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2.0026, D = 0.0095 cmꢀ1), apart from a featureless radical
signal which may arise upon sample preparation through
spontaneous oxidation of 5 (Figure 2B). No Dms = 2 line was
observed. The rather small zero-field splitting parameter D is
consistent with the nonplanar structure of the dimer[14] and
indicates a weak dipolar interaction between the radical
centers.[15] That in turn, suggests separate delocalization of the
spin over each of the subunits.
1H NMR spectroscopy in solution indicates a fast chem-
ical exchange between the diamagnetic and paramagnetic
species, resulting in temperature-dependent variations of
chemical shifts, line widths, and longitudinal relaxation times
T1, observed for most resonances (Figures S24–S27). At low
temperatures (183 K, CD2Cl2), all signals are reasonably
sharp and can be assigned by 2D techniques, and their spin-
lattice relaxation times (T1 > 1 s) are typical for diamagnetic
species. At room temperature, however, some signals (e.g. H8
and H13) are extremely broadened and unobservable, while
others, such as H17 and H18, remain sharp enough to reveal
spin–spin splittings. All T1 relaxation times at 300 K are much
shorter than those observed at 183 K (0.04–0.5 s), in line with
the higher population of the paramagnetic form and/or faster
chemical exchange between the forms. Significantly, below
203 K, there are six distinct methyl signals of the meso-mesityl
substituents, proving that the rotation at the C3–C3’ bond is
frozen. The rotation becomes rapid at higher temperatures,
resulting in pairwise averaging of the o-Mes signals. The
frequency of rotation around the C3-C3’ bond can be
estimated as about 340–370 Hz at the coalescence temper-
atures of individual signals reflecting flexibility of the
molecular skeleton. That kind of structural flexibility prevents
the chromatographic separation of atropisomers observed in
the solid state by X-ray diffraction.[9b,10a,e] Unlike 3, dimer 5
revealed only weak temperature dependence of its optical
spectra (25–1008C, toluene) with only a slight increase of
absorption at 416 nm and a similar decrease at 950 nm
(Figure S28). These observations reflect a small contribution
of 5-T over the whole temperature range.
DFT calculations were carried out for 5 in open- and
closed-shell singlet (5-S) and triplet (5-T) states. Since the
open-shell singlet (modeled using the broken-symmetry
approach) gave no stable SCF solutions, we confined our
analysis to the restricted and unrestricted Hartree–Fock
approximation for 5-S and 5-T, respectively (Scheme 2). The
optimized geometry of 5-S (more stable by 0.39 kcalmolꢀ1
than 5-T) reproduces closely the features of the X-ray
structure (rC3-C3’ = 1.417 ꢂ; C2-C3-C3’-C2’ torsion qT =
142.88; dihedral angle qD = 42.38). The optimized structure
of 5-T is characterized by a significantly longer C3–C3’ bond
(1.468 ꢂ), lower qT torsion (120.58), and higher dihedral angle
between the mean planes (qD = 61.58). Relaxed potential-
energy scans performed along the qT coordinate for 5-S and 5-
T (qT = 20 to 1808) indicated that the triplet ground state is
preferred for the more perpendicular orientations of the
macrocyclic subunits (25 < qT < 1358 or 47 < qD < 908). The
E(5-S)–E(5-T) energy gap reaches 8–10 kcalmolꢀ1 at the
near-perpendicular orientation of the subunits (qT = 70–908,
Figure 2C), with the C3–C3’ bond length in 5-S sharply
increasing up to 1.48 ꢂ, a value typical for a single C(sp2)–
Figure 2. A) Molecular structure of 5 depicted with 50% thermal
ellipsoids. All hydrogen atoms are omitted. B) ESR spectrum of solid 5
at 77 K. Red trace: simulation of the S=1 system. C) Relaxed DFT
potential energy surface scans for 5-S (blue and green circles) and 5-T
(red circles) on C2-C3-C3’-C2’ torsion angle qT.
Centre.). In solid state, 5 consists of two flat macrocyclic
subunits (with mean out-of-plane displacements of 0.052 and
0.069 ꢂ) forming a dihedral angle qD of 44.08 and a C2-C3-
C3’-C2’ torsion qT of 143.9(4)8. The unique C3–C3’ bond has
a length of 1.437(5) ꢂ, which is appreciably shorter than bond
lengths reported for b,b’-linked bis(porphyrins) (1.46–
1.47 ꢂ),[9] N-confused porphyrin dimers (1.463–1.490 ꢂ),[10]
bis(corrole) free base (1.490(8) ꢂ),[11a] porphyrin-chlorin
heterodimer (1.522(5)),[11b] bis(chlorin) (1.61 ꢂ),[12] or Cmeso
–
Cmeso bond in bis(porphyrin) complexes (1.47–1.51 ꢂ)[13] all
consisting of aromatic subunits linked by a single bond and
containing an even number of delocalized p-electrons in each
macrocyclic ring. Conversely, in 5, each macrocyclic p-system
contains 19 p-electrons, so that two electrons need to be
paired across the C3-C3’ bond to yield a closed-shell system.
The non-coplanarity of subunits in 5 was nevertheless thought
to destabilize the interannular p-conjugation, with the expect-
ation that the electrons might become unpaired and yield two
weakly interacting 19-electron systems. Interestingly, 5 was
found to be weakly paramagnetic in solid state, with an
effective magnetic moment meff of 0.58 mB at 1.8 K, which
increases up to 0.70 mB at 50 K without any further systematic
change up to 300 K. Thus, a small part of compound 5 is in
a paramagnetic state but exchange interaction between the
unpaired electrons appears to be weak. From a triplet-state
spin-only magnetic moment (2.83 mB), the estimated content
of the paramagnetic species at room temperature is about
6%. The present system differs from a diradical generated for
a doubly linked bis(corrole), wherein a strong exchange
interaction completely quenched the spin below 150 K in the
solid state.[14] The ESR spectrum of solid 5 at 77 K displayed
a signal typical of triplet-state biradicals[15] (gk = 2.0018, g? =
Angew. Chem. Int. Ed. 2016, 55, 1 – 6
ꢀ 2016 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim
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