2010
DOI: 10.1063/1.3398466
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Kirkwood–Buff integrals for ideal solutions

Abstract: The Kirkwood-Buff ͑KB͒ theory of solutions is a rigorous theory of solution mixtures which relates the molecular distributions between the solution components to the thermodynamic properties of the mixture. Ideal solutions represent a useful reference for understanding the properties of real solutions. Here, we derive expressions for the KB integrals, the central components of KB theory, in ideal solutions of any number of components corresponding to the three main concentration scales. The results are illustr… Show more

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Cited by 25 publications
(19 citation statements)
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“…The Ben + Tol com rdfs and N ij were not included in Figures 4 and 5 because we have discussed the excellent simulation of this ideality previously. 77 The Tol + Ben com rdfs displayed a first solvation shell at ~0.6 nm, however the g Ben-Ben and g Tol-Tol distributions had slightly different magnitudes with a small increase in the probability for finding a Ben ~0.6 nm away from a central Ben than a Tol ~0.6 nm away from a central Tol. This was likely due to the tighter packing that is possible between Ben molecules due to the absence of a methyl group when compared to Tol.…”
Section: Resultsmentioning
confidence: 93%
“…The Ben + Tol com rdfs and N ij were not included in Figures 4 and 5 because we have discussed the excellent simulation of this ideality previously. 77 The Tol + Ben com rdfs displayed a first solvation shell at ~0.6 nm, however the g Ben-Ben and g Tol-Tol distributions had slightly different magnitudes with a small increase in the probability for finding a Ben ~0.6 nm away from a central Ben than a Tol ~0.6 nm away from a central Tol. This was likely due to the tighter packing that is possible between Ben molecules due to the absence of a methyl group when compared to Tol.…”
Section: Resultsmentioning
confidence: 93%
“…A study carried out by Ploetz et al provided a different viewpoint on azeotrope formation in this system. 39 Using Kirkwood-Buff integrals 40 they found a large positive value for the integral describing methanol-methanol pairs in benzene-rich mixtures. This indicates the aggregation of methanol molecules and that the mixture approaches heterogeneous phase separation.…”
Section: Figurementioning
confidence: 99%
“…47,65,66 Hence, we have also included the corresponding SI results for the two liquid mixtures studied here. SI solutions are characterized by G E m = V E m = 0 and give rise to the following general expression for the pair distribution integrals:…”
Section: B Symmetric Ideal Solutionsmentioning
confidence: 99%