Distribution coefficient weight-average

The resulting equations for heterogeneous polymers assume the same general form, but numerical evaluation of the second coefficient, A 2 or F2, involves formidable summations over the entire distribution. Molecular weights M occurring in the first term of the osmotic expressions must, of course, be replaced by number averages, Mn- Dilute solutions of two chemically different polymer species also have been treated. ... 

Mark-Houwink-Sakurada constant Mass transfer coefficient around gel Fractional reduction in diffusivity within gel pores resulting from frictional effects Solute distribution coefficient Solvent viscosity nth central moment Peak skewness nth leading moment Viscosity average molecular weight Number of theoretical plates Dimensionless number... 

Selected entries from Methods in Enzymology [vol, page(s)j Boundary analysis [baseline correction, 240, 479, 485-486, 492, 501 second moment, 240, 482-483 time derivative, 240, 479, 485-486, 492, 501 transport method, 240, 483-486] computation of sedimentation coefficient distribution functions, 240, 492-497 diffusion effects, correction [differential distribution functions, 240, 500-501 integral distribution functions, 240, 501] weight average sedimentation coefficient estimation, 240, 497, 499-500. 

The understanding of the macromolecular properties of lignins requires information on number- and weight-average molecular weights (Mn, Mw) and their distributions (MWD). These physico-chemical parameters are very useful in the study of the hydrodynamic behavior of macromolecules in solution, as well as of their conformation and size (1). They also help in the determination of some important structural properties such as functionality, average number of multifunctional monomer units per molecule (2, 3), branching coefficients and crosslink density (4,5). 

Fig. 16. Translational diffusion coefficient distributions G(D) of a simulated polymer mixture at two scattering angles ( , 17° and O , 14°). The mixture contains two polystyrene standards of distinctly different weight average molar masses (3.0 x 105 and 5.9 x 106 g/mol) and a high mass polystyrene...

Figure 5.16. Average weight % Sr and Mg in various marine carbonate solids. (After Veizer, 1983). Calcite, > Aragonite. Range of values of Sr and Mg in aragonite and calcite is also shown, based on calculations using distribution coefficients of Chapter 3 and an average seawater composition. Compare with Figure 5.15.

The relative second moment, K2 jF, a dimensionless quantity, is a measure of polydispersity. It is the intensity-weighted variance divided by the square of the intensity-weighted average of the diffusion coefficient distribution. The relative second moment is also called the polydispersity... 

In the special case when the matrix V has large diagonal elements (i.e., the prior distribution contains very little information of the coefficients), the solution in Equation (2.113) is reduced to the solution in Equation (2.103). In general, the solution in Equation (2.113) can be treated as a weighted average of the solution in Equation (2.103) and the most probable value of the prior distribution and the weightings are Na and V . ... 

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