Hydrodynamic radius distribution

In contrast, the hydrodynamic radius distribution recorded for aqueous solutions of copolymers with a low grafting density is bimodal, with a contribution from small entities of = 5-30 nm, assigned to single polymer chains, and a contribution from larger particles of = 80 = 150 nm (Fig. 24b, c). The relative importance of the two populations depends on copolymer concentration the relative amount of the larger particles increases with increasing copolymer concentration. 

Figure 2. Typical hydrodynamic radius distributions (/(RjO) of individual triblock PMMA-Z>-PS-Z>-PMMA copolymer chain end-capped with oxalyl chloride in a solvent mixture of methyl acetate and acetonitrile (10/1, v/v) at 45 °C and the aggregates formed via the self-assembly of the triblock copolymer chains at 29 °C, where the triblock copolymer concentration is 1 x 10 4 g / mL.[35]...

Before the coupling reaction, the self-assembly of PI-Z>-PS-Z>-PI triblock copolymer chains in w-hcxane was investigated by LLS. Figure 7 shows typical hydrodynamic radius distributions (/(Rh)) of individual PI-Z>-PS-Z>-PI triblock chains in THF, a good solvent for both the PI and PS blocks, and the core-shell micelles formed via the self-assembly of the triblock copolymer chains in -hexane, a solvent selectively good for the PI block. The shifting of the peak from... 

Figure 7. Typical hydrodynamic radius distributions (/(Rh)) of individual PI-6-PS-6-PI triblock copolymer chains end-capped with butyl bromide group (SI44) in THF and their self-assembled coreshell micelle in w-hexane, where C = 1.0 x 10 2 g/mL and T = 25.0 °C.

Figures 22,23 and 24, respectively, depict the apparent hydrodynamic radius distributions f(Rh) for STVPh-3, STVPh-9, and STVPh-15, as well as their blends with PEMA in toluene. Here, the STVPh unit fraction Fr is defined as the total moles of styrene and vinylphenol monomer units of STVPh relative to those of PEMA plus STVPh. In LLS experiments done, PMMA cannot be seen , because its dn/dc in toluene is close to zero. As seen in Fig. 22, the f(Rh) of the STVPh-3/PEMA (50 50, w/w) blend is similar to that of pure STVPh-3, indicating that...

Fig- 22. Hydrodynamic radius distributions f(%) for STVPh-3 and STVPh-3/PEMA blends (50 50, w/w) in toluene, determined at a total polymer concentration 1.0x10" g/ml and a scattering angle of 15° [147]... 

Fig. 23. Hydrodynamic radius distributions f(R ) for STVPh-9 and STVPh-9/PEMA with various blend compositions in toluene. The measuring conditions are the same as in Fig. 22 [147]...

Fig. 1 Typical angular dependence of KC/Ryy(q) of PNIPAM in water at two different temperatures, where the weight-average molar mass (Mw) and concentration (C) of PNIPAM are 1.3 x 107 g/mol and 6.7 x 10-7 g/mL, respectively. The insert shows the corresponding hydrodynamic radius distributions f(R ) of the PNIPAM chains respectively in the coiled and the globular states [38]...

Fig. 23 Angular dependence of Rayleigh ratio (Rw(q)) of segmented PNIPAM-seg-St copolymer chains in water measured from static LLS, where K is a constant, q is the scattering vector and polymer concentration (C) was 7.2 x 10-7 g/mL. The inset shows the temperature dependence of the hydrodynamic radius distribution /(Rh) determined from dynamic LLS [94]...

Fig. 37 Typical hydrodynamic radius distributions (/(i h)) of resultant P(DEA-co-DMA) mesoglobules formed under different heating rates [139]...

Fig. 24 Hydrodynamic radius distributions f(Rh) of different microgels in each step of the incorporation of TOPO-stabilized CdSe NPs into microgel column (a) NIPAM/VIm(2.78%), column (b) VCL/AAEM/VIm(2.88%). Right TEM images of single VCL/AEM/VIm(2.88%) microgel particle before and after loading with QDs. Taken from [158]...

Fig. 32 a Temperature dependence of the intensity of scattered light (J) (filled symbols) and the apparent hydrodynamic radius (J h) (open symbols) obtained at 90° scattering angle. Data collected for equilibrium heated PVME of Mw = 12 800 g mol (squares) and of Mw = 19600gmol" (triangles) with 1.00 gL polymer concentration, b Corresponding hydrodynamic radius distributions obtained for PVME of Mw = 19 600 g mol for selected temperatures above and below the LCST. (Reprinted with permission from Ref. [147] copyright 2005 Elsevier)... 

Figure 21 Hydrodynamic radius distributions /[/ h) of different microgels in each step of the preparation for incorporating TOPO-stabiiized CdSe NPs into microgel STEM images of VCLyAEMA/lm(2.88%) microgel particle after loading with OD. Reproduced with permission from Shen, L. Pich, A. Fava, D. etal. J. Mater. Chem. 2008,18,763-770. Copyright 2008 RSC.

Fig. 8. Comparison of the typical hydrodynamic radius distribution f(Rh) of the polystyrene nanospheres prepared microwave irradiation and conventional heating method. Reprinted from (1997) Macromolecules 30 6388 [42] with permission...

Fig. 6 Plasmon absorption bands (a), hydrodynamic radius distribution (b) and TEM images (c) of Au NP s obtained at different flow rates of reactants. Conditions Co,[auci4] = 0-15 mM, Chiasc = 7.5 mM, temperature 25°C, scale bar in TEM images 20 nm...

Hydrodynamic radius distribution before and after the adsorption of PNIPAAM chains on particles. (Reprinted with permission from Gao, J., and Wu, C., MacromoJecules, 30, 6873-76, 1997, copyright (1997) American Chemical Society.)... 

Fig. 5.15 Hydrodynamic radius distribution of a solution mixture of linear reference and two hyperbranched chains (HB-3.3k, and HB-73k) in toluene at T = 25 °C after they arc extruded through small cylindrical pores (20 nm) under different flow rates, where Cr f = 40 mg/mL, CflB-S.Sk = 0-6 mg/mL and CHB-73k = 0-5 mg/mL...

Fig. 5.18 Hydrodynamic radius distributions of hyperbranched hyper-(PtBA36-PS55-PlBA36)600 in THF, good for both PrBA and PS blocks, and in cyclohexane, only selectively good from PtBA block...

Fig. 5.38 Hydrodynamic radius distributions f(Rh)] of HB-(S-S-PS)35 chains before and after 24-h DTT-induced reduction in DMF at 25 °C, where [DTT]/[-S-S-] = 18...

In dynamic LLS, the Laplace inversion of each measured intensity-intensity time correlation function G q, t) in the self-beating mode can result in a line-width distribution G(L). G(7) can be converted into a translational diffusion coefficient distribution G(D) or further a hydrodynamic radius distribution /(Rh) via the Stokes-Einstein equation, Rh = (kBTI6nrio)/D, where kB, T and qo are the Boltzmann constant, the absolute temperature and the solvent viscosity, respectively. The time correlation functions were analyzed by both the cumulants and CONTIN analysis. 

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