Schr o1 der et al.
used (B3-LYP and B-P86) agree well as far as relative energies
are concerned. For the sake of brevity, only B3-LYP energies are
reported here because this hybrid functional shows a somewhat
better performance in the prediction of thermochemical data.25
3. Experimental Results
EI mass spectra of several trialkyl vanadates(V) have
already been reported by Adler et al. in 1976. Unlike the
larger homologues, the trimethyl compound OV(OCH
3
2
3
)
3
, 1,
Harmonic vibrational frequencies were calculated from analytical
+
gives rise to an abundant molecular ion, 1 (m/z ) 160),
with an intensity of ca. 20% relative to the base peak at m/z
) 130. The latter is part of a “quartet” of fragment ions
between m/z ) 127 and m/z ) 130 with intensities of ca.
70:20:20:100 upon EI, a spectral feature to which we return
further below. In addition, loss of atomic hydrogen, [1 -
second derivatives of the total electronic energy. The optimized
structures are visualized with the program Molden.26 The transition
+
structures for hydrogen migrations within the cation 1 (see below)
were located with Gaussian 98,27 using B3-LYP in conjunction with
the QST (quadratic synchronous transit) approach, followed by
energy calculations as well as gradient and second-derivative
calculations with Turbomole. Recalculation of the energy is
necessary due to different implementation of some functionals in
the two program packages. However, the gradients calculated with
Turbomole were small so that the effect on the structures was
considered negligible. Using the harmonic frequencies, thermody-
namic properties at 0 and 298 K were computed with the program
Viewmol 2.3.
+
H] (m/z ) 159), was observed by Adler et al. along with
some consecutive fragmentations. Our EI measurements are
fully consistent with these earlier data. Investigation of the
perdeuterated compound OV(OCD
quartet of fragments (shifted to m/z ) 131, 133, 135, and
37) to be assigned to formal losses of CX O (X ) H, D; n
5-2), respectively, from the molecular ion. In the
3 3
) (1) further allows the
1
)
n
On the basis of the B3-LYP results, the Franck-Condon factors,
which determine the vibrational fine structure of the photoionization
process, have been obtained along the lines of a procedure described
previously.28 Briefly, the equilibrium structures of the electronic
ground states of the neutral species and of the molecular cation
together with the corresponding unscaled harmonic force fields were
used to obtain the multidimensional Franck-Condon integrals with
the aid of the recurrence formulas derived by Doktorov, Malkin,
and Man’ko,29 which take mode mixing effects and geometrical
changes into account.30 Although the computational scheme
described in ref 28 allows for separable one-dimensional anhar-
monic treatments, all internal degrees of freedom of the molecular
systems studied here were considered as harmonic modes. Each of
following sections, the dissociation behavior of the molecular
+
ion 1 is examined by several mass spectrometric means. In
-
addition, the fragmentations of the molecular anion 1 and
of the potassium adduct [1‚K] are discussed briefly.
+
+
3
.1. Fragmentation Behavior of 1 . The MI spectrum
+
of mass-selected 1 recorded in the sector-field mass
spectrometer is dominated by expulsion of formaldehyde
(∆m ) -30) along with small amounts of H and CH O
2 4
losses (Table 1). The formal elimination of CH O (∆m )
-32) may be assigned to either consecutive expulsions of
4
2 2
CH O and H or the generation of an intact methanol
molecule. Upon CA, loss of atomic hydrogen to afford [1 -
1
the equivalent C -symmetric structures of the cation was treated
+
H] appears as a new channel, and the fragments observed
as an isolated minimum, and couplings between the vibrational
levels of these structures were neglected. The Franck-Condon
profiles have been calculated for 0 K; no major changes of the
Franck-Condon envelope for ionization of 1 and 1 were found
D
for a vibrational Boltzmann distribution at 298 K. The correspond-
ing quantum number combinations of the numerous vibrational
overlap integrals have been generated with an algorithm described
elsewhere.31 From the resulting Franck-Condon envelope, the
between ∆m ) -30 and ∆m ) -33 resemble the quartet
observed in the EI mass spectrum. The notable signal for
∆
m ) -31 evolving upon CA can clearly be assigned to
+
the loss of an intact methoxy group from 1 . Absence of
this channel in the MI spectrum implies that direct V-O
bond cleavage is a high-energy process which is inaccessible
+
for metastable 1 .
