Visualizing the "Greenhouse Effect" – Molecules and Photons

Guest Post by Ira Glickstein

This series began with a mechanical analogy for the Atmospheric “Greenhouse Effect” and progressed a bit more deeply into Atmospheric Windows and Emission Spectra. In this posting, we consider the interaction between air molecules, including Nitrogen (N2), Oxygen (O2), Water Vapor (H2O) and Carbon Dioxide (CO2), with Photons of various wavelengths. This may help us visualize how energy, in the form of Photons radiated by the Sun and the Surface of the Earth, is absorbed and re-emited by Atmospheric molecules. DESCRIPTION OF THE GRAPHIC

The animated graphic has eight frames, as indicated by the counter in the lower right corner. Molecules are symbolized by letter pairs or triplets and Photons by ovals and arrows. The view is of a small portion of the cloud-free Atmosphere. (Thanks to WUWT commenter davidmhoffer for some of the ideas incorporated in this graphic.)

  1. During the daytime, Solar energy enters the Atmosphere in the form of Photons at wavelengths from about 0.1μ (micron – millionth of a meter) to 4μ, which is called “shortwave” radiation and is represented as ~1/2μ and symbolized as orange ovals. Most of this energy gets a free pass through the cloud-free Atmosphere. It continues down to the Surface of the Earth where some is reflected back by light areas (not shown in the animation) and where most is absorbed and warms the Surface.
  2. Since Earth’s temperature is well above absolute zero, both day and night, the Surface radiates Photons in all directions with the energy distributed approximately according to a “blackbody” at a given temperature. This energy is in the form of Photons at wavelengths from about 4μ to 50μ, which is called “longwave” radiation and is represented as ~7μ, ~10μ, and ~15μ and symbolized as violet, light blue, and purple ovals, respectively. The primary “greenhouse” gases (GHG) are Water Vapor (H2O) and Carbon Dioxide (CO2). The ~7μ Photon is absorbed by an H2O molecule because Water Vapor has an absorption peak in that region, the ~10μ Photon gets a free pass because neither H2O nor CO2 absorb strongly in that region, and one of the 15μ Photons gets absorbed by an H2O molecule while the other gets absorbed by a CO2 molecule because these gases have absorption peaks in that region.
  3. The absorbed Photons raise the energy level of their respective molecules (symbolized by red outlines).
  4. The energized molecules re-emit the Photons in random directions, some upwards, some downwards, and some sideways. Some of the re-emitted Photons make their way out to Space and their energy is lost there, others back down to the Surface where their energy is absorbed, further heating the Earth, and others travel through the Atmosphere for a random distance until they encounter another GHG molecule.
  5. This frame and the next two illustrate another way Photons are emitted, namely due to collisions between energized GHG molecules and other air molecules. As in frame (2) the Surface radiates Photons in all directions and various wavelengths.
  6. The Photons cause the GHG molecules to become energized and they speed up and collide with other gas molecules, energizing them. NOTE: In a gas, the molecules are in constant motion, moving in random directions at different speeds, colliding and bouncing off one another, etc. Indeed the “temperature” of a gas is something like the average speed of the molecules. In this animation, the gas molecules are fixed in position because it would be too confusing if they were all shown moving and because the speed of the Photons is so much greater than the speed of the molecules that they hardly move in the time indicated.
  7. The energized air molecules emit radiation at various wavelengths and in random directions, some upwards, some downwards, and some sideways. Some of the re-emitted Photons make their way out to Space and their energy is lost there, others back down to the Surface where their energy is absorbed, further heating the Earth, and others travel through the Atmosphere for a random distance until they encounter another GHG molecule.
  8. Having emitted the energy, the molecules cool down.

DISCUSSION

As in the other postings in this series, only radiation effects are considered because they are the key to understanding the Atmospheric “Greenhouse Effect”. I recognize that other effects are as important, and perhaps more so, in the overall heat balance of the Earth. These include clouds which reflect much of the Sun’s radiation back out to Space, and which, due to negative feedback, counteract Global Warming. Other effects include convection (wind, thunderstorms, …), precipitation (rain, snow) and conduction that are responsible for transferring energy from the Surface to the Atmosphere. It is also important to note that the Atmospheric “Greenhouse Effect” and a physical greenhouse are similar in that they both limit the rate of thermal energy flowing out of the system, but the mechanisms by which heat is retained are different. A greenhouse works primarily by preventing absorbed heat from leaving the structure through convection, i.e. sensible heat transport. The greenhouse effect heats the earth because greenhouse gases absorb outgoing radiative energy and re-emit some of it back towards earth.

