1,3-diphosphacyclobutane-2,4-diyls.8,10 On the other hand,
interestingly, in spite of the remarkable steric hindrance,
torsion angle of the biaryl linker (64°) is not perpendicular
completely in the crystalline state. The conformation of the
spacer indicates the presence of an attractive interaction
between the biradical units probably due to electrostatic
effects. The distance between the skeletal centroids of 3
bis(biradicals). Figure 5 displays the cyclic voltammo-
grams and DPV (differential pulse votammetry) data
of 3ꢀ5. Compounds 3 and 4 exhibit two-step reversible
electron-releases, indicating that the electron-donating
biradical units electrostatically interact each other. On
the other hand, quite small separation of oxidation poten-
tials exhibiting almost single-step electron release was
observed in the votammetric measurements of 5. Therefore,
it is plausible that the through-space interaction between the
biradical chromophores can be operable by the bridging
structures. The DFT-optimized structure of 3 characterized
the HOMO and HOMO-1 orbitals with the quite small
energetic difference (Figure S2, Supporting Information),
which might relate to the elecrochemical properties in
solution.
Table 1 summarizes the voltammetric parameters of
3ꢀ9. All the voltammograms indicated reversible oxida-
tion processes (Figures S3, S4, Supporting Information).
Compounds 6ꢀ8 exhibit the through-space interaction
between the biradical chromophores inducing the step-
wise oxidations. Potential difference between the first and
second oxidations considerably depends on the spacer, and
the larger distance between the biradical units reduces
magnitude of the though-space electrostatic interaction.
The similar ΔEox parameter of 3 to that of 10 (0.13 V)4
corresponds to the structural characteristics discussed as
above. On the other hand, the ΔEox data of 6 is also close to
that of 10, whereas 7 exhibits smaller ΔEox data. The DFT-
optimized structure of 7 indicated the longer centroid-cen-
˚
(8.494 A) is comparable or rather shorter in comparison with
4
˚
that of 10 (8.847 A). The Mes* aryl groups are considerably
distorted due to the steric encumbrance,11 whereas the dihe-
dral angles between the 4-membered planar heterocycles and
Mes* aryl planes are 68ꢀ70°.
Such structural characters of 3 were supported by DFT
calculations (Figure S1, Supporting Information) [M06ꢀ
2X/6-31G(d); as the enantiomeric form].12,13 The typical
metric parameters around the P-heterocyclic skeletons, in-
cluding the sp2-type planar skeletal carbons and the sp3-type
pyramidalized phosphorus atoms, are characterized.10 The
distance between the centroids of the P2C2 four-membered
˚
rings is within 1 nm (DFT: 8.175 A), which would enable the
through-space communication.14
In order to evaluate the through-space interaction,
we examined electrochemical measurements of the novel
˚
troid distance (9.905 A, see Supporting Information) in
comparison with those of 3 and 10. Although detailed reason
for the considerable through-space interaction of 6 is unclear,
the diaryl ether structure would be effective to induce the
stepwise oxidations. Stabilization energy of the correspond-
ing radical cations is estimated as 1.9ꢀ3.1 kcal molꢀ1.15 DFT
calculations of 4 and 8 indicated the centroid-centroid dis-
˚
tances of ca. 1 nm (10.34 and 10.82 A, respectively), whereas 5
exhibits 1.2 nm (see Supporting Information).
Table 1. Redox Properties of 3ꢀ9a
compound
b
Kc
Eox11/2/mV
Eox21/2/mV
ΔEox/mV
3
4
5
6
7
8
9
176
172
214
158
192
168
216
312
268
136
96
200
42
Figure 5. Cyclic voltammograms of (a) 3, (b) 4, and (c) 5, and
DPV charts of (d) 3, (e) 4, and (f) 5. Conditions: 1 mM in CH2Cl2;
0.1 M tetrabutylammonium perchlorate (TBAP); working elec-
trode, GC; counter electrode, Pt; reference electrode, Ag/AgCl;
scan rate 100 mVsꢀ1. T = 298 K. Fc/Fcþ = 0.52 V.
292
294
252
134
102
84
185
53
26
a Conditions: 1 mM in CH2Cl2; 0.1 M TBAP; working electrode, GC;
(9) Although the axial bond might be able to rotate, conjugation
effect between the biradical units would be considerably reduced.
(10) Yoshifuji, M.; Sugiyama, H.; Ito, S. J. Organomet. Chem. 2005,
690, 2515–2520.
(11) Ito, S.; Miyake, H.; Yoshifuji, M. Phosphorus, Sulfur, Silicon
2009, 184, 917–927.
counter electrode, Pt; reference electrode, Ag/AgCl; scan rate, 100 mVsꢀ1
.
T = 298 K. Fc/Fcþ = 0.52 V. b Determined by ꢀRTlnKc = ꢀFΔEox. F =
Faraday const.
(12) Frisch, M. J. et al. Gaussian 09, Revision B.01, Gaussian, Inc.:
Wallingford, CT, 2010. See Supporting Information for full reference.
(13) Zhao, Y.; Truhlar, D. G. Theor. Chem. Acc. 2008, 120, 215–241.
(14) (a) Miller, J. R.; Calcaterra, L. T.; Class, G. L. J. Am. Chem. Soc.
1984, 106, 3047–3049. (b) Johnson, M. D.; Miller, J. R.; Green, N. S.;
Closs, G. L. J. Phys. Chem. 1989, 93, 1173–1176.
The redox properties of 5 and 8 correspond to the results
of linearly tricatenated biradicals (Figure 6). Taking the
(15) Richardson, D. E.; Taube, E. Inorg. Chem. 1981, 20, 1278–1285.
Org. Lett., Vol. XX, No. XX, XXXX
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