Dications of benzylidenefluorene and diphenylmethylidene fluorene: The relationship between magnetic and energetic measures of antiaromaticity

Article abstract of DOI:10.1021/jo101871q

Oxidation of m- and p-substituted benzylidene fluorenes to antiaromatic dications was attempted by electrochemical and chemical means. Electrochemical oxidation to dications was successful for benzylidene fluorenes with p-methoxy, p-methyl, p-fluoro, and

Full text of DOI:10.1021/jo101871q

pubs.acs.org/joc
Dications of Benzylidenefluorene and Diphenylmethylidene Fluorene:
The Relationship between Magnetic and Energetic Measures of
Antiaromaticity
Catherine Do, Julianne Hatfield, Shirali Patel, D. Vasudevan,† Cornelia Tirla,
and Nancy S. Mills*
Department of Chemistry, Trinity University, San Antonio, Texas 78212-7200, United States.
†On leave from Central Electrochemical Research Institute, Karaikudi, India 630006.
nmills@trinity.edu
Received September 22, 2010
Oxidation of m- and p-substituted benzylidene fluorenes to antiaromatic dications was attempted by
electrochemical and chemical means. Electrochemical oxidation to dications was successful for
benzylidene fluorenes with p-methoxy, p-methyl, p-fluoro, and unsubstituted phenyl rings in the
3-position; attempts to oxidize the m-substituted derivatives via electrochemistry were unsuccessful.
Chemical oxidation with SbF5/SO2ClF gave the dication of 9-[(4-methoxyphenyl)methylene]-9H-
fluorene cleanly; oxidation of all other substituted benzylidene fluorenes resulted in mixtures of
products. The excellent linear relationship between the chemical shifts calculated by the GIAO method and
the experimental shifts for the p-methoxy-substituted benzylidene fluorene dication suggests that the
calculations satisfactorily reflect the magnetic properties of this dication and potentially those of the
other dications studied. The redox potentials from electrochemical oxidation, a measure of the
stability of the dications, showed a good linear relationship with another measure of stability, the
calculated difference in energy between each dication and its neutral precursor. The dications of
benzylidene fluorenes were less stable than the dications of diphenylmethylidene fluorenes; within
each type of compound, dications with p-substituted phenyl rings were more stable than dications
with m-substituted phenyl rings and dications with phenyl rings substituted with electron-donating
groups were more stable than dications with phenyl rings substituted with electron-withdrawing
groups. The antiaromaticity of the fluorenyl system was assessed through the nucleus-independent
chemical shift (NICS) that was also calculated by the GIAO method. The plot of the NICS values per
square area versus the calculated energy difference for the dications showed a moderate degree of
linearity; the plot of NICS values per square area versus the oxidation potentials was less linear. Thus,
a suggestive, but not conclusive, relationship between magnetic and energetic measures of antiaromaticity
was observed.
Introduction
chemists have appreciated the unusual stability of the “aro-
matic sextet” and have sought to understand its origin and to
increase the number of compounds demonstrating the prop-
erties of benzene beyond the direct derivatives of benzene.
Because benzene is the quintessential aromatic molecule, its
properties have served as the model for evaluation of the
aromaticity of non-benzenoid aromatic species. The proper-
ties fall into three categories, those related to the existence of
Aromaticity is a key tenet of organic chemistry, which has
been used to guide the design of synthetic projects and to
explain the behavior of cyclic conjugated molecules for nearly
two centuries. From the discovery of benzene in 1825,1,2
(1) Faraday, M. Philos. Trans. R. Soc. London 1825, 115, 440–466.
(2) Bader, A. Chem. Br. 1996, 32, 41–42.
DOI: 10.1021/jo101871q
r
Published on Web 12/01/2010
J. Org. Chem. 2011, 76, 181–187 181
2010 American Chemical Society

Do et al.
