91696E-20 3.34899E-01 8.04575E-23 2.11730E 00 18 5.63729E-22 3.1039GE-01 2.6J802E-21 2.20105E 00 19 1.39586E-23 2.87017E-01 7.12824E-23 2.28701E 00 20 2.92324E-25 2.64758E-01 1.65349E-24 2.37521E 00 21 5.23151E-27 2.43586E-01 3.2530E-25 2.46559E 0tC 22 7.93583E-29 2.23478E-01 5.48447E-28 2.55846E 00 23 1.02939E-30 2.04410E-01 7.94982E-30 2.65358E OC 24 1.15607E-32 1.86359E-01 9.95863E-32 2.75137E 00 25 1.12474E-34 1.69299E-01 1.08383E-33 2.85098E 00 26 9.52797E-37 1,53209E-01 1.03038E-35 2.95332E 00 27.00030E 00 1.38365E-01.00003E 03 3.05814E 00 28.:000 9E 00 1.23845E-01.C3003E 03 3.16547E 00 29.OO033 E 0l 1.10524E-01.*0003E 03 3.27535E 00 30'.300000 00 9.80823E-02.00000E 03 3.38781E 00 31.O3OOOE 00 8.64960E-02.0000E 03 3.5)289E 00 32.0000E 00 7.57435E-02.00000E 03 3.62062E 00 33.03)00E 00 6.580330-02.00003E 03 3.74105E 00 34.0)3OOE 03 5.66530E-02.00000E 03 3.86420E 00 35.OOOO0E 00 4.82721E-02.000303 03 3.99011E 00 36.00000E 00 4.06391E-02.00003E 0D 4.11882- 00 37.00OOE 0 3.37333E-02.00iOOE 03 4.25037E 00 38.OO000E 00 2.75338E-02.0000DE 03 4.38478E 00 39.00000E 00 2.20203E-02.00000E 03 4.52211E 00 4-.COCOE 00 1.71726E-02.00300E 33 4.66239E 00 41.OOO00E 00 1.29705E-02.COOO3E 00 4.80566E 00 42.00000E 00 9.39428E-03.000G3E 03 4.95194E 00 43.000E OC 6.42443E-03.00000E 0O 5.10129E 00 44.00000E 00 4.04156E-03.0000E 00 5.25374E 00 45.OOOOOE 00 2.22654E-03.0000DE 03 5.40933E 00 46.00000E 00 9.6C471E-04.OCo03E 03 5.56809E 00 47.00000E 00 2.24670E-04.00003E 03 5.73308E 00 4.000000E 00 6.74301E-07.00000E 00 5.89531E 00 49.00C00E C0 2.70242E-04.00000E 00 6.06385E 00 50.O000OE 00 1.01536E-03.00000E 03 6.23572E 00 SUM S(J) FOR R = 4.16557407E-07 SUM S(J) FOR P = 2.91786036E-07 41

WILLOW RUN LABORATO-RIES STRENGTHS AND F FACTORS OF THE V = 1 TO V = 2 TRANSITIONS OF HF TEMPERATURE = 373.3 DEG. K R BRANCH P BRANCH J S(J) F(J) S(J) F(J) 1.02544E-05 9.505S4-01 1 1.68814E-05 9.02715E-01 9.53785E-06 1.05110E 00 2 1.78728E-05 8.56472E-01 1.46084E-05 1.10388E 00 3 1.44276E-05 8.11792E-01 1.43967E-05 1.15836E 00 4 9.37060E-06 7.68646E-01 1.D8262E-05 1.2145PE 00 S 5.01790E-06 7.27006E-01 6.55704E-06 1.27257E 00 6 2.24565E-06 6.86843E-01 3.27852E-06 1.33235E 00 7 8.47182E-07 6.48132E-01 1.37208E-06 1.39396E 00 c 2.71072E-07 6.10844E-01 4.84927E-07 1.45743E 00 9 7.39146E-08 5.74952E-01 1.45658E-07 1.52278E 00 l1i 1.72441E-08 5.40429E-01 3.73708E-08 1.59C05E 03 11 3.45417E-09 5.07250E-01 8.22443E-09 1.65927E 00 12 5.96011E-10 4.75386E-01 1.55844E-09 1.73047E G0 13 8.88647E-11 4.44812E-01 2.55163E-10 1.80368C 003 14 1.14841E-11 4.15502E-01 3.62201E-11 1.87894E 00 15 1.29026E-12 3.8743CE-01 4.47228E-12 1.95627E 00 l) 1.26417E-13 3.60571E-01 4.81936E-13 2.03572E 00 17 1.53351F-14 3.34899E-01 4.54757E-14 2.11730E 00 1i 8.14947E-16 3.10390E-01 3.77020E-15 2.20105E 00 19 5.39635E-17 2.87017E-01 2.75572E-16 2.28701E 0U 2. 3.15631E-18 2.6475E8-01 1.78204E-17 2.37521C 0[' 21 1.63616E-19 2.43586E-1l 1.02322E-18 2.46569E 00 22 7.54282E-21 2.2347RE-01 5.23577E-20 2.55846E 00 23 3.10331E-22 2.04410E-01 2.39653E-21 2.65358E 00 24 1.14353E-23 1.86359E-01 9.85305E-23 2.75107E 0r 25 3.78768E-25 1.69299E-01 3.64966E-24 2.85098E 00 26 1.13138E-26 1.53209E-01 1.22394E-25 2.95332E 00 27 3.06295E-28 1.38065E-01 3.73025E-27 3.05814E 03 20 7.53393E-30 1.23845E-01 1.03752E-28 3.16547E 00 29 1.69077E-31 1.10524E-01 2.64470E-30 3.27535E 00 30 3.47512E-33 9.80823E-02 6.20531E-32 3.38781E 00 31 6.56618E-35 8.64960E-02 1.34609E-33 3.50289[ 00 32 1.14482E-36 7.57435E-02 2.71183E-35 3.62062E 00 33.0000E 00 6.58030E-02 5.09706E-37 3.74105E 00 34.00000E 00 5.66530E-02.00000E 03 3.86420E OC 35.OOOOOE 00 4.82721E-02.00000E 03 3.99011E 00 36.OOO00E 00 4.06391E-02.OCOOOE 00 4.11882E 00 37.00000 00 3.37333E-02.O0000E 03 4.25037E 00 38.00000E 00 2.75338E-02.OOOOOE 03 4.38478E 00 39.00000E 00 2.20203E-02.00003E 03 4.52211E 03 4C.0O000E 00 1.71726E-02.OOOOE 03 4.66239E 00 41.00000E 00 1.29705E-02.OOOOOE 00 4.80566E 00 42.00000E 00 9.39428E-03.OOOOOE 00 4.95194E 0O 43.0300E 00 6.42443E-03.0000E 00 5.10129E 00 44.OOOOOE 00 4.04156E-03.03000E 00 5.25374E 00 45.O0000E 00 2.22654E-03.00000E 00 5.40933E 00 46.000OE 00 9.60471c-04.0000E 00 5.56809E 00 47.0000E 00 2.24670E-04.00000E 00 5.73008E 00 48.03000E 00 6.74301E-07.00000E 00 5.89531E 00 49.00000E 00 2.7C242E-04.000DE 03 6.06385E 00 50.000OE 00 1.01536E-03.00000E OD 6.23572E 00 SUM S(J) FOR R = 7.728388907E-35 SUM S(J) FOR P = 6.12549067E-05 42

WILLOW RUN LABORATORIES STRENGTHS AND F FACTORS OF THE V = 1 TO V = 2 TRANSITIONS OF HF TEMPERATURE = 500.0 DEG. K R BRANCH P BRANCH J S(J) F(J) S(J) F(J) 2.75401E-04 9.5C548E-01 1 4.71247E-04 9.02715E-61 2.66249E-04 1.05110E 00 2 5.38986E-04 8.56472E-01 4.4054DE-04 1.10388E 00 3 4.83477E-04 8.11792E-01 4.87425E-04 1.15836E 00 4 3.73116E-04 7.68646E-01 4.27602E-04 1.21458E 30 5 2.40208E-04 7.27006E-01 3.13880E-04 1.27257E 00 6 1.35323E-04 6.86843E-01 1.97558E-04 1.33235E 00 7 6.67290E-05 6.48132E-01 1.08070E-04 1.39396E 00 8 2.896?8E-05 6.1C844E-01 5.18209E-05 1.45743E 00 9 1.11205E-05 5.74952E-01 2.19132E-05 1.52278E 00 10 3.78819E-06 5.40429E-01 8.20916E-06 1.59005E O0 11 1.14864E-06 5.07259E-01 2.73474E-05 1.65927E 00 12 3.10867E-07 4.75386E-01 8.12787E-07 1.73047E 00 13 7.52871E-08 4.44812E-01 2.16156E-07 1.80368E 00 14 1.63566E-08 4.15502E-01 5.15820E-08 1.R7894E 0O 15 3.19552E-09 3.87430E-01 1.10748E-08 1.95627E 02 16 5.62741E-10 3.60571E-01 2.1449BE-09 2.03572E 00 17 8.95443E-11 3.34899E-01 3.75755E-10 2.11730E 00 18 1.29058E-11 3.10390E-01 5.96929E-11 2.20105E 00 19 1.68892E-12 2.87017E-01 S.62247E-12 2.28701E 00 2: 2.01187E-13 2.64758E-01 1.13555E-12 2.37521E 03 21 2.18701E-14 2.43586E-01 1.36722E-13 2.46569E 00 22 2.17509E-15 2.23478E-01 1.50917E-14 2.55846E 0O 23 1.98432E-16 2.04410E-01 1.53162E-15 2.65358E 00 24 1.66494E-17 1.86359E-01 1.43328E-16 2.75107E 00 25 1.28824E-18 1.69299E-01 1.24042E-17 2.85098E 00 26 9.21671E-20 1.53209E-01 9.95808E-19 2.95332E 00 27 6.11383E-21 1.38065E-01 7.43847E-23 3.05814E 00 28 3.77042E-22 1.23845E-01 5.18628E-21 3.16547E 00 29 2.16763E-23 1.1C524E-01 3.38594E-22 3.27535E 00 30 1.16486E-24 9.80823E-02 2.07664E-23 3.38781E 00 31 5.86690E-26 8.6496CE-02 1.2K044E-24 3.50289E 00 32? 2.77670E-27 7.57435E-02 6.56258E-25 3.62062E 00 33 1.23803E-28 6.58030E-02 3.40452E-27 3.74105E 00 34 5.21269E-30 5.66530E-02 1.68188E-28 3.86420E CO 35 2.07724E-31 4.82721E-02 7.94033E-33 3.99011E OJ 36 7.84990E-33 4.06391E-02 3.59547E-31 4.11882E 00 37 2.81772E-34 3.37333E-02 1.56731E-32 4.25037E 00 38 9.61756E-36 2.75338E-02 6.60195E-34 4.38478E 00 39.000GE 00 2.20203E-02 2.69764E-35 4.52211E 00 40.OOOOOE 00 1.71726E-02 1.07351E-35 4.66239E 00 41.OOOOOE 00 1.29705E-02.00000E 03 4.80566E 00 42.00000E 00 9.39428E-03.00009E 00 4.95194E 00 43.00000E 00 6.42443E-03.OOOOEE 00 5.10129E 00 44.00000E 00 4.04156E-03.00000E 00 5.25374E 00 45.00000E 00 2.22654E-03.0000QE 00 5.40933E 00 46.0000E 00 9.60471E-04.0000DE 03 5.56809E 00 47.00OOOOE 00 2.2467CE-04.00009E 03 5.73008E 00 48.OO000OOOE 00 6.74301E-07.00000E 00 5.89531E 00 49.00000E 00 2.70242E-04.0OOO0E 03 6.06385E 00 50.0000OE 00 1.01536E-03.00003E 00 6.23572E 00 SUM S(J) FOR R = 2.63191965E-03 SUM S(J) FOR P = 2.32709441E-03 43

WILLOW RUN LABORATORIES STRENGTHS AND F FACTORS OF THE V = 1 TO V = 2 TRANSITIONS OF HF TEMPERATURE = 1000.0 DEG. K R BRANCH P BRANCH J S(J) F(J) S(J) F(J) 2.05514E-02 9.5C548E-01 1 3.72339E-02 9.02715E-01 2.10223E-02 1.05110E 00 4.77271E-02 8.56472E-01 3.89653E-02 1.10388E 00 3 5.13041E-02 8.11792E-01 5.11108E-02 1.15836E 00 4 4.87864E-02 7.68646E-01 5.62453E-02 1.21458E 00 5 4.20349E-02 7.27006E-01 5.47839E-02 1.27257E 00 6 3.32438E-02 6.86843E-01 4.83808E-02 1.33235E 00 7 2.43245E-02 6.48132E-01 3.92495E-02 1.39396E 00 8 1.65544E-02 6.10844E-01 2.94873E-02 1.45743E 00 9 1.05190E-02 5.74952E-01 2.06272E-02 1.52278E 00 10 6.25902E-03 5.40429E-01 1.34887E-02 1.59305E 00 11 3.49569E-03 5.07250E-01 8.270945-03 1.65927E 00 12 1.83622E-03 4.75386E-01 4.76747E-03 1.73347E 00 13 9.08753E-04 4.44812E-01 2.58882E-03 1.80368E 00 14 4.24417E-04 4.15502E-01 1.32686E-03 1.87894E OD 15 1.87331E-04 3.87430E-01 6.43012E-04 1.95627E 00 16 7.82553E-05 3.60571E-01 2.95120E-04 2.03572E 00 17 3.09811E-05 3.34899E-01 1.28484E-04 2.11730E 00 18 1.16397E-05 3.10390E-01 5.31419E-05 2.20105E 00 19 4.15541E-06 2.87017E-01 2.09131E-05 2.28701E 00 2'L 1.41150E-06 2.64758E-01 7.84238E-05 2.37521E 00 21 4.56779E-07 2.43586E-31 2.80655E-06 2.46569E 00 22 1.41008E-07 2.23478E-01 9.59948E-07 2.55846E 00 23 4.15771E-08 2.0441CE-01 3.14288E-07 2.65358E 00 24 1.17242E-08 1.R8359E-01 9.86454E-08 2.75107E 00 25 3.16582E-09 1.69299E-01 2.97279E-08 2.8509bE 00 26 8.19599E-10 1.53209E-01 8.61522E-09 2.95332E 00 27 2.03686E-10 1.38065E-01 2.40474E-09 3.05814E 00 28 4.86507E-11 1.23845E-f1 6.47536E-10 3.16547E 00 29 1.11812E-11 1.10524E-01 1.68483E-13 3.27535E 00 30 2.47538E-12 9.80823E-02 4.24284E-11 3.38781E 00 31 5.28447E-13 8.64960E-02 1.03583E-11 3.50289E 00 32 1.08888E-13 7.57435E-02 2.45573E-12 3.62062E 00 33 2.16742E-14 6.58030E-02 5.66344E-13 3.74105E 00 34 4.17041E-15 5.66530E-C2 1.27273E-13 3.86420E 00 35 7.76048E-16 4.82721E-02 2.79203E-14 3.99011E 00 36 1.39684E-16 4.06391E-02 5.98972E-15 4.11882E 00 37 2.43137E-17 3.37333E-02 1.25889E-15 4.25337E 00 38 4.08939E-18 2.75338E-C2 2.59702E-15 4.38478E 00 39 6.63535E-19 2.20203E-02 5.26854E-17 4.52211E 00 40 1.03570E-19 1.71726E-02 1.05312E-17 4.66239E 00 41 1.54779E-20 1.29705E-02 2.07825E-18 4.80566E 00 42 2.19722E-21 9.39428E-03 4.05734E-19 4.95194E 00 43 2.92368E-22 6.42443E-03 7.85279E-20 5.10129E 00 44 3.56056E-23 4.04156E-93 1.50998E-20 5.25374E 00 45 3.78663E-24 2.22654E-03 2.89119E-21 5.40933E 00 46 3.151810-25 9.60471E-04 5.52515E-22 5.56809E 00 47 1.42540E-26 2.24670E-04 1.05639E-22 5.73008E 00 48 8.30840E-30 6.74301E-07 2.02592E-23 5.89531E 00 49 6.51323E-28 2.70242E-04 3.90741E-24 6.06385E 00 5C 4.83434E-28 1.01536E-03 7.60038E-25 6.23572E 00 SUM S(J) FOR R = 3.45518103E-01 SUM S(J) FOR P = 3.91467696E-C1 44

WILLOW RUN LABORATORIES STRENGTHS AND F FACTORS OF THE V = 1 TO V = 2 TRANSITIONS OF HF TEMPERATURE = 1500.0 nEG. K R BRANCH P BRANCH J S(J) F(J) S(J) F(J) C 5.85477E-02 9.50548E-01 1 1.08180E-01 9.02715E-01 6.09426E-02 1.05110E 00 2 1.44120E-01 8.56472E-01 1.17224E-01 1.13388E 00 3 1.64078E-01 8.11792E-C1 1.62607E-01 1.15836E 00 4 1.68382E-01 7.68646E-01 1.92819E-01 1.21458E 00 5 1.59524E-01 7.27006E-01 2.06187E-01 1.27257E 30 6 1.41324E-01 6.86843E-01 2.03653E-01 1.33235E 00 7 1.17990E-01 6.48132E-01 1.8821OF-n1 1.39396E 00 8 9.33146E-02 6.10844E-01 1.64345E-01 1.45743E 00 9 7.01630E-02 5.74952E-C1 1.35558E-01 1.52278E 00 10 5.02925E-02 5.40429E-01 1.0660DE-01 1.59005E 00 11 3.44401E-02 5.07250E-01 8.00014E-02 1.65927E 00 12 2.25711E-02 4.75386E-01 5.74274E-02 1.73047E 00 13 1.41781E-02 4.44812E-01 3.95037E-02 1.80368E 00 14 9.54730E-03 4.15502E-01 2.60829E-32 1,.7894E 00 15 4.95104E-03 3.87430E-01 1.65538E-02 1.95627E 00 16 2.75863E-03 3.60571E-01 1.01119E-02 2.03572E 00 17 1.480l1E-03 3.34899E-01 5.95243E-03 2.11730E 00 18 7.65301E-04 3.1C39CE-01 3.38357E-03 2.20135E 00 19 3.81768E-04 2.87017E-01 1.85443E-33 2.28701E 00 2C 1.83891E-04 2.64758E-31 9.83627F-04 2.37521E 00 21 8.56051E-05 2.43586E-01 5.05335E-04 2.46569E 30 22 3.85466E-05 2.23478E-01 2.51274E-04 2.55846E 00 23 1.68C29E-05 2.04410E-01 1.21275E-04 2.65358E 00 24 7.09660E-06 1.86359E-01 5.68405E-05 2.751u7E 00 25 2.93621E-06 1.69299E-01 2.53982E-05 2.85098E 00 26 1.15491E-06 1.53209E-01 1.14834E-05 2.95332E 00 27 4.45686E-07 1.38365E-01 4.96063E-06 3.05814E 00 28 1.67137E-07 1.23845E-01 2.08991E-05 3.16547E 00 29 6.09480E-08 1.10524E-01 8.59670E-07 3.27535E 00 30 2.16241E-08 9.P9023E-02 3.45640E-07 3.38781E 00 31 7.46839E-09 8.6496EE-02 1.35985E-07 3.50289E 00 32 2.51187E-09 7.57435E-02 5.24110E-08 3.62062E 00 33 8.22934E-10 6.58330E-02 1.98115E-08 3.74105E 00 34?.62646E-10 5.6653rE-02 7.35319E-09 3.86423E 30 35 8.16502E-11 4.82721C-32 2.68293E-09 3.99011E O0 36 2.47135E-11 4.06391E-02 9.63462E-13 4.11882E 00 37 7.27668E-12 3.37333E-02 3.40939E-13 4.25037E 00 38 2.08128E-12 2.75338E-02 1.19034E-13 4.38478E 00 39 5.76956E-13 2.2G203E-02 4.10543E-11 4.52211E 00 40 1.54470E-13 1.71726E-02 1.40056E-11 4.66239E 00 41 3.97262E-14 1.29705E-02 4.73222E-12 4.80566E 00 42 9.72999E-15 9.39428E-03 1.58575E-12 4.95194E 00 43 2.23790E-15 6.42443E-03 5.27728E-13 5.10129E 00 44 4.71596E-16 4.04156E-03 1.74668E-13 5.25374E 00 45 8.68105E-17 2.22654E-33 5.75818E-14 5.40933E 00 46 1.25C03E-17 9.60471E-04 1.89362E-14 5.56809E 00 47 9.76640E-19 2.2467CE-04 6.22196E-15 5.73008E 00 48 9.81226E-22 6.74301E-07 2.04606E-15 5.89531E 02 49 1.32162E-19 2.70242E-04 6.74572E-15 6.06385E 00 50 1.67836E-19 1.01536E-03 2.23388E-15 6.23572E 03 SUM S(J) FOR R = 1.36632474E 30 SUM S(J) FOR P = 1.78067538E 00 45

WILLOW RUN LABORATORIES STRENGTHS AND F FACTORS OF THE V = 1 TO V = 2 TRANSITIONS OF HF TEMPERATURE = 2000.0 DEG. K R BRANCH P BRANCH J S(J) F(J) S(J) F(J) C, 7.85310E-02 9.50548E-01 1 1.46614E-01 9.02715E-01 8.23665E-02 1.05110E 00 2 1.99223E-01 8.56472E-01 1.61299E-01 1.10388E 00 3 2.33526E-01 8.11792E-01 2.29944E-01 1.15836E 00 4 2.49069E-01 7.68646E-01 2.82853E-01 1.21458E 00 5 2.47534E-01 7.270r6E-01 3.16697E-01 1.27257E 00 6 2.32184E-01 6.86843E-01 3.30564E-01 1.33235E 00 7 2.07139E-01 6.48132E-01 3.25825E-01 1.39396E 00 8 1.76654E-01 6.10844E-01 3.05650E-01 1.45743E 069 1.44530E-01 5.74952E-01 2.74292E-01 1.52278E 00 1i 1.13737E-01 5.4-r429E-01 2.36340E-Cl 1.59t005E OC0 11 8.62651E-02 5.0725CE-01 1.96D54E-C1 1.65927E 00 12 6.31634E-02 4.75386E-01 1.56911E-01 1.73G47E 00 13 4.47078E-02 4.44812E-01 1.21374E-01 1.0360E C' 14 3.06263E-02 4.15502E-01 9.08724E-02 1.87894E aO 15 2.03257E-02 3.87430E-01 6.59366E-02 1.95627 O00 16 1.30809E-02 3.60571E-01 4.64204E-02 2.03572E 00 17 8.17027E-03 3.34899E-01 3.17422E-02 2.11730E 00 18 4.95667E-03 3.1039CE-01 2.11027E-02 2.2310j5E OC0 19 2.92292E-03 2.87017E-01 1.36527E-02 2.28701E 00 20 1.67659E-03 2.64758E-01 8.60337E-03 2.37521E 00 21 9.36075E-04 2.43586E-01 5.28529E-03 2.46569E JO 22 5.09036E-04 2.23478E-01 3.16805E-03 2.55846E 00 23 2.69779E-04 2.04410E-01 1.85440E-03 2.65358E 00 24 1.39426E-04 1.86359E-01 1.06088E-03 2.75107E 00 25 7.03074E-05 1.69299E-01 5.93670E-04 2.P5098E 00 26 3.46102E-05 1.53209E-01 3.25237E-04 2.95332E 00 27 1.66404E-05 1.38965E-01 1.74579E-04 3.C5814E 00 28 7.81757E-06 1.23845E-01 9.18932E-05 3.16547E 00 29 3.58999E-06 1.10524E-01 4.74722E-05 3.27535E 00 30 1.61200E-06 9.80823E-02 2.408940-05 3.38781E CO 31 7.07917E-07 8.64960E-02 1.20174E-05 3.50289E 00 32 3.04088E-07 7.57435E-C2 5.89878E-06 3.62062E 00 33 1.27763E-07 6.5833?E-02 2.85141E-05 3.74135E 00 34 5.24951E-08 5.6653nE-02 1.35856E-05 3.86420E 00 35 2.10839E-08 4.82721E-02 6.38562E-07 3.990110 00 36 8.27137E-09 4.06391E —2 2.96359E-07 4.11882E 00 37 3.16590E-09 3.37333E-02 1.35931F-07 4.25037E 00 38 1.18018E-09 2.75338E-02 6.16741E-08 4.38478E 00 39 4.27367E-10 2.20203E-02 2.77061F-08 4.52211E 00 4G 1.49758E-10 1.71726E-02 1.23354E-08 4.66239E 00 41 5.04892E-11 1.29705E-02 5.44821E-09 4.80566E6 3 42 1.62312E-11 9.39428E-'3 2.38955E-09 4.95194E 30 43 4.90423E-12 6.42443E-03 1.04180E-09 5.10129E 00 44 1.35833E-12 4.04156E-03 4.51977E-13 5.25374E 00 45 3.28663E-13 2.22654E-03 1.95340E-10 5.40933E O0 46 6.21874E-14 9.60471E-04 8.41981E-11 5.56809E 00 47 6.37960E-15 2.24670E-04 3.62379E-11 5.73008E 048 8.40585E-18 6.74301E-07 1.55925E-11 5.89531E C0 49 1.48233E-15 2.70242E-04 6.71639E-12 6.06385E C 50 2.45928E-15 1.01536E-03 2.90003E-12 6.23572E 00 SUM S(J) FOR R = 2.30662638E 00 SUM S(J) FOR P = 3.31114858E O0 46

WILLOW RUN LABORATORIES STRENGTHS AND F FACTORS OF THE V = 1 TO V = 2 TRANSITIONS OF HF TEMPERATURE = 2500.0 DEG. K R BRANCH P BRANCH J S(J) F(J) S(J) F(J) 0 7.99852E-02 9.50548E-01 1 1.50304E-01 9.02715E-01 8.42210E-02 1.05110E 00 2 2.06733E-01 8.56472E-01 1.66658E-01 1.10388E 00 3 2.46676E-01 8.11792E-01 2.41425E-01 1.15836E 00 4 2.69318E-01 7.68646E-01 3.03474E-01 1.21458E 00 5 2.75522E-01 7.27006E-01 3.49159E-01 1.27257E 00 6 2.67508E-01 6.86843E-01 3.76580E-01 1.33235E 00 7 2.48392E-01 6.48132E-01 3.85652E-01 1.39396E 00 8 2.21687E-01 6.10844E-01 3.77928E-01 1.45743E 00 9 1.90934E-01 5.74952E-I1 3.56215E-01 1.52278E 00 13 1.58854E-01 5.40429E-01 3.24087E-01 1.59005E 00 11 1.28121E-01 5.07250E-01 2.85371E-01 1.65927E 00 12 1.00275E-01 4.75386E-01 2.43696E-01 1.73047E 00 13 7.62557E-02 4.44812E-01 2.02160E-01 1.80368E 00 14 5.64063E-02 4.15502E-01 1.63137E-01 1.87894E 00 15 4.06223E-02 3.87430E-01 1.28214E-01 1.95627E 00 16 2.85063E-02 3.60571E-01 9.82426E-02 2.03572E 00 17 1.95065E-02 3.34899E-01 7.34614E-02 2.11730E 00 18 1.30250E-02 3.10390E-01 5.36529E-02 2.20105E 00 19 8.49201E-03 2.87017E-01 3.83353E-02 2.28701E 00 206 5.40915E-03 2.64758E-01 2.67544E-02 2.37521E 00 21 3.36802E-03 2.43586E-01 1.82948E-02 2.46569E 00 22 2.05101E-03 2.23478E-01 1.22567E-02 2.55846E 00 23 1.22215E-03 2.04410E-01 8.05091E-03 2.65358E 00 24 7.12910E-04 1.86359E-01 5.18851E-03 2.75107E 00 25 4.07270E-04 1.69299E-01 3.28299E-03 2.85098E 00 26 2.27946E-04 1.53209E-01 2.04092E-03 2.95332E 00 27 1.25034E-04 1.38065E-01 1.24740E-03 3.05814E 00 28 6.72349E-05 1.23845E-01 7.50081E-04 3.16547E 00 29 3.54512E-05 1.10524E-01 4.44049E-04 3.27535E 00 30 1.83317E-05 9.80823E-02 2.58982E-04 3.38781E 00 31 9.29686E-06 8.64960E-02 1.48910E-04 3.50289E 00 32 4.62393E-06 7.57435E-02 8.44682E-05 3.62062E 00 33 2.25499E-06 6.58030E-02 4.73319E-05 3.74105E 00 34 1.07789E-06 5.66530E-C2 2.61688E-05 3.86420E 00 35 5.04706E-07 4.82721E-02 1.43125E-05 3.99011E 00 36 2.31277E-07 4.06391E-02 7.74436E-05 4.11882E 00 37 1.03579E-07 3.37333E-02 4.14863E-06 4.25037E 00 38 4.52496E-08 2.75338E-02 2.20186E-06 4.38478E 00 39 1.92284E-08 2.20203E-G2 1.15869E-06 4.52211E 00 40 7.91598E-09 1.71726E-02 6.05008E-07 4.66239E 00 41 3.13829E-39 1.29705E-02 3.13696E-07 4.80566E 00 42 1.18723E-09 9.39428E-03 1.61643E-07 4.95194E 00 43 4.22343E-10 6.42443E-03 8.28425E-08 5.10129E 00 44 1.37761E-10 4.04156E-03 4.22635E-08 5.25374E 00 45 3.92562E-11 2.22654E-03 2.14817E-08 5.40933E 00 46 8.74585E-12 9.60471E-04 1.08882E-08 5.56809E 00 47 1.05592E-12 2.24670E-04 5.50846E-09 5.73008E 00 48 1.63617E-15 6.74301E-07 2.78436E-09 5.89531E 00 49 3.38964E-13 2.70242E-04 1.40764E-09 6.06385E 00 50 6.59780E-13 1.01536E-03 7.12533E-10 6.23572E 00 SUM S(J) FOR R = 2.80068547E 00 SUM S(J) FOR P = 4.33054554E 00 47

WILLOW RUN LABORATORIES STRENGTHS AND F FACTORS OF THE V = 1 TO V = 2 TRANSITIONS OF HF TEMPERATURE = 3000.3 DEG. K R BRANCH P BRANCH J S(J) F(J) S(J) F(J) 7.21884E-02 9.50548E-01 1 1.36265E-01 9.02715E-01 7.61833E-02 1.0511CE 00 2 1.88977E-01 8.56472E-31 1.51776F-01 1.10388E 00 3 2.28212E-01 8.11792E-01 2.22188E-01 1.15836E 00 4 2.53109E-01 7.68646E-01 2.83296E-01 1.2145eE 00 5 2.64n22E-01 7.27306E-01 3.31844F-01 1.27257E 00 6 2.62339E-C1 6.86843E-01 3.65730E-01 1.33235E 00 7 2.50206E-01 6.48132E-1 - 3.84132r-01 1.39396E 00 8 2.302008E-01 6.1G844E-01 3.8748DE-01 1.45743E 30 9 2.05016E-01 5.74952E-31 3.77282F-01 1.52278E 00 1i 1.77190CE-C1 5.40429E-01 3.5585?r-01 1.5900C 5E 00 11 1.48897E-01 5.07250E-01 3.25981E-01 1.65927E 00 12 1.21839E-01 4.75386E-01 2.90605E-01 1.73047E C0 13 9.72010E-02 4.44812E-01 2.525228-01 1.80368E 00 14 7.56798E-02 4.15502E-01 2.14169r-01 1.87894E 00 15 5.75566E-02 3.87432E-01 1.77485E-01 1.95627E 00 16 4.27902E-02 3.60571E-01 1.43862E-01 2.03572E 00 17 3.11189E-02 3.34899E —1 1.14154E-01 2.11730E 00 18 2.21511E-02 3.10390E-01 8.87445E-02 2.20105E 00 19 1.54419E-02 2.87017E-01 6.76436E-02 2.28701E GO 20 1.05477E-02 2.64758E-01 5.05883E-02 2.37521E 00 21 7.06275F-03 2.43586E-01 3.71452r-02 2.46569E 00 22 4.63801E-03 2.23478E-01 2.67955E-02 2.55846E 00 23 2.98816E-03 2.04410E-01 1.90021E-02 2.65358E 00 24 1.88951E-03 1.86359E-)1 1.32553E-02 2.7510 7E ~0 25 1.17301E-03 1.69299E —1 9.10382E-03 2.85098E 00 26 7.15139E-04 1.532C9E-01 6.15379E-03 2.95332E 00 27 4.28268E-04 1.38j365E-01 4.1C26E-03 3.C5814E 00 28 2.51974E-04 1.23Q45E-01 2.69375E-03 3.16547E OC 29 1.45668E-04 1.10524E-01 1.74594E-03 3.27535E 00 30 8.27485E-05 9.80823E-02 1.11706E-03 3.38781E 00 31 4.61875E-05 8.64960E-02 7.05915E-04 3.50289E 00 32 2.53272E-05 7.57435E- 2 4.4C868E-04 3.62062E J. 33 1.36400E-05 6.5803CE-02 2.72270E-04 3.741-05E 900 34 7.21105E-06 5.66530E-02 1.66371E-04 3.86420E 00 35 3.73955E-06 4.82721E-C2 1.00646E-04 3.99011E 00 36 1.90031E-06 4.06391E-02 6.03143E-05 4.11882E 00 37 9.44871E-07 3.37333E-02 3.58267E-05 4.25037E 00 38 4.58737E-07 2.75338E-02 2.11065E-05 4.38478E 0C 39 2.16835E-07 2.20203E-02 1.23402E-05 4.52211E OC 40 9.93689E-08 1.71726E-02 7.16457E-05 4.66239E 00 41 4.38800E-08 1.29705E-02 4.13334E-06 4.80566E 60 42 1.84987E-08 9.39428E-03 2.37104E-06 4.95194E CO 43 7.33574E-09 6.42443E-0'3 1.35329E-05 5.10129E 00 44 2.66776E-09 4.04156E-03 7.69064E-07 5.25374E 30 45 8.47577E-10 2.22654E-03 4.35472E-07 5.40933E 00 46 2.10501E-10 9.60471E-04 2.45871E-07 5.56809E 00 47 2.83216E-11 2.24670E-04 1.38529E-07 5.73008E 00 48 4.88801E-14 6.74301E-07 7.79497E-08 5.89531E 03 49 1.12712E-11 2.70242E-04 4.38433E-08 6.C6385E 00 50 2.43969E-11 1.01536E-03 2.46718E-08 6.23572E 00 SUM S(J) FOR R = 2.91042298E 00 SUM S(J) FOR P = 4.78445721E 30 48

WILLOW RUN LABORATORIES STRENGTHS AND F FACTORS OF THE V = 1 TO V = 2 TRANSITIONS OF HF TEMPERATURE = 3500.0 DEG. K R BRANCH P BRANCH J S(J) F(J) S(J) F{J) 0 6.15112E-02 9.50548E-01 1 1.16495E-01 9.02715E-01 6.50073E-02 1.05110E 00 2 1.62531E-01 8.56472E-01 1.30124E-01 1.10388E 00 3 1.97981E-01 8.11792E-01 1.91905E-01 1.15836E 00 4 2.22078E-01 7.68646E-01 2.47158E-01 1.21458E 00 5 2.34911E-01 7.27006E-01 2.93214E-01 1.27257E 00 6 2.37319E-01 6.86843E-01 3.28149E-01 1.33235E 00 7 2.30730E-01 6.48132E-01 3.50899E-01 1.39396E 00 8 2.16957E-01 6.10844E-01 3.61299E-01 1.45743E 00 9 1.97984E-01 5.74952E-01 3.60008E-01 1.52278E 00 10 1.75773E-01 5.40429E-01 3.48373E-01 1.59005E 30 11 1.52109E-01 5.07250E-01 3.28231E-01 1.65927E 00 12 1.28493E-01 4.75386E-01 3.01703E-01 1.73047E 00 13 1.06081E-01 4.44812E-01 2.70962E-01 1.80368E 00 14 8.56759E-02 4.15502E-01 2.38088E-01 1.87894E 00 15 6.77483E-02 3.87430E-01 2.34896E-01 1.95627E 00 16 5.24890E-02 3.60571E-01 1.72864E-01 2.03572E 00 17 3.98694E-02 3.34899E-01 1,43090E-01 2.11730E 00 18 2.97067E-02 3.10390E-01 1.16299E-01 2.20105E 00 19 2.17234E-02 2.87017E-01 9.28764E-02 2.28701E 00 20 1.55976E-02 2.64758E-01 7.29253E-02 2.37521E 00 21 1.10007E-02 2.43586E-01 5.63327E-02 2.46569E 00 22 7.62388E-03 2.23478E-01 4.28355E-02 2.55846E 00 23 5.19361E-03 2.04410E-01 3.20815E-02 2.65358E 00 24 3.47878E-03 1.86359E-01 2.36783E-32 2.75107E 00 25 2.29171E-03 1.69299E-01 1.72314E-02 2.85098E 00 26 1.48512E-03 1.53209E-01 1.23708E-02 2.95332E 00 27 9.46898E-04 1.3e865E-01 8.76603E-03 3.05814E 00 28 5.94063E-04 1.23845E-01 6.13422E-03 3.16547E 00 29 3.66750E-04 1.10524E-01 4.24119E-03 3.27535E 00 30 2.22794E-04 9.80823E-02 2.89873E-03 3.38781E 00 31 1.33161E-04 8.64960E-02 1.95946E-03 3.50289E 00 32 7.82865E-05 7.57435E-02 1.31068E-03 3.62062E 00 33 4.52550E-05 6.58030E-02 8.67963E-04 3.74135E 00 34 2.57079E-05 5.66530E-02 5.69340E-04 3.86420E 00 35 1.43395E-05 4.82721E-02 3.70108E-04 3.99011E 00 36 7.84474E-06 4.06391E-02 2.38556E-04 4.11882E 00 37 4.20261E-06 3.37333E-02 1,52540E-04 4.25037E 00 38 2.19997E-06 2.75338E-02 9.68124E-05 4.38478E 00 39 1.12192E-06 2.20203E-02 6.10184E-05 4.52211E 00 40 5.54998E-07 1.71726E-02 3.82124E-05 4.66239E 00 41 2.64670E-07 1.29705E-02 2.37901E-05 4.80566E 00 42 1.20537E-07 9.39428E-03 1.47326E-05 4.95194E 00 43 5.16487E-08 6.42443E-03 9.08027E-05 5.10129E 00 44 2.02979E-08 4.04156E-03 5.57326E-05 5.25374E 00 45 6.96900E-09 2.22654E-03 3.40859E-06 5.40933E 00 46 1.87017E-09 9.60471E-04 2.07858E-06 5.56809E 00 47 2.71817E-10 2.24670E-04 1.26466E-06 5.73008E 00 48 5.06595E-13 6.74301E-07 7.68231E-07 5.89531E 00 49 1.26081E-10 2.70242E-04 4.66277E-07 6.06385E 00 50 2.94364E-10 1.01536E-03 2.82986E-07 6.23572E 00 SUM S(J) FOR R = 2.78728005E 30 SUM S(J) FOR P = 4.83036345E 00 49

WILLOW RUN LABORATORIES STRENGTHS AND F FACTORS OF THE V = 1 TO V = 2 TRANSITIONS OF HF TEMPERATURE = 4000.3 DEG. K R BRANCH P BRANCH J S(J) F(J) S(J) F(J) C. 5.098 —0E-02 9.50548E-01 1 9.67960E-02 9.02715E-01 5.39286E-02 1.05110E 00 2 1.35662E-01 8.56472E-01 1.08324E-01 1.10388E 00 3 1.66337E-01 8.11792E-01 1.63634E-01 1.15836E 00 4 1.88182E-01 7.68646E-01 2.08435E-01 1.21458E 00 5 2.01160E-01 7.27006E-01 2.49627E-01 1.27257E 00 6 2.05776E-01 6.86843E-01 2.82579E-01 1.33235E 00 7 2.02974E-01 6.48132E-01 3.06244E-01 1.39396E G0 8 1.94009E-01 6.1C844E-01 3.20193E-01 1.45743E 00 9 1.80311E-01 5.74952E-01 3.24597E-01 1.52278E 00 10 1.63347E-01 5.40429E-01 3.2G177E-01 1.59005E 00 11 1.44509E-01 5.07250E-01 3.08374E-01 1.65;927E 00 12 1.25026E-01 4.75386E-01 2.89721E-01 1.73247E 00 13 1.05907E-01 4.44812E-01 2.66707E-01 1.80368E 00 14 8.79199E-02 4.15502E-01 2.40636E-01 1.87894E 00 15 7.15860E-02 3.87430E-01 2.13218E-01 1.95627E 00 16 5.72062E-02 3.60571E-01 1.85180E-01 2.03572E 00 17 4.48940E-02 3.34899E-01 1.58212E-01 2.1173GE 00 18 3.46169E-02 3.10390E-01 1.32941E-01 2.20105E 00 19 2.62386E-02 2.87317E-01 1.09936E-01 2.28701E 00 2C 1.95580E-02 2.64758E-01 8.95249F-02 2.37521E 00 21 1.43416E-02 2.43586E-01 7.18318E-02 2.46569E 00 22 1.03490E-02 2.23478E-01 5.68189E-02 2.55846E CC 23 7.35108E-03 2.04410E-01 4.43298E-02 2.65358E 00 24 5.14118E-03 1.86359E-01 3.41304E-02 2.75107E 00 25 3.54097E-03 1.69299E-01 2.59444E-02 2.85098E 00 26 2.40215E-03 1.53209E-01 1.94807E-02 2.95332E OC 27 1.60526E-03 1.38065E-01 1.44553E-02 3.05814 OC 28 1.05677E-03 1.23845E-01 1.06C51E-02 3.16547E 00 29 6.85332E-04 1.10524E-01 7.69587E-03 3.27535E 00 30 4.37796E-04 9.80823E-02 5.52655E-03 3.38781E 00 31 2.75430E-04 8.64960E-02 3.92914E-03 3.50289E 00 32 1. 7604E-04 7.57435E-02 2.76682E-03 3.62062E 00 33 1.03995E-04 6.58030E-02 1.93063E-03 3.74105E 00 34 6.23454E-05 5.66530E-02 1.33548E-03 3.86420E 00 35 3.67271E-05 4.82721E-02 9.16216E-04 3.99011E 00 36 2.12342E-05 4.06391E-02 6.23689F-04 4.11882E 00 37 1.20295E-05 3.37333E-02 4.21448E-04 4.25037C 00 38 6.66263E-06 2.75338E-02 2.8828E-04 4.38478E 00 39 3.59663E-06 2.20203E-02 1.88582F-04 4.52211E 00 40 1.88410E-06 1.71726E-02 1.24991E-04 4.66239E 00 41 9.51778E-07 1.29705E-02 8.23879E-05 4.80566E 00 42 4.59277E-07 9.39428E-03 5.40334E-05 4.95194E 03 43 2.08549E-07 6.42443E-03 3.52767E-05 5.10129E 00 44 8.68621E-08 4.04156E-03 2.29383E-05 5.25374E 00 45 3.16067E-08 2.22654E-03 1.48632E-05 5.40933E 00 46 8.98833E-09 9.60471E-04 9.60225E-06 5.56809E 00 47 1.38415E-09 2.24670E-04 6.18863E-06 5.73008E 00 48 2.73248F-12 6.74301E-07 3.98137E-06 5.89531E 00 49 7.20055E-10 2.70242E-04 2.55841E-06 6.06385E 00 50 1.77914E-09 1.01536E-03 1.64323E-05 6.23572E 00 SUM S(J) FOR R = 2.55060220E 00 SUM S(J) FOR P = 4.63225645E 00 50

