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In the crystal of the title compound, the formation of an intra­molecular O–H...O hydrogen bond between the hy­droxy group and the meth­oxy group at the 1,2-positions of the acenaphthene ring core giving rise to a five-membered cyclic organization is observed. In the mol­ecular packing, a pair of non-classical C—H...O hydrogen bonds forms centrosymmetric dimeric structures.

Supporting information

cif

Crystallographic Information File (CIF) https://doi.org/10.1107/S2056989021000669/vm2244sup1.cif
Contains datablock I

hkl

Structure factor file (CIF format) https://doi.org/10.1107/S2056989021000669/vm2244Isup2.hkl
Contains datablock I

pdf

Portable Document Format (PDF) file https://doi.org/10.1107/S2056989021000669/vm2244sup3.pdf
IR spectrum of title compound

pdf

Portable Document Format (PDF) file https://doi.org/10.1107/S2056989021000669/vm2244sup4.pdf
NMR spectrum (-0.5-10.5 ppm)

pdf

Portable Document Format (PDF) file https://doi.org/10.1107/S2056989021000669/vm2244sup5.pdf
NMR spectrum (3.0-4.0 ppm)

pdf

Portable Document Format (PDF) file https://doi.org/10.1107/S2056989021000669/vm2244sup6.pdf
NMR spectrum (6.0-8.0 ppm)

cml

Chemical Markup Language (CML) file https://doi.org/10.1107/S2056989021000669/vm2244Isup7.cml
Supplementary material

CCDC reference: 2057372

Key indicators

  • Single-crystal X-ray study
  • T = 193 K
  • Mean [sigma](C-C) = 0.002 Å
  • R factor = 0.043
  • wR factor = 0.115
  • Data-to-parameter ratio = 12.8

checkCIF/PLATON results

No syntax errors found



Alert level C PLAT230_ALERT_2_C Hirshfeld Test Diff for C3 --C4 . 5.6 s.u. PLAT906_ALERT_3_C Large K Value in the Analysis of Variance ...... 2.311 Check PLAT911_ALERT_3_C Missing FCF Refl Between Thmin & STh/L= 0.600 57 Report
Alert level G PLAT005_ALERT_5_G No Embedded Refinement Details Found in the CIF Please Do ! PLAT063_ALERT_4_G Crystal Size Possibly too Large for Beam Size .. 0.80 mm PLAT154_ALERT_1_G The s.u.'s on the Cell Angles are Equal ..(Note) 0.001 Degree PLAT725_ALERT_2_G D-H Calc 0.98000, Rep 0.95000 Dev... 0.03 Ang. C26 -H26C 1.555 1.555 ........ # 59 Check PLAT725_ALERT_2_G D-H Calc 0.98000, Rep 0.95000 Dev... 0.03 Ang. C26 -H26C 1.555 1.555 ........ # 59 Check PLAT725_ALERT_2_G D-H Calc 0.98000, Rep 0.95000 Dev... 0.03 Ang. C26 -H26C 1.555 1.555 ........ # 59 Check PLAT725_ALERT_2_G D-H Calc 0.98000, Rep 0.95000 Dev... 0.03 Ang. C25 -H25B 1.555 1.555 ........ # 59 Check PLAT793_ALERT_4_G Model has Chirality at C11 (Centro SPGR) S Verify PLAT793_ALERT_4_G Model has Chirality at C18 (Centro SPGR) R Verify PLAT912_ALERT_4_G Missing # of FCF Reflections Above STh/L= 0.600 9 Note PLAT978_ALERT_2_G Number C-C Bonds with Positive Residual Density. 13 Info
0 ALERT level A = Most likely a serious problem - resolve or explain 0 ALERT level B = A potentially serious problem, consider carefully 3 ALERT level C = Check. Ensure it is not caused by an omission or oversight 11 ALERT level G = General information/check it is not something unexpected 1 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 4 ALERT type 4 Improvement, methodology, query or suggestion 1 ALERT type 5 Informative message, check
checkCIF publication errors
Alert level A PUBL024_ALERT_1_A The number of authors is greater than 5. Please specify the role of each of the co-authors for your paper.
1 ALERT level A = Data missing that is essential or data in wrong format 0 ALERT level G = General alerts. Data that may be required is missing

Computing details top

Data collection: PROCESS-AUTO (Rigaku, 1998); cell refinement: PROCESS-AUTO (Rigaku, 1998); data reduction: CrystalStructure (Rigaku, 2010); program(s) used to solve structure: SIR2014 (Burla et al., 2007); program(s) used to refine structure: SHELXL2018/3 (Sheldrick, 2015); molecular graphics: OLEX2 (Dolomanov et al., 2009); software used to prepare material for publication: OLEX2 (Dolomanov et al., 2009).