That said, how does this visualization help us understand the issue of “CO2 sensitivity” which is the additional warming of the Earth Surface due to an increase in atmospheric CO2? Well, given a greater density of CO2 (and H2O) molecules in the air, there is a greater chance that a given photon will get absorbed. Stated differently, a given photon will travel a shorter distance, on average, before being absorbed by a GHG molecule and be re-emitted in a random direction, including downwards towards the Surface. That will result in more energy being recycled back to the Surface, increasing average temperatures a bit.

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steveta_uk
March 29, 2011 3:15 am

Stephen Richards (2:05)
the article in Climate Realists makes exactly the same mistakes as all those that think back-radiation somehow violates 2nd law thermodynamics. The last-but-one paragraph sums up his errors quite nicely – it’s basically completely wrong.
Oddly, he describes a thought experiment with a black body and mirrors that he could easily try out, and which would show him he is wrong, Clearly he knows he is right, so doesn’t bother to actually test it.
The other indicator that he is wrong is the massive introduction that is just waffle, before reaching any solid science. Why bother with all that if you are right?

Stephen Wilde
March 29, 2011 3:45 am

“where their energy is absorbed, further heating the Earth”
That phrase is the crux of the difficulty that some have with the greenhouse effect.
There is no ‘further’ heating.
What happens is that the downward longwave radiation reduces the net upward flow by partially offsetting it until the temperature rises and a new equilibrium is reached.
There is always a net energy flow from a warmer body to a cooler body in accordance with the Laws of Thermodynamics but in fact both bodies still radiate towards each other.
A cooler body doesn’t stop radiating just because it is in the presence of a warmer body.
It is the net rate of energy transfer between the two that changes with no need for the cooler body to effect any direct warming of the warmer body.
The suggestions that the greenhouse effect somehow offends the Laws of Thermodynamics is a non starter and a hindrance to scepticism of the theory of AGW.
Ira doesn’t seem to make that mistake but he has used a form of words that perpetuates the misunderstanding.

Michael Larkin
March 29, 2011 4:12 am

Ira,
Thanks for this, but for me the animation is way too fast to follow. Any chance you could slow it down?

Joe Lalonde
March 29, 2011 4:30 am

Ira,
Good presentation!!!
You’ve only touched partially on the tip of the iceberg of how complex this planets climate system is.
Thermodynamics is garbage in being too simple and too broad in coverage so that simple minded scientists can grasp some hope of understanding.
This planet is a globe and not a tube, that rotates and has gravity. From the equator to the poles, there are different factors going on besides the introduction of solar radiation, CO2, gases, water vapor, etc. Cold compression and superheated compression has very different areas in complexity as well as storing energy on a planet that is thrown through space at 300km/sec. We have yet to understand infused energy into the planet and solar system at creation and what that accomplishes in storing energy for slow release.
Our current problem is that science can only grasp one area at a time and fails in understanding a multi-understanding of many areas into a super complex system.
Following temperatures in a 150 year time period is ridiculous in the 4.5 billion year time frame and for what? To know what clothes to wear?

Ian W
March 29, 2011 4:31 am

Ira,
I know you have the caveat paragraph “As in the other postings in this series, only radiation effects are considered because they are the key to understanding the Atmospheric “Greenhouse Effect”……
But in comparison to the power of the hydrologic cycle your ‘radiation only’ approach is not unlike saying you are only looking at the retardation effects on the locomotive of hitting insects.
The AGW CO2 warms the world hypothesis depends on the hydrologic cycle. It only works if they can show the ‘water vapor feedback’ which all the GCMs show as a tropospheric hotspot that in the real world does not exist therefore all the models are falsified. You cannot disregard the locomotive of the hydrologic cycle whose effects nobody has been able to quantify but is accepted as the main transport of heat from the surface to the tropopause and the ‘iris’ that increases albedo reducing incoming energy and only worry about the insect collisions of outgoing IR with CO2 in three small radiation bands.

bananabender
March 29, 2011 4:38 am

says:
March 29, 2011 at 1:57 am
bananabender. Go ahead, try to explain the temperature of the Earth using only the ideal gas law! It can’t be done, you see, if you actually start to think about what you do.

