Open AccessGeneral symmetry properties of incommensurately modulated crystals described by projective representations of line groups
Author(s) -
Ágnes Bálint,
István Nikolényi,
Cs. Mészáros
Publication year - 2015
Publication title -
journal of universal science online
Language(s) - English
Resource type - Journals
ISSN - 2416-0008
DOI - 10.17202/juso.2015.2.10
Subject(s) - formalism (music) , projective test , symmetry group , pure mathematics , theoretical physics , scattering , symmetry (geometry) , mathematics , physics , condensed matter physics , materials science , optics , geometry , art , musical , visual arts
After a detailed investigation of some fundamental general orthogonal symmetry properties of incommensurate condensed systems, the line groups are applied for describing the structure of such modulated crystals. It is demonstrated, that use of projective representations of these groups may give a more refined description of such structures and significantly extends applicability of the diffuse scattering formalism.