WILLOW RUN LABORATORIES STRENGTHS AND F FACTORS OF THE V = 1 TO V = 2 TRANSITIONS OF HF TEMPERATURE = 4500.0 DEG. K R BRANCH P BRANCH J SIJ) F(J) S(J) F(J) 0 4.17253E-02 9.50548E-01 1 7.93835E-02 9.02715E-01 4.41678E-02 1.0511CE 00 2 1.11656E-01 8.56472E-01 8.89554E-02 1.10388E 00 3 1.37605E-01 8.11792E-01 1.32470E-01 1.15836E 00 4 1.56719E-01 7.68646E-01 1.72886E-01 1.21458E 00 5 1.68909E-01 7.27006E-01 2.08572E-01 1.27257E 00 6 1.74476E-01 6.86843E-01 2.38204E-01 1.33235E 00 7 1.74048E-01 6.48132E-01 2.60843E-01 1.39396E 00 8 1.68498E-01 6.10844E-01 2.75981E-01 1.45743E 00 9 1.58849E-01 5.74952E-01 2.83545E-01 1.52278E 00 10 1.46184E-01 5.40429E-01 2.83867E-01 1.59005E 00 11 1.31566E-01 5.07250E-01 2.77626E-01 1.65927E 00 12 1.15965E-01 4.75386E-01 2.65760E-01 1.73047E 00 13 1.00218E-01 4.44812E-01 2.4938DE-01 1.80368E 00 14 8.49967E-02 4.15502E-01 2.29674E-01 1.87894E 00 15 7.07989E-02 3.87430E-01 2.07818E-01 1.95627E 00 16 5.79566E-02 3.60571E-01 1.84909E-01 2.03572E 00 17 4.66525E-02 3.34899E-01 1.61908E-01 2.11730E 00 18 3.69448E-02 3.10390E-01 1.39608E-01 2.20105E 00 19 2.87955E-02 2.87017E-01 1.18620E-01 2.28701E 00 20 2.20978E-02 2.64758E-01 9.93696E-02 2.37521E 00 21 1.67022E-02 2.43586E-01 8.21171E-02 2.46569E 00 22 1.24371E-02 2.23478E-C1 6.69753E-02 2.55846E 00 23 9.12628E-03 2.04410E-31 5.39393E-02 2.65358E 00 24 6.60068E-03 1.86359E-01 4.29148E-02 2.75107E 00 25 4.70626E-03 1.69299E-01 3.37454E-02 2.85098E 00 26 3.30832E-03 1.53209E-01 2.62369E-02 2.95332E 00 27 2.29305E-03 1.38065E-01 2.01785E-02 3.05814E 00 28 1.56711E-03 1.23845E-01 1.53576E-02 3.16547E 00 29 1.05596E-03 1.10524E-01 1.15717E-02 3.27535E 00 30 7.01441E-04 9.80823E-02 8.63534E-03 3.38781E 00 31 4.59238E-04 8.64960E-02 6.38486E-03 3.50289E 00 32 2.96234E-04 7.57435E-02 4.67933E-03 3.62062E 00 33 1.88178E-04 6.58330E-02 3.40055E-03 3.741C5E 00 34 1.17637E-04 5.66530E-02 2.45143E-03 3.8642CE 00 35 7.23026E-05 4.82721E-02 1.75374E-03 3.99011E 00 36 4.36375E-05 4.06391E-02 1.24555E-03 4.11882E 00 37 2.58185E-05 3.37333E-02 8.78571E-04 4.25037E OG 38 1.49407E-05 2.75338E-02 6.15726E-04 4.38478E 00 39 8.42985E-06 2.2U203E-02 4.28912E-04 4.52211E 00 40 4.61700E-06 1.71726E-02 2.97096E-04 4.66239E 00 41 2.43910E-06 1.29705E-02 2.04716E-04 4.80566E 00 42 1.23109E-06 9.39428E-03 1.40385E-04 4.95194E 00 43 5.84787E-07 6.42443E-03 9.58483F-05 5.10129E 00 44 2.54813E-07 4.04156E-03 6.51841E-05 5.25374E 00 45 9.69997E-08 2.22654E-03 4.41765E-05 5.40933E 00 46 2.88562E-08 9.60471E-04 2.98498E-05 5.56809E 00 47 4.64783E-09 2.24670E-04 2.01191E-05 5.73008E 00 48 9.59470E-12 6.74301E-07 1.35339E-05 5.89531E 00 49 2.64314E-09 2.70242E-04 9.09142E-05 6.06385E 00 50 6.82463E-09 1.01536E-03 6.10224E-05 6.23572E 00 SUM S(J) FOR R = 2.27377838E 00 SUM S(J) FOR P = 4.30859900E 00 51

WILLOW RUN LABORATORIES STRENGTHS AND F FACTORS OF THE V = 1 TO V = 2 TRANSITIONS OF HF TEMPERATURE = 5000.3 DEG. K R BRANCH P BRANCH J S(J) F(J) SIJ) F(J) 0 3.40018E-02 9.50548E-01 1 6.47948E-02 9.02715E-01 3.6GG94E-02 1.05110E 00 2 9.13987E-02 8.56472E-01 7.26773E-02 1.10388E 00 3 1.13105-01 8.11792E-1 1.08593E-01 185931. 1836E C0 4 1.29508E-01 7.68646E-01 1.42376E-01 1.21458E 00 5 1.40504E-01 7.27006E-01 1.72768E-01 1.27257E 00 6 1.46272E-01 6.86843E-01 1.98713E-01 1.33235E 30 7 1.47237E-01 6.48132E-01 2.19402E-01 1.39396E 00 8 1.44007E-01 6.10844E-01 2.34344E-01 1.45743E 00 9 1.37319E-01 5.74952E-01 2.43349E-01 1.52278E 00 10 1.27972E-01 5.40429E-01 2.46529E-01 1.59305E 00 11 1.16770E-01 5.07250E-01 2.44266E-01 1.65927E 00 12 1.04468E-01 4.75386E-01 2.37162E-01 1.73347E 00 13 9.17405E-02 4.44812E-01 2.25974E-01 1.8)368E 00 14 7.91506E-02 4.15502E-01 2.11560E-01 1.87894E O0 15 6.71411E-02 3.87430E-01 1.94807E-01 1.95627E 00 16 5.60321E-02 3.60571E-01 1.76581E-01 2.03572E 00 17 4.60291E-02 3.34899E-01 1.57679E-01 2.11730E 00 18 3.72371E-02 3.10390E-01 1.38798E-01 2.20125E 00 19 2.96785E-02 2.87017E-01 1.20511E-01 2.28701E 00 20 2.33120E-02 2.64758E-01 1.03263E-01 2.37521E GO 21 1.80519E-02 2.43586E-01 8.73695E-02 2.46569E 00 22 1.37843E-02 2.23478E-01 7.30253E-02 2.55846E 00 23 1.03814E-02 2.04410E-01 6.03230E-02 2.65358E 00 24 7.71284E-03 1.86359E-01 4.92694E-02 2.75107E 00 25 5.65353E-03 1.69299E-01 3.98 48E-02 2.P5098E 00 26 4.38893E-03 1.53209E-01 3.18224E-02 2.95332E 00 27 2.91811E-03 1.38065E-91 2.51849E-02 3.05814E 00 28 2.05487E-03 1.23845E-01 1.97389E-02 3.16547E 00 29 1.42766E-03 1.1C524E-01 1.53266E-02 3.27535E 00 30 9.78460E-04 9.80823E-02 1.17943E-02 3.38781E 00 31 6.61347E-04 8.6496'E-02 8.99817E-03 3.50289E 00 32 4.4C671E-04 7.57435E-02 6.80856E-03 3.62062E 00 33 2.89314[-04 6.58330E-02 5.11128E-03 3.74105E 00 34 1.87016E-04 5.66530E-02 3.80832E-03 3.86420E 00 35 1.18912E-04 4.82721E-02 2.81722E-03 3.99011E 00 36 7.42755E-05 4.06391E-02 2.06989E-03 4.11882E 00 37 4.54982E-05 3.37333E-02 1.51101E-03 4.25337E 00 38 2.72683E-05 2.75338E-02 1.0 632F-03 4.38478E 00 39 1.59387E-05 2.20203E-02 7.93881E-04 4.52211E 00 40 9.04579E-06 1.71726E-02 5.67482E-04 4.66239E 00 41 4.95283E-06 1.29705E-02 4.05151E-04 4.80566E 00 42 2.59129E-06 9.39428E-03 2.87919E-04 4.95194E 30 43 1.27606E-06 6.42443E-03 2.03742E-04 5.10129E 00 44 5.76451E-07 4.04156E-03 1.43621E-04 5.25374E 30 45 2.27498E-07 2.22654E-03 1.03893E-04 5.40933E 00 46 7.01593E-08 9.60471E-04 7.06640F-05 5.56809E 00 47 1.17134E-08 2.24670E-04 4.93649E-05 5.73008E 00 48 2.53598E-11 6.74301E-07 3.44134E-05 5.89531E 00 49 7.15276E-09 2.70242E-04 2.39522E-05 6.06385E 00 50 1.91296E-08 l.C1536E-03 1.66534E-05 6.23572E 00 SUM S(J) FOR R = 1.99660890E 00 SUM S(J) FOR P = 3.93393272E 00 52

WILLOW RUN LABORATORIES STRENGTHS AND F FACTORS OF THE V = 0 TO V = 2 TRANSITIONS OF HF TEMPERATURE = 273.3 DEG. K R PRANCH P BRANCH J S(J) F(J) S(J) F(J) u 1.08057E 00 9.71008E-01 1 1.69328E 00 9.4G425E-01 9.11373E-1 1.02731L 03 2 1.59920E 00 9.08349E-01 1.29509E 00 1.05235E 03 3 1.07726E 00 8.74883E-01 9.60671E-01 1.07655E 0O 4 5.47264E-01 8.40 138E-01 5.47678E-01 1.0833E OC 5 2.14760E-C1 8.04232E-01 2.35769E-1 1.1114E OC 6 6.60?50E-02 7.67288E-01 7.85887F-02 1.1 35m-SE "0 7 1.60303E-02 7.29435E-01 2.05754E-02 1.151!70 00 tb 3.09636E-03 6.9C811E-C1 4.27119E-03 1.16510E 00 9 4.78123E-04 6.51558E-01 7.07945E-04 1.17645E 0; 1. 5.92835E-05 6.11826E-01 9.42266E-05 1.18559E C 11 5.92494E-06 5.71770E-01 1.01212E-05 1.19250E 00 12 4.79150E-07 5.31553E-01 8.81377E-07 1.19715E 00 13 3.14648E-08 4.91344E-C1 6.24985E-08 1.19953E 00 14 1.68370E-09 4.51319E-01 3.62432E-09 1.19964E 30 15 7.367C1E-11 4.11658E-'1l 1.72624E-13 1.197'+7E 00 16 2.64472E-12 3.72551E-1l 6.78235E-12 1.193-3E 0' 17 7.816 1E-14 3.34193E-01 2.20795E-13 1.18o33[C 0 16 1.90773E-15 2.96784E-j1 5.98258E-15 1.17739E o' 19 3.85759E-17 2.60532E-01 1.35548E-15 1.16624E On 20' 6.48065E-19 2.25653E- 1 2.58026E-18 1.152 91E OC 21 9.06751E-21 1.92366E-'1 4.14682E-20 1.13744E 00 22 1.05858E-22 1.6(898 -;.1 5.65476E-22 1.11988E 00 23 1.03210E-24 1.31484E- 1 6.57535E-24 1.10026E O? 24 8.39896E-27 1.04364E-01 6.55686E-25 1.07666E 00 25 5.68735E-29 7.97950E-02 5.63472E-2P 1.05514E 00 26 3.18138E-31 5.79992E-0 2 4.19648E-3D 1.02916E 00 27 1.44798E-33 3.92668E-02 2.72367E-32 1.00261E C00 28 5.19621E-36 2.38540E-u2 1.54935E-34 9.73774E-01 29.OOO0E 00 1.20333E-u2 7.7693DE-37 9.43335E-01 30.OO00E 00 4.08396E-03.O00nOE 00 9.11393E-01 31.00OOOE 00 2.91582E-04.~OOOOE 00 8.78052E-01 32.00OOO0E 0 9.48264E-04.00ODOE 00 8.43422E-01 33.00000E 00 6.35259E-03.OOOOOE 00 8.C7619E-01 34.00000E 00 1.68097E-02.r0000E 00 7.70766E-01 35.00000E 00 3.26310E-02.OO00000 0 7.32992E-01 36.00C00E 00 5.41347E-02.OOO0E 00 6.94433E-01 37.00000E 00 8.16452E-C2.000OE 00 6.55233E-01 38.00000E 00 1.15494E-31.00DQOE 00 6.15538E-01 39.0000E 00 1.56317E-01.00000E 00 5.75506E-01 40.OOO0E 00 2.03560E-01.00OOOE 00 5.35297E-01 41. 00000E 00 2.58473E-01.00000E O0 4.9508GE-01 42.OOOOOE 00 3.21113E-01.OO0000E O 4.55030C-01 43.00000E 00 3.91843E-U1.00003E CO 4.15328E-01 44.00000OOE 00 4.7133E-01.00000E 0 3.76161E-01 45.0000GE 00 5.59060E-01.0000OE OD 3.37724E-01 46.00000E 00 6.56305E-01.00000E 00 3.00219E-01 47.0000E 00 7.63160E-01.00000E 00 2.63850E-01 48.0000QE 00 8.80020E-01.00000E 00 2.28834E-01 49.00000E 00 1.00729E 00.00000E 0D 1.95389E-01 50.OOOOnE 00 1.14537E 00.O0000E C0 1.63743E-01 SUM S(J) FOR R = 6.29700780E 00 SUM S(J) FOR P = 3.964827 (9E 00 53

WILLOW RUN LABORATORIES STRENGTHS AND F FACTORS OF THE V = 0 TO V = 2 TRANSITIONS OF HF TEMPERATURE = 373.3 DEG. K R BRANCH P BRANCH J S(J) F(J) S(J) F(J) 5.84433r-01 9.710C E-0 1 1 9.7:)495E-01 9.44425E-01 5.22346E-01 1.02731E u2 2 1. 2855E 00 9.' 8349E-0r 7.75555F-01 1.' 5235E O 3 8.24761E-01 8.74883E-01 7.35502E-01 l.Co7bbE 02 4 5.27978E-01 8.42 138E-01 5.28378F-01 1.C9b33F O0 5 2.76473E-01 8.04232E-01 3.03519E-01 1.11814E 00 6 1.22025E-01 7.67288E-01 1.42937E-01 1.13590E 00 7 4.35672E-02 7.29435E-01 5.59201E-02 1.15157E 00 8 1.33019E-02 6.90811E-01 1.83489E-02 1.16510E 00 9 3.43175E-03 6.51558E-01 5.0E130F-03 1.17645E 00 1l; 7.53937E-04 6. 11826E-01 1.19362E-03 1.18559E O0 11 1.39827E-04 5.7177' -01 2.38857E-04 1.1925C E'0 12 2.22212E-05 5.31553E-01 4.r0750E-05 1.19715E 00 13 3.02224E-06 4.91344E-01 b6. 3039E-05 1.199,53E 0 14 3.5279'E-07 4.51319E-31 7.59237E-07 1.19964E 00 15 3.54C.96E-08 4.1165PE-31.29715E-03 1.19747E C0 16 3.u6543E-09 3.72551E-01 7.86123E-09 1.193.C3E 0 17 2.29365E-10 3.34193E-01 6.47933E-13 1.18633E 18 1.48649E-11 2.96784E-51 4.66159E-11 1.17739E OC 19 8.36 h64E-13 2.65 32E-01 2.93776E-12 1.15624E C0 2. 4.08767E-14 2.25653E-3i1 1.62753E-13 1.15291E 00 21 1.73938E-15 1.92366E-C' 1 7.95465E-15 1.13744E 6'22 6.44523E-17. 66,8986-11 3.44292F-16 1.11988E C' 23 2.07885 -18 11.3148 4E-01 1.32460 -17 1.10J026E O5 24 5.82498E-2C 1.C4364E —1 4.54741E-19 1.-7bo6E OC 25 1.41163E-21 7.9735CE-52 1.39856F-22 1.^5514E 04 26 2.93298E-23 5. 79992E-2 3.86883E-22 1.?2976E 3 27 5.13855E-25 3.92668E-02 9.66567E-24 1.g2o1lE Ot 28 7.34485E-27 2.3854E-02 2. 19001E-25 9.73774E-01 29 7.96112E-29 1.20333E-0? 4.b1921E-27 9.43335E-01 30 5.32489E-31 4.08396F-)3 8.52988E-29 9.11393E-01 31 6.90325E-34 2.91582E-04 1.479j6F-30 8.78032 —)1 32 3.77337E-35 9.48264E- 4 2.36654F-32 8.43422E-01 33 3.95023E-36 6.35259E-03 3.5C979E-34 d8.7619E-01 34.000OE 00 1.68097E-02 4.84693E-36 7.77uo6E-0 1 35.0j0000 I0 3.26316E-02.0000rdE 03 7.32992E-01 36.COOOE 00 5.41347E-02.03030E 03 6.94433E-01 37.OOO0nF',0 9.16452E-;2.OO 3?E 03 6.55233E-01 38.0j3 I 0 F0 1.15494E-01.303 F 6.15538E-01 39.0000E O0 1.56017E-n1.03 03E J3 5.7551;6E-01 40.00COC E 00 2.0356CE-01.0003E 03 5.35297E-01 41.0r030E 00 2.58473E-01. 0F)3F 03 4.9508-'E-01 42. OOOOOF 0 3.21113E-01.C U03E 0 4.55j3i)E-01 43.c3030E 00 3.91843E-01.OCOOOE 03 4.1532bE-01 44.3000E 00 4.71333L-01.0033O 03 3.76161-031 45.OOCO3F n0 5.5936 E-01.3)03 0 3 0 3.37724E-01 46 j.OOOCO 00 6.56305rE-01.003D3E 03 3.00219E-01 47.00030: O00 7.63169E-01.00333E OD 2.6385:3E-01 48.OO0E 00 8.80020E-31.00000E 0D 2.28834E-01 49 ".O)'.ONE 3n 1.00729E 030.0303F 03 1.95389E-01 5C.0000E 00 1.14537E 00.,000E 03 1.63743E-01 SUM S(J) FOR R = 4.39393139E 00 SUM S(J) FOR P = 3.08'03828E 00 54

WILLOW RUN LABORATORIESE STRENGTHS AND F FACTORS OF THE V =0 TO V = 2 TRANSITIONS OF HF TEMPERATURE = 500.3 DEG. K R BRANCH P BRANCH J S(J) F(J) S(J) F(J) 3.27672E-01 9.71008E-01 1 5.66417E-01 9.40425E-01 3.048616-01 1.02731E 00 2 6.50464E-01 9.08349E-01 4.90468E-01 1.05285E 00 3 5.88241E-01 8.74883E-01 5.24579E-01 1.07655E 00 4 4.41959E-01 8.4C138E-01 4.42293E-01 1.09833E 00 5 2.82605E-01 8.04232E-01 3.10251E-01 1.11814E 00 6 1.55839E-01 7.67288E-01 1.85549E-01 1.13590E 00 7 7.47189E-02 7.29435E —1 9.59044E-02 1.15157E 00 j 3.13249E-G2 6.90811E-G1 4.32103E-02 1.16510E o0 9 1.15311E-02 6.51558E-01 1.70738E-02 1.17645E SO 10 3.73955E-03 6.11826E-01 5.94403E-03 1.18559E 00 11 1.07138E-03 5.71770E-01 1.83017E-03 1.19250E 00 12 2.71834E-04 5.31553E-01 5.00028E-04 1.19715E 0013 6.12144E-05 4.91344E-C1 1.21593E-04 1.199Y3E 00 14 1.22593E-05 4.51319E-01 2.63893[-05 1.19964E 00 15 2.18754E-06 4.11658E-01 5.12585E-06 1.19747E 00 16 3.48396E-07 3.72551E-01 P.93456E-07 1.193G3E 3' 17 4.96023E-08 3.34193E-01 1.40122E-07 1.18633E 00 18 6.32188E-09 2.96784E-01 1.98252E-08 1.177399 00 19 7.22114E-10 2.6C532E-01 2.53736E-09 1.16624E 0' 20 7.39836E-11 2.25653E-C1 2.94564E-13 1.152)1E iC 21 6.80121E-12 1.92366E-01 3.11038E-11 1.13744E 00 22 5.60808E-13 1.60898E-01 2.99573E-12 1.11988E 00 23 4.14222E-14 1.31484E-01 2.63933E-13 1.10026~ OC 24 2.73262E-15 1.04364E-01 2.13329E-14 1.07866E 0C 25 1.69138E-16 7.97850E-02 1.58656E-15 1.05514E 00 26 8.25567E-18 5.79992-0C2 1.08899E-15 1.02976E 00 27 3.67862E-19 3.92668E-02 6.91953E-18 1.00261E 00 28 1.36932E-20 2.38540E-C2 4.08291E-19 9.73774L-01 29 3.95351[-22 1.20333E-~2 2.24425E-23 9.43335E-01 30 7.19675E-24 4.08396E-03 1.15284E-21 9.11393E-01 31 2.59143E-26 2.91582E-04 5.55229E-23 8.78052E-01 32 4.01041E-27 9.48264E-04 2.515493-24 8.43422E-01 33 1.21049E-27 6.35259E-03 1.07552E-25 8.07619E-01 34 1.37129E-28 1.68097E-02 4.35479E-27 7.707666-01 35 1.08679E-29 3.2631CE-02 1.67545E-28 7.32992E-01 36 7.04557E-31 5.41347E-02 6.14624E-33 6.94433E-01 37 3.98940E-32 8.16452E-02 2.15729E-31 6.55233E-01 38 2.04337E-33 1.15494E-01 7.27D41E-33 6.15538E-01 39 9.67721E-35 1.56017E-01 2.36104E-34 5.75506E-01 4j 4.30299E-36 2.03560E-01 7.41483E-35 5.35297E-01 41.O0000E 00 2.58473E-01.0000E 0O3 4.95080E-01 42.OOOOOE 00 3.21113E-01.03000E 00 4.55030E-01 43.0000E 00 3.91843E-01.OC0093E 0 4.15328E-01 44.00000E 00 4.71333E-01.00009E 03 3.76161E-01 45.00000E 00 5.59060E-01.0009DE 03 3.37724E-01 46.00000E 00 6.56305E-01.00009E 03 3.00219E-01 47.00000E 00 7.63160E-C1.00000E OD 2.63850E-01 48.0000E 00 8.80020E-01.000E 03 2.28834E-01 49.00000E 00 1.00729E 00.000 E 00 1.95389E-01 50.0000CE 00 1.14537E 00.0000OE 00 1.63743E-01 SUM S(J) FOR R = 3.13592982E 00 SUM 5(J) FOR P = 2.42261845E 00 55

WILLOW RUN LABORATORIES STRENGTHS AND F FACTORS OF THE V = 0 TO V = 2 TRANSIIIONS OF HF TEMPERATURE = 1000.0 DEG. K R BRANCH P BRANCH J S(J) F(J) S(J) F(J)'L?.21528E-02 9.71008E-01 1 1.50664E-01 9.4C425E-01 8.10911E-02 1.%2731E 0O 2 1.94735E-01 9.C8349E-01 1.46835E-01 1.05285E 00 3 2.1 241E-01 8.74883E-01 1.87487E-01 1.07655E 00 4 1.99980E-01 8.4013?E-31 2.0C 13D-01 1.09833E 00O 5 1.71632E-01 8.04232E —1 1.88420E-01 1.11&14E 00 6 1.34624E-01 7.67288E-01 1.60288E-01 1.1359CE 00 7 9.72600E-02 7.29435E-01 1.24835F-01 1.15157E 00 8 6.50516E-02 6.90811E-01 8.97321E-02 1.16510E 0 9 4.34262F-02 6.51558E-01 5.98569F-02 1.17645E 00 10 2.34-?55E-02 6.11826E-01 3.72023E-02 1.18559E 00 11 1.26510E-02 5.7177E-C1 2.16103E-02 1.1925CE O0 12 6.39453E-03 5.31553E-01 1.17622E-02 1.19715E 00 13 3.02665E-03 4.91344E-01 6.01164F-03 1.19953E 00 14 1.34299E-03 4.51319E-01 2.89079E-03 1.19964E 30 15 5.59161E-04 4.11658E-C1 1.31017E-03 1. 1747E 00 16 2.13609E-04 3.72551E-01 5.60592E-04 1.193 3E 0G 17 8.02950E-05 3.34193E-'1 2.26813[-04 1.18633E 0! 18 2.77150E-05 2.96784E-01 8.69081E-05 1.17739E O 19 8.98960E-06 2.60532E-C1 3.15853E-05 1.16624E 0J 2C 2.7398-E-06 2.25653E-01 1.09043E-05 1.15291E O0 21 7.83176E-07 1.92366E-01 3.58133E-05 1.13744E 0' 22 2.09817E-07 1.66898E-31 1.12068E-05 1.11988E O, 23 5.25237E-08 1.31484E-01 3.34627E-37 1.10 026E 00 24 1.22330E-08 1.04364E-01 9.54859E-03 1.7866E 3 25 2.63263E-09 7.97850E-02 2.60783F-08 1.05514E 00 26 5.17680E-10 5.79992E-02 6.82724E-09 1.02976E 00 27 9.12466E-11 3.92668E-02 1.71597E-09 1.C2261E O 28 1.39123E-11 2.38547E-32 4.14714E-13 9.73774E-01 29 1.70093E-12 1.2C333E-02 9.65256E-11 9.43335E-01 30 1.35331E-13 4.08396E-03 2.16708E-11 9.11393E-01 31 2.19475E-15 2.91582E-04 4.70344F-1? 8.78052E-01 32 1.57366F-15 9.48264E-04 9.8b559E-13 8.43422E-01 33 2.26001E-15 6.35259E-03 2.00690E-13 8.07619E-01 34 1.24879F-15 1.68097E-02 3.96319E-14 7.70766E-01 35 4.93995E-16 3.26310E-02 7.60991E-15 7.32992E-01 36 1.63276E-16 5.41347E-02 1.42308E-15 6.94433E-01 37 4.83557E-17 8.16452E-02 2.59594E-15 6.55233E-01 38 1.30193E-17 1.15494E-01 4.62672E-17 6.15538E-01 39 3.31221E-18 1.56017E-01 8.06969E-18 5.75506E-01 40 8.01906E-19 2.03560E-01 1.37953E-13 5.35297E-01 41 1.86548E-19 2.58473E-01 2.31513E-19 4.95080E-01 42 4.20095E-20 3.21113E-01 3.81987E-20 4.55030E-01 43 9.21349E-21 3.91843E-01 6.20573E-21 4.15328E-01 44 1.97813E-21 4.71033E-01 9.94070E-22 3.76161C-01 45 4.17653E-22 5.59060E-01 1.57215E-22 3.37724E-01 46 8.70776E-23 6.56305E-01 2.45773E-23 3.C0219E-01 47 1.79973E-23 7.63160E-01 3.80147E-24 2.63850E-31 48 3.70107E-24 8.80020E-01 5.82191E-25 2.28834E-01 49 7.60025E-25 1.00729E 00 8.83081E-25 1.95389E-01 50 1.564C6E-25 1.14537E 30 1.32625E-25 1.63743E-01 SUM S(J) FOR R = 1.39448543E O0 SUM S(J) FOR P = 1.32038485E 00 56

WILLOW RUN LABORATORIES STRENGTHS AND F FACTORS OF THE V = 0 TO V = 2 TRANSITIONS OF HF TEMPERATURE = 1500.0 DEG. K R BRANCH P BRANCH J S(J) F(J) S(J) F(J) J 3.57541E-02 9.71008E-31 1 6.68782E-02 9.40425E-01 3.59933E-02 1.02731E 00 2 8.99170E-02 9.08349E-01 6.77927E-02 1.05285E 00 3 1.02984E-01 8.74883E-01 9.18248E-02 1.07655E 300 4 1.05972E-01 8.4C138E-01 1.06331E-01 1.09833E 00 5 1.00325E-01 8.04232E-01 1.10113E-01 1.11814E 00 6 8.85011E-02 7.67288E-01 1.05343E-01 1.13590E 00 7 7.33019E-02 7.29435E-01 9.40531E-02 1.15157E 00 8 5.72878E-02 6.9C811E-01 7.89924E-02 1.16510E 00 9 4.23913E-02 6.51558E-01 6.27390E-02 1.17645E 00 10 2.97738E-02 6.11826E-01 4.73010E-02 1.18559E 00 11 1.98855E-02 5.71770E-01 3.3949DE-02 1.19250E 00 12 1.26472E-02 5.31553E-01 2.32486E-02 1.19715E 00 13 7.66800E-03 4.91344E-1 1.52196E-02 1.19953E 00 14 4.43564E-03 4.51319E-01 9.54017E-03 1.19964E G0 15 2.44950E-03 4.1165SE-01 5.73435E-03 1.19747E 00 16 1.29185E-03 3.72551E-01 3.30950E-03 1.19303E 00 17 6.50765E-04 3.34193E-01 1.83624E-03 1.18633E 00 18 3.13094E-04 2.96784E-01 9.80605E-04 1.17739E 00 19 1.43808E-04 2.6C532E-01 5.04598E-04 1.16624E 00 20 6.30082E-05 2.25653E-01 2.50473E-04 1.15291E 00 21 2.629R8E-05 1.92366E-01 1.20063E-04 1.13744E 00 22 1.04350E-05 1.60898E-01 5.56346E-05 1.11988E 00 23 3.92371E-06 1.31484E-Q1 2.49477F-05 1.10626E OC 24 1.39147E-06 1r,4364E-01 1.08372E-05 1.C7866E 00 25 4.61993E-07 7.9785CE-02 4.56518E-05 1.05514E 00 26 1.41937E-07 5.79992E-02 1.86682E-05 1.02976E 00 27 3.95652E-08 3.92668E-02 7.41827E-07 1.00261E 00 28 9.65159E-09 2.38540E-02 2.86753E-07 9.73774E-01 29 1.90900E-09 1.20333E-02 1.07937E-07 9.43335E-01 30 2.48322E-10 4.08396E-03 3.96033E-08 9.11393E-01 31 6.65031E-12 2.91582E-04 1.41790E-08 8.78052E-01 32 7.94884E-12 9.48264E-04 4.95861E-09 8.43422E-01 33 1.91992E-11 6.35259E-03 1.69556E-09 8.07619E-01 34 1.79901E-11 1.68097E-02 5.67483E-10 7.70766E-01 35 1.21610E-11 3.26310E-02 1.86085E-13 7.32992E-01 36 6.91735E-12 5.41347E-02 5.98445F-11 6.94433E-01 37 3.52637E-12 8.16452E-02 1.88936E-11 6.55233E-01 3b 1.66439E-12 1.15494E-01 5.86140E-12 6.15539E-01 39 7.41492E-13 1.56017E-01 1.78851E-12 5.75506E-01 40 3.15774E-13 2.0356CE-01 5.37247E-13 5.35297E-01 41 1.29704E-13 2.58473E-01 1.59011E-13 4.95080E-01 42 5.17324E-14 3.21113E-01 4.64086E-14 4.5533QE-91 43 2.01425E-14 3.91843E-01 1.33663E-14 4.15328E —1 44 7.68984E-15 4.71033E-01 3.80140E-15 3.76161E-01 45 2.88942E-15 5.59060E-01 1.06813E-15 3.37724E-01 46 1.07212E-15 6.56305E-01 2.96626E-15 3.00219E-01 47 3.94032E-16 7.63160E-01 8.14238E-17 2.63850E-01 48 1.43848E-16 8.80020E-01 2.20889E-17 2.28834E-01 49 5.23026E-17 1.00729E 00 5.91842E-18 1.95389E-01 50 1.89897E-17 1.14537E 00 1.56420E-18 1.63743E-01 SUM S(J) FOR R = 8.42677212E-01 SUM S(J) FOR P = 8.949752810-91 57

WILLOW RUN LABORATORIES STRENGTHS AND F FACTORS OF THE V = 9 TO V = 2 TRANSITIONS OF HF TEMPERATURE = 20:0.0 DEG. K R BRANCH P BRANCH J S(J) F(J) S(J) F(J) 1.92452E-02 9.71008E-01 1 3.63575E-02 9.4 425E-, 1 1.95625E-02 1.02731f 00 2 4.98583E-02 9.06349f-01 3.75751E-02 1.05255E 00 3 5.88185E-02 8.74883E-01 5.24147E-02 1.07655E 00 4 6.29547E-02 8.40138E-01 6.294330E-02 1.09833E 00 5 6.25994E-02 8.04232E-01 6.86434E-02 1.11814E GO 6 5.85638E-02 7.67288E-01 6.96318E-02 1.135'9E 0J 7 5.19379E-02 7.29435E-01 6.65555E-C2 1.15157E O 8 4.38786E-02 6.90811E-01 6.34134E-02 1.16510E O0 9 3.54306E-02 6.51558E-01 5.23492 —02 1.17645E O0 10 2. 74089E-02 6.11826E-;1 4.34617E-02 1.185 59E O9 11 2.C3489E-02 5.71770E-01 3.46670E-C2 1.1925E 0C 12 1.45173E-02 5.31553[-01 2.66240E-02 1.19715E 00 13 9.96178E-03 4.91344E-01 1.97214E-02 1.19953E 0G 14 6.57942E-03 4.51319E-01 1.4110PE-02 1.19964E O) 15 4.18434E-03 4.11658E-'!1 9.76521E-33 1.19747E 0 It 2 2.563'01E-3 3.72551E-01 6.543700-03 1. 19] 3CJ3E 00 17 1.51199E-03 3.34193E-n1 4.25050E-03 1.18633E 0) 18 8.58802E-04 2.96784E-91 2.67890E-03 1.17739[ 0V 19 4.69379E-04 2.60532E-01 1.63975E-03 1.166240E' 20 2.466 4E-04 2.25653E-01 9.75646E-04 1.15291E 0 21 1.24350E-04 1.92366E-01 5.64771E-04 1.13744E 0' 22 6.C0430E-05 1.60898E-C1 3.18335E-04 1.119EE OC 23 2.76681E-05 1.31484E-01 1.74857E-34 1.10026E 0? 24 1.21C66E-05 1.04364E-01 9.36746E-0i5 1.C7666E C0 25 4.99222E-06 7.9785CE-02 4.89831E-05 1.n5514E 00 26 1.91694E-06 5.79992E-,32 2.50207E0-05 1.C2976E 0C 27 6.719r2E-07 3.92668E-02 1.24945E-05 1.> 261E 0: 28 2.07296E-07 2.38540F-02C 6.10443E-06 9.73774E-01 29 5.21435F-08 1.20333E-02 2.92017E-05 9.43335E-01 3C 8.67152E-09 4.i8396E-03 1. 36879E-05 9.11393E-01 31 2.98382E-10 2.91582E-04 6.291630-07 8.78052E-01 32 4.60389E-10 9.48264E-04 2.83792E-07 8.43422E-01 33 1.44182E-09 6.35259E-03 1.25710E-07 8.07619E-01 34 1.75897E-09 1.68097E-02 5.47254E-08 7.70766E-01 35 1.55399E-09 3.26310E-02 2.34292E-08 7.32992E-01 36 1.15929E-09 5.41347E-02 9.871265-09 6.94433E-01 37 7.77563E-10 8.16452E-02 4.09567E-39 6.55233E-01 38 4.84271E-10 1.15494E-01 1.67452E-09 6.15538E-01 39 2.85402E-10 1.56317E-01 6.75040E-13 5.755b6E-01 40 1.61141E-1n 2.03560E-01 2.68465E-13 5.35297E-01 41 8.79164E-11 2.58473E-C1 1.05388E-10 4.95080E-01 42 4.66465E-11 3.21113E-01 4.0e8535F-11 4.55u30E-31 43 2.41883E-11 3.91843E-01 1.56446E-11 4.15328E-01 44 1.23076E-11 4.71333E-01 5.91989E-12 3.76161E-01 45 6.16578E-12 5.5906SE-01 2.21376E-12 3.37124E-01 46 3.05016E-12 6.563C5E-01 8.18378E-13 3.00219E-01 47 1.49386E-12 7.63160E-01 2.98663E-13 2.63850E-31 48 7.26072E-13 8.80020E-01 1.07648E-13 2.28834E-01 49 3.50994E-13 1.50729E 00 3.82661E-14 1.95389E-01 50 1.69116E-13 1.14537E 00 1.33917E-14 1.63743E-01 SUM S(J) FOR R = 5.68526751E-01 SUM S(J) FOR P = 6.55776817E-01 58

WILLOW RUN LABORATORIES STRENGTHS AND F FACTORS OF THE V = 0 TO V = 2 TRANSITIONS OF HF TEMPERATURE = 2500.0 DEG. K R BRANCH P BRANCH J S(J) F(J) S(J) F(J) 0 1.15792E-02 9.71008E-01 1 2.20078E-02 9.40425E-01 1.18362E-02 1.02731E 00 2 3.05427E-02 9.08349E-01 2. 3008E-02 1.05285C.!C: 3.3.66796E-0? 8.74883E-01 3.26516E-02 1.C7655E 3i 4 4.01999E-02 8.40138E-01 4.01374E-02 1.09633E 00 5 4.117C3E-02 8.04232E-01 4.5C693E-02 1.11814E 0O 6 3.99002E-02 7.67286E-31 4.73460E-02 1.13590E G0 7 3.68689E-02 7.29435E-01 4.71354E-92 1.15157E C 8 3.26388E-02 6.90811E-C1 4.48184E-02 1.16510E 00 9 2.77725E-02 6.51558E-01 4.09108E-02 1.17645E 0' 10 2.27671E-02 6.11826E-01 3.59799E-02 1.18559E 0c 11 1.80106E-02 5.71770F-01 3.05690E-02 1.19250E 30 12 1.37659E-02 5.31553E-01 2.51422E-02 1.19715E 30 13 1.01744E-02 4.91344E-01 2.00516E-02 1.19953E GC 14 7.27604E-03 4.51319E-01 1.55283E-02 1.19964E 0O 15 5.03633E-03 4.11658E-01 1.16909E-02 1.19747, 00 16 3.37454E-03 3.72551E-01 8.56592E-03 1.19333E 00 17 2.18847E-03 3.34193E-01 6.11391E-03 1.18633E 00 1e 1.37316E-03 2.96784E-01 4.25459E-03 1.17739E 05 19 8.32982E-04 2.60532E-01 2.88899E-03 1.16624E 0 20 4.87973E-04 2.25653E-01 1.915646-03 1.15291E 00 21 2.75594E-04 1.92366E-01 1.24132E-03 1.137442 O0 22 1.49693E-04 1.60898E-01 7.86606E-04 1.11988E 30 23 7.79222E-05 1.31484E —1 4.87792E-G4 1.1C026E 00 24 3.86734E-05 1.04364E-01 2.96214E-04 1.C7H66E 00 25 1.81592E-05 7.9785CE-02 1.76263E-04 1.C5514E 0 26 7.97005E-06 5.79992E-02 1.02838E-04 1.72976E 00 27 3.2,3466E-06 3.92668E-02 5.88681E-05 1.00261CE 00 28 1.13814E-06 2,38540E-02 3.30827E-35 9.73774E-01 29 3.30649E-07 1.20333E-02 1.82633E-05 9.43335E-01 30 6.37076E-08 4.-08396E-93 9.90996E-05 9.11393E- 1 31 2.54735E-09 2.91582E-04 5.28851E-06 8.78052E-01 32 4.58014E-09 9.48264E-04 2.77724E-06 8.43422E-01 33 1.67589E-08 6.35259E-03 1.4359?E-06 8.n7619E-'jl 34 2.39462E-08 1.68097E-02 7.31438E-07 7.70766E-01 35 2.48346E-08 3.26310E-02 3.67219E-07 7.32992E-01 36 2.17942E-08 5.41347E-02 1.81806E-07 6.94433E-01 37 1.72288E-08 8.16452E-02 8.88338E-08 6.55233E-01 38 1.26676E-08 1.15494E-01 4.28142E-08 6.1553BE-01 39 8.827060-09 1.56017E-01 2.03824F-08 5.75506E-01 40 5.90038E-09 2.03560E-01 9.58487E-09 5.35297E-01 41 3.81535E-09 2.58473E-01 4.45365E-09 4.95030E-01 42 2.40134E-09 3.21113E-01 2.04525E-09 4.55030E-01 43 1.47806E-09 3.91843E-01 9.28412E-10 4.15328E-01 44 8.93085E-10 4.71033E-01 4.16596E-10 3.76161E-01 45 5.31400E-10 5.59360E-01 1.84767E-10 3.37724E-01 46 3.12205E-10 6.56305E-01 8.09733E-11 3.00219E-01 47 1.81539E-10 7.63160E-01 3.50450E-11 2.63850E-01 48 1.04695E-10 8.80020E-01 1.49657E-11 2.28834E-01 49 6.00002E-11 1.0U729E 00 6.29738E-12 1.95389E-01 50 3.42318E-11 1.14537E 03 2.60574E-12 1.63743E-01 SUM S(J) FOR R = 4.05220377E-01 SUM S(J) FOR P = 4.98828763E-01 59

