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Callister - An introduction - 8th edition

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608 • Chapter 15 / Characteristics, Applications, and Processing of Polymers<br />

Three distinct stages—initiation, propagation, and termination—are involved in<br />

addition polymerization. During the initiation step, an active center capable of propagation<br />

is formed by a reaction between an initiator (or catalyst) species and the<br />

monomer unit.This process has already been demonstrated for polyethylene (Equation<br />

14.1), which is repeated as follows:<br />

H<br />

H<br />

H<br />

H<br />

R· C<br />

C<br />

R<br />

C<br />

C·<br />

(15.5)<br />

H<br />

H<br />

H<br />

H<br />

Again, R represents the active initiator, and is an unpaired electron.<br />

Propagation involves the linear growth of the polymer chain by the sequential<br />

addition of monomer units to this active growing chain molecule. This may be represented,<br />

again for polyethylene, as follows:<br />

H<br />

H<br />

H<br />

H<br />

H<br />

H<br />

H<br />

H<br />

R<br />

C<br />

C· C<br />

C<br />

R<br />

C<br />

C<br />

C<br />

C·<br />

(15.6)<br />

H<br />

H<br />

H<br />

H<br />

H<br />

H<br />

H<br />

H<br />

Chain growth is relatively rapid; the period required to grow a molecule consisting<br />

of, say, 1000 repeat units is on the order of 10 2 to 10 3 s.<br />

Propagation may end or terminate in different ways. First, the active ends of<br />

two propagating chains may link together to form one molecule according to the<br />

following reaction: 6<br />

H<br />

H<br />

H<br />

H<br />

H<br />

H<br />

H<br />

H<br />

H<br />

H<br />

H<br />

H<br />

H<br />

H<br />

H<br />

H<br />

R<br />

( C<br />

C ) m C C· ·C C ( C C ) n R<br />

R ( C C ) m C C C C ( C R<br />

(15.7)<br />

H<br />

H<br />

H<br />

H<br />

H<br />

H<br />

H<br />

H<br />

H<br />

H<br />

H<br />

H<br />

H<br />

H<br />

H<br />

H<br />

H<br />

H<br />

H<br />

H<br />

H<br />

H<br />

H<br />

H<br />

H<br />

H<br />

H<br />

H<br />

H<br />

H<br />

H<br />

H<br />

R<br />

( C<br />

C ) m C C· ·C C ( C C ) n R<br />

R<br />

( C<br />

C ) m C C H C C ( C C ) n R<br />

H<br />

H<br />

H<br />

H<br />

H<br />

H<br />

H<br />

H<br />

H<br />

H<br />

H<br />

H<br />

H<br />

C ) n<br />

(15.8)<br />

The other termination possibility involves two growing molecules that react to form<br />

two “dead chains” as 7<br />

H<br />

H<br />

thus terminating the growth of each chain.<br />

Molecular weight is governed by the relative rates of initiation, propagation,<br />

and termination. Ordinarily, they are controlled to ensure the production of a polymer<br />

having the desired degree of polymerization.<br />

6 This type of termination reaction is referred to as combination.<br />

7 This type of termination reaction is called disproportionation.

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