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Total Energy Calculation in α-SiO2 and β-Si3N4

Published online by Cambridge University Press:  22 February 2011

Yongnian Xu
Affiliation:
Department of Physics, University of Missouri-Kansas City, Kansas City, Missouri 64110
W. Y. Ching
Affiliation:
Department of Physics, University of Missouri-Kansas City, Kansas City, Missouri 64110
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Abstract

The self-consistent electronic structures and total energies for the crystalline α-SiO2 and β-Si3N4 are studied by means of the first-principles orthogonalized linear combination of atomic orbitals method. The calculated band structures are compared with the earlier non-self consistent results. The total energies in the local density approximation are evaluated as a function of lattice parameters. Reasonable values of equilibrium lattice constants and cohesive energies are obtained but the bulk modulus for α-SiO2 is overestimated.

Type
Research Article
Copyright
Copyright © Materials Research Society 1988

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References

1. Pantelides, S.T. and Harrison, W.A., Phys. Rev. B13, 2667 (1976).Google Scholar
2. Chelikowsky, J.R. and Schluter, M., Phys. Rev. B15, 4020 (1977).CrossRefGoogle Scholar
3. Lauglin, R.B., Joannopoulos, J.D., and Chadi, D.J., Phys. Rev. B20, 5228 (1979). S. Ciraci and I.P. Batra, Phys. Rev. M-5, 4923 (1977); P.M. Schneider and W.B. Fowler, Phys. Rev. BI5, 7122 (1978).Google Scholar
4. Li, Y.P. and Ching, W.Y., Phys. Rev. B31, 2172 (1985).Google Scholar
5. Dovesi, R., Pisani, C., Roetti, C., and Silvi, B., J. Chem. Phys. 86 (12) 6967 (1987).Google Scholar
6. Ren, S.Y. and Ching, W.Y., Phys. Rev. B23, 5454 (1981).CrossRefGoogle Scholar
7. Sokel, R.J., J. Phys. Chem. Solids 41, 899 (1980); J. Robertson, Philos. Mag. B44, 215 (1981).Google Scholar
8. Harmon, B.N., Weber, W. and Hamann, D.R., Phys. Rev. B25, 1109 (1982).Google Scholar
9. Ching, W.Y. and Harmon, B.N., Phys. Rev. B34, 5305 (1986).Google Scholar
10. Xu, Y. and Ching, W.Y., Paper presented at-The International Conference on the Electronic Structure and Phase Stabilities in Advanced Ceramics, Argonne National Laboratory, Argonne, Illinois, August 17–19, 1987.Google Scholar
11. DiStefano, T.H. and Eastman, D.E., Solid State Commun. 9, 2259 (1970).CrossRefGoogle Scholar
12. Carson, R.D. and Schanatterly, S.E., Phys. Rev. B33, 2432 (1986).CrossRefGoogle Scholar
13. Lange's Handbook of Chemistry, Editor: Dean, J.A. 12th Edition McGraw-Hill (1979)Google Scholar