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either by H-abstraction from a position where the H-atom is more loosely bound,
or add to double bonds. The polymer radical experiences a very high local con-
centration of these functional groups as long as the polymer chains are f flex-
ible, and the rate of this (
intra
molecular) reaction will be much higher than an
equivalent
inter
molecular reaction of low molecular weight models at the same
concentration. In a charged polymer, the rate of this process decreases with in-
creasing charge of the polymer due to a lower f flexibility of segments. On the
other hand, since this process is kinetically of first order while radical recombi-
nation processes are of second order, such a process may only become prominent
when the polymer is highly charged, that is, when the bimolecular termination
becomes slow. Two competing processes are discussed here, H-transfer and
-
fragmentation. In DNA, there is also the possibility that radicals may add intra-
molecularly to a double bond at one of the bases. Evidence for such a reaction is
not yet on firm ground, but this possibility should be kept in mind.
β
9.4.1
Intramolecular H-Transfer
In poly(vinyl alcohol),
•
OH abstracts preferentially a hydrogen in
-position to
the hydroxyl group (forming the tertiary radical, 70%) but also from the methy-
lene group (forming the secondary radical, 30%) [reactions (1) and (2)]. The C
α
H
BDE of the secondary hydrogen is somewhat higher than that of the tertiary hy-
drogen in the
−
group, and thus the secondary radicals undergo the H-ab-
straction reaction (3) (
k
3
= 460 s
−
1
; von Sonntag et al. 1999; see also Chap. 6.5).
Whether the reaction occurs with the first available hydrogen [five-membered
−
CHOH
−
transition state as depicted in reaction (3)] or over a larger distance, is as yet un-
known. The rate of this H-transfer is only that fast, because it occurs as an
intra-
molecular process. In order to compare this first-order rate with known second-
order processes, one may take the concentration of neighboring
groups
in the polymer as 10 mol dm
−
3
, that is, the second-order rate constant should not
exceed 50 dm
3
mol
−
1
s
−
1
by much. For comparison, the somewhat more exother-
mic H-transfer from 2-PrOH to the
•
CH
2
-CHOH-CH
3
radical [H-abstraction by
a primary alkyl radical as compared to a secondary one as in reaction (3)] has a
rate constant of 430 dm
3
mol
−
1
s
−
1
(Burchill and Wollner 1972).
In poly(acrylic acid), two radicals are also formed upon
•
OH-attack. Again,
the secondary radical undergoes
intra
molecular H-abstraction, leading to the
tertiary radical [reaction (4); Ulanski et al. 1996c].
−
CHOH
−
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