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The imino­diacetate dianion in the title compound, [Co(C4H5NO4)(C12H8N2)(H2O)]·H2O, chelates to the cobalt(II) atom, its N and two O atoms occupying the fac sites of the distorted octa­hedron around the metal atom. The metal atom is also chelated by the N-heterocycle. The dianion, and coordinated and uncoordinated water mol­ecules inter­act through hydrogen bonds, generating a layer motif. The crystal studied was a racemic twin with a 0.62 (2):0.38 (2) domain ratio.

Supporting information

cif

Crystallographic Information File (CIF) https://doi.org/10.1107/S1600536808041226/sj2563sup1.cif
Contains datablocks global, I

hkl

Structure factor file (CIF format) https://doi.org/10.1107/S1600536808041226/sj2563Isup2.hkl
Contains datablock I

CCDC reference: 717179

Key indicators

  • Single-crystal X-ray study
  • T = 100 K
  • Mean [sigma](C-C) = 0.009 Å
  • R factor = 0.048
  • wR factor = 0.126
  • Data-to-parameter ratio = 14.7

checkCIF/PLATON results

No syntax errors found



Alert level C Value of measurement temperature given = 100.000 Value of melting point given = 0.000 STRVA01_ALERT_4_C Flack test results are ambiguous. From the CIF: _refine_ls_abs_structure_Flack 0.380 From the CIF: _refine_ls_abs_structure_Flack_su 0.020 PLAT341_ALERT_3_C Low Bond Precision on C-C Bonds (x 1000) Ang ... 9 PLAT127_ALERT_1_C Implicit Hall Symbol Inconsistent with Explicit P 2yac PLAT128_ALERT_4_C Non-standard setting of Space-group Pc .... Pn PLAT234_ALERT_4_C Large Hirshfeld Difference C10 -- C11 .. 0.10 Ang. PLAT234_ALERT_4_C Large Hirshfeld Difference C12 -- C14 .. 0.10 Ang. PLAT715_ALERT_1_C D-H Unknown or Inconsistent Label .......... O1<I>W< PLAT715_ALERT_1_C D-H Unknown or Inconsistent Label .......... O1<I>W< PLAT715_ALERT_1_C D-H Unknown or Inconsistent Label .......... O2<I>W< PLAT715_ALERT_1_C D-H Unknown or Inconsistent Label .......... O2<I>W< PLAT790_ALERT_4_C Centre of Gravity not Within Unit Cell: Resd. # 2 H2 O
Alert level G REFLT03_ALERT_4_G Please check that the estimate of the number of Friedel pairs is correct. If it is not, please give the correct count in the _publ_section_exptl_refinement section of the submitted CIF. From the CIF: _diffrn_reflns_theta_max 27.50 From the CIF: _reflns_number_total 3639 Count of symmetry unique reflns 1885 Completeness (_total/calc) 193.05% TEST3: Check Friedels for noncentro structure Estimate of Friedel pairs measured 1754 Fraction of Friedel pairs measured 0.931 Are heavy atom types Z>Si present yes PLAT860_ALERT_3_G Note: Number of Least-Squares Restraints ....... 8 PLAT033_ALERT_4_G Flack Parameter Value Deviates from Zero ....... 0.38
0 ALERT level A = In general: serious problem 0 ALERT level B = Potentially serious problem 11 ALERT level C = Check and explain 3 ALERT level G = General alerts; check 5 ALERT type 1 CIF construction/syntax error, inconsistent or missing data 0 ALERT type 2 Indicator that the structure model may be wrong or deficient 2 ALERT type 3 Indicator that the structure quality may be low 7 ALERT type 4 Improvement, methodology, query or suggestion 0 ALERT type 5 Informative message, check

Related literature top

For structural examples of the N-heterocycle adducts of cobalt iminodiacetate, see: Su & Xu (2004); Xu et al. (1989).

Experimental top

An aqueous solution of cobalt(II) chloride (0.24 g, 1 mmol) was mixed with an aqueous solutin of disodium iminodiacetate monohydrate (0.20 g, 1 mmol); this was added to a water-methanol solution of 1,10-phenanthroline (0.20 g, 1 mmol). The solution was set aside for the growth of orange crystals.