WILLOW RUN LABORATORIES STRENGTHS AND F FACTORS OF THE V = 0 TO V = 2 TRANSITIONS OF HF TEMPERATURE = 3000.3 DEG. K R BRANCH P BRANCH J S(J) F(J) S(J) F(J) 0 7.46740E-03 9.71008E-01 1 1.42515E-02 9.40425E-01 7.66014E-03 1.02731E,C 2 1.99381E-02 9.08349E-01 1.49999E-02 1.05285E 0O 3 2.42322E-02 8.74883E —1 2.15411E-02 1.07655E 0, 4 2.69821E-02 8.40138E-01 2.68920E-02 1.09833E 0C 5 2.81840E-02 8.04232E-01 3.07855E-02 1.11814E 0C 6 2.79664E-02 7.67288E-<1 3.30988E-02 1.13590E 00 7 2.65597E-02 7.29435E-01 3.38531E-02 1.15157E 00 8 2.42575E-02 6.9C811E-01 3.31949E-02 1.16510E 00 9 2.13751[-02 6.51558E-01 3.13651E-02 1.17645E Or 1- 1.82134E-02 6.11826E-01 2.86595E-02 1.18559E 00 11 1.50313E-02 5.71770E-01 2.53908E-02 1.19250E 00 12 1.20288E-02 5.31553E-01 2.18550E-02 1.19715E 00 13 9.34165E-03 4.91344E-01 1.83057E-02 1.19953E OC1 14 7.04412E-03 4.51319E-01 1.49406E-02 1.19964E 00 15 5.15885E-03 4.11658E-1l 1.18954E-02 1.19747E 00 16 3.66964E-03 3.72551E-01 9.24812E-03 1.19303E 00 17 2.53483E-03 3.34193E-o1 7.02697E-03 1.18633E 00 18 1.69952E-03 2.96784E-01 5.22240E-03 1.17739E 00 19 1.10511E-03 2.60532E-01 3.79906E-03 1.16624E 00 20 6.96076E-04 2.25653E-01 2.73698E-03 1.15291E 00 21 4.23950E-04 1.92366E-01 1.890503-03 1.13744E 00 22 2.49048E-04 1.629488E-3 1.2948E- 1.11988E 00 23 1.40603E-04 1.31484E-J01 8.75310F-04 1.10 26E 00 24 7.58875E-05 1.04364E-01 5.74360E-04 1.07866E 00 25 3.88518E-05 7.97850E-02 3.72385E-04 1.05514E 00 26 1.86389E-05 5.79992E-02 2.37319E-04 1.02976E DO 27 8.21161E-06 3.92668E-02 1.48742E-04 1.C0261E,00 28 3.20279E-06 2.38540E-02 9.17311E-05 9.73774E-01 29 1.02409E-06 1.20333E-02 5.56929E-05 9.43335E-01 30 2.17623E-07 4.083961E-33 3.33D36E-95 9.11393E-01 31 9.61615E-09 2.91582E-04 1.96245F-05 8.7b8052E-01 32 1.91424E-08 9.48264E-04 1.14004E-05 8.43422E-01 33 7.76827E-08 6.35259E-03 6.53194E-05 8.07619E-01 34 1.23305E-07 1.68097E-02 3.69277E-06 7.70766E-01 35 1.42272E-07 3.26319E-02 2.06074E-06 7.32992E-01 36 1.39097E-07 5.41347E-02 1.13558E-06 6.94433E-01 37 1.22656E-07 8.16452E-02 6.18149E-07 6.55233E-01 38 1.00710E-07 1.15494E-01 3.32481E-07 6.15538E-01 39 7.84451E-08 1.56017E-01 1.76757E-07 5.75506E-01 40 5.86637E-08 2.03560E-01 9.28995E-08 5.35297E-01 41 4.24690E-08 2.58473E-01 4.82781E-08 4.95080E-01 42 2.99422E-08 3.21113E-01 2.48100F-08 4.55030E-01 43 2.06535E-08 3.91843E-01 1.26080E-08 4.15328E-01 44 1.39889E-08 4.71033E-01 6.33511E-09 3.76161E-01 45 9.33126E-09 5.59060E-01 3.14660E-09 3.37724E-01 46 6.14554E-09 6.56305E-01 1.54422E-09 3.OC219E-01 47 4.00486E-09 7.63160E-01 7.48250E-10 2.63850E-01 48 2.58737E-09 8.80020E-01 3.57597E-13 2.28834E-01 49 1.66009E-09 1.00729E 00 1.68299E-10 1.95389E-01 50 1.05952E-09 1.14537E 00 7.78287E-11 1.63743E-01 SUM S(J) FOR R = 2.98697951E-01 SUM S(J) FOR P = 3.88055980E-01 60

WILLOW RUN LABORATORIES STRENGTHS AND F FACTORS OF THE V = 0 TO V = 2 TRANSITIONS OF HF TEMPERATURE = 3500.3 DEG. K R BRANCH P BRANCH J S(J) F(J) S(J) F(J) 5.05441E-03 9.71008E-01 1 9.67543E-03 9.40425E-01 5.19712E-03 1.02731E 00 2 1.36150E-02 9.08349E-01 1.02317E-02 1.05285E 00 3 1.66931E-02 8.74883E-01 1.48139E-02 1.07655E 00 4 1.87967E-02 8.4C138E-01 1.86969E-02 1.09833E 00 5 1.99135E-02 8.04232E-01 2.1699DE-02 1.11814E 00 6 2.00962E-02 7.67288E-01 2.37160E-02 1.13590E 00 7 1.94633E-02 7,29435E-01 2.47255E-02 1.15157E 00 8 1.81773E-02 6.90811E-01 2.47804E-32 1.1651, 001 9 1.64225E-02 6.51558E-01 2.39956E-02 1.17645E 00 10 1.43854E-02 6.11826E-01 2.25292E-02 1.18559E 00 11 1.22365E-02 5.7177qE-01 2.05627E-02 1.19250E 00 12 1.01190E-02 5.31553E-01 1.82807E-02 1.19715E 00 13 8.14118E-03 4.91344E-01 1.58549F-02 1.19953E 0) 14 6.37563E-03 4.51319E-01 1.34326F-02 1.19964E 0O 15 4.86121E-03 4.11658E-01 1.11287E-02 1.19747E 00 16 3.60870E-03 3.72551E-01 9.02455E-03 1.19333E 00 17 2.60755E-03 3.34193E-01 7.169099-03 1.18633E 00 18 1.83299E-03 2.96784E-01 5.58316E-03 1.17739E 00 19 1.25245E-03 2.60532E-01 4.26548E-03 1.16624E 00 20 8.30772E-04 2.25653E-01 3.19899E-03 1.15291E 00 21 5.33984E-04 1.92366E-01 2.35629E-03 1.13744E 00 22 3.31725E-04 1.60898E-01 1.7 567E-03 1.11988E 00 23 1.98442E-04 1.31484E-01 1.21403E-03 1.10C26E 00 24 1.13707E-04 1.04364E-01 8.50063E-04 1.07866E 00 25 6.19175E-05 7.97850E-02 5.85828E-04 1.05514E 00 26 3.16505E-05 5.79992E-02 3.97547E-04 1.02976E 30 27 1.48830E-05 3.92668E-02 2.65769E-04 1.00261E 00 28 6.20583E-06 2.38540E-02 1.75108E-04 9.73774E-01 29 2.12470E-06 1.2C333E-02 1.13757E-04 9.43335E-01 30 4.84163E-07 4.08396E-03 7.28952E-05 9.11393-01 31 2.29734E-08 2.91582E-04 4.60931E-05 8.78052E-01 32 4.91734E-08 9.48264E-04 2.87709E-05 8.43422E-01 33 2.14834E-07 6.35259E-03 1.77339E-05 8.07619E-01 34 3.67540E-07 1.68097E-02 1.07979E-05 7.70766E-01 35 4.57560E-07 3.26310E-02 6.49664E-06 7.32992E-01 36 4.83143E-07 5.41347E-02 3.86352E-06 6.94433E-01 37 4.60531E-07 8.16452E-C2 2.27160E-06 6.55233E-01 38 4.09069E-07 1.15494E-01 1.32378E-06 6.15538E-01 39 3.44942E-07 1.56317E-01 7.59558E-07 5.75506E-01 40 2.79426E-07 2.03560E-01 4.32092E-07 5.35297E-01 41 2.19230E-07 2.58473E-01 2.43168E-07 4.95080E-01 42 1.67576E-07 3.21113E-01 1.35378E-07 4.55030E-01 43 1.25356E-07 3.91843E-01 7.45517E-08 4.15328E-01 44 9.20947E-08 4.71033E-01 4.06011E-OB 3.76161E-01 45 6.66376E-08 5.59060E-01 2.18589E-08 3.37724E-01 46 4.76036E-08 6.56305E-01 1.16274E-08 3.00219E-01 47 3.36425E-08 7.63160E-01 6.10569E-09 2.63650E-01 48 2.35637E-08 8.80020E-01 3.16136E-09 2.28834E-01 49 1.63835E-08 1.00729E 00 1.61129E-09 1.95389E-01 50 1.13244E-08 1.14537E 00 8.06500E-13 1.63743E-01 SUM S(J) FOR R = 2.25454855E-01 SUM S(J) FOR P = 3.06741941E-01 61

WILLOW RUN LABORATO-RIES STRENGTHS AND F FACTORS OF THE V = O TO V = 2 TRANSITIONS OF HF TEMPERATURE = 4000.0 DEG. K R BRANCH P BRANCH J S(J) F(J) S(J) F(J) 0 3.54787E-03 9.71008E-01 1 6.80726E-03 9.40425E-01 3.65405E-03 1.02731E 00 2 9.62127E-03 9.08349E-01 7.22237E-03 1.05285E 00 3 1.18712E-02 8.74883E-01 1.05202E-02 1.07655E 00 4 1.34846E-02 8.40138E-01 1.33861E-02 1.09833E 00 5 1.44385E-02 8.04232E-01 1.56944E-02 1.11814E 00 6 1.47570E-02 7.67288E-01 1.73645E-02 1.13590E 00 7 1.45044E-02 7.29435E-01 1.83639E-02 1.15157E 00 8 1.37748E-02 6.90811E-01 1.87069E-32 1.16510E 00 9 1.26806E-02 6.51558E-01 1.84488E-02 1.17645E 00 10 1.13403C-02 6.11826E-01 1.76759E-02 1.18559E 00 11 9.86761E-03 5.71770E-01 1.64953E-02 1.19250E 00 12 8.36326E-03 5.31553E-01 1.50228E-02 1.19715E 00 13 6.90934E-03 4.91344E-01 1.33729E-02 1.19953E 00 14 5.56661E-03 4.51319E-01 1.16503E-02 1.19964E 00 15 4.37447E-03 4.11658E-01 9.94281E-03 1.19747E 00 16 3.35293E-03 3.72551E-01 P.32082E-03 1.19303E 00 17 2.50588E-03 3.34193E-01 6.83343E-03 1.18633E 00 18 1.82510E-03 2.96784E-01 5.51099E-03 1.17739E 00 19 1.29424E-03 2.60532E-01 4.36733E-03 1.16624E 00 20 8.92415E-04 2.25653E-01 3.40291E-03 1.15291E 00 21 5.97218E-04 1.92366E-01 2.60836E-03 1.13744E 00 22 3.86874E-04 1.60898E-01 1.96782E-03 1.11988E 00 23 2.41689E-04 1.31484E-01 1.46189E-03 1.10026E 00 24 1.44833E-04 1.04364E-01 1.06991E-03 1.07866E 00 25 8.25943F-05 7.97850E-02 7.71756E-04 1.05514E 00 26 4.42744E-05 5.79992E-02 5.48891E-04 1.02976E 00 27 2.18601E-05 3.92668E-02 3.85371E-04 1.00261E 00 28 9.58256E-06 2.38540E-02 2.66569E-04 9.73774E-01 29 3.45305E-06 1.20333E-02 1.82159E-04 9.43335E-01 30 8.29090E-07 4.08396E-03 1.22918E-04 9.11393E-01 31 4.14946E-08 2.91582E-04 8.19309E-05 8.78052E-01 32 9.37736E-08 9.48264E-04 5.39617E-05 8.43422E-01 33 4.32949E-07 6.35259E-03 3.51283E-05 8.07619E-01 34 7.83420E-07 1.68097E-02 2.26089E-05 7.70766E-01 35 1.03237E-06 3.26310E-02 1.43901E-05 7.32992E-01 36 1.15472E-06 5.41347E-02 9.05950E-06 6.94433E-01 37 1.16670E-06 8.16452E-02 5.64267E-06 6.55233E-01 38 1.09913E-06 1.15494E-01 3.47754E-06 6.15538E-01 39 9.83500E-07 1.56017E-01 2.12087E-05 5.75506E-01 40 8.45788E-07 2.03560E-01 1.28007E-06 5.35297E-01 41 7.04726F-07 2.58473E-01 7.64597E-07 4.95080E-01 42 5.72247E-07 3.21113E-01 4.51931E-07 4.55030E-01 43 4.54841E-07 3.91843E-01 2.64286E-07 4.15328E-01 44 3.55094E-07 4.71333E-01 1.52865E-07 3.76161E-01 45 2.73048E-07 5.59060E-01 8.74131E-08 3.37724E-01 46 2.07276E-07 6.56305E-01 4.93849E-08 3.00219E-01 47 1.55641E-07 7.63160E-01 2.75398E-08 2.63850E-01 48 1.15798E-07 8.80020E-01 1.51399E-08 2.28834E-01 49 8.54943E-08 1.00729E 00 8.19049E-09 1.95389E-01 50 6.27224E-08 1.14537E 00 4.34964E-09 1.63743E-01 SUM S(J) FOR R = 1.73323338E-31 SUM S(J) FOR P = 2.45573097E-01 62

WILLOW RUN LABORATORIES STRENGTHS AND F FACTORS OF THE V = 0 TO V = 2 TRANSITIONS OF HF TEMPERATURE = 4500.0 DEG. K R BRANCH P BRANCH J S(J) F(J) S(J) F(J) 2.56312E-93 9.71008E-01 1 4.92690E-03 9. 4425E-01 2.64299E-03 1.'2731E 00 2 6.98775E-03 9.08349E-,1 5.23981E-03 1.5285E G0 3 8.66571E-03 8.74883E- 1 7.66796E-03 1.076556E 00 4 9.90957E-03 8.40138E-01 9.81806E-03 1.09833[ 30 5 1.06990E-02 8.04232E-01 1.16020E-02 1.11814E 00 6 1.10437E-02 7.67288E-1l 1.29585E-02 1.13590E 00 7 1.09799E-02 7.29435E-01 1.38563E-02 1.151571 03 8 1.05645E-02 6.90811E-'0 1.42942F-02 1.163510C 9 9.86827E-03 6.51558E-C1 1.42978E-02 1.17645E 00 10 8.96871E-03 6.11826E-01 1.39154E-02 1.18559E 0 11 7.94291E-03 5.71770CE-01 1.32112E-02 1.1925,E 00 12 6.86206E-03 5.31553E-01 1.22588E-02 1.19715E 0C 13 5.78716E-03 4.91344E-01 1.11346E-02 1.19953E 00 14 4.76648E-03 4.51319E-01 9.91181E-03 1.19964E OfC 15 3.83465E-03 4.11658E-01 8.65625E-03 1.19747E 0O 16 3.01316E-03 3.72551E-01 7.42305E-03 1.19303E 00 17 2.31178E-03 3.34193E-01 6.25518E-03 1.18633E 00 18 1.73077E-03 2.96784E-01 5.18314E-03 1.17739E 0; 19 1.26327E-03 2.60532E-01 4.22573E-03 1.16624E 3C 20 8.97690E-04 2.25653E-)1 3.39160E-03 1.15291E 00 21 6.19874L-04 1.92366E-1 2.68116E-03 1.13744E 00 22 4.14827E-04 1.60898E-01 2.08861E-03 1.11988E 0' 23 2.68030E-04 1.31484E-01 1.60398E-03 1.10026E 0! 24 1.66306E-04 1.04364E-01 1.21488E-03 1.C7866E 00 25 9.83028C-05 7.97850E-02 9.07875E-04 1.05514E 00 26 5.46756E-05 5.79992E-02 6.69639E-04 1."2976E 00 27 2.80380E-05 3.92668E-02 4.87677E-04 1.00261E 03 28 1.27774E-05 2.38540E-02 3.50789E-04 9.73774E-01 29 4.79093E-06 1.20333E-02 2.49301E-04 9.43335E-01 30 1.19797E-06 4.08396E-03 1.75104E-04 9.11393L-01 31 6.24906E-08 2.91582E-04 1.21587E-04 8.78052E-01 32 1.47303E-07 9.48264E —04 8.34863E-05 8.43422E-01 33 7.09881E-07 6.35259E-03 5.66999E-05 8.07619E-01 34 1.34168E-06 1.68097E-02 3.80970E-05 7.7C766E-01 35 1.84783E-06 3.26310E-02 2.53295E-05 7.32992E-01 36 2.16130E-06 5.41347E-02 1.66673E-05 6.94433E-01 37 2.28470E-06 8.16452E-02 1.08559E-05 6.55233E-01 38 2.25294E-06 1.15494E-01 6.99953E-05 6.15538E-01 39 2.11095E-06 1.56017E-01 4.46793E-05 5.75526E-01 40 1.90157E-06 2.03560E —01 2.82338E-05 5.35297E-01 41 1.66013E-06 2.58473E-01 1.76619E-05 4.95080f-01 42 1.41277E-06 3.21113E-01 1.09357E-05 4.55030E-01 43 1.17701E-06 3.91843E-01 6.73332E-07 4.15328E-01 44 9.63251E-07 4.71333E-01 4.0609E-07 3.76161b-01 45 7.76464E-07 5.59060E-01 2.43335E-07 3.37724E-01 46 6.17871E-07 6.56305E-01 1.44055[-07 3.nD2192-01 47 4.86282E-07 7.63160E-01 8.41705E-08 2.63850E-01 48 3.79139E-07 8.80020E-01 4.847486-08 2.28834E-01 49 2.93258E-07 1.00729E G0 2.74660E-08 1.95389E-01 50 2.25318E-07 1.14537E 00 1.52719E-08 1.63743E-01 SUM S(J) FOR R = 1.35278556E-31 SUM S(J) FOR P = 1.98744835E-01 63

WILLOW RUN LABORATO-RIES STRENGTHS AND F FACTORS OF THE V = O TO V = 2 TRANSITIONS OF HF TEMPERATURE = 5000.0 DEG. K R BRANCH P BRANCH J S(J) F(J) S(J) F(J) 0 1.89630E-03 9.71008E-01 1 3.65001E-03 9.40425E-01 1.95682E-03 1.02731E 00 2 5.19126E-03 9.08349E-01 3.88873E-03 1.05285E 00 3 6.46419E-03 8.74883E-01 5.71176E-03 1.07655E O0 4 7.43189E-03 8.40138E-01 7.34975E-03 1.09833E 00 5 8.07751E-03 8.04232E-01 8.73958E-03 1.11814E 00 6 8.40413E-03 7.67288E-01 9.83507E-03 1.13590E 00 7 8.43271E-03 7.29435E-01 1.06093E-02 1.15157E 00 8 8.19884E-03 6.90811E-01 1.10548E-02 1.16510E 00 9 7.74853E-03 6.51558E-01 1.11830E-02 1.17645E 00 10 7.13369E-03 6.11826E-01 1.10206E-02 1.18559E 00 11 6.40759E-03 5.71770E-01 1.06373E-02 1.19250E 00 12 5.62106E-03 5.31553E-01 9.99C24E-03 1.19715E 00 13 4.81933E-03 4.91344E-01 9.22098E-03 1.19953E 00 14 4.03997E-03 4.51319E-01 P.35088E-03 1.19964E 00 15 3.31174E-03 4.11658E-01 7.42807E-03 1.19747E Or 16 2.65452E-03 3.72551E-01 6.49496E-03 1.19303E OC 17 2.07977E-03 3.34193E-01 5.58667E-03 1.18633E 00 18 1.59174E-03 2.96784E-C1 4.73026E-03 1.17739E 00 19 1.18889E-03 2.60532E-01 3.94477E-03 1.16624C 0O, 20 8.65418E-04 2.25653E-01 3.24183E-03 1.15291E 00 21 6.12745E-04 1.92366E-01 2.62662E-03 1.13744E 00 22 4.20e56E-04 1.6089eE-01 2.09909E-03 1.11988E 00 23 2.79343E-04 1.31484E-01 1.65529E-03 1.10026E 00 24 1.78211E-04 1.04364E-C1 1.28853E-03 1.07866E 00 25 1.08403E-04 7.97850E-02 9.90472E-04 1.05514E 00 26 6.20970E-05 5.79992E-02 7.52091F-04 1.C2976E OC 27 3.28223E-05 3.92668E-02 5.64309E-04 1.00261E 0O 28 1.54289E-05 2.38540E-G2 4.18519E-04 9.73774E-01 29 5.97169E-06 1.20333E-02 3.06894E-04 9.43335E-01 30 1.54242E-06 4.08396E-03 2.22562E-04 9.11393E-01 31 8.31631E-08 2.91582E-04 1.59667E-04 8.78052E-01 32 2.02745E-07 9.48264E-04 1.13339E-04 8.43422E-01 33 1.01110E-06 6.35259E-03 7.96214E-05 8.07619E-01 34 1.97957E-06 1.68397E-02 5.53674E-05 7.70766E-01 35 2.82275E-06 3.26310E-02 3.81169E-05 7.32992C-01 36 3.42159E-06 5.41347E-02 2.59823E-05 6.94433E-01 37 3.74989E-06 8.16452E-02 1.75380E-05 6.55233E-01 38 3.83505E-06 1.15494E-01 1.17232C-05 6.15538E-01 39 3.72792E-06 1.56017E-01 7.76032E-06 5.75506E-01 40 3.48487E-06 2.03560E-01 5.08706E-06 5.35297E-01 41 3.15790E-06 2.58473E-01 3.30186E-06 4.95080E-01 42 2.78987E-06 3.21113E-01 2.12165E-06 4.5530-E-01 43 2.41326E-06 3.91843E-01 1.34923E-06 4.15328E-01 44 2.05071E-06 4.71033E-01 8.48825E-07 3.76161E-01 45 1.71646E-06 5.59060E-01 5.27983E-07 3.37724E-01 46 1.41822E-06 6.56305E-01 3.24456E-07 3.00219E-01 47 1.15884E-06 7.63160E-01 1.96775E-07 2.63850E-01 48 9.37905E-07 8.80020E-01 1.17613E-07 2.28834E-01 49 7.52902E-07 1.00729E 00 6.91478E-08 1.95389E-01 50 6.00190E-07 1.14537E 00 3.98852E-08 1.63743E-01 SUM S(J) FOR R = 1.06967513E-01 SUM S(J) FOR P = 1.62392755E-01 64

WILLOW RUN LABORATORIES APPENDIX VII MORSE OSCILLATOR LINE STRENGTHS AND CORRECTION FACTORS FOR HYDROGEN FLUORIDE 65

WILLOW RUN LABORATORIES STRFNGrTHFS AND F FACTORS OF THE V = TO V = 1 TRANSITIO S OF HF TEMPERATURE = 273.3 DFG. K R BRANCH P BRANCH J S(J) F(J) S(J) F(J) 4.31094E 01 9.46725E-01 1 6.62841E 01 8.95215E-01 3.79126E 01 1.055J7E 00 2 6.14706E 01 8.45445E-01 5.12655E 01 1.11195E 00 3 4.07697E 01 7.973P9E-01 4.18744E 1 1. 769E 00 4 2.04108E 01 7.51021E-01 2.44793E l1 1.23129E 00 5 7.90625E 00 7.06315E-01 1.0818OE 01 1.29379E O0 6 2.40270E 00 6.63245E-01 3.7L587E 00 1.35822E 03 7 5.79073E-01 6.21786E-01 9.98214E-01 1.42460,E D, 1.10839E-01 5.81913-!1 2.13423E -01 1.4929)7E 9 1.70269E-02 5.43602E-1l 3.64738E-02 1.56334E 0:' 10 2.10527E-03 5.06826-01 1 5. 21088E-03 1.63575E 0 11 2.13398E-04 4.71561 E-31 5.56163E-04 1.71 ]22E D0 12 1.70637E-05 4.37783E-01 5.01003E-C5 1.78678E 00 13 1.12748E-06 4.05467E-01 3.67907E-06 1.865470 00 14 6.09331E-08 3.745888E-01 2.21194E-07 1.94631 _ 00 15 2.70411E-09 3.45124E-01 1.39351E-08 2.C2932E 00 16 9.89400E-11 3.17050E-01 4.46465E-13 2.11454E 00 17 2.99696E-12 2.90341E-01 1.51217E-11 2.2-199E 00 18 7.54709E-14 2.64975E-21 4.26817E-13 2.29171E OC 19 1.58684E-15 2.4G927E —1 1,SO864[-14 2.38372E 00 20 2.79801E-17 2.18176E-01 2.00526E-16 2.478)5E 00 21 4.15602E-19 1.96696E-01 3.37337E-18 2.57474E CO 22 5.22388E-21 1.76466E-01 4.81333E-20 2.(7381E lE 23 5.58218E-23 1.57462E-1l 5.87116E-22 2.77529E 00 24 5.09488E-25 1.39663E-01 6.14909E-24 2.87921E 00 25 3.99042E-27 1.2304Z E-' 1 5.55987E-26 2.9856CE 00 26 2.69454E-29 1.C7585E-01 4.36406E-28 3.0945>C 00' 27 1.57595E-31 9.32621E-"'2 2.99052F-33 3.2?593E 3' 28 8.01958E-34 8.00539E-02 1.79948E-32 3.319'-)2E 00 29 3.56616E-36 6.79386E-02 9.56423E-35 3.4365CE 00 3u.00008E 00 5.68942E-02 4.51715E-37 3.55571E 00 31.0J0) E 00 4.68993E-02.3O00?E 03 3.67758E OC 32.0000E 00 3.79324E-02.00000E 03 3.80213E 00 33.0000O 00 2.99722E-02.C0003E 03 3.92941E 00 34.0O00E 00 2.29977E-02.00000E 03 4.05943E 00 35.OOOOOE 00 1.69879E-02.O0OOE 00 4.19223E 00 36 00000E 00 1.19220E-02.00000E 00 4.32785E 00 37 OO0000E 00 7.77933E-03.00OODE 00 4.46632E 00 38 OOOOOE 00 4.53950E-03.OOOODE 03 4.60766E 00 39.0000OE 00 2.18217E-03.0000E 00 4.75191E 00 40.0000E 00 6.87182E-04 000OE 00 4.89911E 00 41 OOOOOE 00 3.45416E-05.0000DE 00 5.04928E 00 42,0000OE 00 2.04410E-04.00000E 00 5.20246E 00 43.OOOOOE 00 1.17711E-03.O000E 00 5.35868E 00 44.0300E 00 2.93312E-03.O0000E 03 5.51798E 00 45 000OOE 00 5.45309E-03.0000E 00 5.68039E 00 46 00OOOE 00 8.71780E-03.00ODE 00 5.84593E 00 47.0000OE 00 1.27082E-02.0000E 03 6.01465E 00 48.000OOE 00 1.74055E-02.O0000E 03 6.18658E 00 49.00000E 00 2.27908E-02.O00O3E 00 6.36176E 00 50.000OE 00 2.88456E-02.000OE 00 6.54021E 00 SUM S(J) FOR R = 2,43061814E 02 SUM S(J) FOR P = 1.71329392E 02 67

WILLOW RUN LABORATORIES STRENGTHS AND F FACTORS OF THE V = C TO V = 1 TRANSITIONS OF HF TEMPERATURE = 373.3 DEG. K R BRANCH P BRANCH J S(I) F(J) S(J) F(J) 0 2.33161E 01 9.46725E-01 1 3.79903E 01 8.95215E-01 2.17294E 01 1.05507E 00 2 3.95604E 01 8.45445E-01 3.30056E 01 1.11195E 00 3 3.12138E 01 7.97389E-01 3.20596E 01 1.17069E 00 4 1.96916E 01 7.51021E-01 2.36166E 01 1.23129E 00 5 1.01782E 01 7.06315E-01 1.39266E 01 1.29379E 00 6 4.36912~ 00 6.63245E-01 6.73883E 00 1.35822E 03 7 1.57109E 00 6.21786E-01 2.71295F 00 1.42460E 00 8 4.76159E-01 5.81913E-01 9.16858E-01 1.49297E 30 9 1.22211E-01 5.43602E-01 2.61792E-01 1.56334E OC 10 2.66686E-02 5.06826E-01 6.34753E-02 1.63575E 00 11 4.96533E-03 4.71561E-01 1.31253E-02 1.71022E 00 12 7.91350E-04 4.37783E-01 2.32346E-03 1.78678E 00 13 1.08296E-04 4.05467E-01 3.53380E-04 1.86547E 00 14 1.27645E-05 3.74588E-01 4.63364E-05 1.94631E 00 15 1.29973E-06 3.45124E-01 5.25594F-06 2.02932E 00 16 1.14679E-07 3.17050E-01 5.17482E-07 2.11454E 00 17 8.79474E-09 2.90341E-C1 4.43751E-08 2.20199E 00 1J 5.88065E-10 2.64975E-01 3.32570E-09 2.29171E 00 19 3.43919E-11 2.40927E-01 2.18604E-13 2.38372E 00 20 1.76485E-12 2.18176E-01 1.26480E-11 2.47805E 00 21 7.97231E-14 1.9669bE-01 6.46512E-13 2.57474E 00 22 3.18058E-15 1.76466E-01 2.93055E-14 2.67381E 00 23 1.12435E-16 1.57462E-01 1.18253E-15 2.77529E 00 24 3.53348E-18 1.39663E-01 4.26448E-17 2.87921E OC 25 9.90440E-20 1.23044E-01 1.37993E-18 2.98560E 00 26 2.49416E-21 1.C7585E-01 4.C2311E-20 3.09450E 00 27 5.59266E-23 9.32621E-02 1.06119E-21 3.20593E 00 28 1.13357E-24 8.00539E-02 2.54336E-23 3.31992E 00 29 2.07435E-26 6.79386E-02 5.56268E-25 3.43650E OC 30 3.43553E-28 5.68942E-02 1.11517E-25 3.55571E 00 31 5.16017E-30 4.68993E-02 2.05845E-28 3.67758E 00 32 7.03851E-32 3.79324E-02 3.51452E-33 3.80213E 00 33 8.72137E-34 2.99722E-02 5.57627E-32 3.92941E 00 34 9.80458E-36 2.29977E-02 8.26112E-34 4.C5943[ 00 35.OOO30E 00 1.69879E-02 1.148286-35 4.19223E 00 36.OO0E 00 1.19220E-02.C0000E 03 4.32785E 00 37 00000E 00 7.77933E-03.OJOD3E 03 4.46632E 00 38.30OnDE 00 4.53950E-03.OOOOOE 03 4.60766E 00 39.03090E 00 2.18217E-03.0000E 00 4.75191E 00 40.3OOO0E 00 6.87182E-04.0030DE 03 4.89911E 00 41.00000E 00 3.45416E-05.00303E 03 5.04928E 00 42.0030E 00 2.04410E-04.00309E 03 5.20246E 00 43.000E0 00 1.17711E-03.OOOOOE 00 5.35868E 00 44.00000E 00 2.93312E-03.00300E 03 5.51798E 00 45.00000E 00 5.45309E-03.00030E 00 5.68339E 00 46.00OOE 00 8.71780E-03.00030E 03 5.84593E 00 47.030000 00 1.27082E-02.0000E 03 6.01465E 00 48.000OOE 00 1.74055E-02.30000E 00 6.18658E 00 49.000E 00 2.27908E-02.00003E 0D 6.36176E 00 50.0O000E 00 2.88456E-02.00003E 33 6.54021E 00 SUM S(J) FOR R = 1.68521407E 02 SUM S(J) FOR P = 1.35047543E 02 68

WILLOW RUN LABORATORIES STRENGTHS AND F FACTORS OF THE V = 0 TO V = 1 TRANSITIONS OF HF TEMPERATURE = 500.0 DEG. K R BRANCH P BRANCH J S(J) F(J) 5(J) F(J) v 1.30724E 01 9.46725E-01 1 2.21724E 01 8.95215E-01 1.26819E 01 1.05507E O0 2 2.50182E 01 8.45445E-C1 2.08727E 01 1.11195E 0! 3 2.22624E 01 7.97389E-01 2.28654E 01 1.17069E 00 4 1.64833E 01 7.51021E-01 1.97686E 01 1.23129E C00 5 1.04C38E 01 7.06315E-01 1.42352E 01 1.29379E GO 6 5.67279E 00 6.63245E-01 8.74941E 00 1.35822E 00 7 2.69445E 00 6.21786E-I1 4.65266E 00 1.42460E 00 h 1.12132E 00 5.81913E-01 2.15907E 00 1.49297E 00 9 4.10642E-01 5.43602E-01 8.79620E-01 1.56334E 00 1C 1.32805E-01 5.06826E-01 3.16084E-01 1.63575E 00 11 3.80451E-02 4.71561E-01 1.00563E-01 1.71022E 00 12 9.68063E-03 4.37783E-01 2.84215E-02 1.78678E 00 13 2.19349E-03 4.05467E-01 7.15709E-03 1.86547E 00 14 4.43662E-04 3.74588E-01 1.61042E-03 1.94631E 00 15 8.02950E-05 3.45124E-01 3.24673E-04 2.02932E O0 16 1.30336E-05 3.17050E-01 5.88072E-05 2.11454E 00 17 1.90194E-06 2.90341E-01 9.59531E-05 2.20199E 6C0 18 2.50097E-07 2.64975E-01 1.41417E-06 2.29171E OC 19 2.97044E-08 2.40927E-01 1.88775E-07 2.38372E 00 20 3.19423E-09 2.18176E-C1 2.28871E-08 2.47805E 00 21 3.11727E-10 1.96696E- 1 2.52731E-09 2.57474E 0C 22 2.76745E-11 1.76466E-j1 2.54915E-10 2.67381E 00 23 2.24033E-12 1.57462E-01 2.35542E-11 2.77529 O00 24 1.65762E-13 1.39663E-01 1.99971E-12 2.87921E 00 25 1.12357E-14 1.23044E-01 1.56464E-13 2.98560EO 3 26 6.99231E-16 1.07585E-01 1.13174E-14 3.09450E 00 27 4.00370E-17 9.32621E-02 7.59159E-16 3.20593E 00 28 2.11334E-18 8.00539E-02 4.73768E-17 3.31992E 00 29 1.03012E-19 6.79386E-02 2.75969E-18 3.43650E 00 30 4.64320E-21 5.68942E-02 1.50541E-19 3.55571E 00 31 1.93709E-22 4.68993E-02 7.71644E-21 3.67758, 00 32 7.48121E-24 3.79324E-02 3.72937E-22 3.80213E 00 33 2.67252E-25 2.99722E-02 1.70540E-23 3.92941E 00 34 8.80907E-27 2.29977E-02 7.40507E-25 4.05943 C00 35 2.66565E-28 1.69879E-02 3.06417E-26 4.19223E 00 36 7.33506E-30 1.19220E-02 1.21275E-27 4.32785E 00 37 1.80300E-31 7.77933E-03 4.60830E-29 4.46632E 00 38 3.82235E-33 4.53950E-03 1.68761E-30 4.60766E 00 39 6.46323E-35 2.18217E-03 5.97944E-32 4.75191E 00 40 6.95956E-37 6.87182E-04 2.05798E-33 4.89911E 0u 41.30000E 00 3.45416E-05 6.90855E-35 5.04928E 00 42.OOOOOE 00 2.04410E-04 2.27153E-36 5.20246 Of.0 43.00000E 00 1.17711E-03.00000 00 5.35868E 00 44.00000E 00 2.93312E-03.00303E 00 5.51798E 00 45.000OE 00 5.45309E-03.OOOOE 00 5.68039E 00 46.OOOOE 00 8.71780E-03.00000E 00 5.84593E 00 47.00000E 00 1.27082E-02.00000E 00 6.01465E 00 48.OOOOE 00 1.74055E-02.00000E 03 6.18658E 00 49.OOOOE 00 2.27908E-02.00000E 03 6.36176E 00 50.00000E 00 2.88456E-02.000E 03 6.54021E 00 SUM S(J) FOR R = 1.19494811E 02 SUM S(J) FOR P = 1.07318822E 02 69

WILLOW RUN LABORATORIES STRENGTHS AND F FACTORS OF THE V = 0 TO V = 1 TRANSITIONS OF HF TEMPERATURE = 1330.3 DEG. K R BRANCH P BRANCH J S(J) F(J) S(J) F(J) 0 3.26718E 00 9.46725E-01 1 5.Q8021E 00 8.95215E-01 3.36143E 03 1.055:7E O0 2 7.46878E 00 8.45445E-01 6.2254-3E 03 1.11195E 00 3 7.93536E 00 7.97389E-01 8.13960E 00 1.17069E 00 4 7.43934E O0 7.51021E-01 8.90685E OD 1.23129E 00 5 6.30300E 30 7.06315E-01 8.60593E 00 1.29379E 00 6 4.88904E 00 6.63245E-01 7.52140E 00 1.35822E 00 7 3.49940E 00 6.21786E-01 6.02451E 03 1.4246CE 00 8 2.32354E 00 5.81913E-01 4.45839E 03 1.49297E 00 9 1.43662E 00 5.436u2E-01 3.06509E 3D 1.56334E 00 13? 8.29519E-01 5.06826E-01 1.96539E 00 1.63575E 00 11 4.48351E-01 4.71561E-01 1.17907E 03 1.71022E 00 12 2.27284E-01 4.377e3E-01 6.63470E-C1 1.78678E 00 13 1.08249E-01 4.05467E-01 3.50944E-01 1.86547E 00 14 4.85125E-02 3.7458PE-01 1.74837E-01 1.94631E 00 15 2.04870E-02 3.45124E-01 8.21834E-02 2.02932E 00 16 8.16353E-03 3.17050E-01 3.65104E-02 2.11454E 00 17 3.07335E-03 2.9C341E-01 1.53545E-02 2.20199E 00 18 1.09449E-C3 2.64975E-01 6.12239E-03 2.29171E 00 19 3.69141r-04 2.4i927E-01 2.31817E-03 2.38372E 00 20 1.18047E-04 2.18176E-01 P.34791E-04 2.47805E 00 21 3.58331E-05 1.96696E —01 2.86341E-04 2.57474E 00 22 1.03357E-05 1.76466E-01 9.36989E-05 2.67381E 00 23 2.83570E-06 1.57462E-01 2.92957E-05 2.77529E 00 24 7.40727E-07 1.39663E-01 8.76533E-05 2.87921E 00 25 1.84376E-07 1.23344E-01 2.51373F-06 2.98560E 00 26 4.37645E-08 1.07585E-01 6.92064E-07 3.09450E 00 27 9.91219E-09 9.32621E-02 1.83212E-07 3.20593E 00 28 2.14299E-09 8.00539E-)2 4.67148E-08 3.31992E 00 29 4.42309E-10 6.79386E-02 1.14912E-08 3.43650E 00 30 8.71337E-11 5.68942E-02 2.73160E-09 3.55571E 00 31 1.63709E-11 4.68993E-02 6.2856DE-13 3.67758E 00 32 2.92913E-12 3.79324E-02 1.40251E-13 3.83213E 00 33 4.97824E-13 2.99722E-32 3.03982E-11 3.92941E 00 34 8.00299E-14 2.29977E-02 6.41133E-12 4.05943E 00 35 1.20863E-14 1.69879E-02 1.31821E-12 4.19223E 00 36 1.69539E-15 1.1922CE-02 2.64697F-13 4.32785E 00 37 2.16587E-16 7.77933E-03 5.20056E-14 4.46632E 00 38 2.42829E-17 4.53950E-03 1.00163E-14 4.60766E 30 39 2.20533E-18 2.18217E-03 1.89479E-15 4.75191E 00 40 1.29272E-19 6.87182E-04 3.52747E-15 4.89911E 00 41 1.19417E-21 3.45416E-05 6.47573E-17 5.04928E 00 42 1.28493E-21 2.04410E-04 1.17472E-17 5.20246E 00 43 1.33394E-21 1.17711E-03 2.11023E-18 5.35868E 00 44 5.95448E-22 2.93312E-03 3.76186E-19 5.51798E 00 45 1.97513E-22 5.45309E-03 6.6704RE-23 5.68039E 00 46 5.62429E-23 8.71780E-03 1.17924E-23 5.84593E 00 47 1.46143E-23 1.27082E-02 2.0R351E-21 6.01465E 00 48 3.57961E-24 1.74055E-02 3.68845E-22 6.18658E 00 49 8.43206E-25 2.2790FE-02 6.55993E-23 6.36176E 00 50 1.93658E-25 2.88456E-02 1.17538E-23 6.54021E 00 SUM S(J) FOR R = 5.21377420E 31 SUM SIJ) FOR P = 6.07860881E 01 70

WILLOW RUN LABORATORIES STRENGTHS AND F FACTORS OF THE V = D TO V = 1 TRANSITIONS OF HF TEMPERATURE = 1500.0 DEG. K R BRANCH P BRANCH J S(J) F(J) S(J) F(J) 0 1.39649E 00 9.46725E-01 1 2.56501E 00 8.95215E-01 1.46335E 00 1.05507E 00 2 3.39086E O0 8.45445E-01 2.81694E 03 1.11195E 00 3 3.82389E 00 7.97389E-01 3.90392E 03 1.17069E 00 4 3.880CO0 00 7.51021E-01 4.61727E 00 1.23129E c0 5 3.62782E 00 7.06315E-01 4.91647E 00 1.29379E 00 6 3.16600E 00 6.63245E-01 4.82752E 00 1.35822E 00 7 2.59894E 00 6.21786E-01 4.42823E 03 1.42460E 00 9 2.01708E 00 5.81913E-01 3.82479E 00 1.49297E O0 9 1.48545F 00 5.436C2E-01 3.12714E 03 1.56334E 00 10 1.04080E 00 5.06826E-01 2.42933E 03 1.63575E 00 11 6.95281E-01 4.71561E-01 1.79832E 03 1.71022E GO 12 4.43590E-01 4.37783E-01 1.27139E 03 1.78678E 00 13 2.70679E-01 4.05467E-01 8.60097E-01 1.86547E 00 14 1.58169E-01 3.74588E-01 5.57677E-01 1.94631E 00 15 8.86060E-02 3.45124E-01 3.47373E-01 2.02932E 00 16 4.76340E-02 3.17950E-01 2.07607E-01 2.11454E 0O 17 2.45971E-02 2.90341E-01 1.19507E-01 2.20199E 00 18 1.22106E-02 2.64975E-01 6.62813E-02 2.29171E 00 19 5.83206E-03 2.40927E-01 3.54595E-02 2.38372E 00 20 2.68202E-03 2.18176E-01 1.83195E-02 2.47805E 00 21 1.18838E-03 1.96696E —1 9.14986E-03 2.57474E 00 22 5.07665E-04 1.76466E-C1 4.42292E-03 2.61731E (0 23 2.09203E-04 1.57462E —1 2.07146E-03 2.77529E 00 24 8.32022E-05 1.39663E-01 9.40997F-04 2.87921f 09 25 3.19479E-05 1.23044E-01 4.15072E-04 2.985600 00 26 1.18467E-05 1.07585E-01 1.77975E-04 3.09450E 00 27 4.24272E-06 9.32621E-02 7.42535E-05 3.205930 00 28 1.46732[-06 8.00539E-02 3.01898E-05 3.31992E 00 29 4.89851E-07 6.79386E-02 1.19701E-05 3.43650E 00 30 1.57734E-07 5.68942E-02 4.63432E-06 3.55571E 00 31 4.89259E-08 4.68993E-02 1.75396E-05 3.67758E 00 32 1.45888E-08 3.79324E-02 6.49684E-07 3.86213E 00 33 4.16868E-09 2.99722E-02 2.35799E-07 3.92941E 00 34 1.13605E-09 2.29977E-02 8.39563E-08 4.05943E 00 35 2.93072E-10 1.69879E-02 2.93601E-08 4.19223E 00 36 7.07194E-11 1.19220E-02 1.00968E-08 4.32785E 30 37 1.56411E-11 7.77933E-03 3.41874E-09 4.46632E 00 38 3.05354E-12 4.53950E-C3 1.14117E-09 4.60766E 00 39 4.85354E-13 2.18217E-03 3.76006E-13 4.75191E 00 40 5.00146E-14 6.87182E-04 1.22451E-13 4.89911E 00 41 8.15253E-16 3.45416E-05 3.94667E-11 5.04928E 00 42 1.55257E-15 2.04410E-04 1.26066E-11 5.20246E 00 43 2.85926E-15 1.17711E-03 3.99641E-12 5.35868E 00 44 2.26765E-15 2.93312E-03 1.25915E-12 5.51798E 00 45 1.33744E-15 5.45309E-C3 3.94882E-13 5.68039E 00 46 6.77124E-16 8.71780E-03 1.23458E-13 5.84593E 00 47 3.12544E-16 1.27082E-02 3.85413E-14 6.01465E 00 48 1.35746E-16 1.74055E-02 1.20345E-14 6.18658E 00 49 5.65472E-17 2.27908E-02 3.76524E-15 6.36176E 00 5L 2.28824E-17 2.88456E-02 1.18258E-15 6.54021E 00 SUM S(J) FOR R = 3.07436502E 31 SUM S(J) FOR P = 4.16540027E 91 71

