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Acta Crystallographica Section E: Crystallographic Communications logoLink to Acta Crystallographica Section E: Crystallographic Communications
. 2015 Oct 28;71(Pt 11):1384–1387. doi: 10.1107/S2056989015019933

Crystal structure of the new hybrid material bis­(1,4-diazo­niabi­cyclo­[2.2.2]octa­ne) di-μ-chlorido-bis­[tetra­chlorido­bis­muthate(III)] dihydrate

Marwen Chouri a, Habib Boughzala a,*
PMCID: PMC4645089  PMID: 26594516

The title salt, (C6H14N2)2[Bi2Cl10]·2H2O, bears a close resemblance to its homologous anti­monate structure. The crystal structure is formed by an alternating packing of organic and inorganic layers along [001] and contains isolated (Bi2Cl10)4− bi­octa­hedra.

Keywords: crystal structure, hybrid material, DABCO

Abstract

The title compound bis­(1,4-diazo­niabi­cyclo­[2.2.2]octa­ne) di-μ-chlorido-bis­[tetra­chlorido­bis­muthate(III)] dihydrate, (C6H14N2)2[Bi2Cl10]·2H2O, was ob­tain­ed by slow evaporation at room temperature of a hydro­chloric aqueous solution (pH = 1) containing bis­muth(III) nitrate and 1,4-di­aza­bicyclo­[2.2.2]octane (DABCO) in a 1:2 molar ratio. The structure displays a two-dimensional arrangement parallel to (100) of isolated [Bi2Cl10]4− bi­octa­hedra (site symmetry -1) separated by layers of organic 1,4-diazo­niabi­cyclo­[2.2.2]octane dications [(DABCOH2)2+] and water mol­ecules. O—H⋯Cl, N—H⋯O and N—H⋯Cl hydrogen bonds lead to additional cohesion of the structure.

Chemical context  

In recent years, many new organic–inorganic hybrid com­pounds have been synthesized because of their inter­esting physical behaviour and applications in optoelectronics (Jakubas & Sobczyk, 1990). The main inter­esting optical activity observed in this kind of compounds is generally the result of the presence of an active ns 2 lone pair (Chaabouni et al., 1998) in the inorganic parts. It can also be the result of an important structural distortion in the organic cations (Ishihara et al., 1990; Lacroix et al., 1994). The combination of the particular properties of the organic and inorganic moieties can induce inter­esting new properties. In particular for the halogenated bis­muth or anti­mony anionic networks (Ahmed et al., 2001; Jakubas et al., 2005), the anionic arrangement leads to four kinds of dimensionalities: quantum dots (zero-di­men­sional, 0D) observed in hybrids such as (C6H14N2)2[Sb2Cl10]·2H2O (Ben Rhaiem et al., 2013), quantum wires (one-dimensional, 1D) as is the case in the structure of (C2H7N4O)2 [BiCl5] (Ferjani et al., 2012), quantum wells (two-dimensional, 2D) and a bulk (three-dimensional, 3D) topology. The organic cations are usually filling the empty space left by the inorganic network. Here we report the structure of a new hybrid bis­muthate compounds having a 0D dimensionality with respect to its inorganic part.graphic file with name e-71-01384-scheme1.jpg

Structural commentary  

The structural unit (Fig. 1) of the compound is built up by an isolated dimeric deca­chlorido­bis­muthate(III) [Bi2Cl10]4− anion, two organic 1,4-diazo­niabi­cyclo­[2.2.2]octane dications [(DABCOH2)2+] and two water mol­ecules. These components are linked by strong hydrogen bonds. The inorganic moiety is an edge-sharing di­octa­hedron located site with symmetry Inline graphic. The two (DABCOH2)2+ dications (Fig. 4) in the structural unit are related to the dimeric [Bi2Cl10]4− units by means of N2—H2⋯Cl2 and N2—H2⋯Cl1 inter­actions.

Figure 1.

Figure 1

Plot of the mol­ecular entities of (C6H14N2)2[Bi2Cl10]. 2H2O, showing the atom numbering scheme. Atomic displacement ellipsoids are drawn at the 50% probability level and H atoms are shown as small spheres of arbitrary radius. [Symmetry codes: (i) −x + 1, −y + 1, −z + 1; (ii) −x + 2, y + 0.5, −z + 0.5; (iii) x − 1, −y + 0.5, z + 0.5.]