JOCArticle
a ring current, which are considered magnetic properties,
those that reflect the stability of an aromatic species, denoted
energetic, and those that reflect the effect of delocalization
on the degree of alternation of bond lengths, described as a
structural property. Because aromaticity is not a phenom-
enon that can be directly observed, it is difficult to determine
which properties are the direct result of aromaticity. The need to
invoke a fictitious reference structure3 for evaluation of proper-
ties such as aromatic stabilization energy and magnetic sus-
ceptibility exaltation further removes the evaluation of aromat-
icity from experimental data. Depending on the type of
measurement, aromaticity has been assumed to be a one-
dimensional4 or multidimensional5,6 phenomenon.
We have been interested in the phenomenon of antiaro-
maticity, with a particular emphasis on preparing antiaromatic
species that can be characterized experimentally.7-18 Tradi-
tionally, the characterization of antiaromatic species has been
through theoretical calculation,4,19,20 which opens the conclu-
sions to concerns about the calculation method used, includ-
ing issues of basis set choice. When theoretical data can be
shown to have a good linear relationship with experimental
data, the theoretical data are viewed as more reliable, partic-
ularly by experimental chemists. We have been able to success-
fully use this approach to “validate” measures of aromaticity
like nucleus-independent chemical shifts (NICS), which have
no direct experimental analogue. NICS are the chemical shifts
TABLE 1. Oxidation Potentialsa in Volts for Formation of 32þ and 42þ
and 12þ and 22þ
,
32þ
NAb
1.50 ( 0.01
1.48 ( 0.01
1.41 ( 0.01
1.17 ( 0.01
42þ
12þ
22þ
a
b
c
d
e
NAb
NAb
NAb
NAb
NAb
1.54 ( 0.01
1.27 ( 0.01
1.26 ( 0.01
1.06 ( 0.01
1.03 ( 0.01
1.53 ( 0.01
1.27 ( 0.01
1.41 ( 0.01
1.26 ( 0.01
NAb
aPotentials for a scan rate of 50 V/s in CH2Cl2 with (n-Bu)4NBF4 (0.10M)
as the supporting electrolyte and reported vs the Ag/AgNO3 (0.1 M)
reference electrode. bNot available.
We have demonstrated a good linear relationship between
two measures of aromaticity, the nucleus-independent chem-
ical shift and magnetic susceptibility exaltation, the response of
an aromatic system to a magnetic field that is due to the
presence of a ring current.23 The good linearity also allowed
us to demonstrate that the sum of the NICS values for each
individual ring in a polycyclic system is an effective measure
of the aromaticity of the system as a whole. This study also
showed the value of using a combination of aromatic and
antiaromatic species because the greater range of values obtained
with the inclusion of antiaromatic species gave a more convincing
demonstration of linearity.
One would expect that methods that evaluate the response
of an aromatic system to a magnetic field would be internally
consistent. We have been interested in examining the rela-
tionship between aromaticity and antiaromaticity in the
different classes of properties assumed to measure aromati-
city. A linear relationship between measures of stability, for
example, and properties like NMR chemical shifts or NICS,
which originate in a response to a magnetic field, would suggest
that these different properties are measuring the same phenom-
enon. In the past, we demonstrated a rough linear relation-
ship between energetic and magnetic properties through the
relationship between the oxidation potential for formation
of the antiaromatic dications of substituted diphenyl methyl-
idenefluorenes (1 and 2) and the NICS values for the corre-
sponding dications.12,15 We were interested in seeing whether
the linear relationship existed within a related set of dica-
tions, the dications from oxidation of substituted benzylidene
dications (3 and 4). Because we are attempting the preparation
of antiaromatic species, we have no assurance that all dica-
tions shown for 3 and 4 will be available through chemical or
electrochemical oxidation. Our plan, therefore, is to use the
experimental properties of those species that can be prepared
and characterized to examine their relationship to related
properties obtained through calculation. We can then with
greater assurance calculate the measures of antiaromaticity
for species that we cannot prepare and provide a more com-
plete set of data to sort out relationships between different
measures of aromaticity and antiaromaticity. In the case of
this study, a good linear relationship between calculated and
experimental NMR chemical shifts will support the conclu-
sions drawn from NICS values. A linear relationship be-
tween the experimentally determined redox potentials, a
measure of stability, and the energy difference between the
dication and its neutral precusor, will allow the use of that
energy difference for dications that cannot be prepared
experimentally.