1,2-Bis(4-fluorophenyl)-1-hydroxy-2,3,8-trimethoxyacenaphthene top
Crystal data top
C27H22F2O4Z = 2
Mr = 448.44F(000) = 468
Triclinic, P1Dx = 1.371 Mg m3
a = 10.14886 (18) ÅCu Kα radiation, λ = 1.54187 Å
b = 11.1827 (2) ÅCell parameters from 15130 reflections
c = 11.6411 (2) Åθ = 4.1–68.2°
α = 66.724 (1)°µ = 0.86 mm1
β = 77.693 (1)°T = 193 K
γ = 63.613 (1)°Plate, colourless
V = 1086.07 (4) Å30.8 × 0.35 × 0.1 mm
Data collection top
Rigaku R-AXIS RAPID
diffractometer
3743 reflections with I > 2σ(I)
Detector resolution: 10.00 pixels mm-1Rint = 0.063
ω scansθmax = 68.2°, θmin = 4.1°
Absorption correction: numerical
(NUMABS; Higashi, 1999)
h = 1112
Tmin = 0.542, Tmax = 0.918k = 1313
40472 measured reflectionsl = 1314
3919 independent reflections
Refinement top
Refinement on F2Hydrogen site location: mixed
Least-squares matrix: fullH atoms treated by a mixture of independent and constrained refinement
R[F2 > 2σ(F2)] = 0.043 w = 1/[σ2(Fo2) + (0.0586P)2 + 0.398P]
where P = (Fo2 + 2Fc2)/3
wR(F2) = 0.115(Δ/σ)max < 0.001
S = 1.06Δρmax = 0.32 e Å3
3919 reflectionsΔρmin = 0.21 e Å3
306 parametersExtinction correction: SHELXL2018/3 (Sheldrick 2015), Fc*=kFc[1+0.001xFc2λ3/sin(2θ)]-1/4
0 restraintsExtinction coefficient: 0.0290 (13)
Primary atom site location: structure-invariant direct methods
Special details top

Geometry. All esds (except the esd in the dihedral angle between two l.s. planes) are estimated using the full covariance matrix. The cell esds are taken into account individually in the estimation of esds in distances, angles and torsion angles; correlations between esds in cell parameters are only used when they are defined by crystal symmetry. An approximate (isotropic) treatment of cell esds is used for estimating esds involving l.s. planes.

