Random Branching

Disiloxanes, end-groups 13,17 —, preparation of 13-16 Distribution of branches, random 160... 

The chemical features that prohibit crystallinity are main chain flexibility (e.g., rotation), branching, random copolymers or low inter-polymer chain attraction. Normally, polymers are not miscible with each other and on cooling from the melt will separate into different phases. When miscibility is exhibited, e.g., poly(phenylene oxide) (PPO) and PS, crystallisation does not take place. 

Polyethyleneimine (PEI) (branched) Randomly branched, primary, secondary, and tertiary amino groups In vitro and in vivo transfections, including therapeutic genes (Boussif et al., 1995)... 

Figure 3. Representative structure of a highly branched random copolymer of ethylene and methyl acrylate produced by palladium catalysts.

G. Zifferer, /. Chem. Phys., 102, 3720 (1995). Shape Asymmetry of Star-Branched Random Walks with Many Arms. 

Random short branches Random long branches... 

Remark 2.1 The reaction-telegraph equation can also be derived as the kinetic equation for a branching random evolution, see [101]. 

Dunbar, S.R. A branching random evolution and a nonlinear hyperbolic equation. SIAM J. Appl. Math. 48(6), 1510—1526 (1988). http //locus.siam.org/SIAP/volume-48/art ... 

Fig. 1. Graft Copolymers (1) random graft copolymer (identical branches randomly distributed along the backbone) (2) regular graft copolymer (identical branches equally spaced along the backbone) (3) simple graft copolymer (3-miktoarm star copolymer) and (4) graft copolymer with two trifunctional branch points. Exact graft copolymers.

Although the expression in Table 8.1 for P(q,0) for the random-flight chain is specifically valid for linear chains, an approximation useful for branched random-flight chains is obtained if the expression Rl=dLI3 appearing in that P(q,0) for the linear chain is replaced by the R = gdL / 3, where the parameter g = [R / [R is known for a wide... 

Atactic Amorphous, does not crystallize. Methyl branches randomly placed along the chain. 

Poly(divinylstyrene-co-styrene), see also Poly(styrene), branched, random type, in group Benzene 25 37.2 1.8. 0.70 5 5-80 SD 602... 

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