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On Forbidden Positions in Crystal Space


The finiteness of atomic volumes and symmetry impose limitations on the positions in crystal space that are allowed for occupation when crystal atomic structures are formed. The results of studying the geometric features of the forbidden regions of crystal space are presented. A new classification of symmetry space groups, based on the symmetry of crystal space forbidden regions, is proposed.

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Correspondence to N. V. Somov.

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Original Russian Text © N.V. Somov, E.V. Chuprunov, 2018, published in Kristallografiya, 2018, Vol. 63, No. 3, pp. 361–365.

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Somov, N.V., Chuprunov, E.V. On Forbidden Positions in Crystal Space. Crystallogr. Rep. 63, 314–318 (2018).

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