
Accession Number : AD0686467
Title : THE RANDOM FIELD PROBLEM: PERTURBATIONS AT A LATTICE SITE DUE TO RANDOMLY DISTRIBUTED IMPURITIES.
Descriptive Note : Technical rept. Nov 68Jan 69,
Corporate Author : AEROSPACE CORP EL SEGUNDO CALIF LAB OPERATIONS
Personal Author(s) : Duckett.,Steven W.
Report Date : 17 JAN 1969
Pagination or Media Count : 37
Abstract : The problem of computing the field or other perturbation at a lattice site due to a random collection of impurity centers is considered. The Fourier transform of the field probability density is shown to be of the form exp(n bar psi(t)), where n bar is the average concentration of impurities and psi(t) is an integral that is a function of the individual centerimpurity interactions. The Fourier transform is used to calculate numerous quantities that are functions of the random field. Emphasis is placed on computing luminescent decay forms and the energy transfer probability from one center to surrounding acceptors, but the application of these calculations to the evaluation of other quantities (e.g., partition functions) is also considered. Graphs of some of the computed functions are presented. (Author)
Descriptors : (*CRYSTAL DEFECTS, FIELD THEORY), IMPURITIES, LUMINESCENCE, INTEGRAL TRANSFORMS, PERTURBATION THEORY
Subject Categories : Crystallography
Distribution Statement : APPROVED FOR PUBLIC RELEASE