˚
calculated for a ghost atom placed 1 A above the planar ring
system.21 The chemical shift is a tensor, and the component
of the chemical shift parallel to the π-system has been shown
to most reliably correlate with other measures of aromaticity;
therefore, we will draw our conclusions from these NICS
values, designated as NICS(1)zz.22 If a good linear relation-
ship exists between the experimental shifts and the NMR
chemical shifts calculated by the same method as the NICS
values, the method for calculation of those NMR shifts, and
by extension the NICS values, are considered to be more reliable.
~
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182 J. Org. Chem. Vol. 76, No. 1, 2011

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FIGURE 1. Cyclic voltammograms for oxidation of 3e (a) and 3c (b). Note that ferrocene is included in the solution as an internal reference
at ∼0.5 V.
TABLE 2. Calculated Electronic Energy Differencesa (Δdication-neutral
in Electronvolts for 1-4
)
1
2
3
4
a
b
c
d
e
6.09
5.84
5.83
5.70
5.52
6.06
5.84
5.98
5.79
5.82
6.34
6.16
6.12
6.03
5.81
6.30
6.16
6.25
6.11
6.15
aAt the B3LYP/6-31G(d) level with ZPVE energies calculated by the
PCM method with CH2Cl2 as the solvent. Because the conversion from
hartrees per particle or kilocalories per mole assumes a one-electron
transfer, the values were divided by two for the two-electron oxidation.
be found in the Supporting Information along with complete
electrochemical data for 32þ
.
Evaluation of Relative Stability through Calculated Energy
Differences between Dications and Their Neutral Precursors.
Table 1 also repeats the data previously reported for 12þ and
22þ. The oxidation potentials for formation of the dications
are more positive for the formation of 32þ, for a comparison
of each substituent, which suggests the greater instability of
32þ versus 12þ and 22þ. Support for this comes from a con-
sideration of the calculated difference in energy for the dication
versus the neutral species. We have calculated the energy of the
neutral precursors and their dications for 1-4 for structures
optimized using the polarization continuum method (PCM)
with dichloromethane as the solvent. The energies and their
differences with zero-point energy corrections are listed in
Table 2 for the species calculated with solvent. The relation-
ship between the experimental redox potentials and the
calculated energy differences for 3a-d2þ, 1a-e2þ, and
2b-e2þ is shown in Figure 2 and is roughly linear. Redox
potential here is used as a proxy for the stability of each
dication, while the calculated energy difference is a direct
measure. The linearity of the relationship is probably about
as good as we might expect to find for these diverse condi-
tions. If the optimized geometries were vastly divergent from
those of the actual dications, we would expect a greater
deviation from linearity.
Results and Discussion
Electrochemical Preparation of 32þ. As was true for 12þ
and 22þ 12
oxidation in CH2Cl2 of the neutral unsaturated
,
precursor to the dication could be observed via cyclic vol-
tammetry for 3 for all species except for 3a. None of the
precursors to 4 possessing meta-substituted phenyl rings
could be oxidized to dications electrochemically. The redox
potentials for formation of 32þ, 12þ, and 22þ are given in
Table 1, with the cyclic voltammograms shown in Figure 1
for 3e2þ and 3c2þ. These cyclic voltammograms were chosen
to demonstrate the differences as the substituent became less
stabilizing. The cyclic voltammograms for 3c2þ and 3d2þ can
J. Org. Chem. Vol. 76, No. 1, 2011 183

Do et al.
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The correlation was best when solvent was included in the
calculation. The chemical shifts for the fluorenyl systems are
found in the region between 4.7 and 5.5 ppm and support the
antiaromaticity of 3e2þ
.
The most stable dication from para-substituted 3-phenyl
benzylidene fluorenes would have been the methoxy-substituted
one, 3e2þ, which was the only one to form cleanly. It is not
surprising that dication 42þ could not be cleanly formed by
chemical oxidation because we were unable to record good
data for its electrochemical formation. It was of course
disappointing to fail to form other dications cleanly, but as
the instability of the species increases, we are going to have
more difficulty with their preparation.
