High-level ab initio molecular orbital calculations at the
G2(+) level of theory have been carried out for
the six non-identity nucleophilic substitution reactions,
Y- + CH3X → YCH3 +
X-, for Y, X = F, Cl, Br, and I.
Central barrier heights
(ΔH
⧧
cent) for reaction in the
exothermic direction vary from 0.8 kJ mol-1
for Y = F, X = I
up to 39.5 kJ mol-1 for Y = Cl, X = Br
(at 0 K), and are in most cases significantly lower than those for the
set
of identity SN2 reactions X- +
CH3X → XCH3 + X- (X =
F−I). Overall barriers
(ΔH
⧧
ovr) for reaction in
the
exothermic direction are all negative (varying from −68.9 kJ
mol-1 for Y = F, X = I to −2.3 kJ
mol-1 for Y = Br,
X = I), in contrast to the overall barriers for the identity
reactions where only the value for X = F is negative.
Complexation enthalpies (ΔH
comp) of the
ion−molecule complexes Y-···CH3X
vary from 30.4 kJ mol-1 for Y =
F,
X = I to 69.6 kJ mol-1 for Y = I, X = F
(at 298 K), in good agreement with experimental and earlier
computational
studies. Complexation enthalpies in the reaction series
Y- + CH3X (Y = F−I, X = F, Cl, Br, I)
are found to
exhibit good linear correlations with halogen electronegativity.
Both the central barriers and the overall barriers
show good linear correlations with reaction exothermicity, indicating a
rate−equilibrium relationship in the Y-
+
CH3X reaction set. The data for the central barriers
show good agreement with the predictions of the Marcus
equation,
though modifications of the Marcus equation that consider overall
barriers are found to be less satisfactory. Further
interesting features of the non-identity reaction set are the good
correlations between the central barriers and the
geometric looseness (%L
⧧), geometric
asymmetry (%AS), charge asymmetry (Δq(X−Y)), and bond
asymmetry (ΔWBI)
of the transition structures.