If you are testing
for radiative absorption, then the type of gas matters.
Not exact matches
The recent JCAP paper published in Nature Communications introduces a transcendent approach to understanding PEC device performance
for arbitrary material and device quality, using five representative parameters: semiconductor
absorption fraction, external
radiative efficiency, series resistance, shunt resistance and catalytic exchange current density to account
for imperfect light
absorption, charge transport and catalysis.
Therefore,
for the Earth climate system, radiation is the ONLY heat loss mechanism, and therefore
radiative absorption is key.
The effect is a continuum of different
absorption spectra that all have the same band - widenning per doubling and same effects at the center at various stages between no effect and saturation, though they are at different stages in that process
for any given amount of CO2; the
radiative forcing is a weighted average of the effects of each of those
absorption spectra; once the center of the band is saturated
for all of the spectra, the band widenning effect is the same
for each and thus the forcing from the band widenning is the same as it is in the original simplified picture.
But if the optical thickness in that band is sufficiently smaller than in another band (depending on wavelengths), adding some
absorption to the optically - thinner band would tend to result in warming of the colder layers (as there would be less temperature variation over height in
radiative equilbrium
for that band, given the same surface (+ tropospheric) temperatures.
Re my 441 — competing bands — To clarify, the
absorption of each band adds to a warming effect of the surface + troposphere; given those temperatures, there are different equilibrium profiles of the stratosphere (and different
radiative heating and cooling rates in the troposphere, etc.)
for different amounts of
absorption at different wavelengths; the bands with
absorption «pull» on the temperature profile toward their equilibria; disequilibrium at individual bands is balanced over the whole spectrum (with zero net LW cooling, or net LW cooling that balances convective and solar heating).
If,
for instance, CO2 concentrations are doubled, then the
absorption would increase by 4 W / m2, but once the water vapor and clouds react, the
absorption increases by almost 20 W / m2 — demonstrating that (in the GISS climate model, at least) the «feedbacks» are amplifying the effects of the initial
radiative forcing from CO2 alone.
One can
for example treat
radiative systems using classical
absorption, scattering and transmission coefficients.
Vis.: www.garfield.library.upenn.edu/classics1981/A1981LQ21800001.pdf Even more to the point, he goes on to state that [quote] «The regions of validity of the linear, square root, and nonoverlapping approximations were considered in this article...» [endquote] and notes that the summary of the [quote] «various models and approximations
for band
absorption» [endquote] given in that article had apparently been useful in many later studies requiring [quote] «mathematical calculation» [endquote] of the
radiative exchange by infrared bands.
They assume a basis
for all this, the
radiative heat
absorption by CO2 (this is in their founding documents), and produce massive summaries, generally including long term ordinary linear regression in approriately applied to a time series, and then make a statement such as «an increase of.2 deg C / decade».
We need to examine the Gas Laws in some detail to consider how the
radiative absorption capabilities of Greenhouse Gases could be dealt with given that the Gas Laws have no term
for the
radiative capabilities of molecules.
(iii) Our method of calculation
for the overlap of H2O and CO2
absorption bands and our evaluation of the
radiative flux integrals are not identical with theirs.
In any case, yes,
radiative effects should be accounted
for with a first - principles
radiative model, that is to say, insolation +
absorption (I don't think this is hard to do).
For N2, radiative absorption does not occur for the isolated molecule and can only occur because of collisional processes between molecul
For N2,
radiative absorption does not occur
for the isolated molecule and can only occur because of collisional processes between molecul
for the isolated molecule and can only occur because of collisional processes between molecules.
To compute what happens quantitatively, one must solve the equations
for radiative transfer
absorption - line by
absorption - line through the atmosphere.
That is determined by consideration of the
absorption of the atmosphere of terrestrial radiation (and radiation emitted by the atmosphere), which essentially ends up determining at what altitude the temperature has to be determined via
radiative balance between the Earth system (earth + atmosphere) and the sun and space [which
for the earth system with its current albedo is ~ 255 K].
If I were choosing a model to describe with as much quantitative fidelity as possible the greenhouse effect in the earth's atmosphere, then the model I would choose would be a state - of - the - art convective -
radiative transfer code using the actual composition and empirical
absorption / emission lines
for the atmospheric constituents.
whereF is radiant - energy flux at the emitting surface; εis emissivity, set at 1
for a blackbody that absorbs and emits all irradiance reaching its emitting surface (by Kirchhoff's law of
radiative transfer,
absorption and emission are equal and simultaneous), 0
for a whitebody that reflects all irradiance, and (0, 1)
for a graybody that partly absorbs / emits and partly reflects; and σ ≈ 5.67 x 10 — 8 is the Stefan - Boltzmann constant.
1950s: Research on military applications of radar and infrared radiation promotes advances in
radiative transfer theory and measurements = > Radiation math — Studies conducted largely
for military applications give accurate values of infrared
absorption by gases = > CO2 greenhouse — Nuclear physicists and chemists develop Carbon - 14 analysis, useful
for dating ancient climate changes = > Carbon dates,
for detecting carbon from fossil fuels in the atmosphere, and
for measuring the rate of ocean turnover = > CO2 greenhouse — Development of digital computers affects many fields including the calculation of radiation transfer in the atmosphere = > Radiation math, and makes it possible to model weather processes = > Models (GCMs)-- Geological studies of polar wandering help provoke Ewing - Donn model of ice ages = > Simple models — Improvements in infrared instrumentation (mainly
for industrial processes) allow very precise measurements of atmospheric CO2 = > CO2 greenhouse.