Krogh-Jespersen et al.
cations. In the structure of 3, the sulfate anion exhibited a positional
disorder about one of its triad axes; as a consequence, three of the
oxygen atoms were split and were placed on partially occupied
sites. Crystals of 3, obtained from different batches over a period
of years, all exhibited this disorder. The salt 6 crystallized in the
chiral space group P212121 and could only be refined successfully
as a racemic twin. Such refinement necessitated the introduction
of a large number of distance and thermal constraints to facilitate
convergence, a procedure that is not uncommon for crystals with
this type of twinning.17c
Computational Details. All the computational data presented
here are based on calculations using density-functional theory
(DFT)18 methods as implemented in the GAUSSIAN03 series of
computer programs.19 A relativistic, 28e effective core potential
(ECP) and corresponding valence basis set (8s7p6d/[6s5p3d]) were
used for the Ru atom (SDD model);20 the second-row elements C,
N, and O carried all-electron, full double-ꢁ plus polarization function
basis sets (D95(d));21 and hydrogen atoms were assigned a double-ꢁ
21G basis set.22 Calculations of electronic ground-state properties
made use of the standard three-parameter hybrid exchange func-
tional of Becke23 (B3) and the correlation functional of Lee, Yang,
and Parr (LYP).24 Geometries of monomeric (NH3)5RuL+ (L )
deprotonated p-hydroxybenzoate; deprotonated 2,4-dihydroxyben-
zoate), (NH3)5RuL2+ (L ) acetate; benzoate; p-hydroxybenzoate;
2,4-dihydroxybenzoate) and (NH3)5RuL3+ (L ) hypoxanthine-κN7;
7-methylhypoxanthine-κN9; 1,3,9-trimethylxanthine-κN7) species,
a dimeric (NH3)10Ru2L24+ (L ) 2,4-dihydroxybenzoate) complex,
and the free ligands were fully optimized assuming vacuum
conditions.
Electronic transition energies and intensities (oscillator strengths,
f) were calculated using the time-dependent DFT (TD-DFT)
formalism25 and the ECP/basis sets just described. Assignment of
a particular electronic transition (π f π*, π f d LMCT, etc.) was
based on consideration of the magnitude of the oscillator strength,
the largest transition amplitude(s) for the excitation, and by
visualization of the contributing MOs. The experimental spectra
were measured in a condensed phase (aqueous solution or a mull)
and to facilitate comparisons of computed and experimental
transition energies electrostatic effects of the polar medium should
be incorporated into the TD-DFT wave functions. This was
accomplished via the self-consistent polarizable conductor model
(CPCM),26 always choosing water as the “solvent”.
Furthermore, we found the conventional B3LYP combination
of functionals to be suitable for excited-state calculations only on
the neutral organic ligands and on metal complexes carrying a net
+3 charge. For the calculations on metal complexes featuring
smaller net charge, it was necessary to make computational
adjustments to trace analogous electronic transitions through the
various complexes. With the B3LYP functionals, the transition
energies become too low (sometimes by more than 0.5 eV) in the
complexes which contain negatively charged ligands. Applying non-
hybrid functionals worsened the situation, in some cases making
the transition energies appear negative. Rather than introducing a
number of correction factors, we decided to increase the fractional
contribution of Hartree-Fock (exact) exchange in the hybrid
exchange functional above the 20% value prescribed in the B3
functional.23 The tendency for DFT to underestimate the band gap
for weakly interacting systems, and hence for TD-DFT to under-
estimate the electronic excitation energies, when local, time-
independent functionals are employed is well documented.27
Increasing the contribution of Hartree-Fock exchange to the overall
exchange functional increases the orbital energy separation between
the occupied and the unoccupied levels and thus increases the
computed transition energies, including the energies of the charge-
transfer states of interest here. The molecular orbitals and hence
configurations that contribute to a particular transition are not
significantly altered by this procedure; neither are the computed
intensities. A crude survey using (NH3)5RuL2+ (L ) acetate,
benzoate) as test molecules indicated that a combination of 40%
Hartree-Fock exchange (and hence 60% Slater local exchange)
was more suitable for calculations on excited states of metal
complexes with a net +2 charge, that is, the (NH3)5RuIII-L
complexes which contain a ligand carrying a single negative charge
(e.g., L ) p-hydroxybenzoate; 2,4-dihydroxybenzoate). The 40/60
fractional mix of Hartree-Fock/Slater exchange appeared to be
appropriate for excited states of the dimeric complex (overall +4
net charge) as well. For (NH3)5RuIII-L complexes containing a
ligand with a net charge of -2 (e.g., L ) deprotonated p-
hydroxybenzoate or deprotonated 2,4-dihydroxybenzoate), we found
that a 50/50 mix of Hartree-Fock/Slater exchange worked well.