WILLOW RUN LABORATORIES STRENGTHS AND F FACTORS OF THE V = 0 TO V = 1 TRANSITIONS OF HF TEMPERATURE = 2000.0 DEG. K R BRANCH P BRANCH J S(J) F(J) S(J) F(J) 0 7.27302E-01 9.46725E-01 1 1.35021E 00 8.95215E-01 7.68301E-01 1.C55C7E 00 2 1.82186E 00 8.45445E-01 1.50692E 00 1.11195[ 00 3 2.11760E 00 7.97389E-01 2.14876E 0D 1.17069E 00 4 2.23632E 00 7.51021E-01 2.64039E 00 1.23129E OC 5 2.19745E 00 7.06315E-01 2.94942E 00 1.29379E 00 6 2.03488E CO 6.63245E-01 3.06749E 00 1.35822E (O 7 1.78950E 00 6.2178fE-01.C00890F 00 1.42460E 00 8 1.50203E 00 5.81913E-01 2.80550E 00 1.49297E 00 9 1.20756E 00 5.43602E-01 2.49942E 00 1.56334E 00 10 9.32274E-01 5.06826E-01 2.13542E 03 1.63575E O0 11 6.92534E-01 4.71561E-01 1.75443E 00 1.71022E OC 12 4.95779E-01 4.37783E-C1 1.38908E 00 1.78678E 00 13 3.42492E-01 4.05467E-01 1.06175E 00 1.86547E O0 14 2.28562E-01 3.74588E-01 7.84638E-01 1.94631E 00 15 1.47490E-01 3.45124E-01 5.61344E-01 2.02932E 00 16 9.21063E-02 3.1705CE-01 3.89236E-01 2.11454E 00 17 5.57071E-02 2.90341E-01 2.61871E-01 2.2u199E 00 18 3.26524E-02 2.64975E-01 1.71114E-01 2.29171E 00 19 1.85595E-02 2.40927E-01 1.08700E-01 2.38372E 00 20 1.02353E-02 2.18176E-01 6.71915E-02 2.47805E 00 21 5.47922E-03 1.96696E-01 4.04511E-C2 2.57474E 00 22 2.84842E-03 1.76466E-01 2.37389E-02 2.673 1E 00 23 1.43847E-03 1.57462E-01 1.35920E-02 2.77529E 03 24 7.05849E-04 1.39663E-01 7.59921E-03 2.87921E 00 25 3.36588E-04 1.23044E-01 4.15231E-03 2.98560E 00 26 1.55977E-04 1.075E5E-01 2.21932E-03 3.9,450t 00 27 7.02312E-05 9.32621E-02 1.16125E-03 3.20593E 00 28 3.07142E-05 8.00539E-02 5.95371E-04 3.31992E 00 29 1.30376E-05 6.79386E-02 2.99346E-04 3.43650E 00 30 5.36597E-06 5.68942E-02 1.47727E-04 3.55571E 00 31 2.13798E-06 4.66993E-02 7.16189E-05 3.67758E 00 32 8.22719E-07 3.79324E-02 3.41394E-05 3.80213E 00 33 3.04722E-07 2.99722E-02 1.60151E-05 3.92941E 00 34 1.08081E-07 2.29977E-02 7.40D10E-05 4.05943E 00 35 3.64264E-08 1.69879E-02 3.37199E-06 4.19223E 00 36 1.15234E-08 1.19220E-02 1.51539E-06 4.32785E 00 37 3.35185E-09 7.77933E-03 6.72831E-07 4.46632E 00 38 8.63041E-10 4.53950E-03 2.95338E-07 4.60766E 00 39 1.81379E-10 2.18217E-03 1.28286E-07 4.75191E 00 40 2.47667E-11 6.87182E-04 5.51966E-08 4.89911E 00 41 5.35922E-13 3.45416E-05 2.35476E-08 5.04928E 00 42 1.35686E-12 2.04410E-04 9.97077E-09 5.20246E 00 43 3.32579E-12 1.17711E-03 4.19479E-09 5.35868E 00 44 3.51306E-12 2.93312E-03 1.75534E-09 5.51798E 00 45 2.76053E-12 5.45309E-03 7.31416E-10 5.68039E 00 46 1.86192E-12 8.71780E-03 3.03826E-13 5.84593E 30 47 1.14435E-12 1.27382E-02 1.25970E-13 6.01465E 00 48 6.61173E-13 1.74055E-02 5.21958E-11 6.18658E 00 49 3.65865E-13 2.27908E-02 2.16426E-11 6.36176E 00 50 1.96294E-13 2.88456E-02 8.99289E-12 6.54021E 00 SUM S(J) FOR R = 2.00441957E 01 SUM S(J) FOR P = 3.01739714E 01 72

WILLOW RUN LABORATORIES STRENGTHS AND F FACTORS OF THE V = 0 TO V = 1 TRANSITIONS OF HF TEMPERATURE = 2500.0 DEG. K R BRANCH P BRANCH J S(J) F(J) S(J) F(J) 0 4.20517E-01 9.46725E-01 1 7.85933E-01 8.95215E-01 4.46087E-01 1.055_7E 00 2 1.07389E 00 8.45445E-01 8.9452DE-01 1.11195E 00 3 1.27141E 00 7.97389E-0l 1.28254E CO 1.17069E 00 4 1.37565E 00 7.51021E-01 1.61194E 00 1.23129E OC 5 1.39297E 00 7.06315r-01 1.85238E 00 1.29379E ^0 b 1.33695E 00 6.63245E-01 1.99337E 00 1.35822E 07 7 1.22558E 00 6.21786E-01 2.03473E 00 1.42460E 00 1.07R43E 00 5.81913E-01 1.98546E 00 1.49297E 00'9 9.14024E-01 5.436C 2E-01 1.86155E 00 1.56334E 0, 12 7.49064E-01 5.06826E-01 1.68310E 00 1.63575E.0 11 5.92330E-01 4.71561E-01 1.47139E 09 1.71022E 00 12 4.54449E-01 4.37783E-01 1.24632E 00 1.78678E 00 13 3.38246E-01 4.05467E-01 1.02456E 03 1.96547E O0 14 2.4440-E-01 3.74588E-01 8.18579E-01 1.94631E 0' 15 1.71747E-01 3.45124E-01 6.36391E-01 2.02932E 00 16 1.17352E-01 3.17050E-01 4.81938E-01 2.11454E 00 17 7.80419E-02 2.90341E-01 3.55863[-01 2.20199E 00 19 5.05406E-02 2.64975E-01 2.56441E-01 2.29171E!C 19 3.18890E-02 2.40927E-01 1.80496E-01 2.38372E OC 20 1.96115E-02 2.18176E-01 1.24187E-01 2.47805E 00 21 1.17599E-02 1.96696E-01 8.35873E-02 2.57474E 0) 22 6.97757E-03 1.76466E-01 5.50794E-02 2.67381E 0" 23 3.923b8E-03 1.57462E-01 3.55583E-02 2.77529E 00 24 2.18387E-03 1.39663E-01 2.25065E-02 2.87921E 00 25 1.18584E-03 1.23344E —01 1.39765E-02 2.98560E C0 26 6.28106E-04 1.07585E-01 8.52165E-03 3.0945CE )0 27 3.24420E-04 9.32621E-02 5.10488E-03 3.20593E iu 28 1.63312E-04 8.00539E-02 3.0C673E-03 3.31992E 00 29 R.00576E-05 6.79386E-02 1.74241E-03 3.4365'2E 00 3i 3.81712E-05 5.68942E-02 9.94176E-04 3.55571E 00 31 1.76709E-05 4.68993E-02 5.58907E-04 3.67758E 00 32 7.92285E-06 3.79324E-02 3.09804E-04 3.80213E 00 33 3.42801E-06 2.99722E-02 1.69443E-04 3.92941. 00 34 1.42381E-06 2.29977E-02 9.15341E-05 4.05943E 00 35 5.63202E-07 1.69879E-02 4.88285E-05 4.19223E 00 36 2.09542E-07 1.19220E-02 2.57652E-05 4.32785E 00 37 7.18179E-08 7.77933E-03 1.34538E-05 4.46632E 00 38 2.18257E-08 4.53950E-03 6.95712E-06 4.60766E 00 39 5.42198E-09 2.18217E-03 3.56552E-06 4.75191E 00 40 8.76260E-10 6.87182E-04 1.81243E-06 4.89911E 00 41 2.24660E-11 3.45416E-05 9.14509E-07 5.04928E 00 42 6.74518E-11 2.04410E-04 4.58412E-07 5.2C246E 00 43 1.96184E-10 1.17711E-03 2.28469E-07 5.35868E 00 44 2.46004E-10 2.93312E-33 1.13311E-07 5.51798E f0 45 2.29516E-10 5.453C9E-03 5.59733E-08 5.68039E 00 46 1.83786E-10 8.71780E-03 2.75645E-08 5.84593E 00 47 1.3.4059E-10 1.27082E-02 1.35456E-08 6.01465E 00 48 9.18716E-11 1.74055E-02 6.64911E-09 6.18658E 00 49 6.02466E-11 2.27909E-32 3.26367E-09 6.36176E 00 50 3.82609E-11 2.88456E-02 1.60366E-09 6.54C21E 00 SUM S(J) FOR R = 1.37492979E 01 SUM S(J) FOR P = 2.24631393E 01 73

WILLOW RUN LABORATORIES STRENGTHS AND F FACTORS OF THE V = 0 TO V = 1 TRANSITIONS OF HF TEMPERATURE = 3000. DEG. K R BRANCH P BRANCH J S(J) F(J) S(J) F(J) 0 2.60404E-01 9.46725E-01 I 4.89952E-01 8.95215E-01 2.76909E-01 1.t55:7E J0 2 6.73829E-01 8.45445E-01 5.52962E-01 1.11195E 00 3 8.07756E-01 7.97389E-31 3.13621E-01 1.17u69E 00 4 8.88354E-01 7.51021E-01 1.03404E 00 1.23129E 00 5 9.17869E-01 7.06315E-01 1.21D73F 03 1.29379E 00 6 9.02355E-01 6.63245E-?1 1.33253F 00 1.35822E 00 7 8.50518E-01 6.21786E-01 1.39645E 00 1.42460E 00 8 7.72408E-01 5.81913E-01 1.40427E 03 1.49297E CO 9 6.78192E-01 5.43602E-01 1.36193E u3 1.56334E 33 10 5.77130E-01 5.06826E-01 1.27845E 30 1.63575E 03 11 4.76894E-01 4.71561E-01 1.16460E 00 1.71022E 00 12 3.83202E-01 4.37783E-01 1.03163E 03 1.76678E 0: 13 2.99774E-G1 4.05467E-01 8.89992E-U1 1.86547E O0 14 2.28526E-01 3.74588E-01 7.48843E-01 1.94631E 03 15 1.69902E-01 3.45124E-01 6.15197E-01 2.02932E 00 16 1.23273E-01 3.17050E-01 4.93964E-01 2.11454E 00 17 8.73362E-02 2.90341E-01 3.87993E-01 2.20199E 00 18 6.04490E-02 2.64975E-01 2.98370E-01 2.29171E 00 19 4.08910E-02 2.40927E-01 2.24812E-01 2.38372E 00 20 2.70431E-02 2.18176E-01 1.66085E-I1 2.47805E 00 21 1.74901E-02 1.96696E-8,1 1.20388E-01 2.51474E O0! 22 1.1364 1-02 1.76466E-Cl 1. 56783E-02 2.67381E 03) 23 6.84658E-03 1.57462E-01 5.99056E-02 2.77529E 03 24 4.14448E-03 1.39663E-L1 4.11763E-02 2.87921E 0: 25 2.45392E-03 1.23044E-C 1 2.78407E-02 2.98560E 00 26 1.42r081E-03 1.07585E-01 1.85280E-02 3.n945nE 00 27 8.04121E-04 9.32021E-02 1.21438E-02 3.20593E 00 28 4.44562E-04 8.C0539E-02 7.84378E-03 3.31v92[ 02 29 2.39865E-04 6.79386E —2 4.99569E-03 3.4365CE GO 3 1.26138E-04 5.68942E-02 3.13925E-03 3.55571E 00 31 6.45307E-05 4.68993E-02 1.94749F-03 3.67758E 0' 32 3.20324E-05 3.79324E-C2 1.19346E-03 3.P0213E 00 33 1.53710E-05 2.99722E-02 7.22902E-04 3.92941E O3 34 7.09191E-06 2.29977E-02 4.33067E-04 4.r5943E 00 35 3.12087E-06 1.69879E-02 2.56743E-04 4.19223E 00 36 1.29353E-06 1.19228E-02 1.50722E-34 4.32725E 30 37 4.94503E-07 7.77933E-C3 8.76707E-;55 4.46632E 38 1.67811E-07 4.53950E-03 5.05600E-05 4.60766E 00 39 4.65965E-08 2.18217E-03 2.89274E-05 4.75191E 00 40 8.42437E-09 6.37182E-04 1.64301E-05 4~89911E 00.41 2.41795E-1C 3.45416E-05 9.27017E-06 5.C4928E OC 42 8.13157E-10 2.04410E-04 5.19927F-06 5.20246E 00 43 2.65023E-09 1.17711E-03 2.9C071E-05 5.35868E CC 44 3.72493E-09 2.93312E-03 1.61095-E- 0 5.51798E 00 45 3.89572E-09 5.4539E-0'3 8.91244E-07 5.68039E 00 46 3.49671E-09 8.71780E-013 4.91562E-07 5.84593E 00 47 2.85835E-09 1.27082E-02 2.70505E-07 6.01465L 00 48 2.19428E-09 1.74055E-02 1.48645E-07 6.18658E 00 49 1.61093E-09 2.27908E-02 8.16369-308 6.36176E 00 50 1.14443E-09 2.88456E-C2 4.48530E-08 6.54021E 00 SUM S(J) FOR R = 9.76021349E 0O SUM S(J) FOR P = 1.70668420E 01 74

WILLOW RUN LABORATORIES STRENGTHS AND F FACTORS OF THE V = 0 TO V = 1 TRANSITIONS OF HF TEMPERATURE = 3500.3 DEG. K R BRANCH P BRANCH J S(J) F(J) S(J) F(J) 3 1.69620E-01 9.46725E-01 1 3.19579E-01 8.95215E-01 1.80646E-01 1.05507 3C 2 4.43153E-01 8.45445E-01 3.62519E-01 1.11195E 00 3 5.36021E-01 7.97389E-01 5.35555E-01 1.17069E OC 4 5.96466E-01 7.51021E-01 6.90359E-01 1.23129E jl 5 6.25278E-01 7.06315E-01 8.19066E-01 1.29379E 00 6 6.25388E-01 6.63245E-01 9.15994E-01 1.358226 00 7 6.01332E-01 6.21786E-01 9.78038E-01 1.42460E O0 8 5.58604E-01 5.81913E-'1 1.00476E 00 1.49297E 0u 9 5.03027E-01 5.43602.E-01 9.98165E-01 1.56334E J ^ lo 4.40188E-01 5.06826E-01 9.62303E-01 1.63575E 30 11 3.75008E-01 4.71561E-01 9.02639E-01 1.71G22E 00 12 3.11466E-01 4.37783E-01 8.25413E-01 1.78678E 00 13 2.52487E-01 4.05467E-01 7.37002E-01 1.86547E 0D 14 1.99949E-01 3.74588E-01 6.43382E-01 1.94631E 00 15 1.54801E-01 3.45124E-01 5.49730E-01 2.02932E 03 1b 1.17240E-01 3.1705_3E-01 4.60177E-01 2.11454E 30 17 8.69054E-02 2.90341E-01 3.77714E-01 2.2S199[ r, 18 6.30779E-02 2.64975E-31 3.04226E-01 2.29171E -3 19 4.48454E-02 2.40927E-01 2.40621E-01 2.38372E 03 20 3.12386E-02 2.18176E-01 1.87308F-01 2.47e05E'0 21 2.13248E-02 1.96696E-01 1.42905E-01 2.57474E 00 22 1.42677E-02 1.76466E-01 1.07439E-01 2.67381E 00 23 9.35663E-03 1.57462E-01 7.95145E-02 2.77529 - 24 6.01385E-03 1.39663E-01 5.79629E-02 2.p7921E 03 25 3.78774E-03 1.23044E-"1 4.16400E-02 2.9856CE 00 26 2.33704E-03 1.37585E-01 2.94961E-02 3.09450E 00 27 1.41187E-03 9.32521E-02 2.06130E-02 3.20593E 30 22 8.34565E-04 8.00539E-02 1.42191E-02 3.31992E 0J 29 4.82193E-04 6.79386E-02 9.68691E-03 3.43650E 00 30 2.71936E-04 5,68942E-32 6.52084E-03 3.55571E 00 31 1.49403E-04 4.68993E-02 4.33968E-03 3.67758E 00 32 7.97488E-05 3.79324E-02 2.85673E-03 3.80213E 00 33 4.12015E-05 2.99722E-02 1.86109E-03 3.92941E 00 34 2.04903E-05 2.29977E-02 1.20054E-03 4.05943E 00 35 9.72956E-06 1.69879E-02 7.67228E-04 4.19223E 00 36 4.35562E-06 1.19220E-02 4.86003E-04 4.32785E 00 37 1.80004E-06 7.77933E-03 3.05318F-04 4.46632E 00 30 6.60869E-07 4.53950E-03 1.90325E-04 4.63766E 00 39 1.98669E-07 2.18217E-03 1.17790E-04 4.75191E 00 4, 3.89097E-08 6.87182E-04 7.24143E-05 4.89911E 00 41 1.21039E-09 3.45416E-05 4.42477E-05 5.04928E 00 42 4.41352E-09 2.04410E-04 2.68879E-05 5.20246E 03 43 1.56010E-08 1.17711E-03 1.62584E-05 5.35868E 30 44 2.37861E-08 2.93312E-03 9.78852E-06 5.51798E 00 45 2.69872E-08 5.45309E-03 5.87148E-06 5.68039E 00 46 2.62770E-08 8.7178CE-03 3.51117E-06 5.84593E 90 47 2.32970E-08 1.27082E-02 2.09472E-05 6.01465E 00 42 1.93918E-08 1.74055E-02 1.24761E-05 6.18658E 00 49 1.54296E-08 2.27908E-02 7.42411E-07 6.36176E 30 50 1.18732E-08 2.88456E-02 4.41741E-07 6.54021E 00 SUM S(J) FOR R = 7.11606830E 30 SUM S(J) FOR P = 1.31976172E 31 75

WILLOW RUN LABORATORIES STRENGTHS AND F FACTORS CF THE V = 3 TO V = I TRANSITIONS OF HF TEMPERATURE = 4000. PEG. K R BRANCH P BRANCH J S(J) F(J) S(J) F(J) 0 1.14960E-01 9.46725E-01 1 2.17163E-01 8.95215E-01 1.2255RE-01 1.r5507F 00 2 3.02556E-01 8.45445E-01 2.46844F-01 1.11195b 0, 3 3.68451E-01 7.97389E-01 3.66757E-01 1.17G69L 00 4 4.13647E-01 7.51021E-01 4.76467F-01 1.23129E 3r 5 4.38388E-01 7.06315E-01 5.70894F-01 1.29379E0 0 6 4.44187E-01 6.63245E-01 6.46098E-01 1.35822E 00 7 4.33554E-01 6.21786E-01 6.99542E-01 1.4246GE C0 3 4.09657F-01 5.81913E-01 7.30208E-01 1.49297E G 9 3.75977E-01 5.436C2E-01 7.38556E-01 1.56334E )O 10 3.35983E-01 5.068260-01 7.26349E-01 1.63575[ r0 11 2.92869E-01 4.71561E-ul 6.96380E-01 1.71'22C )C 12 2.49362E-01 4.37783E-01 6.52134E-C1 1.78678E 0r 13 2.07618E-01 4.05467E-01 5.97433F-01 l.Ptj47E O0 14 1.69183E-01 3.74588E-01 5.3611OE-01 1.Q4631E 0 15 1.35026E-01 3.45124E-01 4.71728E-01 2.-2932E 0 16 1.05608E-01 3.17350E-01 4.07383E-01 2.11454E 0' 17 8.09858E-02 2.9C341E-01 3.45573E-01 2.20199E O3 18 6.09143E-02 2.64975E-01 2.88148E-01 2.29171E 00 19 4.49535E-02 2.40927E-01 2.36332E-01 2.38372E 00 20 3.2557-E-02 2.18176E-01 1.90777F-01 2.478b5E 00 21 2.31437E-02 1.96696E-01 1.51664E-01 2.57474F 00 22 1.61495E-02 1.76466E-1 1.18804E-01 2.67381E 00 23 1.10618E-02 1.57462E-01 9.17486E-02 2.77529E 00 24 7.43669E-03 1.39663E-01 6.98898E-02 2.87921E 00 25 4.906i00E-03 1.23044C-01 5.25399E-02 2.98560E 0, 26 3.17476E-03 1.07585E-01 3.89978E-02 3.r945GE On 27 2.01414E-03 9.32621E-02 2.85939F-02.2 3.20593E 0r28 1.25179E-03 8.0 539E-02 2.37203F-02 3.319%92t 00, 29 7.61333E-04 6.79386E —2 1.4846F0-02 3.436bE 0,3 30 4.52462E-04 5.68942E-02 1.05224E-02 3.55571E Of 31 2.62232F-04 4.68993E-02 7.38103E-03 3.6775PE 00 32 1.47805E-04 3.79324E-02 5.12539E-03 3.80213E 00 33 8.07077E-05 2.99722E-02 3.52696E-03 3.92941E 00 34 4.24580E-05 2.29977E-02 2.40483E-03 4.05943E 00 35 2.13431E-05 1.69879E-02 1.62577C-03 4.19223E 00 36 1.01224E-05 1.1922nE-02 1.09025E-03 4.32785E 00 37 4.43474E-06 7.77933E-03 7.25592E-04 4.46632E 09 38 1.72707E-06 4.53950E-03 4.79465E-04 4.60766E ri0 39 5.51011E-07 2.18217E-03 3.14722E-04 4.75191E 00 40 1.14582E-07 6.87182E-04 2.05310F-04 4.89911E 00 41 3.78592E-09 3.45416E-05 1.33175E-04 5.n4928E 00 42 1.46672E-08 2.0441CE-04 8.59363E-05 5.20246E 00 43 5.50963E-08 1.17711E-03 5.51947E-05 5.35868E 00 44 8.92812E-38 2.93312E-03 3.53032E-05 5.51798E 00 45 1.07667E-07 5.45309E-03 2.2499DE-05 5.68039C 00 46 1.11421E-07 8.71780E-03 1.42953E-05 5.84593E 00 47 1.04980E-07 1.27082E-02 9.06264E-05 6.01465E 00 48 9.28404E-08 1.74055E-02 5.73237E-06 6.18638E 30 49 7.84592E-08 2.279CPE-02 3.62247E-06 6.36176E 00 50 6.40975E-08 2.88456E-02 2.28812E-06 6.54021E 00 SUM S(J) FOR R = 5.30452394E 00 SUM S(J) FOR P = 1.)3678441E 01 76

WILLOW RUN LABORATORIES STRENGTHS AND F FACTORS OF THE V = 0 TO V = 1 TRANSITIONS OF HF TEMPERATURE = 4500.0 DEG. K R BRANCH P BRANCH J S(J) F(J) S(J) F(J) 0 8.04747E-02 9.46725E-01 1 1.52336E-01 8.95215E-01 8.58547E-02 1.C55C7E 00 2 2.13023E-G1 8.45445E-C1 1.73403E-01 1.11195E 00 3 2.60800E-01 7.973P9E-01 2.5S777E-01 1.17069E 00 4 2.94825E-01 7.51021E-01 3.38215E-01 1.23129E 00 5 3.15133E-01 7.06315E-01 4.08341E-01 1.29379E 00 6 3.22547E-01 6.63245E-01 4.66409E-01 1.35822E 00 7 3.18528E-01 6.21796E-Q1 5.10469E-01 1.42460E 00 8 3.04988E-01 5.81913E-(1 5.39474E-01 1.49297E 00 9 2.84088E-01 5.436-2E-01 5.53286E-01 1.56334E 00 10 2.58050E-01 5.06826E-01 5.52612E-01 1.63575E 00 11 2.29987E-01 4.71561E-Cl 5.38875E-01 1.71022E n0 12 1.98777E-01 4.37783E-01 5.14D38E-01 1.78678E 00 13 1.68980E-01 4.05467E-01 4.80400E-01 1.86547E 00 14 1.40795E-01 3.74588E- 1 4.40404E-01 1.94631E 00 15 1.15060E-01 3.45124E-01 3.96452E-01 2.C2932E Or 16 9.22742E-02 3.1705CE-C1 3.50759E-01 2.11454E D0 17 7.26536E-02 2.9u341E-01 3.C5242E-01 2.20199E 00 18 5.61837E-02 2.64975E-01 2.61457E-01 2.29171E O' l' 4.26834E-02 2.40927E-01 2.20572E-Vl 2.38372E 0n 20 3.18634E-02 2.18176E-01 1.83379E-01 2.47805E 00 21 2.33756E-02 1.96696E-01 1.50327E-01 2.57474E 00 22 1.68534E-02 1.76466E-C1 1.21573E-01 2.67381E 00 23 1.19412E-02 1.57462E-01 9.70425E-02 2.77529E 00 24 8.31353E-03 1.39663E-01 7.64927E-02 2.87921E 30 25 5.68564E-03 1.23344E-01 5.95676E-02 2.98560E 00 26 3.81816E-03 1.07585E-01 4.58480E-02 3.09450E 00 27 2.51626E-03 9.32621E-02 3.48949E-02 3.2C593E 00 28 1.62603E-03 8.00539E-02 2.62726E-02 3.31992E 00 29 1.02918E-03 6.79386E-02 1.95764E-02 3.43650E 00 30 6.37075E-04 5.68942E-02 1.44422E-02 3.55571E 00 31 3.84892E-04 4.68993E-02 1.05533E-02 3.67758E 00 32 2.26316E-04 3.79324E-02 7.64147E-03 3.80213E 00 33 1.29011E-04 2.99722E-02 5.48499E-03 3.92941E 00 34 7.08993E-05 2.29977E-02 3.90451E-03 4.05943E OC 35 3.72545E-05 1.69879E-02 2.75756E-03 4.19223E 03 36 1.84793E-05 1.19220E-02 1.93300E-03 4.32785E 00 37 8.47177E-06 7.77933E-03 1.34545E-03 44-6632E OC 38 3.45396E-06 4.53950E-03 9.30273E-04 4.60766E 00 39 1.15410E-06 2.18217E-03 6.39214E-04 4.75191E 00 40 2.51433E-07 6.87182E-G4 4.36675E-04 4.89911E 00 41 8.70617E-09 3.45416E-05 2.96712E-04 5.04928E O0 42 3.53549E-08 2.04410E-04 2.00618E-04 5.20246E 00 43 1.39234E-07 1.17711E-03 1.35038E-04 5.35868E 00 44 2.36562E-07 2.93312E-03 9.05318E-05 5.51798E 00 45 2.99120E-07 5.45309E-03 6.04799E-05 5.68039E C0 46 3.24560E-07 8.71780E-03 4.02815E-05 5.84593E 00 47 3.20591E-07 1.27082E-02 2.67616E-05 6.01465E Or 48 2.97181E-07 1.74055E-02 1.77448E-05 6.18658E 00 49 2.63183E-07 2.27908E-02 1.17500E-05 6.36176E 00 50 2.25235E-07 2.88456E-02 7.77476E-06 6.54021E 00 SUM S(J) FOR R = 4.02972639E 00 SUM S(J) FOR P = 8.26096773E 00 77

WILLOW RUN LABORATORIES STRENGTHS AND F FACTORS OF THE V = 0 TO V = 1 TRANSITIONS OF HF TEMPERATURE = 5000.0 DEG. K R BRANCH P BRANCH J S(J) FJ) (J) F(J) I 5.78763E-02 9.46725E-01 1 1.09743E-01 8.95215E-C1 6.17775F-02 1.r55C7E 0G 2 1.53920E-01 8.45445E- l1 1.25%49E-C1 1.11195E G 3 1.89248E- 1 7.97389E-C1 1.87269E-01 1.17069E 00 4 2.15130F-01 7.51021E-01 2.45930E-01 1.23129E 00 5 2.31527E-01 7.C6315E-01 2.98728E-01 1.29379E[ 0 6 2.38494E-01 6.63245E-G1 3.43722E-01 1.35822E JO 7 2.38149E-01 6.21786E-01 3.79443E-01 1.42460E 0C 8 2.30460E-n1 5.81913E-01 4.04975E-01 1.49297E 00 9 2.17229E-01 5.43602E-01 4.19979E-01 1.56334E r0 10 1.99917E-01 5.06826E-01 4.24671E-01 1.63575E 00 11 1.79955E-01 4.71561E-01 4.19759E-01 1.71G22L Ofi 12 1.53651E-C1 4.37783E-31 4.06355E-01 1.7&t78E 00 13 1.37133E-01 4.05467E-01 3.85855E-01 1.86547E 00 14 1.16313E-01 3.745PeE-C1 3.59821F-01 1.94631E 00 15 9.68694E-02 3.45124E-;1 3.29862E-01 2.%2932C 00 16 7.92590E-02 3.17050E-01 2.97538E-01 2.11454E 00 17 6.37385E-02 2.90341E-01 2.64268E-01 2.20199E 00 18 5.03953E-02 2.64975E-01 2.31275E-01 2.29171E 30 19 3.91853E-12 2.4C927E-01 1.99554E-01 2.38372E 00 20 2.99693E-02 2.18176E-01 1.69857E-01 2.47805E 00 21 2.25472E-02 1.96696E-01 1.427G0E-01 2.57474E 00 22 1.66869E-02 1.76466E-01 1.18383F-01 2.67381E O0 23 1.21477E-02 1.57462E-01 9.70259E-02 2.77529C 00 24 8.69705E-03 1.39663E-01 7.85973E-02 2.87921E 00 25 6.12179E-03 1.23344E-01 6.29559E-02 2.9856CE 00 26 4.23471E-03 1.07585E-l1 4.9P833E-02 3.09450E 00 27 2.87698E-03 9.32521E-02 3.91147[-02 3. 2593E C 28 1.918015-03 8.00539E-02 3.03643E-02 3.31992E 00 29 1.25333F-03 6.793865-02 2.33453E-02 3.43650C 0O 30 8.01516E-04 5.68942E-02 1.77828F-02 3.555715E 0' 31 5.00596E-04 4.68993E-C2 1.34260F-02 3.67758E 00 32 3.04479E-04 3.79324F-02 1.?J507E-02 3.80213E 00 33 1.79641E-04 2.99722E-02 7.46302E-03 3.92941E 00 34 1.02233E-04 2.29977E-02 5.49871E-03 4.n5943E 00 35 5.56555E-05 1.69879E-G2 4.02158F-03 4.19223E 00 36 2.86147E-05 1.19220E-02 2.92068E-03 4.32785E 00 37 1.36029E-05 7.77933E-03 2.10710E-03 4.46632E 00 38 5.75296E-06 4.53950E-03 1.513655-03 4.607o6E 00 39 1.99461E-06 2.18217E-03 1.07667E-03 4.75191E 00 40 4.51028E-07 6.87182E-04 7.63149E-04 4.89911E 00 41 1.62135E-08 3.45416E-05 5.381693-04 5.04928E 00 42 6.83664E-08 2.0r441CE-04 3.77713E-04 5.20246E 00 43 2.79601E-07 1.17711E-03 2.63958F-04 5.35868E 00 44 4.93372E-07 2.93312E-03 1.83745F-04 5.51798E 00 45 6.47921E-07 5.45309E-03 1.27464E-04 5.68039E 00 46 7.30142E-07 8.71780E-?3 8.81548F-05 5.84593E 00 47 7.48965E-07 1.27082E-02 6.38133E-05 6.01465t 00 48 7.2388SE-07 1.74055E-02 4.18659E-05 6.1868EE 00 49 6.62749E-07 2.27908E-02 2.87779E-05 6.36176E 00 50 5.88646E-07 2.88456E-02 1.97626E-35 6.54021E 00 SUM S(J) FOR = 3.11205363E 00 SUM S(J) FOR P = 6.66640741E 00 78

WILLOW RUN LABORATORIES STRENGTHS AND F FACTORS OF THE V = 1 TO V = 2 TRANSITIONS OF HF TEMPERATURE = 273.3 DEG. K R BRANCH P BRANCH J S(J) F{J) SlJ) F(J) 0 7.37524E-08 9.46014E-01 1 1.14243E-07 8.93840E-01 6.54801E-08 1.05582E 00 2 1.07600E-07 8.43452E-01 9.00854E-08 1.11352E 00 3 7.30658E-08 7.94821E-01 7.54139E-08 1.17310E 00 4 3.77539E-08 7.47921E-01 4.55664E-08 1.23461E 00 5 1.52151E-08 7.02726E-01 2.09811E-08 1.29807E 00 6 4.84919E-09 6.59209E-01 7.54877E-09 1.36351E 00 7 1.23327E-09 6.17343E-01 2.15264E-09 1.43095E 00 8 2.51935E-10 5.77104E-01 4.91117E-13 1.50343E 00 9 4.15568E-11 5.38464E-01 9.02670E-11 1.57197E 00 10 5.56015E-12 5.01398E-01 1.34416E-11 1.64560E 00 11 6.05921E-13 4.65881E-01 1.62959E-12 1.72135E 00 12 5.39924E-14 4.31886E-01 1.61576E-13 1.79926E 00 13 3.94916E-15 3.99389E-01 1.31589E-14 1.87934E 00 14 2.38008E-16 3.68365E-01 8.83992E-16 1.96164E 00 15 1.18650E-17 3.38788E-01 4.91925E-17 2.04617E 00 16 4.91171E-19 3.10634E-01 2.27735E-18 2.13297E 00 17 1.69520E-20 2.83878E-01 8.80913E-23 2.22207E 00 18 4.89787E-22 2.58495E-01 2.85983E-21 2.31349E 00 19 1.18959E-23 2.34462E-01 7.82765E-23 2.40728E 00 20 2.43916E-25 2.11754E-31 1.81485E-24 2.50345E 00 21 4.24049E-27 1.90348E-01 3.58139E-26 2.60205E 00 22 6.27822E-29 1.70219E-01 6.04514E-28 2.70309E 00 23 7.95122E-31 1.51343E-01 8.77200E-33 2.80661E UO 24 9.65273E-33 1.33699C-01 1.099965-31 2.91265' 3' 25 8.12723E-35 1.17261-01 1.19824E-33 3.,2123 08 26 6.61813E-37 1.02307E-01 1.14313E-35 3.13239E 0C 27.00000 00 d.79137E-02.0000E 03 3.24615E 00 28.0000OE 00 7.4958PE-02.00300E nS 3.36255E 00 29.00000E 00 6.31194E-02.OOOOE0 03 3.48162E O0 30.0000OE 00 5.23731E-02.00000E 03 3.60340E 00 31.OOOOOE fC 4.26975E-02.OCD03F 03 3.72790E 00 32.C0000E O0 3.40704E-02.OOOOOE 03 3.85518E 3-' 33.00000E CO 2.647COE-02.C0OO0E 03 3.98525E 00 34.00000E 00 1.98743E-02.0000OE 03 4.11816E 00 35.OOCOE 00 1.42618C-02.OO000E 03 4.25393E 00 36.00, O00E 0 9.61389E-C3.GOOOOE 03 4.39260E 00 37.000G0E GO 5.90036E-03.C000E 03 4.53420E OC' 38 OOOOOE 00 3.10901E-03.00003E 03 4.67877E 00 39.OOOOOE 00 1.21587E-03.80300E 03 4.82633E 0: 40.000008 00 2.00117E-04.o0OOOE 03 4.976938E 0 41.OOOOOE 00 4.10965E-05.0000E 03 5.13059[ 00 42.0000E 00 7.18319E-04.0000DE 03 5.28735E 00 43.OOOOE 00 2.21147E-03.00000E 00 5.44725E 00 44.0000OE 00 4.50338E-03.3030EF OD 5.61032E 0'3 45.39000E 00 7.56506E-03.00000E 03 5.77659E 00 46.OOOOOE 00 1.13857E-02.00000E 0D 5.94609E 00 47.0000E 00 1.59426E-02.OOOOE 03 6.11887L 0o 48.03000E O0 2.12163E-02.0000E 33 6.29496E 00 49.03000E 00 2.71875E-02.00000E 03 6.474398 00 50.OOOOOE 00 3.38370E-02.00000E 03 6.65720E 00 SUM S(J) FOR R = 4.28012598E-37 SUM S(J) FOR P = 3.078248715-07 79

WILLOW RUN LABORATO-RIES STRENGTHS AND F FACTORS OF THE V = 1 TO V = 2 TRANSITIONS OF HF TEMPERATURE = 373.3 DEG. K R BRANCH P BRANCH J S(J) F(J) S(J) F(J) 0 1.06469E-05 9.46014E-01 1 1.74385E-05 8.93840E-01 9.99516E-06 1.05582E OC 2 1.83624E-05 8.43452E-01 1.53734E-05 1.11352E 00 3 1.47370E-05 7.94821E-01 1.52106E-05 1.17310E C0 4 9.51235E-06 7.47921E-01 1.14808E-05 1.23461E 0O 5 5.06013E-06 7.02726E-01 6.97774E-06 1.29807E 00 6 2.24853E-06 6.59209E-01 3.50031E-06 1.36351E 00 7 8.41843E-07 6.17343E-01 1.46942E-05 1.43095E 00 9 2.67177E-07 5.77104E-01 5.20829E-07 1.50043E OC 9 7.22182E-08 5.38464E-01 1.56867E-07 1.57197E 00 1C 1.66907E-08 5.01398E-01 4.03494E-08 1.64560E 00 11 3.30970-C09 4.65881E-01 8.90122E-09 1.72135E 00 12 5.64896E-10 4.31886E-01 1.69049E-09 1.79926E 00 13 8.32416E-11 3.99389E-C1 2.77367E-10 1.87934E 00 14 1.06216E-11 3.68365E-01 3.94499E-11 1.96164E 00 15 1.17707E-12 3.38788E-01 4.88013E-12 2.04617E 00 16 1.13620E-13 3.10634E-01 5.26803F-13 2.13297E 00 17 9.58163E-15 2.83878E-01 4.97905E-14 2.22207E 00 18 7.08053E-16 2.58495E-C1 4.13421E-15 2.31349E OC 19 4.59893E-17 2.34462E-01 3.02610E-15 2.40728E 00 20 2.63363E-18 2.11754E-01 1.95953E-17 2.50345E 00 21 1.33387E-19 1.90348E-01 1.12652E-18 2.60205E 00 22 5.99374E-21 1.70219E-01 5.77102E-23 2.70309E 00 23 2.39705E-22 1.51343E-01 2.64438E-21 2.80661E 00 24 8.55884E-24 1.33699E-01 1.08797E-22 2.91265E 00 25 2.73692E-25 1.17261E-01 4.03492E-24 3.02123E OC 26 7.86201E-27 1.02007E-01 1.35431E-25 3.13239E 00 27 2.03471E-28 8.79137E-02 4.13086E-27 3.24615E 00 28 4.75728E-30 7.49588E-02 1.14978E-28 3.36255E 00 29 1.00735E-31 6.31194E-02 2.93286E-30 3.48162E 00 30 1.93588E-33 5.23731E-02 6.88570E-32 3.60340E OC 31 3.38150E-35 4.26975E-02 1.49453E-33 3.72790E 00 32 5.37230E-37 3.40704E-02 3.01241E-35 3.85518E 00 33.00000E O0 2.647GOE-02 5.66465E-37 3.98525E 00 34.000OE 00 1.98743E-02.0000E 3 O 4.11816E 00 35.000OE 00 1.42618E-02.00000E 03 4.25393E 00 36.0000OE 00 9.61389E-03.00000F 03 4.39260E 00 37.00000E 00 5.90036E-03.000E 00 4.53420E 00 38.0OOOOE 00 3.10901E-03.00003E 00 4.67877E 00 39.OOOOOE 00 1.21587E-03.O000E 00 4.82633E 00 40.000OOE 00 2.00117E-04.0000E 03 4.97693E 00 41.O0000E 00 4.10965E-05.0OOOOE 00 5.13059E 00 42.00000E 00 7.18319E-04.0000E 00 5.28735E 00 43.0000E 00 2.21147E-03.00000E 00 5.44725E 00 44.000OE 00 4.50338E-03.O0000E 00 5.61032E 00 45.00000E 00 7.56506E-03.0000E 00 5.77659E 00 46.00000E 00 1.13857E-02.00000E 00 5.94609E 00 47.QOOOOE 00 1.59426E-02.00000E 00 6.11887E 00 48.00000E 00 2.12163E-02.00000E 00 6.29496E 00 49.00000E 00 2.71875E-02.00030E 00 6.47439E 00 50.00000E 00 3.38370E-02.00000E 00 6.65720E 00 SUM S(J) FOR R = 7.92077625E-05 SUM S(J) FOR P = 6.47363454E-05 80

