The electrophilic addition of Br2 to
specifically deuterated cyclohexenes
(1
−
5) was studied
methanol
(MeOH) by stopped-flow kinetics in order to determine a deuterium
kinetic isotope effect (DKIE) for the
various isotopomers. The DKIE for bromination of the isotopomers
was also determined by a mass spectrometric
method where exactly known quantities of two of the cyclohexenes were
incompletely brominated in MeOH
and where the ratio of the remaining isotopomers was determined. A
computational study using density
functional theory (DFT) was undertaken to examine the equilibrium
isotope effect (EIE) for the equilibrium
involving the formation of the cyclohexenyl bromonium ion from
cyclohexene plus Br2. The agreement
between
experiment and theory is remarkably good and indicates that, for
perdeuteriocyclohexene, the inverse DKIE
and EIE of ∼1.5 can be partitioned two-thirds to the two vinyl CH's
and one-third to the four homoallylic
CH's, the four allylic CH's contributing negligibly to the overall
effect. The computational study also indicates
that there is extensive mixing of the CC and CH vibrational modes and
that it is not possible to identify all the
individual modes responsible for the large inverse EIE. Analysis
of the computational data indicates that the
isotopic effects may be divided into two groups; those associated with
the deuteriums on the vinyl positions
and those associated with the remaining allylic and homoallylic
carbons. In the former, the inverse EIE is due
to the changes in all bending modes. For the latter, the
isotopically sensitive modes are those of all ten C−H
stretches with changes in bending frequencies being unimportant.
The bending vibrational modes were found
to be strongly coupled.