A refined equation of state of polymer crystals

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Abstract
A quantum mechanical version of the cell theory including approximately the effect of the first anharmonic term in the Hamiltonian was developed earlier. On the basis of this theory it has been found possible to explain the P-V-T behavior of several polymeric crystals sufficiently below their melting temperature. In this paper we have not only refined the theoretical procedure but have also taken account of the next higher order anharmonic term in the Hamiltonian. The comparison of the resulting equation of state with experimental results for polyethylene shows considerable extension of its range of validity both with respect to temperature and pressure as compared to the earlier case.