(
)
504
P.R. Kemper et al.rChemical Physics Letters 293 1998 503–510
w
x.
metal ions all have relatively strong bond dissocia-
75% excited state 22 . The excited states were
resistant to collisional deactivation by H2 and, be-
cause the 4s configuration binds only very weakly to
Ž
.
tion energies BDEs and similar structures for the
first and second clusters. Very different structures
are found for larger numbers of ligands, however. In
the third cluster, both Fe and Co assume a ‘T’ shape
w x
H2 6 , caused a significant perturbation in the data
for the first association. This was ultimately solved
by using surface ionization which only forms ;1%
excited Niq. After formation, the isotope of interest
w
x
w x
7,17,18 while Cu has a planar D3h geometry 9 .
Both Fe and Co have six H2 ligands in their first
58
60
either Niq or Niq is mass selected in the first
w
x
Ž
.
solvation spheres while Cu has four 7,9,17,18 .
w
x
qŽ
.
Nui et al. 20 have examined the Ni H2
1, 2, 4, 6
quadrupole and injected into a driftrreaction cell
filled with typically 10 Torr of H2. An equilibrium
between the various Ni H2 cluster products ns
0–6 is quickly established as the ions are moved
through the 4 cm long cell with a small electric field.
The field is small enough that no measurable pertur-
bation of the thermodynamic temperature occurs.
The ions then exit the cell and are mass analyzed in
a second quadrupole. The resulting mass peaks are
recorded and integrated and, together with the pres-
ions using an unrestricted Hartree–Fock approach
qŽ
.
Ž
Ž
.
with correlated valence electrons . Their results for
n
.
the first two clusters are in general agreement with
our findings. Nui et al. predict, however, that Niq
will add between six and ten H2 ligands — a
prediction at odds with previous theoretical and ex-
qŽ
.
qŽ
.
perimental studies of Fe H2 n, Co H2
n
and
qŽ
.
Cu H2 n, and, as will be seen, with the present
results. The geometries and bond energies for the
larger clusters also disagree with the present results
due to the assumption of D4h and Oh symmetries for
Ž
.
Ž .
.
sure of H2 pH and the temperature T are used to
calculate the equilibrium constant Kp and standard
2
Ž
qŽ
.
o
Ž
.
Ni H2
and possibly to the rather small basis
free energy DGT
4, 6
sets used.
Niq
H
)n 760
Ž
.
In this Letter we present experimental association
enthalpies and entropies for the sequential clustering
of H2 ligands to ground state Niq ions. These results
are complimented by high-level ab initio calculations
that give insight into the bonding mechanisms pre-
2
Kpo s
,
1
Ž .
)
Niq
H
ny1 pH
Ž
.
2
2
DGTo syRT ln Kpo .
2
Ž .
qŽ
.
sent. The Ni H2 clusters will be compared with
other late transition metal clusters to illustrate the
Measurements were taken as a function of tempera-
ture from 77 to 780 K. The resulting plots of DGTo
vs. T were linear over the experimental temperature
range, yielding D HTo and DSTo as the intercept and
slope, respectively. To determine the heat of reaction
at 0 K D H0 , the experimental DGT vs. T curve is
matched with a corresponding theoretical curve cal-
culated using the theoretically determined structures
and vibrational frequencies. The low vibrational fre-
quencies and possible mass discrimination are varied
n
evolution of the bonding in the series. In addition,
qŽ
.
n
the Ni H2 clusters will be compared with previ-
qŽ
.
w x
ous results on the Ni CO ions 11 to evaluate
how well bonding concepts transfer from the H2 to
the CO systems.
n
o
o
Ž
.
2. Experimental
to determine the value and uncertainty in the bond
dissociation energy BDE'yD H0 sD0 23 .
o
Ž
. w x
Experimental details have been given previously
q
w
x
2,5,21 . Briefly, the Ni ions were formed either by
Ž
.
glow discharge using an Ar bath gas , by electron
3. Theoretical methods
Ž
.
impact on Ni CO or by surface ionization of
4
Ž
.
Ni CO . Electronic state chromatography experi-
w4
x
Ž2
.
ments 22 showed that both ground state D, 3d9
The product ions discussed here were all exam-
ined theoretically both to determine the molecular
parameters needed to analyze the experimental data
and to identify factors important in the bonding.
Ž2, 4
and electronically excited Niq)
F, 4s1 3d8 were
.
present when the discharge or electron impact sources
were used electron impact ionization produced )
Ž