Static dielectric constant of NaCl

komigen
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Hey,
I have a question in how one can calculate the static dielectric constant, f, of NaCl. NaCl has density of 2170kg/m3, a lattice constant a= 5.6 A and a Young's modulus Y = 40GPa. the optical dielctric costant is 2.34. I couldn't find any formulas which connect these values together. We have the relative permitivity X= f-1, but this can't be used since we don't have the value of X. which formulas can we use?
 
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They're pretty much independent, since the optical polarization is due to the electrons and the static polarization is due to the ions.
 
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