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Representations of the space group D¹⁹ ₄h, and the corresponding double space group Guccione, Rosalia Giuseppina

Abstract

One of the existing methods of calculating the characters of irreducible representations of space groups and double space groups is described in some detail, and applied to the case of the non-symmorphic space group D¹⁹ ₄h (I4₁/amd) (which is the space group of crystals of white tin). A complete list of the characters of irreducible representations of this space group and the corresponding double group is given. Some useful relations involving the characters are also included.

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