Rayleigh Refractometer index of refraction

AI Thread Summary
The formula for the refractive index of a gas in a Rayleigh Refractometer is established as mu(P,T) - 1 = (gamma) P/T, where gamma is defined as [n(lambda)Ta]/[L(deltaP)]. The discussion centers on the need to prove the value of gamma, which is not readily found in standard physics or optics textbooks. Participants are seeking guidance on resources or methods to derive or validate this equation. Suggestions for starting points or references to relevant literature are requested. Understanding the derivation of gamma is crucial for accurate measurements in gas refractive index applications.
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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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