Refinement top

Carbon-bound hydrogen atoms were placed at calculated positions (C–H 0.95–0.99 Å) and were treated as riding on their parent atoms, with U(H) set to 1.2 times Ueq(C). The water H-atoms were located in a difference Fourier map, and were refined with a distance restraint of O–H 0.84±0.01 Å; their temperature factors were freely refined. The amino H-atom could not be located, and was treated as riding.

The structure is a racemic twin. The explicit refinement of the Flack parameter gave the twin component as 0.38 (2).

Computing details top

Data collection: APEX2 (Bruker, 2007); cell refinement: APEX2 (Bruker, 2007); data reduction: SAINT (Bruker, 2007); program(s) used to solve structure: SHELXS97 (Sheldrick, 2008); program(s) used to refine structure: SHELXL97 (Sheldrick, 2008); molecular graphics: X-SEED (Barbour, 2001); software used to prepare material for publication: pubCIF (Westrip, 2009).

Figures top
[Figure 1] Fig. 1. Thermal ellipsoid plot (Barbour, 2001) of Co(C12H8N2)(C4H5NO4)(H2O).H2O at the 70% probability level. Hydrogen atoms are drawn as spheres of arbitrary radius.
Aqua(iminodiacetato-κ3O,N,O')(1,10- phenanthroline-κ2N,N')cobalt(II) monohydrate top
Crystal data top
[Co(C4H5NO4)(C12H8N2)(H2O)]·H2OF(000) = 418
Mr = 406.26Dx = 1.650 Mg m3
Monoclinic, PnMo Kα radiation, λ = 0.71073 Å
Hall symbol: P 2yacCell parameters from 1265 reflections
a = 6.7884 (3) Åθ = 2.6–24.5°
b = 12.0903 (5) ŵ = 1.09 mm1
c = 10.4945 (4) ÅT = 100 K
β = 108.357 (3)°Prism, orange
V = 817.49 (6) Å30.35 × 0.02 × 0.02 mm
Z = 2
Data collection top
Bruker SMART APEX
diffractometer
3639 independent reflections
Radiation source: fine-focus sealed tube2997 reflections with I > 2σ(I)
Graphite monochromatorRint = 0.048
ω scansθmax = 27.5°, θmin = 1.7°
Absorption correction: multi-scan
(SADABS; Sheldrick, 1996)
h = 88
Tmin = 0.701, Tmax = 0.979k = 1515
6417 measured reflectionsl = 1313
Refinement top
Refinement on F2Secondary atom site location: difference Fourier map
Least-squares matrix: fullHydrogen site location: inferred from neighbouring sites
R[F2 > 2σ(F2)] = 0.048H atoms treated by a mixture of independent and constrained refinement
wR(F2) = 0.126 w = 1/[σ2(Fo2) + (0.0697P)2]
where P = (Fo2 + 2Fc2)/3
S = 1.00(Δ/σ)max = 0.001
3639 reflectionsΔρmax = 0.86 e Å3
248 parametersΔρmin = 0.49 e Å3
8 restraintsAbsolute structure: Flack (1983), 1746 Friedel pairs
Primary atom site location: structure-invariant direct methodsAbsolute structure parameter: 0.38 (2)
Crystal data top
[Co(C4H5NO4)(C12H8N2)(H2O)]·H2OV = 817.49 (6) Å3
Mr = 406.26Z = 2
Monoclinic, PnMo Kα radiation
a = 6.7884 (3) ŵ = 1.09 mm1
b = 12.0903 (5) ÅT = 100 K
c = 10.4945 (4) Å0.35 × 0.02 × 0.02 mm
β = 108.357 (3)°
Data collection top
