Accession Number : AD0607232

Title :   STOPPING BY ELASTIC COLLISIONS OF PARTICLES FROM A UNIDIRECTIONAL PLANE SOURCE.

Descriptive Note : Interim technical rept.,

Corporate Author : BATTELLE MEMORIAL INST COLUMBUS OHIO

Personal Author(s) : Baroody,E. M.

Report Date : AUG 1964

Pagination or Media Count : 1

Abstract : Calculations are made of certain averages for particles from a plane, unidirectional source being slowed down by elastic collisions in an infinite medium of randomly located target atoms. Calculations are based on the moments form of the Boltzmann transport equation and follow procedures frequently used in the theory of neutron moderation. Assuming isotropic scattering in center of mass coordinates, averages are determined for powers of the distance from the source and for Legendre polynomials which give information on the direction of motion. When the mean free path varies as a power of the energy a number of averages are determined at all energies for equal masses of fast particles and target atoms, and for the first collision interval for unequal masses. Expressions for spatial averages at zero energy are obtained by taking the Laplace transform of the moments equation. A few comparisons are made with moments calculated by other methods and comments are included on the place of such calculations in the theory of the stopping of kilovolt ions. An appendix reports some preliminary results for anisotropic scattering. (Author)

Descriptors :   (*ELECTRON IRRADIATION, ELASTIC SCATTERING), (*PARTICLE BEAMS, ELASTIC SCATTERING), SOLIDS, SEMICONDUCTORS, ISOTROPISM, MOMENTS, INTEGRAL TRANSFORMS, MOMENTS

Distribution Statement : APPROVED FOR PUBLIC RELEASE