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The structure of the title compound, C17H23N3O10, (2), has been determined as part of our investigation into the synthetic utility of the glucosyl triazole unit in carbohydrate chemistry. Compound (2) was synthesized by the 1,3-dipolar cyclo­addition reaction of propargyl alcohol with 2,3,4,6-tetra-O-acetyl-β-D-glucopyranosyl azide under conditions which afforded (2) exclusively with complete retention of anomeric stereochemistry. The six-membered carbohydrate ring adopts a chair conformation. The non-H substituents are located in equatorial positions.

Supporting information

cif

Crystallographic Information File (CIF) https://doi.org/10.1107/S1600536806040864/sf2008sup1.cif
Contains datablocks global, 2

hkl

Structure factor file (CIF format) https://doi.org/10.1107/S1600536806040864/sf20082sup2.hkl
Contains datablock 2

CCDC reference: 628385

Key indicators

  • Single-crystal X-ray study
  • T = 295 K
  • Mean [sigma](C-C) = 0.006 Å
  • R factor = 0.038
  • wR factor = 0.110
  • Data-to-parameter ratio = 7.1

checkCIF/PLATON results

No syntax errors found



Alert level C PLAT089_ALERT_3_C Poor Data / Parameter Ratio (Zmax .LT. 18) ..... 7.09 PLAT220_ALERT_2_C Large Non-Solvent C Ueq(max)/Ueq(min) ... 2.78 Ratio PLAT220_ALERT_2_C Large Non-Solvent O Ueq(max)/Ueq(min) ... 2.51 Ratio PLAT242_ALERT_2_C Check Low Ueq as Compared to Neighbors for C21 PLAT242_ALERT_2_C Check Low Ueq as Compared to Neighbors for C31 PLAT242_ALERT_2_C Check Low Ueq as Compared to Neighbors for C41 PLAT242_ALERT_2_C Check Low Ueq as Compared to Neighbors for C61 PLAT340_ALERT_3_C Low Bond Precision on C-C bonds (x 1000) Ang ... 6 PLAT380_ALERT_4_C Check Incorrectly? Oriented X(sp2)-Methyl Moiety C42
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 25.00 From the CIF: _reflns_number_total 1922 Count of symmetry unique reflns 1924 Completeness (_total/calc) 99.90% TEST3: Check Friedels for noncentro structure Estimate of Friedel pairs measured 0 Fraction of Friedel pairs measured 0.000 Are heavy atom types Z>Si present no PLAT791_ALERT_1_G Confirm the Absolute Configuration of C1 = . R PLAT791_ALERT_1_G Confirm the Absolute Configuration of C2 = . R PLAT791_ALERT_1_G Confirm the Absolute Configuration of C3 = . S PLAT791_ALERT_1_G Confirm the Absolute Configuration of C4 = . R PLAT791_ALERT_1_G Confirm the Absolute Configuration of C5 = . R
0 ALERT level A = In general: serious problem 0 ALERT level B = Potentially serious problem 9 ALERT level C = Check and explain 6 ALERT level G = General alerts; check 5 ALERT type 1 CIF construction/syntax error, inconsistent or missing data 6 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 2 ALERT type 4 Improvement, methodology, query or suggestion 0 ALERT type 5 Informative message, check

Computing details top

Data collection: MSC/AFC7 Diffractometer Control (Molecular Structure Corporation, 1999); cell refinement: MSC/AFC7 Diffractometer Control; data reduction: TEXSAN for Windows (Molecular Structure Corporation, 2001); program(s) used to solve structure: TEXSAN for Windows; program(s) used to refine structure: TEXSAN for Windows and SHELXL97 (Sheldrick, 1997); molecular graphics: ORTEP-3 (Farrugia, 1997); software used to prepare material for publication: TEXSAN for Windows and PLATON (Spek, 2003).

