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The asymmetric unit of the title compound, C11H9NO2, contains two mol­ecules which are related by a pseudo-inversion centre and form an N—H...O hydrogen-bonded dimer. The least-squares planes through the non-H atoms of the mol­ecules illustrate the overall molecular planarity. The mol­ecules assume Z configurations about the exocyclic C=C bond. In the crystal, intermolecular hydrogen bonds link the mol­ecules into infinite chains.

Supporting information

cif

Crystallographic Information File (CIF) https://doi.org/10.1107/S1600536801005864/ci6019sup1.cif
Contains datablocks or1, isoindolin

hkl

Structure factor file (CIF format) https://doi.org/10.1107/S1600536801005864/ci6019Isup2.hkl
Contains datablock I

CCDC reference: 165654

Key indicators

  • Single-crystal X-ray study
  • T = 293 K
  • Mean [sigma](C-C) = 0.002 Å
  • R factor = 0.043
  • wR factor = 0.121
  • Data-to-parameter ratio = 19.1

checkCIF results

No syntax errors found

ADDSYM reports no extra symmetry

Comment top

The isoindolinone skeleton is present in a number of natural products (Tamaoki et al., 1986; Valencia et al., 1985). Many isoindolinone derivatives exhibit biological activity as potential antiviral, antileukemic, anti-inflammatory, antipsychotic and antiulcer agents (Zhuang et al., 1998; Taylor et al., 1997; De Clercq, 1995; Pendrak et al., 1994). As part of our ongoing studies on the synthesis and characterization of new heterocyclic systems containing an isoindolinone moiety (Mukherjee et al., 2000; Kundu, Khan & Mukhopadhyay, 1999), the structure determination of (Z)-3-acetonylidene-2,3-dihydro-1H-isoindolin-1-one, (I), was undertaken.

The two approximately parallel molecules (A and B) in the asymmetric unit related by a pseudo-inversion centre at (1/2, 0.38, 1/4), can be described as an N—H···O bonded dimer (Fig. 1). The dihedral angle between the nearly planar molecules A and B is 2.45 (2)°. The Z configuration of the molecules are established by the N1—C8—C9—C10 torsion angles of -4.6 (2)° in A and 4.3 (2)° in B. The angles between the five- and six-membered rings of the isoindolinone system in A and B are 1.92 (6) and 1.54 (6)°, respectively. The bond distances and angles in (I) are similar to those reported for substituted isoindoline structures (Kundu, Khan, Guha & Mukherjee, 1999; Khan et al., 1998; McNab et al., 1997). In the solid state, weak intermolecular C9—H9···O1 hydrogen bonds link the dimers to form infinite chains which are cross-linked in the c direction by weak intermolecular C4B—H4B···O2A hydrogen bonds (Table 2), to form a network.

Experimental top

2-[(Trimethylsilyl)ethynyl]benzamide (TEB) was prepared by stirring a mixture of o-iodobenzamide (1 mmol), (trimethylsilyl)acetylene (2 mmol), (PPh3)2PdCl2 (3.5 mol%), CuI (8 mol%) and triethylamine (4 mmol) in dimethylformamide at room temperature under a nitrogen atmosphere for 24 h. The reaction of TEB (1 mmol) with CH3COCl (acetyl chloride, 1.2 mmol) in the presence of anhydrous AlCl3 (4 mmol) and tetrachloroethane (10 ml) at 273 K yielded the title compound, (I) (m.p. 381 K). Single crystals suitable for X-ray analysis were obtained by slow crystallization from a dilute solution of (I) in ethanol. Elemental analysis, calculated for C11H9NO2: C 70.58, H 4.81, N 7.48%; found: C 70.53, H 4.89, N 7.24%.

Refinement top

The H atoms were refined using a riding model and their isotropic displacement parameters were set to 1.2 times (1.5 times for CH3 groups) the equivalent displacement parameters of their parent atoms.

Computing details top

Data collection: SMART (Siemens, 1996); cell refinement: SMART; data reduction: SAINT (Siemens, 1996); program(s) used to solve structure: MULTAN88 (Debaerdemaeker et al., 1988); program(s) used to refine structure: SHELXL97 (Sheldrick, 1997); molecular graphics: ZORTEP (Zsolnai, 1995); software used to prepare material for publication: SHELXL97).

