Rayleigh Refractometer index of refraction

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n0_3sc
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When constructing a Rayleigh Refractometer the formula for the refractive index of a gas at pressure P and temperature T is:

mu(P,T) - 1 = (gamma) P/T
where,
mu(P,T) = refractive index as a function of pressure and temperature
and
gamma = [n(lambda)Ta]/[L(deltaP)]
where,
n = fringe number
lambda = wavelength
Ta = Ambient room Temperature
L = length of tube containing the gas
and
deltaP = change in pressure causing the movement in fringes.

My question is how do you prove gamma? - I cannot find this in any physics/optics book.

Any suggestions on where to start or look will be good.
 
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