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VRML general position/symmetry diagrams of the 80 layer groups
Author(s) -
Tshudy David K.,
Litvin Daniel B.
Publication year - 1998
Publication title -
journal of applied crystallography
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.429
H-Index - 162
ISSN - 1600-5767
DOI - 10.1107/s0021889898010152
Subject(s) - vrml , position (finance) , layer (electronics) , symmetry (geometry) , group (periodic table) , crystallography , geometry , materials science , physics , computer science , chemistry , mathematics , nanotechnology , artificial intelligence , virtual reality , quantum mechanics , finance , economics
The crystallographic problem: The standard representations of the general position and symmetry diagrams of three-dimensional groups are twodimensional diagrams. These are projections onto a plane of, respectively, the general positions and the symbols of the symmetry elements. This is the case for space groups (International Tables for Crystallography, 1995) and for layer groups (Weber, 1929; Wood, 1964; Chapuis, 1996; Grell et al., 1988; International Tables for Crystallography, 1999). Three-dimensional diagrams of only the general position diagrams of the layer groups have been produced by Litvin & Litvin (1993). With this new program we have incorporated both the general position and symmetry diagrams into one three-dimensional diagram for each layer group. Each diagram can be rotated and zoomed to aid the visualization of the general positions and the symmetry of the 80 layer groups.