(r-Diimine)chromium Complexes
Table 1. Crystallographic Data for 1, 2, and 3·thf
1
2
3 ·thf
chem. formula
fw
C38H44CrN4
608.77
C38H54CrN2O4
654.83
C42H62CrF6N2O5P
871.91
space group
a, Å
b, Å
c, Å
ꢁ, deg
V, Å
C2/c, No. 15
10.7469(6)
13.0959(6)
23.2424(12)
99.348(3)
3227.7(3)
4
C2/c, No. 15
21.835(2)
12.5567(10)
27.350(2)
90.743(7)
7498.1(11)
8
P21/n, No. 14
17.2368(3)
12.4547(2)
20.9158(4)
90.085(3)
4490.2(2)
4
Z
T, K
100(2)
100(2)
100(2)
F calcd, g cm-3
reflns collected/2Θmax
unique reflns/I > 2σ(I)
no. of params/restr.
λ, Å/µ(KR), cm-1
R1a/goodness of fitb
wR2c (I > 2σ (I))
residual density, eÅ-3
1.253
1.160
1.290
19891/66.48
6084/4758
205/0
0.71073/3.87
0.0487/ 1.041
0.1209
55245/55.00
8549/6022
420/0
0.71073/3.44
0.0562/1.022
0.0950
110846/65.00
16062/13116
561/31
0.71073/3.58
0.0460/ 1.030
0.1178
+0.30/-0.60
+0.30/-0.46
+0.71/-0.71
2
a Observation criterion: I > 2σ(I). R1 ) ∑||Fo| - |Fc||/∑|Fo|. b GOF ) [∑[w(Fo - Fc )2]/(n - p)]1/2 c wR2 ) [∑[w(Fo - Fc )2]/∑[w(Fo )2]]1/2, where
.
2
2
2
2
2
2
2
w ) 1/σ2(Fo ) + (aP)2+ bP, P ) (Fo + 2Fc )/3.
hexafluorophosphate (0.13 g, 0.40 mmol) with stirring for 1.5 h at
20 °C. The original dark-brown color of the solution changed to
green-brown. The resulting solution was filtered and the solvent
removed by evaporation under reduced pressure. The residue was
washed 3-4 times with n-hexane in order to remove ferrocene.
The crude compound was dissolved in tetrahydrofuran and filtered
through celite. After slow evaporation of the solvent, single crystals
of X-ray quality were obtained. Yield: 0.48 g (92%). ESI mass
spectrometry (pos. ion; CH2Cl2): m/z 654 {3-PF6}+. Anal. calcd
for C42H62N2O5F6PCr: C, 57.8; H, 7.1; N, 3.2; Cr, 6.0. Found: C,
57.9; H, 7.2; N, 3.2; Cr, 6.1.
Calculations. All calculations were performed by using the
ORCA program package.24 The geometry optimizations were
carried out at the BP86 level25a,b of DFT. The all-electron
Gaussian basis sets were those reported by the Ahlrichs
group.26,27 Triple-ꢀ-quality basis sets with one set of polarization
functions on the chromium, oxygen, and nitrogen were used
(TZVP). The carbon and hydrogen atoms were described by
slightly smaller polarized split-valence SV(P) basis sets that are
double-ꢀ-quality in the valence region and contain a polarizing
set of d functions on the non-hydrogen atoms.26 The auxiliary
basis sets for all complexes used to expand the electron density
in the calculations were chosen to match the orbital basis.
