respect to the plane of the ring. The methyl and phenyl
derivaties 2a and 3a were found to have seven stable
diastereomers each (see the Supporting Information (SI),
Figures S1 and S2). The greater number of isomers in these
cases as compared to 1a is due to the two different orienta-
tions of the ꢀR group attached to the carbon atom next to
the oxygen. The prefix cis or trans is used to differentiate the
relative orientation of ꢀR with respect to the SdO bond.
For a particular ꢀR, the individual cis isomers can inter-
convert among themselves and so can the trans isomers, but
the cis isomers cannot convert to the trans isomers and vice
versa without cycloreversion to the 1,3-diene and SO2. In all
cases, 1a, 2a, and 3a, IRC calculations and comparison of
Gibbs free energy values of the transition state (TS) struc-
tures suggest that two of the stereoisomers, namely the cis-
boat-ax (boat-ax in case of 1a) and trans-boat-eq (boat-eq
in case of 1a) stereoisomers have significantly lower bar-
riers for cycloreversion than the other isomers and are the
only ones likely to be mechanistically relevant. These in-
volve the endo or exo stereoisomers of the TS structures
rather than planar TS structures (see the SI), which corre-
spond to higher energy pathways. Moreover, the diene
formed on cycloreversion of the sultine is in the (E) form,
consistent with prior studies of hetero-DielsꢀAlder reac-
tions.6 The structures of the cis-boat-ax and trans-boat-eq
sultines, their cycloreversion products, and corresponding
TSs for R = Ph are shown in Figure 2. The reaction
energies (ΔErxn), Gibbs free energies (ΔGrxn), and Gibbs
free-energy barriers (ΔG‡) of the mechanistically relevant
species calculated at 37 °C are presented in Table 1.
Table 1. Calculated Thermodynamic and Kinetic Data at 37 °C in
kcal/mol for Conversion of Benzosultines 1aꢀ3a or Sulfones 1cꢀ3c
To Produce 1,3-Dienes 1bꢀ3b Respectively and Sulfur Dioxidea
b
b
reactant species
ΔErxn
ΔGrxn
ΔG‡c
ΔΔG‡d
boat-ax-1a
boat-eq-1a
1c
33.9
35.4
37.6
36.3
38.2
39.8
34.5
34.6
37.6
15.3
16.4
18.3
16.6
18.4
19.6
15.9
16.3
18.6
29.5
31.0
33.5
28.1
30.4
32.9
26.3
27.9
29.5
0
1.5
4.0
cis-boat-ax-2a
trans-boat-eq-2a
cis-2c
ꢀ1.4
ꢀ0.9
3.4
cis-boat-ax- 3a
trans-boat-eq-3a
cis-3c
ꢀ3.2
ꢀ1.5
0
a The data are for two lowest barrier pathways for benzosultines and
the lowest barrier pathway for sulfones. Energy values in bold correspond to
the most favorable pathway (lowest activation barrier) for the cyclorever-
sion of 1aꢀ3a. b The significant difference between ΔErxn and ΔGrxn is
because of the increase in the number of molecular species during the cyclo-
reversion leading to a large translational and rotational entropy contribu-
tion to the driving force of the reaction. c Vibrational entropy and zero-point
energy contributions lower the reaction barriers as compared to the pure
electronic barrier (see the Supporting Information, Tables S1ꢀS3). This is
because of the relatively floppy nature of the transition state with respect to
the reactant, which leads to a lower zero-point energy and higher vibrational
entropy. d Calculated by using boat-ax-1a as the reference.
cycloreversion barriers as compared to 1a are desired, and
the literature suggests that a way to achieve this is by
suitable substitution on the carbon atom adjacent to
oxygen in the sultine ring.6 Keeping this design principle
in mind, we calculated the Gibbs free energy barriers for
the cycloreversion of the unsubstituted and substituted
benzosultines 1a, 2a, and 3a to the corresponding dienes
1b, 2b, and 3b, and SO2 using ab initio theoretical methods.
The optimized structures, energies, vibrational frequencies,
and intrinsic reaction coordinates (IRCs) were all calculated
at the MøllerꢀPlesset second-order perturbation (MP2)
level of theory with the 6-31G(d,p) basis set. All calculations
were performed using the GAMESS program package.7
Compound 1a was found to have four stable conforma-
tions (Figure 1). In two of the conformers, the six-membered
sultine ring is in the pseudochair conformation, while, in the
two others, the sultine ring is in the pseudoboat conforma-
tion. The notation “ax” (axial) or “eq” (equatorial) in the
figure labels refers to the orientation of the SdO bond with
Figure 1. Stable conformations of 1a.
The most favorable path for cycloreversion of the benzo-
sultines is through the endo (E) TS starting from the cis-boat-
ax stereoisomers. For this stereoisomer, comparing across 1a,
2a, and 3a, we can see that methyl substitution (2a) reduces
the cycloreversion barrier by 1.4 kcal/mol possibly due to the
electron-donating effect of a methyl group, while phenyl sub-
stitution (3a) reduces the barrier by 3.2 kcal/mol possibly due
to extended conjugation (Table 1). At 37 °C, this barrier
reduction corresponds to an ∼10-fold rate enhancement in
the rate of SO2 generation in the case of methyl substitution
(2a) and an ∼200-fold rate enhancement in the case of
phenyl substitution (3a) as compared to 1a.
(6) (a) Vogel, P.; Sordo, J. A. Curr. Org. Chem. 2006, 10, 2007. (b)
Roversi, E.; Monnat, F.; Vogel, P.; Schenk, K.; Roversi, P. Helv. Chim.
Acta 2002, 85, 733.
(7) (a) Gordon, M. S.; Schmidt, M. W. In Theory and Applications of
Computational Chemistry: The First Forty Years; Dykstra, C. E., Frenking,
G., Kim, K. S., E.Scuseria, G., Eds.; Elsevier: Amsterdam, 2005; p 1167. (b)
Schmidt, M. W.; Baldridge, K. K.; Boatz, J. A.; Elbert, S. T.; Gordon, M. S.;
Jensen, J. H.; Koseki, S.; Matsunaga, N.; Nguyen, K. A.; Su, S.; Windus,
T. L.; Dupuis, M.; Montgomery, J. A. J. Comput. Chem. 1993, 14, 1347.
1,3-Dienes such as 1b undergo cheletropic addition of
SO2 to produce a sulfone (1c). As in the case of sultines,
calculationsof1cꢀ3cwereperfomed(Table1andFigure2;
see SI Figures S3ꢀS5). From IRC calculations, we found
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