We suspected that part of the complexity of the spectra of
the other oxidation reaction mixtures was due to the in-
stability of the benzylidene fluorene dication and subsequent
cyclization to benz[e]acephenanthrylenes and their probable
subsequent oxidation, shown below. To support this con-
jecture, we quenched the reaction of 3a2þ and were able to
identify starting material 3a as well as downfield peaks that
were consistent with the formation of the substituted benz-
[e]acephenathrylene25 (see the Supporting Information).
FIGURE 2. Comparison of oxidation potentials for 3a-d2þ
,
1a-e2þ, and 2b-e2þ with the corresponding differences in energy
between the dication and its neutral precursor. See Table 2 for
details of the calculations.
Evaluation of Antiaromaticity through Magnetic Measures.
The primary experimental measures of aromaticity and
antiaromaticity that probe a ring current and are considered
1
magnetic measures are the diatropic shifts in the H NMR
spectra of aromatic species and paratropic shifts in the NMR
spectra of antiaromatic species. The use of NMR chemical
shifts for evaluation of aromaticity has been called into
question because the out-of-plane component of the mag-
netic tensor is necessary for evaluation of the ring current.
The chemical shift, which is an average of all the magnetic
tensors, can mask the contribution of the out-of-plane
component.24 We will use the nucleus-independent chemical
shift as the primary tool for the evaluation of antiaromaticity
through magnetic measures because we can include only the
out-of-plane component of the magnetic tensor. However, as
mentioned previously, the comparison of experimental chemical
shifts to the chemical shift obtained in the same calculation
as the NICS values helps to validate the NICS calculations.
1H NMR Chemical Shifts. The formation of dications 32þ
and 42þ by oxidation of the corresponding substituted
benzylidene fluorenes with SbF5/SO2ClF resulted in com-
plex changes in the 1H NMR spectra for the majority of the
precursors. Spectra for reaction mixtures that could contain
32þ were cleaner than the reaction mixtures for oxidation to
give 42þ, but only the oxidation to give 3e2þ gave a spectrum
that was primarily due to a benzylidene fluorene dication
(Figure 3). Assignments of chemical shifts were made on the
basis of COSY spectra and by comparison with calculated
spectra (see the Supporting Information). Note that while
the upfield chemical shifts of the fluorenyl system appear
symmetrical, the phenyl ring must possess restricted rotation
on the NMR time scale, giving rise to four individual proton
signals. While there is more splitting for those signals than we
might anticipate, the COSY spectrum supports this assign-
ment. In addition, the assignment from calculated shifts is in
good agreement with the experimental shifts (see Figure 4).
Nucleus-Independent Chemical Shifts (NICS). The linearity of
the experimental and calculated chemical shifts for 3e2þ suggests
that calculations of NICS using the same basis set should be
reliable. The NICS values were calculated with the GIAO
method in Gaussian 0326 or Gaussian 0927 with B3LYP/6-
˚
311þg(d,p) on ghost atoms 1 A above and below the center of
(25) Laali, K. K.; Okazaki, T.; Galembeck, S. E. J. Chem. Soc., Perkin
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184 J. Org. Chem. Vol. 76, No. 1, 2011

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FIGURE 3. 1H NMR spectrum of 3e2þ at -50 °C, with acetone-d6 and TMS as external references.
values are inversely related to the square of the area of the ring,23
and even though the ring systems examined via NICS are very
similar, the correction for ring area has an effect on the
comparison of NICS between systems (see the Supporting
Information). The values for 12þ and 32þ are given in Table 3
and the values for 22þ and 42þ in Table 4. We have previously
reported NICS for 12þ and 22þ, but those values were the
isotropic NICS values, from the sum of the three orthogonal
magnetic tensors, and were calculated at a different basis set;
therefore, we recalculated the values to allow comparison with
those of 32þ and 42þ
.
