Mapping of rotational isomeric state chains with asymmetric torsional potential energy functions on a high coordination lattice: Application to polypropylene

A high coordination lattice model was recently introduced for simulating coarse-grained rotational isomeric state (RIS) chains in which the bonds have symmetric torsional potential energy functions, E(φ)=E(−φ). This symmetry was exploited in the coarse-graining and mapping onto the high coordination lattice, thereby making the procedure unsuitable (without modification) for application to chains where one or more bonds has an asymmetric torsion potential energy function, E(φ)≠E(−φ). The necessary modification is described here, and then documented by mapping previously described RIS models for isotactic and syndiotactic polypropylene onto the high coordination lattice. Each bead on the high coordination lattice represents a monomer unit, C3H6, of polypropylene. The conditional probabilities derived from the RIS model form the basis for the acceptance of the single bead moves used in the Monte Carlo simulations on the 2nnd lattice. The simulated chains have reasonable mean-square end-to-end distances and m...

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