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Handbook of Solvents - George Wypych - ChemTech - Ventech!

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716 Ranieri Urbani and Attilio Cesàro<br />

Figure 12.2.6. Conformational energy maps calculated for (a) D-maltose and (b) D-cellobiose. Contours are in<br />

kcal·mol -1 with increments above the minimum (x) <strong>of</strong> 0.5 kcal·mol -1 .<br />

Figure 12.2.7. General scheme <strong>of</strong> the theoretical approach<br />

for the solvation energy calculation.<br />

where the total conformational free energy,<br />

G tot, is given by the sum <strong>of</strong> the contribution<br />

due to the in vacuo conformational state energy,<br />

G conf, and the solvation contribution,<br />

G solv. The latter term is a sum <strong>of</strong> contributions<br />

due to the energy required to create, in<br />

a given solvent, a cavity <strong>of</strong> suitable size to<br />

accommodate the solute molecule in a<br />

given conformational state and the interaction<br />

energy between the solute and the surrounding<br />

solvent molecules, as<br />

schematically shown in Figure 12.2.7: 49<br />

Gsolv = Gcav + Gel + Gdisp<br />

[12.2.2]<br />

The expression for G cav, that is the free<br />

energy required for the formation <strong>of</strong> a cavity<br />

(first step in Figure 12.2.7), at a temperature<br />

T and a pressure P, is taken from the<br />

Scaled Particle Theory (SPT) which has<br />

been successfully applied in the study <strong>of</strong><br />

thermodynamic properties <strong>of</strong> aqueous and<br />

non-aqueous solutions: 47,50

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