Rayleigh Refractometer index of refraction

[n0_3sc]

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.

 

[n0_3sc]

Sorry, this thread has been moved to Homework & Coursework Questions.

 

[astrokreng]

I would first suggest looking at the derivation of the formula for the refractive index in a Rayleigh Refractometer. This will provide a better understanding of where the gamma term comes from and how it relates to the other variables in the formula.

One possible approach to proving gamma could be through experimental data. By varying the different parameters (fringe number, wavelength, ambient temperature, etc.) and measuring the resulting refractive index, you can create a set of data points that can be used to determine the value of gamma. This data can then be compared to the theoretical values predicted by the formula to confirm its validity.

Another option could be to consult with experts in the field or conduct a literature review to see if there are any studies or experiments that have already determined the value of gamma. This can provide additional evidence and support for the validity of the formula.

In any case, it is important to thoroughly understand the principles behind the Rayleigh Refractometer and the derivation of the formula before attempting to prove any of its components. This will ensure a more accurate and reliable result.