Try this:
Timothy Casey B.Sc.(Hons.)
http://greenhouse.geologist-1011.net/
The temperature of the earth’s surface is often explained using the “Greenhouse Effect”. However, having refuted the “Greenhouse Effect”, we may wonder if it was necessary in the first place. The earth orbits the sun in the vacuum of space. There is no aether as Fourier, Tyndall and Arrhenius believed. Moreover, there is no heat capacity or thermal conductivity in space. The only way for heat to escape the planet is by emission to space. That makes the temperature of the absorbing mass of the earth a question of radiative heat transfer. Hereafter, I will refer to the that portion of the earth’s mass which absorbs solar radiation as the “solarsphere” because the atmosphere does not include the surface layer warmed by the sun on a day to day basis and there is no other term to encompass both. The method of calculation is to treat the solarsphere as an absorbing body subject to incident radiation from the sun.
Given the solar constant of 1368 Wm-2 (Fröhlich & Brusa, 1981) and the fact that the cross-sectional area of solar radiation incident upon the earth is roughly one quarter of the earth’s surface area, it is unsurprising to observe that authors such as Kiehl & Trenberth (1997) arrive at 342 Wm-2 as the mean quantity of solar radiation that falls on the entire surface of the earth. Using this, we may calculate the expected geographical and altitudinal mean temperature of the earth’s solarsphere.
Wm = σT4
T4 = Wm/σ
T = {Wm/σ}0.25
Given Wm = 342:
T = {342/0.000000056704}0.25 = 278.7ºK = 5.5ºC
This figure, is an average or mean temperature for all times, latitudes, and altitudes of the the earth’s solarsphere. Just as the balance point or centre of gravity is found at the centre of mass, this average temperature may be found at the centre of heat capacity. In materials of similar heat capacity, this can be found near the centre of mass. Thus, in order to determine how well our 5.5ºC result -calculated above- corresponds to observed reality, we must first determine the average observed temperature at the barometric median in the part of the earth penetrated by solar energy.
From the diagrams supplied by Vallier-Talbot (2007, pp. 25-26), we may roughly determine the centre of mass for a one square metre column extending from two metres below the surface to 50 kilometres above the surface. Soils and clays amount to roughly 2 tons per cubic metre, with the atmospheric column having to weigh 10 tons in order to yield a mean barometric pressure of roughly 1000 hectopascals at the surface. The total column weighs 14 tons with the centre of gravity corresponding to the barometric median at 700 hPa. Referring once again to Vallier-Talbot (2007, p. 26) we may determine that on average, this pressure corresponds to an elevation of roughly a mile or 1600m above the surface. Given the observed average atmospheric thermal gradient of -7ºC with every 1000m of elevation above the surface (Vallier-Talbot, 2007, p. 25), we may calculate the average absorbing mass temperature as it occurs at the altitude of the barometric mean for our absorbing column. No doubt you’ve worked out that the temperature drop over a tropospheric ascent is 11ºC per mile, and we all know that the average surface temperature is 15ºC (Arrhenius, 1896, p. 239; Burroughs, 2007, p. 124). Notwithstanding 100 years of apparently constant mean temperature from Arrhenius to Burroughs, we may determine that the observed temperature at the altitude corresponding to the centre of absorbing mass is 4ºC or 277ºK. This, via the reasoning above, extends to an observed average absorbing mass temperature for planet earth of 4ºC or 277ºK. This is slightly cooler than the mean absorbing mass temperature calculated above from the solar constant (278.7ºK, 5.5ºC) even if we do allow for 0.5º warming over the last century. However, if we were to consider the impact of convective cooling, I think we can agree that the temperature we derive from the Stefan-Boltzmann equation is well within the tolerance we must allow for such tests.
