The molar volumes, the molar heat capacities and the molar entropies of solid argon are calculated from 0 K to the triple point using the vacancies-in-solid model. In the partition function, the central pairwise additive (Mie-Lennard-Jones 12,6) potential is used by introducing numbers, which is obtained by summing powers over all lattice points of a face-centred cubic in terms of the distance between nearest neighbours. A method of iteration is employed to evaluate the potential parameter. The results are compared with experimental values and other theoretical values. The results show a fair agreement with the experimental results.