Fractional atomic coordinates and isotropic or equivalent isotropic displacement parameters (Å2) top
xyzUiso*/Ueq
F10.54395 (13)0.19439 (16)0.30239 (12)0.0761 (4)
F20.10156 (14)0.08720 (11)0.63826 (10)0.0606 (3)
O10.58174 (13)0.24840 (15)0.78038 (13)0.0578 (4)
O20.16964 (13)0.39006 (15)0.92690 (12)0.0557 (3)
O30.21992 (11)0.51843 (10)0.68218 (9)0.0355 (3)
O40.00974 (11)0.48709 (11)0.68032 (9)0.0355 (3)
C10.33402 (16)0.28835 (15)0.83979 (13)0.0348 (3)
C20.47642 (18)0.23756 (17)0.87338 (17)0.0443 (4)
C30.5048 (2)0.18063 (19)1.00327 (19)0.0563 (5)
H30.6035350.1406401.0269870.068*
C40.3953 (2)0.18154 (19)1.09462 (17)0.0547 (5)
H4A0.4187390.1451061.1798680.066*
C50.1206 (2)0.25049 (19)1.14585 (15)0.0533 (5)
H50.1308720.2210411.2331680.064*
C60.0160 (2)0.30589 (19)1.10192 (15)0.0504 (4)
H60.0993210.3179311.1587710.060*
C70.03631 (18)0.34594 (17)0.97319 (14)0.0410 (4)
C80.08404 (16)0.33506 (14)0.89067 (13)0.0325 (3)
C90.22314 (17)0.28432 (15)0.93596 (13)0.0352 (3)
C100.2480 (2)0.23577 (16)1.06408 (14)0.0451 (4)
C110.25998 (15)0.36839 (14)0.71479 (13)0.0298 (3)
C120.33911 (15)0.32035 (15)0.60487 (13)0.0315 (3)
C130.44715 (17)0.18364 (16)0.62201 (15)0.0389 (3)
H130.4737770.1191680.7043390.047*
C140.51608 (18)0.14074 (19)0.52049 (18)0.0483 (4)
H140.5911210.0481810.5320170.058*
C150.47354 (18)0.2349 (2)0.40290 (17)0.0498 (4)
C160.36465 (19)0.3690 (2)0.38148 (15)0.0475 (4)
H160.3351720.4308940.2990570.057*
C170.29898 (16)0.41139 (17)0.48419 (14)0.0382 (3)
H170.2250340.5046440.4715340.046*
C180.09992 (14)0.35988 (14)0.75182 (12)0.0293 (3)
C190.09615 (14)0.23884 (14)0.72425 (12)0.0289 (3)
C200.06485 (16)0.26136 (15)0.60484 (13)0.0343 (3)
H200.0424760.3528590.5424560.041*
C210.06587 (18)0.15193 (17)0.57558 (14)0.0403 (4)
H210.0442050.1675740.4940820.048*
C220.09894 (18)0.02068 (16)0.66732 (15)0.0411 (4)
C230.12865 (18)0.00576 (16)0.78620 (15)0.0428 (4)
H230.1499170.0974290.8480940.051*
C240.12699 (16)0.10486 (15)0.81439 (13)0.0356 (3)
H240.1472740.0883520.8965800.043*
C250.7328 (2)0.1777 (3)0.8115 (3)0.0758 (7)
H25A0.7511220.2220330.8606430.091*
H25B0.7954640.1851820.7344810.091*
H25C0.7553340.0772560.8606690.091*
C260.2991 (2)0.4337 (2)1.00169 (19)0.0586 (5)
H26A0.3043480.3507821.0722450.070*
H26B0.3854040.4784650.9511980.070*
H26C0.2972450.5020431.0334440.070*
C270.33921 (18)0.56172 (17)0.65522 (16)0.0439 (4)
H27A0.3938860.5211620.7309910.053*
H27B0.3005900.6656570.6267040.053*
H27C0.4050550.5280520.5894610.053*
H40.010 (3)0.553 (3)0.677 (2)0.068 (7)*
Atomic displacement parameters (Å2) top
U11U22U33U12U13U23