Adding the tropospheric thermal gradient of 11ºC per mile we got from Vallier-Talbot (2007) above, our temperature (278.7ºK, 5.5ºC), calculated from the Stefan-Boltzmann Equation using the Solar Constant, yields a calculated surface temperature of around 16.5ºC. The fact that this is warmer than the observed mean surface temperatures of Arrhenius and Burroughs (15ºC) leaves no room for such dubious free energy mechanisms as Arrhenius’ “Greenhouse Effect”. The surface temperature of the earth can be much more simply explained without resorting to such complex and unverifiable entities as radiative amplification and power recycling via backradiation of the “Greenhouse Effect”. Absorptivity of any of the parts can vary, but that only alters the overall emissivity, which in turn leaves unchanged, the gross power flowing though the system. Once equilibrium is reached it is only the power flowing through a thermally isolated system that controls and maintains mean temperature. This is because power is required to offset the amount of heat that is lost spontaneously and continuously due to emission of radiation.
Our calculation of mean surface temperature without the “Greenhouse Effect” above (16.5±0.5ºC corresponding to 16-17ºC) is made without considering the effect of carbon dioxide. According to Arrhenius (1906a, translated by Gerlich & Tscheuschner, 2009, pp. 56-57) the observed temperature should be 20.9ºC higher than that yielded by a calculation such as this, owing to the carbon dioxide in the atmosphere. The observed surface temperature of 15ºC (Arrhenius, 1896; Burroughs, 2007) is actually 1-2ºC lower than the calculated mean surface temperature of 16-17ºC. The lower atmosphere will always be warmer than the upper atmosphere because higher material density in the lower atmosphere dictates a much higher thermal conductivity, absorption and density of heat. In contact with an opaque surface warmed by the bulk of the heat absorbed from the sun, it is not difficult to explain why the surface is so much warmer than the altitude corresponding to the centre of mass in the solarsphere. Moreover, the Ideal Gas Law (PV = nRT) dictates that the temperature of a gas containing a given amount of heat invariably increases with pressure. As the highest atmospheric pressure is at the surface, it makes sense that the higher temperature is there, especially if obstruction to radiative outflow decreases with altitude.
Turning our attention to the example of Langley’s greenhouse experiment on Pike’s Peak in Colorado (mentioned by Arrhenius, 1906b), we may be tempted to ask how it is that a greenhouse can reach such high temperatures. Qualitatively, we may attribute the difference between the 15ºC mean surface temperature and the 113ºC observed in Langley’s greenhouse to the fact that noon-time radiation at the surface is three to four times as intense as the mean radiation over the whole of the earth’s surface. Repeating our calculation method, this time for the midday conditions of a greenhouse:
T = {Wm/σ}0.25
Given Wm = 1368:
T = {1368/0.000000056704}0.25 = 394.1ºK = 121.0ºC
As you can see, our application of the Stefan-Boltzmann Equation predicts that incident Solar radiation at 1368 Wm-2 should produce a maximum daytime temperature of 394.1ºK or 121.0ºC in a greenhouse fully protected from heat losses to conduction. Although Langley’s temperature is lower by eight degrees, it is near enough and, allowing for conductive heat loss, remains a testament to the insulating effectiveness of double glazing.
What is demonstrated in the above examples, is the fact that surface temperature and the temperature in a greenhouse can be explained without resorting to the extraneous entity called the “Greenhouse Effect”. This is significant in light of Ockham’s Razor, which states:
Entia non sunt multiplicanda praeter necessitatem.
This reads in English as:
Entities are not to be multiplied beyond necessity.
Although the terminology may seem unfamiliar in light of 20th century usage, if we look at the words for what they mean, we can nonetheless understand this statement. In short, William of Ockham is urging us not to hypothesise beyond what is necessary to explain the material evidence we possess. A hypothesis that does go beyond the support of material evidence violates this principle in that the evidence is already explained by a simpler theory.

