Accession Number : AD0697836

Title :   RELATIVISTIC EFFECTS IN LEAD TELLURIDE.

Descriptive Note : Doctoral thesis,

Corporate Author : MASSACHUSETTS INST OF TECH CAMBRIDGE DEPT OF ELECTRICAL ENGINEERING

Personal Author(s) : Conklin,James B. , Jr

Report Date : 01 JUN 1964

Pagination or Media Count : 141

Abstract : The Augmented Plane Wave Method for calculating the band structure of a solid has been extended to include the relativistic terms of the two-component Hamiltonian which is obtained by two successive applications of the Foldy-Wouthuysen transformation to the Dirac Hamiltonian. The order of the secular equation is reduced by using basis functions which are basis partners for the irreducible representations of the double group. These functions are constructed from the solutions of the non-relativistic Hamiltonian for lead telluride. The forms of the relativistic matrix elements between them are found, with full use of group-theoretical techniques to simplify the calculation. These matrix elements are evaluated numerically, and the resulting Hamiltonian matrix is diagonalized to give the energy levels of lead telluride. The resulting band structure appears to be reconcilable with the available experimental information about lead telluride and, it is hoped, will be of value in correctly interpreting the experimental data for the material. (Author)

Descriptors :   (*LEAD COMPOUNDS, *BAND THEORY OF SOLIDS), BRILLOUIN ZONES, RELATIVITY THEORY, WAVE FUNCTIONS, GROUPS(MATHEMATICS), HAMILTONIAN, THESES

Subject Categories : Solid State Physics

Distribution Statement : APPROVED FOR PUBLIC RELEASE