Bruker SMART APEX
diffractometer
3639 independent reflections
Absorption correction: multi-scan
(SADABS; Sheldrick, 1996)
2997 reflections with I > 2σ(I)
Tmin = 0.701, Tmax = 0.979Rint = 0.048
6417 measured reflections
Refinement top
R[F2 > 2σ(F2)] = 0.048H atoms treated by a mixture of independent and constrained refinement
wR(F2) = 0.126Δρmax = 0.86 e Å3
S = 1.00Δρmin = 0.49 e Å3
3639 reflectionsAbsolute structure: Flack (1983), 1746 Friedel pairs
248 parametersAbsolute structure parameter: 0.38 (2)
8 restraints
Fractional atomic coordinates and isotropic or equivalent isotropic displacement parameters (Å2) top
xyzUiso*/Ueq
Co10.49999 (10)0.85733 (5)0.50000 (8)0.01527 (16)
O10.4183 (7)0.8730 (3)0.6730 (4)0.0222 (9)
O20.3360 (6)1.0019 (3)0.7965 (4)0.0254 (8)
O30.7258 (6)0.9787 (3)0.5790 (3)0.0196 (9)
O40.7806 (5)1.1607 (3)0.5786 (3)0.0190 (7)
O1W0.5702 (6)0.8446 (3)0.3211 (4)0.0194 (9)
H110.652 (7)0.896 (3)0.317 (5)0.029*
H120.493 (7)0.830 (4)0.243 (2)0.029*
O2W0.9365 (7)1.2706 (3)0.3875 (4)0.0307 (9)
H210.939 (10)1.225 (4)0.327 (4)0.046*
H220.870 (9)1.243 (4)0.435 (5)0.046*
N10.3129 (7)1.0058 (4)0.4480 (4)0.0162 (10)
H10.21040.99680.37270.019*
N20.6902 (8)0.7165 (4)0.5733 (5)0.0171 (10)
N30.2824 (7)0.7278 (4)0.4343 (4)0.0168 (11)
C10.3389 (7)0.9654 (4)0.6867 (5)0.0193 (10)
C20.2335 (7)1.0313 (4)0.5604 (5)0.0202 (10)
H2A0.08261.01600.53200.024*
H2B0.25331.11120.58140.024*
C30.4607 (8)1.0907 (4)0.4324 (5)0.0183 (10)
H3A0.40621.16530.44140.022*
H3B0.47601.08490.34190.022*
C40.6704 (8)1.0754 (4)0.5382 (5)0.0177 (10)
C50.8890 (9)0.7128 (5)0.6410 (5)0.0217 (13)
H50.96250.78060.66380.026*
C60.9974 (10)0.6143 (5)0.6811 (6)0.0256 (13)
H61.14100.61540.73100.031*
C70.8948 (9)0.5164 (5)0.6478 (5)0.0246 (13)
H70.96660.44850.67360.030*
C80.6812 (10)0.5167 (5)0.5748 (5)0.0221 (13)
C90.5835 (10)0.6199 (5)0.5401 (7)0.0210 (14)
C100.5597 (10)0.4182 (5)0.5380 (6)0.0269 (14)
H100.62470.34810.56010.032*
C110.3534 (10)0.4234 (4)0.4720 (6)0.0230 (12)
H11A0.27540.35700.45000.028*
C120.2518 (10)0.5267 (5)0.4351 (5)0.0205 (13)
C130.3668 (10)0.6250 (4)0.4676 (6)0.0128 (12)
C140.0390 (9)0.5374 (4)0.3682 (5)0.0220 (12)
H140.04620.47340.34590.026*
C150.0462 (10)0.6399 (4)0.3350 (6)0.0238 (14)
H150.19020.64750.28840.029*
C160.0795 (8)0.7328 (5)0.3699 (6)0.0182 (11)
H160.01750.80350.34670.022*
Atomic displacement parameters (Å2) top
U11U22U33U12U13U23
Co10.0158 (3)0.0120 (3)0.0173 (3)0.0003 (3)0.0041 (2)0.0001 (3)
O10.033 (3)0.0132 (18)0.024 (2)0.0052 (16)0.0135 (19)0.0029 (14)
O20.0220 (19)0.032 (2)0.0207 (17)0.0070 (16)0.0052 (14)0.0024 (16)
O30.017 (2)0.0178 (19)0.021 (2)0.0012 (15)0.0013 (16)0.0033 (15)
O40.0219 (18)0.0127 (17)0.0210 (17)0.0021 (14)0.0048 (14)0.0012 (13)
O1W0.014 (2)0.023 (2)0.0183 (19)0.0049 (15)0.0022 (16)0.0039 (15)
