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- W2488410146 abstract "Crystals and many molecules are invariant under various groups of coordinate rotations and reflections about a specified point, often the center of one atom. These groups of operations, called “point symmetry groups,” are subgroups of the coordinate rotations and reflections. This chapter aims at identifying the various discrete symmetry elements, primarily axes of finite rotation, reflection planes, and their combinations into various groups. The chapter also presents relevant elements of the formal theory of groups, primarily the theory of the “character tables.” The search for a maximal set of commuting operations has a simple answer when all operations of the group commute with one another. All group operators can then be diagonalized simultaneously. Each of their simultaneous eigenvectors will never be changed into another one by a group operation, thus constituting by itself an irreducible set." @default.
- W2488410146 created "2016-08-23" @default.
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- W2488410146 date "1996-01-01" @default.
- W2488410146 modified "2023-09-26" @default.
- W2488410146 title "Discrete Transformations of Coordinates" @default.
- W2488410146 doi "https://doi.org/10.1016/b978-012248455-1/50012-9" @default.
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