Van der Waals free energy

WEE AS A van der Waals free energy acceptor surface area... 

The individual free energy components show the relative contributions from the electrostatic and the van der Waals interactions. The free energy change for the annihilation of the charges on the ligand in the complex and in solution is almost identical within the limits of the estimation. However, the van der Waals free energy component for the complex is more than that of the isolated ligand (Table 1). 

Here we have extended the Poole model in order to describe multiple phase separations in cuprates. The free energy of a complex system in which n phase separations are observed, is obtained by adding the term Ay, to the Van der Waals free energy ArDW yielding a total free energy... 

The measured profile of thickness versus height reveals the balance between favorable van der Waals free energy of thickening and unfavorable work of lifting against... 

Nonideally, physicists are still wrestling with real conductors as opposed to infinite-s ideal metals. The real problem is the n = 0 term in the summation for the van der Waals free energy. Its character differs from those at finite frequency and must therefore be trusted only in specifically validated cases. For real conductors, properties of the form —e2/ o)(o)me + iy)] are expressed explicitly in terms of conductivity a as a term... 

Appendix A Van Der Waals Free Energy for a Multilayer, Formed by Alternating Water and Oil... 

The first term (AGcav) is connected with the surface area model, and the y parameter has the same physical meaning as the one in the SGB/NP model. The second term (AGvdW) is the solute-solvent van der Waals free energy term, which introduces another set of parameters. The first one, B, corresponds to the Born radius of the atom i, the second, Rw = 1.4 A is the radius of the water molecule, the next one at = -fTTpwsiw[Pg.219]

The van der Waals free energy between two particles is approximately given... 

Finally, the total van der Waals free energy of interaction has the following form ... 

Fig. 4.2 Reduction of the van der Waals free energy via phase separation below t = 1...

The computation of the density of states within the LCT is nontrivial since the LCT free energy F T) = —(31nZ(7 ) is derived as an expansion in the product of the van der Waals interaction energies e and (3 = l/k T. This free energy series for semiflexible polymer systems has been developed [50, 51] through second order in p,... 

The latter behavior can be attributed to the bridging of the vermiculite layers by PVME. The experimental and theoretical results are compared in Fig. 16. The molecular weight of PVME is 18000, value which satisfies the condition for the chain to be sufficiently long imposed by the theory. In the calculations, the total free energy of the system is the sum of the free energy F and the van der Waals interaction energy / v(lw between plates, which is given by... 

The first term of Eq 2.48 is the H-F combinatorial entropy. The second term (where the subscript v indicates the free volume fraction) represents the free volume contribution to the entropy of mixing. The third term represents the non-combinatorial contribution [g ((t) ) is the non-combinatorial energy on a molten state of polymer i having the free volume fraction (()y]. The fourth term represents the energetic contribution originating from interaction between unlikely species, i j. Here gj.( (()j ) is the interaction term expressed as polynomial with coefficients that depend on the structure of the polymer chains. These coefficients are computed as double expansions in 1/z ( z is the lattice coordination number), and e jj/kgT (e j is the van der Waals interaction energies between groups a and b). 

With this result for the averaged van der Waals potential energy curves, something can already be learned about the frequency shift in the diatom transition. The difference in the absorption frequency between the free and complexed diatom is equal to the difference in the binding energy of the van der Waals bond for v" = 0 and v = 1. This difference is given by... 

The free energy of interaction of two interacting bodies may be expressed as a sum of electrical double layer interaction energy (in general, repulsive) and the van der Waals attraction energy (in general, attractive) ... 

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