catena-Poly[cobalt(II)-bis­(μ-3,7-dichloro­quinoline-8-carboxyl­ato-κ3N,O:O′)]

Li, Z.; Wu, F.; Gong, Y.; Zhang, Y.; Bai, C.

doi:10.1107/S1600536807066755

metal-organic compounds

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ISSN: 2056-9890

Volume 64| Part 1| January 2008| Page m227

https://doi.org/10.1107/S1600536807066755

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catena-Poly[cobalt(II)-bis(μ-3,7-dichloroquinoline-8-carboxylato-κ³N,O:O′)]

Zequan Li,^a Fengjing Wu,^a Yun Gong,^a ^* Yunhuai Zhang ^a and Chenguang Bai ^b

^aDepartment of Chemistry, College of Chemistry and Chemical Engineering, Chongqing University, Chongqing 400044, People's Republic of China, and ^bSchool of Materials Science and Engineering, Chongqing University, Chongqing 400044, People's Republic of China
^*Correspondence e-mail: gongyun7211@yahoo.com.cn

(Received 9 December 2007; accepted 13 December 2007; online 21 December 2007)

In the crystal structure of the title compound, [Co(C₁₀H₄Cl₂NO₂)₂]_n, the Co^II cation lies on a twofold rotation axis. Each cation is N,O-chelated by the carboxylate anions of two 3,7-dichloroquinoline-8-carboxylate ligands. The second carboxylate O atom of each ligand coordinates to the Co^II cation of an adjacent molecule, linking the cations into a linear chain. Strong interchain π–π stacking interactions are observed in the crystal structure (perpendicular distance 3.42 Å, centroid-to-centroid distance 3.874 Å)

Related literature

For the use of 3,7-dichloro-8-quinolinecarboxylic acid as a herbicide, see: Nuria et al. (1997 ); Pornprom et al. (2006 ); Sunohara & Matsumoto (2004 ); Tresch & Grossmann (2002 ). For related vanadium and cadmium complexes, see Chen et al. (2001 ); Yang et al. (2005 ). For related literature, see: Turel et al. (2004 ); Zhang et al. (2007 ).

Experimental

Crystal data

[Co(C₁₀H₄Cl₂NO₂)₂]
M_r = 541.01
Orthorhombic, P c c n
a = 13.5109 (14) Å
b = 15.964 (2) Å
c = 9.2157 (16) Å
V = 1987.7 (5) Å³
Z = 4
Mo Kα radiation
μ = 1.43 mm⁻¹
T = 298 (2) K
0.49 × 0.33 × 0.31 mm

Data collection

Siemens SMART CCD area-detector diffractometer
Absorption correction: multi-scan (SADABS; Sheldrick, 1996 ) T_min = 0.57, T_max = 0.64
9558 measured reflections
1752 independent reflections
1404 reflections with I > 2σ(I)
R_int = 0.039

Refinement

R[F² > 2σ(F²)] = 0.034
wR(F²) = 0.089
S = 1.11
1752 reflections
141 parameters
H-atom parameters constrained
Δρ_max = 0.67 e Å⁻³
Δρ_min = −0.76 e Å⁻³

Table 1
Selected geometric parameters (Å, °)

Co1—O1	2.093 (2)
Co1—O2ⁱ	2.057 (2)
Co1—N1	2.197 (2)

O2ⁱ—Co1—O2ⁱⁱ	103.60 (12)
O2ⁱ—Co1—O1	170.96 (9)
O2ⁱⁱ—Co1—O1	85.43 (8)
O1—Co1—O1ⁱⁱⁱ	85.55 (12)
O2ⁱ—Co1—N1	90.97 (9)
O2ⁱⁱ—Co1—N1	87.24 (9)
O1—Co1—N1	89.82 (9)
O1ⁱⁱⁱ—Co1—N1	92.31 (9)
N1ⁱⁱⁱ—Co1—N1	177.10 (14)
Symmetry codes: (i) $[x, -y+{\script{3\over 2}}, z+{\script{1\over 2}}]$ ; (ii) $[-x+{\script{3\over 2}}, y, z+{\script{1\over 2}}]$ ; (iii) $[-x+{\script{3\over 2}}, -y+{\script{3\over 2}}, z]$ .

