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
\(\equiv\sigma\)