4-hydroxymethyl-1-(2',3',4',6'-tetra-O-acetyl-β-D-glucopyranosyl) -1,2,3-triazole top
Crystal data top
C17H23N3O10F(000) = 452
Mr = 429.38Dx = 1.390 Mg m3
Monoclinic, P21Mo Kα radiation, λ = 0.71069 Å
Hall symbol: P 2ybCell parameters from 22 reflections
a = 14.8103 (19) Åθ = 12.9–17.5°
b = 9.3896 (16) ŵ = 0.12 mm1
c = 7.6195 (11) ÅT = 295 K
β = 104.504 (10)°Prism, colorless
V = 1025.8 (3) Å30.35 × 0.20 × 0.20 mm
Z = 2
Data collection top
Rigaku AFC-7R
diffractometer
Rint = 0.018
Radiation source: Rigaku rotating anodeθmax = 25.0°, θmin = 2.6°
Graphite monochromatorh = 017
ω–2θ scansk = 1111
2399 measured reflectionsl = 98
1922 independent reflections3 standard reflections every 150 reflections
1460 reflections with I > 2σ(I) intensity decay: 0.5%
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)] = 0.038Hydrogen site location: inferred from neighbouring sites
wR(F2) = 0.110H-atom parameters constrained
S = 1.03 w = 1/[σ2(Fo2) + (0.058P)2 + 0.1059P]
where P = (Fo2 + 2Fc2)/3
1922 reflections(Δ/σ)max = 0.023
271 parametersΔρmax = 0.21 e Å3
1 restraintΔρmin = 0.23 e Å3
Special details top

Experimental. The scan width was (1.68 + 0.30tanθ)° with an ω scan speed of 16° per minute (up to 4 scans to achieve I/σ(I) > 10). Stationary background counts were recorded at each end of the scan, and the scan time:background time ratio was 2:1.

Geometry. Bond distances, angles etc. have been calculated using the rounded fractional coordinates. All su's are estimated from the variances of the (full) variance-covariance matrix. The cell e.s.d.'s are taken into account in the estimation of distances, angles and torsion angles

