Abstract
Considering contributions of the cubic and other higher order anharmonic terms in the potential energy function, a new equation for the thermal expansion coefficient, α, for ionic solids has been derived. It has been shown that all the equations derived by earlier workers are either one or the other special case of this equation. The present equation has been applied to some face-centred cubic, body-centred cubic and zinc-blende structure types of ionic crystals to compute the values of α on the basis of Born—Mayer interaction potential function and on comparison with the experimental values of α a satisfactory agreement has been found.
Similar content being viewed by others
References
F. A. Hummel, J. Amer. Ceram. Soc.,33, 102, 1950;J.R. Partington, An Advance Treatise on Physical Chemistry, Vol. 3, Longman and Green Co. Ltd., London, 1952;J. B. Austin, J. Amer. Ceram. Soc.,35, 243, 1952.
H. T. Amyth, J. Amer. Ceram. Soc.,38, 140, 1955.
S. Kumar, Central Glass Ceram. Res. Inst. Bull. Calcutta,7, 58, 1960; Proc. Nat. Inst. Sci. India,25A, 364, 1959.
S. P. Srivastava, S. Kumar andM. P. Madan, Indian J. Phys.,41, 833, 1967;S. P. Srivastava andM. P. Madan, J. Phys. Soc. Japan,23, 1433, 1967;S. P. Srivastava, Phys. Status Solidi (b)50, k 123, 1973;J. N. Plendl, S. S. Mitra andP. J. Gielissee, Phys. Status Solidi, (b),12, 367, 1965.
R. C. Bowman, Jr., Phys. Chem. Solids,34, 1754, 1973.
A. H. Wilson, Thermodynamics and Statistical Mechanics, Univ. Press, Cambridge, 1957.
S. P. Srivastava andR. S. Saraswat, J. Phys. Chem. Solids,36, 351, 1975.
W. E. Bleick, J. Chem. Phys.,2, 160, 1934.
J. E. Mayer, J. Chem. Phys.,1, 330, 1933;J. E. Mayer andB. B. Levy, J. Chem. Phys.,1, 647, 1933.
S. P. Srivastava andK. C. Lal, Zeit. f. physik. Chemie, New Folge,91, 153, 1974;S. P. Srivastava andK. C. Lal, J. Phys. Soc. Japan,28, 525, 1970.
S. P. Srivastava, S. Kumar andM. P. Madan, Indian J. Phys.,41, 833, 1967;M. L. Huggins andJ. E. Mayer, J. Chem. Phys.,5, 143, 1937;G. C. Benson andE. Dempsey, Proc. Roy. Soc.,A266, 344, 1962.
S. Hart, Brit. J. Appl. Phys. (J. Phys. D)1, 1285, 1968;F. D. Enck, Phys. Rev.,119, 1977, 1960.
“American Institute of Physics Handbook” (McGraw Hill Book Co. Inc., N.Y.) 4–73, 1963.
J. E. Mayer, J. Chem. Phys.,1, 330, 1933;W. E. Bleick, J. Chem. Phys.,2, 160, 1934;J. E. Mayer andB. B. Levy, J. Chem. Phys.,1, 647, 1933.
Author information
Authors and Affiliations
Additional information
The work was done at the Indian Institute of Technology, Kanpur, India.
Rights and permissions
About this article
Cite this article
Srivastava, S.P. Thermal expansion coefficient of ionic crystals— An interatomic potential approach. Acta Physica 52, 31–37 (1982). https://doi.org/10.1007/BF03156203
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF03156203