Data collection: SMART (Siemens, 1996 ); cell refinement: SAINT (Siemens, 1996); data reduction: SAINT; program(s) used to solve structure: SHELXS97 (Sheldrick, 1997a ); program(s) used to refine structure: SHELXL97 (Sheldrick, 1997a); molecular graphics: SHELXTL (Sheldrick, 1997b ); software used to prepare material for publication: SHELXTL.

Supporting information

Crystal structure: contains datablocks global, I. DOI: https://doi.org/10.1107/S1600536807066755/sj2456sup1.cif

Structure factors: contains datablock I. DOI: https://doi.org/10.1107/S1600536807066755/sj2456Isup2.hkl

checkCIF report

Comment top

Quinolinecarboxylates generally chelate to metal atoms, and some metal quinolinecarboxylates have been reported such as, for example, bis(6-methyl-4-hydroxy-3-quinolinecarboxylate) mono(oxo)monohydroxyvanadium(V) and Cd(H₂O)(4-quinolinecarboxylato)₂ (Chen et al., 2001; Yang et al., 2005). Quinclorac (3,7-dichloro-8-quinolinecarboxylic acid) is a most effective herbicides (Nuria et al., 1997; Pornprom et al., 2006; Sunohara & Matsumoto, 2004; Tresch & Grossmann, 2002). We have reported a nickel-quinclorac complex in our previous work (Zhang et al., 2007). The title compound is a cobalt(II) derivative (I) (Fig. 1) with the Co^II cation located on a twofold rotation axis. The Co^II center exhibits a distorted octahedral geometry defined by four carboxylato oxygen atoms from four quinclorac and two nitrogen atoms from two quinclorac units. Each quinclorac ligand chelates to the cobalt atom via a quinoline N atom and a carboxylate O atom. Adjacent molecules are linked by carboxylate bridges into a linear chain. The chains are assembled into a three-dimensional supramolecular architecture by strong offset face-to-face π–π stacking interactions (perpendicular distance: 3.42 Å, centroid-centroid distance: 3.874 Å) between the C2–C7 and C2ⁱ–C7ⁱ benzene rings [symmetry code: (i) 2 - x, 1 - y, - z].

Related literature top

For the use of 3,7-dichloro-8-quinolinecarboxylic acid as a herbicide, see: Nuria et al. (1997); Pornprom et al. (2006); Sunohara & Matsumoto (2004); Tresch & Grossmann (2002). For related vanadium and cadmium complexes, see Chen et al. (2001); Yang et al. (2005).

For related literature, see: Turel et al. (2004); Zhang et al. (2007).

Experimental top

A mixture of quinclorac (0.5 mmol, 0.121 g), CoCl₂.6H₂O (1 mmol, 0.238 g), Na₂MoO₄.2H₂O (0.5 mmol, 0.121 g) and H₂O (10 ml) was treated with aqueous HCl to a pH of 5. The mixture was placed in a Teflon-lined autoclave; this was heated at 403 K for three days. Red crystals were collected and washed with water. C H & N elemental analysis. Calculated for C₂₀H₈Cl₄N₂O₄Co: C 44.36, H 1.48, N 5.18%; found: C 44.48, H 1.69, N 5.31%. Selected FT—IR (KBr, cm^-1): 3301(w), 1581(s), 1553(m), 1482(m), 1402(m), 1383(s), 1232(m), 1139 (m), 1101(s), 761(m), 553(m), 449(m).

Structure description top

For the use of 3,7-dichloro-8-quinolinecarboxylic acid as a herbicide, see: Nuria et al. (1997); Pornprom et al. (2006); Sunohara & Matsumoto (2004); Tresch & Grossmann (2002). For related vanadium and cadmium complexes, see Chen et al. (2001); Yang et al. (2005).

For related literature, see: Turel et al. (2004); Zhang et al. (2007).

Computing details top

Data collection: SMART (Siemens, 1996); cell refinement: SAINT (Siemens, 1996); data reduction: SAINT (Siemens, 1996); program(s) used to solve structure: SHELXS97 (Sheldrick, 1997a); program(s) used to refine structure: SHELXL97 (Sheldrick, 1997a); molecular graphics: SHELXTL (Sheldrick, 1997b); software used to prepare material for publication: SHELXTL (Sheldrick, 1997b).

