Guinier radius

Guinea worms Guimer-Preston zones Guinier radius L-Gulose [6027-89-0]... 

A primary sol particle in an acid-cataly2ed sol has radius between 1 and 2 nm (3). The secondary fractal particle has a radius, R, of 5 to 20 nm as seen from saxs (3). For the TMOS-based sols investigated by saxs, ( increases with time, as does the Guinier radius, R. The stmcture reaches a fractal dimension around 2.3 at the gelation point. 

In the case of spherical particles, the radius of a particle can be obtained from the Guinier radius according to... 

Guinier Radius and Mean Pore Width Obtained by SAXS... 

FIGURE 4.15 Relationship between the characteristic energy (E0) and Guinier radius. (From Lozano-C astello. D., et al., Studies in Surface Science and Catalysis, Characterisation of Porous Solids V, vol. 128, Elsevier Science, the Netherlands, 523-532, 2000. With permission.)... 

Table 3.- Guinier Radius and mean pore width obtained by SAXS.

Figure 3. Relationship between the characteristic energy (Eo) and Guinier radius...

The set of real numbers The rt-dimensional vector space Real part of a complex number Sample-to-detector distance Guinier radius (i.e. radius of gyration)... 

Figure 2. Change in Guinier radius Rg (a) and mass fractal dimension Dm (b) of fractal structures during a one-stage polymerization. O reaction mixture, 5 % solution in poly(propylene)glycol.

Time- and concentration-dependence of the Guinier radius for two-step acid- and base-catalyzed hydrolysis of TEOS. Dilution (10 1) had no effect on the apparent radius (123]. 

Several other factors may be responsible for deviations from the predicted behavior in various pH, viscosity regimes. Equations 1-3 assume constant Newtonian viscosity and ignore the effects of evaporation. Since extended polymers or aggregates exhibit a strong concentration dependence of the viscosity and Guinier radius R (see Section 2.6.6 in Chapter 3), the concentrating effect of evaporation is expected to progressively increase the... 

It is likely that the spinnable system W2 also shows a concentration dependence of the Guinier radius, but this has not been verified experimentally. 

Concentration dependence of the Guinier radius for the two-step acid-catalyzed precursor (Wl) as a function of the time from gelation, - I. From Schaefer and Keefer [29], Arrow suggests the compaction in the structure expected from solvent evaporation during dipcoating. 

SAXS setup having a Kratky U-sHt system. The incident beam was Cu-Ka radiation with a wavelength of 1.542A. The data were corrected for slit collimation. The Guinier radius, Rg> and the mass fractal dimension, D, were calculated from the Guinier and Porod regions, respectively. 

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