β Scribed by E.G.D Cohen; J. De Boer; Z.W. Salsburg
No coin nor oath required. For personal study only.
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 gives an improvement on the single cell (Einstein) theory of the condensed phase in the direction of the results of an exact treatment. Already the first cell-cluster approximation accounts for about 50~/o of the entropy difference between the single cell-and the exact theory.
π SIMILAR VOLUMES
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
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 simple Monte Carlo model is presented for simulating the motion of a quantum harmonic oscillator trapped in a rare gas cluster or matrix which is treated as a classical heat bath. Preliminary results are present for the system l:.Aq~ where it would appear that the bond length of the molecule is se