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International
Tables for Crystallography Volume A Space-group symmetry Edited by Th. Hahn © International Union of Crystallography 2006 |
International Tables for Crystallography (2006). Vol. A. ch. 9.2, pp. 750-755
https://doi.org/10.1107/97809553602060000518 |
References
Buerger, M. J. (1957). Reduced cells. Z. Kristallogr. 109, 42–60.Google Scholar
Buerger, M. J. (1960). Note on reduced cells. Z. Kristallogr. 113, 52–56.Google Scholar
Delaunay, B. N. (1933). Neuere Darstellung der geometrischen Kristallographie. Z. Kristallogr. 84, 109–149.Google Scholar
Delaunay, B. N., Galiulin, R. V., Dolbilin, N. P., Zalgaller, V. A. & Stogrin, K. I. (1973). On three successive minima of a three-dimensional lattice (in Russian). Dokl. Akad. Nauk SSSR, 209, 309–313.Google Scholar
Eisenstein, G. (1851). Tabelle der reducierten positiven quadratischen Formen nebst den Resultaten neuer Forschungen über diese Formen, insbesondere Berücksichtigung auf ihre tabellarische Berechung. J. Math. (Crelle), 41, 141–190.Google Scholar
Gruber, B. (1973). The relationship between reduced cells in a general Bravais lattice. Acta Cryst. A29, 433–440.Google Scholar
Gruber, B. (1978). Comments on Bravais lattices. Research report, Charles University, Prague, Czech Republic. Details can be obtained from the author on request.Google Scholar
Gruber, B. (1989). Reduced cells based on extremal principles. Acta Cryst. A45, 123–131.Google Scholar
International Tables for X-ray Crystallography
(1969). Vol. I, 3rd ed., edited by N. F. M. Henry & K. Lonsdale. Birmingham: Kynoch Press. [Abbreviated as IT (1969).]Google Scholar
Křivý, I. & Gruber, B. (1976). A unified algorithm for determining the reduced (Niggli) cell. Acta Cryst. A32, 297–298.Google Scholar
Mighell, A. D. (1976). The reduced cell: its use in the identification of crystalline materials. J. Appl. Cryst. 9, 491–498.Google Scholar
Mighell, A. D. & Rodgers, J. R. (1980). Lattice symmetry determination. Acta Cryst. A36, 321–326.Google Scholar
Mighell, A. D., Santoro, A. & Donnay, J. D. H. (1975). Addenda to International Tables for X-ray Crystallography. Acta Cryst. B31, 2942.Google Scholar
Niggli, P. (1928). Kristallographische und strukturtheoretische Grundbegriffe. Handbuch der Experimentalphysik, Vol. 7, Part 1. Leipzig: Akademische Verlagsgesellschaft.Google Scholar
Santoro, A., Mighell, A. D. & Rodgers, J. R. (1980). The determination of the relationship between derivative lattices. Acta Cryst. A36, 796–800.Google Scholar
Wolff, P. M. de, Belov, N. V., Bertaut, E. F., Buerger, M. J., Donnay, J. D. H., Fischer, W., Hahn, Th., Koptsik, V. A., Mackay, A. L., Wondratschek, H., Wilson, A. J. C. & Abrahams, S. C. (1985). Nomenclature for crystal families, Bravais-lattice types and arithmetic classes. Report of the International Union of Crystallography Ad hoc Committee on the Nomenclature of Symmetry. Acta Cryst. A41, 278–280.Google Scholar