The Case of [Tl(µ-F)3Ru(PPh3)3]
In the fluoro carbonyl complexes [MF2(CO)2(PR3)2] (M
) Ru or Os),9a the strong π-accepting CO ligands stabilize
the dπ-orbitals of M, which increases the HOMO-LUMO
gap in the [M(CO)2(PR3)2]2+ fragment. As the HOMO-
LUMO gap is a rough estimate of the hardness of a
molecule,48b its increase corresponds to the hardening of M,
which strengthens the ionic component of the M-F bonds.
Analogously, phosphine complexes of ruthenium(II) are soft
and, in general, do not form complexes with neutral oxygen
donors. However, phosphine complexes of ruthenium are
oxophilic when containing hard coligands, such as imines
or CO. The hardened ruthenium atom then forms aqua and
triflato complexes, as in [RuCl(OH2)(PNNP)]+ (PNNP )
N,N′-bis{(o-diphenylphosphino)benzylidene}-(1S,2S)-[di-
aminocyclohexane]),51 [RuCl2(CO)(OH2)(PEt3)2],52 and [Ru(O3-
SCF3)2(OH2)(CO)(dppe)].53 The latter complex forms, in the
presence of an excess of water, the extremely interesting
species [Ru(CO)(OH2)3(dppe)]2+, in which the strong π-ac-
cepting ligand and the double positive charge cooperate in
enhancing the hardness of the metal, and hence its oxophi-
licity.
The hard/soft mismatch argument works equally well for
the π-stabilized, 16-electron cations [MFL4]+ (M ) d6 ion;
L ) phosphine ligand). Let us consider [MF2L4] and the
corresponding fluoride dissociation product, the 16-electron
species [MFL4]+. In fact, [MFL4]+ and [MF2L4] derive from
the acid-base reaction between fluoride and [ML4]2+ or
[ML4]+, respectively. As any Lewis base (in this case
fluoride) reduces the hardness of an ionic acid,48a the 16-
electron complex [MFL4]+ is softer than the 14-electron
[ML4]2+ fragment. Thus, the hard/soft mismatch between M
and F is more severe in the neutral 18-electron complex
[MF2L4] than in the corresponding 16-electron cation [MFL4]+.
Besides the metal-based effects discussed above, the “hard/
soft-mismatch” argument also explains ligand-based effects,
and in particular the stability of the binuclear fluoro-bridged
species of the type M-F-M′, such as [Ru2(µ-F)3(PEt3)6]+
(where M′ ) [Ru(PEt3)3]2+)16 and 1, 2, and 3 (where M′ )
Tl+). Fluoride bridging between Ru and a soft acid M′
(Ru-F-M′) is a softer ligand than the terminal fluoro ligand
(Ru-F) because of the symbiotic relationship of the former
with M′ (a soft acid).54 As both Ru(II) and Tl(I) are soft (η
) 5.86 and 7.16 eV, respectively),55a this applies both to
[Ru2(µ-F)3(PEt3)6]+, where M′ is [Ru(PEt3)3]2+, and to 1,
where M′ is Tl+.
(η ) 5.86 eV) and F is hard (η ) 7.01 eV),55 the Ru-F
bond in [RuF2(PPh3)3] will be weak. In the hypothetical
reaction
[RuF2(PPh3)3] + TlF f [Tl(µ-F)3Ru(PPh3)3]
the soft thallium atom interacts with the hard F atoms of
[RuF2(PPh3)3], and the soft ruthenium center with the hard
F atom of TlF. On the basis of the principle of symbiosis,54
these interactions harden ruthenium and soften fluoride in
[RuF2(PPh3)3]. As a result, the above reaction causes a
decrease of the hard/soft mismatch between Ru and F in
[RuF2(PPh3)3], and the Ru-F bond gets stronger.
