Radiationless de-excitation - how does radiative heating work?

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questing4truth
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You typically hear of radiative heating as exciting an electron to a higher state in an atom or molecule, but heat energy is the excessive vibration of a molecule. How do you reconcile these two models? I've heard of something called radiationless de-excitation whereby the electron passes its energy to the molecule and becomes de-excited. Is this the correct way to think about standard radiative heating?
 
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