Accession Number : AD0482625

Title :   A COMPUTER PROGRAM FOR EVALUATING LATTICE SUMS.

Descriptive Note : Master's thesis,

Corporate Author : NAVAL POSTGRADUATE SCHOOL MONTEREY CA

Personal Author(s) : Dickmann, David B.

Report Date : MAY 1966

Pagination or Media Count : 82

Abstract : A recurring problem in solid state physics is that of determining the electrostatic field or potential at a point within the crystal lattice arising from the molecules of the lattice themselves. A typical problem is that of finding the electrostatic binding potential of an ionic lattice assuming point charges. Work was performed toward perfecting a method for calculating the electric field arising from a lattice of dipoles. This work culminated in a paper detailing a procedure which ensures a rapidly converging summation of the three dimensional lattice sums involved. The present paper is an extension of the latter, presenting a computer program for evaluating dipole fields in a crystal lattice.

Descriptors :   (*ALGEBRA, COMPUTER PROGRAMMING), (*CRYSTAL LATTICES, ELECTROSTATIC FIELDS), (*ELECTROSTATIC FIELDS, MATHEMATICAL ANALYSIS), VOLTAGE, ELECTRIC FIELDS, DIPOLE MOMENTS, SOLID STATE PHYSICS, NUMERICAL METHODS AND PROCEDURES, MOLECULES, FLOW CHARTING.

Subject Categories : Theoretical Mathematics
      Crystallography

Distribution Statement : APPROVED FOR PUBLIC RELEASE