Reactivity and Structure of 5-Dehydro-m-xylylene Anion
closed-shell reference. Its spin-flip counterpart, EOM-
SF-CCSD,25,42-44 was used for biradical states. Some
states (e.g., triplets and closed-shell singlets) were ac-
cessible by traditional single-reference techniques, such
as CCSD(T)45 or density functional theory (DFT).46
1
1
Equilibrium geometries of all the triplet (σ2π1 π2 ,
σ1π1 π2 , σ1π1 π2 ) and closed-shell singlet (σ2π1 π2 )
2
1
1
2
2
0
states of DMX- were optimized at the B3LYP/6-
1
311+G*47,48,49 level of theory. The structures of the B1
(1A’’) and 1A2 open-shell singlet states (σ1π1 π2 and
1
2
σ1π1 π2 ) were optimized at the EOM-CCSD/6-31+G*49,50
2
1
0
2
2
2
level from the σ2π1 π2 and σ0π1 π2 references, respec-
tively. Adiabatic excitation energies between the states
that are well-described by single-reference methods51
were calculated by the B3LYP, CCSD, and CCSD(T)
methods. The energy differences between the two-
1
configurational B1/1A2 open-shell singlets and the cor-
responding 3B1/3A2 triplet states were calculated by EOM-
EE-CCSDand EOM-SF-CCSD.Calculations wereperformed
by using the Q-CHEM52 and ACES II53 electronic struc-
ture packages. Molecular orbitals were visualized by
using Spartan. Natural atomic charges are calculated by
using the Natural Bond Orbital (NBO 4.0) program,54
which is interfaced to Q-CHEM.
F IGURE 3. Relative energies of planar DMX- for phenyl
anion/m-xylylene biradical states (left) and phenyl radical/m-
xylylenyl anion states (right). Adiabatic energies (no ZPE
included) were calculated by B3LYP/6-311+G*, EOM-CCSD/
6-31+G* (1A2), and SF-EOM-CCSD/6-31+G* (1B1) (see text).
The electronic configurations and relative adiabatic
energies of the low-lying states of planar DMX- are
summarized in Figure 3. At the planar C2v geometries,
the correlation between the electronic states of DMX-
and those of MX and DHT is obvious. Electronic states
indicated to the left correspond to an electronic structure
such as that in 1a , with a phenyl anion and m-xylylene
biradical moiety. Electronic states with labels to the right
correspond to an electronic structure like that in 1b. At
the planar geometry, the ground state of the system is
calculated to be 4.9 kcal/mol above the ground state, such
that 1b has a singlet-triplet energy splitting of 0.8 kcal/
3
mol. A second triplet state in 1b, the A2 state, lies 8.2
kcal/mol higher than the ground state. The corresponding
singlet-triplet energy splitting is 1.2 kcal/mol. The
calculated singlet-triplet splitting of planar 1a is 13.1
kcal/mol in favor of the triplet. These values are similar
to the corresponding singlet-triplet splittings in R,3-
dehydrotoluene21 and m-xylylene,20 respectively. Ulti-
mately, the calculated energy ordering for the planar ion
is essentially what would be predicted based on the
electron affinities of phenyl and benzyl anions and the
singlet-triplet splittings in the model biradicals.
3
predicted to be the B2 state, the triplet state of 1a . The
1
lowest energy state of 1b is the B1 singlet state and is
4.1 kcal/mol higher in energy than the ground state. The
3
lowest energy triplet state of planar 1b is the B1 state,
Surprisingly, only one of the planar states described
previously, the 1A2 state, has been found to be a true
minimum with the B3LYP approach, as each of the
(42) Krylov, A. I. Chem. Phys. Lett. 2001, 338, 375-384.
(43) Levchenko, S. V.; Krylov, A. I. J . Chem. Phys. 2004, 120, 175-
185.
(44) Krylov, A. I.; Sherrill, C. D. J . Chem. Phys. 2002, 116, 3194-
3203.