Comparison of the data for 32þ with those for 42þ is
consistent with the observations of stability from 1H NMR
spectral data and from electrochemical measurements. In
addition, the summation of NICS(1)zz demonstrates that for
all systems the greater the electron-withdrawing effect of the
substituent, the greater the antiaromaticity of the positively
charged fluorenyl system.
Comparison of Energetic and Magnetic Measures of Aro-
maticity and Antiaromaticity. We now have two energetic
measures of antiaromaticity, the experimental redox potential
for formation of the fluorenylidene dications and the com-
puted ab initio energy differences, and one magnetic mea-
sure, NICS(1)zz. The relationship between NICS per square
area and the calculated energy differences is shown in Figure 5a.
There is a suggestion of linearity between these computed
energetic and magnetic measures of aromaticity, although it
is certainly not definitive.
Figure 5b shows the relationship between the summation
of the calculated NICS per square area and the experimental
redox potentials for those dications of 12þ-32þ that could be
prepared via electrochemical oxidation. The data show a trend
with an increasing difficulty of formation by electrochemical
oxidation, reflecting instability that is related to increasing
antiaromaticity. Further work to increase the range of redox
potentials and NICS values by the inclusion of related aromatic
dianions is underway. As we demonstrated in the examination
1
FIGURE 4. Calculated vs experimental H NMR shifts for 3e2þ
.
NMR shifts were calculated with the GIAO method, with basis set
B3LYP/6-311þg(d,p), the solvent (DMSO) included via PCM, on
geometries optimized at the B3LYP/6-31g(d) level.
each ring of the fluorenyl system. The magnetic tensor perpen-
dicular to the planar fluorenyl ring system was used, giving the
NICS(1)zz value recommended for evaluation of aromaticity
and antiaromaticity.22 The NICS(1)zz values are reported for the
individual ring systems as well as for the summation of the three
rings in the fluorenyl system (Tables 3 and 4).23 The dihedral
angles of the phenyl rings of 12þ and 22þ are approximately 50°;
those for the phenyl rings of 32þ and 42þ are approximately 60°
(see the Supporting Information). Because the top and bottom
sides of the fluorenyl systems are not exactly the same, there is a
slight difference in the magnitude of the NICS values. We have
averaged the NICS values for each ring of the fluorenyl system
for Tables 3 and 4, but the unaveraged NICS values are available
in the Supporting Information. We have determined that NICS
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TABLE 3. NICS(1)zz Values for Para-Substituted Fluorenylidene Dications 32þ and 12þa
32þ
12þ
P
P
P
P
NICS-5b
NICS-6c
NICSd
NICS/area2
NICS-5b
NICS-6c
NICSd
NICS/area2
a
b
c
d
e
88.79
87.43
80.86
76.49
74.02
58.10
51.87
44.86
39.44
35.67
204.99
191.17
170.59
155.36
145.37
1.255
1.087
0.993
0.907
0.842
74.94
68.72
75.05
72.23
55.65
35.12
29.10
32.45
28.81
21.50
145.18
126.92
139.94
129.85
98.64
0.782
0.706
0.733
0.681
0.649
aNICS values calculated by the GIAO method with B3LYP/6-311þg(d,p) on geometries optimized at the B3LYP/6-31g level. bValues obtained in the
c
d
˚
center of the five-member ring. Values obtained 1 A above the center of the six-member ring. The sum of NICS(1)-5 and 2 ꢀ NICS(1)-6.
TABLE 4. NICS(1)zz Values for Meta-Substituted Fluorenylidene Dications 42þ and 22þa
42þ
22þ
P
P
P
P
NICS-5
NICS-6
NICS
NICS/area2
NICS-5
NICS-6
NICS
NICS/area2
a
c
d
e
100.82
87.73
88.13
94.52
66.59
54.25
49.07
57.61
234.00
196.23
186.27
209.75
1.226
1.158
0.976
1.102
69.74
77.68
73.55
73.02
33.52
36.28
30.98
30.77
136.79
150.24
135.52
134.57
0.807
0.787
0.710
0.705
aAs in Table 3.
