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 c
A cell-cluster theory for the liquid state. II
β Scribed by E.G.D. Cohen; J. De Boer; Z.W. Salsburg
- Publisher
- Elsevier Science
- Year
- 1954
- Weight
- 513 KB
- Volume
- 21
- Category
- Article
- ISSN
- 0031-8914
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β¦ Synopsis
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 for this combinatorial problem, using a method similar to that introduced by K i k u c h i. As an example the formulae are applied to the ideal gas case. This leads to a complete appearance of the "communal entropy" in the 1-dimensional case. In the 2-and 3-dimensional cases the first correction accounts already for a large part of this "communal entropy".
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