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Molecular Mimicry of Structure and Electron Density Distributions in Minerals

Published online by Cambridge University Press:  28 February 2011

G. V. Gibbs
Affiliation:
Dept. of Geological Sciences State University, Blacksburg, VA 24060
M. B. Boisen Jr.
Affiliation:
Dept. of Mathematics, Virginia Polytechnic Institute State University, Blacksburg, VA 24060
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Abstract

Molecular orbital calculations on hydroxyacid molecules with first- and secondrow X-cations (X = Li through N and Na through S) yield bond lengths and angles that mimic those of chemically similar minerals. These bond lengths are used to find a formula giving bond length as a function of a bond-strength parameter that reproduces XO bond lengths in crystals with main-group X-cations from all six rows of the periodic table within 0.05Å on average. The molecular orbital calculations also provide insights into reaction energies, physical properties of crystals such as electron density distributions, and data not amenable to direct measurement. They also provide a basis from which computational models for mineral structures may be constructed.

Type
Articles
Copyright
Copyright © Materials Research Society 1986

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References

REFERENCES

[1] Pauling, L., The Nature of the Chemical Bond, 3rd ed. (Cornell University Press, Ithaca, New York, 1960).Google Scholar
[2] Pauling, L., J. Am. Chem. Soc. 51, 1010 (1929).CrossRefGoogle Scholar
[3] Cruickshank, D. W. J., J. Chem. Soc. 1077, 5486 (1961).Google Scholar
[4] Cruickshank, D. W. J., J. Mol. Structure 130, 177 (1985).CrossRefGoogle Scholar
[5] Smith, J. V. and Bailey, S. W., Acta Crystallogra. 16, 801 (1963).Google Scholar
[6] Noll, W., Angewandte Chemie, 22, 73 (1963).Google Scholar
[7] Baur, W. H., Trans. Am. Cry. Assoc. 6, 125 (1970).Google Scholar
[8] Brown, I. D. and Shannon, R. D., Acta Crystallogr. A 29, 266 (1973).Google Scholar
[9] O'Keeffe, M. and Hyde, B. G., Acta Crystallogr., B 32, 2923 (1976).Google Scholar
[10] Tossell, J. A., Trans. Am. Cry. Assoc. 14, 47 (1979).Google Scholar
[11] Gibbs, G. V., Am. Mineralogist 67, 421 (1982).Google Scholar
[12] Almenningen, A., Bastiansen, O., Ewing, V., Hedberg, K. and Traetteberg, M., Acta Chemica Scandinavica 17, 2455 (1963).Google Scholar
[13] Noll, W., in Silicons, Chemistry and Technology of Silicones (Academic Press, New York, 1968), 702 pp.Google Scholar
[14] Tossell, J. A., and Gibbs, G. V., Acta Crystallogr. A 34, 463 (1978).Google Scholar
[15] Barrow, M.J., Ebsworth, E. A. V. and Harding, M. M., Acta Crystallogr. B 35, 2093 (1979).Google Scholar
[16] Oberhammer, H. and Boggs, J. E., J. Am. Chem. Soc. 102, 7241 (1980).Google Scholar
[17] Ernst, C. A., Allred, A. L., Ratner, M. A., Newton, M. D., Gibbs, G. V., Moskowitz, J. W. and Topiol, S., Chem. Phys. Lett. 81 3, 424 (1981).CrossRefGoogle Scholar
[18] Galeener, F. L., J. Non-Cryst. Solids 49, 53 (1982).CrossRefGoogle Scholar
[19] Shannon, R. D., Acta Crystallogr. A 32, 751 (1976).Google Scholar
[20] Liebau, F., Structural Chemistry of Silicates (Springer-Verlag, New York, 1985).Google Scholar
[21] Hehre, W. J., Radom, L., Schleyer, P. V. R. and Pople, J. A., in Ab Initio Molecular Orbital Theory (John Wiley – Sons, 1986).Google Scholar
