Attractive range

In the Gurney-Mott mechanism, the trapped electron exerts a coulombic attraction for the interstitial silver ion. This attraction would be limited to a short distance by the high dielectric constant of the silver bromide. Slifkin (1) estimated that the electrostatic potential of a unit point charge in silver bromide falls to within the thermal noise level at a distance of "some 15 interatomic spacings." The maximum charge on the sulfide nucleus would be 1 e. The charge on a positive kink or jog site after capture of an electron would not exceed e/2. An AgJ would have to diffuse to within the attraction range before coulombic forces could become a factor. 

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In the treatment of bulk multiphase fluids as above one can assume that the variation of the density is slow on the length scale of either the repulsive or attractive range of interaction. This is certainly true well inside each phase but not neccessarily true in the interface between phases. Such interfaces are generally of minor extent compared to the bulk phases... 

Influence of Attraction Range and Particle Softness on the Re-Entry Phenomenon... 

To introduce short-ranged attractive interactions, non-adsorbing linear polystyrene with Mw = 79,600 g/mol, Rg = 9.18 nm, Mw/Mn = 1.08, c = 40.8 g/1 was added to this binary mixture, yielding an attraction range S = 0.059 with respect to the average particle size (R)= 156 4 nm. 

Fig. 15 Comparison of the phase diagram of the binary mixture of 1 10 cross-hnked PS particles with the phase diagrams of a the binary mixture of 1 50 ciosslinked PS particles [27] with nearly identical size and number ratios (see text), and with a monomodal dispersion of HS like PMMA spheres [24] b. In all cases linear PS has been used as free polymer to induce attractions yielding comparable attraction ranges of S 0.08 (a) and 8 0.09 (b). Polymer concen-...

We then explored for the model system how the re-entry phenomenon depends on system parameters like attraction range (5 = Rg.poiymer/Rcoiioid) or particle softness (which can be tuned by the crosslink density). We found that decreasing the attraction range from 5 0.08 to 5 0.06 the fluid (re-entry) region is... 

In this chapter we have shown that the critical endpoint (cep), which corresponds to the lowest (relative) attraction range q where a stable colloidal liquid exists, does not depend on the details of the pair potential. It is situated at = 1/3 and an interaction strength e p = 2 kTfor four different systems hard spheres with a Yukawa attraction ( Yuk ), a Lennard-Jones type (LJ) fluid (both onethree-component colloid/polymer/solvent systems with either a fixed depletion thickness ( fix ) or a depletion thickness that varies with the polymer concentration ( var ). In the latter case the depletion thickness decreases from (roughly) the coil radius R in dilute solutions to the blob size in semi-dilute solutions. 

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