View Item 

Show simple item record

Propagation of Bragg‐Reflected Neutrons in Bounded Mosaic Crystals
dc.contributor.authorWerner, S. A.en_US
dc.contributor.authorArrott, Anthonyen_US
dc.contributor.authorKing, John Swintonen_US
dc.contributor.authorKendrick, H.en_US
dc.date.accessioned2010-05-06T20:36:44Z
dc.date.available2010-05-06T20:36:44Z
dc.date.issued1966-05en_US
dc.identifier.citationWerner, S. A.; Arrott, Anthony; King, J. S.; Kendrick, H. (1966). "Propagation of Bragg‐Reflected Neutrons in Bounded Mosaic Crystals." Journal of Applied Physics 37(6): 2343-2350. <http://hdl.handle.net/2027.42/69444>en_US
dc.identifier.urihttps://hdl.handle.net/2027.42/69444
dc.description.abstractThe analysis of the multiple Bragg reflection of a neutron beam of finite size in a semi‐infinite mosaic crystal given in a recent paper by Werner and Arrott is generalized to include bounded crystals. The coupled differential equations describing secondary extinction given by Hamilton are solved in general, and a method of piecewise solution, or solution by regions, is given.A discussion is given of experiments on the spatial distribution of the diffracted current from slab‐shaped crystals. Various methods for measuring the probability for Bragg scattering per unit path are compared and found not to agree. It is felt that the discrepancies are basic to the mosaic structure of crystals in general.en_US
dc.format.extent3102 bytes
dc.format.extent529116 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.titlePropagation of Bragg‐Reflected Neutrons in Bounded Mosaic Crystalsen_US
dc.typeArticleen_US
dc.subject.hlbsecondlevelPhysicsen_US
dc.subject.hlbtoplevelScienceen_US
dc.description.peerreviewedPeer Revieweden_US
dc.contributor.affiliationumScientific Laboratory, Ford Motor Company, Dearborn, Michiganen_US
dc.contributor.affiliationumDepartment of Nuclear Engineering, University of Michigan, Ann Arbor, Michiganen_US
dc.description.bitstreamurlhttp://deepblue.lib.umich.edu/bitstream/2027.42/69444/2/JAPIAU-37-6-2343-1.pdf
dc.identifier.doi10.1063/1.1708815en_US
dc.identifier.sourceJournal of Applied Physicsen_US
dc.identifier.citedreferenceS. A. Werner and A. Arrott, Phys. Rev. 140, A675 (1965). This paper will be referred to as BRI.en_US
dc.identifier.citedreferenceW. C. Hamilton, Acta Cryst. 10, 629 (1957).en_US
dc.identifier.citedreferenceSee, for example, W. H. Zachariasen, X‐Ray Diffraction in Crystals (John Wiley & Sons, Inc., New York, 1944), p. 120.en_US
dc.identifier.citedreferenceThese equations were given by Hamilton (1957).en_US
dc.identifier.citedreferenceIt is apparent that Σs(k)  =  Σs(k+2πG),Σs(k)=Σs(k+2πG), where G is the reciprocal lattice vector of interest. Commonly used expressions for ΣsΣs are given in Ref. 1.en_US
dc.identifier.citedreferenceSee, for example, G. E. Bacon and R. D. Lowde, Acta Cryst. 1, 303 (1948).en_US
dc.owningcollnamePhysics, Department of


Files in this item

Name:
JAPIAU-37-6-2343-1.pdf
Size:
516.7KB
Format:
PDF
View/Open

Show simple item record

Remediation of Harmful Language

The University of Michigan Library aims to describe its collections in a way that respects the people and communities who create, use, and are represented in them. We encourage you to Contact Us anonymously if you encounter harmful or problematic language in catalog records or finding aids. More information about our policies and practices is available 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.