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Free energy of confinement

Figure 8. The free energy of confinement of the chain, Ay/ki at constant composition, as a function of the width of the interfacial region, D, at 0 0 and 0.75. Figure 8. The free energy of confinement of the chain, Ay/ki at constant composition, as a function of the width of the interfacial region, D, at 0 0 and 0.75.
Following Helfrich,8,18 one can compute the free energy of confinement, starting from the Hamiltonian of the confined bilayer... [Pg.340]

The free energy of confinement is of the order of kT per compression blob for either chain ... [Pg.108]

The free energy of confining a real linear chain in a good solvent either into a slit of spacing Z) or to a cylindrical pore of diameter D is larger than for an ideal chain because the real chain has repulsive interactions ... [Pg.126]

What is the number of monomers in a compression blob Note Be careful with respect to relative sizes of compression and thermal blobs. What is the free energy of confinement of the chain in a slit ... [Pg.131]

The free energy of confinement Fc of the chain is derived similarly (de Gennes 1979). Now Fc/ksT is dimensionless and its dependence on the pore diameter can be written as a function f (Dp/Rg) in terms of the only dimensionless variable for length that depends on the pore diameter and the polymer size. [Pg.137]

Now suppose we have the gases Gb G2,. . G in the amounts specified at the beginning of this section, all at the same temperature T, separately confined in vessels of volumes Vi, V2,. . V , respectively. If we add together the free energies of the separate gases, the sum may be called the free energy of tlic unmixed gases. Thus ... [Pg.267]

In 1944 Ellingham compiled, for the first time, diagrams depicting the temperature dependence of the standard free energies of formation of numerous oxides and sulphides. In the discussion presented here, attention will be confined to the oxide reaction... [Pg.262]

The configurational free energy of the chain, G, is simply equal to -kT In n. The mean number of segments bound to the confining surfaces can be obtained by differentiating the free energy with respect to 0... [Pg.212]

The free energy cost of introducing a kink is and is the difference between the free energy of a one kink path and that of a path of equivalent P that is confined to one well, E (since the wells are isoenergetic at the crossing point it does not matter which one [81]). The path sum can then be written as an expansion in kinks. The contribution of the set of paths with N kinks to the overall partition function consists of a factor from each kink of Qt = exp(- PFJ, and is... [Pg.75]

The free counterions, of average concentration c = nR/Zr,XR, have three-dimensional (3D) characteristics [51]. These counterions are treated as an ideal gas and are confined to a slab, whose thickness is the Gouy-Chapman screening length XR = 1 /nlBZ0nR. The free energy of the free counterions is approximated as [51]... [Pg.156]

II. Free Energy of Entropic Confinement for a Linear Interaction... [Pg.340]

The difference in the free energies of the free bilayer (which formally corresponds to B 0) and the confined one, per unit area, can be computed by replacing the summation over qx,qy with an integral... [Pg.340]


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Confinement energy

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