O2W0.049 (3)0.0175 (19)0.029 (2)0.0081 (18)0.0165 (19)0.0030 (15)
N10.010 (2)0.022 (3)0.012 (2)0.0009 (18)0.0025 (17)0.0020 (19)
N20.019 (2)0.011 (2)0.022 (2)0.0010 (19)0.0077 (19)0.0011 (19)
N30.021 (2)0.015 (2)0.014 (2)0.0008 (19)0.0053 (19)0.0012 (18)
C10.012 (2)0.027 (3)0.017 (2)0.001 (2)0.0017 (19)0.001 (2)
C20.015 (2)0.021 (2)0.025 (3)0.0072 (19)0.008 (2)0.003 (2)
C30.017 (3)0.013 (2)0.022 (2)0.002 (2)0.002 (2)0.0032 (19)
C40.020 (3)0.016 (3)0.017 (2)0.001 (2)0.007 (2)0.001 (2)
C50.019 (3)0.026 (3)0.018 (3)0.002 (2)0.003 (2)0.004 (2)
C60.017 (3)0.034 (3)0.022 (3)0.008 (3)0.002 (2)0.004 (2)
C70.027 (3)0.021 (3)0.026 (3)0.012 (2)0.008 (2)0.008 (2)
C80.027 (3)0.020 (3)0.023 (3)0.004 (2)0.013 (2)0.007 (2)
C90.023 (3)0.018 (3)0.024 (3)0.001 (2)0.009 (2)0.000 (2)
C100.041 (4)0.011 (2)0.033 (3)0.004 (2)0.017 (3)0.002 (2)
C110.029 (3)0.013 (2)0.030 (3)0.001 (2)0.014 (2)0.001 (2)
C120.029 (3)0.015 (3)0.022 (3)0.004 (2)0.013 (3)0.000 (2)
C130.016 (3)0.010 (3)0.013 (2)0.003 (2)0.006 (2)0.0001 (19)
C140.019 (3)0.019 (3)0.027 (3)0.007 (2)0.006 (2)0.002 (2)
C150.019 (3)0.025 (3)0.027 (3)0.005 (2)0.006 (2)0.003 (2)
C160.012 (2)0.016 (3)0.023 (3)0.003 (2)0.001 (2)0.003 (2)
Geometric parameters (Å, º) top
Co1—O12.067 (4)C3—C41.516 (7)
Co1—O1W2.083 (4)C3—H3A0.9900
Co1—O32.095 (4)C3—H3B0.9900
Co1—N32.113 (5)C5—C61.394 (8)
Co1—N22.129 (5)C5—H50.9500
Co1—N12.167 (5)C6—C71.362 (8)
O1—C11.269 (6)C6—H60.9500
O2—C11.240 (6)C7—C81.411 (8)
O3—C41.260 (6)C7—H70.9500
O4—C41.267 (6)C8—C91.406 (9)
O1W—H110.84 (5)C8—C101.430 (8)
O1W—H120.84 (6)C9—C131.429 (8)
O2W—H210.84 (5)C10—C111.355 (9)
O2W—H220.84 (6)C10—H100.9500
N1—C21.476 (6)C11—C121.420 (8)
N1—C31.480 (6)C11—H11A0.9500
N1—H10.8800C12—C141.399 (9)
N2—C51.313 (8)C12—C131.403 (8)
N2—C91.360 (8)C14—C151.365 (8)
N3—C161.331 (7)C14—H140.9500
N3—C131.368 (7)C15—C161.389 (8)
C1—C21.518 (6)C15—H150.9500
C2—H2A0.9900C16—H160.9500
C2—H2B0.9900
O1—Co1—O1W177.6 (2)C4—C3—H3A109.6
O1—Co1—O387.34 (16)N1—C3—H3B109.6
O1W—Co1—O393.54 (15)C4—C3—H3B109.6
O1—Co1—N390.07 (17)H3A—C3—H3B108.1
O1W—Co1—N389.20 (16)O3—C4—O4124.0 (5)
O3—Co1—N3175.53 (17)O3—C4—C3118.3 (5)
O1—Co1—N293.20 (16)O4—C4—C3117.7 (4)
O1W—Co1—N288.95 (17)N2—C5—C6123.2 (6)
O3—Co1—N297.62 (17)N2—C5—H5118.4
N3—Co1—N278.88 (15)C6—C5—H5118.4
O1—Co1—N181.23 (15)C7—C6—C5119.1 (6)
O1W—Co1—N196.68 (15)C7—C6—H6120.4
O3—Co1—N179.47 (17)C5—C6—H6120.4
N3—Co1—N1103.74 (19)C6—C7—C8119.5 (5)
N2—Co1—N1173.79 (18)C6—C7—H7120.2
C1—O1—Co1114.9 (3)C8—C7—H7120.2
C4—O3—Co1114.3 (3)C9—C8—C7117.5 (5)
Co1—O1W—H11109 (3)C9—C8—C10119.0 (5)
Co1—O1W—H12130 (3)C7—C8—C10123.5 (5)
H11—O1W—H12109 (5)N2—C9—C8121.7 (6)
H21—O2W—H22109 (5)N2—C9—C13118.4 (6)
C2—N1—C3111.9 (4)C8—C9—C13119.9 (6)
C2—N1—Co1107.7 (3)C11—C10—C8121.0 (5)
C3—N1—Co1103.8 (3)C11—C10—H10119.5
