Accession Number : AD0618988

Title :   INTEGRITY BASES FOR VECTORS, THE CRYSTAL CLASSES,

Corporate Author : YALE UNIV NEW HAVEN CONN

Personal Author(s) : Smith,G. F. ; Rivlin,R. S.

Report Date : 18 JUN 1963

Pagination or Media Count : 52

Abstract : Irreducible integrity bases are determined for an arbitrary number of absolute vectors under the transformation groups describing 31 of the 32 crystal symmetries. The fundamental theorems in invariant theory which are used in generating the integrity bases are given. The triclinic, monoclinic, rhombic, tetragonal, hexagonal, and cubic systems are considered.

Descriptors :   (*SYMMETRY(CRYSTALLOGRAPHY), VECTOR ANALYSIS), (*VECTOR ANALYSIS, MATRICES(MATHEMATICS)), TENSOR ANALYSIS, CRYSTAL STRUCTURE, INVARIANCE, TRANSFORMATIONS(MATHEMATICS), POLYNOMIALS

Distribution Statement : APPROVED FOR PUBLIC RELEASE