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Advances in Chemical Physics, Volume 9 by I. Prigogine, Stuart A. Rice

By I. Prigogine, Stuart A. Rice

The Advances in Chemical Physics sequence offers the chemical physics and actual chemistry fields with a discussion board for serious, authoritative reviews of advances in each sector of the self-discipline. full of state-of-the-art examine stated in a cohesive demeanour no longer discovered in different places within the literature, every one quantity of the Advances in Chemical Physics sequence serves because the excellent complement to any complex graduate classification dedicated to the examine of chemical physics

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Thus the singularities are associated with the appearance of new physical processcs, namely the ability to pack additional molecules into the cell. For our purposes, thc important result is that 1V and 4 2 . Thus, if we its first two derivatives are continuous at r denote W , specified by Eq. y‘ (127) These conditions are sufficient to eliminate three of the coefficients in Eq. (126). In fact, the possession of one more condition would permit us to calculate the dependence of all four coefficients upon p and T .

An examination of the propertics of 8 in this limit may be effective in stimulating further developments. For example, it would be interesting to prove that 8 converges on G as the value of p corresponding to close packing is approached. < VI. MISCELLANEOUS Insofar as the systematic application of scaled particle theory is concerned, there are still some formal things which we have not discussed. These are more or less disconnected items stemming from the work of several authors. This section will be devoted to a brief discussion of these aspects of the theory.

Y‘ (127) These conditions are sufficient to eliminate three of the coefficients in Eq. (126). In fact, the possession of one more condition would permit us to calculate the dependence of all four coefficients upon p and T . , down to Y = a/2. If we leave the domain of molecular dimensions, however, and deal \vith a macroscopic cavity, then it shod(€ bc possible to specify IT,’ by thermodynamic rather than statistical methods. Onc of the most pleasing aspects of scaled particle theor), is the fact that thermodynamic considerations demand the same form (126) as do statistical considerations.

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