WILLOW RUN LABORATORIES STRENGTHS AND F FACTORS OF THE V = 1 TO V = 2 TRANSitIONS OF HF TEMPERATURE = 530.3 DEG. K R BRANCH P BRANCH J S(J) F(J) S(J) F(J) 2.85944E-04 9.46014E-:1 1 4.85799E-04 8.93840E-01 2.79315E-34 1.05582E 00 2 5.53752E-04 8.43452E-C1 4.636n9E-C4 1.113522 L0 3 4.98953E-C4 7.94921-0;1 5.1498?E-<4 1.1731 E a0. 4 3.75715F-04 7.47921E- 1 4.53454[-04 1.23461E 00 5 2.42229E-04 7.02726E-U1 3.34C01E- 04 1.29807E 0v 6 1.35496-C04 6.592 9E-1 2.10922E-0 4 1.363 51E 0, 7 6.630t4E-05 6.17343E- 1 1.15736E-04 1.43395E C-' 2.85526E- 5 5.771' -' 5.56575F-05 1.52C,43E 3: 9 1.08652E-05 5.38464E-01 2.35995E-05 1.57197E Of 10 3 3.66663E-06 5.C1398E- -1 8.86346E-06 1. 45o5L 3) 11 1.10060E- C6 4.65,P1-,l 1 2.95979E-05 1.72135E 7 12 2.94639E-07 4.31886E -:1 8.1652-3 7 1.79926r 0) 13 7.25232E-08 3.99329E-1 2.34965E-07 1. P,7934E 4 0 14 1.51283E-08 3.68365E-01 5.61817r-08 1.96164E 0J 15 2.91519E-09 3.387P8E-"1 1.2847E-8 2.r:4617E.: 15 5.03775E-10 3 3. 1634- -:1 2.3 467E- 9 2.13297E 0: 17 7.91856E-11 2.83878E- 1 4.11407E-10 2.22217E 00 1! 1.12129E-11 2.58495E-01 6.54563E-11 2.31349E i0 19 1.43935E-12 2.34462E-01 9.46849E-12 2.4<728E L' 2' 1.67871E-13 2.11754E-'1 1.24863r-12 2.50345E 03 21 1.78295r-14 1.9C348E-31 1.505246-13 2.6C020r 5E 22 1.72839E-15 1.70219E-1 1.66346E-14 2.7 7 O s - 23 1.53273E-16 1.51343E-0 1 1.6 902E-15 2.80(661E C 24 1.24614E-17 1.33699E- 1 1.58310E-16 2.91265E o^ 2J 9.30862E-19 1.17261 -Ci 1.371365-17 3.r 123E 0. 26 6. 4192E-23 1.1 023C7r- 1 1. 1P97E-18 3. 1 239E 0J 27 4. 6 14-E-21 8.79137E- t2.23733F-22 3.246 1E 65 2~ 2.38C82E-22 7.4958PE-f2 5.74749E-21 3.36255E 0': 29 1.29146E-23 6.31194E-02 3.75/86E-22 3.48162h 0: 30 6.483904C-25 5.23731tE-2 2.30433E-23 3.6034E 00F 31 3.02138E-26 4.26975E-0;2 1.33281E-24 3.7279-9: i i 32 1. 3;)32E-27 3.4L704E-02 7.28998S-26 3. 851.E 00 33 5.19555E-29 2.647 E-02 3.78363E-27 3.9b5255E 0 34 1.90775E-30 1.98743E-02 1.P6995C-28 4.11816E 16 35 6.40258E-32 1.42618E-32 8.83151E-30 4.25393 0:' 3t 1.93675E-33 9.61089E-03 4.N00333-31 4.3926tE 03 37 5.14173E-35 5.90036E —03 1.74430E-32 4.53420E OC 3 1.13295E-36 3.1G9C1E-l3 7.34932E-34 4.67877E'0 39.0300(0E 00 1.21587E-03 3.00366E-35 4.82633E 0'9 403.O00E 00 2. 0117E-4 1.19551E-36 4.97693E 0 41.0OOOOE 00 4.10965E-05.0O30F 0 3D 5.13CC59E 00 42.0uCOOE 00 7.18319E-U4.000;0E 33 5.28735E 00 43.O00OE 00 2.21147E-03.OOOOO 0 5.44725E ODU 44.0i000E 00 4.5003338E —3.i0000E 03 5.61032E 00 43.00)COE 00 7.56506E-033.0033E 03 5.776596 00 46.00000E 00 1.13357 —02.03O006E 03 5.94609E- 0 47.OOO0E 0 1.59426E-02.OOOO6)E 03 6.118876E 0, 48.O)OOOE 00 2.12163E-02.00000E 00 6.29496E 01 49.OOOOOE 00 2.71875E-02.OOOOE 03 6.47439E 0" 5;.00000E 00 3.38370E-02.000OE 003 6.6)720: 3C SUM S(J) FOR R = 2.68976486E-03 SUM SIJ) FOR P = 2.46400177E-03 81

WILLOW RUN LABORATORIES STRENGTHS AND F FACTORS OF THE V = 1 TO V = 2 TRANSITIONS OF HF TEMPERATURE = 1000.0 DEG. K R BRANCH P BRANCH J S(J) F(J) S(J) F(J) u 2.13381E-02 9.46014E-01 1 3.84627E-02 8.93840E-01 2.22303E-02 1.05582E 00 2 4.90346E-02 8.43452E-01 4.10'54E-02 1.11352E 00 3 5.24044E-02 7.94821E-01 5.4C002E-02 1.17310E 00 4 4.95244E-02 7.47921E-01 5.96459E-02 1.23461E 00 5 4.23886E-02 7.02726E-01 5.82989E-02 1.29807E 00 6 3.32864E-02 6.59209E-01 5.16538E-02 1.36351E 00 7 2.41712E-02 6.17343E-01 4.20338E-02 1.43095E 00 8 1.63165E-02 5.77104E-01 3.16705E-02 1.50D43E 00 9 1.02776E-02 5.38464E-01 2.22146E-02 1.57197E 00 10 6.05817E-03 5.0139eE-01 1.4563QE-02 1.64560E 00 11 3.34948E-03 4.65881E-01 8.95156E-03 1.72135E 00 12 1.74036E-03 4.31886E-01 5.17141E-03 1.79926E 00 13 8.51250E-04 3.99389E-01 2.81409E-03 1.87934t 00 14 3.92544E-04 3.68365E-01 1.44518E-03 1.96164E 00 15 1.70897E-04 3.38788E-01 7.016525-04 2.04617E 00 16 7.03335E-05 3.10634E-01 3.22594E-04 2.13297E 00 17 2.73972E-C5 2.83878E-01 1.40675E-04 2.22207E 00 18 1.01129E-05 2.58495E-01 5.82728E-05 2.31349E 00 19 3.54136E-06 2.344625-01 2.29651E-05 2.40728E 00 20 1.17776E-06 2.11754E-01 8.62335E-06 2.50345E 00 21 3.72386E-07 1.90348E-01 3.08988E-06 2.6C'20S5E C 22 1.12049E-07 1.70219E-01 1.05808E-05 2.7C3959E 0 23 3.21149E-08 1.51343E-01 3.46792E-07 2.80661E 00 24 8.77512E-09 1.33699E-01 1.08957E-07 2.91265E 00 25 2.28757E-09 1.17261E-01 3.28659E-08 3.02123E 00 26 5.69293E-10 1.02007E-01 9.53285E-09 3.13239E 00 27 1.35308E-10 8.791375-02 2.66300E-09 3.24615E 00 28 3.07203E-11 7.49588E-02 7.17605E-1D 3.36255E 00 29 6.66169E-12 6.31194E-02 1.8684DE-13 3.48162E 00 30 1.37896E-12 5.23731E-02 4.70894E-11 3.60345E 00 31 2.72144E-13 4.26975E-02 1.15005E-11 3.72790E 00 32 5.10980E-14 3.4C704E-02 2.72793E-12 3.85518E 00 33 9.095825-15 2.64700E-02 6.29413E-13 3.98525E 00 34 1.52630E-15 1.98743E-02 1.41505E-13 4.11816E 00 35 2.39198E-16 1.42618E-02 3.1C540E-14 4.25393E 00 36 3.44633E-17 9.61389E-03 6.66418E-15 4.39260E 00 37 4.43673E-18 5.90036E-03 1.40105E-15 4.53420E 00 38 4.81732E-19 3.109015-033 2.89101E-1 4.67877E 00 39 3.82225E-20 1.21587E-03 5.86620E-17 4.82633E 00 40 1.25915E-21 2.00117E-04 1.17279E-17 4.97693E 00 41 5.11624[-23 4.109655-05 2.31475E-18 5.13059E O0 42 1.75274E-22 7.18319E-04 4.51955E-19 5.28735E 00 43 1.04995E-22 2.21147E-03 8.74797E-20 5.44725E 00 44 4.13628E-23 4.500385-03 1.68222E-29 5.61032E 00 45 1.34223E-23 7.56506E-03 3.22104E-21 5.77659E 00 46 3.89787E-24 1.13857E-02 6.15546E-22 5.94609E 00 47 1.05521E-24 1.59426E-02 1.17687E-22 6.11887E 00 48 2.72725E-25 2.12163E-02 2.25683E-23 6.29496E 00 49 6.83601E-26 2.71875E-02 4.35241E-24 6.47439E 00 50 1.68074E-26 3.38370E-02 8.46509E-25 6.65720E 00 SUM S(J) FOR R = 3.49880368E-01 SUM S(J) FOR P = 4.16758579E-01 82

WILLOW RUN LABORATORIES STRENGTHS AND F FACTORS OF THE V = 1 TO V = 2 TRANSITIONS OF HF TEMPERATURE = 1500., DEG. K R BRANCH P BRANCH J S(J) F(J) S(J) F(J) 0 6.07889E-02 9.46014E-C1 1 1.11750E-01 8.93840E-01 6.39646E-02 1.055S2E 0 2 1.43368E-01 8.43452E-01 1.23362E-01 1.11352C 0: 3 1.67597E-'1 7.94821E-01 1.71799E-01 1.17310E 03 4 1.70929E-01 7.47921E-01 2.04477E-01 1.23461E 00 5 1.60866E-01 7.02726E-01 2.19416E-01 1.29S37E 00 6 1.41505E-01 6.592 -9E-0r1 2.17427F-01 1.36351E 30 7 1.17247E-01 6.17343E-0] 2.01561F-01 1.43095E 0) 8 9.19739E-02 5.771 4E-01 1.76193E-01 1.5 C0 43E 0: 9 6.85526E-02 5.38464E-01 1.45990E-01 1.57197E 00 10 4.86786E-02 5.0139EE-01 1.15097E-01 1.64560E O0 11 3.29996E-02 4.65881E-01 8.65847E-02 1.72135E 00 12 2.13928E-02 4.31886E-01 6.22933E-02 1.79926E 00 13 1.32810E-02 3.99389E-01 4.29412E-02 1.87934E u* 14 7.90542E-03 3.68365E-01 2.84088F-02 1.96164E O0 15 4.51670t-03 3.38788E-01 1.80634E-02 2.04617E 00 16 2.47938E-03 3.10634E-0] 1.10533E-02 2.13297E 00 17 1.30880E-03 2.8387PE-01 6.51720E-03 2.22207E OG 18 6.64919E-04 2.58495E-01 3.70697E-03 2.31349E'? 19 3.25354E-04 2.34462E-01 2.03638E-03 2.4072E- 00 20 1.53439E-04 2.11754E-01 1.08158E-03 2.5t345E 00 21 6.97890E-05 1. 9 34 E-01 5.56319E-04 2.602:5E 5 22 3.06302E-05 1.70219-01 2.76962E-04 2.701309E O 23 1.29789E-05 1.51343E-0-1 1.33818E-04 2.80661E 00 24 5.31152E-06 1.33699E-01 6.27820E-05 2.91265E 00 25 2.09998E-06 1.17261E-01 2.86320E-05 3.02123E 00 26 8.02198E-07 1.02007E-01 1.27066E-05 3,13239E 00 27 2.96068E-07 8.79137E-02 5.49334E-06 3.24615E 0O 28 1.05538E-07 7.49588E-02 2.31606E-05 3.36255E 30 29 3.63124E-08 6.31194E-02 9.53337E-07 3.48162E'0 30 1.20461E-08 5.23731E-02 3.83537E-07 3.6034CE 00 31 3.84613E-09 4.26975E-02 1.50980E-07 3.72790E 00 32 1,17875E-09 3.40704E-02 5.82203E-08 3.85518E 00 33 3.45354E-10 2.647COE-02 2.20176E-08 3.98525E 00 34 9.61237E-11 1.98743E-02 8.17543E-09 4.11816E 00 35 2.51667E-11 1.42618E-02 2.98405E-09 4.25393E C0 36 6.09740E-12 9.61389E-03 1.07195E-09 4.39260E 0 37 1.327Q84-12 5.90336E-03 3.79439E-10 4.5342u0E C 38 2.45176E-13 3.16901E-03 1.32509E-1D 4.67877E 03 39 3.32351E-14 1.21587E-03 4.57115E-11 4.82633E 09 40 1.87796E-15 2.00117E-04 1.55971E-11 4.97693E 0? 41 1.31316E-16 4.10965E —5 5.27073E-12 5.13J59E 042 7.76171E-16 7.18319E-04 1.76640E-12 5.28735E OC 43 8.03669E-16 2.21147E-03 5.87893E-13 5.44725E C0 44 5.47850E-16 4,50038E-03 1.94591E-13 5.61032E OC 45 3.07713E-16 7.56506E-03 6.41511E-14 5.77659E 00 46 1.54592E-16 1.13857E-02 2.10964E-14 5.94609E 00 47 7.23002E-17 1.59426E-02 6.93153E-15 6.11887E CO 48 3.22090E-17 2.12163E-02 2.27927E-15 6.29496E 00 49 1.38712E-17 2.71875E-C2 7.51398E-15 6.47439E 00 50 5.83511E-13 3.38370E-02 2.48804E-15 6.65720E 00 SUM S(J) FOR R = 1.37310451E 00 SUM S(J) FOR P = 1.90295105E 00 83

WILLOW RUN LABORATORIES STRENGTHS AND F FACTORS OF THE V = 1 TO V = 2 TRANSITIONS OF HF TEMPERATURE = 2000.0 DEG. K R BRANCH P BRANCH J S(J) F(J) S(J) F(J) 0 8.15372E-02 9.46014E-01 1 1.51452E-01 8.93840E-01 8.63156E-02 1.05582E 00 2 2.04680E-01 8.43452E-01 1.69746E-01 1.11352E O0 3 2.38534E-01 7.94321E-01 2.42943E-01 1.17310E 00 4 2.52837E-01 7.47921E-01 2.99954E-01 1.23461E 0. 5 2.49617E-01 7.02726E-01 3.37017F-01 1.29897E 0i 6 2.32481E-01 6.59209E-01 3.52926E-01 1.36351E 00 7 2.05834E-01 6.17343E-01 3.48938E-01 1.43395E 03 8 1.74116E-01 5.771J4E-01 3.28279E-01 1.50J43E 00 9 1.41213E-01 5.38464E-01 2.95401E-01 1.57197E OC 13 1.10087E-01 5.01398E-01 2.55177E-01 1.64560E 00 11 8.26570E-02 4.65881E-01 2.12187E-01 1.72135E 00 12 5.98660E-02 4.31e86E-01 1.7J206E-01 1.79926E 00 13 4.18788E-02 3.99389E-01 1.31936E-01 1.87934E 00 14 2.83264E-02 3.68365E-01 9.89757E-02 1.96164E 00 15 1.85426E-02 3.38788E-01 7.19497E-02 2.04617E 00 16 1.17567E-02 3.10634E-01 5.07423E-02 2. 13297E 00 17 7.22512E-03 2.83878E-)1 3.47539E-02 2.22207. 00 18 4. 30652E-03 2.58495E-01 2.31402E-02 2.31349E 00 19 2.49100E-03 2.34462E-01 1.49923E-02 2.40728E 00 20 1.39895E-03 2.11754E-01 9.46012E-33 2.50345- 03 21 7.63128E-04 1.90348E-01 5.81885E-03 2.60205E 00 22 4.04494E-04 1.70219E-01 3.49191E-03 2.703099 00 23 2.08382E-04 1.51343E-01 2.,4618E-03 2.80661E 0O 24 1.04355E-04 1.33699E-01 1.17177E-03 2.91265E OC 25 5.080303E-5 1.17261E-"-1 6.56337E-34 3.02123E 00 26 2.40402E-05 1.23007E-01 3.59879E-04 3.13239E 00 27 1.10542E-05 8.79137E-02 1.93328E-04 3.24615E 00 28 4.93638E-06 7.49588E-02 1.01837E-04 3.36255E 0O 29 2.13889E-06 6.31194E-0'2 5.26447F-05 3.48162E 00 30 8.97993E-07 5.23731E-32 2.67306E-05 3.60340E n0 31 3.64569E-07 4.26975E-02 1.33425E-05 3.72790E 00 32 1.42699E-07 3.43704E-02 6.55261E-05 3.85518E 00 33 5.36174E-08 2.64709E-02 3.16894E-05 3.98525E 00 34 1.92123E-08 1.98743E-02 1.51348E-05 4.11616E 00 35 6.49858E-09 1.42618E-02 7.10231E-07 4,25393E 00 36 2.04074E-09 9.61389E-03 3.29730E-07 4.39262E 00 37 5.77708E-13 5.90036E-03 1.51281E-07 4.53420E 03 38 1.39025E-10 3.10901E-03 6.86558E-08 4.67877E 00 39 2.46182E-11 1.21587E-03 3.08491E-08 4.82633E 03 40 1.82066E-12 2.0J117E-04 1.37371E-08 4.97693E 03 41 1.66893E-13 4.10965E-05 6.06820E-09 5.13059E 00 42 1.29478E-12 7.18319E-04 2.66176E-09 5.28735E 03 43 1.76120E-12 2.21147E-03 1.16057E-09 5.44725E 00 44 1.57796E-12 4.50038E-03 5.03531E-13 5.61032E 00 45 1.16500E-12 7.56506E-03 2.17626E-10 5.77659E 00 46 7.69075E-13 1.13857E-02 9.38034E-11 5.94609E 00 47 4.72279E-13 1.59426E-02 4.03706E-11 6.11887E 00 48 2.75924E-13 2.12163E-02 1.73697E-11 6.29496E 00 49 1.55579E-13 2.71875E-02 7.48121E-12 6.47439E 00 50 8.55011E-14 3.38370E-02 3.22997E-12 6.65720E 00 SUM S(J) FOR R = 2.302412816 30 SUM S(J) FOR P = 3.54898366E CO 84

WILLOW RUN LABORATORIES STRENGTHS AND F FACTORS OF THE V = 1 TO V = 2 TRANSITIONS OF HF TEMPERATURE = 2500.3 DEG. K R BRANCH P BRANCH J S(J) F(J) S(J) F(J) ]' 8.30471E-02 9.46014E-01 1 1.55264E-01 8.9384CE-01 8.82590E-02 1.05582E 00 2 2.12397E-01 8,43452E-01 1.75385E-01 1.11352E 00 3 2.51967E-01 7.94821E-01 2.55-73E-01 1.17310E 00 4 2.73392E-01 7.47921E-01 3.21821E-01 1.23461E 00 5 2.77840E-01 7.02726E-01 3.71562E-01 1.298,7E 00 6 2.67850E-01 6.59209E-01 4.02056E-01 1.36351F 07 7 2.46827E-01 6.17343E-01 4.13C01E-01 1.43095E 03 8 2.18521E-01 5,77104E-01 4.35908E-01 1.50343E 0 2 9 1.86454F-01 5.38464E-01 3.83628E-01 1.'71976 00 1 1.53757E-01 5.01398E-01 3.49918E-01 1.64560E 00 11 1.22762E-01 4.65881E-31 3.08854E-01 1.72135E 3: 12 9.5041E6-02 4.31886E-01 2.643436E-1 1.79926E 03 13 7.14335E-02 3.99389E-01 2.19752E-01 1.87934E 00 14 5.21703E-02 3.68365E-0l 1.77684E-01 1.96164E 00 15 3.70586E-02 3.38788E-01 1.39906E-01 2.04617E 03 16 2.56206E-02 3.10634E-01 1.07389E-01 2.13297E 03'" 17 1.725COE-0? 2.83878E-01 8.34315E-02 2.222G7E 00 18 1.13166E-02 2.58495E-01 5.88332E-02 2.31349E 00 19 7.23713E-03 2.34462E-1 4.203637E-32 2.40720E 0O 2: 4.51341E-03 2.11754E-'1 2.94187E-02 2.50345E 0 21 2.74575E-03 1.90348E-31 2.01417E-02 2.602035E 0 22 1.62979E-03 1.70219[-01 1.35D97E-02 2.7C339E 00 23 9.44CZ8E-04 1.51343E-01 8.88355E-03 2.Lb661E O0 24 5.33584E-04 1.33699E-31 5.73086E-03?.91265E 6O 25 2.94287E-04 1.17261E-01 3.62954E-03 3.02123E 00 26 1.58331E-04 1.02307E-01 2.25839E-03 3.13239E 00 27. 30'597E-05 8.79137E-02 1.38136E-03 3.24615E ]:; 23 4.24552E-05 7.49588E-02 8.31247E-04 3.36255E 09 29 2.11216~-05 6.31194E-02 4.92431E-04 3.48162E 03 30 1.02120E-05 5.23731E-22 2.87378E-04 3.6234CE 03 31 4.78777E-06 4.26975E-32 1.65330E-04 3.72790E 00 32 2.16987E-06 3.40704E-02 9.38307F-05 3.85518E OC 33 9.46331E-07 2.6470"E-02 5.25693E-05 3.98525E 00 34 3.94489E-07 1.98743E-02 2.90951E-05 4.11816E 00 35 1.55563E-07 1.4251iE-02 1.59189E-05 4.25393E Oi 36 5.706166-08 9.61389E- 3 8.61640E-06 4.39260E 03 37 1.89C10E-08 5.90936E-0 4.61711E-06 4.53420E 03 30 5.33042E-09 3.10901E-03 2.45112E-05 4.67877E 30 39 1.13764E-09 1.21587E-C,3 1.29313E-05 4.82633E 0: 4, r' 9.62378E-11 2.00117E-04 6.73760E-07 4.976')3E UC 41 1.03737E-11 4.10965E-05 3.49394E-07 5.13059E 0' 42 9.47067E-11 7.16319E-04 1.80357E-07 5.28735E 0'" 43 1.51671E-13 2.21147E-03 9.22872E-08 5.44725E 0, 44 1..6335E-10 4.50038E-03 4.70842E-08 5.61,32E 03 45 1.39149E-10 7.56506E-03 2.39324E-08 5.77659E 03 46 1.08160E-10 1.13857E-02 1.21303E-08 5.94629E 0K 47 7.81690E-11 1.59426E-02 6.13666E-09 6.11387E 048 5.37'76E-11 2.12163E-02 3.10172E-09 6.29496E 0, 49 3.55762E-11 2.71875E-02 1.56795E-09 6.47439E 00 5C' 2.29384E-11 3.38370E-C2 7.93600E-1D 6.65720E 00 SUM S(J) FOR R = 2.77816644E 30 SUM S(J) FOR P = 4.65281475E 30 85

WILLOW RUN LABORATORIES STRENGTHS AND F FACTORS OF THE V = 1 TO V = 2 TRANSITIONS OF HF TEMPERATURE = 3000.0 DEG. K R BRANCH P BRANCH J S(J) F(J) S(J) F(J) 0 7.49518E-02 9.46014E-01 1 1.40762E-01 8.93840E-01 7.98360E-02 1.05582E 00 2 1.94155E-01 8.43452E-01 1.59724[-01 1.11352E 00 3 2.33106E-01 7.94821E-01 2.34748E-01 1.17310E 00 4 2.56937E-01 7.47921E-G1 3.00424E-C1 1.23461E 00 5 2.66243E-01 7.02726E-01 3.53136F-01 1.29807E 00 6 2.62676E-01 6.59209E-01 3.90472E-01 1.36351E O0 7 2.48629E-01 6.17343E-01 4.11381E-01 1.43395E 00 8 2.26893E-01 5.77104E-01 4.16167E-01 1.50043E 00 9 2.00311E-01 5.38464E-01 4.06316E-01 1.57197E 00 10 1.71504E-01 5.C1398E-01 3.84215E-01 1.64560E GO 11 1.42670E-01 4.65881E-01 3.52806E-01 1.72135E 00 12 1.15479E-01 4.31886E-01 3.15227E-01 1.79926E 00 13 9.10504E-02 3.99389E-01 2.74496E-01 1.R7934E 00 14 6.99965E-02 3.68365E-01 2.33266E-01 1.96164E 5)0 15 5.25074E-02 3.38788E-01 1.93671E-01 2.04617E 00 16 3.84586E-02 3.C1634E-01 1.57255F-01 2.13297E 00 17 2.75189E-02 2.83878E-31 1.24984E-01 2.22207E 00 18 1.92456E-02 2.58495E-01 9.73129E-02 2.31349E 00 19 1.31600E-02 2.34462E-01 7.42806E-02 2.40728E 00 20 8.80103E-03 2.11754E-01 5.56260E-02 2.50345E 00 21 5.75785E-03 1.9C0348E-01 4.08950E-02 2.60205E 00 22 3.68549E-03 1.70219E-01 2.95348E-02 2.70339t 00 23 2.30811E-03 1.51343E-01 2.09674E-02 2.80661E 00 24 1.41422E-03 1.33699E-01 1.46408E-02 2.91265E 00 25 8.47600E-04 1.17261E-01 1.00615E-02 3.02123E 00 26 4.96735E-04 1.02007E-01 6.,0915E-03 3.13239E 00 27 2.84497E-04 8.79137E-22 4.54060E-03 3.24615E 00 28 1.59108E-04 7.4958RE-02 2.98524E-03 3.36255E 00 29 8.67879E-05 6.31194E-02 1.93617E-03 3.48162E 00 30 4.60965E-05 5.23731E-02 1.23954E-03 3.6C340C 00 31 2.37860E-05 4.26975E-52 7.83757E-04 3.7279JE 00 32 1.18853E-05 3.40704E-02 4.89735E-04 3.85518E 00 33 5.72420E-06 2.64700E-02 3.02589E-04 3.98525E 00 34 2.63912E-06 1.98743E-02 1.84974E-04 4.11816E 00 35 1.15263E-06 1.42618E-02 1.11942E-04 4.25393E 00 36 4.68851E-07 9.61089E-03 6.71059E-05 4.39260E 00 37 1.72419E-07 5.90036E-03 3.98724E-05 4.53420E 00 38 5.40394E-08 3.10901E-03 2.34959E-05 4.67877E 00 39 1.24906E-08 1.21587E-03 1.37400E-05 4.82633E 00 40 1.20807E-09 2.00117E-04 7.97874E-06 4.97693E 00 41 1.45046E-10 4.10965E-05 4.60370E-06 5.13059E O0 42 1.47566E-09 7.18319E-04 2.64115E-05 5.28735E 00 43 2.63439E-09 2.21147E-03 1.50758E-06 5.44725E 00 44 3.09912E-09 4.50038E-03 8.56786E-07 5.61032E 00 45 3.00437E-09 7.56506E-03 4.85153E-07 5.77659E 00 46 2.60328E-09 1.13857E-02 2.73920E-07 5.94609E 00 47 2.09663E-09 1.59426E-02 1.54327E-07 6.11887E 00 48 1.60450E-09 2.12163E-02 8.68344E-08 6.29496E 00 49 1.18297E-09 2.71875E-02 4.88365E-08 6.47439C 00 50 8.48202E-10 3.38370E-02 2.74787E-08 6.65720E 00 SUM S(J) FOR R = 2.87018606E 00 SUM S(J) FOR P = 5.15098810E 00 86

WILLOW RUN LABORATORIES STR7NGTHS AND F FACTORS OF THE V = 1 TO V = 2 TRANSITIONS OF HF TEMPERATURE = 3500.0 DEG. K R BRANCH P BRANCH J S(J) F(J) S(J) F(J) C- 6.38659E-02 9.46314E-01 1 1.20340E-01 8.9384CE-01 6.81242E-02 1.05582E 02 2 1.66983E-01 8.43452E-C1 1.36938E-C0 1.11352E 7: 3 2.02227E-01 7.94821E-01 2.02754E-01 1.1731 0E 0) 4 2.25438E-01 7.47921E-01 2.62101E-01 1.23461E CJ 5 2.36887E-01 7.n27262E- 1 3.12027E-01 1.298,)7 C 0 6 2.37623E-01 6.59209E-i1 3.50348E-01 1.36351E 3? 7 2.29276E-01 6.17343E-1 3.75792E-01 1.43u95E ) 8 2.13840E-01 5.771 4E-I1 3.88348E-01 1.5C643E 07 9 1.93440E-01 5.36464E-01 3.87713E-01 1.57197LE ) 1 1.70132E-01 5.0139F[-01 3.76139E-01 1.64560E 11 1.45747E-01 4.65881E-)1 3.55242?-C1 1.721352E 12 1.21785E-01 4.31886LE-1 3.27262E-01 1.7i926E 0) 1 9.93688E-C2 3.99389E-01 2.9454DE-01 1.87934E;-1,14 7.92419E-02 3.68365E-31 2.59319E-01 1.96164E 0 15 6.18050E-02 3.3878P8E-'1 2.23582E-01 2.04617E 300 16 4.71755E-02 3.1C634E-01 1.88956E-01 2.132v7E 0) 17 3.52572E-02 2.8387BE-01 1.56666E-01 2.222037r O, 18 2.5S101E-02 2.5495-;-1 1.27528E-01 2.31349E'0 19( 1.85133E-,n2 2.34462E-0? 1 1.01989f-01 2 2.40728E O0 2<, 1.30147E-02 2.11754E-l1 8.01874E-02 2.50345E 013 21 8.96825E-03 1.90348E-01 5.20195E-02 2.60205E J 22 6.05815E-03 1.7C 219E-01 4.72146E-02 2.7:3.93 9 E 23 4.0, 1163E-3 1.513 3E-01 3. 53994E-02 2. 806, 1E t 24 2 2.60372E-03 1.3369')9E-01 2.61533E-02 2.91265E 00 25 1.65595E-03 1.17261E-1 1.90504E-302 3.02123E j 26 1.03156E-03 1. 02 U 7E- 01 1.36884FE-0 2 3.132 39E'O: 27 6.29022E-04 8.79137E-02 9.73746E-03 3.24615E 28 3.75119E-04 7.49588E-02 6.79800E-03 3.36255E 30 29 2.13507E-04 6.31194E-22 4.70330E-03 3.48162E "0 30 1.24111E-04 5.23731E-22 3.21656E-03 3.60340E J0 31 6. 85763E-05 4.26975E-02 2.17554[-03 3.7273)0E 00 32 3.67375E-05 3.4C704E-02 1.45595E-03 3.85518E 0D 33 1.89918E-05 2.647 0OE-02 9.64616E-04 3.98525E 0D 34 9.40864E-06 1.98743E-2 6.33004E-04 4.11816E 0 35 4.41981E-06 1.42618E-02 4.11647E-04 4.25393E 0'! 36 1.93548E-06 9.61089E-03 2.65418E-04 4.39260E 3L 37 7.66886E-07 5.90336E-03 1.69765E-04 4.53420E 00 38 2.59157E-07 3.1,901iE-3 1.07772E-04 4.67877E 3" 39 6.46271E-08 1.21587E-03 6.79403E-05 4.82633E 0' 40 6.74734E-09 2.00117[-04 4.25549E-05 4.97693E 0j 41 8.74873E-10 4.10965E-c5 2.64974E-05 5.13059E 0r 42 9.61536E-09 7.18319E-04 1.64109E-05 5.28735r D0: 43 1.85480E-08 2.21147E-03 1.01155E-05 5.44725E 03 44 2.35799E-08 4.50338E-03 6.20896E-06 5.610 32E 02 45 2.47027E-08 7.565'06E-3 3.79746E-05 5.77659E 0) 46 2.31285E-08 1.13857E-)2 2.31571E-05 5.94609E 03 47 2.01225E-08 1.59426E-02 1.40888E-06 6.11887E 00 48 1.66291E-08 2.12163E-02 8.55794E-07 6.29496E 00 4q 1.32329E-09 2.71875E-02 5.19381E-07 6.47439E 00 52 1.02341E-08 3.3837nE-02 3.15182E-07 6.65720[E 0 SUM S(J) FOR R = 2.73358691E 00 SUM S(J) FOR P = 5.20956725E?0 87

WILLOW RUN LABORATORIES STRENGTHS AND F FACTORS OF THE V = 1 TO V = 2 TRANSITIONS OF HF TEMPERATURE = 4000.0 DEG. K R BRANCH P BRANCH J S(J) F(J) S(J) F(J) 0 5.29316E-02 9.46014E-01 1 9.99903E-02 8.93840E-01 5.65142E-02 1.05582E 00 2 1.39378E-01 8.43452E-01 1.13997E-01 1.11352E 00 3 1.69904E-01 7.94821E-01 1.69715E-01 1.17310E 00 4 1.91029E-01 7.47921E-01 2.21037E-01 1.23461E 00 5 2.02853E-01 7.02726E-01 2.65643F-01 1.29807E 00 6 2.06040E-01 6.59209E-01 3.01696E-01 1.36351E 00 7 2.01694E-01 6.17343E-01 3.27968E-01 1.43([95E 00 8 1.91222E-01 5.77104E-01 3.43896E-01 1.5C343E 00 9 1.76173E-01 5.38464E-01 3.49576E-01 1.57197E OC 10 1.58105E-01 5.01398E-01 3.45696E-01 1.64560E 00 11 1.38465E-01 4.65881E-01 3.33425E-01 1.72135E 00 12 1.18499E-01 4.31886E-01 3.14268E-01 1.79926E 00 13 9.92058E-02 3.99389E-01 2.89915E-01 1.87934E 00 14 8.13174E-02 3.68365E-01 2.62094E-01 1.96164E 00 15 6.53061E-02 3.38788E-01 2.32445E-01 2.04617E 00 16 5.14153E-02 3.10634E-01 2.0242DE-01 2.13297E 00 17 3.97005E-02 2.83878E-01 1.73223E-01 2.22207E 00 18 3.00763E-02 2.58495E-01 1.45777E-01 2.31349E 00 19 2.23613E-02 2.34462E-01 1.20723E-01 2.40728E 00 20 1.63192E-02 2.11754E-01 9.8440DE-02 2.50345E 00 21 1.16919E-02 1.90348E-01 7.90833E-02 2.60205E 00 22 8.22359E-03 1.70219E-01 6.26274E-02 2.70309E 00 23 5.67810E-03 1.51343E-01 4.89144E-02 2.80661E 00 24 3.84797E-03 1.33699E-01 3.76981E-02 2.91265E 00 25 2.55865E-03 1.17261E-01 2.86830E-02 3.02123E 00 26 1.66853E-03 1.02007E-01 2.15557E-02 3.13239E 00 27 1.06637E-03 8.79137E-02 1.60078E-02 3.24615E 00 28 6.67292E-04 7.49588E-02 1.17527E-02 3.36255E 00 29 4.08316E-04 6.31194E-02 8.53439E-03 3.48162E 00 30 2.43882E-04 5.23731E-02 6.13251E-03 3.60340E 00 31 1.41843E-04 4.26975E-02 4.36241E-03 3.72790E 00 32 8.00594E-05 3.4G704E-02 3.0735DE-03 3.85518E 00 33 4.36427E-05 2.64700E-02 2.14561E-03 3.98525E 00 34 2.28173E-05 1.98743E-02 1.48482E-03 4.11816E 00 35 1.13202E-05 1.42618E-02 1.01905E-03 4.25393E 00 36 5.23898E-06 9.61089E-03 6.93918E-04 4.39260E 00 37 2.19511E-06 5.90036E-03 4.69040E-04 4.53420E 00 38 7.84861E-07 3.10901E-03 3.14845E-04 4.67877C 00 39 2.07181E-07 1.21587E-03 2.09975E-04 4.82633E 00 40 2.29058E-08 2.00117E-04 1.39195E-04 4.97693E 00 41 3.14612E-09 4.10965E-05 9.17634E-05 5.13059E 00 42 3.66370E-08 7.18319E-04 6.01888E-05 5.28735E 00 43 7.48937E-08 2.21147E-03 3.92985E-05 5.44725E 00 44 1.00907E-07 4.50338E-03 2.55547E-05 5.61032E 00 45 1.12035E-07 7.56506E-03 1.65588E-05 5.77659E 00 46 1.11159E-07 1.13857E-02 1.06977E-05 5.94609E 00 47 1.02468E-07 1.59426E-02 6.89437E-06 6.11887E 00 48 8.96941E-08 2.12163E-02 4.43517E-05 6.29496E 00 49 7.55740E-08 2.71875E-02 2.84978E-05 6.47439E 00 50 6.18550E-08 3.38370E-02 1.83018E-06 6.65720E 00 SUM S(J) FOR R = 2.48834804E 00 SUM S(J) FOR P = 5.00362706E 00 88

WILLOW RUN LABORATORIES STRENGTHS AND F FACTORS OF THE V = 1 TO V = 2 TRANSITIONS OF HF TEMPERATURE = 4530., DEG. K R BRANCH P BRANCH J S(J) F(J) S(J) F(J) }0 4.33226E-02 9.46014E-01 1 8.23032E-02 8.93940nE —01 4.62855E —02 1.5582E C0 2 1.14714E-01 8.43452E-01 9.36136E-02 1.11352E Or 3 1.40556E-01 7.9421E — 1 1.39959E-01 1.17310E OC 4 1.59090E-01 7.47921E-01 1.83339E-31 1.23461E OC 5 1.70330E-01 7.02726E-01 2.21955E-01 1.29807E C0 6 1.74699E-01 6.592096-01 2.54319E-01 1.36351E 0C 7 1.72951E-01 6.17343E-01 2.79347E-01 1.43095E OC 8 1.66077E-01 5.771C4E-01 2.96413E-01 1.50J43E 00 9 1.55203E-01 5.34646E-01 3.05365E-01 1.57197E r, 1! 1.41493E-01 5.0139E-01 3.0b492E-01 1.64560E 00 11 1.26063E-01 4.65881E-01 3.0C472E-C1 1.72135E 00 12 1.09911E-01 4.31886E-31 2.88277E-01 1.79926E 00 13 9.38768E-02 3.99389E-01 2.71881E-01 1.87934E 05 14 7.86137E-02 3.68365E-C- 2.50154E-01 1.96164E 00 15 6.45880E-02 3.38788E-01 2.26770E-01 2.04617E Or 16 5.20896E-02 3.10634E-C1 2.02123E-01 2.13297E 00 17 4.12556E-02 2.83878E-31 1.77279F-01 2.22207E 0O( 18 3.20989E-02 2.58495E-01 1.53J87E-01 2.31349E O0 19 2.45403E-02 2.34462E-)01. 1.30258E-01 2.40728E 0C 20 1.84385E-02 2.11754E-11 1.09265E-01 2.50345E 00 21 1.36163E-02 1.90348E-1. 9.04369F-02 2.60235E 03 22 9.88285E-03 1.70219E-01 7.38222E-02 2.703r9E 00 23 7.04930E-03 1.51343E-01 5.95178E-02 2.80661E 00 24 4.94035E-03 1.33699C-C 1 4.74307E-02 2.91265E OC 25 3.40067E-03 1.17261E-01' 3.73074E-02 3.%2123E 00 26 2.29796r-03 1.02007E-I 2.90,315E-02 3.13239E 00 27 1.52327E-03 8.79137E-2 2.234566E-02 3.24615E 00 28 9.89549E-04 7.495ePE-02 1.72195E-02 3.36255E 3C 29 6.29131E-04 6.31194E-C2 1.28325E-02 3.48162E 00 30 3.90750E-04 5.23731E-32 9.58217E-03 3.6C340E 00 31 2.36502E-04 4.26975E-02 7.08893E-03 3.72790E 00 32 1.39014E-04 3.470i4E-C2 5.19799E-03 3.85518E 00 33 7.89711E-05 2.6470CE-C2 3.77922E-03 3.98525E 00 34 4.30530E-05 1.98743E-22 2.72555E-03 4.11816E 00 35 2.22855E-05 1.42618E-02 1.95057E-03 4.25393E JO 36 1.u7664E-05 9.61389E-03 1.38583E-33 4.39260E Ci 37 4.71131E-06 5.9C 336E- 3 9.77783E-04 4.53420E 00 38 1.76303E-06 3.10901E-03 6.85428E-04 4.67877E 00 39 4.85595E-07 1.21587E-03 4.77568E-04 4.82633E 00 40 5.61308E-08 2.0C117E-04 3.30858F-04 4.97693E 0r 41 8.0625CE-09 4. 1C965E-'5 2.2812E-04 5.13059E 00 42 9.82050E-08 7.18319E-04 1.56377E-04 5.28735E 0OC 43 2.10007E-07 2.21147E-03 1.06776E-04 5.44725E 00 44 2.96014E-07 4.50336E-03 7.26192E-05 5.61 32E OC 45 3.43830E-07 7.565C6E-73 4.92165E-05 5.77659E 00 46 3.56866E-07 1.13857E-22 3.32551E-05 5.94609E 00 47 3.44076E-07 1.59426E-02 2.24136E-05 6.11887E 00 48 3.14948E-07 2.12163E-02 1.50765E-05 6.29496E 00 49 2.77413E-07 2.71875E-02 1.01268E-05 6.47439E 00 5C 2.37270E-07 3.3837CE-C2 6.79650E-06 6.6572CE 00 SUNM S(J) FOR R = 2.20717597E 00 SUM S(J) FOR P = 4.66040945E 00 89

