The crystallographic restriction in higher dimensions

The crystallographic restriction in higher dimensions
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DOI:
10.1107/s0108767385001180
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发表时间:
1985-11
期刊:
Acta Crystallographica Section A
影响因子:
--
通讯作者:
H. Hiller
H. Hiller
中科院分区:
其他
文献类型:
--
作者:
H. Hiller

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尺寸二和三的晶体学限制被推广到任意维度。是Euler的基本功能的附加版本。
The crystallographic restriction in dimensions two and three is generalized to arbitrary dimensions. It is shown that m can occur as the order of an element of the point group of an n-dimensional space group if and only if Φ(m) ≤ n where Φ is an additive version of Euler's totient function. A table of these allowable orders in dimensions ≤ 23 is provided.