Microgel gyration radius

The microgel gyration radius is connected with MM according to the following relationship [158] ... 

FIGURE 63 The dependence of reaction rate constant on microgels gyration radius in double logarithmic coordinates for system EPS-l/DDM. 

Let us consider the change in curing reaction process of cured microgels gyration radius R. value is coimeeted with MM according to the fractal Eq. (1) of Chapter 1. In Fig. 34, the dependence R (t) for the system EPS-4/DDM, cured at T = 393 K, is adduced. It is interesting to note the absence of sirrrilarity between the deperrdences MM(t) and R ft). This observation requires special explanation. 

Let us consider the change in the curing reaction process of the gyration radius of cured microgels R. The value is connected with M according to the following fractal relationship [36] ... 

The gyration radius of microgels is connected with M by the following relationship [5] ... 

Figure 3.45 The dependence of the reaction rate constant on the gyration radius R of microgels in double logarithmic coordinates for the system EPS-4/DDM [89]...

Fig. 49. A sketch of the segment density profile for a microgel. The various bars indicate the position of the radius of gyration, the expected equivalent sphere radius and the hydrodynamic radius, respectively1881...

Fig. 16 Temperature dependence of average hydrodynamic radius (< Rh)) and average radius of gyration Pg of PNIPAM microgels grafted with linear PEO chains in the heating-and-cooling cycle, where the dispersion concentration is 1.0 x 10 5 g/mL [70]...

Fig. 7 Dose dependence of the radius of gyration Rg in the swollen (25°C) and shrunken (50°C) state of PVME microgel particles synthesized by pulsed electron beam irradiation above the phase transition temperature...

FIGURES Radius of gyration for PNIPAM microgels in aqueous solution (solid squares) and after addition of mass fraction 0.4 of Fe Oj nanoparticles, data after Rubio-Retama et al. (2007). 

In this chapter, however, we want to face the theoretical questions and physical consequences (so far they have been solved) and not to stress the difficult and advanced chemistry. Isolated microgels have been treated extensively by use of the cascade procedure or tree approximation. Within this approach one is able to relate all quantities of interest, like radius of gyration, scattering function, translational diffusion coefficient, etc., to the generating function. This method has been reviewed recently by Burchard and we report briefly here. 

The equilibrium radius of gyration is determined by the minimization of the free energy and the general result is an implicit equation for the volume of the microgel to be solved numerically (see ref. 284). An approximate value for the radius of gyration of the microgel is... 

The application of SEC-LS has heen discussed in a multitude of papers. Useful information can he found in References 2,3,47-57,76. Further details on SEC-LS are summarized as follows precision and accuracy of different LS detectors,"" " the formation of microgels,"" problems encountered in molar mass and radius of gyration determination, and the analysis of micellar systems. "" ... 

---