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{\displaystyle {\frac {1}{\kappa }}={\frac {\int _{0}^{\infty }(\kappa _{\nu ,{\rm {es}}}+\kappa _{\nu ,{\rm {ff}}})^{-1}u(\nu ,T)d\nu }{\int _{0}^{\infty }u(\nu ,T)d\nu }}
from the top result below
https://en.wikipedia.org/wiki/Opacity_(optics)
More specifically, if a beam of light with frequency ν {\displaystyle \nu } travels through a medium with opacity κ ν {\displaystyle \kappa _{\nu }} and mass density � {\displaystyle \rho } , both constant, then the intensity will be reduced with distance x according to the formula I ( x ) = I 0 e − κ ν � x