Generalized Exponential Function

Summary

Generalized Exponential Function (GEX) for experimental molecular weight distributions.

• Function

  \[W(M) = W_0 \frac{b}{M_0 \Gamma\left(\frac{a+1}{b}\right)} \left(\frac{M}{M_0}\right)^{a} \exp\left[ -\left(\frac{M}{M_0}\right)^b \right]\]

• Parameters

  • logW0 \(\equiv\log_{10}(W_0)\): Normalization constant.

  • logM0 \(\equiv\log_{10}(M_0)\): Proportional to \(M_n\) and \(M_w\).

  • a : Parameter related to polydispersity and skewness

  • b : Parameter related to polydispersity and skewness