8468 J. Am. Chem. Soc., Vol. 121, No. 37, 1999
EVans et al.
using density functional theory. It has recently been shown that
this method gives the appropriate delocalized structures for the
porphyrin moiety,28-32 whereas Hartree-Fock theory leads to
structures corresponding to frozen resonance forms.33 The
calculations include electron correlation, which is an important
part of the description of the electronic structure of iron
porphyrins.34
(i) [Fe(porphine)]+. A full geometry optimization of the [Fe-
(porphine)]+ cation using nonlocal density functional methods
indicates that the lowest energy state for this system is the
intermediate spin state, S ) 3/2. The energies of the S ) 1/2 and
5
S ) /2 states lie 0.31 and 1.36 eV, respectively, above the
3
ground state. The computed geometry of the S ) /2 complex
has D4h symmetry. The iron atom sits in the plane of the
porphyrin ring. The Fe-N bond length of 1.96 Å is consistent
with expectations for an intermediate spin planar iron(III)
complex based on the spin state-structure correlations of
Figure 3. Stereoscopic packing diagram for [Fe(TPP)(C7H8)][CB11H6-
Cl6]‚2C7H8 (2).
Table 1. Summary of Structural Parameters for [Fe(TPP)(Arene)]+
in Complexes 1, 2, and 3 and for Fe(TPP)(C60)+ in 4
5
1
Scheidt and Reed.35 For the S ) /2 and S ) /2 structures, the
Fe-N distances are calculated to be 2.03 and 1.97 Å, respec-
tively. The other bond distances and angles agree well with
reported data for iron metalloporphyrins.28
benzene
2.817, 2.878 2.710, 2.927 2.948, 2.948 2.570, 2.690,
(av 2.85) (av 2.82) (av 2.95) 3.082, 3.143
1.975 (4) 1.974(4)
toluene
p-xylene
C60
Fe-C (Å)
Fe-Nav (Å) 1.959 (10) 1.974 (3)
(ii) [Fe(porphine)(benzene)]+. The molecular geometry of
[Fe(porphine)(benzene)]+ was optimized with the iron atom in
the intermediate S ) 3/2 spin state. The benzene molecule binds
to the iron atom in an η2 fashion, and, with no symmetry
restraints, the Fe-C distances are 2.81 and 2.76 Å. The overall
point group symmetry of the complex is close to Cs. Optimiza-
tion of the complex using a model with imposed Cs symmetry
gives a structure of insignificantly different energy (0.23 kcal/
mol). The iron atom lies 0.16 Å out of the mean plane of the
porphine toward the benzene carbon atoms, with an Fe-C
distance of 2.79 Å. The average Fe-N distance is 1.97 Å. The
benzene molecule is canted with respect to the porphine plane
by 14.8°. The benzene C-C bond η2 with respect to the iron
atom (1.392 Å) is lengthened relative to that calculated for
isolated benzene (1.381 Å). The binding energy of the benzene
molecule to the iron porphyrin cation was calculated to be -14.6
kcal/mol.
Fe‚‚‚CtPa (Å) 0.16
P24‚‚‚Arb 14.4°
0.15
0.07
12.6°
0.015
-
16.4°
a CtP ) Center of least-squares plane defined by the 24-atom
porphyrin core (P24). b Ar ) Least-squares plane defined by the six
carbon atoms of the ligated arene core.
the stronger electronic interactions expected for the more
electron-rich arenes are outweighed by steric effects once two
methyl groups are attached to the benzene. The average iron-
nitrogen distance in these complexes is 1.97 (1) Å. This is
comparable to the shortest reported value in an iron(III)
tetraphenylporphyrin complex, that of 1.961 (5) Å in the
carborane anion-coordinated species Fe(TPP)(CB11H12).27 The
shortness of the Fe-N distances reflects the weakness of the
arene interactions and suggests a very close approach to a “pure”
3
S ) /2 spin state expected for the bare Fe(TPP)+ cation, i.e.,
2
2
where there is complete depopulation of the antibonding dx -y
(iii) [Fe(porphine)(toluene)]+ and [Fe(porphine)(p-xy-
lene)]+. The molecular geometries of the toluene and p-xylene
complexes of iron porphine were calculated as above. In the
toluene complex, there are two possible η2 bonding situations.
One has the ortho and meta carbon atoms binding to the iron
atom, while the other, as found experimentally, has the meta
and para carbon atoms bound. Calculation shows that both
modes are possible and that only a 0.2 kcal/mol difference exists
between them, indicating the flatness of the arene-iron por-
phyrin potential surface. In the p-xylene complex, the C-C
bonds to the methyl groups lie parallel to an N-Fe-N vector,
and the ortho and meta carbon atoms are bound to the iron atom
in an η2 mode (Figure 5). This is the same as what is observed
experimentally. In both the toluene and xylene cases, the
dimensions of the iron porphyrin moiety and the orientation of
the arene are similar to those calculated for the [Fe(TPP)-
(benzene)]+ cation.
orbital, whose lobes are directed along the Fe-N bonds.23 Fe-
(TPP)(CB11H12) has been analyzed in terms of an admixed S )
5
3
3/2, /2 spin state, with 92% S ) /2 contribution.27
The small size of the iron atom, compared to the relaxed
porphyrin hole size, is responsible for the saddle-shaped ruffling
of the porphyrin cores seen in all three structures.26 As can be
seen in the displacement diagrams shown in Figure 4, the
particular pattern of ruffling appears to be influenced by steric
effects from the arene methyl groups in the toluene and p-xylene
structures. Because the ruffling leads to local variations in
planarity of the porphyrin core, we do not attempt to put a fine
interpretation on the trend in the dihedral angles (cant angles)
between the ligand arene planes and the porphyrin mean planes.
In fact, the canting is remarkably similar in all three structures
(15 ( 3°). Similarly, local effects make it difficult to place any
interpretation on the cant angles of the lattice-filling solvate
arenes. Small, local electrostatic influences are likely to control
the particular orientation of weak π-π interactions with some
of these lattice solvates, and, because of packing inefficiencies,
they can take unpredictable orientations.
(28) Matsuzawa, N.; Ata, M.; Dixon, D. A. J. Phys. Chem. 1995, 99,
7698.
(29) Delley, B. Physica B 1991, 172, 185.
(30) Obara, S.; Kashiwagi, H. J. Chem. Phys. 1982, 77, 3155.
(31) Jones, D. H.; Hinman, A. S.; Ziegler, T. Inorg. Chem. 1993, 32,
2092.
(32) Ghosh, A.; Almlo¨f, J.; Que, L. J. Phys. Chem. 1994, 98, 5576.
(33) Almlo¨f, J.; Fischer, T. H.; Gassman, P. G.; Ghosh, A.; Ha¨ser, M. J.
Phys. Chem. 1993, 97, 10964.
Calculated Molecular Structures. The molecular and elec-
tronic structures of the cationic porphine complexes [Fe-
(porphine)]+, [Fe(porphine)(benzene)]+, [Fe(porphine)(tolu-
ene)]+, and [Fe(porphine)(p-xylene)]+ have been investigated
(34) Kuramochi, H.; Noodleman, L.; Case, D. A. J. Am. Chem. Soc.
1997, 119, 11442.
(27) Gupta, P. G.; Lang, G.; Lee, Y. J.; Scheidt, W. R.; Shelly, K.; Reed,
C. A. Inorg. Chem. 1987, 26, 3022.
(35) Scheidt, W. R.; Reed, C. A. Chem. ReV. 1981, 81, 543.