Colloidal scaling relationships

Figure 10 (a) Free-volume persistence time extracted from the free-volume autocorrelation function (Eq. [9]) for an attractive colloidal fluid as a function of the strength of the interparticle attraction, (b) Comparison of colloidal self-diffusivity (closed symbols) with that estimated using the free-volume scaling relationship D — A(v )2 /tf discussed in the text (open symbols). Data taken from Ref. 75. 

Fig. 6.7. Tests of the scaling relationship in Eq. 6.55 for Au (left, data from D. A. Weitz and M. Y. Lin31) and polystyrene (right, data from P. Meakin6) colloids. The line corresponds to r = 1.5.

This volume aims at providing a coherent presentation of recent developments and understanding of heavy metal reactivity in soils. Such an understanding is necessary in addressing heavy metals concerns in the environment. The implicit framework of multiple reactivity acknowledges the widely known role played by the various colloidal surface functional groups in concomitant reactions. This overarching frame of reference allows unification between molecular structure-reactivity relationships at one scale and transport processes at the other. 

In order to formulate the desired relationships in a useful way, one needs to know about the intermediate inhomogeneous domain. This domain is referred to as the mesoscopic domain. Of particular relevance are domain sizes between 10 nanometers and millimeters, which are referred to as the colloidal domain. The physics that is relevant to this intermediate domain size is called mesoscopic physics, and science relevant to this length scale is classically referred to as colloid science. The physics and the physical chemistry regarding the mesoscopic domain acts as a bridge for formulating relationships between properties on a molecular scale and those at a macroscopic scale. 

Investigate the relationship between surface area and volume in a colloidal system by starting with a 1-cm square block of material and gradually subdividing the block into smaller and smaller subunits. How does the ratio of surface area to volume scale with the particle size ... 

The ultimate aim of this research work is to understand the stability of colloidal dispersions on the basis of the fundamental surface properties displayed by the same systan. To this end, we show several situations that illustrate the existing relationship between the different phenomena. In particular, we show the differences between the foam stability of two food proteins the complex behavior of foams formed with mixed systems piotein/surfactant, and finally, the stability of foams and emulsions of a model protein. In all the cases, the systems are evalnated over different length scales ranging from structural to functional properties. 

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