Kirkwood-Buff theory of solutions: Difference between revisions
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'''Kirkwood-Buff integrals''' <ref>[http://dx.doi.org/10.1063/1.1748352 John G. Kirkwood and Frank P. Buff "The Statistical Mechanical Theory of Solutions. I", Journal of Chemical Physics '''19''' pp. 774-777 (1951)]</ref> | |||
:<math>G_{\alpha \beta} = \int_0^\infty \left[{\mathrm g}_{\alpha \beta}^{(2)}({\mathbf r})-1\right] 4\pi r^2 ~d{\mathbf r}</math> | :<math>G_{\alpha \beta} = \int_0^\infty \left[{\mathrm g}_{\alpha \beta}^{(2)}({\mathbf r})-1\right] 4\pi r^2 ~d{\mathbf r}</math> | ||
where <math>{\mathrm g}_{\alpha \beta}({\mathbf r})</math> is the [[pair distribution function]]. | where <math>{\mathrm g}_{\alpha \beta}({\mathbf r})</math> is the [[pair distribution function]]. | ||
==References== | ==References== | ||
<references/> | |||
'''Related reading''' | |||
*[http://dx.doi.org/10.1063/1.434669 A. Ben-Naim "Inversion of the Kirkwood–Buff theory of solutions: Application to the water–ethanol system", Journal of Chemical Physics '''67''' pp. 4884-4890 (1977)] | |||
*[http://dx.doi.org/10.1063/1.2938859 Arieh Ben-Naim "The Kirkwood–Buff integrals for one-component liquids" Journal of Chemical Physics '''128''' 234501 (2008)] | |||
*[http://dx.doi.org/10.1063/1.3398466 Elizabeth A. Ploetz, Nikolaos Bentenitis, and Paul E. Smith "Kirkwood–Buff integrals for ideal solutions", Journal of Chemical Physics 132, 164501 (2010)] | |||
[[category: statistical mechanics]] | [[category: statistical mechanics]] | ||
Revision as of 11:33, 23 April 2010
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Kirkwood-Buff integrals [1]
![{\displaystyle G_{\alpha \beta }=\int _{0}^{\infty }\left[{\mathrm {g} }_{\alpha \beta }^{(2)}({\mathbf {r} })-1\right]4\pi r^{2}~d{\mathbf {r} }}](https://wikimedia.org/api/rest_v1/media/math/render/svg/78077829228af46898df7c81343c9b466fc4bffd)
where is the pair distribution function.
References
Related reading
- A. Ben-Naim "Inversion of the Kirkwood–Buff theory of solutions: Application to the water–ethanol system", Journal of Chemical Physics 67 pp. 4884-4890 (1977)
- Arieh Ben-Naim "The Kirkwood–Buff integrals for one-component liquids" Journal of Chemical Physics 128 234501 (2008)
- Elizabeth A. Ploetz, Nikolaos Bentenitis, and Paul E. Smith "Kirkwood–Buff integrals for ideal solutions", Journal of Chemical Physics 132, 164501 (2010)