Figures top
[Figure 1] Fig. 1. ZORTEP view (50% probability level) of the two hydrogen-bonded molecules of (I).
(Z)-3-Acetonylidene-2,3-dihydro-1H-isoindolin-1-one top
Crystal data top
C11H9NO2Dx = 1.374 Mg m3
Mr = 187.19Melting point: 381K K
Monoclinic, P21/nMo Kα radiation, λ = 0.71073 Å
a = 6.8673 (2) ÅCell parameters from 922 reflections
b = 12.8243 (3) Åθ = 5.4–31.7°
c = 20.6130 (5) ŵ = 0.10 mm1
β = 94.520 (1)°T = 293 K
V = 1809.71 (8) Å3Hexagonal block, colourless
Z = 80.50 × 0.45 × 0.30 mm
F(000) = 784
Data collection top
Bruker SMART-CCD
diffractometer
4172 reflections with I > 2σ(I)
Radiation source: fine-focus sealed tubeRint = 0.030
Graphite monochromatorθmax = 29.5°, θmin = 1.9°
ω scansh = 99
14180 measured reflectionsk = 1717
4883 independent reflectionsl = 1927
Refinement top
Refinement on F2Primary atom site location: structure-invariant direct methods
Least-squares matrix: fullSecondary atom site location: difference Fourier map
R[F2 > 2σ(F2)] = 0.043Hydrogen site location: inferred from neighbouring sites
wR(F2) = 0.121H-atom parameters constrained
S = 1.05 w = 1/[σ2(Fo2) + (0.0603P)2 + 0.6557P]
where P = (Fo2 + 2Fc2)/3
4883 reflections(Δ/σ)max < 0.001
255 parametersΔρmax = 0.36 e Å3
0 restraintsΔρmin = 0.26 e Å3
Crystal data top
C11H9NO2V = 1809.71 (8) Å3
Mr = 187.19Z = 8
Monoclinic, P21/nMo Kα radiation
a = 6.8673 (2) ŵ = 0.10 mm1
b = 12.8243 (3) ÅT = 293 K
c = 20.6130 (5) Å0.50 × 0.45 × 0.30 mm
β = 94.520 (1)°
Data collection top
Bruker SMART-CCD
diffractometer
4172 reflections with I > 2σ(I)
14180 measured reflectionsRint = 0.030
4883 independent reflections
Refinement top
R[F2 > 2σ(F2)] = 0.0430 restraints
wR(F2) = 0.121H-atom parameters constrained
S = 1.05Δρmax = 0.36 e Å3
4883 reflectionsΔρmin = 0.26 e Å3
255 parameters
Fractional atomic coordinates and isotropic or equivalent isotropic displacement parameters (Å2) top
xyzUiso*/Ueq
O1A0.40859 (13)0.35498 (6)0.31497 (4)0.02396 (19)
O2A0.33134 (15)0.20346 (7)0.10029 (5)0.0297 (2)
N1A0.38726 (14)0.22831 (7)0.23425 (5)0.0195 (2)
H1A0.39150.26860.20100.023*
C1A0.39536 (16)0.26384 (8)0.29782 (6)0.0189 (2)
C2A0.38352 (15)0.16893 (8)0.33865 (6)0.0181 (2)
C3A0.37951 (16)0.16001 (9)0.40544 (6)0.0223 (2)
H3A0.38590.21840.43230.027*
C4A0.36540 (17)0.05950 (10)0.43089 (6)0.0256 (3)
H4A0.36080.05070.47550.031*
C5A0.35806 (17)0.02797 (10)0.39027 (6)0.0256 (3)
H5A0.35020.09400.40850.031*
C6A0.36229 (17)0.01821 (9)0.32289 (6)0.0221 (2)
H6A0.35760.07640.29590.026*