+
relative energy-dependent photoionization cross-sections have been
obtained assuming a stepwise increase of the photoionization cross-
section for each vibronic transition.
Similar to the molecular ion 1 , the MI and CA spectra
+
of [1 - H] are characterized by losses of formaldehyde
(∆m ) -30). Upon CA, also expulsions of CH O and CH O
3
4
are observed. In contrast, the MI spectra of the ions [1 -
+
+
(
(
(
25) Koch, W.; Holthausen, M. C. A Chemist’s Guide to Density Functional
Theory; Wiley-VCH: Weinheim, Germany, 2000; p 137.
26) Schaftenaar, G.; Noordik, J. H. J. Comput.-Aided Mol. Des. 2000,
2 3
CH O] and [1 - CH O] both show pronounced dehydro-
genations (∆m ) -2) in that considerable percentages of
the mass-selected ions decompose in the field-free region
14, 123.
27) Gaussian 98, Revision A.7: Frisch, M. J.; Trucks, G. W.; Schlegel,
H. B.; Scuseria, G. E.; Robb, M. A.; Cheeseman, J. R.; Zakrzewski,
V. G.; Montgomery, J. A., Jr.; Stratmann, R. E.; Burant, Dapprich,
S.; Millam, J. M.; Daniels, A. D.; Kudin, K. N.; Strain, M. C.; Farkas,
O.; Tomasi, J.; Barone, V.; Cossi, M.; Cammi, R.; Mennucci, B.;
Pomelli, C.; Adamo, C.; Clifford, S.; Ochterski, J.; Petersson, G. A.;
Ayala, P. Y.; Cui, Q.; Morokuma, K.; Malick, D. K.; Rabuck, A. D.;
Raghavachari, K.; Foresman, J. B.; Cioslowski, J.; Ortiz, J. V.; Baboul,
A. G.; Stefanov, B. B.; Liu, G.; Liashenko, A.; Piskorz, P.; Komaromi,
I.; Gomperts, R.; Martin, R. L.; Fox, D. J.; Keith, T.; Al-Laham, M.
A.; Peng, C. Y.; Nanayakkara, A.; Gonzalez, C.; Challacombe, M.;
Gill, P. M. W.; Johnson, B.; Chen, W.; Wong, M. W.; Andres, J. L.;
Gonzalez, C.; Head-Gordon, M.; Replogle, E. S.; Pople, J. A. Gaussian,
Inc., Pittsburgh, PA, 1998.
(
see footnotes b and c of Table 1); usually, the fraction of
33
decomposing ions is far below 1% in MI spectra. Obvi-
ously, loss of molecular hydrogen is particularly facile for
these two ions formed upon dissociative EI of 1. Therefore,
not surprisingly, also the corresponding CA spectra are
dominated by dehydrogenation. The consecutive dehydro-
genation reactions provide a rationale for the quartet observed
between m/z ) 127 and m/z ) 130. Loss of formaldehyde
+
from 1 (m/z ) 160) gives rise to m/z ) 130, which then
(
28) Berger, R.; Fischer, C.; Klessinger, M. J. Phys. Chem. A 1998, 102,
(32) Adler, B.; Lachowicz, A.; Thiele, K.-H. Z. Anorg. Allg. Chem. 1976,
427, 241.
7157.
(
(
(
29) Doktorov, E.; Malkin, I.; Man’ko, V. J. Mol. Spectrosc. 1977, 56, 1.
30) Dushinsky, F. Acta Physicochim. URSS 1937, 7, 551.
31) Berger, R.; Klessinger, M. J. Comput. Chem. 1997, 18, 4887.
(33) For another example of a rapid, unimolecular dehydrogenation of
transition-metal complexes, see: Schr o¨ der, D.; Schwarz, H. J. Am.
Chem. Soc. 1990, 112, 5947.
1978 Inorganic Chemistry, Vol. 43, No. 6, 2004