Molecular dynamics study of the structure and thermodynamic properties of argon microclusters

Microclusters of 2–100 argon atoms were studied using molecular dynamics. The microclusters were ordered solids at low temperatures and energies and disordered liquids at high temperatures and energies. The melting transition occurred considerably below the bulk melting temperature. Radial density functions, interference functions, diffusion coefficients, and surface energies were calculated for both the solid and liquid phases. The surface energies of the microclusters could be expressed as a function of the form Ai2/3+Bi1/3 where i is the number of atoms in the cluster. For 0 °K solid clusters A and B have the values 0.26×10−12 and −0.12×10−12 erg, respectively; for liquid clusters at 40 °K, A and B have the values 0.17×10−12 and −0.045×10−12 erg, respectively. Clusters containing 7 or more atoms melted with the occurence of a first‐order‐like transition. This transition was studied further through Monte Carlo calculations. A possible model for the first‐order‐like transition is proposed.

[1]  R. Narcisi The Formation of Cluster Ions in Laboratory Sources and in the Ionosphere , 1970 .

[2]  D. Mcginty Molecular dynamics studies of the properties of small clusters of argon atoms , 1973 .

[3]  J. Farges,et al.  Crystalline and noncrystalline effects in electron diffraction patterns from small clusters in an argon cluster beam , 1973 .

[4]  J. J. Burton The configurational contribution to the free energy of small face centered cubic clusters , 1972 .

[5]  L. Verlet Computer "Experiments" on Classical Fluids. I. Thermodynamical Properties of Lennard-Jones Molecules , 1967 .

[6]  F. R. Parker,et al.  Monte Carlo Equation of State of Molecules Interacting with the Lennard‐Jones Potential. I. A Supercritical Isotherm at about Twice the Critical Temperature , 1957 .

[7]  J. J. Burton STRUCTURE AND PROPERTIES OF MICROCRYSTALLINE CATALYSTS , 1974 .

[8]  M. R. Hoare,et al.  Geometry and Stability of “Spherical” f.c.c. Microcrystallites , 1972 .

[9]  J. V. Sanders,et al.  The structure and orientation of crystals in deposits of metals on mica , 1967 .

[10]  J. A. Barker,et al.  Perturbation theory of fluids and deviations from classical behavior , 1969 .

[11]  David Jackson McGinty,et al.  Vapor phase homogeneous nucleation and the thermodynamic properties of small clusters of argon atoms , 1971 .

[12]  P. Maitrepierre Structure of Amorphous Ni–Pd–P and Fe–Pd–P Alloys , 1969 .

[13]  M. R. Hoare,et al.  Statistics and stability of small assemblies of atoms , 1972 .

[14]  C. Briant,et al.  Melting of a Small Cluster of Atoms , 1973 .

[15]  B. J. Mason,et al.  The physics of clouds , 1971 .

[16]  J. J. Burton Anomalous heat capacity of spherical clusters of atoms , 1969 .

[17]  F. Karioris,et al.  Lattice Constant and Crystallite Size of Condensed Gold Vapor , 1966 .

[18]  G. M. Pound,et al.  Replacement Partition Function for Small Crystals in Homogeneous Nucleation Theory , 1971 .

[19]  R. Helmholtz Untersuchungen über Dämpfe und Nebel, besonders über solche von Lösungen , 1886 .

[20]  C. Wagner Structure of Amorphous Alloy Films , 1969 .

[21]  L. Verlet,et al.  Computer "Experiments" on Classical Fluids. III. Time-Dependent Self-Correlation Functions , 1970 .

[22]  B. Alder,et al.  Phase Transition in Elastic Disks , 1962 .

[23]  M. Hoare,et al.  Physical cluster mechanics: Statics and energy surfaces for monatomic systems , 1971 .

[24]  B. Alder,et al.  Studies in Molecular Dynamics. II. Behavior of a Small Number of Elastic Spheres , 1960 .

[25]  B. Alder,et al.  Studies in Molecular Dynamics. I. General Method , 1959 .

[26]  A. Mackay A dense non-crystallographic packing of equal spheres , 1962 .

