In this paper we report a comparative experimental thermochemical
and ab initio quantum chemical study
of metal−ligand bonding and bonding energetics in the group 3,
lanthanide, group 4, and group 5 zerovalent bis(arene) sandwich complexes Sc(TTB)2 (1)
Y(TTB)2 (2), Gd(TTB)2
(3), Dy(TTB)2 (4),
Ho(TTB)2 (5), Er(TTB)2
(6),
Lu(TTB)2 (7), Ti(TTB)2
(8), Zr(TTB)2 (9),
Hf(TTB)2 (10),
Ti(toluene)2 (11), and
Nb(mesitylene)2 (12) (TTB =
η6-(1,3,5-tBu)3C6H3).
Derived D̄(M−arene) values by iodinolytic batch
titration calorimetry in toluene for the process
M(arene)2(solution) → M° +
2arene(solution) are rather large (kcal/mol): 45(3)
(1), 72(2) (2), 68(2) (3),
47(2) (4), 56(2)
(5), 57(2) (6), 62(2) (7),
49(1) (8), 55(2) (11), 64(3)
(9), 67(4) (10), and 73(3)
(12). Ab initio relativistic core
potential calculations on M(C6H6)2,
M = Ti, Zr, Hf, Cr, Mo, W, reveal that the metal−ligand bonding is
dominated
by strong (greater in group 4 than in the group 6 congeners) δ
back-bonding from filled metal d
x
y
and d
x
2
-y
2
orbitals
to unoccupied arene π orbitals, which decreases in the order Hf > Zr
> Ti > W > Mo > Cr. Calculated geometries
and D̄(M−C6H6) values (at the
MP2 level) yield parameters in favorable agreement with experiment.
The latter
analyses evidence a great sensitivity to electron correlation effects.
Marked, group-centered dependences of the
measured D̄(M−arene) values on the sublimation
enthalpies of the corresponding bulk metals, on the metal
atomic
volumes, and, for the lanthanides and Y, on the corresponding free atom
f → d promotion energies are also evident.