Bchm 675, Lecture 7 The Hydrophobic Effect Transfer of Hydrocarbons to Water Hydrophobicity Heat capacity changes and changes and Nonpolar Accessible Surface Area Reading for the Molecular Interactions Text: Chapter 3 (The presentation differs somewhat from my lecture in the emphasis of the coverage The Hydrophobic Effect Reading Books 1. “The Hydrophobic Effect,” Charles Tanford (1973) John Wiley & Sons, Inc. Research Papers 1. Chothia, C. (1974) Nature, 248, 338-339 2. Sturtevant, J. M. (1977) Proc. Natl. Acad. Sci., 74, 2236-2240. 3. Spolar et al., (1989) Proc. Natl. Acad. Sci., 86, 8382-8385. Water: the structure even in the liquid phase is regular. Unusual Properties of water More unusual properties of water Clathrate Model for solubilization of hydrophobic molecules in water: Think about this in terms of entropy. Mixing of two substances A and B ΔGmixing = ΔH mixing −TΔSmixing ΔH mixing = 2ΔH a−b − ΔH a−a − ΔH b−b The probability of mixing depends on the relative values of € the enthalpies and entropies of mixing. Entropically mixing is always favored and becomes more favorable with temperature. The enthalpic contribution depends on the relative strength of the A-A, B-B and A-B bonding. Examples Thermodynamics For standard mixing: ΔGmixing = ΔH mixing −TΔSmixing ΔH mixing = 2ΔH a−b − ΔH a−a − ΔH b−b And the enthalpy is temperature-independent. € What about the hydrophobic effect? What is the structural basis of the thermodynamics of the hydrophobic effect? • Small enthalpy change • Large unfavorable entropy change • Heat capacity change Consider a simple model A central water molecule surrounded by four water molecules. 6 possible ways to H-bond with 4 nearest neighbors Replace one water molecule with a hydrophobic molecule that cannot H-bond. 3 possible ways to H -bond with 3 nearest neighbors Calculate the entropy loss on transferring a hydrophobic solute into water. o − SHo 2O ΔS o = Swithhydrophob ΔS o = N A (k ln Wwithhydrophobe − k ln WH 2O ) 3 ΔS o = N A k ln = N A k ln 0.5 6 TΔS o = RT ln 0.5 € How can we relate the thermodynamics to the amount of hydrophobic surface that is exposed or buried in a process? A simple model for transfer of a small hydrocarbon from the pure state to water. The Gibbs free energy of transfer can be measured by measuring the mole fraction of the hydrocarbon in the hydrocarbon and aqueous phases. Free energy of Transfer Correlation between the free energy of transfer and the change in the solvent accessible surface area. Hydrophobicity Scales Many biological processes are characterized by large Changes in the Heat Capacity See Table 1 in Sturtevant, 1977 A process characterized by a heat capacity change does not have a temperature independent enthalpy. Spolar et al. In these cases the temperature Dependence of the equilibrium constant is analyzed using the following equation: o / R )[(TH /T )− ln(TS /T )−1] ln K A = (ΔC pobs € KA is the equilibrium association constant ΔCpo is the Heat capacity change at constant pressure. TS and TH reference temperatures R is the gas constant. Note that there are other forms of this equation. Heat Capacity changes are correlated with the change in solvent accessible nonpolar surface area.
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