C2—N1—H1111.0C8—C10—H10119.5
C3—N1—H1111.0C10—C11—C12121.0 (6)
Co1—N1—H1111.0C10—C11—H11A119.5
C5—N2—C9118.9 (5)C12—C11—H11A119.5
C5—N2—Co1128.7 (4)C14—C12—C13116.9 (5)
C9—N2—Co1112.4 (4)C14—C12—C11123.6 (5)
C16—N3—C13117.0 (5)C13—C12—C11119.5 (6)
C16—N3—Co1129.6 (4)N3—C13—C12123.5 (6)
C13—N3—Co1113.4 (4)N3—C13—C9116.9 (6)
O2—C1—O1123.4 (5)C12—C13—C9119.6 (6)
O2—C1—C2118.9 (4)C15—C14—C12119.9 (5)
O1—C1—C2117.6 (4)C15—C14—H14120.0
N1—C2—C1113.4 (4)C12—C14—H14120.0
N1—C2—H2A108.9C14—C15—C16119.5 (6)
C1—C2—H2A108.9C14—C15—H15120.3
N1—C2—H2B108.9C16—C15—H15120.3
C1—C2—H2B108.9N3—C16—C15123.3 (5)
H2A—C2—H2B107.7N3—C16—H16118.4
N1—C3—C4110.3 (4)C15—C16—H16118.4
N1—C3—H3A109.6
O3—Co1—O1—C166.7 (4)Co1—O3—C4—C34.4 (6)
N3—Co1—O1—C1116.9 (4)N1—C3—C4—O331.4 (6)
N2—Co1—O1—C1164.2 (4)N1—C3—C4—O4149.6 (4)
N1—Co1—O1—C113.1 (4)C9—N2—C5—C60.1 (8)
O1—Co1—O3—C496.3 (4)Co1—N2—C5—C6178.6 (4)
O1W—Co1—O3—C481.5 (4)N2—C5—C6—C70.8 (9)
N2—Co1—O3—C4170.9 (3)C5—C6—C7—C80.6 (8)
N1—Co1—O3—C414.7 (4)C6—C7—C8—C90.3 (8)
O1—Co1—N1—C21.0 (3)C6—C7—C8—C10178.6 (5)
O1W—Co1—N1—C2177.7 (3)C5—N2—C9—C80.9 (8)
O3—Co1—N1—C289.9 (3)Co1—N2—C9—C8177.9 (4)
N3—Co1—N1—C286.9 (3)C5—N2—C9—C13179.4 (5)
O1—Co1—N1—C3117.8 (3)Co1—N2—C9—C131.9 (6)
O1W—Co1—N1—C363.4 (3)C7—C8—C9—N21.0 (8)
O3—Co1—N1—C328.9 (3)C10—C8—C9—N2179.4 (5)
N3—Co1—N1—C3154.3 (3)C7—C8—C9—C13179.2 (5)
O1—Co1—N2—C590.5 (5)C10—C8—C9—C130.8 (7)
O1W—Co1—N2—C590.7 (5)C9—C8—C10—C110.7 (8)
O3—Co1—N2—C52.8 (5)C7—C8—C10—C11177.6 (5)
N3—Co1—N2—C5180.0 (5)C8—C10—C11—C121.1 (8)
O1—Co1—N2—C990.9 (4)C10—C11—C12—C14179.3 (5)
O1W—Co1—N2—C988.0 (4)C10—C11—C12—C130.0 (8)
O3—Co1—N2—C9178.6 (4)C16—N3—C13—C121.3 (8)
N3—Co1—N2—C91.4 (4)Co1—N3—C13—C12179.6 (4)
O1—Co1—N3—C1684.0 (5)C16—N3—C13—C9178.2 (5)
O1W—Co1—N3—C1693.7 (5)Co1—N3—C13—C90.1 (6)
N2—Co1—N3—C16177.2 (5)C14—C12—C13—N31.7 (8)
N1—Co1—N3—C163.0 (5)C11—C12—C13—N3179.0 (5)
O1—Co1—N3—C1394.1 (4)C14—C12—C13—C9177.8 (5)
O1W—Co1—N3—C1388.3 (4)C11—C12—C13—C91.5 (7)
N2—Co1—N3—C130.8 (4)N2—C9—C13—N31.2 (7)
N1—Co1—N3—C13175.0 (3)C8—C9—C13—N3178.5 (5)
Co1—O1—C1—O2158.4 (4)N2—C9—C13—C12178.3 (5)
Co1—O1—C1—C224.6 (6)C8—C9—C13—C121.9 (7)
C3—N1—C2—C1101.0 (5)C13—C12—C14—C151.4 (8)
Co1—N1—C2—C112.5 (5)C11—C12—C14—C15179.2 (5)
O2—C1—C2—N1157.4 (4)C12—C14—C15—C160.9 (9)
O1—C1—C2—N125.4 (6)C13—N3—C16—C150.7 (8)
C2—N1—C3—C477.1 (5)Co1—N3—C16—C15178.7 (4)
Co1—N1—C3—C438.8 (4)C14—C15—C16—N30.5 (9)
Co1—O3—C4—O4176.7 (4)
Hydrogen-bond geometry (Å, º) top
D—H···AD—HH···AD···AD—H···A
O1w—H11···O2i0.84 (5)1.82 (4)2.656 (5)174 (6)
O1w—H12···O4ii0.84 (6)1.87 (4)2.682 (5)162 (6)
O2w—H21···O1i0.84 (5)1.98 (4)2.815 (5)174 (7)
O2w—H22···O40.84 (6)2.05 (5)2.871 (5)165 (6)
N1—H1···O2ii0.882.413.126 (6)139
Symmetry codes: (i) x+1/2, y+2, z1/2; (ii) x1/2, y+2, z1/2.

