Z-average radius of gyration

Rg2>1/2 or root-mean square z-average radius of gyration... 

The root-mean-square z-averaged radius of gyration Rg,z was measured with both instruments. The BI200SM photogoniometer was used with software from Brookhaven Instruments to determine Kc/Re for 11 angles (15° < 0 < 150 °), and these values were fitted to the equation... 

Substituting equation 4 into equation 19 gives an equation analogous to equation 14 for the whole polymer z-average radius of gyration, Tg, that requires quantities obtained from the light-scattering detector alone (no DRI). 

Similar to light s ttering, SAXS provides a measure of A2, and the z-average radius of gyration, the main difference being the smaller size range that can... 

Hence, the key equation at the limit of ero angle and zero concentration, respectively, relating light scattering intensity to and the z-average radius of gyration (R ) may be written as ... 

Thus three quantities of interest can be determined from the same experiment the weight-average molecular weight, the z-average radius of gyration, and the second virial coefficient. Note that the numeral 2, which appears in front of A2 in equations (3.44) and (3.50), arises from the partial differentiation given in equation (3.42). A useful practical equation for the determination of Rg from a plot of H dR 0)] versus sin 0/2 is... 

The constant Cn for this system was determined to be 10.0 x 10 mol/g-cm. What is the weight-average molecular weight and the z-average radius of gyration of the deuterated polymer What third quantity is implicit in this experiment, and what is its probable numerical value ... 

The z-average radius of gyration as a power of the weight-average cluster mass for an acid- and base-catalyzed system. The effective fractal dimension, df(3 - r) = 1.79 0.12,is in good agreement with the valuel.69 0.05 found from the dependence of f/c on q (ref. [72 ). From Martin et at. (73]. 

Light-scattering experiments allow us to measure, by an extrapolation to zero concentration, the mean weight-average and the z-average radius of gyration both of which link to connectivity properties. From the dependence on concentration of the intensity scattered per monomer I/C I q q the interaction parameter B is measured B is very sensitive to the sibling of polymer clusters. 

Fig. 5. Relation between z-average radius of gyration and mean... 

Using a Zimm plot, determine (a) the weight-average molar mass (A h.) of the polystyrene sample, (b) the z-average radius of gyration of the polystyrene... 

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