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The first homoleptic oxovanadium(IV)–histidine complex {systematic name: [(S*)-α-amino-4-imidazole­propionato-κ3N,N,O][(S*)-α-amino-3-(1H-imidazol-3-ium-5-yl)propionato-κ2N,O]oxovanadium(IV) perchlorate monohydrate}, [VIVO(C6H8N3O2)(C6H9N3O2)]ClO4·H2O, adopts a distorted octa­hedral structure where one L-histidine ligand coordinates to the vanadium(IV) center in a tridentate fashion as a monoanion and the other in a bidentate fashion leaving a protonated imidazole group as a pendent group.

Supporting information

cif

Crystallographic Information File (CIF) https://doi.org/10.1107/S1600536807010744/is2151sup1.cif
Contains datablocks global, I

hkl

Structure factor file (CIF format) https://doi.org/10.1107/S1600536807010744/is2151Isup2.hkl
Contains datablock I

CCDC reference: 625526

Key indicators

  • Single-crystal X-ray study
  • T = 296 K
  • Mean [sigma](C-C) = 0.003 Å
  • Disorder in solvent or counterion
  • R factor = 0.030
  • wR factor = 0.088
  • Data-to-parameter ratio = 13.3

checkCIF/PLATON results

No syntax errors found



Alert level B PLAT430_ALERT_2_B Short Inter D...A Contact O1 .. O9 .. 2.77 Ang.
Alert level C ABSTM02_ALERT_3_C The ratio of expected to reported Tmax/Tmin(RR') is < 0.90 Tmin and Tmax reported: 0.655 0.752 Tmin(prime) and Tmax expected: 0.745 0.752 RR(prime) = 0.878 Please check that your absorption correction is appropriate. PLAT042_ALERT_1_C Calc. and Rep. MoietyFormula Strings Differ .... ? PLAT061_ALERT_3_C Tmax/Tmin Range Test RR' too Large ............. 0.86 PLAT244_ALERT_4_C Low 'Solvent' Ueq as Compared to Neighbors for Cl1 PLAT244_ALERT_4_C Low 'Solvent' Ueq as Compared to Neighbors for Cl2 PLAT302_ALERT_4_C Anion/Solvent Disorder ......................... 45.00 Perc. PLAT850_ALERT_2_C Check Flack Parameter Exact Value 0.00 and su .. 0.02
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 27.48 From the CIF: _reflns_number_total 4461 Count of symmetry unique reflns 2574 Completeness (_total/calc) 173.31% TEST3: Check Friedels for noncentro structure Estimate of Friedel pairs measured 1887 Fraction of Friedel pairs measured 0.733 Are heavy atom types Z>Si present yes PLAT791_ALERT_1_G Confirm the Absolute Configuration of C2 = . S PLAT791_ALERT_1_G Confirm the Absolute Configuration of C8 = . S
0 ALERT level A = In general: serious problem 1 ALERT level B = Potentially serious problem 7 ALERT level C = Check and explain 3 ALERT level G = General alerts; check 3 ALERT type 1 CIF construction/syntax error, inconsistent or missing data 2 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 0 ALERT type 5 Informative message, check

Computing details top

Data collection: CrystalClear (Rigaku/MSC, 2002); cell refinement: CrystalClear; data reduction: CrystalStructure (Rigaku/MSC, 2006); program(s) used to solve structure: SIR97 (Altomare et al., 1999) and DIRDIF99 (Beurskens et al., 1999); program(s) used to refine structure: CRYSTALS (Betteridge et al., 2003); molecular graphics: ORTEPII (Johnson, 1976); software used to prepare material for publication: CrystalStructure.

(α-amino-4-imidazolepropionato-κ3N,N,O)[α-amino-3-(1H-imidazol-3-ium- 5-yl)propionato-κ2N,O]oxovanadium(IV) perchlorate monohydrate top
Crystal data top
[VO(C6H8N3O2)(C6H9N3O2)]·ClO4·H2OF(000) = 1012.00
Mr = 493.71Dx = 1.688 Mg m3
Orthorhombic, P21212Mo Kα radiation, λ = 0.71070 Å
Hall symbol: P 2 2abCell parameters from 6453 reflections
a = 10.5044 (2) Åθ = 3.1–27.5°
b = 25.4158 (8) ŵ = 0.71 mm1
c = 7.2779 (2) ÅT = 296 K
V = 1943.04 (9) Å3Block, blue
Z = 40.40 × 0.40 × 0.40 mm
Data collection top
Rigaku Mercury
diffractometer
4296 reflections with F2 > 2σ(F2)
Detector resolution: 7.31 pixels mm-1Rint = 0.022
ω scansθmax = 27.5°
Absorption correction: multi-scan
(Jacobson, 1998)
h = 1313
Tmin = 0.655, Tmax = 0.752k = 3320
15642 measured reflectionsl = 99
4461 independent reflections
Refinement top
Refinement on F2 w = 1/[0.001Fo2 + σ(Fo2)]/(4Fo2)
R[F2 > 2σ(F2)] = 0.030(Δ/σ)max < 0.001
wR(F2) = 0.088Δρmax = 0.61 e Å3
S = 1.01Δρmin = 0.49 e Å3
4461 reflectionsAbsolute structure: Flack (1983), 1892 Friedel pairs
336 parametersAbsolute structure parameter: 0.000 (17)
H-atom parameters constrained
Special details top

