complex carrying four SbCl6 anions. Elemental analysis of
1t(SbCl6)3 gave 40.11%, 3.56%, and 2.37% for C, H, and
N, respectively, in agreement with the calculated values (C
) 40.13%, H ) 3.18%, and N ) 2.67%). A spin concentra-
tion of 2.24 spins per molecule was determined by ESR in
dichloromethane for 1t(SbCl6)3.
the lowest spin state. Spin projection was then performed
using eq 2 to eliminate spin contamination effects on the
BS lower spin state from higher spin states.15
ES - ET
J )
(2)
<S2>T - <S2>S
The input geometry for MO calculation was constructed
from the X-ray crystallographic data of the recently synthe-
sized 3,7-diphenyl-10-n-octylphenothiazine cation radical
(Figure 2, left).9e Because J strongly depends on the torsion
angle between the two phenothiazine units, the methyl groups
were not needed. MO calculations were performed at the
UB3LYP/6-31G(d) level using Gaussian 03.16 The dihedral
angle dependence (∠C5-C4-C4′-C3′) of J is shown in
Figure 2 (right). From the J/k value of -38.5 K estimated
above, the torsion angle was found to be ca. 80° in
1d(SbCl6)2, consistent with the corresponding torsion angle
in 2,2′,6,6′-tetramethyl-substituted biphenyls (80-97°).17
Figure 1. Temperature dependence of ESR spectra of 1d(SbCl6)2
in PMMA matrix (3 wt % content). Asterisks denote signals due
to the Mn2+ standard. The IT-T plot was obtained by monitoring
the triplet signal at 318 mT. The solid line in the IT-T plot
represents the least-squares fit using eq 1.
Rigid media ESR spectra of 1d(SbCl6)2 were acquired in
poly(methyl methacrylate) (PMMA) matrix in the temperature
range of 113-333 K (Figure 1). The ESR spectra clearly
showed the triplet signals with the zero-field splitting constants
of |D| ) 7.2 and |E| ≈ 0 mT. The ∆MS ) ( 2 forbidden
transition was also observed at ca. 160 mT. The D value is
larger than the value (3.8 mT) calculated using the point dipole
approximation based on the distance between the centers of two
phenothiazine units (ca. 9.0 Å). This may be due to delocal-
ization of unpaired electrons around the bond linking two
phenothiazine units. The intensity of the triplet signals increased
with decreasing temperature. In the IT-T plot in Figure 1, the
IT value gradually decreased with decreasing temperature,
showing that the triplet state exists in the thermally excited state.
The IT-T behavior was analyzed using the Bleaney-Bowers
singlet-triplet model (eq 1) to estimate the intramolecular
exchange coupling constant (J).
Figure 2. Input geometry for MO calculation (left) and intramo-
lecular exchange coupling constant as a function of dihedral angle
(right). C4-C4′ ) 1.49 Å and ∠C5-C4-C4-C3′ ) 24.2°.
The ESR spectrum of 1t(SbCl6)3 in PMMA matrix showed
a single line but did not exhibit signals characterizing high
spin states. Spins may be far from each other because of the
low spin concentration.
(15) (a) Takano, Y.; Kubo, S.; Onishi, T.; Isobe, H.; Yoshioka, Y.;
Yamaguchi, K. Chem. Phys. Lett. 2001, 335, 395. (b) Kawakami, T.;
Taniguchi, T.; Hamamoto, T.; Kitagawa, Y.; Okumura, M.; Yamaguchi,
K. Int. J. Quantum Chem. 2005, 105, 655. (c) Shoji, M.; Koizumi, K.;
Kitagawa, Y.; Yamanaka, S.; Okumura, M.; Yamaguchi, K. Int. J. Quantum
Chem. 2007, 107, 609, and references cited therein.
(16) Frisch, M. J.; Trucks, G. W.; Schlegel, H. B.; Scuseria, G. E.; Robb,
M. A.; Cheeseman, J. R.; Montgomery, J. A., Jr.; Vreven, T.; Kudin, K. N.;
Burant, J. C.; Millam, J. M.; Iyengar, S. S.; Tomasi, J.; Barone, V.;
Mennucci, B.; Cossi, M.; Scalmani, G.; Rega, N.; Petersson, G. A.;
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Ishida, M.; Nakajima, T.; Honda, Y.; Kitao, O.; Nakai, H.; Klene, M.; Li,
X.; Knox, J. E.; Hratchian, H. P.; Cross, J. B.; Bakken, V.; Adamo, C.;
Jaramillo, J.; Gomperts, R.; Stratmann, R. E.; Yazyev, O.; Austin, A. J.;
Cammi, R.; Pomelli, C.; Ochterski, J. W.; Ayala, P. Y.; Morokuma, K.;
Voth, G. A.; Salvador, P.; Dannenberg, J. J.; Zakrzewski, V. G.; Dapprich,
S.; Daniels, A. D.; Strain, M. C.; Farkas, O.; Malick, D. K.; Rabuck, A. D.;
Raghavachari, K.; Foresman, J. B.; Ortiz, J. V.; Cui, Q.; Baboul, A. G.;
Clifford, S.; Cioslowski, J.; Stefanov, B. B.; Liu, G.; Liashenko, A.; Piskorz,
P.; Komaromi, I.; Martin, R. L.; Fox, D. J.; Keith, T.; Al-Laham, M. A.;
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Revision D.01; Gaussian, Inc.: Wallingford, CT, 2004.
3
IT ) C
(1)
3 + exp(-2J/kT)
The least-squares fit led to a J/k value of -38.5 K (|R| )
0.977).
The torsion angle between the two phenothiazine units in
1d(SbCl6)2 was examined using an MO calculation of the J
value. Energies of singlet and triplet states were calculated
in consideration of the broken-symmetry (BS) problem for
(13) Carlin, R. B. J. Am. Chem. Soc. 1945, 67, 928.
(14) Cadogan, J. I. G.; Kulik, S.; Thomson, C.; Todd, M. J. J. Chem.
Soc. C 1970, 2437.
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450
Org. Lett., Vol. 12, No. 3, 2010