The rates of H/D exchange have been measured between (a) the activated olefins methylmethacrylate-
d5 and styrene-
d8, and (b) the Cr hydrides (
5-C
5Ph
5)Cr(CO)
3H (
2a), (
5-C
5Me
5)Cr(CO)
3H(
2b), and (
5-C
5H
5)Cr(CO)
3H (
2c). With a large excess of the deuterated olefin the first exchange goes tocompletion before subsequent exchanges begin, at a rate first order in olefin and in hydride. (Hydrogenationis insignificant except with styrene and CpCr(CO)
3H; in most cases, the radicals arising from the first H
transfer are too hindered to abstract another H
.) Statistical corrections give the rate constants
kreinit for H
transfer to the olefin from the hydride. With MMA,
kreinit decreases substantially as the steric bulk of thehydride increases; with styrene, the steric bulk of the hydride has little effect. At longer times, the reactionof MMA or styrene with
2a gives the corresponding metalloradical
1a as termination depletes theconcentration of the methyl isobutyryl radical
3 or the
-methylbenzyl radical
4; computer simulation of[
1a] as f(t) gives an estimate of
ktr, the rate constant for H
transfer from
3 or
4 back to Cr. These rateconstants imply a
G (50
C) of +11 kcal/mol for H
transfer from
2a to MMA, and a
G (50
C) of +10kcal/mol for H
transfer from
2a to styrene. The CH
3CN p
Ka of
2a, 11.7, implies a BDE for its Cr-H bondof 59.6 kcal/mol, and DFT calculations give 58.2 kcal/mol for the Cr-H bond in
2c. In combination thekinetic
G values, the experimental BDE for
2a, and the calculated
S values for H
transfer imply a C-HBDE of 45.6 kcal/mol for the methyl isobutyryl radical
3 (close to the DFT-calculated 49.5 kcal/mol), anda C-H BDE of 47.9 kcal/mol for the
-methylbenzyl radical
4 (close to the DFT-calculated 49.9 kcal/mol).A solvent cage model suggests 46.1 kcal/mol as the C-H BDE for the chain-carrying radical in MMApolymerization.