Experimental. Characteristic IR bands (cm-1) (KBr pellets, JASCO FT/IR-8000S spectrometer): 1636, νas(COO-); 1433, νs(COO-), 1112 and 1083, ν(ClO4-); 977, ν(V=O). Other bands with medium to strong intensities are: 1384(s), 1348(m), 1324(m), 1272(m), 1239(m), 929(m), 835(m), 752(m) and 626(s).

Geometry. ENTER SPECIAL DETAILS OF THE MOLECULAR GEOMETRY

Refinement. Refinement was performed using all reflections. The weighted R-factor (wR) and goodness of fit (S) are based on F2. R-factor (gt) are based on F. The threshold expression of F2 > 2.0 σ(F2) is used only for calculating R-factor (gt).

Fractional atomic coordinates and isotropic or equivalent isotropic displacement parameters (Å2) top
xyzUiso*/UeqOcc. (<1)
V10.15655 (3)0.121510 (10)0.37283 (4)0.02514 (6)
Cl10.51650 (14)0.49154 (4)0.12857 (13)0.0394 (3)0.50
Cl20.0166 (3)0.50474 (15)0.02673 (14)0.0474 (5)0.50
O10.10984 (14)0.06193 (6)0.3815 (2)0.0441 (3)
O20.22482 (13)0.19929 (5)0.2994 (2)0.0335 (3)
O30.18817 (14)0.26796 (6)0.1192 (2)0.0429 (3)
O40.20232 (12)0.14126 (6)0.6284 (2)0.0361 (3)
O50.35001 (14)0.14805 (8)0.8433 (2)0.0467 (4)
O60.54381 (16)0.16735 (7)0.0943 (2)0.0497 (4)
O70.4409 (2)0.44490 (9)0.1022 (4)0.0569 (10)0.50
O80.64816 (17)0.47705 (11)0.1484 (5)0.0827 (15)0.50
O90.4746 (3)0.51849 (12)0.2915 (3)0.0918 (18)0.50
O100.5023 (3)0.52567 (12)0.0278 (3)0.1019 (19)0.50
O110.0756 (4)0.5401 (2)0.0515 (6)0.0801 (17)0.50
O120.0173 (6)0.4934 (2)0.2142 (3)0.100 (2)0.50
O130.1405 (3)0.5289 (2)0.0217 (9)0.145 (3)0.50
O140.0190 (7)0.4566 (2)0.0773 (8)0.184 (5)0.50
N10.12784 (16)0.13009 (7)0.0851 (2)0.0325 (3)
N20.01798 (14)0.15969 (6)0.4076 (2)0.0298 (3)
N30.16415 (18)0.20113 (8)0.5622 (2)0.0460 (4)
N40.35828 (14)0.10760 (7)0.3693 (2)0.0321 (3)
N50.67407 (16)0.09755 (7)0.3085 (2)0.0361 (4)
N60.79392 (19)0.03855 (8)0.4243 (4)0.0552 (6)
C10.17503 (16)0.22077 (7)0.1597 (2)0.0299 (4)
C20.09193 (18)0.18507 (8)0.0423 (2)0.0318 (4)
C30.04886 (18)0.19513 (9)0.0873 (2)0.0381 (5)
C40.08006 (17)0.19303 (7)0.2882 (3)0.0315 (4)
C50.16987 (19)0.21953 (8)0.3853 (3)0.0452 (5)
C60.0722 (2)0.16548 (10)0.5712 (3)0.0393 (5)
C70.31537 (17)0.13436 (8)0.6885 (2)0.0313 (4)
C80.40801 (17)0.10580 (7)0.5600 (2)0.0295 (4)
C90.54316 (17)0.12708 (9)0.5803 (3)0.0373 (4)
C100.64311 (17)0.09431 (8)0.4916 (2)0.0325 (4)
C110.7189 (2)0.05668 (10)0.5640 (4)0.0504 (6)
C120.7652 (2)0.06303 (10)0.2724 (4)0.0502 (6)
H10.19940.12200.02610.039*
H20.06590.10860.04900.039*
H30.21190.21100.65170.055*
H40.37400.07700.31390.039*
