Interaction energy, fractional change

The ordering of block copolymer micelles onto a lattice was considered by Leibler and Pincus (1984). They considered the interaction between a pair of micelles in homopolymer solvent and determined the repulsive interaction energy that arises from the change in homopolymer concentration in the micellar corona and related entropic effects. Using the estimated volume fraction for... 

Figure 1. The fractional change in the minimum interaction energy as an adsorbed atom moves from a site center to the mid-point of a site edge is plotted against the ratio of crgg, the atomic diameter of an adsorbed atom, to (rsa, the diameter of an atom of the solid. The fractional change in energy, —E/em(0), was obtained by linear extrapolation of the theoretically computed change in eT near the site center...

In both reversed-phase and hydrophobic interaction HPLC, the change in free energy, the equilibrium association constant Kassoc, and the retention behavior (expressed as the logarithm of the capacity factor k ) following an increase in concentration [Solvent]m or volume fraction i/fS0 vent of an organic solvent, or a decreasing concentration of a salt species [Salt]m in the mobile phase can be empirically evaluated from the following expressions ... 

Jahne et al. (1987) also investigated isotopic specific diffusion coefficients for He and the change in 5C (C02) during diffusive gas loss from water. The increase in He diffusivity for the He compared to Tie was in agreement with the ratio of the square-root of their masses. This result provides further supporting evidence that the diffusion coefficients for individual isotopic noble gas species can reasonably be determined as a function of mass from Table 5 for variable temperatures. This is in contrast with the results for the study of 5C (C02), which showed a fractionation factor far lower than the value predicted from the square root of the reduced mass. This discrepancy indicates that in the case of active gases the difference is not just an effect of mass but of the isotope specific interaction energy with the water molecules. 

Figure 5.26. A wetting transition. The solid, bold line is the surface volume fraction as a function of the volume fraction at the binodal as the interaction parameter is changed, whereas the bold, dashed line is the corresponding free energy for the wet solutions. The thinner solid line and the thinner dashed line are the surface volume fraction and corresponding free energy for the partially wet solution. The point at which the free energies of each solution are equal marks the wetting transition.

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