F10.0604 (7)0.1262 (11)0.0743 (8)0.0387 (7)0.0184 (6)0.0758 (8)
F20.0874 (8)0.0489 (6)0.0625 (6)0.0347 (6)0.0005 (6)0.0285 (5)
O10.0283 (6)0.0732 (8)0.0771 (9)0.0168 (6)0.0053 (6)0.0335 (7)
O20.0382 (7)0.0851 (9)0.0588 (7)0.0323 (6)0.0186 (5)0.0413 (7)
O30.0335 (5)0.0294 (5)0.0434 (6)0.0157 (4)0.0060 (4)0.0127 (4)
O40.0296 (5)0.0296 (5)0.0409 (6)0.0073 (4)0.0062 (4)0.0086 (4)
C10.0348 (8)0.0331 (7)0.0382 (8)0.0130 (6)0.0062 (6)0.0124 (6)
C20.0350 (8)0.0431 (8)0.0583 (10)0.0117 (7)0.0108 (7)0.0209 (7)
C30.0528 (11)0.0467 (9)0.0707 (12)0.0089 (8)0.0329 (9)0.0188 (8)
C40.0758 (13)0.0452 (9)0.0445 (9)0.0216 (9)0.0256 (9)0.0084 (7)
C50.0902 (14)0.0503 (10)0.0277 (7)0.0393 (10)0.0033 (8)0.0118 (7)
C60.0710 (12)0.0550 (10)0.0382 (8)0.0397 (9)0.0172 (8)0.0222 (7)
C70.0479 (9)0.0438 (8)0.0409 (8)0.0272 (7)0.0111 (7)0.0203 (7)
C80.0371 (8)0.0320 (7)0.0318 (7)0.0181 (6)0.0022 (6)0.0113 (5)
C90.0440 (8)0.0304 (7)0.0334 (7)0.0175 (6)0.0037 (6)0.0094 (6)
C100.0682 (11)0.0370 (8)0.0346 (8)0.0246 (8)0.0123 (7)0.0075 (6)
C110.0269 (7)0.0278 (6)0.0334 (7)0.0116 (5)0.0005 (5)0.0090 (5)
C120.0256 (7)0.0362 (7)0.0364 (7)0.0160 (6)0.0027 (5)0.0140 (6)
C130.0345 (8)0.0370 (8)0.0478 (8)0.0144 (6)0.0003 (6)0.0178 (6)
C140.0366 (8)0.0517 (9)0.0687 (11)0.0154 (7)0.0028 (8)0.0377 (9)
C150.0387 (9)0.0788 (12)0.0558 (10)0.0300 (9)0.0116 (7)0.0461 (9)
C160.0409 (9)0.0744 (12)0.0370 (8)0.0315 (8)0.0033 (6)0.0216 (8)
C170.0289 (7)0.0464 (8)0.0377 (8)0.0158 (6)0.0018 (6)0.0136 (6)
C180.0257 (7)0.0291 (6)0.0294 (7)0.0103 (5)0.0008 (5)0.0074 (5)
C190.0220 (6)0.0314 (7)0.0315 (7)0.0108 (5)0.0004 (5)0.0096 (5)
C200.0345 (7)0.0357 (7)0.0315 (7)0.0161 (6)0.0003 (5)0.0086 (6)
C210.0445 (9)0.0480 (9)0.0342 (7)0.0222 (7)0.0007 (6)0.0169 (6)
C220.0430 (9)0.0382 (8)0.0495 (9)0.0191 (7)0.0036 (7)0.0222 (7)
C230.0472 (9)0.0303 (7)0.0461 (9)0.0146 (6)0.0064 (7)0.0075 (6)
C240.0361 (8)0.0343 (7)0.0346 (7)0.0137 (6)0.0059 (6)0.0084 (6)
C250.0308 (10)0.0853 (15)0.1151 (19)0.0114 (9)0.0110 (10)0.0478 (14)
C260.0476 (10)0.0519 (10)0.0647 (11)0.0186 (8)0.0220 (9)0.0228 (9)
C270.0444 (9)0.0433 (8)0.0531 (9)0.0272 (7)0.0110 (7)0.0207 (7)
Geometric parameters (Å, º) top
F1—C151.3637 (18)C12—C171.386 (2)
F2—C221.3640 (17)C13—H130.9500
O1—C21.359 (2)C13—C141.383 (2)
O1—C251.428 (2)C14—H140.9500
O2—C71.368 (2)C14—C151.370 (3)
O2—C261.414 (2)C15—C161.372 (3)
O3—C111.4425 (16)C16—H160.9500
O3—C271.4273 (18)C16—C171.387 (2)
O4—C181.4166 (16)C17—H170.9500
O4—H40.84 (2)C18—C191.5269 (18)
C1—C21.378 (2)C19—C201.3917 (19)
C1—C91.411 (2)C19—C241.3872 (19)
C1—C111.5239 (19)C20—H200.9500
