Symmetry-operations, point groups, space groups and ...

1. symmetry - operations , point groups , space groups and crystal structure KJ/MV 210. Helmer Fjellv g, Department of Chemistry, University of Oslo 1994. This compendium replaces chapter and 6 in West. Sections not part of the curriculum are enclosed in asterisks (*). It is recommended that the textbooks of West and Jastrzebski are used as supplementary reading material, with special emphasis on illustrative examples. In this compendium illustrative examples (in italics) have been chosen from close packed structures. A few symbols and synonyms are given in Norwegian as information. The compendium contains exercises which will not be explained in the classes. It is recommended to work through the exercises while reading this compendium. Introduction. Condensed phases may be liquids as well as solids. There are fundamental differences between liquids and solids regarding the long-range distribution of atoms. While liquids have long range disorder in a large scale, solids are mainly ordered, there is regularity in the repetition of structural fragments (atoms and/or groups of atoms) in the 3 dimensional material.

3 Figure 1. The definition of relations between angles and axes in unit cells. The unit cell is shown as the box on the left. Example 1 (2-dimensional unit cell)

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  Operations, Group, Points, Example, Space, Cells, Symmetry, Symmetry operations, Point groups, Space groups

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