https://doi.org/10.1351/goldbook.L03628
This band shape is described by the function: \[F\left(\nu - \nu _{0}\right) = \frac{1}{\pi }\ \gamma \ ((\nu - \nu _{0})^{2}+\gamma ^{2})^{-1}\] where \(\nu_{0}\) is the mean band position, \(\gamma \) is the half band width at half maximum, and \(F\ (\nu - \nu _{0})\) is the @F02526@ function.
See also:
Gaussian band shape