1702 J. Am. Chem. Soc., Vol. 120, No. 8, 1998
Andraos et al.
Table 1. Calculated Relative Energies (kJ mol-1) of R-Oxo
Ketenes (RC(dO)CHdCdO)a
R
s-trans
s-cis
1,3-shift barrier
CH
H
SiH
OH
OCH
F
NH
3
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.3
1.8
206.0
142.7
119.7
114.5
97.9
88.8
69.6
58.9
52.7
51.5
47.2
38.9
33.9
3
0.0
1.8
3
1.8
2.2
2
-5.2
-1.3
4.2
PH
Cl
2
SH
-2.7
-3.3
4.2
SCH
Br
N(CH
3
3
)
2
-7.2
Figure 1. 13C NMR spectra of the carbonyl group region of 2 at various
temperatures: (a) 25 °C, (b) -30 °C; the divisions are 5 ppm; and (c)
a
G2(MP2,SVP) values.
-
60 °C.
expected from the relative nucleophilicities. In addition, the
four-membered ring transition structures containing Cl or Br
may be significantly less strained as judged from the larger
calculated CCC bond angles (105, 111, and 114° for R ) F,
Cl, and Br, respectively).
Since it is not feasible to perform G2(MP2,SVP) calculations
for chlorocarbonyl(phenyl)ketenes (2a and 2b), we have ex-
amined the energies of this system, using a density functional
method, at the B3-LYP/6-311+G(3df,2p)//B3-LYP/6-31G* +
ZPVE level. At this level of theory, the calculated 1,3-H shift
barrier of the parent formylketene (1a, R ) H) is 139 kJ mol ,
in good agreement with the G2(MP2,SVP) value (143 kJ mol ).
The rotational barriers are virtually identical at the B3-LYP and
G2(MP2) levels. This lends confidence to the B3-LYP barriers
ppm throughout the temperature range. The downfield shift
observed for all 13C NMR signals at lower temperatures is a
common occurrence.
‡
Values for ∆G (cis-trans) will be the subject of future studies
-
1
of other ketenes. However, a rotational barrier of ∼48 kJ mol
(
see below) is perfectly reasonable and comparable with those
in diazocarbonyl compounds (38-75 kJ mol ). The fact that
-1 9
1
3
14
the C NMR peaks for the aryl carbons and for the terminal
ketene carbon atom remained unsplit means either that the
chemical shift differences between these signals in 2a and 2b
are too small to cause resolution at the temperatures reached
here or that only 2a is present, in agreement with the calculations
below.
-
1
-1
-
1
for 2. The calculated 1,3-Cl shift barrier in 2 is 36 kJ mol ,
and for chloroformylketene (1a, R ) Cl) it is 53 kJ mol . The
lowering by 17 kJ mol may be understood in terms of extra
-
1
Theory
-1
stabilization of the planar transition structure (Figure 2) due to
conjugation with the phenyl ring. Both the s-trans (2a) and
the s-cis conformation (2b) are significantly distorted from
planarity. The dihedral angles between the phenyl group and
the ketene moiety are 37° and 67° in 2a and 2b, respectively
We have previously reported the effect of substituents on the
1
(
,3-migration in R-oxo ketenes at the QCISD(T)/6-311+G-
5
2d,p)//MP2/6-31G* + ZPVE level. Here, we have calculated
the 1,3-shift barriers at a higher level of theory, G2(MP2,-
1
0,11
SVP),
and extended the list of substituents (Table 1). It is
(
Figure 2). The s-cis rotamer (2b) is computed to be 10 kJ
seen that substituents with unshared pairs of electrons are good
migrators, which is understood in terms of the favorable
interaction between the lone pair of the migrating atom and the
-
1
mol less stable than the s-trans form. The calculated cis-
trans isomerization barrier is 48 kJ mol , and the barrier for
-
1
4
,5
rotation of the phenyl group in the s-trans form (2a), via a planar
vacant central carbon p orbital of the ketene LUMO. Thus,
the dimethylamino group is predicted to be the best migrator
-
1
transition structure, is ∼3 kJ mol . The reason for this
exceptionally low barrier may be found in the stabilization of
the planar transition structure due to conjugation.