C7A0.37386 (15)0.08210 (8)0.29771 (5)0.0180 (2)
C8A0.37139 (15)0.12019 (8)0.23004 (5)0.0181 (2)
C9A0.34699 (17)0.06292 (9)0.17497 (6)0.0210 (2)
H9A0.34780.00940.17860.025*
C10A0.31921 (17)0.10896 (10)0.10969 (6)0.0230 (2)
C11A0.2705 (2)0.03339 (11)0.05472 (6)0.0305 (3)
H11A0.22610.07130.01620.046*
H11B0.16960.01320.06640.046*
H11C0.38490.00600.04660.046*
O1B0.60061 (13)0.40219 (6)0.16643 (4)0.02467 (19)
O2B0.67865 (14)0.54109 (7)0.38522 (4)0.0288 (2)
N1B0.62001 (14)0.52358 (7)0.25031 (5)0.0195 (2)
H1B0.61940.48090.28250.023*
C1B0.61157 (16)0.49231 (9)0.18577 (6)0.0191 (2)
C2B0.61878 (16)0.59041 (9)0.14732 (6)0.0191 (2)
C3B0.61986 (17)0.60550 (10)0.08076 (6)0.0233 (2)
H3B0.61510.54930.05210.028*
C4B0.62839 (18)0.70799 (10)0.05812 (6)0.0268 (3)
H4B0.62990.72060.01370.032*
C5B0.63468 (18)0.79181 (10)0.10166 (7)0.0271 (3)
H5B0.64050.85940.08560.033*
C6B0.63251 (17)0.77652 (9)0.16850 (6)0.0230 (2)
H6B0.63580.83260.19720.028*
C7B0.62526 (15)0.67412 (8)0.19077 (6)0.0189 (2)
C8B0.62954 (15)0.63147 (8)0.25736 (6)0.0185 (2)
C9B0.64692 (16)0.68553 (9)0.31378 (6)0.0207 (2)
H9B0.64280.75790.31170.025*
C10B0.67191 (17)0.63633 (9)0.37822 (6)0.0224 (2)
C11B0.6919 (2)0.70922 (10)0.43578 (6)0.0292 (3)
H11D0.74350.67170.47360.044*
H11E0.56600.73720.44340.044*
H11F0.77880.76520.42690.044*
Atomic displacement parameters (Å2) top
U11U22U33U12U13U23
O1A0.0275 (4)0.0155 (4)0.0293 (4)0.0007 (3)0.0052 (3)0.0014 (3)
O2A0.0388 (5)0.0261 (4)0.0243 (4)0.0040 (4)0.0025 (4)0.0043 (3)
N1A0.0226 (5)0.0154 (4)0.0207 (5)0.0006 (3)0.0031 (4)0.0028 (3)
C1A0.0158 (5)0.0174 (5)0.0236 (5)0.0014 (4)0.0026 (4)0.0018 (4)
C2A0.0149 (5)0.0168 (5)0.0225 (5)0.0004 (4)0.0013 (4)0.0025 (4)
C3A0.0193 (5)0.0259 (6)0.0215 (5)0.0006 (4)0.0004 (4)0.0012 (4)
C4A0.0219 (5)0.0316 (6)0.0230 (5)0.0006 (5)0.0003 (4)0.0081 (5)
C5A0.0221 (5)0.0234 (5)0.0308 (6)0.0000 (4)0.0004 (4)0.0112 (5)
C6A0.0195 (5)0.0176 (5)0.0289 (6)0.0004 (4)0.0012 (4)0.0036 (4)
C7A0.0149 (5)0.0174 (5)0.0215 (5)0.0002 (4)0.0009 (4)0.0026 (4)
C8A0.0155 (5)0.0159 (5)0.0232 (5)0.0003 (4)0.0028 (4)0.0018 (4)
C9A0.0217 (5)0.0181 (5)0.0236 (5)0.0017 (4)0.0038 (4)0.0002 (4)
C10A0.0218 (5)0.0262 (6)0.0214 (5)0.0017 (4)0.0049 (4)0.0005 (4)
C11A0.0365 (7)0.0324 (7)0.0232 (6)0.0009 (5)0.0059 (5)0.0053 (5)
O1B0.0290 (4)0.0164 (4)0.0290 (4)0.0008 (3)0.0052 (3)0.0016 (3)
O2B0.0385 (5)0.0223 (4)0.0255 (4)0.0010 (4)0.0024 (4)0.0021 (3)
N1B0.0226 (5)0.0141 (4)0.0217 (5)0.0001 (3)0.0017 (3)0.0023 (3)
