Figure 4. Arrhenius plot of the rearrangement of 1 established by
1H NMR (ODCB-d4), R2 ) 0.999.
Figure 5. Dynamic DSC of 1. Scan rate is 10 °C/min.
(where R ) alkyl or aryl). Compared to high level ab initio
theory, density functional theory is known to overestimate
electron-electron repulsions in the S-N bond,15 which led
to significant overestimation of the SO2-N bond length. The
calculated S-N bond energy of Me2N-SO2Me is 71.8 kcal/
mol at the G2 level, whereas it is only 47.4 kcal/mol at
B3LYP/6-31G*+ZPVE.16,17 Apparently the tosyl group
rearrangement is facilitated by strong resonance stabilization
of the transition state, i.e., scission of the S-N bond in 1
requires 16.5 kcal/mol less energy than in Me2N-SO2Me (at
B3LYP/6-31G*+ZPVE). Since a G2 level calculation pre-
dicts an S-N bond energy of 71.8 kcal/mol for Me2N-SO2-
Me, we believe that the dissociation of the same bond in 1
in the gas phase requires only ca. 55 kcal/mol.17 At the
B3LYP/6-31G*+ZPVE level, the intermediate 3 and product
2 are more stable than the reactant 1 by 24.2 and 35.3 kcal/
mol, respectively, while G2 corrected8,18 energies are 16.8
and 34.4 kcal/mol, respectively. The latter value is in good
agreement with the DSC experiment. Thus, both steps of
the rearrangement are thermodynamically favored.
0.999, T ) 375-415 K), Figure 4. The second-order rate
constant was determined to be 1.41 × 10-3 M-1 s-1 at 394
K, with an activation energy of 32.4 kcal/mol. Despite data
acquisition at multiple temperatures, no intermediate was
detected during the course of the rearrangement. In aromatic
solvents the reaction is second-order, indicating that the
mechanism is different from the nonaromatic solvent studied
(decalin), where the rearrangement is first-order in reactant.14
The rearrangement occurred much faster when 1 was
heated neat, compared to solution. According to differential
scanning calorimetry (DSC), 1 melts around 89 °C, followed
by a very exothermic process (ca. 34 kcal/mol, Figure 5).
Undoubtedly the exothermic process is due to the energy
released as a result of the rearrangement.
To further understand this unusual transmogrification, we
have used quantum mechanical calculations.8 Since this
rearrangement involves the breaking of an S-N bond without
the assistance of acid or base, the question that arises is what
is the S-N bond energy? Unfortunately, to the best of our
knowledge, there are no experimental or theoretical data on
the value of the SO2-N bond energy in RSO2-NR2 systems
To conclude, we have discovered the first uncatalyzed
thermal sulfonynamide to sulfone rearrangement and the first
rearrangement of an arylsulfonyl group from a sulfonamide
to keteneimine.
(14) Surprisingly, the activation energy was positive (+8 eu) in this
bimolecular rearrangement. A possible speculation might be a rearrangement
that gives an intermediate 3, which is reversibly trapped in more polar
solvents by a second molecule of starting material (zwiterionic [2 + 2]
reaction), giving a second intermediate that falls apart to product plus
reactant. Thus, the PMB group might either rearrange directly from linear
ketoimine in nonpolar solvents and lead to ketoimine intermediate, or the
PMB rearrangement might be assisted by [2 + 2] reaction in more polar
solvent (which may not necessarily lead to a cyclobutene but might just
begin to form a new C-C bond, by coordination, that leads to bending of
the ketoimine, concomitantly assisting the PMB rearrangement). Hence,
the activation barrier for the latter case is lowered and no ketoimine
intermediate is observed. We note that this suggestion will require further
investigation.
Acknowledgment. We are grateful to Dr. S. I. Khan for
X-ray crystallographic analysis, Prof. Ohyun Kwon (UCLA)
and Prof. William J. Leigh (McMaster University) for helpful
discussions, and Dr. R. E. Taylor for help with NMR
measurements (Department of Chemistry and Biochemistry,
(15) Bharatam, P. V.; Gupta, A.; Kaur, D. Tetrahedron 2002, 58, 1759-
1764.
(16) Similarly, B3LYP/6-31G*+ZPVE predicts the S-N bond energy
of Me2N-SMe to be 47.0 kcal/mol, whereas G2 theory predicts 61.1 kcal/
mol.
(17) We note that our calculations are for heterolytic bond cleavage in
gas phase. In contrast, in solution, we expect the dissociation energy to be
lower as a result of solvation of the intermediate. We do not suggest that
the reaction proceeds via complete S-N bond cleavage in the TS. However,
we believe that reduced S-N bond energy in 1 or in Me2N-SO2Me
contributes to the low temperature of the rearrangement in Scheme 1.
(18) The large size of these molecules forbids studying them at the ab
initio level of theory, so we used B3LYP/6-31G*+ZPVE for 1, 2, and 3
with corrections from examination of model compounds 1M, 2M, and 3M
at both G2 and B3LYP/6-31G*+ZPVE levels of theory.
Org. Lett., Vol. 7, No. 5, 2005
785