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
O10.39243 (16)0.0693 (3)0.1477 (3)0.0390 (8)
O110.7255 (2)0.1489 (3)0.0833 (4)0.0541 (10)
O210.36392 (17)0.1695 (3)0.2369 (3)0.0418 (8)
O220.4226 (4)0.0410 (5)0.4281 (6)0.0980 (19)
O310.19370 (18)0.0092 (3)0.3193 (3)0.0442 (9)
O320.1149 (2)0.2147 (4)0.3309 (5)0.0774 (14)
O410.13727 (16)0.0637 (3)0.0042 (3)0.0413 (9)
O420.0961 (2)0.2866 (4)0.0801 (6)0.0738 (13)
O610.22242 (19)0.2329 (3)0.3409 (4)0.0474 (9)
O620.2446 (3)0.4675 (4)0.3614 (5)0.0701 (14)
N110.5063 (2)0.0624 (3)0.0685 (4)0.0370 (9)
N120.5590 (2)0.1617 (4)0.1749 (4)0.0462 (11)
N130.6456 (2)0.1338 (4)0.1775 (5)0.0479 (11)
C10.4073 (2)0.0555 (4)0.0538 (5)0.0361 (11)
C20.3496 (3)0.0436 (4)0.1413 (5)0.0356 (11)
C30.2475 (2)0.0362 (4)0.1368 (4)0.0353 (11)
C40.2305 (2)0.0844 (4)0.0176 (5)0.0375 (11)
C50.3000 (3)0.0810 (4)0.1710 (5)0.0384 (11)
C60.3057 (3)0.2173 (5)0.2782 (6)0.0491 (16)
C110.5602 (2)0.0307 (4)0.0065 (5)0.0401 (12)
C120.6487 (2)0.0147 (4)0.0766 (5)0.0377 (11)
C130.7390 (3)0.0516 (5)0.0625 (6)0.0476 (14)
C210.4022 (3)0.1542 (5)0.3796 (5)0.0482 (14)
C220.4140 (3)0.2939 (6)0.4613 (6)0.0595 (16)
C310.1332 (3)0.1095 (5)0.4034 (6)0.0507 (14)
C320.0916 (4)0.0671 (8)0.5950 (7)0.098 (3)
C410.0758 (3)0.1718 (5)0.0344 (5)0.0432 (12)
C420.0177 (3)0.1290 (6)0.0147 (8)0.0643 (19)
C610.2030 (3)0.3651 (5)0.3861 (5)0.0471 (14)
C620.1235 (4)0.3668 (6)0.4732 (8)0.0705 (19)
H10.388200.137300.109300.0440*
H20.367100.038400.197600.0430*
H30.228900.124400.094800.0430*
H40.234500.173000.074700.0450*
H50.286700.002400.239600.0460*
H6A0.311600.295300.203400.0590*
H6B0.358400.213300.379400.0590*
H110.540500.110400.069300.0470*
H11A0.737100.107400.175100.0640*
H13A0.780000.022100.044400.0580*
H13B0.766000.100100.172000.0580*
H22A0.468300.340200.390400.0720*
H22B0.420600.280900.581100.0720*
H22C0.361000.352500.464800.0720*
H32A0.115100.022300.617200.1170*
H32B0.108000.136800.673700.1170*
H32C0.025900.063800.616400.1170*
H41A0.062200.139300.127800.0780*
H42B0.016100.032200.023000.0780*
H42C0.034600.187700.073200.0780*
H62A0.068600.334400.389100.0860*
H62B0.114400.460100.511500.0860*
H62C0.137000.304400.575700.0860*
Atomic displacement parameters (Å2) top
U11U22U33U12U13U23
O10.0298 (12)0.0440 (16)0.0422 (14)0.0004 (12)0.0069 (10)0.0060 (13)
O110.0546 (17)0.0474 (17)0.0656 (19)0.0019 (15)0.0250 (15)0.0041 (16)
O210.0430 (14)0.0415 (16)0.0430 (14)0.0051 (13)0.0145 (11)0.0043 (13)
O220.169 (4)0.068 (3)0.087 (3)0.005 (3)0.088 (3)0.005 (2)
O310.0409 (15)0.0495 (17)0.0371 (14)0.0074 (13)0.0004 (11)0.0095 (13)
O320.064 (2)0.073 (3)0.080 (2)0.0263 (19)0.0102 (17)0.017 (2)
O410.0281 (12)0.0417 (16)0.0546 (16)0.0033 (12)0.0112 (11)0.0108 (14)
