Number Dependence of Small-Crystal Thermodynamic Properties. I

The approach of small-crystal thermodynamic properties to the large-crystal limit of thermodynamics is studied numerically. We calculate the number dependence of the vibrational entropy for two- and three-dimensional crystallites by direct integration of the canonical partition function. A simple functional representation of the data shows that small-crystal entropies lie within 10k of the predictions of macroscopic thermodynamics.