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The crystallographic restriction in higher dimensions (1985)

Hiller, H.

[S.l.] : International Union of Crystallography (IUCr)

Acta crystallographica 41 (1985), S. 541-544

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ISSN: 1600-5724

Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001

Topics: Chemistry and Pharmacology , Geosciences , Physics

Notes: 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.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1107/S0108767385001180

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