C1B0.0168 (5)0.0165 (5)0.0241 (5)0.0006 (4)0.0027 (4)0.0015 (4)
C2B0.0157 (5)0.0176 (5)0.0238 (5)0.0001 (4)0.0009 (4)0.0025 (4)
C3B0.0195 (5)0.0268 (6)0.0237 (6)0.0007 (4)0.0009 (4)0.0015 (4)
C4B0.0219 (6)0.0330 (6)0.0254 (6)0.0006 (5)0.0004 (4)0.0093 (5)
C5B0.0244 (6)0.0228 (6)0.0338 (7)0.0003 (4)0.0007 (5)0.0111 (5)
C6B0.0212 (5)0.0166 (5)0.0311 (6)0.0009 (4)0.0005 (4)0.0039 (4)
C7B0.0150 (5)0.0170 (5)0.0244 (5)0.0009 (4)0.0004 (4)0.0030 (4)
C8B0.0149 (5)0.0154 (5)0.0251 (5)0.0003 (4)0.0009 (4)0.0029 (4)
C9B0.0200 (5)0.0172 (5)0.0250 (5)0.0009 (4)0.0020 (4)0.0004 (4)
C10B0.0201 (5)0.0235 (5)0.0235 (5)0.0011 (4)0.0020 (4)0.0004 (4)
C11B0.0343 (7)0.0286 (6)0.0246 (6)0.0014 (5)0.0012 (5)0.0046 (5)
Geometric parameters (Å, º) top
O1A—C1A1.2224 (14)O1B—C1B1.2229 (14)
O2A—C10A1.2312 (15)O2B—C10B1.2302 (15)
N1A—C1A1.3842 (15)N1B—C1B1.3863 (15)
N1A—C8A1.3931 (14)N1B—C8B1.3923 (13)
N1A—H1A0.8600N1B—H1B0.8600
C1A—C2A1.4857 (15)C1B—C2B1.4898 (15)
C2A—C3A1.3840 (16)C2B—C3B1.3862 (16)
C2A—C7A1.3955 (15)C2B—C7B1.3965 (16)
C3A—C4A1.3979 (17)C3B—C4B1.3975 (17)
C3A—H3A0.9300C3B—H3B0.9300
C4A—C5A1.3982 (19)C4B—C5B1.3989 (19)
C4A—H4A0.9300C4B—H4B0.9300
C5A—C6A1.3972 (17)C5B—C6B1.3929 (18)
C5A—H5A0.9300C5B—H5B0.9300
C6A—C7A1.3918 (15)C6B—C7B1.3934 (15)
C6A—H6A0.9300C6B—H6B0.9300
C7A—C8A1.4768 (15)C7B—C8B1.4757 (15)
C8A—C9A1.3513 (16)C8B—C9B1.3512 (16)
C9A—C10A1.4682 (16)C9B—C10B1.4682 (16)
C9A—H9A0.9300C9B—H9B0.9300
C10A—C11A1.5082 (17)C10B—C11B1.5083 (17)
C11A—H11A0.9600C11B—H11D0.9600
C11A—H11B0.9600C11B—H11E0.9600
C11A—H11C0.9600C11B—H11F0.9600
C1A—N1A—C8A112.57 (9)C1B—N1B—C8B112.68 (9)
C1A—N1A—H1A123.7C1B—N1B—H1B123.7
C8A—N1A—H1A123.7C8B—N1B—H1B123.7
O1A—C1A—N1A125.81 (10)O1B—C1B—N1B125.66 (10)
O1A—C1A—C2A128.73 (11)O1B—C1B—C2B128.93 (11)
N1A—C1A—C2A105.46 (9)N1B—C1B—C2B105.41 (9)
C3A—C2A—C7A122.13 (10)C3B—C2B—C7B121.67 (10)
C3A—C2A—C1A129.61 (10)C3B—C2B—C1B130.35 (11)
C7A—C2A—C1A108.26 (10)C7B—C2B—C1B107.98 (10)
C2A—C3A—C4A117.19 (11)C2B—C3B—C4B117.74 (11)
C2A—C3A—H3A121.4C2B—C3B—H3B121.1
C4A—C3A—H3A121.4C4B—C3B—H3B121.1
C3A—C4A—C5A121.02 (11)C3B—C4B—C5B120.56 (11)
C3A—C4A—H4A119.5C3B—C4B—H4B119.7
C5A—C4A—H4A119.5C5B—C4B—H4B119.7
C6A—C5A—C4A121.38 (11)C6B—C5B—C4B121.62 (11)
C6A—C5A—H5A119.3C6B—C5B—H5B119.2
C4A—C5A—H5A119.3C4B—C5B—H5B119.2
C7A—C6A—C5A117.37 (11)C5B—C6B—C7B117.52 (11)
C7A—C6A—H6A121.3C5B—C6B—H6B121.2
C5A—C6A—H6A121.3C7B—C6B—H6B121.2
C6A—C7A—C2A120.89 (11)C6B—C7B—C2B120.89 (11)
C6A—C7A—C8A131.39 (10)C6B—C7B—C8B131.08 (11)
