Show simple item record

Velocity Dependence of the Differential Cross Sections for the Scattering of Atomic Beams of K and Cs by Hg

dc.contributor.authorMorse, Fred A.en_US
dc.contributor.authorBernstein, Richard B.en_US
dc.date.accessioned2010-05-06T21:20:21Z
dc.date.available2010-05-06T21:20:21Z
dc.date.issued1962-11-01en_US
dc.identifier.citationMorse, Fred A.; Bernstein, Richard B. (1962). "Velocity Dependence of the Differential Cross Sections for the Scattering of Atomic Beams of K and Cs by Hg." The Journal of Chemical Physics 37(9): 2019-2027. <http://hdl.handle.net/2027.42/69910>en_US
dc.identifier.urihttps://hdl.handle.net/2027.42/69910
dc.description.abstractMeasurements of the velocity dependence of the angular intensity distribution of potassium and cesium beams scattered by a crossed beam of mercury are presented. The alkali beam was velocity selected, with a triangular velocity distribution (half‐intensity width 4.7% of peak velocity); the velocity was varied over the range 185–1000 m/sec. The Hg beam had a thermal distribution; the average Hg speed was ∼235 meters per second. The scattering data have been converted to the center‐of‐mass system. The angular distributions show the expected strong forward scattering and evidence the phenomenon of rainbow scattering. The energy dependence of the rainbow angle is used to evaluate the interatomic potential well depth, interpreted as the dissociation energy De of the 2Σ+ molecular ground state. Values (in erg×1014) thus obtained (±5%) are 7.46 for KHg and 7.72 for CsHg. Absolute values of differential cross sections could not be obtained; only relative cross sections D(θ) are reported. The observed low‐angle behavior D(θ) ∝θ‐ 7/3 serves as direct experimental confirmation of the r—6 dependence of the long‐range attractive potential for K☒Hg and Cs☒Hg systems.en_US
dc.format.extent3102 bytes
dc.format.extent605565 bytes
dc.format.mimetypetext/plain
dc.format.mimetypeapplication/pdf
dc.publisherThe American Institute of Physicsen_US
dc.rights© The American Institute of Physicsen_US
dc.titleVelocity Dependence of the Differential Cross Sections for the Scattering of Atomic Beams of K and Cs by Hgen_US
dc.typeArticleen_US
dc.subject.hlbsecondlevelPhysicsen_US
dc.subject.hlbtoplevelScienceen_US
dc.description.peerreviewedPeer Revieweden_US
dc.contributor.affiliationumChemistry Department, University of Michigan, Ann Arboren_US
dc.description.bitstreamurlhttp://deepblue.lib.umich.edu/bitstream/2027.42/69910/2/JCPSA6-37-9-2019-1.pdf
dc.identifier.doi10.1063/1.1733421en_US
dc.identifier.sourceThe Journal of Chemical Physicsen_US
dc.identifier.citedreferenceF. A. Morse, R. B. Bernstein, and H. U. Hostettler, J. Chem. Phys. 36, 1947 (1962).en_US
dc.identifier.citedreferenceH. U. Hostettler and R. B. Bernstein, Rev. Sci. Instr. 31, 872 (1960).en_US
dc.identifier.citedreferenceH. U. Hostettler and R. B. Bernstein, Phys. Rev. Letters 5, 318 (1960). These experiments involved the scattering of velocity‐selected Li beams by Hg. Because of the lower reduced mass μ of this system and the deeper potential well depth ϵ12ϵ12 (compared to the K‐Hg and Cs‐Hg systems), comparable values of the reduced relative kinetic energy K would have required higher Li speeds than attainable with the apparatus. Thus rainbow angles1 for the Li‐Hg system would be expected to be well outside the angular range of the experiments.en_US
dc.identifier.citedreferenceF. A. Morse, Ph.D. dissertation, University of Michigan, Ann Arbor, Michigan, June 1962.en_US
dc.identifier.citedreferenceP. Kusch, Notes on Angular Resolution (unpublished notes), Columbia University, New York July 1960.en_US
