Dm. Huang et al., A THEORETICAL-STUDY OF PROPAGATION RATE COEFFICIENTS FOR METHACRYLONITRILE AND ACRYLONITRILE, Macromolecules, 31(16), 1998, pp. 5175-5187
The propagation rate coefficients for methacrylonitrile (MAN) and acry
lonitrile (AN) were calculated using transition state theory and high-
level ab initio molecular orbital theory. The calculations take partic
ular account of internal rotations in the transition states. Frequency
factors and rotational potentials were found to be insensitive to the
level of theory used (except that the semiempirical AM1 method does n
ot perform very well), because of cancellations in the partition funct
ion ratio in transition state theory; however, two of the internal rot
ations studied were found to be sensitive to the chain length of the r
adical used in the calculations. Activation energies were found to be
extremely sensitive to the level of theory. At the highest level of th
eory used, the calculated frequency factor for MAN was slightly lower
than experiment, while the activation energy was 2.6 kJ mol(-1) higher
than experiment. Theoretical comparison of propagation of MAN and AN
was used to explain differences observed experimentally in activation
energies and frequency factors of methacrylates and corresponding acry
lates. The higher frequency factors for methacrylates are largely due
to hindrance caused by the methyl groups to the three transitional mod
es in the transition state which correspond to the three external rota
tional degrees of freedom of the monomer in the reactants (but not a r
esult of increased hindrance to methyl rotation itself in the transiti
on state). The higher activation energies of methacrylates arises from
differences in hindrance and loss of delocalization in the transition
states of the methyl-substituted and unsubstituted monomers.