OMG you still don't understand the SB equation. The area A is always the area of the emitter. It is commonly set to 1 m² to express the power emitted per unit area. You should know that already. The surround can be, for example, the area of a small room or a huge room, or the atmosphere. We went through this many times before, and you still don't ;understand it.
Oh...I understand perfectly...you, however, lacking any real understanding of the basics seem to be hopelessly lost. I pointed out that the SB law deals with radiators in terms of area...and what do you do? Tell me about square meters as if I didn't just point that very fact out to you....without ever even once wondering why I might have pointed it out to you.
Lets keep it simple and look at a single cubic meter of atmosphere. How many square meters of air reside within that cubic meter of air. The SB law, after all only works if you can assign an area to the emitter in question. Again...how many square meters of air reside within that cubic meter?
In the example, the SB law is applied to a "slab". It's artificial. You still don't understand your own example!
I understand...which is why I brought it up in the first place....precisely how many 1 square meter "slabs" of air are in a 1 cubic meter block of air?
And then, climate science assumes that the slab is emitting radiation as if it were an ideal black body radiating into a vacuum even though it is not a black body, nor is it even a gray body.. How much of that "slab" that is assumed to be radiating as if it were an ideal black body is actually radiating? Only a small part of any parcel of air you care to pick out is actually radiating...as only a small bit of it is composed of radiative gasses capable of radiating..
And of that very small percentage of that theoretical "slab" of air that is supposedly radiating as if it were an ideal black body, how much of it is actually even getting the opportunity to radiate due to the fact that convection and conduction as a result of energy being exchanged via collisions with other molecules is completely dominating the energy exchange within the slab?
And you complain about tedium. Your problem isn't tedium it's defective memory and a lack of comprehension of physics. We have to go through these things time and again and you never get it.
The tedium of talking to you, in addition to having to restate practically everything I say due to your "interpretation being wrong" is this very thing...having to explain the basics to you in such fine detail it is as if I am talking to a 5 year old... You have to have your hand held through every step.
When you look at this equation:
Because of your belief, you see an equation that rationally and accurately describes the basis of how the temperature of the atmosphere is derived.
When I look at that equation, I see:
- An equation that counts the infrared radiation twice in computing a temperature even though the infrared radiation originates from a single source
- An equation that assumes that the emitter is radiating as if it were a perfect black body even though it isn't a black body, or even a gray body
- An equation that views the emitter in terms of area (A) although in this case, you can't calculate the area of the emitter since it has no area
- An equation that assumes that the emitter is emitting across the entirety of its non existent area even though only 0.04% of the emitter is even capable of emitting meaning that 0.004% of the area of the emitter is actually capable of emitting
- An equation that assumes that the emitter is emitting across the entirety of its non existent area even though almost none of the 0.0004% of its non existent area that is even capable of emitting is actually emitting because conduction and convection completely dominate the energy movement through its non existent area.
And then it isn't enough to clue you in regarding the problems with the equation, I have to hold your hand and walk you through each of the problems as if you were a child...and then after all that, because your belief is so ingrained, and you are so blinded by it, you will still ignore all the problems with the equation that make it nothing more than a wild assed, wrong approach to a guess about why the atmosphere is the temperature that it is.