The polymer crystallization process and mechanism were studied by computer simulation method.It is benefit to understand the crystallization kinetics by comparing the simulated results with the experimental results.Based on a nonconserved spatiotemporal Ginzburg-Landau equation TDGL model

a novel three dimensional phase field model was established by combining the cellular automaton method with the general phase field model.For simulating the real three dimensional polymer crystallization process

the cellular automaton method was modified by the different steric structures and discretization methods.The different steric structures or discretization methods are related to the lattice parameters of syndiotactic polypropylene single crystals and the crystal growth faces of polymer single crystals.It was suggested that the novel method is a way of building bridges between the diffusion equation and polymer characterization.Moreover

the diffusion equations are discretized according to the diffusion coefficient of every lattice site in various crystal growth faces

and the shape of lattice is selected based on the real proportion of the unit cell dimensions.Especially

the other physics parameters of syndiotactic polypropylene also were introduced into the phase field model.The spatio-temporal growth of syndiotactic polypropylene single crystals during isothermal crystallization was simulated by the novel three dimensional phase field model.Three dimensional numerical calculations are performed to elucidate the faceted single crystal growth including square

rectangular

lozenge-shaped

and hexagonal single crystals.The corresponding three dimensional results were illustrated by the MatLab.Our simulated patterns are in good agreement with the experimental morphologies

and the physical origin of polymer single crystal growth is discussed.