Richard111
March 29, 2011 4:45 am

I agree with John Kehr says:
March 29, 2011 at 12:11 am
What he is describing is the Maxwell-Boltzmann kinnetic energy effect in the atmosphere.

Richard111
March 29, 2011 4:53 am

Hmm… from my second reading I note that no mention is made of energy absorbed being passed directly to nearby air molecules (collisions) and warming those before the absorbing molecule can fire off a photon and cool itself that way.

John Brookes
March 29, 2011 5:00 am

[taunting is not an attractive color on you. go ahead and reply, some other moderator will not know why I deleted your little attempt at a humorous humorless polemic. ~ ctm]

commieBob
March 29, 2011 5:04 am

A quibble:
Ira says:

The energized air molecules emit radiation at various wavelengths

I say:

The energized air molecules emit radiation at various longer wavelengths

The vast majority of downward radiation coming from the atmosphere is longer wavelength than 13 um. The area under the curve around 10 um looks like about 5 percent of the area under the curve greater than 13 um. In other words, the vast majority of the energy coming back at us is explainable as blackbody radiation. Note that the graphs I am attempting to display here are for arctic data.
If I interpret the graphs correctly, even if CO2 absorbed all the energy around 10 um, and that energy was immediately passed to other molecules to re-radiate around 15 um, the energy absorbed by the CO2 wouldn’t account for much of the back radiation.

Spartacusisfree
March 29, 2011 5:16 am

This ‘GHG physics’ is bunkum. Let’s take the 15 micron band. 95% is absorbed in 1 m air. That’s why mirages exist – the air above a hot surface is warmed by IR absorption.
OK, the air does re-radiate downwards but a lot of the hot air is convected upwards thus ensuring most of that original IR radiation from the ground never makes it back.
What GHGs do is to increase the adiabatic lapse rate a bit, also raise the tropopause. And because more latent heat means more efficient precipitation, the upper atmosphere dries and it’s easier for the heat to radiate to space.
So, GHG warming is controlled to a near constant level independent of [CO2]. it’s about time that ‘climate scientists’ and politicians realised it.

Thomas
March 29, 2011 5:39 am

bananabender. That calculation starts off with the simple mistake of forgetting to include albedo, that Earth reflect some of the sunlight, and thus gets a too high non-greenhouse temperature. (This temperature is measurable as the blackbody temperature of Earth as seen from space and is -19 C)
Then the author come up with an altitude of 1600 meters that he for some reason thinks is important. Multiplying this arbitrary altitude with the temperature gradient and adding the (faulty) base temperature does give the right answer, but only because he picks that altitude to get the right answer.
Now take a look at what the real atmosphere looks like:
http://apollo.lsc.vsc.edu/classes/met130/notes/chapter1/vert_temp_all.html
Still think you can explain it?

March 29, 2011 5:40 am

…rubbish !

Bob Shapiro
March 29, 2011 5:46 am

John Kehr says:
March 29, 2011 at 12:11 am
“I like that animation. ”
I find Dr. Glickstein’s animations (this isn’t his first) to be annoyingly distracting. Since it interfered with my focusing on the text, I decided to skip the essay.
Did I miss an interesting and important post? Maybe. But it just wasn’t worth my effort.

Joe Lalonde
March 29, 2011 5:48 am

Ira,
There are a few reasons that I do not trust “averaged out global mathematical calculations”.
One time frames. Our current calculations fail due to the calculation do not include adjusting for planetary motion, slowdown or unknown surprising factors(such as solar flares, massive eruptions, salt changes, ocean current changes, impacts, etc.).
Next, planetary positioning. Since the suns diameter at it’s equator is the greatest mass and the poles are much smaller to the drifting of the planet between the two.
Thirdly is planetary shape of having a huge diameter equator and smaller diameter poles on a rotating planet.
So, where on this planet or atmosphere does make a difference to any other place taking a measurement.

Thomas
March 29, 2011 5:54 am

Spartacusisfree, the amount of energy the Earth has to radiate to remain in thermal equilibrium is constant. Since we have GHG:s in the atmosphere only a small part of the radiation emitted into space comes from the surface, the rest comes from the atmosphere, and we can assign an “effective altitude” from which the average radiation is emitted. If you add more GHG:s radiation will have a harder time escaping and thus this effective altitude will increase, but since the amount of energy has to be constant its temperature has to remain the same. Now take the lapse rate into account. If the layer of constant temperature rises, the temperature at the surface has to increase as the lapse rate multiplied by the increase in altitude. If more GHG:s raises the tropause by 100 meters the temperature at the surface rises 0.7 degrees as a first approximation.