3
others has a single imaginary frequency. For the B2, 3B1,
1
and A1 states, the normal coordinate for the imaginary
frequency distorts the molecule to C2 symmetry. In the
3A2 and 1B1 states, the distortion leads to a planar Cs
structure. Thus, the DFT calculations predict that many
of the stable states of DMX- have non-C2v structures, and
as described next, are nonplanar. This is particularly
striking since out-of-plane distortions perturb conjugation
in the π-system, thus destabilizing it.
(45) Piecuch, P.; Kucharski, S. A.; Bartlett, R. J . J . Chem. Phys.
1999, 110, 6103-6122.
(46) Parr, R. G.; Yang, W. Density-functional theory of atoms and
molecules; Oxford University Press: New York, 1989.
(47) Becke, A. D. J . Chem. Phys. 1993, 98, 5648-5652.
(48) Krishnan, R.; Binkley, J . S.; Seeger, R.; Pople, J . A. J . Chem.
Phys. 1980, 72, 650-654.
(49) Clark, T.; Chandrasekhar, J .; Spitznagel, G. W.; Schleyer, P.
V. J . Comput. Chem. 1983, 4, 294-301.
The driving force for the nonplanarity of DMX- has
been found to be more efficient charge delocalization that
is achieved at twisted geometries due to the lifting of
symmetry-imposed constraints. When the symmetry low-
ers from C2v to C2, the a1 and a2 orbitals are able to mix
as a-type orbitals, whereas the b1 and b2 orbitals can mix
as b-type orbitals. Similarly, lowering the symmetry from
C2v to planar Cs allows mixing of the a1 and b2 orbitals
(as a′) and of the a2 and b1 orbitals (as a′′). The pair of a′′
orbitals that results is essentially the GVB orbitals in
the m-xylylene biradicals.20 The orbitals that result from
the mixing upon distorting to C2 and Cs are shown in
Figure 4.
(50) Hariharan, P. C.; Pople, J . A. Theor. Chim. Acta 1973, 28, 213.
(51) In the C2v symmetry group, these are the 3B2, 3B1, and 3A2
triplets and the 1A1 singlet. Their electronic configurations are σ2π11π2
,
1
σ1π11π22, σ1π12π21, and σ2π12π2°, respectively, and their wave functions
are single-configurational. In the C2 group, these electronic states mix
with each other, and only 3B and 1A can be described by single-
reference wave functions.
(52) Kong, J .; White, C. A.; Krylov, A. I.; Sherrill, D.; Adamson, R.
D.; Furlani, T. R.; Lee, M. S.; Lee, A. M.; Gwaltney, S. R.; Adams, T.
R.; Ochsenfeld, C.; Gilbert, A. T. B.; Kedziora, G. S.; Rassolov, V. A.;
Maurice, D. R.; Nair, N.; Shao, Y. H.; Besley, N. A.; Maslen, P. E.;
Dombroski, J . P.; Daschel, H.; Zhang, W. M.; Korambath, P. P.; Baker,
J .; Byrd, E. F. C.; Van Voorhis, T.; Oumi, M.; Hirata, S.; Hsu, C. P.;
Ishikawa, N.; Florian, J .; Warshel, A.; J ohnson, B. G.; Gill, P. M. W.;
Head-Gordon, M.; Pople, J . A. J . Comput. Chem. 2000, 21, 1532-1548.
(53) Stanton, J . F.; Gauss, J .; Watts, J . D.; Lauderdale, W. J .;
Bartlett, R. J . Int. J . Quantum Chem. 1992, 879-894.
(54) Glendening, E. D.; Badenhoop, J . K.; Reed, A. E.; Carpenter,
J . E.; Weinhold, F. Theoretical Chemistry Institute; University of
Wisconsin, Madison, WI, 1996.
In the 3B2 triplet state, charge delocalization can be
enhanced by mixing the a1 and a2 orbitals, which requires
J . Org. Chem, Vol. 69, No. 17, 2004 5739