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Preamble explanation for other readers – When I did my May presentation, for a few weeks I checked this forum daily.  With no questions, I’d stopped checking it after a few weeks and forgot to go back until the fall.  Then I discovered Scott’s 3 posts and wrote him an email apology and we started corresponding ever since by email.  I’m answering his questions here for the sake of future visitors who might want the explanation and the answers Scott and I discussed outside this forum.  I appreciate Scotts questions, his donation he made back in May, and other comments he has made have been helpful in refocusing the website.

Answer - You are 100% correct for the absorbed photons.  This was an error of omission on my part in the presentation. From my early days of R&D starting in 2022 I was wondering about the ability of an excited GHG to have a net transfer of kinetic energy during a collision or experience a collision and subsequently launch a photon.  Some readings suggested yes, others disputed it, and then there was curves suggesting at lower temperatures it could be "frozen out" but I never found any calculations.  Then I saw Dr. Markus Ott's presentation in the spring of 2023 I believe and he did those calculations.  I plan to acknowledge his work and correct my deficiency from my May presentation.  As you point out, it isn't involved the the calculations needed for the escape of photons from the Earth System but it is important to acknowledge the two mechanisms for a better understanding of what is going on.  Thanks again for pointing it out and for your fall interactions and support donation this spring.  All the best, Rodney
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Preamble explanation for other readers – When I did my May presentation, for a few weeks I checked this forum daily.  With no questions, I’d stopped checking it after a few weeks and forgot to go back until the fall.  Then I discovered Scott’s 3 posts and wrote him an email apology and we started corresponding ever since by email.  I’m answering his questions here for the sake of future visitors who might want the explanation and the answers Scott and I discussed outside this forum.  I appreciate Scotts questions, his donation he made back in May, and other comments he has made have been helpful in refocusing the website.

Answer - In the website simplifications some diagrams were eliminated but the statement still stands and yours is not incorrect either.  But your last sentence, if I'm reading it correctly, goes astray a bit.  Let me state the how the calculator treats the photons here, even though I think the Learn Center does a cleaner job in the website overhaul than at the time of my May presentation:
 
1. The blackbody sources for launching photons to space are Earth's surface and cloud tops.
2. What gets absorbed going up through the atmosphere from those sources is captured by the atmosphere and circulates around
3. What gets through unabsorbed are photons making it through the atmospheric window (100% efficient)
4. What was absorbed in 2 only is released by GHGs mostly fairly high up where the atmosphere is thin and they are excited by collisions (thermally excited emissions) and absorbed photons
5. For the last GHG to launch a photon, about 50% make it to outer space and the other 50% are retained in the Earth system
6. It is that step 5 where the GHG heating effect is realized and absolute temperature is calculated from the greenhouse effect across all GHGs

The beauty of this is GHG Lab, unlike other models and approaches succeeds in being able to calculate the heating effect of all GHGs, Input A is the level say at 2023, and Input B can be zero or any other level. That is why I struggle with your closing sentence.  From our email discussions awhile back and the improved Learn Center page, I believe this is clear for you but I'll leave the thread open for others that might have questions and probably close it after my next presentation where I'll be explaining it again. 

Thanks for all your correspondence with me this fall Scott and your support too this spring - very kind of you.
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Preamble explanation for other readers – When I did my May presentation, for a few weeks I checked this forum daily.  With no questions, I’d stopped checking it after a few weeks and forgot to go back until the fall.  Then I discovered Scott’s 3 posts and wrote him an email apology and we started corresponding ever since by email.  I’m answering his questions here for the sake of future visitors who might want the explanation and the answers Scott and I discussed outside this forum.  I appreciate Scotts questions, his donation he made back in May, and other comments he has made have been helpful in refocusing the website.

