Long-range dispersion

While the confirmation of the predicted long-range dispersion attraction between surfaces in air has been a major experimental triumph, the forces between particles in solution are of more general interest in colloid and surface chemistry. The presence of a condensed medium between the surfaces... 

A few ab initio calculations are the main source of our current, very meagre knowledge of non-additive contributions to the short-range energy [91], It is unclear whether the short-range non-additivity is more or less important than the long-range, dispersion non-additivity in the rare-gas solids [28, 92],... 

We consider first the Maier-Saupe tlieory and its variants. In its original foniiulation, tills tlieory assumed tliat orientational order in nematic liquid crystals arises from long-range dispersion forces which are weakly anisotropic [60, 61 and 62]. However, it has been pointed out [63] tliat tlie fonii of tlie Maier-Saupe potential is equivalent to one in... 

Flow cycle and boundary definition—deposition, processing, transition, long-range dispersion etc)... 

T. Schwabe and S. Grimme, Double hybrid density functionals with long range dispersion corrections Higher accuracy and extended applicability. Phys. Chem. Chem. Phys. 9, 3397 3406 (2007). 

S. Grimme, Semiempirical GGA-type density functional constructed with a long-range dispersion correction. J. Comput. Chem. 27, 1787-1799 (2006)... 

If the structure is decided by an effective potential ues (r), it was demonstrated in the mean spherical approximation (MSA) that the direct correlation function c(r) should rapidly approach — pMerr (r) for large r (see Section IE). According to Reatto and Tau [131], this relationship, which is asymptotically exact for large distance and low density, holds quite well when the long-range dispersion term of the AS potential, - Cg / r6, and the AT triple-dipole potential, < m3 (r) > (8n/3)vp/r6, are considered, so that the direct correlation function reads... 

To have an idea about how important are the dispersion interactions of electrolyte ions, we will consider in this section the force between plates generated by a neutral gas, whose particles interact with the plates by long-range dispersion forces. An interaction of the type [16] ... 

Mosca S, Bianconi R, Graziani G, King W (1998) ATMES II evaluation of long-range dispersion models using data of the 1st ETEX release EUR 17756 EN. Office for official publications of the European Communities, Luxembourg. ISBN 92-828-3657-X... 

The Danish Emergency Response Model of the Atmosphere (DERMA Fig. 16.5) is off-line three-dimensional Lagrangian long-range dispersion model using a puff diffusion parameterisation, particle-size dependent deposition parameterisations... 

In what follows, we shall limit ourselves mostly to consideration of the long-range dispersion interaction between (i) two atoms (ii) two linear molecules A and B and (iii) an atom A, at the origin of the intermolecular coordinate system, and a linear molecule B, whose orientation with respect to the z axis is specified by the single angle 8 (Figure 5.3 in the next chapter). 

It has been shown elsewhere (Wormer, 1975 Magnasco and Ottonelli, 1999) that the leading (dipole-dipole) term of the long-range dispersion interaction between two linear molecules has the form ... 

Magnasco, V. and Ottonelli, M. (1999) Long-range dispersion coefficients from a generalization of the London formula. Trends Chem. Phys., 7, 215-232. 

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