Hi Andrew
I agree that it is defined in various ways throughout the literature. I tried to straighten it out
in my recent review article (Wolfire, Vallini, & Chevance, ARAA, 2022). The models estimate the L_FIR
by taking 2 x G_0, with the physical interpretation that all of the FUV is absorbed and converted to
dust emission. But there is also optical radiation with an energy comparable to the FUV radiation
that is also absorbed and converted to dust emission. So then in going from observations to models
one should include all of the dust emission (including that from PAHs) so the integral would go from 8 um to 1 mm.
This is sometimes called the TIR rather than the FIR, and it is really the TIR that should be used.
Mark