Solvent-Induced Interactions and Forces in Protein Folding by Arieh Ben-Naim

Author:Arieh Ben-Naim
Language: eng
Format: epub
ISBN: 9783031318719
Publisher: Springer Nature Switzerland

4.3 Temperature Dependence of the Interactions

Formally, the temperature dependence of the SII may be obtained from Eq. (4.5). Taking the derivative of with respect to T, and constant pressure P, we get:

(4.16)

In this equation, M denotes the “Monomer,” and D denotes the “dimer”, i.e. two monomers at a distance R.

As we have seen in Sect. 4.1, the temperature dependence of is negative, i.e. becomes larger (in absolute magnitude) as we increase the temperature. This phenomenon is quite unique to aqueous solutions.

There are several ways of writing the statistical mechanical expression for the solvation entropy. The simplest one is to take the temperature derivative of either (at constant pressure) or (at constant volume) to get:

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