dc.identifier.citedreferenceThe c.m. data‐conversion problem for crossed molecular beams has been considered and analyzed (in part) by several workers: (a) H. U. Hostettler and R. B. Bernstein, University of Michigan (unpublished notes), September 1958; (b) D. R. Herschbach, University of California, Rept. UCRL‐9379, April 1960; (c) R. Helbing and H. Pauly, Diplomarbeit (Helbing) University of Bonn, 1961; (d) S. Datz, D. R. Herschbach, and E. H. Taylor, J. Chem. Phys. 35, 1549 (1961); (e) E. F. Greene and J. Ross, Brown University (private communication), March 1962.en_US
dc.identifier.citedreferenceThe averaging of n2n2 is not a serious problem since it may be regarded as constant; for most crossed beam experiments the secondary beam path length across the primary beam is usually very short and its transmission through the scattering zone is. nearly 100%.en_US
dc.identifier.citedreferenceH. S. W. Massey and C. B. O. Mohr, Proc. Roy. Soc. (London) A144, 188 (1934).en_US
dc.identifier.citedreferenceH. Pauly, Z. Naturforsch. 14A, 1083 (1959).en_US
dc.identifier.citedreferenceH. Pauly, University of Bonn (private communication), March 1961.en_US
dc.identifier.citedreferenceTK  =  450 °K,TK=450°K, THg  =  365 °K.THg=365°K.en_US
dc.identifier.citedreferenceSee, for example, E. H. Kennard, Kinetic Theory of Gases (McGraw‐Hill Book Company, Inc., New York, 1938), p. 120. Assume V(r)  =  −C/r6V(r)=−C∕r6 and small θ (i.e., sinθ ≅ θsinθ≅θ).en_US
dc.identifier.citedreferenceR. Helbing and H. Pauly [Z. Physik (to be published); also reference 6(c)] have obtained similar evidence for the systems K‐Ar, ‐Xe, ‐Br2,‐Br2, etc., from measurements of the low‐angle scattering of thermal K beams (no velocity selection).en_US
dc.identifier.citedreferenceSee, for example, procedures in J. O. Hirschfelder, C. F. Curtiss, and R. B. Bird, Molecular Theory of Gases and Liquids (John Wiley & Sons, Inc., New York, 1954).en_US
dc.identifier.citedreferenceE. A. Mason, J. Chem. Phys. 26, 667 (1957).en_US
dc.identifier.citedreferenceK. W. Ford and J. A. Wheeler [Ann. Phys. (N.Y.) 7, 287 (1959)] have shown that the classical rainbow infinity (cusp) becomes a smooth maximum according to the semiclassical analysis.en_US
dc.identifier.citedreferenceOne of the major difficulties in evaluating 2n̄2 is the question of “cloud formation” in front of the secondary oven slit, and the attendant scattering which produces a serious alteration of the velocity distribution and an appreciably lower net intensity of the secondary beam at the target zone. For THg  =  365 °K,THg=365°K, PHg  =  0.16 mm Hg;cf.PHg=0.16mmHg;cf. TK  =  450 °K,TK=450°K, PK  =  2.5×10−3 mm Hg.PK=2.5×10−3mmHg.en_US
dc.identifier.citedreferenceE. W. Rothe and R. B. Bernstein, J. Chem. Phys. 31, 1619 (1959).en_US
dc.identifier.citedreferenceFrom Landolt‐Börnstein, Physikalisch‐Chemische Tabellen (Springer‐Verlag, Berlin, 1950) 6th ed., I. Band, 3. Teil, with α calculated from molar polarization on p. 514; a corresponding value is listed in I. Band, 1. Teil, p. 401. Since the calculated C depends nearly linearly upon α (Hg) and also upon α (K or Cs), the uncertainty in α values lead to serious errors. In addition, the SK formula is only approximate; thus the C values quoted must be regarded as semiquantitative estimates. Ratios of C’s are, of course, more reliable due to cancellations.en_US
dc.identifier.citedreferenceA. Salop, E. Pollack, and B. Bederson, Phys. Rev. 124, 1431 (1961).en_US
dc.owningcollnamePhysics, Department of


Files in this item

Show simple item record

Remediation of Harmful Language

The University of Michigan Library aims to describe library materials in a way that respects the people and communities who create, use, and are represented in our collections. Report harmful or offensive language in catalog records, finding aids, or elsewhere in our collections anonymously through our metadata feedback form. More information at Remediation of Harmful Language.

Accessibility

If you are unable to use this file in its current format, please select the Contact Us link and we can modify it to make it more accessible to you.