Not exact matches
The emissivity
of the surface in the infrared is unimportant because it behaves as though it were in a
blackbody cavity in
equilibrium with the lowest layers
of the atmosphere.
At
equilibrium, it will have a temperature at which the
blackbody flux at 15 microns would be half
of the actual OLR at 15 microns.
Scattering may also drive the distribution over polarizations toward an
equilibrium (which would be, at any given frequency and direction, constant over polarizations so long as the real component
of the index
of refraction is independent
of polarization) Interactions wherein photons are scattered by matter with some exchange
of energy will eventually redistribute photons toward a Planck - function distribution — a
blackbody spectrum — characteristic
of some temperature, and because the exchange involves some other type
of matter, the photon gas temperature (brightness temperature) will approach the temperature
of the material it is interacting with -LRB-?
I.absorbed / I.incident = absorptivity; I.absorbed = I.emitted; I.incident = B.emitted (because they have the same brightness temperature, where B.emitted is what would be emitted by a
blackbody, and is what would be in
equilibrium with matter at that temperature), emissivity = I.emitted / B.emitted; therefore, given that absorptivity is independent
of incident intensity but is fixed for that material at that temperature at LTE, and the emitted intensity is also independent
of incident intensity but is fixed for that material at that temperature, emissivity (into a direction) = absorptivity (from a direction).
So while, in the isothermal
blackbody surface approximation, if the starting surface temperature is 288 K and we know the OLR is reduced from surface emission by 150 W / m2 via GHE, we know that removing all greenhouse agents will have a TOA forcing
of -150 W / m2, (and some forcing at the tropopause, etc.) which will cool the surface temperature to about 255 K at
equilibrium, absent non-Planck feedbacks.
This was the
blackbody radiator fed with 240 W, that need to transfer 240W at
equilibrium to a reflective blanket that only absorbs 10 %
of the incident energy.
If the radiaitve thermal
equilibrium is both with the sun (a
blackbody) and space (a
blackbody), then no matter what kind
of non-
blackbody the earth is, absorptivity must still equal emissivity at every wavelength, unless someone is arguing that Kirchoff's law no longer holds.
At
equilibrium with cell contents and source at the same temperature, the spectrophotometer will see the same
blackbody curve and total energy flux for T whether the cell is evacuated or filled with any gas or mixture
of gases.
I'm not going to review the various arguments that indicate that this is indeed the
equilibrium — they are straightforward consideration
of the integrals over the
blackbody spectra from the two bodies that shows that the hotter one loses heat (on average) and the colder one gains heat (on average) until they are at the same temperature and have identical spectra, where the (time / frequency averaged integral
of the) flux
of the Poynting vector vanishes within microscopic thermal fluctuations
of the sort that are routinely ignored in thermodynamics.
Given that the
blackbody equilibrium temperature
of earth as seen from space is a function
of solar irradiance arriving and earth albedo and not much
of anything else apart from factors that change those two, anyone claiming earth's temperature isn't affected by solar output better have a pretty good theory and data to support that.
For example, a flat, perfect,
blackbody, receiving 965 W / m ^ 2 would, at
equilibrium, have a temperature
of 361.2 K (88 ºC, 190.5 ºF)
the
blackbody is already in radiative thermal
equilibrium with a hotter source
of energy That is simply wrong — That might be true if the
blackbody was surrounded by a perfect insulator but is definitely not true for planets in space.