Figures top

	Fig. 1. The structure of (I), with the atomic numbering scheme and displacement ellipsoids at the 50% probability level. H atoms have been omitted for clarity [Symmetry code: (i) x,-y + 1/2,z + 1/2.]
	Fig. 2. Three dimensional supramolecular architecture constructed by interchain π–π stacking interactions.

catena-Poly[cobalt(II)-bis(µ-3,7-dichloroquinoline-8-carboxylato- κ³N,O:O')] ? top

Crystal data top

[Co(C₁₀H₄Cl₂NO₂)₂]	F(000) = 1076
M_r = 541.01	D_x = 1.808 Mg m⁻³ D_m = 1.800 Mg m⁻³ D_m measured by not measured
Orthorhombic, Pccn	Mo Kα radiation, λ = 0.71073 Å
Hall symbol: -P 2ab 2ac	Cell parameters from 9558 reflections
a = 13.5109 (14) Å	θ = 2.0–25.0°
b = 15.964 (2) Å	µ = 1.43 mm⁻¹
c = 9.2157 (16) Å	T = 298 K
V = 1987.7 (5) Å³	Block, red
Z = 4	0.49 × 0.33 × 0.31 mm

Data collection top

Siemens SMART CCD area-detector diffractometer	1752 independent reflections
Radiation source: fine-focus sealed tube	1404 reflections with I > 2σ(I)
Graphite monochromator	R_int = 0.039
φ and ω scans	θ_max = 25.0°, θ_min = 2.0°
Absorption correction: multi-scan (SADABS; Sheldrick, 1996)	h = −16→13
T_min = 0.57, T_max = 0.64	k = −18→18
9558 measured reflections	l = −10→9

Refinement top

Refinement on F²	Primary atom site location: structure-invariant direct methods
Least-squares matrix: full	Secondary atom site location: difference Fourier map
R[F² > 2σ(F²)] = 0.034	Hydrogen site location: inferred from neighbouring sites
wR(F²) = 0.089	H-atom parameters constrained
S = 1.11	w = 1/[σ²(F_o²) + (0.0291P)² + 3.6236P] where P = (F_o² + 2F_c²)/3
1752 reflections	(Δ/σ)_max = 0.001
141 parameters	Δρ_max = 0.67 e Å⁻³
0 restraints	Δρ_min = −0.76 e Å⁻³

Crystal data top

[Co(C₁₀H₄Cl₂NO₂)₂]	V = 1987.7 (5) Å³
M_r = 541.01	Z = 4
Orthorhombic, Pccn	Mo Kα radiation
a = 13.5109 (14) Å	µ = 1.43 mm⁻¹
b = 15.964 (2) Å	T = 298 K
c = 9.2157 (16) Å	0.49 × 0.33 × 0.31 mm

Data collection top

Siemens SMART CCD area-detector diffractometer	1752 independent reflections
Absorption correction: multi-scan (SADABS; Sheldrick, 1996)	1404 reflections with I > 2σ(I)
T_min = 0.57, T_max = 0.64	R_int = 0.039
9558 measured reflections

Refinement top

R[F² > 2σ(F²)] = 0.034	0 restraints
wR(F²) = 0.089	H-atom parameters constrained
S = 1.11	Δρ_max = 0.67 e Å⁻³
1752 reflections	Δρ_min = −0.76 e Å⁻³
141 parameters

Special details top

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.

Refinement. Refinement of F² against ALL reflections. The weighted R-factor wR and goodness of fit S are based on F², conventional R-factors R are based on F, with F set to zero for negative F². The threshold expression of F² > σ(F²) is used only for calculating R-factors(gt) etc. and is not relevant to the choice of reflections for refinement. R-factors based on F² are statistically about twice as large as those based on F, and R- factors based on ALL data will be even larger.