Experimental details

Crystal data
Chemical formula[Co(C4H5NO4)(C12H8N2)(H2O)]·H2O
Mr406.26
Crystal system, space groupMonoclinic, Pn
Temperature (K)100
a, b, c (Å)6.7884 (3), 12.0903 (5), 10.4945 (4)
β (°) 108.357 (3)
V3)817.49 (6)
Z2
Radiation typeMo Kα
µ (mm1)1.09
Crystal size (mm)0.35 × 0.02 × 0.02
Data collection
DiffractometerBruker SMART APEX
diffractometer
Absorption correctionMulti-scan
(SADABS; Sheldrick, 1996)
Tmin, Tmax0.701, 0.979
No. of measured, independent and
observed [I > 2σ(I)] reflections
6417, 3639, 2997
Rint0.048
(sin θ/λ)max1)0.650
Refinement
R[F2 > 2σ(F2)], wR(F2), S 0.048, 0.126, 1.00
No. of reflections3639
No. of parameters248
No. of restraints8
H-atom treatmentH atoms treated by a mixture of independent and constrained refinement
Δρmax, Δρmin (e Å3)0.86, 0.49
Absolute structureFlack (1983), 1746 Friedel pairs
Absolute structure parameter0.38 (2)

Computer programs: APEX2 (Bruker, 2007), SAINT (Bruker, 2007), SHELXS97 (Sheldrick, 2008), SHELXL97 (Sheldrick, 2008), X-SEED (Barbour, 2001), pubCIF (Westrip, 2009).

Hydrogen-bond geometry (Å, º) top
D—H···AD—HH···AD···AD—H···A
O1w—H11···O2i0.84 (5)1.82 (4)2.656 (5)174 (6)
O1w—H12···O4ii0.84 (6)1.87 (4)2.682 (5)162 (6)
O2w—H21···O1i0.84 (5)1.98 (4)2.815 (5)174 (7)
O2w—H22···O40.84 (6)2.05 (5)2.871 (5)165 (6)
Symmetry codes: (i) x+1/2, y+2, z1/2; (ii) x1/2, y+2, z1/2.
 

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