Answer - If you remove all the GHGs except CO2, you will find that the detailed HITRAN approach does give you similar numbers as the log approximation when you look at the radiative forcing field W/m^2.  They support each other.  Where the log function breaks down is when you go multiples higher or lower in concentration change.  But this is already known and stated by those using the log function. Thus GHG Lab doesn't have that limitation. For instance, going to zero for Input B, which is necessary for computing the Earth's heating calculation from GHG when say Input A is at 2023 levels for all GHGs and input B is at zero for all GHGs obviously would never work for a log approximation.  You are right that CO2 absorbs close to the surface but that is irrelevant in the Earth System model where computing the greenhouse effect gives you the temperature change. The LEARN center has been overhauled with a better explanation and I plan to explain it again in a presentation soon into the New Year. Thanks for all your help Scott.  You are a great supporter.

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I notice that the calculator does not account for the saturation/logarithmic influence of CO2 concentration.
The calculator gives increasing impact for the doubling of CO2 as the concentration increases.
E.g. A=100, B=200 gives 1.49 W/m2
A=200, B=400 gives 1.75 W/m2
A=400, B=800 gives 2.37 W/m2
A=800, B=1600 gives 3.30 W/m2

The current consensus says (incorrectly) that power change should be logarithmic (i.e. the same for each doubling of CO2).

The actual function is actually a logistics function, where CO2 absorbs all available 15um IR and then distributes it through kinetic collisions, leaving nearly all CO2 unsaturated and available to absorb more radiation as it is generated.

This is my calculation on the ability of CO2 to absorb photons.
CO2 Absorbs between 14.2 and 15.8 Micron (550-800cm-1) = 2 micron range
At 20 degrees Celsius, a CO2 molecule has an average kinetic energy of approximately 6.04×10−21 Joules
15 um wave is Energy is 1.3e-20 joule = 8KJ/mol)
15 Micron rad generated from earth surface = 25w/m2=25j/s/m2 x 2micron wide = 50j/s/m2
Photons generated  = 50/1.3E-20=3.8E21 photons/s/m2
Moles of Photons per second/m2  = 3.8E21/6E23=0.0063
Atmospheric Molar density at STP 1 mole per 22.4L =>  1000L/22.4=44.6429 moles/m3
Moles of CO2/m3 at STP => 44 Moles/m3 *0.04% CO2 = 0.0176 Moles of CO2/m3
Ratio of CO2/Photons +> 0.0176 moles CO2/0.0063 photons =2.8 more CO2 per m3

From Happer
 - CO2 has the ability to dissipate radiation through collisions
 - CO2 Time to re-emit IR = 0.2s to 1 s
 - Mean time between collisions 1ns - 1 billion collisions per second
 - Energised CO2 is almost none - 0.000001%

Based on these calculations CO2 will continually absorb nearly all photons within 1m.

Dr Yong Zhong seems to have the best take on this as can be found here https://www.youtube.com/watch?v=y6LUbfrNtdU&list=PLnHF41Qzzvb6QsxSeiF45GQQMwHgbbVNL&index=9 especially around 9mins.



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Functionality overview:  Climate Bell's calculator computes the power of the photons redirected back to (retained by) Earth's system when intercepted by GHGs in the atmosphere as illustrated in the diagram above.

Can I suggest a better explanation is that
"the calculator computes the power of photons absorbed by GHG and retained in the atmosphere as illustrated in the diagram above."

This removes the suggestion that photons and back radiation do any real warming when it is nearly always kinetic collisions that do the warming.
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The GHGs only hold the stored energy from those absorbed photons for a brief period before releasing that energy back in uniformly random directions through photon emissions or redistributing the energy during collisions.  From an energy point of view, it can be thought of as an isotropic "scattering" of the energy

This explanation seems to focus on photon emissions being the major mechanism of GHG distributing their energy when according to William Happer that close to the surface the energy be will distributed through collisions in 99.999% of cases. This is also supported by experiment with the Pirani Gauge if you refer to Tome Nelson's Podcast #98 with Tom Shula.

It seems that photon re-emission is almost zero until you get to the stratosphere.

I know none of this invalidates the spreadsheet calculations, but it might be good to de-emphasise the role that radiation plays in the atmosphere.
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