P. A. Koutentis et al.
tal structure reveals two types of radical···radical contacts
parallel to the stacking direction (Figure 2). We define the
staggered radical pair within the stack as dimer II–III and
the near-eclipsed pair as dimer I–II, thus leading to two dif-
ferent exchange parameters J1 and J2 along the stacking di-
rection. Normally, the magnitude of the exchange interac-
tion can be estimated by computing the energy of the triplet
and broken-symmetry singlet for pairs of radicals.[22] Howev-
er, this relies on a basis set and functional that accurately re-
produce the spin-density distribution of the isolated radical.
Whereas the current studies confirm the p* nature of the
singly occupied orbital, significant discrepancies between
the calculated and estimated (from EPR) spin-density distri-
butions caution against such an approach being reliable in
this case. Such problems with accurately reproducing the
spin distribution in these triazinyls have been noted previ-
ously and indicate the requirement for a multiconfigurational
approach.[8] Such approaches are significantly more compu-
tationally expensive, and examining a pair of radicals is cur-
rently prohibitive. Instead we have applied a more qualita-
tive approach to understand the behavior of 6.
Figure 7. SOMO orbitals of radical pairs I–II and II–III for radical 6 cal-
culated at the UB3LYP/6-311+GACTHUNTGRNEUNG(d,p) level of theory.
pair is substantially closer to eclipsed (f2 =15.78), the inter-
plane separation is simultaneously increased (3.52 versus
3.48 ꢁ in dimer II–III), which leads to reduced orbital over-
lap. As a consequence, we assign this second interaction to
the weaker ferromagnetic interaction, +1.28 cmꢀ1).
According to the McConnell-I model,[23] atoms with posi-
tive spin density are exchange-coupled to atoms with nega-
tive spin density in neighboring molecules to give ferromag-
AB
ij
netic coupling (HAB =ꢀSA·SBSJ 1iA1Bj ). In 6, the eclipsed
Conclusion
centrosymmetric radical pair I–II leads to the triazinyl moi-
eties of one radical located above the benzo-fused ring of
the other radical and vice versa. Since the spin density on
the triazinyl ring is predominantly positive but negative on
the benzo-fused ring (Table 1), this arrangement is anticipat-
ed to favor a ferromagnetic interaction.
The crystal structure and the magnetic properties of 1,3-di-
phenyl-7-(thien-2-yl)-1,4-dihydro-1,2,4-benzotriazin-4-yl (6)
have been investigated. The radicals p-stack in one-dimen-
sional columns along the b axis and comprise slipped radical
pairs (I–II and II–III) with alternate short and long interpla-
nar distances. Magnetic susceptibility measurements reveal
the existence of weak ferromagnetic interactions within the
1D stacks. Spin-density distributions determined by EPR
spectroscopy, SOMO orbitals computed using DFT methods,
and a magneto-structural model have allowed us to correlate
the estimated exchange interactions to different dimer pairs
within the distorted p stack; J2 = +1.28 cmꢀ1 and J1 = +
7.12 cmꢀ1, which correspond to the radical pairs I–II and II–
III, respectively. The slippage of radicals along the stacking
direction causes the orthogonality of the SOMO orbitals of
the radical pairs. Elegant studies by Oakley and co-workers
on heavier p-block radicals have shown that the nature of
the magnetic exchange along the p-stacking direction is sen-
sitive to the degree of slippage and can be controlled by
fine-tuning the steric properties of the substituents.[3c] Fur-
ther modifications to the benzotriazinyl framework are in
progress to optimize both the intradimer separation and the
degree of slippage.
In the molecular orbital model,[24] the exchange coupling
interaction (JAB =2kij +4cijSij ) is proportional to the size of
2
the overlap between SOMO orbitals (Sij), which depends on
the distance and orientation of the interacting radicals.
When the two interacting SOMO orbitals are orthogonal to
each other, Sij is zero and the exchange coupling interaction
is ferromagnetic. A qualitative analysis of the SOMO orbi-
tals of radical pairs I–II and II–III of radical 6 indicates that
in radical pair II–III the orthogonality is more pronounced
due to the greater slippage of the radicals (f1 =45.98)
(Figure 7).
The benzotriazinyl moiety, which bears most of the orbital
density (and hence spin density), is located on top of the ad-
jacent thien-2-yl substituent that bears little orbital density.
The radical pair II–III of radical 6 has the same interplanar
distance and slippage angle (3.48 ꢁ, f1 =45.98) as the 1D p-
stacked molecules of radical 4 (3.46 ꢁ and f=468). The
crystal packing of radical 4 is comprised exclusively of these
slipped p-stacked molecules that interact between them, and
that interaction was ferromagnetic (J= +6.90 cmꢀ1),[8] which
is not dissimilar to that estimated from our analysis of the
magnetic susceptibility of 6 (+7.12 cmꢀ1). The radical pair
I–II is less slipped than II–III; the commencement of some
overlap of regions of positive spin density may lead to
a weakening of the ferromagnetic interaction or indeed ulti-
mately make it antiferromagnetic. However, whereas this
Experimental Section
Synthetic procedures: The synthesis and characterization of radical 6 can
be found in the Supporting Information.
Instrumental analyses: Cyclic voltammetry (CV) measurements were per-
formed using a Princeton Applied Research Potentiostat/Galvanostat
&
6
&
ꢂ 2012 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim
Chem. Eur. J. 0000, 00, 0 – 0
ÝÝ
These are not the final page numbers!