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

	x	y	z	U_iso*/U_eq
Co1	0.7500	0.7500	0.25905 (6)	0.02337 (17)
Cl1	0.77826 (7)	0.45967 (6)	−0.08682 (10)	0.0438 (3)
Cl2	1.11100 (8)	0.71113 (7)	0.54570 (14)	0.0641 (4)
N1	0.89374 (19)	0.68581 (16)	0.2651 (3)	0.0271 (6)
O1	0.70392 (16)	0.66997 (13)	0.0924 (2)	0.0296 (5)
O2	0.80139 (16)	0.65857 (13)	−0.1029 (2)	0.0287 (5)
C1	0.7764 (2)	0.64027 (19)	0.0240 (3)	0.0253 (7)
C2	0.8430 (2)	0.57762 (19)	0.0989 (3)	0.0254 (7)
C3	0.8519 (2)	0.4963 (2)	0.0541 (4)	0.0305 (7)
C4	0.9198 (3)	0.4403 (2)	0.1170 (4)	0.0406 (9)
H4	0.9214	0.3846	0.0871	0.049*
C5	0.9831 (3)	0.4674 (2)	0.2212 (4)	0.0405 (9)
H5	1.0300	0.4309	0.2594	0.049*
C6	0.9783 (2)	0.5510 (2)	0.2723 (4)	0.0325 (8)
C7	0.9051 (2)	0.60506 (19)	0.2140 (3)	0.0273 (7)
C8	0.9570 (2)	0.7133 (2)	0.3621 (4)	0.0325 (8)
H8	0.9503	0.7681	0.3949	0.039*
C9	1.0338 (2)	0.6646 (2)	0.4188 (4)	0.0378 (8)
C10	1.0438 (3)	0.5835 (2)	0.3773 (4)	0.0397 (9)
H10	1.0929	0.5499	0.4175	0.048*

Atomic displacement parameters (Å²) top

	U¹¹	U²²	U³³	U¹²	U¹³	U²³
Co1	0.0269 (3)	0.0247 (3)	0.0185 (3)	0.0027 (3)	0.000	0.000
Cl1	0.0472 (5)	0.0369 (5)	0.0472 (6)	−0.0042 (4)	−0.0028 (4)	−0.0106 (4)
Cl2	0.0561 (6)	0.0563 (7)	0.0799 (8)	0.0064 (5)	−0.0383 (6)	−0.0098 (6)
N1	0.0271 (14)	0.0274 (14)	0.0268 (15)	0.0037 (11)	−0.0010 (11)	0.0010 (11)
O1	0.0316 (12)	0.0338 (12)	0.0233 (12)	0.0062 (10)	−0.0014 (10)	−0.0035 (10)
O2	0.0344 (12)	0.0307 (12)	0.0211 (12)	0.0016 (10)	0.0015 (9)	0.0020 (10)
C1	0.0322 (17)	0.0217 (15)	0.0220 (16)	−0.0028 (12)	−0.0030 (13)	0.0000 (12)
C2	0.0258 (16)	0.0285 (16)	0.0218 (16)	0.0024 (13)	0.0053 (13)	0.0052 (13)
C3	0.0331 (17)	0.0261 (17)	0.0323 (18)	−0.0021 (14)	0.0046 (14)	0.0002 (14)
C4	0.051 (2)	0.0242 (18)	0.047 (2)	0.0059 (16)	0.0032 (19)	−0.0001 (16)
C5	0.042 (2)	0.0340 (19)	0.045 (2)	0.0122 (16)	−0.0004 (17)	0.0073 (17)
C6	0.0332 (18)	0.0330 (18)	0.0311 (19)	0.0051 (14)	0.0012 (14)	0.0049 (15)
C7	0.0266 (16)	0.0289 (17)	0.0264 (17)	0.0044 (13)	0.0070 (13)	0.0044 (14)
C8	0.0292 (17)	0.0315 (18)	0.037 (2)	0.0018 (14)	−0.0010 (15)	0.0008 (15)
C9	0.0306 (18)	0.042 (2)	0.041 (2)	0.0018 (15)	−0.0088 (16)	−0.0023 (17)
C10	0.0337 (19)	0.045 (2)	0.040 (2)	0.0106 (16)	−0.0065 (16)	0.0053 (18)

