Log-Normal distribution

Summary

Log-Normal distribution: the logarithm of the molecular weight is normally distributed

• Function

  \[W(M) = W_0 \frac{1}{\sqrt{2\pi\sigma^2}} \exp\left[ - \frac{\left(\ln{M}-(\ln{M_0} + \sigma^2)\right)^2}{2\sigma^2} \right]\]

• Parameters

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

  • logM0 \(\equiv\log_{10}(M_0)\)

  • sigma \(\equiv\sigma\)