期刊
ACTA CRYSTALLOGRAPHICA A-FOUNDATION AND ADVANCES
卷 79, 期 -, 页码 550-559出版社
INT UNION CRYSTALLOGRAPHY
DOI: 10.1107/S2053273323007878
关键词
color symmetry; equivalent colorings; sphalerite; derived structures
In this research project, a framework is established to characterize and enumerate the colorings of a pattern fixed by a subgroup of the pattern's symmetry group. The framework is applied to the sphalerite structure to demonstrate the derived structures and examine the equivalences of colorings fixed by different subgroups.
In this research project, a framework is established that characterizes the colorings of a pattern fixed by an arbitrarily chosen finite-index subgroup of the pattern's symmetry group. This framework is applied to the sphalerite structure to enumerate all colorings fixed by two different subgroups of the symmetry group. These colorings are used to perform ordered substitution on the atoms in the sphalerite structure and demonstrate some of the well known derived structures (e.g. chalcopyrite, stannite). Some results involving equivalences of colorings fixed by the chosen subgroup are also developed.
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