Chain degree of polymerization

The macromonomers were prepared by anionic polymerization of 2-vinylpyridine followed by reaction with ethylene oxide and methacrylic acid chloride [111] as shown in Scheme 1. MALDI-TOF mass spectroscopy was utilized in order to determine the absolute molar mass and the degree of end-functionalization as given in Table 4. The sample code MM-PVPXY comprises the polymerizable unit (MM=methacrylate), the side chain (PVP=polyvinylpyridine) and the side chain degree of polymerization XY. 

A series of cylindrical brush polymers was synthesized with a polymethacrylate (PMA) main chain and polystyrene (PS) side chains of various side chain molar masses, M , or side chain degrees of polymerization, 6 < < 33. The aim was... 

Fig. 17 Comparison of the experimental and simulated persistence lengths normalized to the length of one repeat unit, as function of the number-average side chain degree of polymerization Both the simulated and the experimental persistence lengths were derived from the simulated or measured cross-sectional radii of gyration, /fgc, according to Eq. (5) simulation (solid curve), measurements in toluene (red circles and triangles), measurements in cyclohexane black squares)...

Cylindrical brush polymers [81-88] constitute a prominent class of worm-like cylindrical polymers, which consist of a long main chain (degree of polymerization... 

Let us start with a molten system of chains (degree of polymerization N ) to which we add a very weak concentration of solvent molecules. We assume that the stem isothermal— i.e., the solvent-monomer interaction is exactly equal to the moiHMner-monomer interaction. Of course, if the solvent molecules are extremely dilute, they behave as a gas of independent particles. However, here we go one step further to consider the interactions between two solvent molecules. 

There is one sol-gel transition for which the tree approximation is expected to give the correct critical behavior near the threshold. This is the case where we start from a dense system of linear chains (degree of polymerization fV 1) and where we crosslink them. A typical practical example is the vulcanization of rubbers. ... 

Figure 21. PRISM/R-MPY predictions " for the amplitude of the composition dependence of the effective interaction parameter of an equimolar, symmetric binary mixture as a function of chain degree of polymerization. The spatial range parameter of the Yukawa tail potential is a = 0.4. Except as noted, all the curves are based on the compressibility route to the thermodynamics (F.R. denotes free energy route), are at the critical point 2),...

The present model also predicts a lower critical value of chain degree of polymerization, Ncj below which the polymer chains are not entangled according to our definition of the tube. In references (8,9) we showed that the lower critical value satisfies... 

In semidilute solutions, the polymer volume fraction is low compared to a melt but the polymer chains are overlapped. We are particularly interested in solution concentrations where the chains are entangled and not simply overlapped. We therefore require that the chain degree of polymerization be larger than the critical chain length for entanglements in a melt of pure... 

Figure 3 Effect of the radios of curvature (a) and degree of polymerization of surface-grafted chains (b) on the segment distribution for spherical particle brushes. In all cases/= -0.5. (c) and (d) Thickness of particle brushes as a function of chain degree of polymerization in athermal solvents for <7= 0.1 nm" (c) and CT= 0.005 nm" (d). Open symbols represent hydrodynamic heights filled symbols represent average heights. Adapted with permission from...

Figure 1. The interface between the two elastomers is strengthened by grafting some extra A chains (degree of polymerization, N) to the surface of the B elastomer.

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