A special case of bridging fluoride is given by the
bifluoride anion FHF-. Stable d6 and d8 bifluoride complexes
have general formulas [RuH2-n(FHF)nP4] (n ) 1 or 2),56
[PtH(FHF)P2],57 and [Pd(FHF)(Ph)P2].58 These complexes,
which exhibit Ru-F‚‚‚F linkages with F‚‚‚F distances in the
range 2.28-2.40 Å and different degrees of bending,58a seem
to contradict the principle of symbiosis, as both H+ and HF
are very hard.55 However, there is an inverse relationship
between hardness and molecular size59 that allows one to
predict that bifluoride FHF- is softer than F-. To put that
on a quantitative basis, we estimated the hardness η of
fluoride and bifluoride by using Pearson’s operational
definition of chemical hardness of anionic bases B- as the
average of the ionization potential I and electron affinity A
of the corresponding radicals B‚.60,61 Thus, we calculated η
of F‚ and FHF‚ from the corresponding ionizaton potentials
(I) and electron affinities (A). The I and A values of the
F‚ radical were calculated from the energies of F‚, F+, and
F- at the HF, MP2, and CCSD levels with the 6-31+G*
basis set. The calculated I of F‚ (MP2, 17.08; CCSD, 17.01
eV) is underestimated but fairly close to the experimental
value (17.42 eV) (Table 5).48a The calculated electron affinity
is in excellent agreement with the experimental value (3.40
eV)48a for the MP2 model (3.40 eV), whereas the CCSD
(55) (a) Pearson, R. G. Inorg. Chem. 1988, 27, 734. (b) The fact that Tl(I)
is soft with η ) 7.16 eV, yet F is hard with η ) 7.01 eV, sounds
confusing. However, it should be noted that, as the hardness scales
for cations and anions span different ranges, the numerical values of
η(anion) and η(cation) cannot be compared. Only comparison between
anions or cations are meaningful: Tl(I) (η ) 7.16 eV) is soft in
comparison to Li+ (η ) 35.12 eV), and F- (η ) 7.16 eV) is hard in
comparison to I- (η ) 3.70 eV).
(56) (a) Whittlesey, M. K.; Perutz, R. N.; Greener, B.; Moore, M. H. Chem.
Commun. 1997, 187. (b) Jasim, N. A.; Perutz, R. N.; Foxon, S. P.;
Walton, P. H. J. Chem. Soc., Dalton Trans. 2001, 1676. (c) Kirkham,
M. S.; Mahon, M. F.; Whittlesey, M. K. Chem. Commun. 2001,
813.
(57) (a) Jasim, N. A.; Perutz, R. N. J. Am. Chem. Soc. 2000, 122, 8685.
(b) Hintermann, S.; Pregosin, P. S.; Ru¨egger, H.; Clark, H. C. J.
Organomet. Chem. 1992, 435, 225.
(58) (a) Roe, D. C.; Marshall, W. J.; Davidson, F.; Soper, P. D.; Grushin,
V. V. Organometallics 2000, 19, 4575. (b) Pilon, M. C.; Grushin, V.
V. Organometallics 1998, 17, 1774. (c) Pilon, M. C.; Grushin, V. V.
J. Am. Chem. Soc. 1998, 119, 44769.
The above considerations allow us to explain why 1 is
formed instead of [RuF2(PPh3)3]. As ruthenium(II) is soft
(50) According to Mulliken and Jaffe´, the electronegativity ø is defined as
ø ) (I + A)/2. Both ø and η are dominated by the ionization potential
I, which is the largest contribution to both of them. Thus, large η
values parallel large ø values. See also: Huheey, J. E.; Keiter, E. A.;
Keiter, R. L. Inorganic Chemistry: Principles of Structure and
ReactiVity; HarperCollins: New York, 1993.
(51) Stoop, R. M.; Bachmann, S.; Valentini, M.; Mezzetti, A. Organome-
tallics 2000, 19, 4117.
(52) Sun, Y.; Taylor, N. J.; Carty, A. J. Inorg. Chem. 1993, 32, 4457.
(53) Mahon, M. F.; Whittlesey, M. K.; Wood, P. T. Organometallics 1999,
18, 4068.
(59) A general inverse relationship has been found between the global
hardness of a molecule and molecular size (roughly estimated by the
number of atoms in the molecule). See: Baekelandt, B. G.; Mortier,
W. J.; Schoonheydt, R. A. Struct. Bonding 1993, 80, 211.
(60) Pearson, R. G. In The Concept of the Chemical Bond; Maksic, Z. B.,
Ed.; Springer: Berlin, 1990; p 46.
(54) (a) Jørgensen, C. K. Inorg. Chem. 1964, 3, 1201. (b) For a
quantomechanical interpretation, see: Nalewajski, R. F. Struct. Bond-
ing 1993, 80, 117.
(61) Analogous calculations for open-shell radicals (including F‚) have been
reported: (a) Kar, T.; Scheiner, S.; Sannigrahi, A. B. THEOCHEM
1988, 427, 79. (b) Roy, R. K.; Pal, S. J. Phys. Chem. 1995, 99, 17822.
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