P
FIGURE 5. Relationship between NICS per square area and measures of stability. (a) Calculated ΔEdication-neutral values for 12þ-42þ
.
(b) Oxidation potentials for formation of 3b-e2þ, 1a-e2þ, and 2a-d2þ
.
P
of the relationship between NICS and magnetic suscepti-
and the energy difference when solvent was included in the
calculations, which supported the use of the oxidation
potential to evaluate stability. Chemical oxidation with
SbF5 in SO2ClF gave clean formation of only the dication
of 3e, presumably because of intramolecular cyclization of
the relatively unstable dications. There was a good linear
bility exaltation,23 the inclusion of data from both aromatic
and antiaromatic species expanded the range sufficiently so
that the linearity of the relationship was more apparent.
Conclusions
1
relationship between the experimental H NMR chemical
shifts of 3e2þ and the chemical shifts calculated with the
GIAO method using the B3LYP/6-311þg(d,p) basis set.
This method and basis set were also used to calculate the
NICS(1)zz values for 12þ-42þ. The calculated measures of
Electrochemical oxidation of 3b-e resulted in the forma-
tion of dications whose redox potentials were related to the
electronic nature of the para substituent, with more electron-
withdrawing substituents giving more positive oxidation
potentials. The stability of dications 32þ, dications of meta-
substituted benzylidene fluorenes, 42þ, and the dications
from para- and meta-substituted diphenylmethylidene fluor-
enes, 12þ and 22þ, respectively, was assessed through the
calculated energy difference between the dication and its
neutral precursor, ΔEdication-neutral. For those dications whose
oxidation potentials could be observed, there was a moder-
ately good linear relationship between the oxidation potential
stability, ΔEdication-neutral, and calculated measures of the
P
ring current, NICS(1)zz, showed a rough linear relation-
ship. The relationship between the experimental measure of
stability (oxidation potential for formation of the dication)
P
and NICS(1)zz was much less linear but showed a definite
trend, with stability inversely related to antiaromaticity. The
relationship suggests that measures of stability and measures of
ring current may be related.
186 J. Org. Chem. Vol. 76, No. 1, 2011

Do et al.
JOCArticle
Experimental Section
oxidant/solvent solution was cooled to -78 °C and mixed
repeatedly until the solution was homogeneous. The benzyli-
dene fluorene (∼2.4 ꢀ 10-4 mol) was added to the solution,
which immediately turned dark brown. The solution was mixed
again, and a small volume was transferred to an NMR tube
at -78 °C. Proton NMR spectra were recorded at -78 °C and
at 10 °C intervals from -60 to -30 °C. COSY spectra were
recorded when the reaction mixture appeared relatively clean, at
varying temperatures from -60 to -40 °C.
Synthesis of 3a-f and 4a-f. Benzylidene fluorene and the
benzylidene fluorenes with p-fluoro, chloro, methyl, and meth-
oxy substituents and with m-trifluoromethyl, chloro, methyl,
and methoxy substituents were synthesized as shown for 3b
(see the Supporting Information), and their identities were con-
firmed by comparison with literature data. The syntheses of
previously unknown 3a and 4c are also reported in the Support-
ing Information.
Cyclic Voltammetric Studies on 3 and 4-Substituted Benzyli-
denefluorenes. Cyclic voltammograms were recorded using a
three-electrode assembly involving a platinum microelectrode,
Ag/AgNO3 (0.1 M), (n-Bu)4NBF4 (0.1 M), and platinum gauze
as the working, reference, and counter electrodes, respectively.
The solvent, dichloromethane, was dried with P2O5 and stored
over type 4A molecular sieves.
Solutions of 3- and 4-substituted benzylidenefluorenes for
cyclic voltammetry were prepared as 0.5 mM solutions of
benzylidenefluorene in dichloromethane with tetrabutylammo-
nium hexafluorophosphate (0.1 M) as the supporting electrolyte
in a final volume of 5 mL. Cetyltrimethylammonium bromide
(CTAB) was also added to the solution to help with formation of
dications of the fluoro-, bromo-, and chloro-substituted benzy-
lidene fluorenes. The concentrations of CTAB used for each
compound were 6.3 ꢀ 10-3, 0.013, and 8.4 ꢀ 10-3, respectively.