Figure 4.

Figure 4

Hydrogen-bonding environment of the cationic organic part of the title compound.

The bond lengths and angles of the dication are within normal ranges and are comparable to those observed in similar structures. Table 1 summarizes the most important distances in these mol­ecules. The C—N bond lengths vary from 1.479 (11) to 1.508 (12) Å. The C—C bond lengths vary from 1.500 (13) to 1.535 (13) Å. The angles in this mol­ecule are between 109.8 (7) and 110.7 (8)° for C—N—C and between 108.1 (8) and 109.2 (8)° for N—C—C.

Table 1. Selected geometric parameters ().

BiCl5 2.588(2) N1C5 1.504(9)
BiCl3 2.601(2) N2C4 1.489(10)
BiCl2 2.6611(19) N2C2 1.492(9)
BiCl4 2.704(2) N2C6 1.494(10)
BiCl1 2.8610(19) C1C2 1.517(11)
BiCl1i 2.884(2) C6C5 1.531(11)
N1C1 1.485(9) C3C4 1.493(11)
N1C3 1.503(9)    

Symmetry code: (i) Inline graphic.

As listed in Table 1, the bond lengths of bis­muth to terminal chlorides [2.587 (5)–2.704 (5) Å] are shorter than the bridging ones [2.863 (4) and 2.884 (4) Å]. The Cl—Bi—Cl angles vary from 84.46 (12) to 95.4 (2)° for the cis and 173.25 (15) to 176.64 (15)° for the trans arrangement. Using Shannon’s method (Shannon, 1976), the distortion index of 1.87 (9) × 10−3 reveals only a small distortion in the BiCl6 octa­hedron. The bis­muth 6s 2 electron pair has stereochemical activity and the hydrogen-bond orientation can be related to the bis­muth polyhedra distortion. The final Fourier difference map reveals four large peaks at approximately 1 Å from the bis­muth atom that can be attributed to the delocalization of the 6s 2 electron pair as is the case in most other bis­muth-based structures.

The (C6H14N2)2[Bi2Cl10]·2H2O structure is very close to that of (C6H14N2)2[Sb2Cl10]·2H2O (Ben Rhaiem et al., 2013). The cell parameters of both structures can be compared after making a necessary transformation (cba) in the Pnnm anti­mony unit cell to be comparable to the bis­muth one (Table 2). Apart from the higher symmetry of the anti­mony structure, an important distortion is noted in the SbCl6 octa­hedra confirmed by the Shannon’s distortion index (Shannon,1976) [6.20 (9) × 10−3], more than three times larger than the one for the title bis­muth compound [1.87 (9) × 10−3] . It is worth noting that the water mol­ecule plays a more efficient role in the bis­muth based compound. In (C6H14N2)2[Sb2Cl10]·2H2O, the H2O mol­ecules are only linked to (DABCOH2)2+ and in the (C6H14N2)2[Bi2Cl10]·2H2O structure they are directly hydrogen bonded to both the organic and inorganic parts (Fig. 3). The atomic radius of bis­muth is larger than that for anti­mony, and thus an increase of the cell volume is expected. In fact, the main increase is observed for the c axis [13.99 (2) Å] because the metallic coordination polyhedra are aligned along this axis. On the other hand, a roughly equivalent decrease of the b parameter is observed causing the unit-cell volume of the two compounds approximately to be the same. A general comparison of the two structures reveals that they have a similar 3D pattern, built up by isolated bi­octa­hedra, (DABCOH2)2+ cations and water mol­ecules leaving empty the same voids. On the other hand, the water mol­ecule immediate environment is more regular in the Sb structure (Fig. 3 b) and the (DABCOH2)2+ cation is more distorted in the Bi structure (Fig. 3 a) explaining the lowering of the symmetry in the title compound.

Table 2. Comparison of the cell parameters of the structures of [Bi2Cl10](C6H14N2)22H2O and [Sb2Cl10](C6H14N2)22H2O.

