Different Temperatures of Ice versus the Refractive Index

[Irremytr]

Homework Statement

I want to make an experiment about the refractive index of ice but this time I want to use different temperatures. (for example with -15 C ice and with -1 C ice) When I tried to search on the internet I couldn't find any specific formula or any article because I guess I couldn't explain what I want to do in a few words. (English is not my mother tongue and there are no articles in my language about this I checked them) Can you help me to find something and also does the refractive index change with the temperature of ice? I guess it will because of the molecular formula changes but not sure :/

Relevant Equations

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I want to make an experiment about the refractive index of ice but this time I want to use different temperatures. (for example with -15 C ice and with -1 C ice) When I tried to search on the internet I couldn't find any specific formula or any article because I guess I couldn't explain what I want to do in a few words. (English is not my mother tongue and there are no articles in my language about this I checked them) Can you help me to find something and also does the refractive index change with the temperature of ice? I guess it will because of the molecular formula changes but not sure :/

 

[haruspex]

Try http://gwest.gats-inc.com/ice_index/Ice_Refractive_Index.html

 

[Irremytr]

Normally I want to find the refractive index of ice but I want to solve it just with temperature. Lorenz-Lorenz equation is this (I hope)=

n is refractive index
d is density
e0 is the electric constant
Na is the avagadro constant
y is the molecular polarizability of one molecule
M is molar massK= [(n^2 - 1) / (n^2 + 2)] x (1/d)

K is also this:

K = (Pm / M) x 10^3

and Pm is this:

Pm = (1/ ( 3 x e0 )) x Na x y

When I know “ y “ I can find other things too because I found a database which tells me the density of ice with its temperature and I will use that information. But when I looked on the internet I have just found that I can not find directly the polarizability of one molecule of ice but there is an average value for that (I don’t know I am also looking if this is true). Can you please help me to find “ y “ or is there any other ways to find the refractive index with other equations maybe? I hope I can explain my problem.

(Sorry for the bad grammar mistakes or wrong words that I used, eng is not my mother tongue :/)

 

[Irremytr]

Try http://gwest.gats-inc.com/ice_index/Ice_Refractive_Index.html

Thanks a lot :)