The methyl- and methoxy-substituted compounds did not need
CTAB to facilitate dication formation. 4-Trifluoromethylben-
zylidene fluorene did not form dications in the presence or absence
of CTAB. With other surfactants such as sodium dodecyl sulfate
and Triton X-100, satisfactory results were not observed.
Approximately 2.5 mL of each solution was added to a 3 mL
electrochemistry cell filled at the tip with anhydrous alumina.
Cyclic voltammograms were recorded by potential sweep in the
positive direction to the desired range depending on the com-
pound and solvent. Scan rates of 10, 20, 50, 102, and 204 V/s
were employed for each solution. Ferrocene (5 ꢀ 10-3 M) was
added to the cell after all scan rates were completed to reference
the potentials to the ferrocene-ferrocenium redox couple.28 All
potentials in this work are reported with respect to this redox
couple (internal standard) because the potential of the reference
electrode was not perfectly constant.
1
Calculation of H and 13C NMR Chemical Shifts, Nucleus-
1
Independent Chemical Shifts, and Energies. H NMR chemical
shifts for 3a-e2þ, 4a-e2þ, 1a-e2þ, and 2a-e2þ were calculated
using the GIAO method in Gaussian 0326 or Gaussian 0927 with
basis set B3LYP/6-311þg(d,p) on structures optimized with
basis set B3LYP/6-31 g(d). Geometries for hydrocarbons calcu-
lated with density functional theory at this level have been shown to
agree well with experimental data.29-31 The 1H NMR shifts were
calculated with the inclusion of solvent using the PCM method
in Gaussian 03, with DMSO chosen as the solvent. NICS(1)zz
was calculated with the GIAO method with basis set B3LYP/6-
311þg(d,p) using the component of the magnetic shift tensor in
the z direction (perpendicular to the plane of the ring) for a
dummy atom 1 A above the center of the ring.22 The energies of
˚
1a-e2þ, 2a-e2þ, 3a-e2þ, and 4a-e2þ and of their neutral
precursors were obtained from a frequency calculation using
Gaussian 09, with basis set B3LYP/6-31g(p), and include the zero-
point energy corrections. Both the geometries and the frequency
calculations included solvent (CH2Cl2) using the PCM method.
Acknowledgment. We thank the Welch Foundation (Grant
W-794) and the National Science Foundation (Grants CHE-
0242227, CHE-0553589, CHE-0552292, and CHE-0138640)
for their support of this research.
Supporting Information Available: Complete electrochemi-
cal data for oxidation of 3, experimental and calculated chemical
shifts of 3e2þ, quench data for 3a2þ, cyclic voltammograms
for 3b-e2þ, experimental procedures for preparation of 3b, 3a,
and 4c, Cartesian coordinates, total energies, and numbers of
imaginary frequencies for 1a-e2þ, 2a-e2þ, 3a-e2þ, and
4a-e2þ. This material is available free of charge via the Internet
at http://pubs.acs.org.
Chemical Preparation of Dications. Antimony pentafluoride
(6.9 ꢀ 10-3 mol) was dissolved in SO2ClF (1.5 mL). The
(28) Gagne, R. R.; Koval, C. A.; Lisensky, G. C. Inorg. Chem. 1980, 19,
2854–2855.
(30) Rasul, G.; Prakash, G. K. S.; Olah, G. A. J. Org. Chem. 2000, 65,
8786–8789.
(29) Evdokimov, A. G.; Kalb, A. J.; Koetzle, T. F.; Klooster, W. T.;
Martin, J. M. L. J. Phys. Chem. A 1999, 103, 744–753.
(31) Nendel, M.; Houk, K. N.; Tolbert, L. M.; Vogel, E.; Jiao, H.;
Schleyer, P. v. R. J. Phys. Chem. A 1998, 102, 7191–7198.
J. Org. Chem. Vol. 76, No. 1, 2011 187