C2A—C7A—C8A107.68 (9)C2B—C7B—C8B107.99 (9)
C9A—C8A—N1A126.67 (10)C9B—C8B—N1B126.87 (11)
C9A—C8A—C7A127.24 (10)C9B—C8B—C7B127.19 (10)
N1A—C8A—C7A105.98 (9)N1B—C8B—C7B105.90 (9)
C8A—C9A—C10A123.37 (11)C8B—C9B—C10B123.66 (11)
C8A—C9A—H9A118.3C8B—C9B—H9B118.2
C10A—C9A—H9A118.3C10B—C9B—H9B118.2
O2A—C10A—C9A122.31 (11)O2B—C10B—C9B122.23 (11)
O2A—C10A—C11A121.87 (11)O2B—C10B—C11B121.52 (11)
C9A—C10A—C11A115.80 (11)C9B—C10B—C11B116.24 (11)
C10A—C11A—H11A109.5C10B—C11B—H11D109.5
C10A—C11A—H11B109.5C10B—C11B—H11E109.5
H11A—C11A—H11B109.5H11D—C11B—H11E109.5
C10A—C11A—H11C109.5C10B—C11B—H11F109.5
H11A—C11A—H11C109.5H11D—C11B—H11F109.5
H11B—C11A—H11C109.5H11E—C11B—H11F109.5
C8A—N1A—C1A—O1A179.69 (10)C8B—N1B—C1B—O1B179.29 (11)
C8A—N1A—C1A—C2A0.01 (12)C8B—N1B—C1B—C2B0.72 (12)
O1A—C1A—C2A—C3A1.8 (2)O1B—C1B—C2B—C3B1.8 (2)
N1A—C1A—C2A—C3A177.86 (11)N1B—C1B—C2B—C3B178.21 (11)
O1A—C1A—C2A—C7A178.89 (11)O1B—C1B—C2B—C7B178.31 (11)
N1A—C1A—C2A—C7A1.42 (12)N1B—C1B—C2B—C7B1.71 (12)
C7A—C2A—C3A—C4A0.05 (17)C7B—C2B—C3B—C4B0.22 (17)
C1A—C2A—C3A—C4A179.25 (11)C1B—C2B—C3B—C4B179.69 (11)
C2A—C3A—C4A—C5A0.74 (17)C2B—C3B—C4B—C5B0.28 (17)
C3A—C4A—C5A—C6A0.74 (18)C3B—C4B—C5B—C6B0.06 (19)
C4A—C5A—C6A—C7A0.08 (17)C4B—C5B—C6B—C7B0.46 (18)
C5A—C6A—C7A—C2A0.86 (16)C5B—C6B—C7B—C2B0.52 (17)
C5A—C6A—C7A—C8A176.59 (11)C5B—C6B—C7B—C8B177.08 (11)
C3A—C2A—C7A—C6A0.87 (17)C3B—C2B—C7B—C6B0.19 (17)
C1A—C2A—C7A—C6A179.78 (10)C1B—C2B—C7B—C6B179.89 (10)
C3A—C2A—C7A—C8A177.13 (10)C3B—C2B—C7B—C8B177.91 (10)
C1A—C2A—C7A—C8A2.23 (12)C1B—C2B—C7B—C8B2.01 (12)
C1A—N1A—C8A—C9A175.11 (11)C1B—N1B—C8B—C9B177.17 (11)
C1A—N1A—C8A—C7A1.34 (12)C1B—N1B—C8B—C7B0.48 (12)
C6A—C7A—C8A—C9A3.5 (2)C6B—C7B—C8B—C9B1.8 (2)
C2A—C7A—C8A—C9A174.22 (11)C2B—C7B—C8B—C9B176.06 (11)
C6A—C7A—C8A—N1A179.91 (11)C6B—C7B—C8B—N1B179.41 (11)
C2A—C7A—C8A—N1A2.20 (12)C2B—C7B—C8B—N1B1.57 (12)
N1A—C8A—C9A—C10A4.56 (18)N1B—C8B—C9B—C10B4.26 (18)
C7A—C8A—C9A—C10A171.14 (10)C7B—C8B—C9B—C10B172.90 (10)
C8A—C9A—C10A—O2A5.77 (19)C8B—C9B—C10B—O2B0.05 (18)
C8A—C9A—C10A—C11A172.99 (11)C8B—C9B—C10B—C11B179.11 (11)
Hydrogen-bond geometry (Å, º) top
D—H···AD—HH···AD···AD—H···A
N1A—H1A···O2A0.862.252.776 (1)120
N1A—H1A···O1B0.862.383.065 (1)137
N1B—H1B···O1A0.862.302.977 (1)135
N1B—H1B···O2B0.862.262.787 (1)120
C9A—H9A···O1Ai0.932.493.208 (1)135
C4B—H4B···O2Aii0.932.583.488 (2)167
C9B—H9B···O1Biii0.932.573.283 (1)134
Symmetry codes: (i) x+1/2, y1/2, z+1/2; (ii) x+1, y+1, z; (iii) x+3/2, y+1/2, z+1/2.

