Plot of brightness of distortion divided by y.

The curves intersect at the zeros of the coefficients of T2 which are x=3.32956. and x=8.0202

And we can do a figure to compare with Figure 1 of Raphaeli (1995) *Ap.J.* **445** 33-36 which gives nearly identical results.

Now we combine 3 plots showing the (brightness) spectrum of the distortion at 5, 10, 15 keV, for a better comparison with Rephaeli.

The 1st is for the classical S-Z distortion

The 2nd is the "scanned in" curves of Rephaeli,

and the 3rd is our 2nd order approximation

Combining them all and making it look nice (NB we could have put a &Dgr;n label on the y-axis, but when you save to PostScript, the greek letters are changed to roman!)

and write it out to disk

For conversion from "x" to frequency in GHz

Or in black and white: the classical result

Rephaeli's result

and the 3rd is our 2nd order approximation

Combining them all

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