4-Penten-1-oxyl Radical Cyclizations
A R T I C L E S
Table 3. Synopsis of Selectivities from 4-Penten-1-oxyl Radical
Cyclizations in the Presence of Reactive Hydrogen Atom Donors
H-Ya
potential energy surfaces. The computed energies (E + ZPVE),
zero-point vibrational energies (ZPVE), expectation values of
the spin operator ( S2 ), and relative heats of formation (∆∆Hf)
of radicals 1-3 are listed in Table 4. The illustration in Figure
1 has been restricted to phenyl-substituted radicals 1d-3d.24,25
Differences between the latter and the remaining computed
structures [i.e., for R2 ) H, CH3, C(CH3)3] have been included
into Table 4.
entry
1
R1
R2
4:5
1
2
3
4
5
6
7
a
b
c
d
e
f
H
H
H
H
CH3
CH3
CH3
H
CH3
C(CH3)3
C6H5
H
98:2a
The search for the two energetically lowest transition
structures associated with each mode of ring closure was
conducted as follows: A chair- and a boatlike folding of the
4-penten-1-oxyl radical 1a and of its 4-substituted derivatives
69:31b
46:54b
7:93a
98:2a
CH3
C(CH3)3
82:18a
37:63b
1b-d served as input geometries (Scheme 2, center left).26
A
g
successive shortening of the C4,O (for 12 and 13) or the C5,O
(for 14 and 15) bond from 3.00 Å to 1.48 Å led to high energy
intermediates along the associated reaction coordinates on an
AM1 level of theory.27 The highest energy structure from each
linear transit served as input geometry for successfully perform-
ing ab initio calculations. Stationary points were located by
gradient optimization procedures using the first and second
derivatives. The existence of one imaginary harmonic vibrational
frequency that was associated with the trajectory of C,O bond
formation classified intermediates 12-15 as authentic transition
structures. The calculated energies (E + ZPVE), zero-point
vibrational energies (ZPVE), expectation values of the spin
operators ( S2 ), relative heats of formation (∆∆Hf, referenced
versus the associated alkoxyl radical 1), sum of electronic and
thermal free energies G, ∆G (referenced versus the energetically
lowest transition structure of each series of intermediates),
Boltzmann-weighted populations P, and a short summary of
relevant conformational parameters of transition structures 12a-
d, 13a-d, 14a-d, and 15a-d are listed in Tables 5 and 6. For
the sake of clarity, the illustration of computed geometries has
been restricted to transition structures of cyclizations associated
with the 4-phenyl-4-pentenoxyl radical 1d (Figure 2).
a H-Y ) H-Sn(C4H9)3 or H-Si[Si(CH3)]3. Reaction temperature: 30
b
°C; see ref 5. Reaction temperature: 20 °C.
reactions of the 4-penten-1-oxyl radical (1a).10,18 According to
information from an assessment of methods that provide reliable
relative heats of formation in radical additions to C,C double
bonds,19,20 we restricted ourselves to the use of Becke’s three
parameter hybrid functional21,22 for calculations that are outlined
below.
Selectivities from kinetically controlled reactions, for instance
from cyclizations of O-radicals 1 under the conditions applied
above,5,18 may be analyzed by transition state theory, i.e., by
taking a Boltzmann distribution of thermal, rotational, and
vibrational energies in addition to the computed electronic
energies of a complete ensemble of transition states into
account.23 To keep computational time at a reasonable level
without losing essential information, simplifications have been
made in the present study. The ensemble of transition states
was reduced to two energetically lowest transition structures
per mode of ring closure (Scheme 2), which simplified the
Boltzmann statistics considerably. An assessment of this ap-
proach is outlined in the Discussion (see below).