O420.0462 (18)0.051 (2)0.124 (3)0.0090 (16)0.0211 (18)0.029 (2)
O610.0464 (15)0.0444 (17)0.0581 (17)0.0033 (14)0.0256 (13)0.0066 (14)
O620.092 (3)0.047 (2)0.080 (2)0.0118 (19)0.0377 (19)0.0085 (18)
N110.0329 (15)0.0341 (17)0.0423 (16)0.0022 (14)0.0061 (13)0.0018 (15)
N120.0365 (17)0.0426 (19)0.0561 (19)0.0075 (16)0.0050 (15)0.0104 (18)
N130.0333 (18)0.043 (2)0.063 (2)0.0035 (16)0.0041 (15)0.0005 (18)
C10.0293 (18)0.037 (2)0.041 (2)0.0006 (16)0.0067 (15)0.0030 (18)
C20.0334 (19)0.033 (2)0.040 (2)0.0016 (16)0.0084 (15)0.0011 (17)
C30.0312 (18)0.042 (2)0.0296 (18)0.0020 (16)0.0019 (14)0.0067 (16)
C40.0314 (18)0.037 (2)0.045 (2)0.0015 (16)0.0111 (15)0.0084 (18)
C50.0350 (18)0.039 (2)0.043 (2)0.0029 (17)0.0129 (16)0.0027 (18)
C60.040 (2)0.051 (3)0.061 (3)0.007 (2)0.0213 (19)0.008 (2)
C110.036 (2)0.036 (2)0.048 (2)0.0003 (17)0.0101 (17)0.0015 (17)
C120.0353 (19)0.033 (2)0.042 (2)0.0020 (16)0.0047 (16)0.0086 (17)
C130.033 (2)0.042 (2)0.065 (3)0.0006 (19)0.0069 (18)0.008 (2)
C210.050 (2)0.057 (3)0.038 (2)0.003 (2)0.0116 (17)0.007 (2)
C220.063 (3)0.067 (3)0.047 (2)0.005 (3)0.011 (2)0.012 (2)
C310.035 (2)0.064 (3)0.049 (2)0.012 (2)0.0029 (18)0.008 (2)
C320.086 (4)0.149 (7)0.045 (3)0.062 (4)0.011 (3)0.018 (4)
C410.029 (2)0.046 (2)0.052 (2)0.0034 (18)0.0051 (17)0.005 (2)
C420.041 (3)0.073 (4)0.080 (3)0.013 (2)0.017 (2)0.014 (3)
C610.050 (2)0.049 (3)0.042 (2)0.001 (2)0.0109 (18)0.006 (2)
C620.066 (3)0.068 (3)0.089 (4)0.000 (3)0.041 (3)0.017 (3)
Geometric parameters (Å, º) top
O1—C11.419 (5)C12—C131.503 (6)
O1—C51.428 (5)C21—C221.481 (7)
O11—C131.413 (5)C31—C321.490 (7)
O21—C21.432 (5)C41—C421.485 (7)
O21—C211.354 (5)C61—C621.489 (8)
O22—C211.189 (7)C1—H10.9500
O31—C31.442 (4)C2—H20.9500
O31—C311.346 (5)C3—H30.9500
O32—C311.196 (6)C4—H40.9500
O41—C41.445 (4)C5—H50.9500
O41—C411.346 (5)C6—H6A0.9500
O42—C411.194 (6)C6—H6B0.9500
O61—C61.437 (5)C11—H110.9500
O61—C611.339 (5)C13—H13A0.9500
O62—C611.182 (6)C13—H13B0.9500
O11—H11A0.8500C22—H22A0.9500
N11—N121.349 (4)C22—H22B0.9500
N11—C111.347 (5)C22—H22C0.9500
N11—C11.444 (4)C32—H32A0.9400
N12—N131.304 (4)C32—H32B0.9600
N13—C121.364 (5)C32—H32C0.9500
C1—C21.522 (5)C42—H41A0.9500
C2—C31.523 (5)C42—H42B0.9500
C3—C41.512 (5)C42—H42C0.9500
C4—C51.544 (5)C62—H62A0.9500
C5—C61.509 (6)C62—H62B0.9400
C11—C121.354 (5)C62—H62C0.9600
O1···N123.252 (4)C4···H13.1000
O11···C3i3.373 (5)C11···H22.8900
O11···O62ii2.839 (5)C12···H6Aii2.9500
O21···C313.381 (5)C13···H3i3.0800
O21···N112.901 (4)C31···H62Av3.0600
O21···O312.868 (4)C32···H42Biii3.0900
O21···C11ii3.359 (5)C61···H11Ai3.0400
O22···C5iii3.341 (6)C62···H32Cvi2.7800
O31···O212.868 (4)H1···C43.1000
