Monomers defined

As an alternative to the ratios ni/n2 and [Mi]/[M2] in Eq. (7.15), it is convenient to describe the composition of both the polymer and the feedstock in terms of the mole fraction of each monomer. Defining F as the mole fraction of the ith component in the polymer and fj as the mole fraction of component i in the monomer solution, we observe that... 

The polymerization reactor contains a highly polydisperse distribution of molecules. The size of the characteristic polymer (with N monomers) defines the correlation length [see Eq. (6.142)] ... 

The letter d in front of the polymer name indicates that it was labeled with deuterium. The number of H atoms substituted by D per monomer is indicated for each system within curly brackets— d3 implies that 3 of the H atoms in the monomer (defined in Table 19.2) were replaced by D. If deuteration levels are not specified it indicates that the polymer was fully deuterated. 

Often the binding energy of a cluster is divided by the number of monomers, defining the average binding energy as... 

The complete calculation of correladcms can then be performed by a random phase method described in Chapter X. Here we quote the results. They can be expressed simply in terms of the Debye function go(N, q) for the scattering by an ideal chain of N monomers (defined in Section 1.1). Explicitly, one finds the simple formula... 

The form of Eq. (47) is analogous to the homopolymerization rate expression [Eq. (10)], with a copolymer-averaged rate coefficient for propagation (generalized for a system with Nmon different monomers) defined in Eq. (50). 

This symmetry-lowering transformation upon heating was confirmed by real-space images and by Fourier analysis of the system. We calculated peak intensities I j, k, 1) of the Fourier transform of the A monomers defined by... 

The connectivity of the linear chain is represented by an interaction potential Ubond between two monomers i and i + I, which are two neighboring monomers in the chain localized at r, and r,+i respectively. For branched, dendritic, or nonlineal polymer in general the interaction potential is similar but the order of connection of monomers defines the molecule. 

The average number n, of s-clusters (normalized as number per f-fiinctional monomer) defines at the gel point the critical exponent r and the critical ampUtude qo by... 

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