mechanisms operate in the PET and acid catalyzed
processes.
The PET reactions of oxetane 1 were submitted to
complete a formal cycloreversion to the starting materials
employed for the PaternoꢀB u€ chi synthesis of 1) proceeds
ꢀ
1
through a barrier of only 5.6 kcal mol . The reaction path
15
•þ
theoretical calculations at the UMP2(FC)/6-31G(d) level.
Due to the intermediacy of positively charged species,
solvent effects (acetonitrile) were considered using Tomasi’s
toward 5 þ 6, which constitutes a formal metathesis
cycloreversion, shares the starting stationary point (IN21)
with ring enlargement to oxazine 4 . From this saddle
point, the energy barrier for C ꢀC bond breaking, to give
•
þ
1
6
polarized continuum model (PCM).
The stationary points found along the potential energy
3
4
•
þ
ꢀ1
5 þ 6 through TS24, is 32.8 kcal mol , which rules out
the possibility of formal metathesis cycloreversion. In the
•
þ
surface (PES) of the OꢀC and CꢀC bond breaking of 1
are depicted in Scheme 1, together with the corresponding
relative energies. Energy profiles of selected reaction paths
can be found in Figure 4. Since energy barriers for bond
presence of acetonitrile as solvent, intermediate IN21 un-
dergoes a nucleophilic attack at C giving rise to IN22 via
2
TS22. In the energy profile, TS22 is below IN21; however,
considering the entropy contribution due the bimolecular
ꢀ
1
cleavage involving C are between 7 and 15 kcal mol
4
ꢀ
1
higher than those involving C , they will not be discussed
2
further.
nature of this step, a free energy barrier of 5.3 kcal mol is
obtained. A conformational equilibrium is established
between IN22 and IN23 before intramolecular nucleophilic
•þ
attack, which yields 4 . No transition state TS23 could
be found over the PES at UMP2(FC) level; however, this
stationary point was confirmed by using density funcional
methodogy at UB3LYP/6-31G(d)/PCM (acetonitrile)
or UM06-2X/6-31G(d)/PCM (acetonitrile) levels. Back-
electron transfer (BET) could take place from the thiapyr-
•þ
anyl radical to 4 or to IN23/IN24 to give an alkoxide,
which is an excellent nucleophile and would cyclize onto
the electron-deficient carbon of the nitrilium moiety in an
essentially barrierless process.
To further the energetic discussion, both TS12 and TS22
are below the transition states of the first step. Therefore,
the kinetic control exerted by the initial ring opening,
together with the small energy difference found between
TS11 and TS21 and the activation barrier of the process
•þ
yielding 5 þ 6 (formal metathesis), explains the experi-
mentally observed formation of the cycloreversion prod-
ucts 2 and 3, in addition to oxazine 4.
Figure 4. Relative energies of the transition states and inter-
mediates involved in the PET reactions of 1 ; inset: relative free
energy of transition state, TS22.
•þ
In summary, initial O;C bond cleavage of the oxetane
2
ring under PET conditions leads to a distonic 1,4-radical
cation, which is trapped by acetonitrile to give a ring
expanded oxazine adduct. This is a new reaction, which
formally constitutes the creation of a six-membered het-
erocyclicringfromCdC, CdO, and CtN units. In addition,
splitting of the oxetane radical cation, through stepwise
•
þ
•þ
•þ
Starting from 1 , ring splitting to give 2 þ 3 or 5
, as well as ring enlargement affording oxazine 4, takes
place via a stepwise mechanism. The initial C ꢀC or
þ
6
2
3
OꢀC bond-breaking energy barriers associated with
2
ꢀ1
cleavage of the C ;C and O;C bonds, results in a
2
TS11 and TS21 are 15.0 and 16.0 kcal mol , respectively.
Regarding the corresponding intermediates, formation of
3
4
retro-PaternoꢀB u€ chi reaction.
ꢀ
1
IN11 is slightly exothermic (ꢀ0.5 kcal mol ), while that
ꢀ
1
of IN21 is endothermic (8.0 kcal mol ). Breaking of
Acknowledgment. Financial support by the MICINN
Grants CTQ-2010-14882, CTQ-2009-13699 and JCI-2010-
•
þ
(
the OꢀC bond at IN11 yielding 2 þ 3 (which would
4
06204), from CSIC (JAEDOC 101-2011) and from Gen-
(
15) (a) Møller, C.; Plesset, M. S. Phys. Rev. 1934, 46, 618–622.
eralitat Valenciana (Grant No. GV/2012/041-20120205) is
gratefully acknowledged.
(
1
8
b) Head-Gordon, M.; Pople, J. A.; Frisch, M. J. Chem. Phys. Lett. 1988,
53, 503–506. (c) Saebø, S.; Alml o€ f, J. Chem. Phys. Lett. 1989, 154,
3–89. (d) Frisch, M. J.; Head-Gordon, M.; Pople, J. A. Chem. Phys.
Lett. 1990, 166, 275–280. (e) Frisch, M.; Head-Gordon, M.; Pople,
J. A. Chem. Phys. Lett. 1990, 166, 281–289. (f) Head-Gordon, M.; Head-
Gordon, T. Chem. Phys. Lett. 1994, 220, 122–128. (g) Ab Initio Mole-
cular Orbital Theory; Hehre, W. J., Radom, L., Schleyer, P. v. P., Pople, A. J.,
Eds.; Wiley: New York, USA, 1986.
(16) (a) Tomasi, J.; Persico, M. Chem. Rev. 1994, 94, 2027–2094. (b)
Quantum Chemical and Statistical Theory of Solutions-A Computational
Approach; Simkin, B. Y., Sheikhet, I., Eds.; Ellis Horwood: London, U.K.,
Supporting Information Available. Additional experi-
1
13
mental details, H and C NMR spectra(including DEPT
and NOESY); computational methods; geometry of the
stationary points (Cartesian coordinates); structures of
the transition states and intermediates involved in the PET
CR of 1. This material is available free of charge via the
Internet at http://pubs.acs.org.
1
3
995. (c) Cances, E.; Mennucci, B.; Tomasi, J. J. Chem. Phys. 1997, 107,
032–3041. (d) Cossi, M.; Barone, V.; Cammi, R.; Tomasi, J. J. Chem.
Phys. Lett. 1996, 255, 327–335. (e) Barone, V.; Cossi, M.; Tomasi, J.
J. Comput. Chem. 1998, 19, 404–417.
The authors declare no competing financial interest.
Org. Lett., Vol. 14, No. 22, 2012
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