  [Bi2Cl10](C6H14N2)22H2O [Sb2Cl10](C6H14N2)22H2O Parameter variation (%) [(X Bi X Sb)/(X Sb)]100
Crystal system monoclinic orthorhombic -
Space group P21/c Pnnm Pnmn (cba) -
a () 7.875(3) 9.162(1) => 7.566(2) 4.08(2)
b () 18.379(5) 20.689(7) => 20.689(7) 11.16(3)
c () 10.444(4) 7.566(2) => 9.162(1) 13.99(2)
() 105.95(3) 90.00 -
V (3) 1453.4(9) 1446.8(7) 0.45(7)

Figure 3.

Figure 3

Water-mol­ecule hydrogen-bonding inter­action between organic and inorganic parts: (a) in the title compound [symmetry codes: (i) x + 1, −y + 0.5, z − 0.5; (ii) x, −y + 0.5, z + 0.5]; (b) in the structure of (C6H14N2)2[Sb2Cl10]·2H2O

Supra­molecular features  

As shown in Fig. 2, every anionic unit is linked to four water mol­ecules and two organic cations. The water mol­ecules (Fig. 3) are strongly hydrogen bonded to the inorganic part by means of O—HW1⋯Cl5ii [symmetry code: (ii) x, −y + 0.5, z + 0.5] and O—HW2⋯Cl5 inter­actions. The DABCO cations are hydrogen bonded to water mol­ecules, leading to chains composed of organic moieties, inorganic clusters and H2O mol­ecules running along the b direction (Fig. 1). The water mol­ecules stabilize the structure by playing a bridge role between organic and inorganic parts. Furthermore, they ensure the link in the other directions leading to a hydrogen-bond-based three-dimensional network. The structure can be seen (Fig. 5) as an alternation of organic and inorganic layers parallel to (100) which are linked by a strong hydrogen-bond pattern (Table 3).

Figure 2.

Figure 2

Hydrogen-bonding environment of the anionic part of the structure. [Symmetry codes: (i) −x + 1, −y + 1, −z + 1; (ii) −x + 1, −y + 1, −z + 1.5; (iii) x, −y + 0.5, z − 0.5.]

Figure 5.

Figure 5

Projection of the crystal structure of the bis­muthate hybrid compound along the c axis, showing the alternation of organic and inorganic layers.

Table 3. Hydrogen-bond geometry (, ).

DHA DH HA D A DHA
OwHw2Cl5 0.91 2.63 3.458(8) 163
N1H1Owii 0.91 1.87 2.739(10) 159
OwHw1Cl5iii 0.91 2.80 3.475(9) 138
N2H2Cl1 0.91 2.73 3.352(6) 127
N2H2Cl2 0.91 2.65 3.325(7) 132

Symmetry codes: (ii) Inline graphic; (iii) Inline graphic.

Synthesis and crystallization  

(C6H14N2)2[Bi2Cl10]·2H2O crystals were obtained at ambient conditions by dissolving Bi(NO3)3·5H2O and DABCO (C6H12N2) in water in a 1:2 molar ratio. The pH of the solution was adjusted to 1 with HCl. The mixture was stirred and kept for several days. Colourless crystals were obtained after a few weeks.

Refinement  

Crystal data, data collection and structure refinement details are summarized in Table 4. The isotropic displacement parameter of the hydrogen atoms for the water mol­ecule were fixed to be restrained to be approximately 1.5 times those of the parent atom and the water mol­ecule geometries were regularised using distance restraints

Table 4. Experimental details.

Crystal data
Chemical formula (C6H14N2)2[Bi2Cl10]2H2O
M r 1036.88
Crystal system, space group Monoclinic, P21/c
Temperature (K) 293
a, b, c () 7.875(3), 18.379(5), 10.444(4)
() 105.95(3)
V (3) 1453.4(9)
Z 2
Radiation type Mo K
(mm1) 13.03
Crystal size (mm) 0.5 0.3 0.2
 
Data collection
Diffractometer EnrafNonius CAD-4
Absorption correction scan (North et al., 1968)
T min, T max 0.013, 0.074
No. of measured, independent and observed [I > 2(I)] reflections 3159, 3159, 2681
R int 0.035
(sin /)max (1) 0.638
 
Refinement
R[F 2 > 2(F 2)], wR(F 2), S 0.036, 0.102, 1.06
No. of reflections 3159
No. of parameters 142
No. of restraints 2
H-atom treatment H atoms treated by a mixture of independent and constrained refinement
max, min (e 3) 3.48, 2.57

Computer programs: CAD-4 EXPRESS (EnrafNonius, 1994), XCAD4 (Harms Wocadlo, 1995), SHELXS97 (Sheldrick, 2008), SHELXL2014 (Sheldrick, 2015), DIAMOND (Brandenburg, 2006) and publCIF (Westrip, 2010).

