In 2016 I had another attempt using actual
atmospheric emissivity measurements.
This APS docment pays lip service to the consensus by accepting the black body assumption for the surface IR and reducing
atmospheric emissivity, but it's still wrong.
i.e. sigma Ts ^ 4 = S (1 - a) / (1 - lambda / 2) where lambda is
the atmospheric emissivity, a is the albedo (0.7), S the incident solar flux (340 W / m ^ 2), sigma is the SB coefficient and Ts is the surface temperature (288K).
Not exact matches
The real GHE is the reduction of surface
emissivity, also possibly coupled convection as
atmospheric GHG thermal - emission Poynting Vectors annihilate the UP PVs in that wavelength interval.
If the atmosphere were then optically thin and had a low
emissivity (which I would think is likely unrealistic) then it would have an adiabatic - like lapse rate, but the
atmospheric temperature would drop from a surface temperature of 255 K, to even lower temperatures.
CO; 2 Observations of the Infrared Radiative Properties of the Ocean «[I] t is necessary to understand the physical variables contributing to sea surface emitted and reflected radiation to space.The
emissivity of the ocean surface varies with view angle and sea state, the reflection of sky radiation also depends on view angle and sea state, and the absorption of
atmospheric constituents such as water vapor, aerosols, and subdivisible clouds affect transmittance.»
So Kirchoff's Law NEVER applies to earth
atmospheric situations;
EMISSIVITY NEVER EQUALS ABSORPTANCE.