The reduced cell

Authors

  • Francisco J. Fabregat G.

Keywords:

matrix, network, volume, reduction

Abstract

Based on a given elemental cell, the program sets up matrices for the direct reduction of the cell; then, it calculates its volume and determines the type of network.

Abstract from:

Gómez-Caballero, J. A. (2005). Historia e índice comentado del Boletín del Instituto de Geología de la UNAM. Boletín de la Sociedad Geológica Mexicana: Volumen Conmemorativo del Centenario Aspectos históricos de la Geología Mexicana, 57I(2), 149-185. http://dx.doi.org/10.18268/BSGM2005v57n2a3

References

Azaroff, L. V., & Buerger, M. J. (1958). The Powder Method in X-Ray Crystallography. McGraw Hill.

Buerger, M. J. (1957). Reduced cells. Zeitschrift für Kristallographie, 109, 42-60.

Buerger, M. J. (1960). Note on reduced cells. Zeitschrift für Kristallographie, 113, 52-56.

Dickinson, L. E. (1930). Studies in the theory of numbers. University of Chicago Press, Chapter XI.

Eisenstein, G. (1851). Tabelle der reduzierten positiven ternären quadratischen Formen. Journal für Mathematik, 41, 141-190.

Jones, B. V. (1935). A table of Eisenstein-reduced positive ternary quadratic forms of determinant 200. National Research Council Bulletin, 97.

Jones, B. V. (1950). The Arithmetic Theory of Quadratic Forms. The Carus Mathematical Monographs, Number 10. John Wiley.

Niggli, P. (1928). Kristallographische und strukturtheoretische Grundbegriffe. In Handbuch der Experimentalphysik, 7, 108-176. Akademische Verlagsgesellschaft.

Roof, R. B. (1969). A theoretical extension of the reduced-cell concept in crystallography. Los Alamos Scientific Laboratory, University of California, LA-4038.

Santoro, A., & Mighell, A. D. (1970). Determination of reduced cells. Acta Crystallographica Section A, 26, 124.

Seeber, L. A. (1831). Untersuchungen über die Eigenschaften der positiven ternären quadratischen Formen. Freiburg.

Downloads

Published

1972-01-01

Issue

No. 94 (1972): The clays of the carboniferous basin of Coahuila, Montmorillonite with interstratified structure and The reduced cell

Section

Artículos

License

Copyright (c) 2025 Boletín del Instituto de Geología

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.