Geometric parameters (Å, º) top

Co1—O1	2.093 (2)	C2—C3	1.368 (4)
Co1—O1ⁱ	2.093 (2)	C2—C7	1.422 (4)
Co1—O2ⁱⁱ	2.057 (2)	C3—C4	1.406 (5)
Co1—O2ⁱⁱⁱ	2.057 (2)	C4—C5	1.357 (5)
Co1—N1ⁱ	2.197 (2)	C4—H4	0.9300
Co1—N1	2.197 (2)	C5—C6	1.416 (5)
Cl1—C3	1.738 (3)	C5—H5	0.9300
Cl2—C9	1.734 (4)	C6—C10	1.410 (5)
N1—C8	1.312 (4)	C6—C7	1.419 (4)
N1—C7	1.381 (4)	C8—C9	1.398 (5)
O1—C1	1.257 (4)	C8—H8	0.9300
O2—C1	1.252 (4)	C9—C10	1.358 (5)
O2—Co1^iv	2.057 (2)	C10—H10	0.9300
C1—C2	1.512 (4)

O2ⁱⁱ—Co1—O2ⁱⁱⁱ	103.60 (12)	C7—C2—C1	119.2 (3)
O2ⁱⁱ—Co1—O1	170.96 (9)	C2—C3—C4	122.5 (3)
O2ⁱⁱⁱ—Co1—O1	85.43 (8)	C2—C3—Cl1	119.6 (3)
O2ⁱⁱ—Co1—O1ⁱ	85.43 (8)	C4—C3—Cl1	117.9 (3)
O2ⁱⁱⁱ—Co1—O1ⁱ	170.96 (8)	C5—C4—C3	120.0 (3)
O1—Co1—O1ⁱ	85.55 (12)	C5—C4—H4	120.0
O2ⁱⁱ—Co1—N1ⁱ	87.24 (9)	C3—C4—H4	120.0
O2ⁱⁱⁱ—Co1—N1ⁱ	90.97 (9)	C4—C5—C6	120.5 (3)
O1—Co1—N1ⁱ	92.31 (9)	C4—C5—H5	119.8
O1ⁱ—Co1—N1ⁱ	89.82 (9)	C6—C5—H5	119.8
O2ⁱⁱ—Co1—N1	90.97 (9)	C10—C6—C5	123.1 (3)
O2ⁱⁱⁱ—Co1—N1	87.24 (9)	C10—C6—C7	118.3 (3)
O1—Co1—N1	89.82 (9)	C5—C6—C7	118.6 (3)
O1ⁱ—Co1—N1	92.31 (9)	N1—C7—C6	121.1 (3)
N1ⁱ—Co1—N1	177.10 (14)	N1—C7—C2	118.5 (3)
C8—N1—C7	118.2 (3)	C6—C7—C2	120.5 (3)
C8—N1—Co1	115.9 (2)	N1—C8—C9	123.5 (3)
C7—N1—Co1	121.7 (2)	N1—C8—H8	118.2
C1—O1—Co1	111.49 (19)	C9—C8—H8	118.2
C1—O2—Co1^iv	130.7 (2)	C10—C9—C8	119.9 (3)
O2—C1—O1	126.2 (3)	C10—C9—Cl2	122.6 (3)
O2—C1—C2	114.9 (3)	C8—C9—Cl2	117.4 (3)
O1—C1—C2	119.0 (3)	C9—C10—C6	118.8 (3)
C3—C2—C7	117.8 (3)	C9—C10—H10	120.6
C3—C2—C1	122.9 (3)	C6—C10—H10	120.6