Experimental details

Crystal data
Chemical formulaC11H9NO2
Mr187.19
Crystal system, space groupMonoclinic, P21/n
Temperature (K)293
a, b, c (Å)6.8673 (2), 12.8243 (3), 20.6130 (5)
β (°) 94.520 (1)
V3)1809.71 (8)
Z8
Radiation typeMo Kα
µ (mm1)0.10
Crystal size (mm)0.50 × 0.45 × 0.30
Data collection
DiffractometerBruker SMART-CCD
diffractometer
Absorption correction
No. of measured, independent and
observed [I > 2σ(I)] reflections
14180, 4883, 4172
Rint0.030
(sin θ/λ)max1)0.693
Refinement
R[F2 > 2σ(F2)], wR(F2), S 0.043, 0.121, 1.05
No. of reflections4883
No. of parameters255
H-atom treatmentH-atom parameters constrained
Δρmax, Δρmin (e Å3)0.36, 0.26

Computer programs: SMART (Siemens, 1996), SMART, SAINT (Siemens, 1996), MULTAN88 (Debaerdemaeker et al., 1988), SHELXL97 (Sheldrick, 1997), ZORTEP (Zsolnai, 1995), SHELXL97).

Selected geometric parameters (Å, º) top
N1A—C1A1.3842 (15)N1B—C1B1.3863 (15)
N1A—C8A1.3931 (14)N1B—C8B1.3923 (13)
C7A—C8A1.4768 (15)C7B—C8B1.4757 (15)
C8A—C9A1.3513 (16)C8B—C9B1.3512 (16)
C9A—C10A1.4682 (16)C9B—C10B1.4682 (16)
C1A—N1A—C8A112.57 (9)C1B—N1B—C8B112.68 (9)
C9A—C8A—N1A126.67 (10)C9B—C8B—N1B126.87 (11)
C9A—C8A—C7A127.24 (10)C9B—C8B—C7B127.19 (10)
N1A—C8A—C7A105.98 (9)N1B—C8B—C7B105.90 (9)
C8A—C9A—C10A123.37 (11)C8B—C9B—C10B123.66 (11)
N1A—C8A—C9A—C10A4.56 (18)N1B—C8B—C9B—C10B4.26 (18)
C7A—C8A—C9A—C10A171.14 (10)C7B—C8B—C9B—C10B172.90 (10)
Hydrogen-bond geometry (Å, º) top
D—H···AD—HH···AD···AD—H···A
N1A—H1A···O2A0.862.252.776 (1)120
N1A—H1A···O1B0.862.383.065 (1)137
N1B—H1B···O1A0.862.302.977 (1)135
N1B—H1B···O2B0.862.262.787 (1)120
C9A—H9A···O1Ai0.932.493.208 (1)135
C4B—H4B···O2Aii0.932.583.488 (2)167
C9B—H9B···O1Biii0.932.573.283 (1)134
Symmetry codes: (i) x+1/2, y1/2, z+1/2; (ii) x+1, y+1, z; (iii) x+3/2, y+1/2, z+1/2.
 

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