The absence of imaginary harmonic frequencies pointed to
minimum structures for radicals 1-3 on the corresponding
Discussion
1. Experimental Regioselectivities. The 5-exo/6-endo-
selectivity in cyclizations of 4-penten-1-oxyl radicals 1 gradually
changes along the series of 4-substituents from 98:2 (1a, R2 )
H),3 via 69:31 (1b, R2 ) CH3), 46:54 [1c, R2 ) C(CH3)3], to
7:93 (R2 ) C6H5)5a (Table 3). The product analysis of volatile
cyclic ethers 4b, 5b (81% combined yield) and 4b, 5b (74%
combined yield) has been performed directly from the corre-
sponding reaction mixtures (1H NMR, GC). The choice of
[(H3C)3Si]3SiH as hydrogen atom donor for this purpose was
guided by the observation that 1H NMR resonances originating
(16) Quantum chemical calculations were carried out on Intel LinuX Worksta-
tions using the Gaussian 98 (revision A.7) software: Frisch, M. J.; Trucks,
G. W.; Schlegel, H. B.; Scuseria, G. E.; Robb, M. A.; Cheeseman, J. R.;
Zakrzewski, V. G.; Montgomery, J. A., Jr.; Stratmann, R. E.; Burant, J.
C.; Dapprich, S.; Millam, J. M.; Daniels, A. D.; Kudin, K. N.; Strain, M.
C.; Farkas, O.; Tomasi, J.; Barone, V.; Cossi, M.; Cammi, R.; Mennucci,
B.; Pomelli, C.; Adamo, C.; Clifford, S.; Ochterski, J.; Petersson, G. A.;
Ayala, P. Y.; Cui, Q.; Morokuma, K.; Malick, D. K.; Rabuck, A. D.;
Raghavachari, K.; Foresman, J. B.; Cioslowski, J.; Ortiz, J. V.; Baboul, A.
G.; Stefanov, B. B.; Liu, G.; Liashenko, A.; Piskorz, P.; Komaromi, I.;
Gomperts, R.; Martin, R. L.; Fox, D. J.; Keith, T.; Al-Laham, M. A.; Peng,
C. Y.; Nanayakkara, A.; Gonzalez, C.; Challacombe, M.; Gill, P. M. W.;
Johnson, B.; Chen, W.; Wong, M. W.; Andres, J. L.; Gonzalez, C.; Head-
Gordon, M.; Replogle, E. S.; Pople, J. A. Gaussian 98, revision A.7;
Gaussian, Inc.: Pittsburgh, PA, 1998.
(17) (a) Ditchfield, R.; Hehre, W. J.; Pople, J. A. J. Chem. Phys. 1971, 54,
724-728. (b) Hehre, W. J.; Ditchfield, R.; Pople, J. A. J. Chem. Phys.
1972, 56, 2257-2261. (c) Hariharan, P. C.; Pople, J. A. Mol. Phys. 1974,
27, 209-214.
(18) Maxwell, B. J.; Smith, B. J.; Tsanaktsidis, J. J. Chem. Soc., Perkin Trans.
2000, 425-431.
(24) The following notation has been applied for tetrahydrofuran and tetrahy-
dropyran-derived structures: C ) chair, E ) Envelope, T ) twist, TB )
twist boat. For reasons of symmetry, the following notations are equiva-
lent: 2T3 3T2, 3T4 4T3, 4C1 1C4, 3TB5 5TB3: Lehmann, J.
) ) ) )
Kohlenhydrate; Thieme: Stuttgart, 1996; pp 16-37.
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(25) Nomenclature for twist and envelope conformers: superscripts are used
for atoms which are displaced above the plane of three (T conformers) or
four atoms (E conformer). Subscripts refer to atoms which are located
underneath these planes. For a proper assignment of subscripts and
superscripts of conformers, the atoms of the heterocyclic core, which define
a plane, follow a clockwise arrangement with increasing atom count (i.e.,
O1-C2-C3): (a) Romers, C.; Altona, C.; Buys, H. R.; Havinga, E. Top.
Stereochem. 1969, 4, 39-97. (b) Zschunke, A. Moleku¨lstruktur; Spektrum
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9
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