Chemistry

Download Advances in Chemical Physics, Vol.11 (Interscience, 1967) by I. (editor) Prigogine PDF

By I. (editor) Prigogine

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Sample text

The irreducible diagrams may be classified as either simple irreducible diagrams, in which no two nodes are connected by more than one direct bond, or irreducible diagrams with “melon bonds”, in which at least one pair of nodes is connected by two or more direct bonds (see Fig. 2 for examples). Thus, to every simple irreducible diagram there correspond diagrams in higher-order semi-invariants with melon bonds formed by adding more bonds in parallel to existing direct bonds in the simple diagram.

C. Further Remarks The rather brief examples above should suffice to illustrate that for dilute systems with short-range interactions expressions for concentrations of point defects or defect aggregates are readily obtained by retaining the first two or three virial coefficients in the relevant expansions. Compared with the quasi-chemical (mass action) formalism traditionally employed the method has the advantages of precision and compactness of statement and the relative ease with which many-defect systems and more distant interactions can be dealt with.

Further Remarks The rather brief examples above should suffice to illustrate that for dilute systems with short-range interactions expressions for concentrations of point defects or defect aggregates are readily obtained by retaining the first two or three virial coefficients in the relevant expansions. Compared with the quasi-chemical (mass action) formalism traditionally employed the method has the advantages of precision and compactness of statement and the relative ease with which many-defect systems and more distant interactions can be dealt with.

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