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For Thorium sulphide; the elastic energy density is expanded as a power series of strains using taylor series expansion starting from nearest neighbour distance and hardness parameter using Coulomb and Born Mayer potentials for obtaining higher order elastic constants. The higher order elastic constants for a crystal are useful for obtaining the anharmonic properties of crystal with in the limit of the continum approximation in a quanitative manner. Thorium sulphide crystal possesses face centred crystal structure. For obtaining second, third and fourth order elastic constants of Thorium sulphide crystal at elevated temperature are computed. These elastic constants are used to evaluate their pressure derivatives. The results are discussed.
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