Fractionator diameter-Smith

The definition of the surface-volume mean diamefer given by equation 1.11 must be modified for use wifh dafa from a sieve analysis. By assuming that the shape and density of fhe particles are constant for all size fractions, a number distribution can be transformed fo a mass distribution (Smith, 2003) and therefore the surface-volume diameter becomes... 

W. O. Smith (1933) suggested the following riiethod of interpolation for securing the number of contacts between spheres of equal diameter. Let denote the fractional voids, and assume that a linear relationship exists between the number of contacts, N, and the voids. Referring to Figure 29, if Ns denotes the number of contacts per unit volume for a... 

The system initially consists of water, a practically water-insoluble monomer, an emulsifier, and a water-soluble initiator (see Figure 20-10). The emulsifier forms a great number of micelles above the critical micelle concentration. The micelles solubilize monomer, which causes them to swell. Another fraction of the monomer forms monomer droplets of about 1000 nm diameter. The initiator dissociates into free radicals, which can either travel into the micelle and start a polymerization directly (Smith-Ewart-Harkins theory) or react first with an emulsifier molecule, under... 

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