高分子粘均分子量的两种模拟方法及比较

    The Comparison of Weibull Distribution to Logarithmic Normal Distribution in Simulation of Viscosity-Average Molecular Weights

    • 摘要: 提出了用高分子数均分子量及重均分子量的实验测定值来模拟粘均分子量的一般方法。对分子量服从Weibull分布及对数正态分布这两种常见情况,第一次建立了粘均分子量的模拟计算公式。进一步指出,在良性溶剂中大分子线团逐渐舒展开,两种分布模拟的结果十分接近,并与实验测定值做了比较,证实了上述结论。由于对数正态分布比Weibull分布更简单,粘均分子量又是高分子主要的特性参数之一,因此,对窄分布或中、宽分布良性溶剂的情况,建议采用对数正态分布来处理实验数据。

       

      Abstract: Based on the experimental data of number-average and weight-averge molecular weights,a general technique is developed in this work for simulating viscosity-average molecular weights.In the cases of polymer composition respresented by either Weibull distribution or logarithmic normal distribution,the equations are first set up for simulating viscosity-average molecular weights.Further more,this study indicates that the simulation results with respect to these two distributions become identical as a approaches unit in good solvents in which the large winded polymer molecules spread to form a variety of random coils in configuration.The experimental data substantiates the above conclusion.Finally it suggests in this study that because of the simplicity of logarithmic normal distribution in form,it is fairly wie ldy in simulating viscosity-average molecular weights for the case of the polymers with narrow andmiddle-broad distribution,and broad distribution in good solvents.

       

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