Thermal Expansion of Ideal Polymer Crystals: Application to Polyethylene

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Abstract
There are three central force mechanisms underlying thermal expansion: bond stretching due to the asymmetry of pair potentials and two others due to tensions caused by vibrations with components away from the bond direction. Quasi-harmonic methods previously used for skeletal chain models are here applied to a central force model for orthorhombic polyethylene, giving qualitative agreement with experiment. Tension effects neglected in some earlier studies make appreciable negative contributions to αa and αb; conversely, bond-stretching effects make appreciable positive contributions to the negative αc. The temperature dependence of the setting angle of the skeletal planes has little effect on the macroscopic expansion.