[22] Binkley, J. S., Frisch, M. J., DeFrees, D. J., Raghavachari, K., Whiteside, R. A., Schelgel, H. D., Fluder, E. M. and Pople, J. A., Gaussian 82, for the IBMiMVS system Copywrite c 1984 (Carnegie-Mellon University, 1984).Google Scholar
[23].Boisen, M. B. Jr. and Gibbs, G. V., (In preparation, 1986).Google Scholar
[24] O'Keeffe, M., Domenges, B. and Gibbs, G. V., J. Phys. Chem. 89, 2304 (1985).Google Scholar
[25] Swanson, D. K. and Prewitt, C. T., Am. Mineral. 68, 581 (1983).Google Scholar
[26] Gibbs, G. V., Finger, L. W. and Boisen, M. B. Jr., Am. Mineral. (Submitted).Google Scholar
[27] Hill, R. J., Newton, M. D. and Gibbs, G. V., J.Solid State Chem. 47, 185 (1983).CrossRefGoogle Scholar
[28] Stewart, R. F., Whitehead, M. A. and Donnay, G., Am. Mineral. 65, 324 (1980).Google Scholar
[29] Lager, G. A., Jorgensen, J. D. and Rotella, F. J., J. Appl. Phys. 53, 6751 (1982).CrossRefGoogle Scholar
[30] Newton, M. D. and Gibbs, G. V., Phys. Chem. Minerals 6, 221 (1980).Google Scholar
[31] Newton, M. D., in Structure and Bonding in Crystals, Vol.1, O'Keeffe, M. and Navrotsky, A., Eds. (Academic Press, New York, 1981).Google Scholar
[32] Geisinger, K. L., Gibbs, G. V. and Spackman, M. (In preparation).Google Scholar
[33] Glidewell, C. and Liles, D. C., Acta Crystallogr. B 34, 124 (1978).Google Scholar
[34] Karle, I. L., Karle, J. M. and Nielsen, C. J., Acta Crystallogr. C 42, 65 (1986).Google Scholar
[35] O'Keeffe, M., Newton, M. D. and Gibbs, G. V., Phys. Chem. Minerals 6, 305 (1980).Google Scholar
[36] Ross, N. L. and Meagher, E. P., Amer. Mineral. 69, 1145 (1984).Google Scholar
[37] Levien, L. and Prewitt, C. T., Am. Mineral. 66, 324 (1981).Google Scholar
[38] Warren, B. E. and Mozzi, R. L., J.Appl. Cryst. 2, 164 (1969).Google Scholar
[39] Geisinger, K. L. and Gibbs, G. V., Phys. Chem. Minerals 7, 204 (1981).Google Scholar
[40] Gibbs, G. V., Meagher, E. P., Newton, M. D. and Swanson, D. K., in Structure and Bonding in Crystals, eds. O'Keeffe, M. and Navrotsky, A. (Academic Press, Ithaca, N.Y., 1981), 195225.Google Scholar
[41] O'Keeffe, M. and Gibbs, G. V., J. Chem. Phys. 81 2, 876 (1984).Google Scholar
[42] Fischer, K., Zeits. fur Krist. 129, 222 (1969).Google Scholar
[43] O'Keeffe, M. and Gibbs, G. V., J.Phys. Chem. 89, 4574 (1985).Google Scholar
[44] Phillips, J. C., Solid State Phys. 37, 93 (1982).Google Scholar
[45] Geisinger, K. L., Gibbs, G. V. and Navrotsky, A., Phys. Chem. Minerals, 11, 266 (1985).Google Scholar
[46] Baur, W. H., in Structure and Bonding in Crystals, Vol. II, eds. O'Keeffe, M. and Navrotsky, A. (Academic, New York, 1981) pp. 3152.Google Scholar
[47] Navrotsky, A., Geisinger, K. L., McMillan, P. and Gibbs, G. V., Phys. Chem. Minerals, 11, 284 (1985).CrossRefGoogle Scholar
[48] Gupta, A. and Tossell, J. A., Am. Mineral., 68, 989 (1983).Google Scholar
[49] Zhang, Z. G., Boisen, M. B. Jr., Finger, L. W. and Gibbs, G. V., Am. Mineral. 70, 1238 (1985).Google Scholar
[50] Lindsay, C. G. and Gibbs, G. V., Abstract 98th Annual Meeting of the Geological Sociel) of America, 1985.Google Scholar
[51] Bragg, W. L. and West, J., Proc. Roy. Soc. (London), 114A, 450 (1927).Google Scholar
[52] Bloss, F. D., in Crystallography and Crystal Chemistry: An Introduction (Holt, Rinehart and Winston, Inc., New York, 1971).Google Scholar
[53] Slater, J. C., Symmetry and Energy Bonds in Crystals (Dover, New York, 1972).Google Scholar