O31···O412.877 (3)H1···H32.4800
O32···C13ii3.386 (6)H1···H52.3900
O41···O613.013 (4)H1···O11ii2.6000
O41···O312.877 (3)H2···O222.2400
O61···O413.013 (4)H2···C112.8900
O61···C413.180 (5)H2···H112.6000
O62···O11i2.839 (5)H3···O322.3000
O62···C13i3.392 (6)H3···H12.4800
O62···C22iv3.382 (7)H3···O11ii2.5200
O1···H22Ai2.5500H3···C13ii3.0800
O11···H3i2.5200H4···O422.3000
O11···H112.7900H4···H6A2.4300
O11···H1i2.6000H4···N13i2.7800
O22···H5iii2.8400H5···O22viii2.8400
O22···H6Biii2.8400H5···H12.3900
O22···H22.2400H6A···O622.3800
O32···H13Bii2.5600H6A···H42.4300
O32···H42Cv2.7000H6A···C12i2.9500
O32···H62Av2.6800H6B···O22viii2.8400
O32···H32.3000H6B···O622.9100
O42···H13Ai2.5300H6B···H22Ai2.6000
O42···H42.3000H11···O112.7900
O42···H42Bvi2.6800H11···C23.1000
O42···H62Ciii2.8400H11···H22.6000
O42···H32Cvii2.9100H11···N12i2.6100
O61···H32Aviii2.6100H11A···O62ii2.0000
O62···H22Civ2.5400H11A···C61ii3.0400
O62···H6A2.3800H13A···O42ii2.5300
O62···H6B2.9100H13B···O32i2.5600
O62···H11Ai2.0000H22A···O1ii2.5500
N11···O212.901 (4)H22A···H6Bii2.6000
N12···O13.252 (4)H22C···O62ix2.5400
N12···H11ii2.6100H32A···O61iii2.6100
N13···H4ii2.7800H32B···H41Ax2.5800
C3···O11ii3.373 (5)H32C···O42x2.9100
C5···O22viii3.341 (6)H32C···C62v2.7800
C11···O21i3.359 (5)H32C···H62Bv2.4200
C13···O32i3.386 (6)H41A···H32Bvii2.5800
C13···O62ii3.392 (6)H42B···C32viii3.0900
C22···O62ix3.382 (7)H42B···O42v2.6800
C31···O213.381 (5)H42C···O32vi2.7000
C32···C62v3.588 (9)H62A···O32vi2.6800
C41···O613.180 (5)H62A···C31vi3.0600
C62···C32vi3.588 (9)H62B···H32Cvi2.4200
C2···H113.1000H62C···O42viii2.8400
C1—O1—C5113.6 (3)C1—C2—H2111.00
C2—O21—C21117.8 (3)C3—C2—H2111.00
C3—O31—C31118.5 (3)O31—C3—H3110.00
C4—O41—C41119.2 (3)C2—C3—H3110.00
C6—O61—C61116.0 (3)C4—C3—H3110.00
C13—O11—H11A109.00O41—C4—H4110.00
N12—N11—C11110.8 (3)C3—C4—H4110.00
C1—N11—C11128.6 (3)C5—C4—H4110.00
N12—N11—C1120.1 (3)O1—C5—H5110.00
N11—N12—N13106.8 (3)C4—C5—H5110.00
N12—N13—C12109.1 (3)C6—C5—H5111.00
O1—C1—N11106.3 (3)O61—C6—H6A110.00
O1—C1—C2108.2 (3)O61—C6—H6B109.00
N11—C1—C2113.0 (3)C5—C6—H6A109.00
O21—C2—C3108.9 (3)C5—C6—H6B109.00
C1—C2—C3107.4 (3)H6A—C6—H6B110.00
O21—C2—C1108.5 (3)N11—C11—H11127.00
O31—C3—C2107.4 (3)C12—C11—H11128.00
O31—C3—C4108.2 (3)O11—C13—H13A109.00
C2—C3—C4111.3 (3)O11—C13—H13B109.00
O41—C4—C3106.0 (3)C12—C13—H13A109.00
O41—C4—C5108.9 (3)C12—C13—H13B109.00
C3—C4—C5111.8 (3)H13A—C13—H13B109.00
O1—C5—C6102.0 (3)C21—C22—H22A110.00
C4—C5—C6114.8 (3)C21—C22—H22B110.00
O1—C5—C4108.8 (3)C21—C22—H22C110.00
O61—C6—C5109.3 (4)H22A—C22—H22B109.00
N11—C11—C12104.9 (3)H22A—C22—H22C109.00
N13—C12—C11108.3 (3)H22B—C22—H22C109.00
C11—C12—C13129.2 (4)C31—C32—H32A110.00
N13—C12—C13122.4 (3)C31—C32—H32B109.00
O11—C13—C12111.8 (3)C31—C32—H32C109.00
O21—C21—O22122.3 (4)H32A—C32—H32B109.00
O21—C21—C22111.2 (4)H32A—C32—H32C111.00
O22—C21—C22126.5 (4)H32B—C32—H32C109.00
O31—C31—O32124.0 (4)C41—C42—H41A109.00
O31—C31—C32110.0 (4)C41—C42—H42B110.00
O32—C31—C32126.0 (5)C41—C42—H42C109.00
O41—C41—C42111.8 (4)H41A—C42—H42B109.00
O42—C41—C42125.7 (4)H41A—C42—H42C110.00
O41—C41—O42122.6 (4)H42B—C42—H42C109.00
O61—C61—C62111.7 (4)C61—C62—H62A110.00
O62—C61—C62124.3 (5)C61—C62—H62B110.00
O61—C61—O62124.0 (4)C61—C62—H62C109.00
O1—C1—H1110.00H62A—C62—H62B110.00
N11—C1—H1110.00H62A—C62—H62C109.00
C2—C1—H1110.00H62B—C62—H62C109.00
O21—C2—H2110.00
C5—O1—C1—N11170.7 (3)N12—N11—C1—O1108.7 (3)
C5—O1—C1—C267.7 (4)N11—N12—N13—C121.5 (4)
C1—O1—C5—C460.3 (4)N12—N13—C12—C13175.8 (4)
C1—O1—C5—C6178.0 (3)N12—N13—C12—C111.2 (4)
C21—O21—C2—C1118.4 (3)O1—C1—C2—O21179.8 (3)
C21—O21—C2—C3125.0 (3)N11—C1—C2—C3179.6 (3)
C2—O21—C21—O221.1 (6)O1—C1—C2—C362.2 (4)
C2—O21—C21—C22178.9 (3)N11—C1—C2—O2162.9 (4)
C31—O31—C3—C2115.5 (4)C1—C2—C3—O31173.8 (3)
C31—O31—C3—C4124.2 (3)O21—C2—C3—C4172.9 (3)
C3—O31—C31—O327.0 (6)O21—C2—C3—O3168.9 (4)
C3—O31—C31—C32174.7 (4)C1—C2—C3—C455.5 (4)
C41—O41—C4—C3126.9 (3)O31—C3—C4—C5168.4 (3)
C41—O41—C4—C5112.6 (3)O31—C3—C4—O4173.1 (3)
C4—O41—C41—O422.8 (6)C2—C3—C4—O41169.1 (3)
C4—O41—C41—C42176.7 (3)C2—C3—C4—C550.6 (4)
C61—O61—C6—C5159.4 (3)O41—C4—C5—C679.4 (4)
C6—O61—C61—O627.3 (6)O41—C4—C5—O1167.2 (3)
C6—O61—C61—C62172.0 (4)C3—C4—C5—O150.3 (4)
C1—N11—N12—N13173.5 (3)C3—C4—C5—C6163.8 (3)
C11—N11—N12—N131.3 (4)O1—C5—C6—O61170.1 (3)
N12—N11—C1—C2132.8 (3)C4—C5—C6—O6172.4 (4)
C11—N11—C1—O161.9 (4)N11—C11—C12—C13176.3 (4)
C11—N11—C1—C256.6 (5)N11—C11—C12—N130.4 (4)
N12—N11—C11—C120.6 (4)C11—C12—C13—O1119.1 (6)
C1—N11—C11—C12171.9 (3)N13—C12—C13—O11164.6 (4)
Symmetry codes: (i) x+1, y1/2, z; (ii) x+1, y+1/2, z; (iii) x, y, z1; (iv) x, y1, z+1; (v) x, y+1/2, z; (vi) x, y1/2, z; (vii) x, y1/2, z1; (viii) x, y, z+1; (ix) x, y+1, z1; (x) x, y+1/2, z1.
Hydrogen-bond geometry (Å, º) top
D—H···AD—HH···AD···AD—H···A
O11—H11A···O62ii0.85002.00002.839 (5)166.00
C1—H1···O11ii0.95002.60003.442 (5)148.00
C2—H2···O220.95002.24002.670 (7)106.00
C3—H3···O320.95002.30002.720 (5)106.00
C3—H3···O11ii0.95002.52003.373 (5)148.00
C4—H4···O420.95002.30002.705 (5)105.00
C11—H11···N12i0.95002.61003.485 (5)154.00
C13—H13A···O42ii0.95002.53003.466 (6)166.00
C13—H13B···O32i0.95002.56003.386 (6)146.00
C22—H22A···O1ii0.95002.55003.485 (5)168.00
C22—H22C···O62ix0.95002.54003.382 (7)148.00
Symmetry codes: (i) x+1, y1/2, z; (ii) x+1, y+1/2, z; (ix) x, y+1, z1.
 

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