COMMUNICATION
Table 1. CDA Results for 2
basis seta
d
b
r
∆
BS2
BS3
0.540
0.547
0.324
0.323
-0.415
-0.417
-0.047
-0.044
a BS2: 6-311G(2d,p) on iron and 6-31G(d) on other atoms. BS3:
6-311G(2d,p) and LANL2DZ ECP on iron and 6-31G(d) on other atoms;
d ) electron donation; b ) back-donation; r ) repulsive polarization; ∆ )
rest term.
the question of whether a metal-ligand bond should be
classified as covalent or of the donor-acceptor type may be
answered by charge decomposition analysis (CDA),9 which
has been used to determine the nature of bonding interactions
in both transition-metal6-8,10,11 and main-group12 complexes.
CDA considers the bonding in a complex in terms of the
(fragment) molecular orbital interactions between two closed-
shell fragments, in this case Fe(dmpe)2 and NHdNH. CDA
allows the relative amount of electron donation (d), back-
donation (b), and the interaction between the occupied
orbitals of both fragments leading to repulsive polarization
(r) to be calculated. In addition, the rest term, ∆, resulting
from the mixing of unoccupied orbitals on the two fragments
is also determined. ∆ is a highly sensitive indicator that may
be used to determine the nature of the bonding interaction
between two fragments: in donor-acceptor complexes, this
term should be virtually zero.6
The bond lengths calculated with the B3LYP density
functional and basis set BS113 are in good agreement with
the experimental bond distances for 2, and a comparison
shows that the average difference for core bond lengths is
0.045 Å. The results of CDA calculations, using this
optimized geometry with two different basis sets,14 are given
in Table 1.
Figure 1. Donation (left) and back-donation (right) orbitals for 2. Hydrogen
atoms on phosphine ligands have been omitted for clarity.
Table 2. AIM Results for 2
F(rc)a
32F(r)a
Fe-N1
Fe-N2
N1-N2
N1-Fe-N2
Fe-P6
0.095
0.094
0.377
0.473
0.077
0.089
0.089
0.083
0.350
0.349
-0.573
0.219
0.204
0.210
0.227
Fe-P7
Fe-P8
Fe-P9
a F(rc) ) electron density; 32F(r) ) Laplacian of electron density.
complex 2 is a donor-acceptor π complex between diazene
and iron(0) rather than a hydrazido fragment binding to an
iron(II) metal center.
Further evidence that 2 should be considered as a
donor-acceptor complex is provided by Bader’s Atoms In
Molecules (AIM) theory.16 AIM theory calculates the
electron density, F(r), and the Laplacian of the electron
density, 32F(r), which yields information regarding the nature
of the bonding.11,16,17 The results of the AIM analysis are
shown in Table 2. For all of the Fe-N and Fe-P bonds, the
values of the Laplacian are typical of systems with closed-
shell, donor-acceptor interactions.11,18
Quite remarkably, the deprotonation of the hydrazine
complex 1 to form the diazene complex 2 is reversible, and
the reaction of 2 with the weak acid 2,6-lutidinium triflate
reforms the hydrazine complex 1. This was proven by
labeling the hydrazine complex with 15N and monitoring the
reaction mixture with NMR spectroscopy. Upon treatment
of the poorly soluble orange dichloride salt of hydrazine
complex 1 with KOBut in tetrahydrofuran-d8 (THF-d8), a
yellow solution formed and a 15N NMR signal at -314.4
ppm for diazene complex 2 was observed (Figure 2a).
Residual uncoordinated hydrazine (A) at -335.8 ppm was
also present. After the addition of 2,6-lutidinium triflate, a
color change to orange and two broad doublets at 5.06 and
4.21 ppm (1JH-N ) 79 Hz) for the protons on the hydrazine
ligand of 1 were observed in the 1H NMR spectrum as well
as a 15N signal at -388.8 ppm (Figure 2b), indicating that
the initial deprotonation was indeed reversible. A broad
signal for hydrazinium (NH3NH32+, B) at -331.5 ppm from
The donation to back-donation ratio (d/b), ca. 1.7, shows
that there is significant back-donation from the metal center
to the unoccupied orbitals on the ligand. The orbitals involved
in donation and back-donation are shown in Figure 1. The
rest term ∆ is virtually zero,15 which clearly shows that
(9) Dapprich, S.; Frenking, G. J. Phys. Chem. 1995, 99, 9352–9362.
(10) (a) Dapprich, S.; Frenking, G. Angew. Chem., Int. Ed. Engl. 1995,
34, 354–357. (b) Boehme, C.; Frenking, G. Organometallics 1998,
17, 5801–5809. (c) Szilagyi, R. K.; Frenking, G. Organometallics
1997, 16, 4807–4815. (d) Dapprich, S.; Frenking, G. Organometallics
1996, 15, 4547–4551. (e) Vyboishchikov, S. F.; Frenking, G. Theor.
Chem. Acc. 1999, 102, 300–308.
(11) Decker, S. A.; Klobukowski, M. J. Am. Chem. Soc. 1998, 120, 9342–
9355.
(12) Frenking, G.; Dapprich, S.; Kohler, K. F.; Koch, W.; Collins, J. R.
Mol. Phys. 1996, 89, 1245–1263.
(13) Geometry optimization was undertaken using the B3LYP density
functional and BS1: 6-311+G(2d,p) basis set and LANL2DZ ECP
on iron, together with the 6-31G(d) basis set on all other atoms using
Gaussian03. CDA was performed with the CDA2.1 program developed
by S. Dapprich and G. Frenking (available from ftp.chemie.uni-
marburg.de) using the B3LYP/BS2 (6-311G(2d,p) basis set on iron,
together with the 6-31G(d) basis set on all other atoms) or the B3LYP/
BS3 (6-311G(2d,p) basis set and LANL2DZ ECP on iron, together
with the 6-31G(d) basis set on all other atoms). AIM calculations were
performed with AIMAll (version 08.05.04), Todd A. Keith, 2008
(available from aim.tkgristmill.com).
(16) Bader, R. F. W. Atoms in Molecules: A Quantum Theory; Oxford
University Press: Oxford, U.K., 1994.
(14) The inclusion of an all-electron basis set did not have any deleterious
effects on the CDA undertaken here, with the results being virtually
identical regardless of the basis set used.
(15) For donor-acceptor complexes, the absolute value of ∆ is generally
<0.05. For example, see: Frenking, G.; Fro¨hlich, N. Chem. ReV. 2000,
100, 717–774. Vyboishchikov, S. F.; Frenking, G. Chem.sEur. J.
1998, 8, 1428–1438, and ref 8.
(17) Frenking, G.; Sola, M.; Vyboishchikov, S. F. J. Organomet. Chem.
2005, 690, 6178–6204.
(18) By way of comparison, the Laplacian of the electron density in the
iron-alkyne bond of the donor-acceptor complex Fe(CO)4(C2H2) was
shown to be 0.358. In contrast, the Laplacian of the electron density
for the C-C bond (at -1.008) was found to be consistent with that
of shared, covalent interactions.11
6 Inorganic Chemistry, Vol. 48, No. 1, 2009