C2—C31.427 (3)C20—C211.389 (2)
C3—H30.9500C21—H210.9500
C3—C41.364 (3)C21—C221.372 (2)
C4—H4A0.9500C22—C231.367 (2)
C4—C101.407 (3)C23—H230.9500
C5—H50.9500C23—C241.392 (2)
C5—C61.362 (3)C24—H240.9500
C5—C101.419 (3)C25—H25A0.9800
C6—H60.9500C25—H25B0.9800
C6—C71.417 (2)C25—H25C0.9800
C7—C81.375 (2)C26—H26A0.9800
C8—C91.401 (2)C26—H26B0.9800
C8—C181.5133 (18)C26—H26C0.9800
C9—C101.408 (2)C27—H27A0.9800
C11—C121.5141 (19)C27—H27B0.9800
C11—C181.6248 (18)C27—H27C0.9800
C12—C131.393 (2)
C2—O1—C25119.03 (16)F1—C15—C16118.41 (17)
C7—O2—C26118.84 (14)C14—C15—C16122.98 (15)
C27—O3—C11116.01 (11)C15—C16—H16121.1
C18—O4—H4106.2 (16)C15—C16—C17117.80 (16)
C2—C1—C9118.08 (14)C17—C16—H16121.1
C2—C1—C11133.46 (14)C12—C17—C16121.32 (15)
C9—C1—C11108.01 (12)C12—C17—H17119.3
O1—C2—C1117.94 (15)C16—C17—H17119.3
O1—C2—C3123.50 (15)O4—C18—C8114.24 (11)
C1—C2—C3118.53 (16)O4—C18—C11110.16 (10)
C2—C3—H3118.8O4—C18—C19106.73 (11)
C4—C3—C2122.39 (16)C8—C18—C11101.96 (10)
C4—C3—H3118.8C8—C18—C19112.03 (11)
C3—C4—H4A119.6C19—C18—C11111.78 (10)
C3—C4—C10120.78 (15)C20—C19—C18119.58 (12)
C10—C4—H4A119.6C24—C19—C18121.77 (12)
C6—C5—H5119.3C24—C19—C20118.63 (13)
C6—C5—C10121.46 (15)C19—C20—H20119.5
C10—C5—H5119.3C21—C20—C19120.95 (13)
C5—C6—H6119.3C21—C20—H20119.5
C5—C6—C7121.39 (16)C20—C21—H21120.8
C7—C6—H6119.3C22—C21—C20118.35 (14)
O2—C7—C6123.20 (14)C22—C21—H21120.8
O2—C7—C8117.86 (14)F2—C22—C21118.38 (14)
C8—C7—C6118.89 (16)F2—C22—C23118.95 (14)
C7—C8—C9119.25 (13)C23—C22—C21122.66 (14)
C7—C8—C18131.42 (14)C22—C23—H23120.8
C9—C8—C18109.19 (12)C22—C23—C24118.42 (14)
C8—C9—C1112.86 (12)C24—C23—H23120.8
C8—C9—C10123.07 (15)C19—C24—C23120.98 (14)
C10—C9—C1124.07 (15)C19—C24—H24119.5
C4—C10—C5128.23 (15)C23—C24—H24119.5
C4—C10—C9116.01 (16)O1—C25—H25A109.5
C9—C10—C5115.74 (16)O1—C25—H25B109.5
O3—C11—C1109.27 (11)O1—C25—H25C109.5
O3—C11—C12110.59 (11)H25A—C25—H25B109.5
O3—C11—C18101.39 (10)H25A—C25—H25C109.5
C1—C11—C18102.50 (10)H25B—C25—H25C109.5
C12—C11—C1118.16 (11)O2—C26—H26A109.5
C12—C11—C18113.41 (11)O2—C26—H26B109.5
C13—C12—C11121.58 (13)O2—C26—H26C109.5
C17—C12—C11119.66 (12)H26A—C26—H26B109.5
C17—C12—C13118.69 (14)H26A—C26—H26C109.5
C12—C13—H13119.6H26B—C26—H26C109.5
C14—C13—C12120.74 (15)O3—C27—H27A109.5
C14—C13—H13119.6O3—C27—H27B109.5
C13—C14—H14120.8O3—C27—H27C109.5
C15—C14—C13118.43 (16)H27A—C27—H27B109.5
C15—C14—H14120.8H27A—C27—H27C109.5
F1—C15—C14118.61 (17)H27B—C27—H27C109.5
F1—C15—C16—C17176.86 (14)C9—C1—C11—O387.60 (13)
F2—C22—C23—C24179.41 (14)C9—C1—C11—C12144.84 (12)
O1—C2—C3—C4174.48 (16)C9—C1—C11—C1819.37 (14)
O2—C7—C8—C9177.25 (13)C9—C8—C18—O4137.95 (12)
O2—C7—C8—C181.9 (2)C9—C8—C18—C1119.14 (13)
O3—C11—C12—C13148.52 (13)C9—C8—C18—C19100.53 (13)
O3—C11—C12—C1734.66 (17)C10—C5—C6—C72.6 (3)
O3—C11—C18—O431.44 (13)C11—C1—C2—O15.4 (3)
O3—C11—C18—C890.22 (11)C11—C1—C2—C3172.69 (15)
O3—C11—C18—C19149.93 (10)C11—C1—C9—C88.32 (16)
O4—C18—C19—C2034.99 (16)C11—C1—C9—C10171.21 (13)
O4—C18—C19—C24146.74 (13)C11—C12—C13—C14178.65 (13)
C1—C2—C3—C43.5 (3)C11—C12—C17—C16177.26 (13)
C1—C9—C10—C43.6 (2)C11—C18—C19—C2085.53 (14)
C1—C9—C10—C5175.15 (14)C11—C18—C19—C2492.74 (15)
C1—C11—C12—C1321.59 (19)C12—C11—C18—O487.12 (13)
C1—C11—C12—C17161.59 (13)C12—C11—C18—C8151.21 (11)
C1—C11—C18—O4144.36 (11)C12—C11—C18—C1931.37 (15)
C1—C11—C18—C822.70 (12)C12—C13—C14—C151.3 (2)
C1—C11—C18—C1997.14 (12)C13—C12—C17—C160.3 (2)
C2—C1—C9—C8178.37 (13)C13—C14—C15—F1178.26 (14)
C2—C1—C9—C102.1 (2)C13—C14—C15—C160.8 (3)
C2—C1—C11—O384.26 (19)C14—C15—C16—C172.2 (3)
C2—C1—C11—C1243.3 (2)C15—C16—C17—C121.6 (2)
C2—C1—C11—C18168.77 (16)C17—C12—C13—C141.8 (2)
C2—C3—C4—C101.9 (3)C18—C8—C9—C17.86 (16)
C3—C4—C10—C5177.04 (17)C18—C8—C9—C10172.60 (13)
C3—C4—C10—C91.6 (2)C18—C11—C12—C1398.36 (15)
C5—C6—C7—O2174.01 (15)C18—C11—C12—C1778.45 (15)
C5—C6—C7—C83.3 (2)C18—C19—C20—C21177.64 (13)
C6—C5—C10—C4179.75 (16)C18—C19—C24—C23177.47 (13)
C6—C5—C10—C91.2 (2)C19—C20—C21—C220.2 (2)
C6—C7—C8—C90.3 (2)C20—C19—C24—C230.8 (2)
C6—C7—C8—C18175.57 (14)C20—C21—C22—F2179.28 (13)
C7—C8—C9—C1175.85 (13)C20—C21—C22—C231.0 (2)
C7—C8—C9—C103.7 (2)C21—C22—C23—C240.8 (3)
C7—C8—C18—O446.4 (2)C22—C23—C24—C190.1 (2)
C7—C8—C18—C11165.18 (15)C24—C19—C20—C210.7 (2)
C7—C8—C18—C1975.15 (19)C25—O1—C2—C1170.50 (16)
C8—C9—C10—C4176.89 (14)C25—O1—C2—C311.5 (3)
C8—C9—C10—C54.3 (2)C26—O2—C7—C617.1 (2)
C8—C18—C19—C20160.74 (12)C26—O2—C7—C8165.49 (14)
C8—C18—C19—C2420.99 (18)C27—O3—C11—C166.72 (15)
C9—C1—C2—O1176.62 (13)C27—O3—C11—C1264.99 (15)
C9—C1—C2—C31.5 (2)C27—O3—C11—C18174.44 (11)
Hydrogen-bond geometry (Å, º) top
Cg2, Cg5, Cg8 and Cg9 are the centroids of the rings (C1–C4,C9,C10), (C19–C24), (C1–C10) and (C1–C8,C10,C11,C18), respectively.
D—H···AD—HH···AD···AD—H···A
O4—H4···O30.83 (3)2.00 (3)2.5119 (18)119 (3)
C24—H24···Cg90.952.903.4960 (17)122
C20—H20···O4i0.952.493.3554 (17)151
C4—H4A···F1ii0.952.443.189 (3)135
C26—H26C···Cg2iii0.952.703.614 (2)155
C26—H26C···Cg8iii0.952.853.747 (2)153
C26—H26C···Cg9iii0.952.913.848 (2)160
C25—H25B···Cg5iv0.952.813.527 (3)131
Symmetry codes: (i) x, y+1, z+1; (ii) x, y, z+1; (iii) x, y+1, z+2; (iv) x+1, y, z.
 

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