Macromolecules
ARTICLE
initially assumed as kexBr = 1.0 ꢁ 106 sꢀ1 and kexCl = 1.8 ꢁ 105 sꢀ1
and then subsequently varied to evaluate their influence on β.
’ ASSOCIATED CONTENT
Supporting Information. Experimental section, 1H
The value of kex was varied from 108 to 10ꢀ2 sꢀ1 with a
Br
S
b
NMR spectrum of all alkyl halides, and kinetic plots used to
evaluate kact, kionic, and kHE. This material is available free of
constant value Kex = 5.6 in the simulation using kineticꢀp1ara-
meters of MBrP. The β value stayed constant for kexBr > 1 s but
Br
decreased to 3.2 ꢁ 10ꢀ2 only for kex = 1 ꢁ 10ꢀ2 sꢀ1
(Figure 13). The speciation studies33 indicate the dissociation
constants of halides from XꢀCu(II)/L species in the range Kdis ca.
10ꢀ5ꢀ10ꢀ6 M. Assuming that association proceeds with the
’ AUTHOR INFORMATION
Corresponding Author
*E-mail: km3b@andrew.cmu.edu.
diffusion controlled rate kass = 109 Mꢀ1 ꢀ1, the dissociation
s
should occur with the rate constant kdiss = 103 to 104 sꢀ1. Of
course, the halide exchange at Cu(II) center may occur faster,
without full halide dissociation. Regardless, it seems that values of
β < 1 are not caused by slow halide exchange but rather by some
other reactions.
’ ACKNOWLEDGMENT
This research was supported by the National Science Founda-
tion (CHE-10-26060) and the members of the CRP Consortium
at Carnegie Mellon University.
The simulations were started from the simplest model in
which only the forward reactions of halogen exchange were
concerned (Figure 14A). In this case, β value is equal to 1
(Figure 14B), indicating that each activation converts one alkyl
bromide to one alkyl chloride irreversibly. However, when the
reverse reactions were added (Figure 15A), the β value was
decreased from 1 to 0.76 as shown in Figure 15B. Finally, radical
termination was included in the simulation (Scheme 8) and
caused no further difference to β value (Figure 16A). Simulated
β values given by different model reactions are summarized in
Figure 16B and are slightly smaller than the experimental value of
β = 0.85 (Table 3). The small difference may also be due to a
limited accuracy of previously measured kact and kdeact values.
However, some β values in Tables 1ꢀ3 are smaller than 0.76,
and it was of interest to evaluate how various kinetic parameters
can affect β. Therefore, the values of kdeactBr, kdeactCl, kactCl, and kt
were varied one at a time to study the influence of deactivation,
activation, and termination on β value (Figure 17). The following
trends were observed: (1) the larger kdeactBr, the smaller β value
(Figure 17A); (2) the larger kdeactCl, which contributes to the
generation of alkyl chlorides, gives a larger β value (Figure 17B);
(3) the larger kactCl, which regenerates radical from alkyl chlor-
ides, the smaller β value (Figure 17C); (4) kt has essentially no
effect on the β values in a reasonable range of kt values. However,
when radical termination is significant (e.g., in systems with high
KATRP), β could be affected by termination (Figure 17D); (5) β
value is more sensitive to the changes of kdeactBr and kdeactCl and
less sensitive to the change of kactCl and kt.
’ REFERENCES
(1) Simal, F.; Jeusette, M.; Leclere, P.; Lazzaroni, R.; Roose, P.
J. Adhes. Sci. Technol. 2007, 21, 559–574.
(2) Creton, C.; Hu, G. J.; Deplace, F.; Morgret, L.; Shull, K. R.
Macromolecules 2009, 42, 7605–7615.
(3) Matsui, T.; Miwa, Y. J. Appl. Polym. Sci. 1999, 71, 59–66.
(4) Nivasu, V. M.; Reddy, T. T.; Tammishetti, S. Biomaterials 2004,
25, 3283–3291.
(5) Jain, S.; Bates, F. S. Science 2003, 300, 460–464.