Supplementary Material

Crystal structure: contains datablock(s) I. DOI: 10.1107/S2056989015019933/vn2102sup1.cif

e-71-01384-sup1.cif (122.9KB, cif)

Structure factors: contains datablock(s) I. DOI: 10.1107/S2056989015019933/vn2102Isup2.hkl

e-71-01384-Isup2.hkl (252.4KB, hkl)

CCDC reference: 971956

Additional supporting information: crystallographic information; 3D view; checkCIF report

supplementary crystallographic information

Crystal data

(C6H14N2)2[Bi2Cl10]·2H2O F(000) = 968
Mr = 1036.88 Dx = 2.369 Mg m3
Monoclinic, P21/c Mo Kα radiation, λ = 0.71073 Å
a = 7.875 (3) Å Cell parameters from 3158 reflections
b = 18.379 (5) Å θ = 2.2–2.7°
c = 10.444 (4) Å µ = 13.03 mm1
β = 105.95 (3)° T = 293 K
V = 1453.4 (9) Å3 Prism, colourless
Z = 2 0.5 × 0.3 × 0.2 mm

Data collection

Enraf–Nonius CAD-4 diffractometer 2681 reflections with I > 2σ(I)
Radiation source: fine-focus sealed tube Rint = 0.035
Graphite monochromator θmax = 27.0°, θmin = 2.2°
ω/2θ scans h = −10→1
Absorption correction: ψ scan North et al. (1968). Number of ψ scan sets used was 5 Theta correction was applied. Averaged transmission function was used. No Fourier smoothing was applied. k = −1→23
Tmin = 0.013, Tmax = 0.074 l = −12→13
3159 measured reflections 2 standard reflections every 120 min
3159 independent reflections intensity decay: 10%

Refinement

Refinement on F2 2 restraints
Least-squares matrix: full Hydrogen site location: mixed
R[F2 > 2σ(F2)] = 0.036 H atoms treated by a mixture of independent and constrained refinement
wR(F2) = 0.102 w = 1/[σ2(Fo2) + (0.0625P)2 + 4.4831P] where P = (Fo2 + 2Fc2)/3
S = 1.06 (Δ/σ)max < 0.001
3159 reflections Δρmax = 3.48 e Å3
142 parameters Δρmin = −2.57 e Å3

Special details

Geometry. All e.s.d.'s (except the e.s.d. in the dihedral angle between two l.s. planes) are estimated using the full covariance matrix. The cell e.s.d.'s are taken into account individually in the estimation of e.s.d.'s in distances, angles and torsion angles; correlations between e.s.d.'s in cell parameters are only used when they are defined by crystal symmetry. An approximate (isotropic) treatment of cell e.s.d.'s is used for estimating e.s.d.'s involving l.s. planes.

Fractional atomic coordinates and isotropic or equivalent isotropic displacement parameters (Å2)