Harold Pierce Jr
March 29, 2011 5:59 am

Ira
Carbon dioxide is a linear molecule. You show it with a bent structure like H2O
Fix that mistake. It makes you look stupid.
When a CO2 or H2O molecules absorbs an IR photon, its linear velocity does not increase. The absorbed photon causes an increase in the vibrational frequency of a bond or combination of bonds (e.g, bending). Fix that mistake.
A vibrationally- excited CO2 or H2O molecule in the troposphere will not re-emit the absorbed photon but will undergo immediate collision deactivation with N2, O2, Ar or H2O. This causes an increase in the speed of these, i.e., they become slightly warmer.
The collision frequency at 1 atm and room temp is about 100 billion collision per sec. Incidently, this is why nat gas in air explodes with great violence, i.e., the reaction goes at the collision frequency.
FYI: CO2 is a weak absorber of IR because it does not have a permanent electric dipole like H2O.

March 29, 2011 6:02 am

All of this is totally unnecessary. All we need is one valid graph of long-term temperature vs CO2 concentration, showing the lack of correlation. And we already have plenty of valid graphs like that.

Jose Suro
March 29, 2011 6:10 am

The greenhouse effect hypothesis, and specifically the warming caused by increasing CO2 in the atmosphere goes back to 1896, when Svante Arrhenius wrote an article and then a book that postulated the theory. All kinds of people ran with it afterwards although the theory was later found to be based on grossly erroneous spectra. These gross spectroscopy errors can be seen as conclusively proven wrong in MODTRAN(R) simulations. For a list of references to Arrhenius, including some by people that still believe it to be true look here:
http://www.lycos.com/info/svante-arrhenius.html
For the MODTRAN(R) simulations disproving the theory look here:
http://members.casema.nl/errenwijlens/co2/arrhrev.htm
Although I disagree with his conclusions (he is a warmist), Spencer Weart wrote a pretty thorough history of how this whole AGW thing evolved over the last century, ending with Charles (Dave) Keeling, before going into the modern research and model predictions that are so questionable.
Regardless of his conclusions, I give Weart credit for being quite thorough and his book is worth a read because it encapsulates all the early prominent research that went into building AGW theory as we know it in it’s present form. This book is also a great place to look at all this greenhouse research in one place and to see where the all the holes and leaps of faith are. A pretty complete condensation of the book can be found here:
http://www.aip.org/history/climate/co2.htm
Sadly, and contrary to the whole point of the book, which should have been citations and discussions of the history of AGW research, Weart himself takes the ultimate leap of faith and joins the warmist camp, tainting a great read with his own conclusions. You can see that in his personal notes:
http://www.aip.org/history/climate/SWnote.htm
Best,
Jose

MikeEE
March 29, 2011 6:11 am

rusureuwant2know
“I thought Al Gore got his graph backwards and the increase of CO2 followed warming – why are we still working with the assumption it creates it???”
Greenhouse gasses definitely do warm the planet, there is no question of that. And, increasing the amount of CO2 in the atmosphere will increase the amount of heat retained here on Earth. The real question is, how much will the change be as a result of a doubling of the CO2? First order effects seem to point to a change of 0.8 to 1.5 degrees. All of the other warming the alarmists are trumpeting is from second order effects that are definitely not known. Will the H2O in the atmosphere increase significantly, thereby significantly warming the planet? or perhaps there is negative feedback and the H2O is reduced and the planet cools. I don’t know.
As to your other point about the CO2 following temperature, there is definitely evidence of that too. Warmer oceans can’t hold as much CO2 so more of it ends up in the atmosphere. It’s a complicated system.
Stephen Wilde
Although there clearly is a greenhouse effect it is infinitesimal compared to the energy retaining effect of the oceans.
The greenhouse effect and the energy retaining effect of the oceans are different things. The atmosphere and the ocean may retain heat, but the atmospheric heat retention is infinitesimal compared to the heat retention of the oceans. The greenhouse effect changes the amount of heat that flows out of the system.
Perhaps you could think of the heat retention of the ocean as a bucket of water. Then, you have a stream of water flowing into the bucket and a hole in the bottom of the bucket that lets an equal amount of water flow out. The system is in equilibrium because the same amount of water is going out as is coming in, the water level remains constant. When you change the greenhouse gases you change the amount of water flowing out so the water level will raise of lower as a result.
MikeEE