(6) Li, W. W.; Min, K.; Matyjaszewski, K.; Stoffelbach, F.; Charleux,
B. Macromolecules 2008, 41, 6387–6392.
(7) Braunecker, W. A.; Matyjaszewski, K. Prog. Polym. Sci. 2007, 32,
93–146.
(8) Lin, C. Y.; Coote, M. L.; Gennaro, A.; Matyjaszewski, K. J. Am.
Chem. Soc. 2008, 130, 12762–12774.
(9) Ando, T.; Kamigaito, M.; Sawamoto, M. Macromolecules 2000,
33, 2819–2824.
(10) Shipp, D. A.; Wang, J.-L.; Matyjaszewski, K. Macromolecules
1998, 31, 8005–8008.
(11) Coessens, V.; Pintauer, T.; Matyjaszewski, K. Prog. Polym. Sci.
2001, 26, 337–377.
(12) Matyjaszewski, K.; Xia, J. Chem. Rev. 2001, 101, 2921–2990.
(13) Tsarevsky, N. V.; Matyjaszewski, K. Chem. Rev. 2007, 107,
2270–2299.
(14) Oh, J. K.; Drumright, R.; Siegwart, D. J.; Matyjaszewski, K. Prog.
Polym. Sci. 2008, 33, 448–477.
(15) Sheiko, S. S.; Sumerlin, B. S.; Matyjaszewski, K. Prog. Polym. Sci.
2008, 33, 759–785.
(16) Gao, H.; Matyjaszewski, K. Prog. Polym. Sci. 2009, 34, 317–350.
(17) Matyjaszewski, K.; Shipp, D. A.; Wang, J. L.; Grimaud, T.;
Patten, T. E. Macromolecules 1998, 31, 6836–6840.
(18) Matyjaszewski, K.; Shipp, D. A.; McMurtry, G. P.; Gaynor,
S. G.; Pakula, T. J. Polym. Sci., Part A: Polym. Chem. 2000, 38, 2023–2031.
(19) Matyjaszewski, K.; Paik, H.; Shipp, D. A.; Isobe, Y.; Okamoto,
Y. Macromolecules 2001, 34, 3127–3129.
These simulations indicate that the β value is mainly affected
Br
by kdeactCl and kdeactBr. The larger kdeactCl and the smaller kdeact
provide a β closer to 1. The values of kexBr have no effect on β, if
they are larger than 1 sꢀ1
.
’ SUMMARY
The contributions of a radical pathway (atom transfer) and an
ionic pathway (SN2 reaction) to halogen exchange in ATRP were
quantitatively studied for seven alkyl halides and three Cu(I)-
(L)Cl complexes. Radical pathway dominates the HE process for
3° and 2° alkyl bromides with more active complexes such as
Cu(I)(TPMA)Cl. Ionic pathway, however, becomes important
for 1° alkyl bromides and less active complexes. These studies
also revealed that the dissociation of halide anion from Cu(I)(L)X
and Cu(II)(L)X2 complexes is affected by the structure of copper
complexes. In addition, the reverse reactions such as deactivation
of alkyl bromides and activation of alkyl chlorides in the radical
pathway reduce the efficiency of halogen exchange.
(20) Tang, C.; Kowalewski, T.; Matyjaszewski, K. Macromolecules
2003, 36, 1465–1473.
(21) Huang, J.; Jia, S.; Siegwart, D. J.; Kowalewski, T.; Matyjaszewski, K.
Macromol. Chem. Phys. 2006, 207, 801–811.
(22) Ramakrishnan, A.; Dhamodharan, R. Macromolecules 2003,
36, 1039–1046.
(23) Stoffelbach, F.; Poli, R. Chem. Commun. 2004, 2666–2667.
(24) Poli, R.; Stoffelbach, F.; Maria, S.; Mata, J. Chem.—Eur. J. 2005,
11, 2537–2548.
(25) Seeliger, F.; Matyjaszewski, K. Macromolecules 2009, 42, 6050–
6055.
(26) Goto, A.; Fukuda, T. Macromol. Rapid Commun. 1999, 20,
633–636.
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dx.doi.org/10.1021/ma201035u |Macromolecules 2011, 44, 7546–7557