-
1
with a 1,3-shift barrier of only 34 kJ mol . Indirect evidence
for rapid 1,3-shifts of the dimethylamino group in dimethyla-
In previous computational work we found that different
substituents may stabilize either the s-cis or the s-trans form of
acylketenes, acylketenimines, imidoylketenes, and vinylketenes
midoketenimines (1′b, R ) NMe2) below room temperature will
be published elsewhere.12 1,3-Migrations involving PH2, SH,
SCH3, Cl, and Br can also be expected to be very facile
processes, of which only the SMe shift has been observed so
-
1
4-6
within a ∼10 kJ mol range.
3
The calculated ∆E, ∆H, ∆S, and ∆G values for chlorocar-
bonyl(phenyl)ketene are summarized in Table 2. The entropy
values and temperature corrections (HT - H0) were derived from
B3LYP/6-31G* frequency calculations. The enthalpies of
reaction (∆H) were obtained by adding the thermal correction
to ∆E, and the final ∆G values were computed from the equation
far, and then only in the gas phase above 200 °C. The
calculated barriers for the 1,3-halogen shifts follow the order
(9) Kaplan, F., Meloy, G. K. J. Am. Chem. Soc. 1966, 88, 950. Kessler,
H. Angew. Chem., Int. Ed. Engl. 1970, 9, 219-235. Regitz, M.; Maas, G.
Diazo Compounds; Academic Press: New York, 1986. Lauer, W.; Krause,
V.; Wengenroth, H.; Meier, H. Chem. Ber. 1988, 121, 465-469. Nikolaev,
V. A.; Popik, V. V.; Korobitsyna, I. K. Russ. J. Org. Chem. 1990, 27, 437-
∆
G ) ∆H - T∆S. Since the B3-LYP barrier is slightly
4
50; Zh. Org. Khim. 1990, 27, 505-521.
10) Curtiss, L. A.; Redfern, P. C.; Smith, B. J.; Radom, L. J. Chem.
Phys. 1996, 104, 5148.
11) Caculations were performed using the GAUSSIAN G92/DFT
-
1
underestimated by ∼4 kJ mol (vide supra), our best estimate
(
‡
-1
of ∆G for the 1,3-Cl shift is 39 kJ mol , in excellent agreement
-
1
(
with the experimental value (42 kJ mol ).
programs: Frisch, M. J.; Trucks, G. W.; Schlegel, H. B.; Gill, P. M. W.;
Johnson, B. G.; Wong, M. W.; Foresman, J. B.; Robb, M. A.; Head-Gordon,
M.; Replogle, E. S.; Gomperts, R.; Andres, J. L.; Raghavachari, K.; Binkley,
J. S.; Gonzalez, C.; Martin, R. L.; Fox, D. J.; DeFrees, D. J.; Baker, J.;
Stewart, J. J. P.; Pople, J. A. GAUSSIAN 92/DFT; Gaussian Inc.: Pittsburgh,
PA, 1992.
(13) For the interconversion of (alkylthio)vinylketenes and -acylallenes,
see: Himbert G.; Fink, D. Z. Naturforsch. 1994, 49b, 542-550. Himbert,
G.; Fink, D. J. Prakt. Chem. 1994, 336, 654-657.
(14) (a) Becke, A. D. J. Chem. Phys. 1993, 98, 5648. (b) Lee, C.; Yang,
W.; Parr, R. G. Phys. ReV. B 1988, 37, 785. (c) The B3-LYP/6-31G* zero-
point vibrational energies were scaled by 0.9804: Wong, M. W. Chem.
Phys. Lett. 1996, 256, 391.
(12) Moloney, D. J. W.; Wentrup, C. To be published. Moloney, D. J.
W. Ph.D. Thesis, The University of Queensland, 1997.