Electronic energies and properties were calculated at the
optimized geometries with the B3LYP functional.25c,d In this
case, the same basis sets were used. The self-consistent field
calculations were tightly converged (1 × 10-8 Eh in energy, 1
× 10-7 Eh in the density change, and 1 × 10-7 in the maximum
element of the DIIS25e,f error vector). The geometry search for
all complexes was carried out in redundant internal coordinates
without imposing geometry constraints. Corresponding orbitals28
and density plots were obtained by the program Molekel.29 We
describe our computational results for 1 and 2 containing
noninnocent ligands using the BS approach.30–32
Since, for complexes 1 and 2 studied here, one can obtain
broken-symmetry solutions to the spin-unrestricted Kohn-Sham
equations,30–32 we will adopt the following notation: The system
is divided into two fragments. The notation BS(m,n) refers to a
broken symmetry state with m unpaired spin-up electrons on
fragment 1 and n unpaired spin-down electrons essentially
localized on fragment 2. In most cases, fragments 1 and 2
correspond to the metal and the ligand, respectively. Note that
in this notation a standard high-spin open-shell solution would
be written down as BS(m+n,0). In general, the BS(m,n) notation
refers to the initial guess to the wave function. The variational
process does, however, have the freedom to converge to a
solution of the form BS(m-n,0), where effectively the n-spin-
down electrons pair with n < m spin-up electrons on the partner
fragment. Such a solution is then a standard MS ) (m - n)/2
unrestricted Kohn-Sham solution. As explained elsewhere,28
the nature of the solution is investigated via the corresponding
orbital transformation, which via the corresponding overlaps
displays whether the system is to be described as a spin-coupled
or a closed-shell solution.
X-Ray Crystallographic Data Collection and Refinement
of the Structures. A black single crystal of 1 and orange-brown
crystals of 2 and 3· thf were coated with perfluoropolyether,
picked up with nylon loops, and mounted in the nitrogen cold
stream of the diffractometer. A Bruker-Nonius KappaCCD
diffractometer equipped with a Mo-target rotating-anode X-ray
source and a graphite monochromator (Mo KR, λ ) 0.71073 Å)
was used throughout. Final cell constants were obtained from
least-squares fits of all measured reflections. Intensity data were
corrected for absorption using intensities of redundant reflections.
The structures were readily solved by Patterson methods and
subsequent difference Fourier techniques. The Bruker ShelXTL22
software package was used for the solution, refinement, and
artwork rendering of the structures. All non-hydrogen atoms were
anisotropically refined, and hydrogen atoms were placed at
(24) Neese, F. ORCA, version 2.6, revision 4; Max Planck Institute for
Bioinorganic Chemistry: Mu¨lheim, Germany, 2007.
(25) (a) Becke, A. D. J. Chem. Phys. 1988, 84, 4524. (b) Perdew, J. P.
Phys. ReV. B 1986, 33, 8822. (c) Lee, C.; Yang, W.; Parr, R. G. Phys.
ReV. B: Condens. Matter Mater. Phys. 1988, 37, 785. (d) Becke, A. D.
J. Chem. Phys. 1993, 98, 5648. (e) Pulay, P. Chem. Phys. Lett. 1980,
73, 393. (f) Pulay, P. J. Comput. Chem. 1992, 3, 556.
(30) Noodleman, L.; Peng, C. Y.; Case, D. A.; Monesca, J. M. Coord.
Chem. ReV. 1995, 144, 199.
(31) (a) Noodleman, L.; Case, D. A.; Aizman, A. J. Am. Chem. Soc. 1988,
110, 1001. (b) Noodleman, L.; Davidson, E. R. Chem. Phys. 1986,
109, 131. (c) Noodleman, L.; Norman, J. G.; Osborne, J. H.; Aizman,
C.; Case, D. A. J. Am. Chem. Soc. 1985, 107, 3418. (d) Noodleman,
L. J. Chem. Phys. 1981, 74, 5737.
(26) Scha¨fer, A.; Horn, H.; Ahlrichs, R. J. Chem. Phys. 1992, 97, 2571.
(27) Scha¨fer, A.; Huber, C.; Ahlrichs, R. J. Chem. Phys. 1994, 100, 5829.
(28) Neese, F. J. Phys. Chem. Solids 2004, 65, 781.
(29) Molekel I, AdVances InteractiVe 3-Graphics for Molecular Sciences.
(32) Kapre, R. R.; Bothe, E.; Weyhermu¨ller, T.; De Beer George, S.;
Muresan, N.; Wieghardt, K. Inorg. Chem. 2007, 46, 7827.
Inorganic Chemistry, Vol. 47, No. 13, 2008 5965