x y z Uiso*/Ueq
Bi 0.42097 (3) 0.42073 (2) 0.34670 (2) 0.02518 (11)
Cl1 0.2576 (2) 0.50934 (10) 0.50438 (18) 0.0329 (4)
Cl2 0.4635 (3) 0.32483 (10) 0.54389 (18) 0.0361 (4)
Cl3 0.1117 (3) 0.36755 (11) 0.2279 (2) 0.0441 (5)
Cl4 0.3821 (3) 0.52442 (12) 0.1571 (2) 0.0438 (5)
Cl5 0.5941 (4) 0.33648 (14) 0.2288 (3) 0.0635 (7)
OW 0.7852 (9) 0.2151 (4) 0.4798 (8) 0.0609 (18)
HW1 0.701 (11) 0.194 (6) 0.501 (12) 0.070*
HW2 0.732 (14) 0.251 (4) 0.434 (10) 0.070*
N1 0.0157 (8) 0.3538 (3) 0.8660 (6) 0.0291 (12)
H1 −0.0668 0.3405 0.9173 0.035*
N2 0.2250 (8) 0.3886 (3) 0.7369 (6) 0.0319 (13)
H2 0.3082 0.4026 0.6866 0.038*
C1 0.1780 (10) 0.3089 (4) 0.9111 (8) 0.0340 (16)
H1A 0.1513 0.2584 0.8867 0.041*
H1B 0.2238 0.3117 1.0072 0.041*
C6 0.0703 (11) 0.3511 (5) 0.6456 (7) 0.0403 (19)
H6A 0.1062 0.3045 0.6179 0.048*
H6B 0.0224 0.3805 0.5668 0.048*
C3 0.0613 (10) 0.4331 (4) 0.8868 (8) 0.0344 (16)
H3A −0.0457 0.4618 0.8708 0.041*
H3B 0.1310 0.4413 0.9778 0.041*
C4 0.1641 (11) 0.4551 (4) 0.7924 (8) 0.0385 (17)
H4A 0.0904 0.4841 0.7209 0.046*
H4B 0.2650 0.4843 0.8386 0.046*
C5 −0.0695 (11) 0.3398 (5) 0.7206 (7) 0.0386 (17)
H5A −0.1673 0.3731 0.6874 0.046*
H5B −0.1147 0.2905 0.7078 0.046*
C2 0.3144 (11) 0.3374 (4) 0.8454 (8) 0.0385 (17)
H2A 0.4078 0.3625 0.9105 0.046*
H2B 0.3663 0.2973 0.8090 0.046*

Atomic displacement parameters (Å2)

U11 U22 U33 U12 U13 U23
Bi 0.02361 (17) 0.02675 (16) 0.02414 (16) −0.00230 (9) 0.00482 (11) −0.00228 (8)
Cl1 0.0253 (8) 0.0374 (9) 0.0354 (9) 0.0006 (7) 0.0073 (7) 0.0026 (7)
Cl2 0.0343 (9) 0.0360 (9) 0.0374 (9) 0.0016 (7) 0.0087 (7) 0.0066 (7)
Cl3 0.0352 (10) 0.0522 (11) 0.0396 (10) −0.0140 (9) 0.0011 (8) 0.0003 (8)
Cl4 0.0282 (9) 0.0570 (12) 0.0434 (10) −0.0072 (8) 0.0052 (8) 0.0165 (9)
Cl5 0.0703 (16) 0.0640 (15) 0.0643 (15) 0.0110 (12) 0.0319 (13) −0.0197 (12)
OW 0.045 (4) 0.073 (5) 0.067 (5) 0.017 (3) 0.019 (3) −0.016 (4)
N1 0.024 (3) 0.037 (3) 0.030 (3) −0.001 (2) 0.013 (2) −0.002 (2)
N2 0.027 (3) 0.035 (3) 0.037 (3) 0.003 (2) 0.016 (3) 0.005 (3)
C1 0.032 (4) 0.034 (4) 0.036 (4) 0.010 (3) 0.009 (3) 0.011 (3)
C6 0.044 (5) 0.054 (5) 0.021 (3) 0.002 (4) 0.005 (3) −0.003 (3)
C3 0.032 (4) 0.030 (3) 0.043 (4) 0.002 (3) 0.012 (3) −0.007 (3)
C4 0.038 (4) 0.030 (4) 0.050 (5) −0.003 (3) 0.017 (4) 0.001 (3)
C5 0.033 (4) 0.050 (4) 0.028 (4) −0.005 (3) −0.001 (3) −0.005 (3)
C2 0.034 (4) 0.041 (4) 0.040 (4) 0.012 (3) 0.010 (3) 0.014 (3)

Geometric parameters (Å, º)

