Gaussian band shape

https://doi.org/10.1351/goldbook.G02597
A band shape described by the Gaussian function: \[F\left(\nu - \nu _{0}\right) = \frac{a}{\sqrt{\pi }}\ \text{e}^{-a^{2}\ (\nu - \nu _{0})^{2}}\] In this equation, \(a^{-1}\) is proportional to the width of the band, and \(\nu _{0}\) is the frequency of the band maximum.
See also:
Lorentzian band shape
Source:
PAC, 1996, 68, 2223. (Glossary of terms used in photochemistry (IUPAC Recommendations 1996)) on page 2244 [Terms] [Paper]