Scaled particle theory, Gibbons

Gibbons R M 1969 Scaled particle theory for particles of arbitrary shape Mol. Phys. 17 81... 

A second method of handling nonspherical particles in the same general model is to use the scaled particle theory result of Gibbons (GIB) (15) for zHP ... 

Relation (8.83) permits a novel application of the scaled particle theory to the problem of Table 8.8 gives some computed values of for water and various nonaqueous solvents. [See Ben-Naim (1971a).] It is quite clear that the values of zlyUns largest in water, which, by virtue of (8.83), means that in water, the HI is the strongest. In spite of some serious reservations that one may have regarding the application of the scaled particle theory to fluids such as water (see Section 7.3), the results of Table 8.8 show the same trend we witnessed in Section 8.6. [Recently, a more detailed examination of the application of the scaled particle theory for this problem has been reported by Wilhelm and Battino (1972). We have discussed here only spherical solutes, for which one needs a spherical cavity. An extension of the scaled particle theory to particles of arbitrary shape has been reported by Gibbons (1969).]... 

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