Bi—Cl5 2.588 (2) N2—H2 0.9800
Bi—Cl3 2.601 (2) C1—C2 1.517 (11)
Bi—Cl2 2.6611 (19) C1—H1A 0.9700
Bi—Cl4 2.704 (2) C1—H1B 0.9700
Bi—Cl1 2.8610 (19) C6—C5 1.531 (11)
Bi—Cl1i 2.884 (2) C6—H6A 0.9700
Cl1—Bii 2.884 (2) C6—H6B 0.9700
OW—HW1 0.850 (10) C3—C4 1.493 (11)
OW—HW2 0.850 (10) C3—H3A 0.9700
N1—C1 1.485 (9) C3—H3B 0.9700
N1—C3 1.503 (9) C4—H4A 0.9700
N1—C5 1.504 (9) C4—H4B 0.9700
N1—H1 0.9800 C5—H5A 0.9700
N2—C4 1.489 (10) C5—H5B 0.9700
N2—C2 1.492 (9) C2—H2A 0.9700
N2—C6 1.494 (10) C2—H2B 0.9700
Cl5—Bi—Cl3 95.45 (9) C2—C1—H1B 110.0
Cl5—Bi—Cl2 90.07 (8) H1A—C1—H1B 108.4
Cl3—Bi—Cl2 91.28 (7) N2—C6—C5 108.1 (6)
Cl5—Bi—Cl4 92.39 (9) N2—C6—H6A 110.1
Cl3—Bi—Cl4 90.73 (7) C5—C6—H6A 110.1
Cl2—Bi—Cl4 176.66 (6) N2—C6—H6B 110.1
Cl5—Bi—Cl1 173.58 (7) C5—C6—H6B 110.1
Cl3—Bi—Cl1 88.74 (7) H6A—C6—H6B 108.4
Cl2—Bi—Cl1 84.97 (6) C4—C3—N1 108.6 (6)
Cl4—Bi—Cl1 92.41 (7) C4—C3—H3A 110.0
Cl5—Bi—Cl1i 91.38 (8) N1—C3—H3A 110.0
Cl3—Bi—Cl1i 173.16 (6) C4—C3—H3B 110.0
Cl2—Bi—Cl1i 88.44 (6) N1—C3—H3B 110.0
Cl4—Bi—Cl1i 89.25 (6) H3A—C3—H3B 108.4
Cl1—Bi—Cl1i 84.43 (6) N2—C4—C3 109.0 (6)
Bi—Cl1—Bii 95.57 (6) N2—C4—H4A 109.9
HW1—OW—HW2 102 (10) C3—C4—H4A 109.9
C1—N1—C3 110.0 (6) N2—C4—H4B 109.9
C1—N1—C5 109.4 (6) C3—C4—H4B 109.9
C3—N1—C5 109.5 (6) H4A—C4—H4B 108.3
C1—N1—H1 109.3 N1—C5—C6 108.0 (6)
C3—N1—H1 109.3 N1—C5—H5A 110.1
C5—N1—H1 109.3 C6—C5—H5A 110.1
C4—N2—C2 110.9 (6) N1—C5—H5B 110.1
C4—N2—C6 109.5 (6) C6—C5—H5B 110.1
C2—N2—C6 109.1 (6) H5A—C5—H5B 108.4
C4—N2—H2 109.1 N2—C2—C1 108.5 (6)
C2—N2—H2 109.1 N2—C2—H2A 110.0
C6—N2—H2 109.1 C1—C2—H2A 110.0
N1—C1—C2 108.6 (5) N2—C2—H2B 110.0
N1—C1—H1A 110.0 C1—C2—H2B 110.0
C2—C1—H1A 110.0 H2A—C2—H2B 108.4
N1—C1—H1B 110.0

Symmetry code: (i) −x+1, −y+1, −z+1.

Hydrogen-bond geometry (Å, º)

D—H···A D—H H···A D···A D—H···A
Ow—Hw2···Cl5 0.91 2.63 3.458 (8) 163
N1—H1···Owii 0.91 1.87 2.739 (10) 159
Ow—Hw1···Cl5iii 0.91 2.80 3.475 (9) 138
N2—H2···Cl1 0.91 2.73 3.352 (6) 127
N2—H2···Cl2 0.91 2.65 3.325 (7) 132

Symmetry codes: (ii) x−1, −y+1/2, z+1/2; (iii) x, −y+1/2, z+1/2.

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Associated Data

This section collects any data citations, data availability statements, or supplementary materials included in this article.

Supplementary Materials

Crystal structure: contains datablock(s) I. DOI: 10.1107/S2056989015019933/vn2102sup1.cif

e-71-01384-sup1.cif (122.9KB, cif)

Structure factors: contains datablock(s) I. DOI: 10.1107/S2056989015019933/vn2102Isup2.hkl

e-71-01384-Isup2.hkl (252.4KB, hkl)

CCDC reference: 971956

Additional supporting information: crystallographic information; 3D view; checkCIF report


Articles from Acta Crystallographica Section E: Crystallographic Communications are provided here courtesy of International Union of Crystallography

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