LECTURE PHYSICAL CHEMISTRY 3rd EDITION ROBERT G. MORTIMER

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3.4. Statistical Entropy
Since molecules can occupy various states without
changing the macroscopic state of the system of
which they are a part, it is apparent that many
microstates of a macroscopic system correspond to
one macroscopic state. We denote the number of
microstates corresponding to a given macrostate by
Ω. The quantity Ω is sometimes called the
thermodynamic probability of the macrostate. For a
macrostate specified by values of U, V, and n,
Boltzmann defined a statistical entropy:
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