Need Help on Statistical Thermodynamics: How do you convert between k ln W and - Sum of Pi ln Pi

Pennstate

Diamond Member
Oct 14, 1999
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I am trying to find a proof to link Claude Shannon's informational entropy as defined by
S = - (sum of)Pi ln Pi

with Boltzmann's statistical thermodynamic entropy

S = k ln W.


After looking into 3 p chem books and searching the web, I can't find the conversion. Am I wrong to think they are interchangeable?