Communication
are 43392Æ5 and 43374Æ8 cmÀ1 (5.3800Æ0.0006 and
5.3777Æ0.0010 eV), respectively. The vibronic structures ob-
served for 2 and 3 differ, however, from that for the unsubsti-
tuted complex.[9c,e] The relative positions and intensities of the
vibronic components are reproduced very well by our DFT cal-
culations[12] of the vibrational frequencies and Franck–Condon
factors at the B3PW91/6-311+ +G(d,p) level of theory
(Figure 1; the peak positions and assignments are given in the
Supporting Information, Table S1). In addition to the symmetric
metal–ligand stretch n1, accompanying the origin in the 1 spec-
tra,[9e,g] the spectrum of 2 (Figure 1) reveals a rather strong
peak corresponding to skeletal bending mode n2 (the observed
frequency 198 cmÀ1) in the 2+ ion. For phenylated derivative
3, the vibronic components corresponding to low-frequency
skeletal modes n3 and n4 appear in the experimental spectrum
in agreement with the DFT predictions (Figure 1 and Table S1).
A very weak n3 component is also revealed in the calculated
MATI structure of 2. The n2 and n3 vibrations are related to the
e1u skeletal bend in 1+ (135 cmÀ1).[9g] The n4 mode in 3+ in-
volves mainly the uncomplexed phenyl ring. A very weak com-
ponent with a similar Dncalc. value (69 cmÀ1) is predicted for 2+
(Figure 1, Table S1). However, in contrast to 3, this feature cor-
responds to the excitation of two quanta of ligand torsion
mode n5 in 2+. The changes in the MATI vibronic structure on
going from 2 to 3 reflect, therefore, the substituent difference.
The calculated n1–n5 atomic vibrational displacements for the
2+ and 3+ ions are given in the Supporting Information (Fig-
ure S2).
Figure 2. Expected (“pure” effect of two Me groups) and observed[9i,j] (effect
including the mutual substituent influence) experimental ionization energies
of [(h6-PhMe)2Cr].
Type 1 effect is shown by the 608, 1208 and 1808 rotamers, in
which the Me groups are well separated from each other (the
closest calculated H(Me)···H(Me) interligand distance in the 608
rotamer of 4 molecule is 3.214 ). This type of MeÀMe influ-
ence arises from changes in the electronic structure of com-
plex 1 on introduction of one electron-donating Me group.
These changes prevent the second Me substituent from shift-
ing the electron density and decreasing I. The contribution of
the Type 1 effect to the experimentally observed change in I is
52Æ5 cmÀ1 (0.62Æ0.06 kJmolÀ1). The Type 1 MeÀMe influence
is present in any 4 rotamer.
The presence of a single Me or Ph group in the sandwich
complexes studied provides corresponding I values that reflect
the “pure” substituent effects in bisarene systems. The precise
changes in I observed on going from 1[9e,g] to 2 and 3 were de-
termined in this work to be DI(2)=À698Æ5 cmÀ1 and DI(3)=
À716Æ8 cmÀ1, respectively. The B3PW91/6-311+ +G(d,p) cal-
culations taking into account the electronic and zero-point vi-
brational energies overestimate slightly DI (À783 and
À810 cmÀ1, respectively). Computations based solely on the
electronic energies give very similar DI values (À780 and
À788 cmÀ1, respectively) indicating the electronic (non-vibra-
tional) nature of the substituent effects in 2 and 3.
The data obtained in this work make it possible for the first
time to extract the experimental contributions of the mutual
substituent influence to the changes in I in polysubstituted
sandwiches. The [(h6-PhMe)2Cr] (4) system represents a conven-
ient model to demonstrate such a possibility. The MATI[9f,j] and
ZEKE[9i] spectra of 4 reveal close-lying origins at 42746 cmÀ1,
corresponding to three rotational isomers with the 608, 1208,
and 1808 angles between the CringÀCMe bonds, and a separate
peak at 42809 cmÀ1 arising from the 08 rotamer (eclipsed Me
positions). The ionization energy of predicted on the basis of
the doubled DI(2) value (1396 cmÀ1) is 42694 cmÀ1. This
energy can be taken as that resulting from the “pure” effect of
two Me groups. The shifts of I(4) from this value to higher en-
ergies arise from the mutual influence of the substituents
which decreases jDI(4)j. Two types of such MeÀMe influence
in bisarene complexes appear to be evident and are quantita-
tively described by the experimental I(4) shifts (Figure 2). The
In the 08 rotamer of 4, an additional effect (Type 2 MeÀMe
influence) appears, resulting from the direct interaction be-
tween the closely located Me groups.[9f] This effect contributes
63Æ5 cmÀ1 (0.76Æ0.06 kJmolÀ1) to the change in I, providing
a total DIMeÀMe value of 115 cmÀ1 (1.38 kJmolÀ1) for this rota-
tional isomer (Figure 2). Comparison with the predicted
change in I on going from 2 to 4 (À698 cmÀ1) demonstrates
that the MeÀMe mutual influence reduces the jDIj value by
7.4% for the 608, 1208, and 1808 rotational isomers and by
16.4% for the 08 rotamer of [(h6-PhMe)2Cr].
DFT calculations allow a study of the methylation effects in
bisarene systems separately for the neutral and cationic spe-
cies. The B3PW91/6-311+ +G(d,p) electronic energy changes
DEel (see the Supporting Information, Table S2) in reactions of
the substitution of H with Me [Eqs. (1) and (2)] are, respectively,
54.7 and 45.4 kJmolÀ1 demonstrating a stronger “pure” influ-
ence of the substituent in the neutral sandwich molecule. For
the 1208 rotamer of 4 [Eqs. (3) and (4)], the corresponding DEel
values are 55.4 and 46.5 kJmolÀ1, respectively. The DEel in-
crease on going from 2 to 4 is a result of the Type 1 MeÀMe
influence. Note that, in contrast to the “pure” Me influence,
this effect is stronger in the cation (Figure 3), providing a theo-
retical DIMeÀMe value of 0.4 kJmolÀ1 which is comparable with
the experimentally obtained value DIMeÀMe =0.62 kJmolÀ1
(Figure 2).
½ðh6-PhHÞ2Cr þ MeÁ ! ½ðh6-PhMeÞðh6-PhHÞCr þ HÁ
½ðh6-PhHÞ2Crþ þ MeÁ ! ½ðh6-PhMeÞðh6-PhHÞCrþ þ HÁ
ð1Þ
ð2Þ
Chem. Eur. J. 2016, 22, 4690 – 4694
4692
ꢀ 2016 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim