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The title compound, [Pb(SC6F5)2]n, exhibits a layered structure containing two differently hexa­coordinated PbII atoms. One is situated on a centre of inversion and is coordinated by six S atoms, its valence lone pair of electrons being consequently stereochemically inactive. The other Pb atom is pyramidally coordinated by three S atoms and forms three contacts to adjacent F atoms, the stereochemically active lone pair pointing towards the F3 plane.

Supporting information

cif

Crystallographic Information File (CIF) https://doi.org/10.1107/S1600536806018563/hb2053sup1.cif
Contains datablocks I, global

hkl

Structure factor file (CIF format) https://doi.org/10.1107/S1600536806018563/hb2053Isup2.hkl
Contains datablock I

CCDC reference: 610788

Key indicators

  • Single-crystal X-ray study
  • T = 298 K
  • Mean [sigma](C-C) = 0.015 Å
  • R factor = 0.051
  • wR factor = 0.149
  • Data-to-parameter ratio = 15.6

checkCIF/PLATON results

No syntax errors found



Alert level B RINTA01_ALERT_3_B The value of Rint is greater than 0.15 Rint given 0.161 PLAT020_ALERT_3_B The value of Rint is greater than 0.10 ......... 0.16 PLAT061_ALERT_3_B Tmax/Tmin Range Test RR' too Large ............. 0.73
Alert level C PLAT040_ALERT_1_C No H-atoms in this Carbon Containing Compound .. ? PLAT041_ALERT_1_C Calc. and Rep. SumFormula Strings Differ .... ? PLAT042_ALERT_1_C Calc. and Rep. MoietyFormula Strings Differ .... ? PLAT045_ALERT_1_C Calculated and Reported Z Differ by ............ 0.33 Ratio PLAT062_ALERT_4_C Rescale T(min) & T(max) by ..................... 1.11 PLAT342_ALERT_3_C Low Bond Precision on C-C bonds (x 1000) Ang ... 15 PLAT710_ALERT_4_C Delete 1-2-3 or 2-3-4 Linear Torsion Angle ... # 1 S1 -PB1 -S1 -C1 -173.00 18.00 3.666 1.555 1.555 1.555 PLAT710_ALERT_4_C Delete 1-2-3 or 2-3-4 Linear Torsion Angle ... # 6 S1 -PB1 -S1 -PB2 73.00 14.00 3.666 1.555 1.555 2.655 PLAT710_ALERT_4_C Delete 1-2-3 or 2-3-4 Linear Torsion Angle ... # 45 S2 -PB1 -S2 -C7 50.00 9.00 3.666 1.555 1.555 1.555 PLAT710_ALERT_4_C Delete 1-2-3 or 2-3-4 Linear Torsion Angle ... # 50 S2 -PB1 -S2 -PB2 165.00 9.00 3.666 1.555 1.555 1.555 PLAT710_ALERT_4_C Delete 1-2-3 or 2-3-4 Linear Torsion Angle ... # 89 S3 -PB1 -S3 -C13 10.00 0.00 3.666 1.555 1.555 1.555 PLAT710_ALERT_4_C Delete 1-2-3 or 2-3-4 Linear Torsion Angle ... # 94 S3 -PB1 -S3 -PB2 15.00 0.00 3.666 1.555 1.555 1.555
Alert level G ABSTM02_ALERT_3_G When printed, the submitted absorption T values will be replaced by the scaled T values. Since the ratio of scaled T's is identical to the ratio of reported T values, the scaling does not imply a change to the absorption corrections used in the study. Ratio of Tmax expected/reported 1.106 Tmax scaled 0.332 Tmin scaled 0.033 CHEMS02_ALERT_1_G Please check that you have entered the correct _publ_requested_category classification of your compound; FI or CI or EI for inorganic; FM or CM or EM for metal-organic; FO or CO or EO for organic. From the CIF: _publ_requested_category EM From the CIF: _chemical_formula_sum:C12 F10 Pb1 S2
0 ALERT level A = In general: serious problem 3 ALERT level B = Potentially serious problem 12 ALERT level C = Check and explain 2 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 5 ALERT type 3 Indicator that the structure quality may be low 7 ALERT type 4 Improvement, methodology, query or suggestion

Computing details top

Data collection: SMART (Bruker, 1998); cell refinement: SAINT (Bruker, 1998); data reduction: SAINT; program(s) used to solve structure: SIR92 (Altomare et al., 1994); program(s) used to refine structure: SHELXL97 (Sheldrick, 1997); molecular graphics: ORTEP-3 (Farrugia, 1997); software used to prepare material for publication: SHELXL97.

Poly[bis(µ-pentafluorobenzenethiolato)lead(II)] top
Crystal data top
[Pb(C6F5S)2]F(000) = 1656
Mr = 605.43Dx = 2.824 Mg m3
Monoclinic, P21/cMo Kα radiation, λ = 0.71069 Å
Hall symbol: -P 2ybcCell parameters from 8121 reflections
a = 14.7217 (5) Åθ = 2.4–28°
b = 13.7581 (5) ŵ = 12.25 mm1
c = 10.5960 (4) ÅT = 298 K
β = 95.647 (1)°Plate, yellow
V = 2135.73 (13) Å30.28 × 0.24 × 0.09 mm
Z = 6
Data collection top
Bruker SMART CCD
diffractometer
5306 independent reflections
Radiation source: sealed tube3532 reflections with I > 2σ(I)
Graphite monochromatorRint = 0.161
ω scansθmax = 28.3°, θmin = 2.0°
Absorption correction: multi-scan
(SORTAV; Blessing, 1995)
h = 1919
Tmin = 0.03, Tmax = 0.30k = 1818
32252 measured reflectionsl = 1414
Refinement top
Refinement on F20 restraints
Least-squares matrix: fullPrimary atom site location: structure-invariant direct methods
R[F2 > 2σ(F2)] = 0.051Secondary atom site location: difference Fourier map
wR(F2) = 0.149 w = 1/[σ2(Fo2) + (0.076P)2 + 4.1862P]
where P = (Fo2 + 2Fc2)/3
S = 1.01(Δ/σ)max < 0.001
5306 reflectionsΔρmax = 2.22 e Å3
340 parametersΔρmin = 1.58 e Å3
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
xyzUiso*/Ueq
Pb10.50000.50000.50000.05137 (16)
Pb20.51081 (2)0.33516 (3)0.15769 (3)0.05254 (14)
S10.5479 (2)0.64837 (18)0.3139 (3)0.0591 (6)
C10.6662 (7)0.6580 (6)0.3398 (9)0.050 (2)
C20.7211 (9)0.6009 (8)0.2709 (10)0.063 (3)
C30.8152 (10)0.6078 (10)0.2843 (12)0.075 (3)
C40.8573 (8)0.6744 (10)0.3658 (13)0.074 (3)
C50.8056 (8)0.7317 (8)0.4379 (10)0.060 (2)
C60.7127 (8)0.7239 (7)0.4252 (9)0.054 (2)
F20.6822 (6)0.5361 (5)0.1889 (7)0.084 (2)
F30.8639 (6)0.5513 (7)0.2147 (8)0.103 (3)
F40.9481 (5)0.6837 (7)0.3774 (9)0.108 (3)
F50.8453 (6)0.7980 (6)0.5190 (7)0.089 (2)
F60.6630 (4)0.7838 (4)0.4935 (5)0.0630 (14)
S20.37825 (17)0.38874 (16)0.3029 (2)0.0480 (5)
C70.2967 (6)0.4544 (6)0.2072 (7)0.0437 (18)
C80.3179 (7)0.5166 (6)0.1106 (9)0.050 (2)
C90.2523 (8)0.5694 (7)0.0385 (8)0.053 (2)
C100.1621 (8)0.5592 (8)0.0598 (10)0.063 (3)
C110.1372 (7)0.4989 (8)0.1537 (10)0.060 (2)
C120.2045 (7)0.4465 (7)0.2246 (9)0.053 (2)
F80.4050 (4)0.5277 (5)0.0852 (6)0.0655 (15)
F90.2756 (5)0.6314 (5)0.0517 (6)0.0736 (18)
F100.0978 (5)0.6118 (6)0.0091 (7)0.091 (2)
F110.0496 (5)0.4888 (7)0.1736 (9)0.094 (2)
F120.1785 (4)0.3855 (5)0.3135 (6)0.0665 (15)
S30.59071 (16)0.32156 (18)0.3998 (2)0.0525 (5)
C130.7067 (6)0.3294 (6)0.3796 (8)0.0439 (17)
C140.7485 (7)0.2704 (7)0.2951 (8)0.049 (2)
C150.8393 (7)0.2720 (8)0.2827 (9)0.057 (2)
C160.8951 (7)0.3338 (8)0.3560 (10)0.061 (2)
C170.8580 (7)0.3956 (8)0.4399 (10)0.057 (2)
C180.7655 (8)0.3925 (7)0.4496 (9)0.056 (2)
F140.6950 (4)0.2074 (4)0.2208 (5)0.0623 (14)
F150.8759 (5)0.2129 (6)0.2004 (6)0.0796 (19)
F160.9836 (4)0.3380 (6)0.3450 (7)0.088 (2)
F170.9098 (5)0.4585 (6)0.5100 (8)0.086 (2)
F180.7298 (5)0.4535 (5)0.5323 (6)0.0686 (16)
Atomic displacement parameters (Å2) top
U11U22U33U12U13U23
Pb10.0585 (3)0.0437 (3)0.0515 (3)0.0045 (2)0.0035 (2)0.00125 (19)
Pb20.0508 (2)0.0550 (2)0.0527 (2)0.00188 (15)0.00916 (15)0.00094 (15)
S10.0603 (15)0.0485 (13)0.0678 (15)0.0065 (10)0.0039 (12)0.0085 (10)
C10.057 (5)0.042 (4)0.052 (5)0.005 (4)0.013 (4)0.009 (4)
C20.083 (8)0.052 (5)0.053 (5)0.013 (5)0.010 (5)0.011 (4)
C30.081 (9)0.078 (8)0.068 (7)0.029 (7)0.022 (6)0.019 (6)
C40.056 (6)0.085 (8)0.081 (8)0.016 (6)0.012 (6)0.033 (7)
C50.058 (6)0.062 (6)0.056 (5)0.011 (5)0.010 (5)0.014 (5)
C60.069 (6)0.044 (5)0.048 (5)0.004 (4)0.005 (4)0.006 (4)
F20.112 (6)0.066 (4)0.074 (4)0.008 (4)0.019 (4)0.012 (3)
F30.106 (6)0.112 (6)0.099 (5)0.048 (5)0.045 (5)0.017 (5)
F40.053 (4)0.146 (8)0.127 (7)0.013 (4)0.013 (4)0.042 (6)
F50.088 (5)0.085 (5)0.089 (5)0.017 (4)0.020 (4)0.011 (4)
F60.077 (4)0.056 (3)0.055 (3)0.010 (3)0.006 (3)0.002 (3)
S20.0559 (13)0.0452 (11)0.0424 (10)0.0048 (9)0.0021 (9)0.0006 (8)
C70.051 (5)0.042 (4)0.037 (4)0.005 (4)0.001 (3)0.003 (3)
C80.061 (6)0.042 (4)0.047 (4)0.007 (4)0.005 (4)0.003 (3)
C90.072 (7)0.043 (5)0.043 (4)0.002 (4)0.000 (4)0.005 (4)
C100.075 (7)0.056 (6)0.055 (5)0.014 (5)0.011 (5)0.006 (4)
C110.039 (5)0.074 (7)0.065 (6)0.003 (5)0.007 (4)0.011 (5)
C120.051 (5)0.055 (5)0.052 (5)0.001 (4)0.000 (4)0.004 (4)
F80.068 (4)0.065 (3)0.064 (3)0.010 (3)0.012 (3)0.014 (3)
F90.110 (6)0.054 (3)0.055 (3)0.003 (3)0.001 (3)0.013 (3)
F100.088 (5)0.085 (5)0.093 (5)0.027 (4)0.026 (4)0.008 (4)
F110.055 (4)0.113 (6)0.113 (6)0.002 (4)0.002 (4)0.013 (5)
F120.058 (4)0.074 (4)0.068 (3)0.008 (3)0.011 (3)0.013 (3)
S30.0453 (12)0.0562 (13)0.0559 (12)0.0013 (10)0.0050 (10)0.0027 (10)
C130.044 (4)0.040 (4)0.048 (4)0.001 (4)0.001 (3)0.008 (3)
C140.055 (5)0.047 (5)0.044 (4)0.003 (4)0.000 (4)0.005 (4)
C150.059 (6)0.060 (6)0.054 (5)0.010 (5)0.012 (5)0.007 (4)
C160.048 (5)0.071 (7)0.064 (6)0.003 (5)0.010 (5)0.009 (5)
C170.053 (6)0.055 (5)0.059 (5)0.008 (4)0.003 (4)0.004 (4)
C180.075 (7)0.047 (5)0.046 (5)0.004 (5)0.001 (4)0.001 (4)
F140.077 (4)0.052 (3)0.056 (3)0.000 (3)0.003 (3)0.009 (2)
F150.076 (4)0.090 (5)0.077 (4)0.020 (4)0.023 (3)0.010 (4)
F160.046 (4)0.114 (7)0.104 (6)0.001 (4)0.017 (4)0.009 (4)
F170.069 (4)0.086 (5)0.099 (5)0.023 (4)0.006 (4)0.014 (4)
F180.076 (4)0.063 (4)0.067 (3)0.004 (3)0.006 (3)0.019 (3)
Geometric parameters (Å, º) top
Pb1—S12.971 (2)C7—C121.392 (13)
Pb1—S1i2.971 (2)C7—C81.393 (12)
Pb1—S23.030 (2)C8—F81.345 (11)
Pb1—S2i3.030 (2)C8—C91.377 (14)
Pb1—S3i3.036 (2)C9—F91.351 (11)
Pb1—S33.036 (2)C9—C101.376 (16)
Pb2—S22.704 (2)C10—F101.347 (12)
Pb2—S32.721 (2)C10—C111.372 (16)
Pb2—S1ii2.737 (3)C11—F111.335 (12)
S1—C11.742 (11)C11—C121.385 (14)
S1—Pb2iii2.737 (3)C12—F121.344 (11)
C1—C21.385 (14)S3—C131.746 (9)
C1—C61.409 (14)C13—C181.389 (13)
C2—F21.334 (13)C13—C141.394 (13)
C2—C31.382 (18)C14—C151.356 (14)
C3—F31.328 (14)C14—F141.367 (11)
C3—C41.37 (2)C15—F151.344 (12)
C4—F41.337 (14)C15—C161.369 (16)
C4—C51.378 (17)C16—F161.321 (12)
C5—F51.347 (13)C16—C171.381 (15)
C5—C61.365 (15)C17—F171.331 (12)
C6—F61.357 (11)C17—C181.375 (15)
S2—C71.746 (9)C18—F181.356 (11)
S1—Pb1—S1i180.0Pb2—S2—Pb196.83 (8)
S1—Pb1—S293.01 (7)C12—C7—C8116.0 (8)
S1i—Pb1—S286.99 (7)C12—C7—S2120.4 (7)
S1—Pb1—S2i86.99 (7)C8—C7—S2123.6 (7)
S1i—Pb1—S2i93.01 (7)F8—C8—C9117.4 (8)
S2—Pb1—S2i180.0F8—C8—C7120.3 (9)
S1—Pb1—S3i79.50 (7)C9—C8—C7122.4 (9)
S1i—Pb1—S3i100.50 (7)F9—C9—C10119.8 (9)
S2—Pb1—S3i113.51 (6)F9—C9—C8120.8 (10)
S2i—Pb1—S3i66.49 (6)C10—C9—C8119.4 (9)
S1—Pb1—S3100.50 (7)F10—C10—C11119.6 (11)
S1i—Pb1—S379.50 (7)F10—C10—C9119.6 (10)
S2—Pb1—S366.49 (6)C11—C10—C9120.7 (9)
S2i—Pb1—S3113.51 (6)F11—C11—C10120.6 (10)
S3i—Pb1—S3180.0F11—C11—C12120.6 (10)
S2—Pb2—S375.61 (7)C10—C11—C12118.8 (10)
S2—Pb2—S1ii86.56 (8)F12—C12—C11117.9 (9)
S3—Pb2—S1ii86.77 (8)F12—C12—C7119.4 (8)
C1—S1—Pb2iii103.5 (3)C11—C12—C7122.7 (9)
C1—S1—Pb1104.3 (3)C13—S3—Pb2102.6 (3)
Pb2iii—S1—Pb1118.29 (10)C13—S3—Pb1117.6 (3)
C2—C1—C6115.6 (10)Pb2—S3—Pb196.31 (7)
C2—C1—S1120.0 (8)C18—C13—C14114.6 (9)
C6—C1—S1124.4 (7)C18—C13—S3122.6 (7)
F2—C2—C3118.4 (11)C14—C13—S3122.8 (7)
F2—C2—C1119.2 (11)C15—C14—F14118.1 (9)
C3—C2—C1122.5 (11)C15—C14—C13123.6 (9)
F3—C3—C4120.5 (13)F14—C14—C13118.3 (8)
F3—C3—C2119.5 (14)F15—C15—C14121.0 (10)
C4—C3—C2119.9 (11)F15—C15—C16119.2 (10)
F4—C4—C3120.7 (13)C14—C15—C16119.8 (9)
F4—C4—C5119.7 (13)F16—C16—C15121.3 (10)
C3—C4—C5119.6 (11)F16—C16—C17119.1 (10)
F5—C5—C6119.0 (11)C15—C16—C17119.6 (10)
F5—C5—C4120.8 (11)F17—C17—C18119.7 (10)
C6—C5—C4120.2 (11)F17—C17—C16121.2 (10)
F6—C6—C5119.1 (9)C18—C17—C16119.1 (9)
F6—C6—C1118.7 (9)F18—C18—C17118.6 (9)
C5—C6—C1122.1 (10)F18—C18—C13118.1 (10)
C7—S2—Pb2107.7 (3)C17—C18—C13123.3 (9)
C7—S2—Pb1117.7 (3)
S1i—Pb1—S1—C1173 (18)C7—C8—C9—F9177.8 (8)
S2—Pb1—S1—C1132.1 (3)F8—C8—C9—C10179.0 (8)
S2i—Pb1—S1—C147.9 (3)C7—C8—C9—C101.6 (14)
S3i—Pb1—S1—C1114.5 (3)F9—C9—C10—F100.5 (14)
S3—Pb1—S1—C165.5 (3)C8—C9—C10—F10178.9 (9)
S1i—Pb1—S1—Pb2iii73 (14)F9—C9—C10—C11177.8 (9)
S2—Pb1—S1—Pb2iii113.71 (10)C8—C9—C10—C111.6 (15)
S2i—Pb1—S1—Pb2iii66.29 (10)F10—C10—C11—F113.1 (16)
S3i—Pb1—S1—Pb2iii0.35 (10)C9—C10—C11—F11179.6 (10)
S3—Pb1—S1—Pb2iii179.65 (10)F10—C10—C11—C12179.1 (9)
Pb2iii—S1—C1—C2143.9 (7)C9—C10—C11—C121.8 (16)
Pb1—S1—C1—C291.8 (7)F11—C11—C12—F120.1 (15)
Pb2iii—S1—C1—C633.7 (8)C10—C11—C12—F12177.9 (9)
Pb1—S1—C1—C690.6 (7)F11—C11—C12—C7179.8 (9)
C6—C1—C2—F2179.4 (8)C10—C11—C12—C72.0 (15)
S1—C1—C2—F22.7 (12)C8—C7—C12—F12178.0 (8)
C6—C1—C2—C30.1 (14)S2—C7—C12—F121.9 (12)
S1—C1—C2—C3177.7 (8)C8—C7—C12—C111.9 (13)
