# STASTICAL THERMODYNAMICS OF MIXTURES. II. CONVERGENCE OF THE QUASI- CHEMICAL METHOD FOR THE ISING SQUARE LATTICE

## Abstract

The quasi-chemical approximation of Guggenheim for calculating the thermodynamic properties of the Ising model is discussed. The Ising model is where a system of atoms is arranged on a lattice with simple nearestneighbor interactions. This model provides a more or less realistic description of many physical systems. For convenience a calculation is made of a mixture of two kinds of atoms, A and B, the forces between the atoms being such that a (nearest- neighbor) AB pair has an energy larger by an amount epsilon than the average of an AA or BB pair. The method was chosen because it provides a sequence of approximations which is believed to converge to the exact solution. (N.W.R.)

- Authors:

- Publication Date:

- Research Org.:
- Univ. of California, Livermore

- Sponsoring Org.:
- USDOE

- OSTI Identifier:
- 4039984

- Report Number(s):
- UCRL-5842-T

Journal ID: JCPSA; 0021-9606

- NSA Number:
- NSA-15-023500

- Resource Type:
- Journal Article

- Journal Name:
- Journal of Chemical Physics (U.S.)

- Additional Journal Information:
- Journal Volume: Vol: 34; Other Information: UCRL-5842-T. Orig. Receipt Date: 31-DEC-61

- Country of Publication:
- United States

- Language:
- English

- Subject:
- CHEMISTRY; ALLOYS; INTERACTIONS; ISING MODEL; LATTICES; MIXING; STATISTICS; THERMODYNAMICS

### Citation Formats

```
Brush, S G.
```*STASTICAL THERMODYNAMICS OF MIXTURES. II. CONVERGENCE OF THE QUASI- CHEMICAL METHOD FOR THE ISING SQUARE LATTICE*. United States: N. p., 1961.
Web. doi:10.1063/1.1701101.

```
Brush, S G.
```*STASTICAL THERMODYNAMICS OF MIXTURES. II. CONVERGENCE OF THE QUASI- CHEMICAL METHOD FOR THE ISING SQUARE LATTICE*. United States. doi:10.1063/1.1701101.

```
Brush, S G. Sun .
"STASTICAL THERMODYNAMICS OF MIXTURES. II. CONVERGENCE OF THE QUASI- CHEMICAL METHOD FOR THE ISING SQUARE LATTICE". United States. doi:10.1063/1.1701101.
```

```
@article{osti_4039984,
```

title = {STASTICAL THERMODYNAMICS OF MIXTURES. II. CONVERGENCE OF THE QUASI- CHEMICAL METHOD FOR THE ISING SQUARE LATTICE},

author = {Brush, S G},

abstractNote = {The quasi-chemical approximation of Guggenheim for calculating the thermodynamic properties of the Ising model is discussed. The Ising model is where a system of atoms is arranged on a lattice with simple nearestneighbor interactions. This model provides a more or less realistic description of many physical systems. For convenience a calculation is made of a mixture of two kinds of atoms, A and B, the forces between the atoms being such that a (nearest- neighbor) AB pair has an energy larger by an amount epsilon than the average of an AA or BB pair. The method was chosen because it provides a sequence of approximations which is believed to converge to the exact solution. (N.W.R.)},

doi = {10.1063/1.1701101},

journal = {Journal of Chemical Physics (U.S.)},

number = ,

volume = Vol: 34,

place = {United States},

year = {1961},

month = {1}

}

DOI: 10.1063/1.1701101

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