# Heat of Melting of Small Clusters in the Model of the Potential with the Effective Well Depth

## Abstract

Within the framework of the cluster model using the Mie pair power-law interaction potential with the effective depth of the potential well, whose depth is determined by the number of particles in the cluster, an equation for the calculation of the heat of melting of cluster systems is obtained. The resulting mathematical expression does not contain empirical constants and shows that the ratio of the heat of melting of a cluster to the heat of melting of a macroscopic sample is a universal function of the number of particles in the cluster and mathematically described by the square of the hyperbolic tangent.

- Authors:

- Southwest State University (Russian Federation)

- Publication Date:

- OSTI Identifier:
- 22771105

- Resource Type:
- Journal Article

- Journal Name:
- Physics of the Solid State

- Additional Journal Information:
- Journal Volume: 60; Journal Issue: 5; Other Information: Copyright (c) 2018 Pleiades Publishing, Ltd.; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1063-7834

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; CLUSTER MODEL; COMPUTERIZED SIMULATION; EQUATIONS; FUNCTIONS; HEAT; INTERACTIONS; MELTING

### Citation Formats

```
Melnikov, G. A., E-mail: melnikovga@mail.ru.
```*Heat of Melting of Small Clusters in the Model of the Potential with the Effective Well Depth*. United States: N. p., 2018.
Web. doi:10.1134/S1063783418050207.

```
Melnikov, G. A., E-mail: melnikovga@mail.ru.
```*Heat of Melting of Small Clusters in the Model of the Potential with the Effective Well Depth*. United States. doi:10.1134/S1063783418050207.

```
Melnikov, G. A., E-mail: melnikovga@mail.ru. Tue .
"Heat of Melting of Small Clusters in the Model of the Potential with the Effective Well Depth". United States. doi:10.1134/S1063783418050207.
```

```
@article{osti_22771105,
```

title = {Heat of Melting of Small Clusters in the Model of the Potential with the Effective Well Depth},

author = {Melnikov, G. A., E-mail: melnikovga@mail.ru},

abstractNote = {Within the framework of the cluster model using the Mie pair power-law interaction potential with the effective depth of the potential well, whose depth is determined by the number of particles in the cluster, an equation for the calculation of the heat of melting of cluster systems is obtained. The resulting mathematical expression does not contain empirical constants and shows that the ratio of the heat of melting of a cluster to the heat of melting of a macroscopic sample is a universal function of the number of particles in the cluster and mathematically described by the square of the hyperbolic tangent.},

doi = {10.1134/S1063783418050207},

journal = {Physics of the Solid State},

issn = {1063-7834},

number = 5,

volume = 60,

place = {United States},

year = {2018},

month = {5}

}

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