Frequency of Zero Distortion

This computes the zero of the distortion


The frequency of  zero distortion in the classical S-Z effect is





while the derivative of the zero frequency wrt temperature (at zero temperature) is



To compute the 2nd derivative would require knowledge of S30.

Here is plotted the variation of the zero frequency as a function of temperature for our level of approximation



Rephaeli  (1995) who has done the full collision integral says the following ratio is close to unity



and says this number should be 3.94





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