[27]  G. Cargill Structural Investigation of Noncrystalline Nickel‐Phosphorus Alloys , 1970 .

[28]  Aneesur Rahman,et al.  Correlations in the Motion of Atoms in Liquid Argon , 1964 .

[29]  J. J. Burton Calculation of properties of solid argon from the dymond-alder potential , 1970 .

[30]  B. Bagley On the origin of pseudosymmetry , 1970 .

[31]  Oliver Penrose,et al.  Modern ergodic theory , 1973 .

[32]  D. Mcginty The single-configuration approximation in the calculation of the thermodynamic properties of microcrystalline clusters , 1972 .

[33]  F. Stillinger,et al.  Improved simulation of liquid water by molecular dynamics , 1974 .

[34]  P. G. Hill,et al.  Nucleation of Supersaturated Vapors in Nozzles. II. C6H6, CHCl3, CCl3F, and C2H5OH , 1969 .

[35]  R. M. Wilenzick,et al.  Mössbauer isomer shift in gold microcrystals , 1970 .

[36]  C. Grigson Lattice Contractions in Microcrystals of Nickel–Iron , 1966, Nature.

[37]  R. Cotterill,et al.  Thermodynamics of small clusters of atoms: A molecular dynamics simulation , 1974 .

[38]  H. Sakata,et al.  Electron Diffraction Study of Evaporated Films of Nickel and Cobalt , 1962 .

[39]  J. Lothe,et al.  RECONSIDERATIONS OF NUCLEATION THEORY , 1962 .

[40]  F. Abraham,et al.  Thermodynamics of Microcrystallites and Its Relation to Nucleation Theory , 1971 .

[41]  J. J. Burton Free energy of small face centred cubic clusters of atoms , 1973 .

[42]  J. A. Barker,et al.  Theory and Monte Carlo simulation of physical clusters in the imperfect vapor , 1973 .

[43]  R. Allen,et al.  Surface Thermodynamic Functions for Noble‐Gas Crystals , 1969 .

[44]  J. J. Burton,et al.  SURFACE DISTORTION IN FACE-CENTERED CUBIC SOLIDS , 1967 .

[45]  R. Tolman The Effect of Droplet Size on Surface Tension , 1949 .

[46]  P. G. Hill,et al.  Nucleation of Supersaturated Vapors in Nozzles. I. H2O and NH3 , 1969 .

[47]  N. Halder,et al.  Structure of a Vapor‐Quenched AgCu Alloy , 1968 .

[48]  C. Grigson,et al.  The development of the face-centred cubic interference functions as crystals grow , 1967 .

[49]  N. Metropolis,et al.  Equation of State Calculations by Fast Computing Machines , 1953, Resonance.

[50]  S. Ino Epitaxial Growth of Metals on Rocksalt Faces Cleaved in Vacuum. II. Orientation and Structure of Gold Particles Formed in Ultrahigh Vacuum , 1966 .

[51]  J. J. Burton Densely Packed Small Clusters of Atoms , 1971, Nature.

[52]  J. Feder,et al.  Homogeneous nucleation and growth of droplets in vapours , 1966 .

[53]  J. J. Burton Configuration, Energy, and Heat Capacity of Small Spherical Clusters of Atoms , 1970 .

[54]  William Thomson,et al.  4. On the Equilibrium of Vapour at a Curved Surface of Liquid. , 1872 .

[55]  T. Whyte Metal Particle Size Determination of Supported Metal Catalysts , 1974 .

[56]  G. C. Benson,et al.  The Surface Energy of Small Nuclei , 1951 .

[57]  J. J. Burton Vibrational Frequencies and Entropies of Small Clusters of Atoms , 1972 .

[58]  J. J. Burton On the validity of homogeneous nucleation theory , 1973 .

[59]  F. Abraham,et al.  THE SURFACE FREE ENERGY OF EMBRYONIC DROPLETS IN THE THEORY OF HOMOGENEOUS NUCLEATION , 1968 .

[60]  J. M. Dickey,et al.  Computer Simulation of the Lattice Dynamics of Solids , 1969 .