O2ⁱⁱ—Co1—N1—C8	9.9 (2)	Cl1—C3—C4—C5	176.0 (3)
O2ⁱⁱⁱ—Co1—N1—C8	−93.6 (2)	C3—C4—C5—C6	3.0 (5)
O1—Co1—N1—C8	−179.1 (2)	C4—C5—C6—C10	−178.1 (4)
O1ⁱ—Co1—N1—C8	95.4 (2)	C4—C5—C6—C7	1.0 (5)
O2ⁱⁱ—Co1—N1—C7	166.4 (2)	C8—N1—C7—C6	4.7 (4)
O2ⁱⁱⁱ—Co1—N1—C7	62.8 (2)	Co1—N1—C7—C6	−151.2 (2)
O1—Co1—N1—C7	−22.7 (2)	C8—N1—C7—C2	−174.0 (3)
O1ⁱ—Co1—N1—C7	−108.2 (2)	Co1—N1—C7—C2	30.1 (4)
O1ⁱ—Co1—O1—C1	68.44 (19)	C10—C6—C7—N1	−4.1 (5)
N1ⁱ—Co1—O1—C1	158.1 (2)	C5—C6—C7—N1	176.6 (3)
N1—Co1—O1—C1	−23.9 (2)	C10—C6—C7—C2	174.5 (3)
Co1^iv—O2—C1—O1	8.1 (5)	C5—C6—C7—C2	−4.8 (5)
Co1^iv—O2—C1—C2	−170.54 (19)	C3—C2—C7—N1	−177.0 (3)
Co1—O1—C1—O2	−109.2 (3)	C1—C2—C7—N1	7.7 (4)
Co1—O1—C1—C2	69.4 (3)	C3—C2—C7—C6	4.4 (4)
O2—C1—C2—C3	−65.8 (4)	C1—C2—C7—C6	−170.9 (3)
O1—C1—C2—C3	115.4 (3)	C7—N1—C8—C9	−1.4 (5)
O2—C1—C2—C7	109.2 (3)	Co1—N1—C8—C9	155.8 (3)
O1—C1—C2—C7	−69.6 (4)	N1—C8—C9—C10	−2.3 (6)
C7—C2—C3—C4	−0.3 (5)	N1—C8—C9—Cl2	179.7 (3)
C1—C2—C3—C4	174.8 (3)	C8—C9—C10—C6	2.8 (6)
C7—C2—C3—Cl1	−179.7 (2)	Cl2—C9—C10—C6	−179.4 (3)
C1—C2—C3—Cl1	−4.6 (4)	C5—C6—C10—C9	179.5 (4)
C2—C3—C4—C5	−3.4 (5)	C7—C6—C10—C9	0.4 (5)

Symmetry codes: (i) −x+3/2, −y+3/2, z; (ii) x, −y+3/2, z+1/2; (iii) −x+3/2, y, z+1/2; (iv) x, −y+3/2, z−1/2.

Experimental details

Crystal data
Chemical formula	[Co(C₁₀H₄Cl₂NO₂)₂]
M_r	541.01
Crystal system, space group	Orthorhombic, Pccn
Temperature (K)	298
a, b, c (Å)	13.5109 (14), 15.964 (2), 9.2157 (16)
V (Å³)	1987.7 (5)
Z	4
Radiation type	Mo Kα
µ (mm⁻¹)	1.43
Crystal size (mm)	0.49 × 0.33 × 0.31

Data collection
Diffractometer	Siemens SMART CCD area-detector
Absorption correction	Multi-scan (SADABS; Sheldrick, 1996)
T_min, T_max	0.57, 0.64
No. of measured, independent and observed [I > 2σ(I)] reflections	9558, 1752, 1404
R_int	0.039
(sin θ/λ)_max (Å⁻¹)	0.595

Refinement
R[F² > 2σ(F²)], wR(F²), S	0.034, 0.089, 1.11
No. of reflections	1752
No. of parameters	141
H-atom treatment	H-atom parameters constrained
Δρ_max, Δρ_min (e Å⁻³)	0.67, −0.76

Computer programs: SMART (Siemens, 1996), SAINT (Siemens, 1996), SHELXS97 (Sheldrick, 1997a), SHELXL97 (Sheldrick, 1997a), SHELXTL (Sheldrick, 1997b).

Selected geometric parameters (Å, º) top

Co1—O1	2.093 (2)	Co1—N1	2.197 (2)
Co1—O2ⁱ	2.057 (2)

O2ⁱ—Co1—O2ⁱⁱ	103.60 (12)	O2ⁱⁱ—Co1—N1	87.24 (9)
O2ⁱ—Co1—O1	170.96 (9)	O1—Co1—N1	89.82 (9)
O2ⁱⁱ—Co1—O1	85.43 (8)	O1ⁱⁱⁱ—Co1—N1	92.31 (9)
O1—Co1—O1ⁱⁱⁱ	85.55 (12)	N1ⁱⁱⁱ—Co1—N1	177.10 (14)
O2ⁱ—Co1—N1	90.97 (9)

Symmetry codes: (i) x, −y+3/2, z+1/2; (ii) −x+3/2, y, z+1/2; (iii) −x+3/2, −y+3/2, z.

Acknowledgements

This work was supported by the Natural Science Young Scholars Foundation of Chongqing University and Chongqing University Postgraduate Science and Innovation Fund.

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