H50.39670.13340.30810.039*
H60.63990.11860.23010.044*
H70.85130.01460.43490.067*
H80.10740.19220.08680.039*
H90.07140.22980.04170.046*
H100.09950.16870.02480.046*
H110.22470.24520.34040.055*
H120.04910.14720.67680.048*
H130.40970.06920.59710.036*
H140.54600.16190.52580.045*
H150.56250.12960.71030.045*
H160.71990.04530.68550.060*
H170.80240.05730.15820.060*
H180.59630.18620.03460.060*
H190.49670.15060.01950.060*
Atomic displacement parameters (Å2) top
U11U22U33U12U13U23
V10.02251 (13)0.02744 (14)0.02546 (14)0.00414 (10)0.00094 (11)0.00189 (11)
Cl10.0507 (8)0.0345 (8)0.0329 (3)0.0022 (5)0.0050 (5)0.0010 (4)
Cl20.0616 (18)0.0415 (13)0.0391 (4)0.0041 (10)0.0055 (6)0.0006 (6)
O10.0424 (7)0.0311 (6)0.0590 (9)0.0032 (5)0.0042 (7)0.0029 (7)
O20.0335 (6)0.0331 (6)0.0340 (6)0.0045 (5)0.0092 (5)0.0017 (5)
O30.0374 (7)0.0359 (6)0.0552 (9)0.0061 (5)0.0071 (7)0.0098 (7)
O40.0268 (5)0.0571 (8)0.0245 (5)0.0113 (5)0.0012 (5)0.0019 (6)
O50.0320 (6)0.0788 (11)0.0294 (7)0.0061 (7)0.0001 (6)0.0070 (6)
O60.0512 (9)0.0584 (9)0.0396 (8)0.0122 (7)0.0087 (7)0.0164 (7)
O70.0443 (17)0.057 (2)0.069 (2)0.0059 (15)0.0063 (17)0.0224 (18)
O80.051 (2)0.071 (2)0.126 (4)0.0017 (19)0.027 (2)0.015 (2)
O90.138 (5)0.075 (3)0.062 (2)0.023 (3)0.039 (3)0.037 (2)
O100.133 (4)0.093 (3)0.080 (3)0.048 (3)0.042 (3)0.047 (2)
O110.085 (3)0.109 (4)0.045 (2)0.014 (3)0.003 (2)0.032 (2)
O120.167 (6)0.072 (4)0.062 (2)0.051 (4)0.069 (4)0.031 (3)
O130.125 (5)0.133 (6)0.179 (8)0.047 (5)0.053 (5)0.033 (6)
O140.230 (13)0.132 (7)0.190 (10)0.053 (7)0.107 (9)0.102 (7)
N10.0329 (7)0.0391 (8)0.0254 (7)0.0055 (6)0.0017 (5)0.0088 (5)
N20.0246 (6)0.0356 (7)0.0291 (7)0.0045 (5)0.0001 (5)0.0046 (5)
N30.0324 (8)0.0552 (10)0.0503 (10)0.0099 (8)0.0076 (8)0.0203 (8)
N40.0244 (6)0.0418 (7)0.0301 (7)0.0063 (5)0.0022 (6)0.0036 (6)
N50.0301 (8)0.0388 (8)0.0395 (8)0.0020 (6)0.0058 (7)0.0009 (6)
N60.0302 (8)0.0380 (9)0.0974 (19)0.0112 (7)0.0040 (10)0.0022 (10)
C10.0233 (7)0.0329 (8)0.0336 (9)0.0029 (6)0.0002 (6)0.0002 (6)
C20.0308 (8)0.0427 (9)0.0221 (8)0.0057 (7)0.0032 (7)0.0023 (7)
C30.0267 (8)0.0517 (11)0.0360 (10)0.0047 (8)0.0086 (7)0.0067 (8)
C40.0217 (7)0.0304 (8)0.0424 (10)0.0010 (6)0.0051 (7)0.0015 (7)
C50.0294 (8)0.0360 (9)0.0702 (14)0.0095 (7)0.0027 (11)0.0058 (10)
C60.0298 (8)0.0566 (12)0.0316 (9)0.0032 (9)0.0027 (7)0.0075 (8)
C70.0263 (8)0.0418 (9)0.0259 (8)0.0057 (7)0.0020 (6)0.0033 (7)
C80.0236 (7)0.0354 (8)0.0296 (8)0.0066 (6)0.0006 (6)0.0010 (6)
C90.0255 (8)0.0467 (10)0.0399 (10)0.0060 (8)0.0007 (7)0.0092 (8)
