The coincidence problem for shifted lattices and crystallographic point packings

Loquias M, Zeiner P (2014)
Acta Crystallographica. Section A: Foundations of Crystallography 70: 656-669.

Zeitschriftenaufsatz | Veröffentlicht | Englisch
 
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Autor*in
Loquias, Manuel; Zeiner, PeterUniBi
Abstract / Bemerkung
A coincidence site lattice is a sublattice formed by the intersection of a lattice Gamma in R-d with the image of Gamma under a linear isometry. Such a linear isometry is referred to as a linear coincidence isometry of Gamma. The more general case allowing any affine isometry is considered here. Consequently, general results on coincidence isometries of shifted copies of lattices, and of crystallographic point packings are obtained. In particular, the shifted square lattice and the diamond packing are discussed in detail.
Stichworte
multilattices; packing; crystallographic point; coincidence site lattice; grain boundaries; diamond lattice
Erscheinungsjahr
2014
Zeitschriftentitel
Acta Crystallographica. Section A: Foundations of Crystallography
Band
70
Seite(n)
656-669
ISSN
0108-7673
Page URI
https://pub.uni-bielefeld.de/record/2710621

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Loquias M, Zeiner P. The coincidence problem for shifted lattices and crystallographic point packings. Acta Crystallographica. Section A: Foundations of Crystallography. 2014;70:656-669.
Loquias, M., & Zeiner, P. (2014). The coincidence problem for shifted lattices and crystallographic point packings. Acta Crystallographica. Section A: Foundations of Crystallography, 70, 656-669. https://doi.org/10.1107/S2053273314016696
Loquias, M., and Zeiner, P. (2014). The coincidence problem for shifted lattices and crystallographic point packings. Acta Crystallographica. Section A: Foundations of Crystallography 70, 656-669.
Loquias, M., & Zeiner, P., 2014. The coincidence problem for shifted lattices and crystallographic point packings. Acta Crystallographica. Section A: Foundations of Crystallography, 70, p 656-669.
M. Loquias and P. Zeiner, “The coincidence problem for shifted lattices and crystallographic point packings”, Acta Crystallographica. Section A: Foundations of Crystallography, vol. 70, 2014, pp. 656-669.
Loquias, M., Zeiner, P.: The coincidence problem for shifted lattices and crystallographic point packings. Acta Crystallographica. Section A: Foundations of Crystallography. 70, 656-669 (2014).
Loquias, Manuel, and Zeiner, Peter. “The coincidence problem for shifted lattices and crystallographic point packings”. Acta Crystallographica. Section A: Foundations of Crystallography 70 (2014): 656-669.

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