WILLOW RUN LABORATORIES STRENGTHS AND F FACTORS OF THE V = 1 TO V = 2 TRANSITIONS OF HF TEMPERATURE = 500O.3 DEG. K R BRANCH P BRANCH J S(J) F(J) S(J) F(J) 0 3.53034E-02 9.46314E-01 1 6.69331E-02 8.93840E-C1 3.77359E-02 1.05582E 00 2 9.39026E-02 8.43452E-01 7.64831E-02 1.11352E 00 3 1.15531E-01 7.94821E-01 1.14732E-01 1.17310E 00 4 1.31467E-01 7.47921E-01 1.53984E-01 1.23461E OC 5 1.41686E-01 7.02726E-01 1.83853E-01 1.29807E 00 6 1.46460E-01 6.59209E-01 2.12152E-01 1.36351E 00 7 1.46309E-01 6.17343E-01 2.34966E-01 1.43095E 00 8 1.41938E-01 5.771C4E-01 2.51694E-01 1.50343E 00 9 1.34167E-01 5.38464E-01 2.62375E-01 1.57197E 00 1C 1.23865E-01 5.01398E-C1 2.66178E-01 1.64560E 00 11 1.11886E-01 4.65881E-01 2.64367E-01 1.72135E 00 12 9.93145E-02 4.31886E-G1 2.57256E-01 1.79926E 00 13 8.59355E-02 3.99389E-01 2.45638E-01 1.87934E 03 14 7.32066E-02 3.68365E-01 2.30425E-01 1.96164E 00 15 6.12511E-02 3.38788E-01 2.12573-01 22.4617E 00 16 5.03600E-02 3.10634E-01 1.93020E-01 2.13297E 00 17 4.07043E-02 2.83878E-01 1.72640E-01 2.22207E 00 18 3.23528E-02 2.58495E-01 1.52199E-01 2.31349E 00 19 2.52928E-02 2.34462E-01 1.32336E-01 2.40728E 00 20 1.94516E-02 2.11754E-01 1.13547E-01 2.50345E 00 21 1.47167E-02 1.90348E-01 9.61895E-02 2.60205E 00 22 1.09534E-02 1.70219E-01 8.04906E-02 2.7C309E 00 23 8.01875E-03 1.51343E-01 6.65617E-02 2.80661E 00 24 5.77275E-03 1.33699E-01 5,44194E-02 2.91265E 00 25 4.08515E-03 1.17261E-01 4.40065E-02 3.02123E 00 26 2.84017E-03 1.02007E-01 3.52119E-02 3.13239E 00 27 1.93849E-03 8.79137E-02 2.78896E-02 3.24615E 00 28 1.29754E-03 7.49588E-02 2.18749E-02 3.36255E 00 29 8.50588E-04 6.31194E-02 1.69966E-02 3.48162E 00 30 5.45069E-04 5.23731E-02 1.30874E-02 3.60340E 00 31 3.40586E-04 4.26975E-02 9.99041E-03 3.72790E 3C 32 2.06794E-04 3.40704E-02 7.56323E-03 3.85518E 00 33 1.21414E-04 2.64700E-02 5.68046E-03 3.98525E 00 34 6.84446E-05 1.98743E-02 4.23417E-03 4.11816E 00 35 3.66516E-05 1.42618E-02 3.13341E-03 4.25393E 00 36 1.83255E-05 9.61389E-03 2.30296E-03 4.39260E 00 37 8.30243E-06 5.90036E-03 1.68164E-03 4.53420E 00 38 3.21221E-06 3.10901E-03 1.22342E-03 4.67877E 00 39 9.18137E-07 1.21587E-03 8.80599E-04 4.82633E 00 40 1.09973E-07 2.00117E-04 6.31969E-04 4.97693E 03 41 1.63717E-08 4.10965E-05 4.51255E-04 5.13059E 00 42 2.06710E-07 7.16319E-04 3.20719E-04 5.28735E 00 43 4.58256E-07 2.21147E-03 2.2697DE-04 5.44725E 00 44 6.69659E-07 4.50338E-03 1.60003E-04 5.61332E 00 45 8.06400E-07 7.56506E-03 1.12404E-04 5.77659E 03 46 8.67664E-07 1.13857E-02 7.87254E-05 5.94609E 00 47 8.67140E-07 1.59426E-02 5.49946E-05 6.11887E 00 48 8.22594E-07 2.12163E-02 3.83359E-05 6.29496E 00 49 7.50724E-07 2.71875E-02 2.66801E-05 6.47439E 00 50 6.65075E-07 3.38370E-02 1.85481E-05 6.65720E 00 SUM S(J) FOR R = 1.92884642E 00 SUM S(J) FOR P = 4.26038778E 00 90

WILLOW RUN LABORATORIES STRENGTHS AND F FACTORS OF THE V = 0 TO V = 2 TRANSITIONS OF HF TEMPERATURE = 273.3 DEG. K R BRANCH P BRANCH J S(J) F(J) S(J) F(J) 0 9.43092E-01 9.73018E-01 1 1.48519E CO 9.47344E-01 7.94325E-01 1.02802E CO 2 1.41299E 00 9.22953E-01 1.05383F 00 1.05709E 00 3 9.63t 72E-01 8.98317E-01 8.45344E-01 1.06726E 00 4 4.96381E-01 8.74913E-01 4.85793E-01 1.11855i 00 5 1.98327E-01 8.52716E-01 2.11382E-01 1.15099E 00 6 6.22924E-02 8.31403E-01 7.13836E-32 1.1846C0E 00 7 1.55222F-02 8.10952E-01 1.89766E-02 1.21942E OC 8 3.08930E-03 7.91339E-C1 4.00673E-03 1.25549E 00 9 4.93758E-C4 7.72543E-01 6.77594E-04 1.29282E 00 if 6.36756E-05 7.54543E-01 9.21662F-05 1.33146E 00 11 6.65462E-n6 7.37319E-r1 1.01380E-05 1.37144E 00 12 5.65946E-07 7.2C851E-01 9.0593DE-07 1.41279E 00 13 3.93285E-08 7.05121E-01 6.60522E-08 1.45554E C0 14 2.24236E-09 6.9C110E-0 1 3.94636E-09 1.49974E 00 15 1.05336E-10 6.758UCE-01 1.94D38E-13 1.54541E 00 16 4.09422E-12 6.62174r-01 7.88573E-12 1.5926CE CO0 17 1.32246E-13 6.49216E-01 2.66064E-13 1.64134C 0C 18 3.56582E-15 6.36910E-01 7.48664E-15 1.69167C OC 19 R.06318E-17 6.25240E-01 1.76506E-16 1.74362E 0C 20 1.53634E-18 6.14193E-01 3.50330'E-18 1.79724E UO 21 2.47072E-20 6.03755E-01 5.88252E-23 1.85257E 00 22 3.4'331E-22 5.93912E-C 1 8.39849F-22 1.909640 00 23 3.99716E-24 5.84652E-01 1.02477E-23 1.9685CE 00 24. 4.C3713E-26 5.75963E-01 1.07433E-25 2.C2918tE r0 25 3.52546E-28 5.678340-01 9.72919E-28 2.09174E 30 26 2.67660E-30 5.6C25-E — 1 7.65323E-30 2.15622E 00 27 1.77679E-32 5.53214E-01 5.25893E-32 2.22264E OC 28 1.03725E-34 5.467C3E-C1 3.17495E-34 2.291u8E 00 29 5.3565CE-37 5.4C713E-C1 1.69402E-35 2.36155E 00 3C.OOOOOE 0 5.35237E-01.OOOOE 00 2.434122 00 31.OOCOOE GO 5.3C267E-01.000ODE OD 2.50883E 00 32.OC0COE CC 5.25796E-01.CCOGCD C3 2.58573E 00 33.00000E 0 5.219818-01. 00 3F 2 2.66485E O0 34.00000E tO 5.18328E-01.0C000~ 03 2.74626E 00 35.C0000E O0 5.15321E-01.000OEf 03 2.82999E 00 36.000C E 00 5.12793E-01.00GO03 03 2.91611E 00 37.00000E 00 5.10740E-01.0000E 03 3.00465-'0 38.00000E 00 5.0C9160E-01.OCuOO 03 3.C9567E 00 39.O0000E 00 5.08050E-31.0'0OOE 03 3.18923E 00 40.00000E 00 5.074C9E-01.OC000F C3- 3.2S536E UO: 41.0000nE 00 5.07236E-01.00000E DO 3.38414E 04 42.030)0 E 0O 5.07531E-01.C OOOE CO 3.48560E 0CD 43.03000E 00 5.08294E-01.00000E 03 3.58980E 00 44.0000nE 00 5.09526E-01.00003E 03 3.69680E 03 45.0000OE 00 5.11229E-01 C0309E 03 3.80665E 00 46.00000E 00 5.13405E-01.00000E 00 3.91941E 00 47.00003E 00 5.16057E-01.OOOOOE 00 4.03514E 00 48.00000E n0 5.19190E-01.00D30E 00 4.15389E 0G 49.0000E 00 5.22806E-01.OE0900 03 4.27572E 00 50.00030E 00 5.26912E-01.0OOOE 03 4.40068E 00 SUM S(J) FOR R = 5.58052021E 30 SUtM S(J) FOR P = 3.48552349E 00 91

WILLOW RUN LABORATO-RIES STRENGTHS AND F FACTORS OF THE V = 0 TO V = 2 TRANSITIONS OF HF TEMPERATURE = 373.3 DEG. K R BRANCH P BRANCH J S(J) F(J) (J)() F(J) 0 5.10079E-01 9.73018E-01 1 8.51226E-01 9.47044E-01 4.55263E-01 1.028G2E GJ 2 9.09354E-01 9.22053E-01 6.78209E-01 1.05709E 00 3 7.37340E-01 8.98017E-01 6.46977E-01 1.08726E 00 4 4.78889E-01 8.74913E-01 4.68674E-01 1.11855E 00 5 2.55317E-01 8.52716E-01 2.72124E-01 1.15099E 00 6 1.13274E-01 8.31403E-01 1.29805E-01 1.18460E 00 7 4.21864E-02 8.10952E-01 5.15749E-02 1.21942E 00 8 1.32715E-02 7.91339E-01 1.72212E-02 1.25549E CC 9 3.54397E-03 7.72543E-01 4.86346E-03 1.29282E 00 10 8.06611E-04 7.54543E-01 1.16752E-03 1.33146E O0 11 1.57047E-04 7.37319E-01 2.39255E-04 1.37144E 00 12 2.62465E-05 7.20851E-01 4.20137E-05 1.41279E 00 13 3.77757E-06 7.05121E-01 6.34442E-06 1.45554E 00 14 4.69739E-07 6.96110E-01 8.26699E-07 1.49974E 00 15 5.06299E-08 6.75800E-01 9.32642E-08 1.54541E 00 16 4.74550E-09 6.62174E-01 9.14013E-09 1.59260E 00 17 3.88082E-10 6.49216E-01 7.80778E-10 1.64134E 00 18 2.77846E-11 6.36910E-01 5.83354E-11 1.69167E 00 19 1.74755E-12 6.25240E-01 3.82546E-12 1.74362E 00 20 9.69049E-14 6.14193E-01 2.22971E-13 1.79724E 00 21 4.75481E-15 6.03755E-01 1.12842E-14 1.85257E 00 22 2.07212E-16 5.93912E-01 5.11345E-16 1.90964E 00 23 8.05101E-18 5.84652E-01 2.06408E-17 1.96850E 00 24 2.79989E-19 5.75963E-01 7.45085E-19 2.02918E 00 25 8.75034E-21 5.67834E-01 2.41483E-23 2.09174E 00 26 2.46762E-22 5.60254E-01 7.05568E-22 2.15622E 00 27 6.30540E-24 5.53214E-01 1.86627E-23 2.22264E 00 28 1.46615E-25 5.46703E-01 4.4878DE-25 2.29108E 00 29 3.11575E-27 5.40713E-01 9.85370E-27 2.36155E OC 30 6.0'828E-29 5.35237E-01 1.98420E-28 2.43412E O0 31 1.09343E-30 5.30267E-01 3.68079E-33 2.50883E 00 32 1.82217E-32 5.25796E-01 6.31912E-32 2.58573E )0 33 2.82615E-34 5.21818E-01 1.00868E-33 2.66485 00 34 4.09899E-36 5.18328E-01 1.50414E-35 2.74626E 00 35 OOOOOE 00 5.15321E-01.0000D E 03 2.82999E 00 36.00000E 00 5.12793E-01.00OODE 00 2.91611E 00 37.00000E 00 5.10740E-01.O00OE 03 3.00465E 00 38.00000E 00 5.09160E-01.00DE 03 3.09567E 00 39.00000E 00 5.08050E-01.0000E 00 3.189230 00 40.00000E 00 5.074C9E-01.00000E 00 3.28536E 00 41.0000E 00 5.07236E-01.0000E 00 3.38414E 00 42.00000E 00 5.07531E-01.00009E 03 3.48560E 00 43.000OE 00 5.08294E-G1.0000E 00 3.58980E 00 44.00000E 00 5.09526E-01.0000OE 00 3.69680E 00 45.00C'0E 00 5.11229E-01.00OOE 00 3.80665E 00 46.00000E 00 5.13405E-01.0000DE 03 3.91941E 00 47.0000E 00 5.16057E-01.000O3E 03 4.03514E 00 48.00000E 00 5.19190E-01.O000OE 00 4.15389E 00 49.O000O 00 5.22806E-01.0000E 00 4.27572E 00 50.000OE 00 5.26912E-01.0000OE 03 4.40068E 00 SUM S(J) FOR R = 3.91547558E 00 SUM S(J) FOR P = 2.72616690E 00 92

WILLOW RUN LABORATORIES STRENGTHS AND F FACTORS OF THE V = 8 TO V = 2 TRANSITIONS OF HF TEMPERATURE = 500.0 DEG. K R BRANCH P BRANCH J S(J) F(J) S(J) F(J) 2.85984E-01 9.73318E-01 1 4.96807E-01 9.47344E-31 2.65708E-01 1.C2802E 0? 2 5.75084E-01 9.22053E-31 4.28905E-01 1.057399E 0 3 5.25891E-01 8.98317E-01 4.61441E-01 1.t0726E 00 4 4.0b867E-01 8.74913E-31 3.92317E-01 1.11855E 03 5 2.6098nE-01 8.52716E-51 2.78160E-01 1.15099E CO 6 1.47073E-01 8.31403E-01 1.68538E-01 1.18460E 00 7 7.23509E-02 8.10952E-C1 8.84523E-02 1.21942E 00 0' 3.12535E-02 7.91339E-I1 4.05548F-02 1.25549E 0f 9 1.19082E-02 7.72543E-01 1.63418E-02 1.29282E 0O 11 4.01680E-03 7.54543E-01 5.81405E-03 1.33146E 00 11 1.20332E-03 7.37319E-01 1.83321E-03 1.37144E 00 12 3.21076[-04 7.20851E-01 5.13958E-34 1.41279E 00 13 7.65131E-05 7.05121E-01 1.28504E-04 1.45554E 00 14 1.63270E-05 6.90110E-01 2.87341F-05 1.49974E 00 15 3.12783E-06 6.758C0E-01 5.76170F-06 1.54541E 0' 16 5.39342E-C7 6.62174E-01 1.03881E-06 1.59260E 00 17 8.39265E-08 6.49216E-n1 1.68851E-07 1.64134E 0O 18 1.18165E-08 6.36910E-01 2.48094E-08 1.69167E 00 19 1.50937E-09 6.25240E-01 3.30407E-,,9 1.74362E 00?2 1.75390E-10 6.14193E-01 3.99939E-13 1.79724E'0 21 1.85919E-11 6.03755E-01 4.41227E-11 1.85257E 00 22 1.8J298E-12 5.93912E-01 4.44928E-12 1.90964E 00 23 1.63421E-13 5.84652E-01 4.1128FE-13 1.96850E 00 24 1.31349E-14 5.75963E-01 3.49535E-14 2.02918E 00 25 9.92656E-16 5.67834E-01 2.73943E-15 2.09174E 00 26 6.94578E-17 5.60254E-01 1.98601E-16 2.15622E 30 27 4.51396E-18 5.53214E-01 1.33604E-17 2.22264E 00 28 2.73339E-19 5.467C3E-01 8.36674E-19 2.29108E 00 29 1.54729E-20 5.407130-01 4.89337E-23 2.36155E 00 30! 8.21498F-22 5.35237E-01 2.68170E-21 2.43412E 00 31 4.10467E-23 5.30267E-D1 1.38175F-22 2.50883E 0G 32 1.93678E-24 5.25796E-01 6.71661E-24 2.58573E 00 33 8.66030E-26 5.21818E-01 3 3.C9294E-25 2.66485E 00 34 3.68282E-27 5.18328E-01 1.35142E-26 2.74626E 0o 35 1.49485E-28 5.15321E-01 5.63409E-28 2.P2999E 00 36 5.81283E-30 5.12793E-01 2.24795E-29 2.91611E 00 37 2.17361E-31 5.10740E-31 8.61613E-31 3.00465'00 38 7.84600E-33 5.0916DE-01 3.18467E-32 3.09567E 00 39 2.74466E-34 5.08050F-01 1.13958E-33 3.18923E 03 40 9.34201E-36 5.074C09-01 3.96363E-35 3.28536E 0^ 41.00000E 00 5.07236E-01 1.34554[-36 3.38414E 30' 42.00000 00 5.07531E-01.00000 03 3.4856CE 00 43.0000QE 00 5.08294E-01.30000E 0 3.58980E 00 44.00000E 00 5.09526E-01.00000e 09 3.69680E 00 45.0000Q E 00 5.11229E-01.O0000E 03 3.80665E 00 46.OOOOOE 00 5.13405E-01.00003E 03 3.91941E 00 47.00000E 00 5.16357E-01.003C3E 03 4.03514E 00 48.00000E 00 5.19190E-01.OOOOOE 00 4.15389E 00 49.OO000E 00 5.22806E-01.00D00E 03 4.27572E 00 50.000OE 00 5.26912E-01.0000E 03 4.40068E 00 SlUM S(J) FOR R = 2.81383610E 2r0 SUM S(J) FOR P = 2.14874214E 2O 93

WILLOW RUN LABORATORIES STRENGTHS AND F FACTORS OF THE V = 0 TO V = 2 TRANSITIONS OF HF TEMPERATURE = 1000.3 DEG. K R BRANCH P BRANCH J S(J) F(J) S(J) F(J) 0 7.17010E-02 9.73018E-01 1 1.32148E-01 9.47044E-01 7.06768E-02 1.02802E 00 2 1.72168E-01 9.22053E-01 1.28405E-01 1.05709E 00 3 1.87957E-01 8.9e317E-31 1.64921E-01 1.08726E 00 4 1.81386E-01 8.74913E-01 1.77516E-01 1.11855E 00 5 1.58499E-01 8.52716E-01 1.68931E-01 1.15099E 00 6 1.27052E-01 8.31403E-01 1.45593E-01 1.18460E 00 7 9.41775E-02 8.10952E-01 1.15135E-01 1.21942E 00 8 6.49C32E-02 7.91339E-01 8.42176E-02 1.25549E 00 9 4.17481E-02 7.72543E-01 5.72908E-02 1.29282E 00 10 2.51408E-02 7.54543E-01 3.63888E-02 1.33146E 00 11 1.42090E-02 7.37319E-01 2.16463E-02 1.37144E 00 12 7.55288E-03 7.20851E-01 1.20898E-02 1.41279E 00 13 3.78307E-03 7.05121E-01 6.35346E-03 1.45554E 00 14 1.78860E-03 6.90110E-01 3.14766E-03 1.49974E 00 15 7.99509E-04 6.75800E-01 1.4727DE-03 1.54541E 00 16 3.38422E-04 6.62174E-01 6.51791E-04 1.59260E O 17 1.35858E-04 6.49216E-01 2.73316E-04 1.64134E 00 18 5.18034E-05 6.36910E-01 1.08757E-04 1.69167E 00 19 1.87902E-05 6.25240E-01 4.11294E-05 1.74362E 00 2C 6.49319E-06 6.14193E-01 1.48051E-05 1.79724E 00 21 2.14G91E-06 6.03755E-01 5.08035E-06 1.85257C 00 22 6.74554E-07 5.93912E-01 1.66444E-06 1.90964E 00 23 2.03415E-07 5.84652E-01 5.21440E-07 1.96850E 00 24 5.88004E-08 5.75963E-01 1.56452E-07 2.02918E 00 25 1.63191E-OR 5.67834E-01 4.50281E-08 2.09174E 00 26 4.35541E-09 5.6C254E-01 1.24513E-38 2.15622E 00 27 1.11957E-09 5.53214E-01 3.31323F-09 2.22264E 00 28 2.77712E-10 5.467C3E-01 8.49837E-10 2.29138E 00 29 6.65694E-11 5.40713E-01 2.10465E-13 2.36155E 00 30 1.54478E-11 5.35237E-01 5.04131E-11 2.43412E 00 31 3.47635E-12 5.30267E-01 1.16975E-11 2.50883E 00 32 7.59985E-13 5.25796E-01 2.63430E-12 2.58573E.00 33 1.61690E-13 5.21818E-01 5.76763E-13 2.66485E 00 34 3.35383E-14 5.18328E-01 1.22993E-13 2.74626E 00 35 6.79479E-15 5.15321E-01 2.55900E-14 2.82999E 00 36 1.34708E-15 5.12793E-01 5.20485E-15 2.91611E 00 37 2.61830E-16 5.10740E-01 1.03681E-15 3.00465E 00 38 4.99906E-17 5.09160E-01 2.02665E-15 3.09567E 00 39 9.39413E-18 5.08050E-01 3.89491E-17 3.18923E O0 40 1.74098E-18 5.07409E-01 7.37438E-18 3.28536E 00 41 3.18852E-19 5.07236E-01 1.37833E-18 3.38414E 00 42 5.78305E-20 5.07531E-01 2.54854E-19 3.48560E 00 43 1.04095E-20 5.08294E-01 4.67172E-23 3.5898CE 00 44 1.86370E-21 5.09526E-01 8.50892E-21 3.69680E 00 45 3.32643E-22 5.11229E-01 1.54343E-21 3.80665E 00 46 5.93288E-23 5.13405E-01 2.79459E-22 3.91941E 00 47 1.05997E-23 5.16057E-01 5.06358E-23 4.03514E 00 48 1.90180E-24 5.19190E-01 9.20460E-24 4.15389E 00 49 3.43574E-25 5.22806E-01 1.68312E-24 4.27572E 00 50 6.26689E-26 5.26912E-01 3.10448E-25 4.40068E 00 SUM S(J) FOR R = 1.28556763E 00 SULM S(J) FOR P = 1.19488102E 00 94

WILLOW RUN LABORATORIES STRENGTHS AND F FACTORS OF THE V = 0 TO V = 2 TRANSITIONS OF HF TEMPERATURE = 1500.0 DEG. K R BRANCH P BRANCH J S(J) F(J) S(J) F(J) 0 3.12054E-02 9.73018E-01 1 5.86591E-02 9.47044E-01 3.13708E-02 1.02802E 00 2 7.94969E-02 9.22053E-01 5.92835E-02 1.05709E 00 3 9.23682E-02 8.98017E-01 8.07727E-02 1.08726E 30 4 9.61187E-02 8.74913E-01 9.40501E-02 1.11855E 00 5 9.26486E-02 8.52716E-01 9.8723?E-02 1.15099E 00 6 8.35232E-02 8.31403E-01 9.56848E-02 1.18460E 00 7 7.09787E-02 8.10952E-01 8.67449E-02 1.21942E 00 8 5.71571E-02 7.91339E-01 7.41379E-02 1.25549E 00 9 4.37775E-02 7.72543E-01 5.00492E-02 1.?9282E 0d 12 3.19813E-02 7.54543E-01 4.62666E-02 1.33146E 00 11 2.23345E-02 7.37319E-01 3.40055E-02 1.37144E D0 12 1.49382E-02 7.20851E-01 2.38963E-02 1.41279E C0 13 9.58440E-03 7.05121E-01 1.60850E-02 1.45554E 00 14 5.90740E-03 6.90110 —f1 1.03879E-02 1.49974E O0 15 3.50238E-03 6.7580nE-01 6.44569E-03 1.54541E 00 16 1.99987E-03 6.62174E-01 3.84793E-03 1.59260E 0C 17 1.10109E-03 6.49216E-01 2.21272E-03 1.64134E 00 18 5.85218E-04 6.36910E-01 1.22713E-03 1.69167E CO 19 3.00589E-04 6.25240E-01 6.57072E-04 1.74362E 00 20 1.49371E-04 6.14193E-01 3.40076E-04 1.79724E 00) 21 7.18909E-05 6.03755E-01 1.70316E-04 1.85257E 00 22 3.35481E-05 5.93912E-01 P.26288E-05 1.90964E &D 23 1.51958E-05 5.84652E-01 3.88754E-05 1.96850E 00 24 6.68839E-06 5.75963E-01 1.77566E-05 2.02918E 00 25 2.86379E-06 5.67834E-01 7.88247E-06 2.09174E 3' 26 1.19417E-06 5.60254E-01 3.40457E-05 2.15622E JO 27 4.85496E-07 5.53214E-01 1.43234E-C6 2.22264E 00 28 1.92661E-07 5.46703E-01 5.87618E-07 2.29108E OC 29 7.47126E-08 5.4C713E-C1 2.35345E-07 2.36155E 00 30 2.83456E-08 5.35237E-01 9.21242E-08 2.43412[ 0C 31 1.05337E-08 5.30267E-01 3.5286DE-08 2.50883E 00 32 3.83881E-09 5.25796E-01 1.32404E-08 2.58573E 00 33 1.37358E-09 5.21818E-01 4.87289E-09 2.66485E CO 34 4.83153E-10 5.18328E-01 1.76107E-09 2.74626E rJ 35 1.67272E-10 5.15321E-01 6.25753E-13 2.82999E 00 36 5.70705E-11 5.12793E-01 2.18878E-13 2.91611E 00 37 1.92133E-11 5.10740E-01 7.54603E-11 3.00465E 00 38 6.39082E-12 5.09160E-01 2.56748E-11 3.09567E 00 39 2.10302E-12 5.0805CE-01 8.63240E-12 3.18923E 00 40 6.85560E-13 5.07409E-01 2.87189E-12 3.26536E 0O 41 2.21694E-13 5.07236E-01 9.46681E-13 3.38414E 00 42 7.12151E-14 5.07531E-01 3.09629E-13 3.48560E 00 43 2.27573E-14 5.08294E-01 1.00623E-13 3.58980E 00 44 7.24498E-15 5.09526E-01 3.25388E-14 3.69680E 00 45 2.30130E-15 5.11229E-01 1.04860E-14 3.80665E 00 46 7.30469E-16 5.13405E-01 3.37285E-15 3.91941E 00 47 2.32070E-16 5.16057E-01 1.08457E-15 4.03514E 00 48 7.39165E-17 5.19190E-01 3.49232E-15 4.15389E 00 49 2.36437E-17 5.22806E-01 1.12803E-15 4.27572E 00 50 7.60881E-18 5.26912E-01 3.66148E-17 4.40068E C0 SUM S(J) FOR R = 7.98149890E-01 SUM S(J) FOR P = 8.26512194E-01 95

WILLOW RUN LABORATORIES STRENGTHS AND F FACTORS OF THE V = TO V = 2 TRANSITIONS OF HF TEMPERATURE = 2000.3 DEG. K R BRANCH P BRANCH J S(J) F(J) S(J) F(J) 0 1.67967E-02 9.73018E-01 1 3.18893E-02 9.47044E-01 1.7ro01E-02 1.02802E 00 2 4.408C4E-02 9.22053E-01 3.28588E-02 1.05709E 00 3 5.25840E-02 8.98017E-01 4.61060E-02 1.08726E 00 4 5.71014E-02 8.74913E-01 5.58308E-02 1.11855E 00 5 5.78094E-02 8.52716E-01 6.15431E-02 1.15099E 00 6 5.52698E-02 8.314C3E-01 6.32478E-02 1.18460E 00 7 5.02919E-02 8.10952E-01 6.13840E-02 1.21942E 00 8 4.377R5E-02 7.91339E-01 5.67C07E-02 1.25549E 00 9 3.65892E-02 7.72543E-01 5.01349E-02 1.29222E 00 10 2.94410E-02 7.54543E-01 4.25113E-02 1.33146E 00 11 2.28550E-02 7.37319E-01 3.47248E-02 1.37144E 00 12 1.71471E-02 7.20851[-01 2.73655E-02 1.41279E 00 13 1.24514E-02 7,05121E-01 2.08427E-02 1.45554E OD 14 8.76248E-03 6.90110E-01 1.53647E-02 1.49974E 00 15 5.98293E-03 6.75800E-01 1.09766E-02 1.54541E 00 16 3.96773E-03 6.62174E-01 7.60826E-03 1.59260E 00 17 2.55826E-03 6.49216E-01 5.1219BE-03 1.64134E 00 18 1.60522E-03 6.36910E-01 3.35239E-03 1.69167E 00 19 9.81102E-04 6.25240E-01 2.13523E-03 1.74362E 00 20 5.84614E-04 6.14193E-01 1.32467E-03 1.79724E 00 21 3.39926E-04 6.03755E-01 8.01164E-04 1.15257E 00 22 1.93036E-04 5.93912E-01 4.72792F-04 1.9C964E 00 23 1.07154E-04 5.84652E-01 2.72475E-04 1.96850E 00 24 5.81928E-05 5.75963E-01 1.53484E-04 2.02918E 00 25 3.09456E-05 5.67834E-01 8.45767E-05 2.09174 00n 26 1.61278E-05 5.60254E-01 4.56309E-05 2.15622E 00 27 8.24476E-06 5.53214E-01 2.41247E-05 2.22264E 00 2b 4.13797E-06 5.46703E-01 1.25393E-05 2.29108E 00 29 2.04074E-06 5.40713E-01 6.36715E-06 2.36155E 03 30 9.89840E-07 5.35237E-01 3.18405E-06 2.43412E 00 31 4.72619E-07 5.30267E-01 1.56573E-06 2.50883E 00 32 2.22340E-07 5.25796E-01 7.57778E-07 2.58573E 00 33 1.03153E-07 5.2181eE-01 3.61279E-07 2.66485E 00 34 4.72399E-C8 5.18328E-01 1.69829E-07 2.74626E 00 35 2.13747E-08 5.15321E-01 7.87858E-08 2.82999E 00 36 9.56457E-09 5.12793E-01 3.61036E-08 2.91611E 00 37 4.23664E-09 5.1C740E-01 1.63579E-08 3.00465E 00 38 1.85947E-09 5.09160E-01 7.33491E-09 3.09567E 00 39 8.09460E-10 5.C8050E-01 3.25814E-09 3.18923E 00 40 3.49844E-10 5.07409E-01 1.4351DE-09 3.28536E 00 41 1.50269E-10 5.07236E-01 6.27433[-10 3,38414E 00 42 6.42138E-11 5.07531E-01 2.72566E-10 3.48560E 00 43 2.73283E-11 5.08294E-01 1.17774E-13 3.58980E 00 44 1.15956E-11 5.09526E-01 5.06723E-11 3.69680E 00 45 4.91078E-12 5.11229E-01 2.17329F-11 3.80j665E 00 46 2.07817E-12 5.13405E-01 9.3(216E-12 3.91941E 00 47 8.79823E-13 5.16057E-01 3.97817E-12 4.03514E 00 48 3.73094E-13 5.1919CE-01 1.70195E-12 4.15389E 00 49 1.58669E-13 5.22806E-01 7.29336E-13 4.27572E 00 50 6.77613E-14 5.26912E-01 3.13472E-13 4.40068E 00 SUM S(J) FOR = 5.53288865E-01 SUM S(J) FOR P = 6.18033606E-01 96

WILLOW RUN LABORATORIES STRENGTHS AND F FACTORS OF THE V = 0 TO V = 2 TRANSITIONS OF HF TEMPERATURE = 2500.0 DEG. K R BRANCH P BRANCH J StJ) F(J) S(J) F(J) 0 1.01060E-02 9.73018E-01 1 1.93031E-02 9.47044E-01 1.03161E-02 1.02802E 00 2 2.70033E-02 9.22053E-01 2.01138E-02 1.05709E 00 3 3.27918E-02 8.98017E-01 2.87216E-02 1.08726E 00 4 3.64623E-02 8.74913E-01 3.56021E-02 1.11855E 00 5 3.80200E-02 8.52716E-01 4.04074E-02 1.15099E Ol 6 3.76560E-02 8.31403E-01 4.30052E-02 1.18460E 00 7 3.57005E-02 8.10952E-01 4.34729E-02 1.21942E 30 8 3.25643E-02 7.91339E-01 4.20641E-02 1.25549E 02 9 2.86807E-02 7.72543E-01 3.91569E-02 1.29282E 00 lo 2.44551E-02 7.54543E-01 3.51931E-02 1.33146E 00 11 2.02287E-02 7.37319E-01 3.06199E-02 1.37144E 00 12 1.62595E-02 7.20851E-01 2.58426E-02 1.41279E 00 13 1.27172E-02 7.05121E-31 2.11918E-02 1.45554E 00 14 9.69024E-03 6.90110E-01 1.69081E-02 1.49974C 0 15 7.20113E-03 6.75800E-01 1.31411E-02 1.45541E 00 16 5.22403E-03 6.62174E-01 9.95946E-03 1.59260E 00 17 3.70287E-03 6.49216E-01 7.36744E-03 1.64134E 0, 18 2.56663E-03 6.36910E-01 5.32422E-03 1.69167E 00 19 1.74111E-03 6.2524QE-01 3.76195E-03 1.74362E 00 20 1.15682E-03 6.14193E-01 2.60093E-03 1.79724E 00 21 7.53371E-04 6.03755E-01 1.76089E-03 1.85257E 00 22 4.81258E-04 5.93912E-01 1.16827E-03 1.93964E 00 23 3.01779E-04 5.84652E-01 7.60114E-04 1.96850E 00 24 1.85891E-04 5.75963E-01 4.85341E-04 2.02918E 00 25 1.12565E-04 5.67834E-01 3.04339E-04 2.09174E 00 26 6.70547E-05 5.60254E-01 1.87548E-04 2.15622E 00 27 3.93237E-05 5.53214E-C1 1.13664E-04 2.22264E 00 28 2.27191E-05 5.46703E-01 6.77934[-35 2.29108E 00 29 1.29406E-05 5.40713E-01 3.98213E-05 2.36155E DO 30 7.27211E-06 5.35237E-31 2.30523E-05 2.43412E 00 31 4.03484E-06 5.30267E-01 1.31610E-05 2.50883E 00 32 2.21193E-06 5.25796E-01 7.41575E-05 2.58573E 00 33 1.19899E-06 5.21818E-01 4.12687E-05 2.6b485E 00 34 6.43113E-07 5.18328E-01 2.26987E-05 2.74626E 00 35 3.41593E-07 5.15321E-01 1.23485E-06 2.82999E 00 36 1.79809E-07 5.12793E-01 6.64945E-07 2.91611E 0r 37 9.38704E-08 5.1C740E-01 3.54679E-07 3.00465E 00 38 4.86402E-08 5.09160E-01 1.87540E-07 3.09567E GO 39 2.50354E-08 5.08050E-01 9.83775E-08 3.18923E 0' 40 1.28100E-08 5.07409E-01 5.12366E-08 3.28536E )0 41 6.52130E-09 5.07236E-01 2.65151E-08 3.38414E 00 42 3.30569E-09 5.07531E-01 1.36455E-08 3.48560E 00 43 1.66993E-09 5.08294E-01 6.98916E-09 3.58980E 00 44 8.41419E-10 5.09526E-01 3.56592E-09 3.69680E 00 45 4.23237E-10 5.11229E-01 1.81389E-09 3.80665E 00 46 2.12716E-10 5.13405E-01 9.20723E-10 3.91941E 00 47 1.06920E-10 5.16057E-01 4.66801E-13 4.03514E 00 4P 5.37980E-11 5.19190E-01 2.36611E-10 4.15389E 00 49 2.71235E-11 5.22806E-01 1.20025E-13 4.27572E 00 50 1.37160E-11 5.26912E-01 6.09949E-11 4.40068E 00 SUM S(J) FOR R = 4.05224150E-01 SUM S(J) FOR P = 4.79710966E-01 97

WILLOW RUN LABORATO-RIES STRENGTHS AND F FACTORS OF THE V = 0 TO V = 2 TRANSITIONS OF HF TEMPERATURE = 3000.3 DEG. K R BRANCH P BRANCH J S(J) F(J) S(J) F(J) 6.51737E-03 9.73018E-01 1 1.2500?E-02 9.47344E-!1 6.67637E-03 1.02832E 00 2 1.76275E-02 9.22053E-01 1.31172E-C2 1.05709E 00 3 2.16637E-02 8.98017E-01 1.89484E-02 1.08726- 00 4 2.44734E-02 8.74913E-Cl 2.38534E-02 1.11855E 00 5 2.60274E-02 8.52716E-01 2.76911E-02 1.15039E 00 6 2.63933E-02 8.31493E-01 3.00642E-02 1.18460E 00 7 2.57180E-02 8.1C952E-01 3.12226F-02 1.21942E 00 9 2.42022E-02 7.91339E-01 3.11549E-G2 1.25549E J( 9 2.20741E-C? 7.72543E-01 3.00204-02 1.29232E 203 1) 1.95638E-02 7.54543E-j1 2.80328E-02 1.33146E O0 11 1.68824E-02 7.37319E-01 2.54331F-02 1.37144E )00 12 1.4207PE-02 7.20 51EC-1 2.24638E-02 1.41279E 00 13 1.16763E-02 7.0121E-01 1.934656-02 1.45554E -0 14 9.38138E-03 6.9C 11E-01 1.62681F-02 1.49974E 00 15 7.37632E-03 6.75800E-C 1 1.33711E-02 1.54541E t0 16 5.68086E-03 6.62174E-01 1.07526E-02 1.59260E 90 17 4.28891E-033 6.49216E-01 8.46771F-03 1.64134E 00 18 3.17665E-03 6.36910E-01 6.53534E-03 1.69167E 0 19 2.30991E-03 6.2524C'L-1 4.94702E-03 1.74362E 00 2C 1.65016E-03 6.14193E-01 3.67535F-03 1.79724E )0 21 1.15892E-03 6.C3755E-'1 62.68180-033 1.85257E OC9 22 9.00682E-04 5.93912E-01 1.92313E-G3 1.90964E o0 23 5.44531E-04 5.84652E- 1 1.35618[-03 1.96850E 0C 24 3.64769E — 4 5.75963E- 1 9.41077E-04 2. C2918E 30C 25 2.40833E-04 5.67834E —1 6.42979E-04 2.C9174E 39 26 1.56815E-04 5.6C254E-01 4.32805E-04 2.15622r O0 27 1.00763E-04 5.53214E-j1 2.87194E-04 2.22264E C 28 6.39329F-05 5.46703E-01 1.87976F-04 2.291'8E 00 29 4.00799E-n5 5.4L713E-01 1.21433E-94 2.36155E.00 30 2.48413E-05 5.35237E-01 7.74699E-05 2.43412E 00 31 1.52314E-05 5.30267E- 1 4.88377E-05 2.50)e83 J0 32 9.24464E-06 5.25796E-31 3.34412F-05 2.58573E O0 33 5.55772E-06 5.21818E-01 1.87721E-05 2.66485E 00 34 3.31156E-06 5.18328E-01 1.14598E-05 2.74626E 00 35 1.95692E-06 5.15321E-01 6.92971[-05 2.P2999E 00 36 1.14760E-06 5.12793E-01 4.15333F-06 2.91611E 30 37 6.68287E-07 5.10740E-C1 2.46883E-06 3.00465E 00 38 3.86699E-07 5.C9160E-01 1.45637E-06 3.09567E OG 39 2.22487E-07 5.0350E-01.53135E-37 3.18923E 00 40 1.27362E-07 5.':7409E-01 4.96603E-07 3.28536E'0 41 7.25891E-08 5.07236E-01 2.87427E-07 3.38414E 00 42 4.12185E-08 5.07531E-01 1.65527E-07 3.46560E 00 43 2.33347E-08 5.08294E-01 9.49138E-08 3.5;)9,)E UO 44 1.31796E-08 5,09526E-01 5.42264E-08 3.6968GE 00 45 7.43195E-09 5.11229E-01 3.08907E-08 3.80665E 00 46 4.18716E-09 5.13405E-01 1.75589E-08 3.91941E 30 47 2.35971E-09 5.16057E-nl 9.96673E-09 4.53514E JO 48 1.32953E-09 5.19190E-'l 5.65371E-09 4.15389E 00 49 7.50456E-10 5.22806E-01 3.20771E-n9 4.27522E 00 50 4.24527E-10 5.26912E-01 1.82181E-09 4.40068E 00 SUM S(J) FOR R = 3.06925753E-01 SUM S(J) FOR P = 3.80730620E-01 98

WILLOW RUN LABORATORIES STRENGTHS AND F FACTORS OF THE V = 3 TO V = 2 TRANSITIONS OF HF TEMPERATURE = 3500.0 DEG. K R BRANCH P BRANCH J S J( ) F(J) S(J) F(J) F) 4.41137E-03 9.73018E-01 1 8.48636E-03 9.47044E-01 4.52967E-03 1.02802E 00 2 1.20372E-02 9.22353E-C1 8.94744E-03 1.05709E 00 3 1.49210E-02 8.98317E-01 1.30309E-02 1.08726E 00 4 1.70491E-02 8.74913E-01 1.65843E-02 1.11855E 00 5 1.83898E-02 8.52716E-01 1.94545E-02 1.15099E 00 6 1.89658E-02 8.31403E-01 2.15416E-02 1.1846CE 02 7 1.88465E-02 8.10952E-01 2.28343E-02 1.21942E 0O 8 1.81358E-02 7.91339E-01 2.32575E-02 1.25549E 0) 9 1.69596E-02 7.72543E-01 2.29668E-02 1.29282E 00 10 1.54519E-02 7.54543E-01 2.20366E-02 1.33146E 00 11 1.37435E-02 7.37319E-01 2.05969E-02 1.37144E 03 12 1.19520E-02 7.20851E-01 1.87899E-02 1.41279E 00 13 1.01758E-02 7.05121lE-1 1.67565E-02 1.45554E 00 14 8.49108E-03 6.90110E-01 1.46261E-02 1.49974E 3') 15 6.95073E-03 6.75800r-01i 1.25092E-02 1.54541E 0 16 5.58652E-03 6.62174E —01 1.04927E-02 1.5926JE 30 17 4.41194E-03 6.49216E-01 8.63897E-03 1.64134E 00 18 3.42612E-03 6.36919E-01 6.98681E-03 1.69167E O0 19 2.61789E-03 6.25243E-01 5.55438E-03 1.74362E 0' 20 1.96948E-03 6.14193E-01 4.34323E-33 1.79724E 0) 21 1.45971E-03 6.03755E-01 3.34254E-33 1.85257E 00 22 1.06648E-03 5.93912E-01 2.53327E-03 1.90964E 00 23 7.68532E-04 5.84652E-01 1.89179E-03 1.96850E 30 24 5.46558E-04 5.75963E-01 1.39281E-03 2.02918E 00 25 3.83812E-04 5.67834E-01 1.01152E-03 2.09174E 00 26 2.66286E-04 5.60254E-01 7.25018E-04 2.15522E 30 27 1.82626E-04 5.53214E-1 5.13152E-04 2.22264E 00 23 1.23878E-04 5.46703E —1 3.58834E-04 2.291u8E 00 29 8.31542E-05 5.40713E-01 2.48037E-04 2.36155E 00 30 5.52665E-05 5.35237E-01 1.69567E-04 2.43412E 30 31 3.63884E-05 5.30267E-01 1.14708E-04 2.50883E 00 32 2.37478E-05 5.25796E-01 7.68237E<05 2.58573E 00 33 1.53701E-05 5.21818E-01 5.09655E-05 2.66485E 03 34 9.87088E-06 5.18328E-01 3.35090E-05 2.74626E 0: 35 6.29363E-06 5.15321E-01 2.18464E-05 2.82999E 0) 36 3.986C9E-06 5.12793E-01 1.41306E-05 2.91611E 30 37 2.50919E-06 5.1074CE-01 9.07268E-06 3.00465E CC 38 1.57072E-06 5.09160E-01 5.78544E-05 3.09567E 0 39 9.78328E-07 5.08050E-0-1 3.66608E-05 3.18923E 00 40 6.06647E-07 5.07409E-01 2.30978r-06 3.28536E 00 41 3.74713E-07 5.07236E-01 1.44772E-06 3.38414E 00 42 2.30686E-07 5.07531E-J1 9.03214E-07 3.4856CE 0" 43 1.41630E-07 5.08294E-01 5.61231E-07 3.5898CE 0! 44 8.67669E-08 5.09526E-01 3.47532E-07 3.69680E 30 45 5.30740E-08 5.11229E-01 2.14593E-07 3.80665E 00 46 3.24339E-08 5.13405E-01 1.32212E-07 3.91941E 00 47 1.98141E-08 5.16057E-01 8.13281E-08 4.03514E 0) 48 1.21083E-08 5.19190E-01 4.99819E-08 4.15389E 00 49 7.40629E-09 5.22806E-01 3.07104E-08 4.27572E 00 5C 4.53748E-09 5.26912E-01 1.88785E-08 4.40068E C0 SUM S(J) FOR- R = 2.38018366E-01 SUM S(J) FOR P = 3.06971365E-01 99

