The cell-cluster theory for the liquid state developed in a previous paper ') has been completed by evaluating the combinatorial factor which is involved. In the 1-dimensional case this combinatorial factor can be given in exact form. In the 2-and 3dimensional case approximate solutions are obtained
Cell-cluster theory for the liquid state I
β Scribed by J. De Boer
- Publisher
- Elsevier Science
- Year
- 1954
- Weight
- 499 KB
- Volume
- 20
- Category
- Article
- ISSN
- 0031-8914
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β¦ Synopsis
A generalization is given of the cell method for the liquid state, by taking into account in a systematic way the collective motion of more than one molecule in cell-clusters of more than one cell. A rigourous expression is derived for the partition function in terms of cell-cluster integrals over clusters of two, three, etc. cells, but for the evaluation of the corresponding complicated combinatorial problem approximative methods have to be used. The applications will be given in subsequent publications~
π SIMILAR VOLUMES
In this paper the cell-cluster theory for the liquid state developed in two previous papers 1) 3) is applied to the case that the total intermolecular potential field can be approximated by a harmonic potential field. This model can be applied to the solid state as well as to the liquid state and g