We present a generalized Einstein model for calculating thermodynamic properties of smaIL clusters of atoms and demonstrate its validity by compnring its predictions with Burtan's exact calculations. The simplicity of the method enables one to easily compute thermodynamic quantities for many systems
Anomalous entropy of small clusters of atoms
β Scribed by J.J. Burton
- Publisher
- Elsevier Science
- Year
- 1970
- Tongue
- English
- Weight
- 180 KB
- Volume
- 7
- Category
- Article
- ISSN
- 0009-2614
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β¦ Synopsis
The vibrational entropies of small clusters of atoms have been calculated for clusters of 13 to 87 atoms in both cubic and hexagonal close packed arrangements. The entropy per atom is not a monotonic function of the cluster size and shows a maximum around 40 atoms and a minimum in the range 50-80 atoms. Recently, the existence of very large fast computing machines has made it possible to calculate exactly the thermodynamic properties of very small systems and of surfaces. These studies are of interest as they test classical theories of small drops and surfaces. Allen and DeWette [l] have investigated the surface thermodynamic properties of infinite slabs. Dickey and P&kin [2,3] have studied the vibrational frequencies of rectangular box shaped systems. This author [4,5] has investigated the heat capacity,
π SIMILAR VOLUMES
The heat capacities of small spherical clusters of atoms arc calculated in the harmonic a for clusters of up to 55 atoms. The heat capacities do not take the expected form C( 2') =A T B proximation \* BTS. The heat capacity per atom is not monotonic in the number of atoms.
The mcltin~ transition of small clusters cornposed of 13 particIcs intcractinp via the Lennard-Jones 6-11 potential has been investigated by mans of estensive aletrapolis hlonte Carlo sinu&tions. TIie results indicate that \vhereas ttlc clusrcr evaporates in vacuum, in a confined pore the cluster un