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Crystal structure systematics from oxide phase diagrams by contouring them with Zoltai's tetrahedral sharing coefficient

Published online by Cambridge University Press:  03 March 2011

B.C. Chakoumakos
Affiliation:
Solid State Division, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831-6393
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Abstract

For crystal structures of oxides with tetrahedral coordination polyhedra, the average number of tetrahedra participating in the sharing of a corner, i.e., Zoltai's tetrahedral sharing coefficient, provides a measure of the degree of polymerization of the tetrahedra. By contouring oxide phase diagrams with Zoltai's tetrahedral sharing coefficient, crystal structure systematics can be conveniently displayed and correlated with other physical and thermochemical properties. The advantages of this analysis are (i) a structural map guides exploration for new compounds, (ii) possible structures for existing compounds that are not known are suggested, (iii) the internal consistency of the chemistry of specific compounds is tested by structural constraints, (iv) the physical behavior and properties of a family of compounds in a chemical system can be correlated with the degree of polymerization of the tetrahedra, and (v) the analysis lends itself to computer programming, in that contour templates of tetrahedral sharing coefficients for different types of oxide systems can be easily determined and overlaid on traditional phase diagrams. Shortcomings to this approach are that the tetrahedral sharing coefficient does not define a unique tetrahedral anion topology, ambiguities arise if some of the oxygen atoms are not part of the tetrahedral anion, and many chemical systems contain oxides where one or more of the tetrahedral cations adopt other coordination geometries.

Type
Articles
Copyright
Copyright © Materials Research Society 1995

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References

REFERENCES

1Hawthorne, F. C., Acta Crystallogr. A 39, 724 (1983).CrossRefGoogle Scholar
2Hawthorne, F. C., Am. Mineral. 70, 455 (1985).Google Scholar
3Hawthorne, F. C., The Stability of Minerals, edited by Price, G. D. and Ross, N.L. (Chapman & Hall, London, 1992), pp. 2587.Google Scholar
4Zoltai, T., Am. Mineral. 45, 960 (1960).Google Scholar
5Burns, P. C. and Hawthorne, F. C., Can. Mineral. 31, 321 (1993).CrossRefGoogle Scholar
6Liebau, F., Structural Chemistry of Silicates (Springer-Verlag, New York, 1985), pp. 139142.CrossRefGoogle Scholar
7Zoltai, T. and Stout, J. H., Mineralogy: Concepts and Principles (Burgess Publishing, Minneapolis, MN, 1984), pp. 117122.Google Scholar
8Phase Diagrams for Ceramists, Volume VI, edited by Roth, R. S., Dennis, J. R., and McMurdie, H. F. (The American Ceramic Society, Westerville, OH, 1987).Google Scholar
9Schichl, H., Vollenkle, H., and Wittmann, A., Monat. Chemie 104, 854 (1973).CrossRefGoogle Scholar
10Wang, B., Chakoumakos, B. C., Sales, B. C., Kwak, B. S., and Bates, J.B., J. Solid State Chem. (1995, in press).Google Scholar
11Ribbe, P. H., Gibbs, G. V., and Hamil, M. M., Am. Mineral. 62, 807 (1977).Google Scholar
12Belov, N. V., Maksimov, B. A., Nozik, Yu. Z., and Muradyn, L. A., Sov. Phys. Dokl. 23, 215 (1978).Google Scholar
13Hesse, K-F. and Liebau, F., Z. Kristallogr. 152, 3 (1980).CrossRefGoogle Scholar
14Hesse, K-F. and Liebau, F., Z Kristallogr. 153, 33 (1980).CrossRefGoogle Scholar
15Finger, L. W., Hazen, R. M., and Hemley, R. J., Am. Mineral. 74, 952 (1989).Google Scholar
16Chakoumakos, B. C., Fernandez-Baca, J.A., and Boatner, L. A., J. Solid State Chem. 103, 105 (1993).CrossRefGoogle Scholar