Entropy, Partition Function and Free Energy

The probability for a molecular subsystem to have energy in the interval between E and E + dE reads  

Hence w(( ))Ar = 1 and the dimensionless entropy is found to be related to the distribution function w( ) 

The transformation of average values in (6.41) follows from the statistical independence of the events described by a distribution function (for Wi2 = W1W2, lnwi2 = Invvi + lnw2, etc.). 

Dimension of entropy is [erg/K] or [J/K], To have an idea of the entropy value, let us take a tremendous number of points in the phase space, e.g. Then, 

5 = 230 and S = erg/K are extremely small values with respect to experi- 

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