A distribution function F(y), in which the logarithm of a quantity is normally distributed, i.e. F(y)=fgauss(ln y) where fgauss(x) is a Gaussian distribution. The size distributions of atmospheric aerosols are often described using this distribution function, although the term also applies to gaseous pollutants.
PAC, 1990, 62, 2167. 'Glossary of atmospheric chemistry terms (Recommendations 1990)' on page 2199 (https://doi.org/10.1351/pac199062112167)