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On the crystal structure problem for heavy rare-gas solids: A three-atom exchange perturbation analysis

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  • Dotelli, G.
  • Jansen, L.

Abstract

The observed higher stability of a face-centered cubic (fcc) arrangement of atoms in heavy rare-gas solids, relative to that of a hexagonal close-packed (hcp) structure, is ascribed to the effect of three-atom short-range (exchange) interactions on the static lattice energy, evaluated in first- and second-order exchange perturbation theory. The summations are limited to 66 isosceles triangles with two atoms nearest neighbors of a central atom in the solid. Highly accurate results are reported, in part supplementing those of early work. An approach is taken in which the electrons of each atom are replaced by one electron on a Gaussian orbital with characteristic parameter β chosen such as to reproduce the attractive part of a Lennard-Jones (6, 12) pair potential, thus implicitly including intra- and inter-atomic electronic correlations. The results, for a wide range of values for the dimensionless parameter βR (R is the nearest-neighbour distance in the solid at ambient pressure), invariably favor the fcc lattice, with a difference between fcc and hcp amounting to 0.4% of the total pair cohesive energy for solid argon, krypton and xenon (solid neon is a border case in thisanalysis). Recent papers on the crystal stability of rare-gas solids are critically examined.

Suggested Citation

  • Dotelli, G. & Jansen, L., 1996. "On the crystal structure problem for heavy rare-gas solids: A three-atom exchange perturbation analysis," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 234(1), pages 151-166.
    • Handle: RePEc:eee:phsmap:v:234:y:1996:i:1:p:151-166
    DOI: 10.1016/S0378-4371(96)00257-9
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    References listed on IDEAS

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    1. Murrell, Peter & Green, Donald W, 1977. "Non-Price Rationing of Intermediate Goods in Centrally Planned Economies: A Comment," Econometrica, Econometric Society, vol. 45(1), pages 175-181, January.
    2. W. N. Venables, 1974. "Null Distribution of the Largest Root Statistic," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 23(3), pages 458-465, November.
    3. Venables, W., 1976. "Some implications of the union-intersection principle for tests of sphericity," Journal of Multivariate Analysis, Elsevier, vol. 6(1), pages 185-190, March.
    4. repec:bla:econom:v:50:y:1983:i:197:p:71-78 is not listed on IDEAS
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