Results and Discussion
Crystal Structures of 2, 3, and 6. The structures of 2
and 3 each contain [(NH3)5RuIIIDHB-]2+ cations (DHB- )
2,4-dihydroxybenzoate), sulfate anions, and either 0.5 dim-
ethylformamide (DMF) molecules (2) or two water molecules
(3), respectively, per asymmetric unit. Structure 6 contains
[(NH3)5RuIIITMX]3+ cations (TMX ) 1,3,9-trimethylxan-
thine), and both tetrachlorozincate and chloride anions in
equal amounts. Views of the four unique cations in the three
structures are shown in Figure 2, while Figure 3 shows a
general Cartesian coordinate system useful for describing
these and related structures, and for interpreting the electronic
spectra of their crystals. In each structure, five N(NH3) atoms
and an O(carboxylate) atom from DHB- or an N(imine) atom
from TMX complete a distorted octahedron about Ru. The
largest deviations from octahedral symmetry in structures 2
and 3 (Table 2) are associated with the DHB- ligands, as
evidencedbytheN(ax)-Ru-X(ligand)andN(eq)-Ru-X(ligand)
angles, both of which, on average, deviate substantially (ca.
5°) from their ideal values of 180° and 90°, respectively (the
magnitude of the deviations can be seen from the standard
deviations in the averages reported in Table 2). Using the
same angular measures, structure 6 exhibits more nearly a
regular octahedral coordination geometry than does 2 or 3.
(18) Parr, R. G.; Yang, W. In Density-Functional Theory of Atoms and
Molecules; University Press: Oxford, 1989.
(19) Gaussian 03, ReVision B.03: Frisch, M. J.; et al. Gaussian, Inc.:
Pittsburgh, PA, 2003; see Reference 1 in the Supporting Information
for the complete reference to Gaussian 03.
(20) Becke, A. D. J. Chem. Phys. 1993, 98, 5648–5652.
(21) Lee, C.; Yang, W.; Parr, R. G. Phys. ReV. B 1988, 37, 785–789.
(22) Andrae, D.; Ha¨ussermann, U.; Dolg, M.; Stoll, H.; Preuss, H. Theor.
Chim. Acta 1990, 77, 123–141.
(23) Dunning, T. H.; Hay, P. J. In Modern Theoretical Chemistry; Schaefer,
H. F., Ed.; Plenum: New York, 1976; pp 1-28.
(24) Binkley, J. S.; Pople, J. A.; Hehre, W. J. J. Am. Chem. Soc. 1980,
102, 939–947.
(25) Casida, M. E.; Jamorski, C.; Casida, K. C.; Salahub, D. R. J. Chem.
Phys. 1998, 108, 4439–4449.
(26) Cossi, M.; Rega, N.; Scalmani, G.; Barone, V. J. Comput. Chem. 2003,
24, 669–681.
(27) (a) See, for example, Tozer, D. J. J. Chem. Phys. 2003, 119, 12697–
12699. (b) Dreuw, A.; Weisman, J. L.; Head-Gordon, M. J. Chem.
Phys. 2003, 119, 2943–2946. (c) Perdew, J. P. Int. J. Quant. Chem.,
Quant. Chem. Symp. 1986, 19, 497–523.
9816 Inorganic Chemistry, Vol. 47, No. 21, 2008