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2.1.3. (E)-1,2-Bis[3-(dibromomethyl)phenyl]diazene (8)
and (E)-[3-(tribromomethyl)phenyl][3-(dibromomethyl)phen-
yl]diazene (9). To compound 7 (0.95 g, 2.13 mmol) in dry CCl4
(30 ml) were added NBS (0.76 g, 4.3 mmol, 2 equiv.) and BPO
(31 mg). The reaction mixture was stirred for 2 h under reflux
and the mixture was then hot-filtered. The filtrate was washed
with CCl4 (10 ml). The organic phase was washed with warm
water and dried (Na2SO4). The crude mixture was separated
by chromatography on silica (toluene/PE, 2:3 v/v) to afford
0.43 g (0.817 mmol, 38%) of 8 and 0.15 g (0.248 mmol, 12%) of
9, both orange crystalline solids. X-ray-quality crystals of
tetrabromide 8 were grown by slow diffusion of hexane into a
chloroform solution (m.p. 142–143 ꢀC). RF = 0.50 (CH2Cl2/
to these conditions, the occupancy ratio refined to
0.9601 (19):0.0399 (19).
All H atoms were modelled in riding mode. C—H distances
2
3
˚
were 0.95, 1.00 and 0.99 A for sp CH, sp CH and CH2 groups,
respectively. In all cases, Uiso(H) values were set at 1.2Ueq(C).
Displacement ellipsoid plots of all structures can also be
found in the supporting information as Figs. S11–S15.
2.3. Calculations
CLP PIXEL calculations (Gavezzotti, 2008, 2011) were
based on electron-density cubes calculated with GAUS-
SIAN09 (Frisch et al., 2016) from B3LYP/6-311(d,p) and MP2/
6-311(d,p) wavefunctions of the various molecules at the fixed
geometries from the crystals, with carbon–hydrogen distances
1
cyclohexane, 1:2 v/v). H NMR (CDCl3, 200 MHz): ꢀ 6.75 (s,
2H), 7.52–7.60 (m, 2H), 7.71–7.77 (m, 2H), 7.89–7.95 (m, 2H),
8.12–8.14 (m, 2H). 13C NMR (CDCl3, 50 MHz): ꢀ 40.0, 120.6,
124.7, 129.3, 129.6, 143.0, 152.1. MS (EI, 70 eV) m/z (I%):
522 (80) [M+], 443 (60), 275 (70), 247 (100), 168 (30). X-ray-
quality crystals of pentabromide 9 were grown by slow diffu-
sion of hexane into a chloroform solution (m.p. 130–132 ꢀC).
˚
renormalized to neutron values (1.083 A). CLP results for the
MP2 6-311G(d,p) densities are consistently about 3 kJ molÀ1
in energy above the results based on B3LYP 6-311G(d,p)
densities, and are reproduced in full in Table S1 in the
supporting information, with a summary in Table 2. Standard
CLP parameters were used, where a cluster was built up to a
1
RF = 0.57 (CH2Cl2/cyclohexane, 1:2 v/v). H NMR (CDCl3,
˚
distance of 40 A between molecular centres of mass.
200 MHz): ꢀ 6.75 (s, 1H), 7.53–7.62 (m, 2H), 7.73–7.77 (m, 1H),
7.90–7.96 (m, 2H), 8.14–8.18 (m, 2H), 8.58–8.60 (m, 1H). 13C
NMR (CDCl3, 50 MHz): ꢀ 34.8, 40.0, 120.6, 121.5, 124.0, 124.7,
129.0, 129.1, 129.4, 129.7, 143.1, 148.1, 151.6, 152.1. MS (EI,
70 eV) m/z (I%): 600 (40) [M+], 521 (100), 353 (20), 325 (30),
275 (40), 247 (70), 168 (20), 167 (20).
CE lattice energies were calculated with CrystalExplorer 17
(McKinnon et al., 2004; Turner et al., 2017). A B3LYP/6-
311G(d,p) wavefunction was calculated for a single molecule
with the TONTO quantum chemical program (Jayatilaka &
Grimwood, 2003), and intermolecular energies were then
calculated according to the CE algorithm. It should be noted
that the scale factors used for the various terms in the
expression for the lattice energy have been optimized for the
6-31G(d,p) basis set (which in its standard form does not
include Br) (Thomas et al., 2018), but we expect the differ-
ences with respect to 6-311G(d,p) to be minimal. Clusters
2.2. X-ray crystallography
Crystal data, data collection and structure refinement
details are summarized in Table 1. Structure 9 was found to be
nonmerohedrally twinned. The orientation matrices for the
two components were identified using the program CELL_
NOW (Sheldrick, 2008a), with the two components being
related by a 180ꢀ rotation around the real a axis. The two
components were integrated using SAINT (Bruker, 2010) and
corrected for absorption using TWINABS (Sheldrick, 2012).
The structure was solved using direct methods with only the
non-overlapping reflections of component 1. The structure
was refined using the HKLF 5 routine with all reflections of
both components (including the overlapping ones), resulting
in a fraction of 0.481 (1) for the second component.
˚
were formed with molecules within a distance of 10 A from
the Hirshfeld surface (McKinnon et al., 2004, 1998; Spackman
& McKinnon, 2002) of the central molecule, and all fragments
found within this distance were completed to full molecules.
Convergence of the calculated lattice energies was only
reached with clusters of this size (see Fig. 2). It should be
noted that the output of CE features the total interaction
energy of the cluster with the central entity, which, when the
cluster is centred around one molecule, needs to be halved to
arrive at a number per mole for the lattice energy.
Fingerprint di–de plots (Spackman & McKinnon, 2002)
were generated in CE from the calculated Hirshfeld surfaces,
and the percentage populations divided over the various
atomic species were recorded. These percentages were then
used in a spreadsheet for calculating enrichment ratios as
defined by Jelsch and co-authors (Jelsch et al., 2014).
If disorder was evident from the difference maps, various
models were tried for the best fit. Often the disorder popu-
lations were sufficiently low that the original model still
yielded the best fit. For structure 9, minor but clearly resolved
disorder was observed for the dibromomethyl group. The
major and minor moieties were restrained to have similar
geometries (SAME restraint of SHELXL, with an s.u. value of
3. Results and discussion
3.1. Structures
2
˚
0.02 A ). Atom C10 was included in the disorder modeling and
1,2 and 1,3 C—C distances involving the major and minor
components of C10 were restrained to be similar (SADI
ij
˚
restraint of SHELXL, with an s.u. value of 0.02 A). U
components of the anisotropic displacement parameters for
3.1.1. Compound 5. Compound 5 contains only three Br
atoms. It crystallizes in the space group P21/c, with one mol-
ecule in the asymmetric unit, and packs in a herringbone
pattern (Fig. 3).
˚
disordered atoms closer to each other than 2.0 A were
restrained to be similar (SIMU restraint of SHELXL). Subject
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Acta Cryst. (2018). C74, 1692–1702
Vande Velde et al.
Comparison of computationally cheap methods 1695