Canonical lattice-gas partition function (source code)

= Canonical lattice-gas partition function
{title2=$Z_N=\binom MN e^{-\beta N\varepsilon_s}$}

For $N$ indistinguishable adsorbates on $M$ equivalent sites, at most one per site and no lateral interactions, $Z_N=\binom MN e^{-N\varepsilon_s/(k_BT)}$. The binomial coefficient already accounts for indistinguishability; an additional division by $N!$ would count it twice.