k-distributions corresponding to Malkmus' narrow band model are inverse Gau
ssian distributions. Inverse Gaussian theory developments are therefore dir
ectly relevant to gas radiative transfer modeling. The present text illustr
ates some significant benefits that could be made from this observation: (i
) k-distribution formulations are simplified, (ii) numerical integration pr
ocedures can be optimized for each new configuration type, and(iii) frequen
tly encountered integrals can be solved analytically and numerical integrat
ions can be avoided. This last point is illustrated with the computation of
infra-red cooling rates in planetary atmospheres. (C) 1999 Elsevier Scienc
e Ltd. All rights reserved.