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The thermodynamic properties of clusters of argon atoms are studied by a combination of classical and quantum mechanical Monte Carlo methods. The argon atoms are represented by Lennard-Jones interactions and internal energies, free energies, and entropies are calculated as a function of temperature and cluster size. For the argon system quantum effects and anharmonocity corrections are found to be simultaneously important for a temperature range from 15 to 20K. By examining local minima in the free energy of formation of argon clusters as a funciton of cluster size, magic numbers in the Boltzmann mass distribution are observed at n = 7, 13, and 19 under some conditions of temperature and pressure. In some cases magic numbers are predicted in the quantum and not in the classical calculation. The entropy changes associated with cluster growth are found to be insensitive to cluster size. Quantum corrections are calculated to nucleation rates and found to be very important at low temperatures.

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© 1985 American Institute of Physics.This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics. The following article appeared in D.L. Freeman and J.D. Doll, “Quantum Monte Carlo Study of the Thermodynamic Properties of Argon Clusters:The Homogeneous Nucleation of Argon in Argon Vapor and ’Magic Number’ Distributions in Argon Vapor,” J. Chem. Phys., 82, 462-471 (1985) and may be found at