Alan McIntire
March 29, 2011 6:12 am

To be thorough, there’s also an “anti-greenhouse” effect. See
http://en.wikipedia.org/wiki/Anti-greenhouse_effect
The atmosphere of Titan is transluctent to some wavelengths, and translucent to part of the surface radiation.
This results in a surface cooler than a surface with NO atmosphere
sun —–> 4 watts 2 watts 2 watts Titan surface 2 watts4 2 watts from atmosphere<——-
2 watts from surface 2 watts from atmosphere
4 watts 2 watts Earth
The earth heats up, reradiating the 2 watts to the atmosphere, which will also heat up. The final
balanc will be
Sun —> 4 watts to atmosphere 4 watts to earth from atmosphere
–>4 watts from sun, 4 watts from earth4 watts from atmosphere to earth
<—4 watts to earth from atmosphere
So the net effect of the surface warming from an infrared absorbing atmosphere is the same as the effect of NO atmosphere.
See Trenbeth's figures here:
http://stephenschneider.stanford.edu/Cl … lance.html
Note that the zero greenhouse effect would apply for those 67 watts absorbed directly by the atmosphere.
Caveats: Working out the temperature drop in a purely radiation
cooled atmosphere, it can be shown that the temperature drop would be
greater than the
moist pseudoadiabetic lapse rate, making a purely radiation
controlled atmosphere unstable. The adiabetic lapse
rate places an upper limit on drop in temperature with height.

March 29, 2011 6:18 am

Nice animation and explanation. But I think it is giving ony a passing thought to a very important component countering any heating effect of more CO2 — convection. As noted, a warmer molecule will be moving faster and hence have a faster Mean Free Velocity and it will rise. That warmer air will cool as it rises and condenses water pulled up with that rising mass, losing even more energy. Hence transporting ground air heat to the cooler higher atmosphere.
Also missing from this, is that this affect in the animation is only when the sun it at noon in the location where the sun is directly over head. Daytime everywhere else gets lower energy from the sun because of the angle. Nighttime, more of that stored daytime heat is lost into space. Also, the warmed portions of the planet intermix that warm air to the colder regions of the planet (causing storms which disapates even more heat).
In other words, the atmospheric system has a buffering affect and is why the planet have never “cooked” when CO2 was 20 times today.
The planet is not suseptable to over heating, it’s suseptable to significant cooling, which is bad.

Spartacusisfree
March 29, 2011 6:23 am

Reply to Thomas: I agree that as the adiabatic lapse rate and the tropopause rise, surface temperature will increase. However, the reduction of [H2O] in the upper atmosphere will allow easier radiative heat transport to space. The interaction of this radiative heat transport with the ALR is actually quite interesting.
The evidence of lower [H2O] is fairly conclusive. So, I expect GHG warming from CO2 to be very low.

MikeEE
March 29, 2011 6:23 am

Igl
What a lot of nonsense. Here is how it really works…
Don’t believe everything you read. He says it’s not reradiation because “When the atmosphere emits radiation, it is not the same radiation”.
What is ‘the same radiation’? that’s just nonsense. Any material (CO2 for example) that is not at absolute zero emits radiation to stay at equilibrium. If you raise the amount of energy that you put into that material you will raise it’s temperature and the amount of energy that it radiates. Whether it is the same of different energy is irrelevant.
MikeEE

Richard M
March 29, 2011 6:25 am

Although this article mentions CO2 absorbing energy through collisions and radiating that energy (half to space) it does not mention that this is a cooling effect. And, when you add more CO2 you increase this cooling effect. So, what is the trade-off here. How much warming vs. how much cooling. I’ve never seen this tackled anywhere.