F2—C2—C3—F30.9 (15)S2—C7—C12—C11178.2 (8)
C1—C2—C3—F3179.6 (9)S2—Pb2—S3—C13158.1 (3)
F2—C2—C3—C4178.9 (10)S1ii—Pb2—S3—C13114.7 (3)
C1—C2—C3—C41.5 (16)S2—Pb2—S3—Pb137.95 (6)
F3—C3—C4—F40.1 (17)S1ii—Pb2—S3—Pb1125.23 (8)
C2—C3—C4—F4178.2 (10)S1—Pb1—S3—C1354.4 (3)
F3—C3—C4—C5179.5 (10)S1i—Pb1—S3—C13125.6 (3)
C2—C3—C4—C52.5 (17)S2—Pb1—S3—C13143.2 (3)
F4—C4—C5—F50.7 (15)S2i—Pb1—S3—C1336.8 (3)
C3—C4—C5—F5180.0 (10)S3i—Pb1—S3—C13102 (39)
F4—C4—C5—C6178.9 (9)S1—Pb1—S3—Pb253.29 (8)
C3—C4—C5—C61.8 (16)S1i—Pb1—S3—Pb2126.71 (8)
F5—C5—C6—F60.8 (13)S2—Pb1—S3—Pb235.43 (6)
C4—C5—C6—F6177.4 (9)S2i—Pb1—S3—Pb2144.57 (6)
F5—C5—C6—C1178.3 (8)S3i—Pb1—S3—Pb2151 (39)
C4—C5—C6—C10.1 (15)Pb2—S3—C13—C18130.3 (7)
C2—C1—C6—F6178.4 (8)Pb1—S3—C13—C1826.3 (8)
S1—C1—C6—F60.6 (12)Pb2—S3—C13—C1451.9 (7)
C2—C1—C6—C50.8 (13)Pb1—S3—C13—C14156.0 (6)
S1—C1—C6—C5176.9 (7)C18—C13—C14—C151.4 (13)
S3—Pb2—S2—C7160.1 (3)S3—C13—C14—C15176.5 (7)
S1ii—Pb2—S2—C7112.4 (3)C18—C13—C14—F14178.8 (8)
S3—Pb2—S2—Pb138.09 (7)S3—C13—C14—F143.3 (11)
S1ii—Pb2—S2—Pb1125.62 (7)F14—C14—C15—F150.4 (13)
S1—Pb1—S2—C749.7 (3)C13—C14—C15—F15179.4 (8)
S1i—Pb1—S2—C7130.3 (3)F14—C14—C15—C16179.7 (9)
S2i—Pb1—S2—C750 (9)C13—C14—C15—C160.2 (15)
S3i—Pb1—S2—C730.1 (4)F15—C15—C16—F161.6 (15)
S3—Pb1—S2—C7149.9 (4)C14—C15—C16—F16179.1 (9)
S1—Pb1—S2—Pb264.41 (8)F15—C15—C16—C17179.3 (9)
S1i—Pb1—S2—Pb2115.59 (8)C14—C15—C16—C171.4 (15)
S2i—Pb1—S2—Pb2165 (9)F16—C16—C17—F170.5 (15)
S3i—Pb1—S2—Pb2144.27 (6)C15—C16—C17—F17178.1 (10)
S3—Pb1—S2—Pb235.73 (6)F16—C16—C17—C18178.8 (9)
Pb2—S2—C7—C12144.4 (7)C15—C16—C17—C181.1 (15)
Pb1—S2—C7—C12107.6 (7)F17—C17—C18—F180.8 (14)
Pb2—S2—C7—C835.5 (8)C16—C17—C18—F18179.9 (9)
Pb1—S2—C7—C872.5 (8)F17—C17—C18—C13179.8 (9)
C12—C7—C8—F8178.8 (8)C16—C17—C18—C130.5 (15)
S2—C7—C8—F81.1 (12)C14—C13—C18—F18178.9 (8)
C12—C7—C8—C91.7 (13)S3—C13—C18—F183.2 (12)
S2—C7—C8—C9178.4 (7)C14—C13—C18—C171.7 (13)
F8—C8—C9—F91.6 (13)S3—C13—C18—C17176.2 (8)
Symmetry codes: (i) x+1, y+1, z+1; (ii) x+1, y1/2, z+1/2; (iii) x+1, y+1/2, z+1/2.
 

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