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DFT calculations of isolated [Br3]À anions predict large nega-
tive atomic charges at the two terminal atoms and a small
negative charge for the central one (À0.45 and À0.10 a.u., re-
spectively). Moreover, we performed calculations based on the
structure of the dianion in the solid state. In the crystal of 1,
atomic charges of À0.36 and À0.28 a.u. are predicted for Br7
and Br8, respectively, see Figure 2. Hence the hockey-stick–like
structure seems unfavorable due to Coulomb repulsion. How-
ever, the calculations also predict a weak s-hole and a corre-
sponding cylindrical negative charge accumulation around the
main axis of a [Br3]À subunit (Figure 5). This favors a hockey-
The presence of the cation can also be observed by NMR
spectroscopy and mass spectrometry. Since the cation is the
1
same for 1 and 2, they both show identical H NMR spectra,
where two signals are observed. One singlet at about d=
4.2 ppm is due to the ring CH2-groups and another singlet at
3.3 ppm is found for the methyl groups. The 13C NMR shows
signals at d=51 and 36 ppm for the CH2 and the CH3 groups,
respectively. In addition, the 13C NMR of the bromide 2 shows
a weak signal for the quarternary carbon C5 at d=151 ppm,
see Figures S3–S6 in the Supporting Information. The IR spec-
trum of the bromide salt 2 is shown in Figure S2. The CÀBr
stretching band emerged at 590 cmÀ1. The mass spectrum (+
ESI) of [C5H10N2Br]2[Br6] reveals two major signals at m/z 177
and 179 in a roughly 1:1 intensity ratio, see Figure S7. This pat-
tern corresponds to the isotopic abundance of a single bro-
mine atom. A signal observed at m/z 115 corresponds to a side
product probably formed by hydrolysis during the measure-
ment preparation.
The significant interactions of the two tribromide anions
forming a hexabromide dianion is also supported by IR and
single-crystal Raman spectroscopy, see Figure 7. In the region
Figure 5. Electrostatic potential in the range of À0.16 a.u. (red) to À0.13 a.u.
(blue) around [Br3]À mapped on an isosurface of the electron density value
0.001 a.u.
stick like structure for two [Br3]À anions, although this s-hole is
much weaker than for example, in Br2. The structure optimiza-
tions for two interacting [Br3]À anions indeed yield a T-shaped
minimum structure induced by the electrostatic interactions,
see Figure 6. The arrangement corresponding to the crystal
Figure 7. Far-IR spectrum and single-crystal Raman spectrum of
[C5H10N2Br]2[Br6].
of the BrÀBr stretching bands four Raman bands are observed
at 205, 181, 165 and 139 cmÀ1. In agreement with other tribro-
mides, the strongest Raman band at 165 cmÀ1 is assigned to
the symmetric stretching mode of the almost linear Br4-Br1-
Br7 tribromide unit.[19] The corresponding asymmetric stretch-
ing mode is observed at 181 cmÀ1. Both bands also appear in
the IR spectrum at 182 and 163 cmÀ1, in which the asymmetric
stretch is stronger than the symmetric one. The Raman band
at 205 cmÀ1 is associated with the short Br2ÀBr8 bond
(246.8 pm). The stretching vibration due to the larger Br2ÀBr6
bond (267.3 pm) is assigned to a band observed at 139 cmÀ1
in the Raman and at 137 cmÀ1 in the far infrared spectrum. The
vibrational spectra are also in good agreement with the calcu-
lated one for the T-shaped [Br6]2À minimum structure, as for
both structures the calculated bond distances are very similar.
The T-shape structure is most probably prevented, and there-
fore the force constant, by packing effects and steric hindrance
Figure 6. Comparison of the experimentally observed L-shaped [Br6]2À in
comparison to the calculated T-shaped minimum on the RI-MP2/aug-cc-
pVTZ, COSMO e=100 level of theory.
structure of 1 is about 9 kJmolÀ1 less favorable but prevails
due to additional interactions in the solid state with the bulky
cations, see Figure 2. The angle between the two interacting
tribromides is about 87.78, very close to the 908 expected for
s-hole interactions. A DFT based atoms-in-molecules (AIM)
analysis yields a bond critical point (BCP) with insignificantly
low electron density between atoms Br7 and Br8, see Figure 2.
In accordance with the intra-molecular bond distances in
[Br6]2À this ion should be considered as two halogen bonded
[Br3]À units, which can formally be described as an [Br6]2À dia-
nion.
Chem. Eur. J. 2018, 24, 1 – 5
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