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142 Advances in Polymer Science Editorial Board: A. Abe. A.-C ...

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<strong>142</strong> K. Ito, S. Kawaguchi<br />

4.1<br />

Homopolymerization<br />

Radical homopolymerization k<strong>in</strong>etics of some typical macromonomers, such as<br />

those from PSt, 23, 24 [30, 31], and PMMA, 25 [32, 33], have been studied <strong>in</strong> detail<br />

by means of ESR methods.<br />

(23)<br />

(24)<br />

(25)<br />

The k<strong>in</strong>etics apparently follow the conventional square-root equation for the<br />

overall rate of polymerization, R p:<br />

where k p and k t are the rate constants of propagation and term<strong>in</strong>ation, respectively,<br />

k d and f are rate constants of <strong>in</strong>itiator decomposition and <strong>in</strong>itiation efficiency,<br />

respectively, and [I] and [M] are the concentrations of <strong>in</strong>itiator and monomer,<br />

respectively. Therefore, we also have the conventional expression for the<br />

k<strong>in</strong>etic cha<strong>in</strong> length, n:<br />

where DP n ˚ is an <strong>in</strong>stantaneous number-average degree of polymerization assum<strong>in</strong>g<br />

no cha<strong>in</strong> transfer and x is the fraction of disproportionation <strong>in</strong> the term<strong>in</strong>ation<br />

step.<br />

Table 1 [1] summarizes the relevant k<strong>in</strong>etic parameters. Clearly, the polymerization<br />

of macromonomers, 23–25, is characterized by very low k t values and by<br />

less reduced k p values, compared to those of the correspond<strong>in</strong>g conventional<br />

monomers such as styrene and MMA. This means that the propagation <strong>in</strong>volv<strong>in</strong>g<br />

the macromonomer and the multibranched radical is slightly less favored<br />

(1)<br />

(2)

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