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Elastic Constants of Calcium Fluoride

Published under licence by IOP Publishing Ltd
, , Citation R Srinivasan 1958 Proc. Phys. Soc. 72 566 DOI 10.1088/0370-1328/72/4/311

0370-1328/72/4/566

Abstract

Employing Born's theory of crystal lattices, the elastic constants of fluorspar have been evaluated theoretically. Besides the coulomb forces, repulsive forces between nearest neighbour calcium and fluorine atoms and fluorine-fluorine atoms have been assumed and the constants of the repulsive energy were evaluated from the equilibrium condition, the experimentally determined compressibility and the principal Raman frequency of fluorspar. The experimental values of c11, c12 and c44 are in fair agreement with the theoretically calculated values. Born's theory gives the sign of c12-c44 for fluorspar correctly but the theoretically calculated value of c12-c44 is only about half the experimentally observed value.

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10.1088/0370-1328/72/4/311