WILLOW RUN LABORATORIES STRENGTHS AND F FACTORS OF THE V = 0 TO V = 2 TRANSITIONS OF HF TEMPERATURE = 4000.0 DEG. K R BRANCH P BRANCH J S(J) F(J) S(J) F(J) 3.09650E-03 9.73018E-01 1 5.97067E-03 9.47044E-C1 3.18477E-03 1.028L2E 00 2 8.50629E-03 9.22053E-01 6.31583E-03 1.057j9E 30 3 1.06129E-02 8.98017E-01 9.254C02-03 1.18726E 00 4 1.22308E-02 8.74913E-Cl 1.18735E-02 1.11855E 00 5 1.33337E-02 8.52716E-01 1.40713E-C2 1.15C99f OC 6 1.39270E-02 8.31403E-01 1.57725E-02 1.18460E 00 7 1.40447E -02 8.1C952E-01 1.69369E-02 1.21942E 00 8 1.37433E-02 7.91339E-01 1.75573E-02 1.25549E 00 9 1.30953E-02 7.72543E-01 1.76578E-02 1.29282E 00 10 1.21811E-02 7.54543r-01 1.72894E-02 1.33146E O0 11 1. 1828E-02 7.37319E-91 1.65228E-02 1.37144E 012 9.87824E-03 7.20851E-01 1.54413F-C2 1.41279E 00 13 8.63613[-03 7.05121E-01 1.41333E-C2 1.45554E 4 r 14 7.41303E-03 6.90110E-C1 1.26851F-02 1.49974E C) 15 6.25478E-03 6.75800E-01 1.11762E-02 1.54541E 0) 16 5.19C57E-03 6.62174E-01 9.67448E-03 1.59260E 00 17 4.23992E-03 6.49216E-C1 8.23448E-03 1.64134E 00 18 3.41138E-03 6.36910E-01 6.89649E-03 1.69167E 00 19 2.73523E-033 6.2524CE-01 5.687901-03 1.74352E 00 20 2.11561E-03 6.14193E-01 4.62D24E-03 1.79724E 00 21 1.63257E-03 6.03755E-31 3.73312E-03 1.R5257E 00 22 1.24379E-03 5.93912E-31 2.92262E-03 1.90964E 00 23 9.36020E-04 5.84652E-01 2.2 7802E-03 1.968501E 00 24 6.961711-04 5.75963E-01 1.75303F-03 2.02918E 00 25 5.11983'-04 5.67834E-01 1.33255E-03 2.C9174E 00 26 3.72495E-C4 5.60254E-01 1.l 103E-03 2.15622E 00 27 2.682400-n4 5.53214E-C1 7.43502f-04 2.22264E 00 28 1.91283E-04 5.467i3E-01 5.46255E-04 2.29108E 00 29 1.35142C-04 5.4C713E-C1 3.9718OE-04 2.36155E 00 30 9.46393E-C5 5.35237E-1l 2.85928E-04 2.43412E 00 31 6.57249E-05 5.3C-267E-01 2.03894F-C4 2.50833E 00 32 4.52870E-05 5.25796E-01 1.44088r-04 2.58573E 00 33 3.C9748E-05 5.21818E-01 1.00955E-04 2.66485E C 34 2.104001E-05 5.18328E-01 7.01623E -5 2. 74626E 1 J D 35 1.420!?nE-05 5. 15321E-01 4.83899E-05 2.82999E OC 36 9.52683E-06 5.12793E-01 3.31347E-05 2.91611E 00 37 6.35670E-06 5.1C740E-1-1 2.25366E-05 3.C0465t 00 38 4.22036E-06 5.C9160E-01l 1.52327E-05 3.C9567E 0S 39 2.78941E-06 5.08C50E-01 1.02366[-05 3.18923E o0 40 1.83625E-06 5.074C9E-C1 6.84272E-06 3.28536E C0 41 1.23454E-06 5.07236E-01 4.55208E-05 3.38414E 03 42 7.87758E-07 5.0.7531E-01 3.01519E-05 3.4856C-E C11 43 5.13886E-07 5.08294E-01 1.98957E-06 3.58980E JC 44 3.34551E-07 5.09526E-01 1.30847E-06 3.69680E 00 45 2.17471E-07 5.11229E-01 8.58148E-07 3.80665E 00 46 1.41224E-07 5.13405E-01 5.61543E-07 3.91941E 11 47 9.16664E-08 5.16057E-01 3.66832E-07 4.n3514E 00 48 5.95031E-08 5.19191E-01 2.39366[-07 4.15389E 00 49 3.86483E-08 5.22806E-01 1.56107E-07 4.27572E 00 50 2.51316E-08 5.26912E-01 1.01816[-07 4.40068E 1D SUM S(J) FOR R = 1.87958188E-01 SUM S(J) FOR P = 2.50613302E-01 100

WILLOW RUN LABORATORIES STRENGTHS AND F FACTORS OF THE V = 0 TO V = 2 TRANSITIONS OF HF TEMPERATURE = 4500.0 DEG. K R BRANCH P BRANCH J S(J) F(J) S(J) F(J) 0 2.23703E-03 9.73018E-01 1 4.32140E-03 9.47044E-01 2.30356E-03 1.02e82E 00 2 6.17796E-03 9.22053E-01 4.58212E-03 1.r5709E 00 3 7.74719E-03 8.98017E-01 6.74504E-03 1.:8726E 00 4 8.98821E-03 8.74913E-01 8.70867E-03 1.11855E 00 5 9.88032E-03 8.52716E-01 1.04019E-02 1.15099E 00 h 1.04225E-02 8.31403E-01 1.17704E-02 1.18460E GO 7 1.06319E-02 8.10952E-01 1.27797E-02 1.21942E 00 8 1.05404E-02 7.91339E-01 1.34157E-02 1.25549E 00 9 1.01910E-02 7.72543E-01 1.36849E-02 1.29282E 00 1C 9.63365E-03 7.54543E-01 1.36111E-02 1.33146E 00 11 8.92110E-03 7.37319E-01 1.32332E-02 1.37144E 00 12 8.10510E-03 7.20851E-01 1.26003E-02 1.41279E 0C 13 7.23349E-03 7.05121E-U1 1.17677E-02 1.45554E 00 14 6.34801E-03 6.9011CE-01 1.07925E-02 1.49974E 0" 15 5.48292E-03 6.7580-E-01 9.73005E-03 1.54541E 00 16 4.66458E-03 6.62174E-01 8.63066E-03 1.59268E 00 17 3.91150E-03 6.49216E-C1 7.53768E-03 1.64134E:C 18 3.23506E-03 6.3691-E-01 6.48621E-03 1.69167E 7 19 2.64050E-03 6.25240E-01 5.50261E-03 1.74362E r0 2, 2.12812E-03 6.14193E-01 4.60489E-03 1.79724E 00 21 1.69450E-03 6.03755E-01 3.80339E-03 1.95257E C0 22 1.33366E-03 5.93912E- 1 3.10201E-03 1.9G964E 0 23 1.03803E-03 5.84652E-01 2.49945E-03 1.9685CE 00 24 7.99382E-04 5.75963E-01 1.99056E-03 2.02918E 00 25 6.09356E-04 5.67834E-01 1.56758E-03 2.C9174E 00 26 4.60004E-04 5.60254E-01 1.22124E-03 2.15622E u0 27 3.44049E-04 5.53214E-01 9.41615E-04 2.22264E 00 28 2.55058E-04 5.467C3E-01 7.18842E-04 2.29108E 00 29 1.87503E-04 5.40713E-01 5.43577E-04 2.36155E 00 30 1.36746E-n4 5.35237E-01 4.07322E-04 2.4-3412E 00 31 9.89813E-05 5.3u267E-01 3.02582E-04 2.5C883E 00 32 7.11386E-05 5.25796E-01 2.22924E-04 2.58573E 00 33 5.07877E-05 5.21818E-01 1.62950E-04 2.66485E 00 34 3.60329E-05 5.18328E-01 1.18227E-04 2.74626E 00 35 2.54164E-05 5.15321E-01 8.51762E-05 2.82999E 00 36 1.78314E-05 5.12793E-C1 6.09597E-05 2.91611E 00 37 1.244P1E-05 5.10740E-01 4.33579E-05 3.00465E OC 38 8.65069E-06 5.09160E-01 3.06601F-05 3.09567E 00 39 5.98708E-06 5.08050E-01 2.15648E-05 3.18923E 00 40 4.12841E-06 5.074C9E-01 1.50925E-05 3.28536E 00 41 2.83754E-06 5.07236E-01 1.05151E-05 3.38414E 00 42 1.94482E-06 5.C7531E-01 7.29608F-06 3.48560E 00 43 1.32981E-06 5.08294E-01 5.04405E-06 3.58980E 00 44 9.07526E-07 5.09526E-01 3.47603E-06 3.69680E 00 45 6.18420E-07 5.11229E-01 2.38886E-05 3.80665E C' 46 4.20975E-07 5.134C5E-01 1.63801E-06 3.91941E 00 47 2.86401E-07 5.16057E-01 1.12115E-06 4.03514E 00 48 1.94822E-07 5.19190E-01 7.66400E-07 4.15389E 00 49 1.32569E-07 5.22806E-01 5.23491E-07 4.27572E OC 50 9.02805E-08 5.26912E-01 3.57483F-07 4.40068E 00 SUM S(J) FOR R = 1.50643316E-Cl SUM S(J) FOR P = 2.06781045E-01 101

WILLOW RUN LABORATOARIES STRENGTHS AND F FACTORS OF THE V = 0 TO V = 2 TRANSITIONS OF HF TEMPERATURE = 5300.0 DEG. K R BRANCH P BRANCH J S(J) F(J) S(J) F(J) C 1.65479E-03 9.73018E-C1 1 3.20144E-03 9.47044E-01 1.70551E-03 1.02802E 3g 2 4.58966E-03 9.22053E-01 3.40062E-03 1.05709E 00 3 5.77902E-03 8.98017E-01 5.02429F-03 1.08726E 00 4 6.74090E-03 8.74913E-C1 6.51926E-03 1.11855E 00 5 7.45944E-03 8.52716E-01 7.83558E-03 1.15099E 00 6 7.93142E-03 8.31403E-01 8.93337F-03 1.18460E 00 7 8.16546E-03 8.10952E-01 9.78490E-03 1.21942E 00 8 8.18614E-03 7.91339E-G1 1.33755E-02 1.25549E 00 9 8.00191E-03 7.72543E-31 1.07335E-02 1.29282E 30 10 7.66258E-03 7.54543E-01 1.07797F-02 1.33146E 00 11 7.19670E-03 7.37319E-01 1.06249E-02 1.37144E 00 12 6.63929E-03 7.2C851E-01 1.02685E-02 1.41279E 00 13 6.02378E-03 7.05121E-01 9.74529E-03 1.45554E 3O 14 5.38044E-03 6.9U110E-01 9.09290E-03 1.49974E 00 15 4.73525E-03 6.75800E-01 8.34951E-03 1.54541E 00 16 4.10938E-03 6.62174E-01 7.55159E-03 1.59260E U0 17 3.51?94E-03 6.49216E-01 6.73211E-03 1.64134E 00 18 2.97520E-03 6.36910E-31 5.91948E-03 1.69167[ 00 19 2.48504E-03 6.25240E-01 5.13676F-03 1.74362E 00 20 2.05161E-03 6.14193E-01 4.40154E-03 1.79724E 00 21 1.67501[-03 6.03755E-01 3.72602F-03 1.85257E 00 22 1.35304E-03 5.93912E-01 3.11759F-03 1.9C964E 00 23 1.08185E-03 5.84652E-01 2.57943E-03 1.9685CE 00 24 8.56609E-04 5.75963E-01 2.11123E-03 2.02918E 00 25 6.71963E-04 5.67834E-01 1.71020F-03 2.09174E 00 26 5.22443E-04 5.60254E-01 1.37161E-03 2.15622E 00 27 4.02756E-04 5.53214E-01 1.08958E-03 2.22264E 00 28 3.07987E-04 5.46703E-31 8.57634E-04 2.291J8E 00 29 2.33714E-04 5.40713E-01 6.69153E-04 2.36155E 00 30 1.76065E-04 5.35237E-01 5.17718E-04 2.43412E 00 31 1.31725E-04 5.30267E-01 3.97348F-04 2.50883E 00 32 9.79136E-05 5.25796E-01 3.02636E-04 2.58573E 00 33 7.23377E-05 5.21818E-01 2.28824[-04 2.66435E 00 34 5.31377E-05 5.18328E-01 1.71822E-04 2.74626E 00 35 3.88262E-05 5.15321E-01 1.28177F-04 2.82999E 00 36 2.82292E-05 5.12793E-01 9.5C291E-05 2.91611E n0 37 2.04311E-05 5.10740E-01 7.00463E-05 3.00465E 00 38 1.47256E-05 5.09160E-01 5.13510E-05 3.09567E 00 39 1.05731E-05 5.08050E-01 3.74559E-05 3.18923E 00 40 7.56583E-06 5.07409E-01 2.71932E-05 3.28536E 00 41 5.39756E-06 5.n7236E-01 1.96579F-05 3.38414E 00 42 3.84055E-06 5.07531E-01 1.41552E-05 3.48560E 00 43 2.72654E-06 5.08294E-01 1.01571E-05 3.58980E 00 44 1.93207E-06 5.09526E-01 7.26566E-05 3.69680E 00 45 1.36709E-06 5.11229E-01 5.18330E-06 3.80665E 00 46 9.66278E-07 5.13405E-01 3.68930E-06 3.91941E 00 47 6.82515E-07 5.16057E-01 2.62106E-05 4.03514E 00 48 4.81945E-07 5.19190E-01 1.85949E-05 4.15389E 00 49 3.40354E-07 5.22806E-01 1.31793E-06 4.27572E 00 50 2.40484E-07 5.26912E-01 9.33630E-07 4.40068E 00 SUM S(J) FOR R = 1.22257257E-01 SUM S(J) FOR P = 1.72211607E-01 102

WILLOW RUN LABORATORIES STRENGTHS AND F FACTORS OF THE V =' TO V = 3 TRANSITIONS OF HF TEMPERATURE = 273.3 DEG. K R BRANCH P BRANCH J S(J) F(J) S(J) F(J) 0 4.17074E-02 9.86606E-01 I -6.65281E-C2 9.742~5E-C1 3.43' 44E-02 1.C1449E Or 2 6.41510E-02 9.63017E-01 4.5G 169E-02 1.r3008E 00 3 4.43441E-02 9.52785E-01 3.57280E-02 1.(4682E 00 4 2.31942E-02 9.43574E-C1 2.03411E-02 1.06472E O00 5 9.41029E-03 9.35369E-01 8.77095E-03 1.C8380E 0. 6 3.03319E-03 9.28158E-01 2.93693E-03 1.1041rE 01 7 7.60842E-04 9.21931E-01 7.74620E-04 1.12564E JC 8 1.54047E-04 9.16676E-1 1.62443E-04 1.14b46[ 0 9 2.50621E-05 9.12386E-01 2.72736E-05 1.17258E 00 i1 3.29184E-06 9.09055E-01 3.68691E-G6 1.1984E 0: 11 3.50586E-07 9.06676E-01 4.03274F-07 1.22487E 00 12 3.04011E-08 9.C5247E-01 3.58534E-08 1.25312E 02 13 2.15524E-09 9.04765E-21 2.60219F-09 1.28281E 0' 14 1.25426E-10 9.05229E-01 1.54841F-10 1.31399E 0' 15 6.01680E-12 9.06640E-01 7.56625E-12 1.34670E 0O16 2.38928E-13 9.C9001E-01 3.07358E-13 1.3a098L S 17 7.88016E-15 9.12315E-C1 1.03432E-14 1.41688[ 0" 18 2.17486E-16 9.16586E-01 2.90412E-16 1.454440E O' 19 5.03063E-18 9.21823E-01 6.83500E-18 1.49370E 00 20 9.80853E-20 9.28332E-01 1.35485F-19 1.53471 00' 21 1.61989E-21 9.35225E-01 2.27296E-21 1.577545 - 22 2.27733E-23 9.43410E-C 1 3.24351E-23 1.62222E 23 2.73942E-25 9.526C3E-r1 3.95724E-25 1.66880e O 24 2.83439E-27 9.62815E- 1 4.14965E-27 1.71735E0 0 25 2.53611E-29 9.74C64E-01 3.76023E-29 1.76792E On 26 1.97320E-31 9.86365E- 1 2.960C69E-31 1. 20560E 00 27 1.34249E-33 9.99738E-01 2.03703E-33 1.87534E 01. 28 H.03309E-36 1.01420E 0C 1.23175E-35 1.93231E O0 29.OOOCOE 00 1.02978[..02OOCE 00 1.991540E 00 30.OOOOE 00 1.04650E 03.00000E 00 2.05309E Or 31.00010E 00 1.06437E 00.0000GE 00 2.11702E 00 32.00000E 00 1.08343E 0:.OrOOE0 00 2.18341E 01 33.00000E O0 1.10371E 00.00OOE 00 2.25230E 00 34.00OOOE0 C 1.12522E 01.00000E 00 2.32379E O0, 35 0.GOOOE 00 1.14802E0 Cj. 00000 00 2.39793E 00 36.00000G 00 1.17211E 00.COO(OE 03 2.4748CE 0O 37.000OE 00 1.19755E 0).0GOOOE 00 2.55448RE 038.00000E 00 1.22436E 00.00000E 00 2.63703E 00 3'.00000OO E 00 1.25257E 00.00003E 00 2.72253E OC 40.0O00E 00 1.282240 00.C300E 00 2.81107E 00 41.0,"0OOE 00 1.31339E O0.0OOfOrE 03 2.92272E 0' 42.00000E 00 1.346C7E 00.03000E OD 2.99756E 01: 43.00000E 00 1.368033 0(9.0000F 03 3.09567E OC 44.OOOOOE 00 1.41619E 00..003F00 00 3.19715E O0 45.03000E 00 1.453710E 0.OOOOO[ 00 3.302'26E 03 46 OOOOOE 00 1.49294E 00.00000 00 3.41051E 0? 47.00OOOE 00 1.53393E 03.00000E 00 3.522580E 0 48.00000E 00 1.57672E 0.00009E 003 3.63835E 01 49.0000E 00 1.62136E 3.00000E 003 3.75793E 00 50.00000E 00 1.667910E C.OCOOOF 03 3.R8140E 0O SUM S(J) FOR R = 2.53281850E-01 SUM S(J) FOR P = 1.48066749E-01 103

WILLOW RUN LABORATORIES STRENGTHS AND F FACTORS OF THE V = C TO V = 3 TRANSITIONS OF HF TEMPERATURE = 373.3 DEG. K R BRANCH P BRANCH J S(J) F(J) S(J) F(J) 0 2.2557E-02 9.86606E-01 1 3.81392E-02 9.74285E-01 1.96613E-02 1.n1449E 00 2 4.12854E-02 9.63017E-01 2.89714E-02 1.03008E OC 3 3.39504E-02 9.52785E-01 2.73539E-02 1.04682E 00 4 2.23768E-02 9.43574E-01 1.96242E-02 1.06472E 00 5 1.21144E-02 9.35369E-01 1.12913E-02 1.08380E 00 6 5.46106E-03 9.28158E-01 5.34057E-03 1.10410E 30 7 2.06782E-03 9.21931E-01 2.10527E-03 1.12564E 00 8 6.61781E-04 9.16676E-01 6.97849E-04 1.14846E 00 9 1.79885E-04 9.12386E-01 1.95757E-04 1.17258E 00 10 4.16994E-05 9.09055E-01 4.67039E-05 1.19804E 00 11 8.27374E-06 9.C6676E-01 9.51717E-06 1.22487E 00 12 1.40989E-06 9.05247E-01 1.66275E-05 1.25312E 00 13 2.07014E-07 9.04765E-01 2.49945F-07 1.28281E 00 14 2.62747E-08 9.05229E-01 3.24367E-08 1.313;9E 00 15 2.89198E-09 9.06640E-01 3.64633E-09 1.34670E 00 16 2.76935E-10 9.09001E-01 3.56250[-13 1.38G98E 01 17 2.31482E-11 9.12315E-01 3.03525F-11 1.41688E 00 18 1.69463E-12 9.16586E-21 2.26287E-12 1.45444E 00 19 1.09030E-13 9.21823E-01 1.48137E-13 1.49370E 00 20 6.18673E-15 9.28032E-01 8.54572E-15 1.53471E 06 21 3.10735E-16 9.35225E-01 4.36012E-16 1.51754E 00 22 1.38656E-17 9.43410E-01 1.97482E-17 1.62222E 00 23 5.51769E-19 9.52603E-01 7.97061E-19 1.66880E 00 24 1.96575E-20 9.62815E-C1 2.87793E-20 1.71735E 00 25 6.29474E-22 9.74064E-Al 9.333C6E-22 1.76792r 00 26 1.81914E-23 9.86365E-1l 2.72953E-23 1.82056E 00 27 4.76417E-25 9.99738E-01 7.22892E-25 1.87534E 00 28 1.13548E-26 1.01420E 0 1.74108E-26 1.93231E 00 29 2.47349E-28 1.02978E O0 3.83002E-28 1.99154E 0O 30 4.94636E-30 1.04650E 03 7.72906E-30 2.05309E 00 31 9.12102E-32 1.06437E 00 1.43728E-31 2.11702E 00 32 1.55798E-33 1.08343E 00 2.47416E-33 2.18341[ 0C 33 2.47658E-35 1.10371E 00 3.96097E-35 2.25230E 00 34.00000E 00 1.12522E 00 5.925380-37 2.32379E 00 35.000E 00 1.14802E 00.0C0000E C 2.39793E 03 36.0C03CE 00 1.17211E 00.00000E 00 2.47480E 00i 37.00000E 00 1.19755E 00.C;00C E 00 2.55448E 00 38.0000E 00 1.22436E 00.000OOE 00 2.63703E 00 39 O0000OE 00 1.25257E 00.00000E 00 2.72253E 00 40.00000E O0 1.28224E 00.000000E 0 2.81107E 00 41.0000E 00 1.31339E 00.0000E 00 2.90272E 00 42 OOOOOE 00 1.34607E 00.00000E 00 2.99756E 00 43.00000E 00 1.38033E 00.03000E 03 3.09567E 00 44.0O000E 00 1.41619E 03.00300E 00 3.19715E 00 45.00000E 00 1.45371E 00.OOOOOE 00 3.30206E 00 46.00000E 00 1.49294E 00.000000 00 3.41051E 00 47 0000E 00 1.53393E 00.OJOO0E 00 3.52258E 00 48.OOOOOE 00 1.57672E 00.00000F 03 3.63835E 00 49 00000E 00 1.62136E 00.00000E 00 3.75793E 00 50.00000E 00 1.66791E 00.00000E 00 3.88140E 00 SUM S(J) FOR R = 1.78837167E-01 SUM S(J) FOR P = 1.15299766E-01 104

WILLOW RUN LABORATORIES STRENGTHS AND F FACTORS OF THE V = 0 TO V = 3 TRANSITIONS OF HF TEMPERATURE = 5300. OFG. K R BRANCH P BRANCH J S(J) F(J) S(J) F(J) 0 1.26474E-02 9.866D6E-.1 1 2.22542E-02 9.74285E- 1 1.14751E-02 1.01449C 30 2 2.61093E-02 9.63317E-01 1.832185-02 1.03008E 03 3 2.42143E-02 9.52785E-i1 1.95395E-02 1.04682E 00 4 1.87311E-02 9.43574E-31 1.64273E-02 1.n6472E C? 5 1.23831E-02 9.35369E-01 1.15418F-02 1.08380E 00 6 7.09058E-03 9.28158E-01 6.93413E-03 1.10410E 00 7 3.54637E- 3 9.21931E-01 3.613630E-03 1.12564E'0 _ 1.55845E-^3 9.16676E-C1 1.64338E-03 1.14846C 00'9 6.04435E-04 9.12386 -01 6.57768E-04 1.17258 E lj 2.07656E-04 9.09055E-01 2.32578E-04 1.19824E 00 11 6.33948E-C5 9.06676E-C1 7.29222F-C5 1.22487E 00 12 1.72474E-05 9.05247E-1 2.034066E-C5 1.25312E ci 13 4.19300E-06 9.0 4765E-01 5.05253E-06 1.2828 1E CD 14 9.13248E-07 9.05229E-01 1.12742E-06 1.31399E 00 15 1.78661E-07 9.C654 E-0 1 2.25264E-07 1.3467C E 02 16 3.14746E-08 9.C99 C1E- 1 4.34893E-08 1 * 38r98E 00 17 5. CC602E-09 9.12315E- 1 6.56402E-09 1.416880E 3 18 7.20710E-10 9.16586E- 1 9.62376E-10 1.45444E 00 19 9.41699E-11 9.21823E-. 1.27945E-1 1.49370E 00 2: 1.11975E-11 9.28032E-?F 1.54671E-11 1.53471E 3 21 1.21501E-12 9.35225E-1 1.70L486E-12 1.57754E 00 22 1.20646E-13 9.43410E-01 1.71832E-13 1.62222E 00 23 1.09943E-14 9.52603E-C1 1.58819E-14 1.66880E 00 24 9.22175E-16 9.62815E-l1 1.35310F-15 1.71735E 00 25 7.14n8PE-17 9.74064E-l1 1. 5876E-15 1.76792E 00 26 5.12045E-18 9.b6365E-01 7.68299E-18 1.82056E 00 27 3.41C61E-19 9.9973E-:i1 5.17509[-19 1.P7534E C0 28 2.11691E-20 1.0142'E J' 3.24595F-20 1.93231E 00 29 1.22834E-21 1.02978E JO ].90200E-21 1.99154E 00 30 6.68515E-23 1.04650,E 0 1.04461E-22 2.C53G9E 00 31 3.42397E-24 1.06437E 0 5.39546E-24 2.117:.2 00 32 1.6559RE-25 1.03343E 4: 2.62979E-25 2.18341E 03 33 7.58911E-27 1.10371E 01 1.21378E-26 2.2523CE 00 34 3.30725E-28 1.12522E C:- 5.32378E-28 2.323-79L 020 35 1.37545E-29 1.14802E 2; 2.22704E-29 2.39793E tC 36 5.47909E-31 1.17211E C: 8.91782E-31 2.4748C0E 0 37 2.09P36E-32 1.19755E 0' 3.43113E-32 2.55448E 00 36 7.75550E-34 1.22436E 01: 1.27328E-33 2.63703E 00 39 2.7770PE-35 1.25257E 02 4.57523E-35 2.72253E O0 4. 9.67254E-37 1.28224E 00 1.59824F-36 2.81107E tu 41.00OE 00 1.31339E 03.00DODE 00 2.90272E 00 42.03000E 00 1.34607E OC.O003E 03 2.99756L 0u 43.OOO0E 00 1.38033E 00G.OOOOOF 03 3.09567E 00 44.00nOOE 00 1.41619E 0O.00O03E 03 3.19715E 00 45.00000E 00 1.45371E 0.300003E 00 3.30206E G0 46.00COOE 00 1.49294E C0.nOuODE 03 3.41051E 0 47.COCOOE 00 1.53393E 0O.C00O03 OD 3.52258E 00 48.OO3COE O 1.57672E O0.00000E 00 3.63835E 0C 49.O3OGOE 00 1.62136E 00.00000E 03 3.75793E 00 50.OOOOOE 00 1.66791E 00.000NE 00 3.?8140E 00 SUM S(J) FOR R = 1.29432827E-01 SUM S(J) FOR P = 9.04533017E-02 105

WILLOW RUN LABORATORIES STRENGTHS AND F FACTORS OF THE V = 0 TO V = 3 TRANSITIONS OF HF TEMPERATURE = 10C,. DEG. K R BRANCH P BRANCH J S(J) F(J) S(J) F(J) 0 3.17095E-03 9.86606E-31 1 5.91957E-03 9.74285E-01 3.05235E-03 1.01449E 00 2 7.8166E-03 9.63017E-01 5.46521E-03 1.03008E 00 3 8.65446E-03 9.52785E-01 6.97291E-03 1.04682E 00 4 8.47565E-03 9.43574E-01 7.43306E-03 1.06472E 00 5 7.52059E-03 9.35369E-01 7.00963E-03 1.08380E 00 6 6.12539E-03 9.28158E-01 5.99024E-03 1.1041CE 00 7 4.61628E-03 9.21931E-01 4.69988E-03 1.12564E 00 8 3.23641E-03 9.16676E-1 3.41280E-03 1.14846E 00 9 2.11907E-03 9.12386E-01 2.30605E-03 1.172580 00 1C 1.29971E-03 9.09055E-01 1.45570E-03 1.19804E 00 11 7.48581E-04 9.C6676E-U1 8.61083E-04 1.22487E 00 12 4.05725E-04 9.05247E-01 4.78489E-04 1.25312E 00 13 2.07318E-04 9.04765E-01 2.5C312E-C4 1.28281E 00 14 1.00046E-04 9.05229E-vl 1.23508E-04 1.31399E 00 15 4.56684E-05 9.06640E-01 5.75807E-05 1.34670E 00 16 1.97497E-05 9.09001E-01 2.54060E-05 1.38098E 00 17 8.10371E-06 9.12315E-01 1.06258E-05 1.41688E 00 18 3.15962E-06 9.16586E-01 4.21909E-06 1.45444E 00 19 1.17234E-06 9.21823E-01 1.59282E-06 1.4937r0 O0 20 4.14552E-07 9.28032E-01 5.72620E-07 1.53471E 00 21 1.39914E-07 9.35225E-01 1.96322E-07 1.57754E 00 22 4.51385E-08 9.43410E-C1 6.42888E-08 1.62222E 00 23 1.39411E-08 9.526r3E-01 2.31386[-08 1.66880E 00 24 4.12833E-09 9.62815E-01 6. 04401E-09 1.71735E 00 25 1.17397E-09 9.74064E-01 1.74361E-09 1.76792E 00 26 3.21088E-10 9.86365E-01 4.81776E-13 1.82056E 00 27 8.46003E-11 9.99738E-01 1.28368F-13 1.87534E 00 28 2.15082E-11 1.01420E 00 3.29794E-11 1.93231E 00 29 5.28485E-12 1.02978E 00 8.18318E-12 1.99154E 00 30 1.25714E-12 1.04650E 00 1.96437E-12 2.C5309E O0 31 2.89993E-13 1.06437E 00 4.56965E-13 2.11702E 00 32 6.49819E-14 1.08343E 00 1.03194E-13 2.18341E 00 33 1.41695E-14 1.10371E 00 2.26621E-14 2.25230E 00 34 3.01192E-15 1.12522E 00 4.84832E-15 2.32379E Oi 35 6.25228E-16 1.14802E OC 1.01232E-15 2.39793E 00 36 1.26980E-16 1.17211E 00 2.06670E-16 2.47480E 00 37 2.52778E-17 1.19755E 00 4.13321E-17 2.55448E OC 38 4.94169E-18 1.22436E 0 0 8.11293E-18 2.63703E 00 39 9.50573E-19 1.25257E 00 1.56602E-18 2.72253E 00 40 1.80271E-19 1.28224E 00 2.97858E-19 2.81107E 00 41 3.37735E-20 1.31339E 00 5.59375E-20 2.90272E 00 42 6.26374E-21 1.34607E 00 1.03941E-20 2.99756E 00 43 1.15246E-21 1.38033E 00 1.91514E-21 3.09567E 00 44 2.10815E-22 1.41619E 00 3.5G670E-22 3.19715E 00 45 3.84277E-23 1.45371E 00 6.39555E-23 3.30206E 00 46 6.99626E-24 1.49294E 00 1.16457E-23 3.41051E 00 47 1.27531E-24 1.53393E 00 2.12240E-24 3.52258E 00 48 2.33340E-25 1.57672E 00 3.88120E-25 3.63835E 00 49 4.29650E-26 1.62136E 00 7.14066E-26 3.75793E 00 50 7.98330E-27 1.66791E 00 1.32543E-26 3.88140E 00 SUM S(J) FOR R = 6.04948992E-02 SUM S(J) FOR P = 4.96315145E-02 106

WILLOW RUN LABORATORIES STRENGTHS AND F FACTORS OF THE V = C TO V = 3 TRANSITIONS OF HF TEMPERATURE = 1500.3 DEG. K R BRANCH P BRANCH J S(J) F(J) S(J) F(J) 0 1.38079E-03 9.86606E-01 1 2.62900E-03 9.74285E-01 1.35561E-03 1.C1449E 02 2 3.61109E-03 9.63017E-01 2.53402E-03 1.03008E 09 3 4.24136E-03 9.52785E-01 3.41725E-03 1.C4682E 00 4 4.49350E-03 9.43574E-01 3.94373E-03 1.06472E 00 5 4.39814E-03 9.35369E-01 4.09929E-03 1. 038-E 00 6 4.02866E-03 9.28158E-01 3.93973E-03 1.10C41CE 00 7 3.48073E-03 9.21931E-C1 3.54373E-03 1.12564E 00 8 2.85144E-03 9.16576E-01 3.00680E-03 1.14846E J30 9 2.22307E-03 9.12386E-C 1 2.41919[-03 1.17258E 0O 1 1.65408E-03 9.09055E-01 1.85257F-03 1.19804E 0O 11 1.17718E-03 9.06676E-01 1.35407E-03 1.22487E 00 12 8.02805E-04 9.05247E-,1 9.46763E-04 1.25312E 00 13 5.25473E-04 9.04765E-01 6.34429E-04 1.28281E 00 14 3.30580E-04 9.05229E-01 4.08096E-O4 1.31399E 00 15 2.00148E-04 9.06640E-01 2.52348E-04 1.34670E 00 16 1.16762E-04 9.09001E-01 1.50197E-04 1.38098E 00 17 6.57085E-05 9.12315E-01 8.61551E-05 1.41688E O0 18 3.57108E-05 9.16586E-A1 4.76830E-05 1.45444E 90 19 1.87631E-05 9.21823E-01 2.54916E-05 1.49370C 00 20 9.54123E-06 9.28032E-01 1.31785E-05 1.53471E 00 21 4.70066E-06 9.35225E-01 6.59534E-06 1.57754E 00 22 2.24610E-06 9.4341CE-l1 3.19877E-06 1.62222E () 23 1.04202E-C6 9.52603E-'1 1.50512E-06 1.66880E 00 24 4.69855E-07 9.62815E-C1 6.87813E-07 1.71735E 00 25 2.06138E-07 9.74064E-.1 3.05600F-07 1.76792E 00 26 8.80907E-08 9.86365E-01 1.32158E-07 1.82056E 00 27 3.67072E-08 9.99738E-01 5.56890O-08 1.87534E 00 28 1.49315E-08 1.C1420E CJ 2.28910E-08 1.93231E 00 29 5.93563E-09 1.0297PE 02 9.18898E-09 1.99154E 00 30 2.30852E-09 1.04650E 5 3.60638E-09 2.053C9E 00 31 8.79422E-10 1.C6437E 00 1.38540E-09 2.11702E 00 32 3.28519E-10 1.08343E 03 5.21539E-10 2.18341E 00 33 1.20484E-10 1.10371E 0O 1.92627E-13 2.25230E 00 34 4.34328E-11 1.12522F 20 G.98851E-11 2.32379E 0O 35 1.54080E-11 1.14802E 03 2.49354E-11 2.39793E 00 36 5.38579E-12 1.17211F 03 8.76092E-12 2.47480E 00 37 1.85720E-12 1.19755F 02 3.03477E-12 2.55448E 00 38 6.32593E-13 1.22436E 0) 1.93777E-12 2.63703E 00 39 2.13110E-13 1.25257E 00 3.50780E-13 2.72253E 0O 4: 7.10991E-14 1.28224E CO 1.17356E-13 2.81107E 00 41 2.35227E-14 1.31339E i0 3.89135E-14 2.90272E 00 42 7.72798E-15 1.34607E') 1.28063F-14 2.99756E 00 43 2.52472E-15 1.38033E G0 4.18882E-15 3.09567E 00 44 8.21392E-16 1.41619E 0O 1.36376E-15 3.19715E 00 45 2.66518E-16 1.45371E 0) 4.42606E-16 3.30206E 00 46 8.63781E-17 1.49294E 0 1.43419E-16 3.41051E 00 47 2.80073E-17 1.53393E 00 4.64730E-17 3.52258E 00 48 9.10004E-18 1.57672E OJ 1.50844E-17 3.63835E 00 49 2.96796E-18 1.62136E 00 4.91293E-18 3.75793E 00 50 9.73391E-19 1.66791E i3 1.60851E-18 3.88140E 00 SUM S(J) FOR R = 3.82833424E-02 SUM S(J) FOR P = 3.40398502E-02 107

WILLOW RUN LABORATORIES STRENGTHS AND F FACTORS OF THE V = 0 TO V = 3 TRANSITIONS OF HF TEMPERATURE = 2C000. DEC. K R BRANCH P tRANCH J S(J) F(J) S(J) F(J) 0 7.45365E-04 9.86606E-01 1 1.43323E-03 9.74285E-01 7.39012E-04 1.01449E n0 2 2.00781E-03 9.63017E-01 1.40890E-03 1. C3r0J8E 00 3 2.42893E-03 9.527b5E-01 1.95689E-03 1.04682E 00 4 2.67652E-03 9.43574E-01 2.34712F-03 1.06472E 00 5 2.75142E-03 9.35369E-01 2.56427F-03 1.C8380E 00 6 2.67273E-n3 9.28158E-01 2.61349E-03 1.104106 00 7 2.47253E-03 9.21931E-01 2.51701E-03 1.12564E 00 8 2.18950E-03 9.16676E-01 2.30851E-03 1.14846E 00 1.86268E-03 9.12386E-01 2.02672F-03 1.17258E 00 1l 1.52649E-03 9. 9055E-01 1.70938E-03 1.19804E 30 11 1.20760E-03 9.06576E-01 1.38880E-03 1.22487E 00 12 9.23797E-04 9.05247E-01 1.08922E-03 1.25312E 00 13 6.P4357E-04 9.04765E-01 8.26365E-04 1.28281E 00 14 4.91575E-04 9.05229E-01 6.06683E-04 1.31399E 00 15 3.42761E-04 9.0664CE-01 4.32n29E-04 1.34670E 00 16 2.32241E-04 9.59001E-01 2.98648F-04 1.38098E 00 17 1.53058E-04 9.12315E-01 2.00613E-04 1.41688E O0 18 9.82071E-05 9.16586E-01 1.31079E-04 1.45444E 90 19 6.14028E-05 9.21823E-01 8.33851F-05 1.49370E i, 20 3.74428E-05 9.26332E-01 5.16911E-05 1.53471E 0 21 2.22e71E-05 9.35225E-01 3.125320-05 1.57754E D3 22 1.296C1E-05 9.4341-E-01l 1.84460E-05 1.62222E 00 23 7.36883E-06 9.52603E-1 1.06366E-05 1.668b0E 00 24 4.09999E-C6 9.62815E-01 5.99746E-05 1.71735E 00 25 2.23422E-06 9.74064E-01 3.3r950E-D6 1.76792~ 00 26 1.19341E-06 9.86365E-,31 1.78877E-06 1.82056E,0 27 6.25367E-07 9.99738E-01 9.47791 —07 1.87534E 00 28 3.21761E-07 1.C142CE 3D 4.92727E-77 1.93231E 00 2'- 1.62687E-07 1.C2978E 0 2.51541E-C7 1.99154E 00 3 8.C0925E-r8 1.04650E 03 1.26211F-07 2.053Q9E 00 31 3.96039E-08 1.06437E 03 6.22941E-08 2.1172EO 00 32 1.91012E-08 1.08343E 00 3.02720E-C0 2.1P341E 00 33 9.08468E-09 1.10371E 0C 1.44967E-08 2.25230E 00 34 4.26456E-09 1.12522E 00 6.84732E-C9 2.32379E 00 35 1.97763E-09 1.14802E 00 3.19293E-09 2.39793E OC 36 9.06812E-10 1.17211E 00 1.47123E-09 2.47480E D0 37 4.11524E-10 1.19755E 00 6.70495E-13 2.55448E 00 38 1.85006E-10 1.22436E 00 3.02518E-13 2.63703E 00 39 8.24717E-11 1.25257E 00 1.35259E-10 2.72253E 00 40 3.64901E-11 1.28224E 0' 5.99889E-11 2.S1107E 00 41 1.60409E-11 1.31339E 03 2.64180E-11 2.90272E 00 42 7.01299E-12 1.34607E 0or 1.15638E-11 2.99756E 00 43 3.05248E-12 1.38333E 0D 5.036480-12 3.09567E 00 44 1.32415E-12 1.41619E 0O 2.18500E-12 3.19715E 00 45 5.73104E-13 1.45371E 00 9.45263E-13 3.3C206E 00 46 2.47759E-13 1.49294E 03 4.08253E-13 3.41051E 00 47 1.07110E-13 1.53393E CO 1.76235E-13 3.52258E 00 48 4.63611E-14 1.57672E 00 7.61331E-14 3.63835E 00 49 2.01161E-14 1.62136E 00 3.29551E-14 3.75793E 00 50 8.76114E-15 1.66791E 00 1.43123E-14 3.88140E 00 SUM S J) FOR R = 2.70510542E-02 SUM S(J) FOR P = 2.53728893BE-92 108

