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- W2025534098 abstract "Crystal structures can be interpreted as a systematic arrangement of atoms and interstices. Their spatial arrangement follows the duality principle. By using mathematical polyhedra it is possible to show an overall scheme in the simple crystal structures that is possibly hidden from view by the utilization of the hard-sphere-model or charge density distributions. In addition there is a dual connection between the shape of the atoms and the arrangement of these atoms (i.e. the crystal structure). Therefore, the shape is expected to control the arrangement, with some possible feedback from the arrangement on the shape. On the basis of the dual principle a connection can be recognized between some crystal structures. Allotrope transitions can also be explained by using this principle. Moreover, physical parameters which are connected to the crystal structure like atomic arrangement and E(k) of delocalized electrons also follow the duality principle. Consequently, it is possible to conclude that duality represents a basic principle of the simple single atomic type crystal structures. (© 2012 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)" @default.
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- W2025534098 date "2012-02-13" @default.
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- W2025534098 title "Duality in simple single atomic type crystal structures" @default.
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