WILLOW RUN LABORATORIES STRENGTHS AND F FACTORS OF rHE V = 3 TO V = 3 TRANSITIONS OF HF TEMPERATURE = 2530.D DEG. K R BRANCH P BRANCH J S(J) F(J) S(J) F(J) C 4.51402E-04 9.866J6E-01 1 8.73150E-04 9.74285E-1l 4.53189E-04 1.01449E 0 2 1.23777E-03 9.63017E-0 1 8.68450E-04 1.30308E 03 3 1.52416E-03 9.52785E-01 1.22775E-03 1.04682E 00 4 1.71962E-03 9.43574C-01 1.53768E-33 1.06472E O 5 1.82056E-03 9.35369 —-01 1.69629E-03 1.?,833GE 02 6 1.83192E-03 9.28150E-1 1.79377E-03 1.10410E 03 7 1.76564E-03 9.21931E-C1 1.79675E-03 1.12564E 00 8 1.63829E-03 9.1l67>:-C 1 1.72662F-03 1.14846E 09 9 1.46867E-03 9.12386E-01 1.59725F-03 1.17258E'C 10 1.27540E-03 9.09055E-01 1.42745E-33 1.19804E 0C 11 1.07508E-03 9.06676E-01 1.23566E-03 1.22487E 0r 12 e.81096E-04 9.05247E-01 1.33818E-03 1.P5312E 00 13 7.03045E-04 9. 4765E-l1 8.47996E-04 1.28281c 00o 14 5.46804E-04 9.05229E-01 6.74295E-04 1.31399E 00 15 4.14975E-04 9.3664E-0-1 5.2258DE-04 1.34670E 03 16 3.07582E-04 9.09001E-01 3.95141E-04 1.3P098E 0n 17 2.22856E-04 9.12315E-G1 2.9178PE-04 1.41688E 0:' 18 1.57967E-04 9.16586E-1 2.10591E-04 1.45444E 00 19 1.09628E-04 9.21823E-01 1.48682E-04 1.49370E 00 22 7.45446E-05 9.28332E-1 1.02766E-04 1.53471E 21 4.97C09E-05 9.35225E-71 6.95882E-05 1.57754E OC 22 3.25142E-05 9.4341 E-: 1 4.61992E-05 1.62222E 00 23 2.08856E-05 9.52603E-01 3.03923E-05 1.66880E 00 24 1.31822E-05 9.62815E- 1 1.92445E-05 1.71735E;: 25 8.18081E-06 9.74064E-' 1 1.23918E-05 1.76792E O,0 26 4.99538E-06 9.863651-01 7.46978E-06 1.82056E 30 27 3.0 3332E-06 9.99738E-01 4.54 -07E-06 1.87534E 00 28 1.77909E-06 1.314208E C 2.71679E-05 1.93231E 03 29 1.03909E-06 1.02978 03 C 1.63174E-06 1.99154E 00 3C 5.93785E-07 1.04650E 00 9.31346E-07 2.05309E 00 31 3.40685E-07 1.06437E 00 5.33953E-07 2.117J2E 00 32 1.91516E-07 1.08343E 03 3.02339E-07 2.18341E C? 33 1.06447E-07 1.1i371E 0 1.69143E-07 2.25230E 00 34 5.85396E-08 1.12522E 03 9.35619E-08 2.32379E 800 35 3.18760E-08 1.148':2E 03 5.12085E-08 2.39793E C0i 36 1.71987E-08 1.172118E 3 2.77526E-08 2.47480E 00 37 9.23157E-09 1.19755E 1.49j42E-08 2.55448E 00 38 4.88527E-09 1.22436E 7.93752E-09 2.63703E 00 39 2.57576E-09 1.25257E: 4.19532E-09 2.72253E 0C' 40 1.34973E-09 1.28224E J, 2.20236E-09 2.8110 7E 0 41 7.03481E-10 1.31339E 00 1.14921E-09 2.93272E 00 42 3.64981E-10 1.34607E 00 5.96557E-10 2.99756E 0 43 1.88649E-10 1.38033E O' 3.08320E-10 3.09567E 00 44 9.72224E-11 1.41619E C3 1.58789E-10 3.19715E 00 45 5.00011E-11 1.45371E C0 8.15610E-11 3.30206E 00 46 2.56847E-11 1.49294E 00 4.18194E-11 3.41051E 00 47 1.31900E-11 1.53393E 0i 2.14243E-11 3.52258E 0048 6.77786E-12 1.57672E 03 1.09769E-11 3.63835E 00 49 3.48848E-12 1.62136E.?2 5.63029E-12 3.75793E 00 50 1.80014E-12 1.66791E 03 2.89398E-12 3.88140E 00 SUM S(J) FOR R = 2.02368084E-02 SUlM S(J) FOR P = 1.97525629E-02 109

WILLOW RUN LABORATO-RIES STRENGTHS AND F FACTORS OF THE V = 0 TO V = 3 TRANSITIONS OF HF TEMPERATURE = 3300. DEG. K R BRANCH P BRANCH J S(J) F(J) S(J) F(J) 0 2.94028E-04 9.86606E-01 1 5.71010E-04 9.74285E-01 2.94368E-04 1.01449E 00 2 8.15888E-04 9.63017E-01 5.72321E-04 1.0300 8E 00 3 1.01663E-03 9.527E5E-01.18667E-04 1. 4682E 00 4 1.16521E-03 9.43574E-01 1.02118E-03 1.06472E 00 5 1.25807E-03 9.35369E-01 1.17160E-03 1.08380E 00 6 1.29602E-03 9.28158E-01 1,26615E-03 1.10410E 0) 7 1.28375E-03 9.21931E-01 1.30545E-03 1.12564E 00 8 1.22883E-03 9.16676E-01 1.29405E-03 1.14846E 00 9 1.14074E-03 9.12386E-01 1.23948E-03 1.17258C 00 10 1.02964E-03 9.09055E-Cl 1.15121E-03 1.19804E 00 11 9.05418E-04 9.C6676E-01 1.33947E-03 1.22487E 00 12 7.76917E-04 9.05247E-01 9.14281E-04 1.25312E 00 13 6.51372E-04 9.04765E-01 7.84581E-04 1,28281E 00 14 5.34189E-04 9.05229E-01 6).57739E-04 1.313)9E 30 15 4.28942E-04 9.06640E-01 5.39274E-34 1.3467CE 0,) 16 3.37534E-04 9.09001E-01 4.32837[E-4 1.38098E 0) 17 2.60493E-04 9.12315E-01 3.40389F-04 1.41688E 00 18 1.97313E-04 9.16586E-01 2.62486E-04 1.45444E 00 19 1.46791E-04 9.21823E-01 1.98626E-04 1.49370E 00 22 1.07329E-04 9.28332E-01 1.47593E-04 1.53471E 00 21 7.71756E-05 9.35225E-01 1.07767E-04 1.57754E 00 22 5.46092E-05 9.43410E-01 7.73692E-05 1.62222E 00 23 3.80482E-05 9.52603E-01 5.46496E-05 1.6688CE 00 24 2.61185E-05 9.62815E-01 3.80021E-05 1.71735- 00 25 1.76752E-05 9.74064E-01 2.60310E-05 1.76792E 00 26 1.17988E-05 9.86365E-01 1.75749E-05 1.82C56E 00 27 7.77357E-06 9.99738E-G1 1.17024E-05 1.7534E 00 28 5.05789E-06 1.01420E 03 7.68935F-06 1.93231E 00 29 3.25189E-06 1.02978E 00 4.98880O-06 1.99154E 00 30 2.06716E-06 1.04650E 00 3.19777E-06 2.?5309E 00 31 1.29998E-06 1.06437E 00 2.02629E-05 2.11702E 0O 32 8.09251E-07 1.08343E 0 1.27004E-06 2.18341E 00 33 4.98960E-07 1.10371E 00 7.87871E-07 2.25230E 00 34 3.04891E-07 1.12522E 00 4.84331E-07 2.32379E 00 35 1.84748E-07 1.14802E 00 2.94671E-07 2.39793E 00 36 1.11080E-07 1.17211E 00 1.77873E-07 2.47480E 00 37 6.63090E-08 1.19755E 00 1.06527E-07 2.55448E 00 38 3.93244E-08 1.22436E 00 6.33378E-08 2.63703E 00 39 2.31833E-08 1.25257E 00 3.74101E-08 2.72253E 00 40 1.35952E-08 1.28224E 00 2.19644E-08 2.81107E 00 41 7.93553E-09 1.31339E 00 1.28273E-08 2.96272E 00 42 4.61346E-09 1.34607E 00 7.45640E-C9 2.99756E 00 43 2.67319E-09 1.3P033E 00 4.31711E-09 3.09567E 30 44 1.54482E-09 1.41619E 00 2.49131E-09 3.19715E 00 45 8.90999E-10 1.45371E 00 1.43398E-09 3.30206E 00 46 5.13255E-10 1.49294E 00 8.23859E-10 3.41651E 00 47 2.95504E-10 1.53393E 00 4.72807F-10 3.52258E 00 48 1.70174E-10 1.57672E 00 2.71250E-10 3.63835E 00 49 9.80968E-11 1.62136E 00 1.55690E-13 3.75793E 00 50 5.66492E-11 1.66791E CO 8.94762E-11 3.88140E 00 SUM S(J) FOR R = 1.56930538E-02 SUM S(J) FOR P = 1.58060165E-02 110

WILLOW RUN LABORATORIES STRENGTHS AND F FACTORS OF THE V = TO V = 3 TRANSITIONS OF HF TEMPERATURE = 3500.3 DEG. K R BRANCH P BRANCH J S(J) F(J) S(J) F(J) u 2.01495E-04 9.86606E-C1 1 3.92433E-04 9.74285E-01 2.02268E-04 1.01449E 00 2 5.63921E-04 9.63017E-01 3.95443E-04 1.03G00E O0 3 7.08651E-04 9.52785E-01 5.70395E-04 1.r4682E 0f 4 8.21422E-04 9.43574E-01 7.19454E-04 1.n6472E 00 5 8.99420E-04 9.35369E-01 8.36988E-04 1.08380E 00 6 9.42245E-04 9.28158E-01 9.19720E-04 1.1l410E 00 7 9.51726E-04 9.21931E-01 3.66832E-04 1.12564E 00 8 9.31504E-04 9.16676E-01 9.79796E-04 1.14846E OC 9 8.86549E-04 9.12386E-01 9.62022E-04 1.17258E 00 10 8.22582E-04 9.09055E-01 9.18354E-04 1.19S34E 00 11 7.45524E-04 9.06676E-01 8.54510E-04 1.22487E 00 12 6.61036E-04 9.05247E-01 7.76515E-04 1.25312E 00 13 5.74146E-04 9.04765E-01 6.90203E-04 1.28281E 00 14 4.89011E-04 9.05229E-01 b.00820E-04 1.31399E 00 15 4.08806E-04 9.0664C0E-1 5.12761E-04 1.34670E 00 16 3.35720E-04 9.09001E-01 4.29426E-04 1.38098E 00 17 2.71032E-04 9.12315E-01 3.53197E-04 1.41688E 00 18 2.15251E-04 9.16586E-1l 2.85510E-04 1.45444E 00 19 1.68279E-04 9.21823[-'1 2.26984E-04 1.49377E fi 20 1.29579E-04 9.28032E-01 1.77588E-04 1.53471E 0( 21 9.83362E-05 9.35225L-01 1.36817E-04 1.57754E 00 22 7.35883E-05 9.43410E-01 1.03855E-04 1.62222E C0 23 5.43321E-05 9.526r3E-01 7.77156E-05 1.6688nE'0 24 3.95992E-05 9.62815E-01 5.73620E-05 1.71735E 00 25 2.85055E-05 9.74064E-01 4.17836E-05 1.76792E C0 26 2.02770E-05 9.38365E-01 3.00524E-05 1.82056E 00 27 1.42606E-05 9.99738E-Cl 2.13536E-05 1.87534r 00 28 9.92086E-06 1.0142nE 00 1.49970E-05 1.93231E 00 29 6.83059E-06 1.02978E 00 1.04160E-05 1.99154E 00 33 4.65678E-06 1.04650E 03 7.1578DE-05 2.05359E 00 31 3.14521E-06 1.C6437E 00 4.86932F-06 2.117,22E 00 32 2.1055SE-06 1.08343E 00 3.28084E-06 2.18341E 00 33 1.39789E-06 1.1C371E 0 2.19056E-06 2.25230E 00 34 9.20808E-07 1.12522E 03 1.45011E-06 2.32379E 00 35 6.02126E-07 1.14802E 00 9.52239E-07 2.39793E 00 36 3.91067E-07 1.17211E 30 6.23611E-07 2.47480E 00 37 2.52397E-07 1.19755E 00 4.01651E-07 2.55448E r0 38 1.61963E-07 1.22436E 03 2.58265E-07 2.63703E 00 39 1.03389E-07 1.25257E 00 1.65083E-07 2.72253E 00 40 6.56889E-08 1.28224E 00 1.04953E-07 2.81107E 00 41 4.15628E-08 1.31339E CO 6.64028E-08 2.90272E 00 42 2.62031E-08 1.34607E 03 4.18327E-08 2.99756E 00 43 1.64694E-08 1.38033E 0' 2.62564E-08 3.09567E 00 44 1.03258E-08 1.41619E 03 1.64283E-08 3.19715E 00 45 6.46171E-09 1.45371E 00 1.02531E-08 3.30206E 00 46 4.03833E-09 1.49294E 03 6.38672E-09 3.41051E 00 47 2.52203E-09 1.53393E 00 3.97319E-09 3.52258E 00 48 1.57493E-09 1.57672E 00 2.47011E-09 3.63835E 00 49 9.84033E-10 1.62136E 00 1.53567E-09 3.75793E 00 50 6.15565E-10 1.66791E 00 9.55393E-10 3.88140E 00 SUM S(J) FOR R = 1.24798945E-02 SUM S(J) FOR P = 1.28947629E-02 111

WILLOW RUN LABORATO-RIES STRENGTHS AND F FACTORS OF THE V = 3 TO V = 3 TRANSITIONS OF HF TEMPERATURE = 400.0 DEG. K R BRANCH P BRANCH J S(J) F(J) S(J) F(J) C 1.43384E-04 9.86606E-01 1 2.79866E-04 9.74285E-01 1.44213E-04 1.01449E 00 2 4.03889E-04 9.63017E-01 2.83107E-04 1.03008E 0' 3 5.10795E-04 9.52785E-31 4.10903E-04 1.04682E On 4 5.97112E-04 9.43574E-01 5.22600E-04 1.06472E 00 5 6.63738E-04 9.35369E-01 6.14313E-04 1.08380E 00 6 7.00978E-04 9.28158E-01 6.83478E-04 1.lu410E 00 7 7.18480E-04 9.21931E-01 7.28966E-04 1.12564E 00 8 7.15042E-04 9.16676E-01 7.51C33E-04 1.14846E 00 9 6.93373E-04 9.12386E-01 7.51184E-04 1.17258E 00 16 6.56785E-04 9.09055E-01 7.31932E-04 1.19804E 0? 11 6.08887E-04 9.C6676E-01 6.96509E-04 1.22487E u0 12 5.53314E-04 9.05247E-01 6.48553E-04 1.25312E 00 13 4.93477E-04 9.04765E-01 5.91811E-04 1.28281E 0' 14 4.32388E-34 9.05229E-01 5.29873E-04 1.31399E 00 15 3.72547E-04 9.06640E-01 4.65970E-04 1.34670E 0' 16 3.15887E-04 9.09001E-01 4.02834E-04 1.38098E 00 17 2.63774E-04 9.12315E-01 3.42620E-04 1.41688E 00 18 2.17050E-04 9.16586E-01 2.86892E-04 1.45444E 30 19 1.76107E-G4 9.21823E-01 2.36657E-04 1.49370E 00 20 1.40970E-04 9.28032E-01 1.92431E-04 1.53471E 00 21 1.11389E-04 9.35225E-01 1.54320E-04 1.57754E 00 22 8.69243E-05 9.43410E-01 1.22122E-04 1.62222E 00 23 6.73258E-05 9.52603E-01 9.54130E-05 1.66880E 00 24 5.10920E-05 9.62815E-01 7.36339E-05 1.71735E 00 25 3.85193E-05 9.74064E-01 5.61580E-05 1.76722E 00 26 2.87356E-05 9.86365E-1l 4.23463E-05 1.82056E 00 27 2.12215E-05 9.99738E-01 3.15855E-05 1.P7534E 00 28 1.55218E-05 1.01420E 00 2.33146E-05 1.93231E 00 29 1.12490E-05 1.02978E GO 1.70386E-05 1.99154E 00 30 8.08136E-06 1.04650E 03 1.23339E-05 2.05309E 00 31 5.75768E-06 1.06437E 00 8.84760E-06 2.11702E 00 32 4.07003E-06 1.08343E 03 6.29219E-06 2.18341E 00 33 2.85579E-06 1.10371E 03 4.43841E-06 2.25230E 00 34 1.98989E-06 1.12522E 03 3.10668E-06 2.32379E 00 35 1.37751E-06 1.14802E 00 2.15877E-06 2.39793E 00 36 9.47815E-07 1.17211E O0 1.48989E-06 2.47480E 00 37 6.48496E-07 1.19755E 03 1.02173E-06 2.55448E 00 38 4.41412E-07 1.22436E 03 6.96561E-07 2.63703E 00 39 2.99043E-07 1.25257E 00 4.72302E-07 2.72253E 00 40 2.01731E-07 1.28224E 00 3.18658E-07 2.81107E 00 41 1.35571E-07 1.31339E 00 2.14033E-07 2.90272E 00 42 9.08071E-08 1.34607E 00 1.43185E-07 2.99756E 00 43 6.06511E-08 1.38033E 00 9.54530E-08 3.09567E 00 44 4.04142E-08 1.41619E 00 6.34414E-08 3.19715E 00 45 2.68794E-08 1.45371E 00 4.20601E-08 3.30206E 00 46 1.78531E-08 1.49294E 60 2.78296E-08 3.41051E 00 47 1.18477E-08 1.53393E'0 1.83873E-08 3.52258E 00 48 7.85980E-09 1.57672E OG 1.21377E-08 3.63835E 00 49 5.21518E-09 1.62136E 03 8.00964E-09 3.75793E 00 50 3.46294E-09 1.66791E 00 5.28684E-09 3.88140E 00 SUM S(J) FOR R = 1.01135910E-02 SUM S(J) FOR P = 1.06736143E-02 112

WILLOW RUN LABORATORIES STRENGTHS AND F FACTORS OF THE V = 3 TO V = 3 TRANSITIONS OF HF TEMPERATURE = 4500.0 DEG. K R BRANCH P BRANCH J S(J) F(J) S(J) F(J) 0 1.05061E-04 9.86606E-01 1 2.05420E-04 9.74285E-31 1.05822E-04 1.01449E 00 2 2.97448E-04 9.63017E-01 2.08400E-04 1.03008E 00 3 3.78056E-04 9.52785E-01 3.03925E-04 1.04682E 00 4 4.44867E-04 9.43574E-01 3.89028E-04 1.06472E 00 5 4.96328E-04 9.35369E-31 4.60981E-04 1.0838CE 00 6 5.31745E-04 9.28158E-01 5.17840E-04 1.10410E 00 7 5.51270E-04 9.21931E-01 5.585266-04 1.12564E 00 8 5.55796E-04 9.16676E-01 5.82833E-04 1.14846E 00 9 5.46842E-04 9.12386E-01 5.91366E-04 1.17258E 30 1' 5.26379E-04 9.09055E-01 5.85427E-04 1.198C4E 00 11 4.96654E-04 9.C6676E-01 5.66866E-04 1.22487E 00 12 4.60025E-04 9.05247E-01 5.37899E-04 1.25312E 00 13 4.188C5E-04 9.04765E-01 5.00932E-04 1.28281E CO 14 3.75131E-04 9.C5229E-01 4.58391E-04 1.31399E 00 15 3.3C883E-04 9.C664CE-01 4.12580E-04 1.34670E 00 16 2.87618E-04 9.09001E-01 3.65566E-G4 1.38098E OC 17 2.46547E-04 9.12315E-01 3.19104E-04 1.41688E 00 18 2.08542E-04 9.16586E-;-1 2.74598F-04 1.45444E?0 19 1.74157E-04 9.21823E-01 2.33388E-04 1.49370E 30 2C 1.43671E-04 9.28332E-01 1.95273E-04 1.53471E 00 21 1.17139E-04 9.35225E-01 1.61545E-04 1.57754E 00 22 9.44356E-05 9.4341CE-01 1.32332E-04 1.62222E 00 23 7.53138E-05 9.52603E-01 1.06662E-04 1.66880E 00 24 5.94441E-05 9.62815E-01 8.52378E-05 1.71735E 00 25 4.64543E-05 9.74064E-01 6.73405E-05 1.76792E -0 26 3.59591E-05 9.86365E-C1 5.26730E-05 1.82056E 30 27 2.75826E-05 9.9973PE-01 4.07940E-05 1.87534E 00 28 2.09742E-05 1.01420E 00 3.12954E-05 1.93231E 00 29 1.58174E-05 1.02978E 0 2.37914E-05 1.99154E 3O 30 1.18346E-05 1.C4650E 00 1.79304F-05 2.05309E 00 31 8.78861E-06 1.06437E 00 1.34019E-05 2.11702E 00 32 6.48043E-06 1.08343E 00 9.93851E-05 2.18341E 00 33 4.74652E-06 1.10371E CO 7.31529E-06 2.25230E 00 34 3.45468E-06 1.12522E 30 5.34651E-06 2.32379E 00 35 2.49961E-06 1.148C2E 00 3.88161E-06 2.39793E 00 36 1.79863E-06 1.17211E CO 2.8G047E-05 2.47480E 00 37 1.28761E-06 1.19755E C8 2.00865E-05 2.55448E 00 38 9.17441E-07 1.22436E 03 1.43288E-06 2.63703E 00 39 6.50871E-07 1.25257E 03 1.01700E-06 2.72253E 00 40 4.59949E-07 1.28224E 00 7.18494E-07 2.811:7E 00 41 3.23891E-07 1.31339E 00 5.05469E-07 2.90272E 00 42 2.27374E-07 1.34607E 03 3.54258E-07 2.99756E O 43 1.59190E-07 1.38033E 00 2.47450E-07 3.09567E OC 44 1.11200E-07 1.41619E 3G 1.72339E-07 3.19715E 00 45 7.75342E-08 1.45371E 00 1.19731E-07 3.3C206E O0 46 5.39842E-08 1.49294E 03 8.30131E-08 3.41051E 00 47 3.75504E-08 1.53393E 0 5.74660E-08 3.52258E 00 48 2.61054E-08 1.57672E 00 3.97376E-08 3.63835E 00 49 1.81470E-08 1.62136E 00 2.74621E-08 3.75793E 00 50 1.26193E-08 1.66791E 00 1.89767E-08 3.88140E 00 SUM S(J) FOR R = 8.31833005E-3 SUM S(J) FOR P = 8.93720376E-03 113

WILLOW RUN LABORATORIES STRENGTHS AND F FACTORS OF THE V = 0 TO V = 3 TRANSITIONS OF HF TEMPERATURE = 5000.0 DEG. K R BRANCH P BRANCH J S(J) F(J) S(J) F(J) 0 7.88156E-05 9.86606E-01 1 1.54319E-04 9.74285E-01 7.94741E-05 1.01449E 00 2 2.24058E-04 9.63017E-01 1.56904E-04 1.03008E 00 3 2.85918E-04 9.52785E-01 2.29696E-04 1.046B2E 00 4 3,38230E-04 9.43574E-01 2.95515F-04 1.06472E 00 5 3.79845E-04 9.35369E-01 3.52411F-04 1.08380E 0n 6 4.10158E-04 9.28158E-01 3.98919E-04 1.1041CE 00 7 4.29115E-04 9.21931E-01 4.34117E-04 1.12564E 00 8 4.37151E-04 9.16676E-01 4.57641E-04 1.14846E 00 9 4.35137E-04 9.12386E-01 4.69671E-04 1.17258E 00 10 4.24272E-04 9.09055E-01 4.70869E-04 1.19804E 00 11 4.05983E-04 9.06676E-01 4.62300E-04 1.22487E 00 12 3.81825E-04 9.05247E-01 4.45327E-04 1.25312E 00 13 3.53374E-04 9.04765E-01 4.21504E-04 1.28281E 00 14 3.22144E-04 9.05229E-01 3.92469E-04 1.31399E 00 15 2.89520E-04 9.06640E-01 3.59845F-04 1.34670E 00 16 2.56709E-04 9.09301E-01 3.25157E-04 1.38098E 00 17 2.24709E-04 9.12315E-01 2.89768E-04 1.41688E 00 18 1.94299E-04 9.16586E-01 2.54840E-04 1.45444E 00 19 1.66045E-04 9.21823E-01 2.21305E-04 1.49370E 00 20 1.40315E-04 9.2e832E-01 1.89868E-04 1.53471E 00 21 1.17303E-04 9.35225E-01 1.61014E-04 1.57754E 00 22 9.70583E-05 9.43410E-01 1.35029E-04 1.62222E 00 23 7.95170E-05 9.52603E-01 1.12028F-04 1.66880E 00 24 6.45313E-05 9.62815E-01 9.19927E-05 1.71735E 00 25 5.18962E-05 9.74064E-01 7.47958E-05 1.76792E 00 26 4.13738E-05 9.86365E-01 6.02381E-05 1.82056E 00 27 3.27117E-05 9.99738E-01 4.80733E-05 1.87534E 00 28 2.56585E-05 1.01420E 00 3.80310E-05 1.93231E 00 29 1.99743E-05 1.02978E 00 2.98357E-05 1.99154E 00 30 1.54376E-05 1.04650E 00 2.32198E-05 2.05309E 00 31 1.18498E-05 1.06437E 00 1.79335E-05 2.11702E 00 32 9.03703E-06 1.08343E 00 1.37503E-05 2.18341E 00 33 6.84974E-06 1.10371E 02 1.04703E-05 2.25230E 00 34 5.16194E-06 1.12522E 00 7.92065E-06 2.32379E 00 35 3.86896E-06 1.14802E 00 5.95490E-06 2.39793E 00 36 2.88517E-06 1.17211E 00 4.45100E-05 2.47480E 00 37 2.14141E-06 1.19755E 0 3.30878F-06 2.55448E 00 38 1.58246E-06 1.22436E 03 2.44716E-06 2.63703E 00 39 1.16473E-06 1.25257E 00 1.8C136E-06 2.72253E 00 40 8.54137E-07 1.28224E 00 1.32321E-06 2.81107E 00 41 6.24311E-07 1.31339E 00 9.63716E-07 2.90272E 00 42 4.54989[-07 1.34607E 03 7.00947E-07 2.99756E 00 43 3.30739E-07 1.38333E 03 5.08176E-07 3.09567E 00 44 2.39890E-07 1.41619E 00 3.67371E-07 3.19715E 00 45 1.73677E-07 1.45371E 00 2.64927F-07 3.30206E 00 46 1.25557E-07 1.49294E 00 1.90657E-07 3.41051E 00 47 9.06704E-08 1.53393E 00 1.36982E-07 3.52258E 00 48 6.54313E-08 1.57672E 00 9.82955F-08 3.63835E 00 49 4.72025E-08 1.62136E 00 7.04777E-08 3.75793E 00 50 3.40542E-08 1.66791E 00 5.05132E-08 3.88140E 00 SUM S(J) FOR R = 6.92498595E-03 SUM S(J) FOR P = 7.55456495E-03 114

WILLOW RUN LABORATORIES REFERENCES 1. R. Herman and R. J. Rubin, Astrophys. J., Vol. 121, 1955, p. 533. 2. R. Herman and R. F. Wallis, J. Chem. Phys., Vol. 23, 1955, p. 637. 3. H. Hanson, et al., J. Chem. Phys., Vol. 27, 1957, p. 40. 4. R. Herman, R. W. Rothery, and R. J. Rubin, J. Mol. Spectry., Vol. 2, 1958, p. 369. 5. P. M. Morse, Phys. Rev. Vol. 34, 1929, p. 57. 6. C. L. Pekeris, Phys. Rev., Vol. 45, 1934, p. 98. 7. R. W. Nicholls and A. L. Stewart in Atomic and Molecular Processes, ed. by D. R. Bates, Academic, 1962, Chapter 2. 8. R. W. Nicholls, J. Quant. Spectry. Radiative Transfer, Vol. 5, 1965, p. 647. 9. R. N. Zare, E. O. Larson, and R. A. Berg, J. Mol. Spectry, Vol. 15, 1965, p. 117. 10. F. R. Gilmore, J Quant. Spectry. Radiative Transfer, Vol. 5, 1965, p. 369. 11. D. E. Mann, et al., J. Chem. Phys., Vol. 34, 1961, p. 420. 12. R. J. Lovell and W. F. Herget, J. Opt. Soc. Am., Vol. 52, 1962, p. 1374. 13. R. L. Wilkins, Theoretical Evaluation of Chemical Propellants, Prentice-Hall, 1963, Chapter 3. 14. R. C. Herman and K. E. Shuler, J. Chem. Phys., Vol. 22, 1952, p. 481. 15. H. S. Heaps and G. Herzberg, Z. Phys., Vol. 133, 1952, p. 48. 115

WILLOW RUN LABORATORIES DISTRIBUTION LIST DEFENSE DOCUMENTATION CENTER COMMANDING GENERAL J. S. ARMY J. S. NAVY CAMERON STATION U. S. ARMY MISSILE COMMAND RAR COLLEGE NAVAL ORDNANCE LADORATORY ALEXANDRIA, VIRGINIA DIR. OF RES. + DEV., ARPA DIV. CARLISLE BARRACKS, PENNSYLVANIA WHITE OAK ATTN. MURFREE, FULLER E. REDSTONE ARSENAL, ALABAMA 35809 ATTN. LIBRARY SILVER SPRING, MARYLAND 23910 COPY NO. 1- 20 ATTN. LINDBERG, WILLIAM J. COPY NO. 51 ATTN. MAXWELL, DR. LOUIS R. AMSMI-RN COPY NO. 66 DEPARTMENT OF DEFENSE COPY NO. 37 J. S. ARMY DEFENSE ATOMIC SUPPORT AGENCY FRANKFORD ARSENAL U. S. NAVAL ORDNANCE LABORATORY THE PENTAGON J. S. ARMY BRIDGE + TACONY STREETS SOLID STATE DIVISION WASHINGTON 25, D. C. ARMY MISSILE COMMAND PHILADELPHIA 37, PENNSYLVANIA WHITE OAK ATTN. DOCUMENT LIBRARY BRANCH SCIENTIFIC INFORMATION CENTER ATTN. LIBRARY SILVER SPRING, MARYLAND COPY NO. 21 REDSTONE ARSENAL, ALABAMA COPY NO. 52 A&TTN. TALBERT, WILLIAM W. ATTN. ROGERS, CLARA T. CPY NO. 67 DIRECTOR TECHNICAL LIBRARIAN COMMANDER DEPARTMENT OF DEFENSE COPY NO. 32 U. S. NAVY U. S. NAVY DEFENSE RES. AND ENGRG. NAVAL ORDNANCE TEST STATION OFFICE OF NAVAL RESEARCH PENTAGON COMMANDING GENERALCHINA LAKE, CALIFORNIA BOSTON 13, MASSACHUSETTS WASHINGTON 25, D C. U. S. ARMY ATTN. KRJSE, CAROLYN J. ATTN. DOwD, T. B. ATTN. TECHNICAL LIBRARY ARMY MISSILE COMMANDCODE 753 COPY NO. 68 COPY NO. 22 REOSTONE ARSENAL COPY NO. 53 HUNTSVILLE, ALABAMA 35839 DIRECTOR DEPARTMENT OF DEFENSE ATTN. VANN, FRANK M.COMMANDERAIR UNIVERSITY LIBRARY ADVANCED RESEARCH PROJS. AGCY. AMSMI-RNR/F J. S. NAVAL ORDNANCE TEST STATION MAXWELL AIR FORCE BASE PENTAGON COPY NO. 39 CHINA LAKE, CALIFORNIA ALABAMA WASHINGTON, D. C. 20331 ATTN. MOORE, DONALD K. ATTN. AUL3T-63-376 ATTN. HERZFELD, DR. CHARLES M. COMMANDER CODE 434 ELIZABETH C. PERKINS COPY NO. 23 J. S. ARMY COPY NO. 54 DOCUMENT LIBRARIAN FOREIGN SCIENCE + TECH. CENTER COPY NO. 69 DEPARTMENT (OF DEFENSE ARLINGTON HALL J. S. NAVY ADVANCED RESEARCH PROJ. AGENCY WASHINGTON 25, D. C. NAVAL ORDNANCE TEST STATION U. S. AIR FORCE PENTAGON ATEN. LIBRARY CHINA LAKE, CALIFORNIA SPACE SYSTEMS DIVISION WASHINGTON, C. C. 23331 COPY NO. 40 ATTN. REGELSON, EPHRAIM AIR FORCE UNIT POST OFFICE ATTN. KILRNAN, LT. COL. J. M. CODE 35 LOS ANGELES 45, CALIFORNIA COPY NO. 24 J. S. ARMYVIA. CODE 3316 ATTN. WEAR, THOMAS 0. HARRY DIAMOND LABORATORIES. COPY NO. 55 COPY NO. 70 DEPARTMENT OF DEFENSE WASHINGTON 25, U. C. ADVANCED RESEARCH PROJS. AGCY. ATTN. ALTMANN, DR. B. J. S. NAVY J. S. AIR FORCE PENTAGON, ROOM 2B261 CHIEF, TECH. INFO. OFF. NAVAL MISSILE CENTER IEADQUARTERS WASHINGTON, D. C. 20331 COPY NO. 41 POINT MUGU, CALIFORNIA BALLISTIC SYSTEMS DIVISION ATTN. KOETHER, FRED A. ATTN. BARNCASTLE, LEROY NORTON AIR FORCD BASE TECH. INFORMATION OFFICE J. S. ARMY COPY NO. 56 SAN BERNARDINO, CALIF. 92439 COPY NO. 25- 27 HARRY DIAMOND LABORATORIES ATTN. BRASSFIELD, WILLIAM H. WASHINGTON 25, D. C. U. S. NAVY bSY DEPARTMENT OF DEFENSE ATTA. HUMPHREY, ROBERT G. NAVAL MISSILE CENTER COPY NO. l71 ADVANCED RESEARCH PROJ. AGCY. COPY NO. 42 POINT MUGU, CALIFORNIA PENTAGON, ROOM 2B267 ATTN. TECHNICAL LIBRARY J. S. AIR FORCE WASHINGTON, D. C. 2C301 J. S. ARMY COPY NO. 57 BALLISTIC SYSTEMS DIVISION ATTN. MC LAIN, CLIFFORD E. HARRY DIAMOND LABORATORIES NORTON AIR FORCE BASE COPY NO. 28 CONNECTICUT AVENUE + VAN NESS U. S. NAVY SAN BERNARDINO, CALIFORNIA WASHINGTON 25, D. C. NAVAL UNDERWATER SOUND LAB. ATTN. ElbLING, CAPT. JOSEPH E. DEPARTMENT OF DEFENSE ATTN. R-<OSENBERG, JOHN E. DOFL FORT TRUMbULL BSRVS-2 ADV. RESEARCH PROJECTS AGENCY LIB., RM. 211, BLDG. 92 NEW LONDON, CONNECTICUT COPY NO. 72 BALLISTIC MSSL DEFENSE DIV. COPY NO. 43 ATTN. FREE, LOUIS J. WASHINGTON, D. C. 293S 1 COPY NO. 5 J. S. AIR FORCE ATTN. NUTTING, PERLEY G. U.S. ARMY BALLISTIC SYSTEMS DIVISION COPY NO. 29 BALLISTIC RESEARCH LABS. COMMANDING OFFICER AND DIRECTOR NORTON AIR FORCE BASE ABERDEEN PROVING GROUNDS J. S. NAVY UNDERWATER SOUND LAO. SAN RERNARDINO, CALIF. 924S 9 DEPARTMENT OF DEFENSE ABERDEFN, MARYLAND FORT TRUMBULL ATTN. MIDDLEKAUF, COL. DARWIN ACVANCED RESEARCH PRJS. AGCY. ATTN. TECHNICAL LIBRARY NEW LONDON, CONNECTICUT hSY PENTAGON, ROOM 2B285 COPY NO. 44 AT1N. LYMAN, D.C. COPY NO. 73 WASHINGTON, D. C. 203031 LIBRARIAN ATTN. TORMAY, MAJOR JOHN C. J.S. A,<MY COPY NO. b59 HEADQUARTERS COPY NO. 30 PICATINNY ARSENAL U. S. AIR FORCE DOVER, NEW JERSEY CHIEFAFRSTb DEPARTMENT OF DEFENSE ATTN. BENSON, WILLARD R. BUREAU OF NAVAL WEAPONS WASHINGTON, D. C. 20330 ADVANCED RESEARCH PROJS. AGCY. SMUPA-VC NAVY DEPARTMENT ATTEN. WALLACE, MAJOR JAMES, JR. PENTAGON, RM. 3D157 COPY NO. 45 WASHINGTON, D.C. COPY NO. 74 WASHINGTON, D. C. 20331 ATTN. CODE DLI-3 ATTN. ZIRKIND, RALPH J. S. ARMY COPY NO. CO J. S. Alk FORCE COPY NO. 31 ARMY ORDNANCE H-. AIR FORCE SYSTEMS COMMAND PICATEINNY ARSENAL A;DREWS AIR FORCE BASE HEADQUARTERS FIELD COMMAND DLVER, NEW JERSEY U.S. NAVY WASHINGTON 25, D. C. DEFENSE ATOMIC SUPPORT AGENCY ATTN. TECH. INFORMATION LIB. SPECIAL PROJECTS OFFICE ATTN. TECHNICAL LIBRARY SANDIA BASE COPY NO. 46 ASHINCTON 25, D. C. RITCHIE, MARGUERITE G. ALBUQUERQUE, NEW MEXICO 87115 ATTN. WrLLIAMS, DON R. COPY NO. 75 ATTN. FC TECHNICAL LIBRARY J. S. ARMY MATERIEL COMMAND OPY NO. 61. S. AIR FORCE MERRIOTT, CDHEE W. (LIB) ZEUS FIELD OFFICE DIRECTORATE OF DEV. PLANNING COPY NO. 32 BVLL TELEPHONE LABORATORIESPENTAGON WHIPPANY, NER JERSEY C7981"VUS NAVY PENTAGON CDMMANOANT ATTIN. FLINT, LT. COL. GLENWOOD W. NAVAL RESEARCH LABORATORY ASINTON 5, 0. C. ARMED FORCES STAFF COLLEGE COPY NO. D WASHINGTON 25, D. C. ATTN. HUSKEY, L. COL. HOMER A. NORFOLK 11, VIRGINIA ATTN. BALWANZ, W. W. COPY N. ATTN. LIBRARY COMMANDING OFFICERCDy N. 2U. S. AIR FORCE COPY NO. 33 J. S. ARMY HQ. AIR FORCE SYSTEMS COMMAND ELECTRONICS RES. - LEV. ACTIVITY J. S. NAVY box 119 ANDREWS AIR FORCE BASE J. S. ARMY WHITE SANDS MISSILE RANGE NAVAL RESEARCH LABORATORY WASHINGTON 25, D. C. ARMY MISSILE COMMAND NEW MEXICO 880R02WSINDN 25, S.. ATTN. CAREY, CAPT. GERALD J., JR. REDSTONE ARSENAL ATTN. ROBERTS, GEORGE ATTN. DRJMMETER, L. 7360 SCFTO HUNTSVILLE, ALABAMA S-ELWS-WV COPY NO. 63 COPY NO. 77 ATTN. HACEFSTRATION, JOHN E. COPY NO. 48 J. S. AIR FORCE AMSMI-RNM MISSILE TEST CENTER COPY NO. 34 COMMANDING OFFICER (CODE 7300) PATRICK AIR FORCE BASE, FLORIDA COMMANDING GENERAL J.S. NAVY ATTN. BURGESS, JOHN A. MTQU COMMANDING GENERAL WHITE SANDS MISSILE RANGENAVAL RESEARCH LABORATORY COPY N. 78 U. S. ARMY MISSILE COMMAND NEW MEXICO WASHINGTON 25, 0. C.. S. AIR FOR REDSTONE ARSENAL, ALABAMA ATTN. TRISDALE, RAYMON ATTN. SANDERSON, DR. JOHNB MTDRD-, FLOG. 9A9 ATTN. JACKSON, HOWARD T., JR. TECH. LIBRARY-RR-229 COPY NO. 64 PATRICE, FLORIDA AMSMI-RNR COPY NO. 49AAT C AF, COPY NO. 3D A~~~~~~~~~~~~~~~~~~~~~TTN. CALFO, 0. 5. COPY NO. 35 C-F G s.. 79 DIRECTOR LIBRARIANC S COMMANDING GENERAL J. S. ARMY J. S. NAVY U. S. AIR FORCE J. S. ARMY MATERIAL COMMAND RESEARCH OFFICE NAVAL ORDNANCE LABORATORY EASTERN TEST RANGE ZEUS PROJECT OFFICE BOX CM, DUKE UNIVERSITY STATION WhITE OAK (ETLIG-1) REDSTONE ARSENAL, ALABAMA DURHAM, NORTH CAROLINA SILVER SPRING, MARYLAND PATRICK AFB, FLORIDA 32925 ATTN. AMOPM-ZER ATTN. ORDOR-PC ATTN. LIBERMAN, EVA ATTN. SCI. + TECH. INFORM. OFF. COPY NO. 36 COPY NO. 50 COPY NO. 65 COPY NO. 80 116

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UNCLASSIFIED Security Classification DOCUMENT CONTROL DATA- R&D (Security classification of title, body of abstract and indexing annotation must be entered when the overall report is classified) 1 ORIGINATING ACTIVITY (Corporate author) 2a REPORT SECURITY C LASSIFICATION Willow Run Laboratories, Institute of Science and Technology, Unclassified The University of Michigan, Ann Arbor 2 b GROUP 3 REPORT TITLE LINE-STRENGTH CALCULATIONS FOR THE 0 -1, 0 - 2, 0 - 3, AND 1 - 2 VIBRATION-ROTATION BANDS OF HYDROGEN FLUORIDE 4 DESCRIPTIVE NOTES (Type of report and inclusive dates) 5 AUTHOR(S) (Last name, first name, initial) Meredith, Robert E., Kent, Norman F. 6 REPORT DATE 7a. TOTAL NO. OF PAGES 7b. NO. OF REFS APRIL 1966 iv + 120 15 8a CONTRACT OR GRANT NO. 9a. ORIGINATOR'S REPORT NUMBER(S) SD-91 4613-125-T b. PROJECT NO. c. 9b. OTHER REPORT NO(S) (Any othernumbers that may be assigned this report) d. 10. AVA ILABILITY/LIMITATION NOTICES Qualified requesters may obtain copies of this document from DDCo 11 SUPPLEMENTARY NOTES 12. SPONSORING MILITARY ACTIVITY Advanced Research Projects Agency, Department of Defense Washington, D. C. 13. ABSTRACT Line strengths are calculated for the 0 - 1, 0 - 2, and 1 - 2 vibration-rotation bands of hydrogen fluoride by use of the anharmonic oscillator potential and for the 0 - 1, 0 - 2, 0 - 3, and 1 - 2 bands by use of the Morse potential. The two sets of calculations are compared, and it is found that the line strengths depend quite strongly on the shape of the potential well even for transitions involving such lowlying levels. All calculations have been carried out for a number of temperatures in the 300~K to 50000K range. The partition functions and line positions used in the calculations are also presented. D D,JAN J 1473 UNCLASSIFIED Security Classification

UNIVERSITY OF MICHIGAN UNCLASSIFIED3 9015 03695 6 1 _ Security Classification..... 14. LINK A LINK B LINK C KEY WORDS ROLE WT ROLE WT ROLE WT Hydrogen fluoride Line strength Radiation Spectroscopy Molecules Absorption Emission INSTRUCTIONS 1. ORIGINATING ACTIVITY: Enter the name and address imposed by security classification, using standard statements of the contractor, subcontractor, grantee, Department of De- such as: fense activity or other organization (corporate author) issuing (1) "ualified requesters may obtain copies of this the report. report from DDC." 2a. REPORT SECURITY CLASSIFICATION: Enter the over2a. REPORT SECURITY CLASSIFICATION: Enter the over- (2) "Foreign announcement and dissemination of this all security classification of the report. Indicate whether ror not au ie "Restricted Data" is included. Marking is to be in accord- report by DDC s not authorzed ance with appropriate security regulations. (3) "U. S. Government agencies may obtain copies of 2b. 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