C100.0214 (7)0.0383 (9)0.0379 (9)0.0025 (7)0.0002 (7)0.0008 (7)
C110.0345 (10)0.0522 (12)0.0643 (15)0.0081 (9)0.0037 (10)0.0173 (11)
C120.0350 (10)0.0468 (12)0.0688 (16)0.0010 (9)0.0148 (11)0.0161 (12)
Geometric parameters (Å, º) top
V1—O11.5930 (15)C1—C21.522 (2)
V1—O22.1698 (13)C2—C31.536 (2)
V1—O41.9860 (14)C3—C41.499 (3)
V1—N12.1267 (15)C4—C51.358 (2)
V1—N22.0897 (15)C7—C81.533 (2)
V1—N42.1485 (15)C8—C91.526 (2)
Cl1—O71.440 (2)C9—C101.487 (2)
Cl1—O81.438 (2)C10—C111.351 (3)
Cl1—O91.438 (2)O6—H180.850
Cl1—O101.439 (2)O6—H190.850
Cl2—O111.439 (6)N1—H10.890
Cl2—O121.439 (3)N1—H20.890
Cl2—O131.439 (5)N3—H30.860
Cl2—O141.439 (6)N4—H40.890
O2—C11.267 (2)N4—H50.890
O3—C11.243 (2)N5—H60.860
O4—C71.278 (2)N6—H70.860
O5—C71.234 (2)C2—H80.970
N1—C21.481 (2)C3—H90.970
N2—C41.378 (2)C3—H100.970
N2—C61.328 (2)C5—H110.930
N3—C51.371 (3)C6—H120.930
N3—C61.326 (3)C8—H130.970
N4—C81.484 (2)C9—H140.970
N5—C101.374 (2)C9—H150.970
N5—C121.325 (2)C11—H160.930
N6—C111.367 (3)C12—H170.930
N6—C121.304 (3)
O1···O9i2.769 (3)N1···O5viii2.958 (2)
O1···O10ii2.977 (3)N1···O7v3.058 (3)
O1···N6iii2.764 (2)N1···O10ii3.014 (3)
O2···N3iv2.963 (2)N3···O2xi2.963 (2)
O3···O6v2.723 (2)N3···O3xi2.899 (2)
O3···N3iv2.899 (2)N4···O63.180 (2)
O5···O6vi2.779 (2)N4···O12vii3.094 (7)
O5···N1vi2.958 (2)N5···O62.730 (2)
O6···O3vii2.723 (2)N5···O11ii3.173 (5)
O6···O5viii2.779 (2)N5···O12vii3.139 (7)
O6···N43.180 (2)N5···O12ii3.192 (7)
O6···N52.730 (2)N6···O1iii2.764 (2)
O7···Cl11.440 (2)N6···O9iv3.160 (3)
O7···N1vii3.058 (3)O1···H7iii2.025
O8···Cl11.438 (2)O3···H3iv2.042
O8···O13ix2.546 (5)O3···H18v1.882
O9···Cl11.438 (2)O5···H1vi2.171
O9···O1x2.769 (3)O5···H19vi2.005
O9···N6xi3.160 (3)O6···H52.357
O10···Cl11.439 (2)O6···H61.880
O10···O1xii2.977 (3)O7···H2vii2.187
O10···N1xii3.014 (3)O7···H17v2.389
O11···Cl21.439 (6)O10···H2xii2.230
O11···O122.350 (7)O10···H17xiii2.398
O11···N5xii3.173 (5)O12···H4v2.244
O11···C12xii3.141 (5)H1···O5viii2.171
O12···O112.350 (7)H2···O7v2.187
O12···O132.350 (7)H2···O10ii2.230
O12···O142.350 (7)H3···O3xi2.042
O12···N4v3.094 (7)H4···O12vii2.244
O12···N5v3.139 (7)H5···O62.357
O12···N5xii3.192 (7)H6···O61.880
O12···C12xii3.177 (7)H7···O1iii2.025
O13···Cl21.439 (5)H17···O7vii2.389
O13···O8ix2.546 (5)H17···O10xiv2.398
O13···O122.350 (7)H18···O3vii1.882
O14···Cl21.439 (6)H19···O5viii2.005
O14···O122.350 (7)
O1—V1—O2167.84 (7)O5—C7—C8120.23 (16)
O1—V1—O4106.13 (8)N4—C8—C7109.44 (14)
O1—V1—N195.32 (8)N4—C8—C9114.00 (15)
O1—V1—N299.58 (6)C7—C8—C9111.34 (15)
O1—V1—N498.50 (7)C8—C9—C10114.60 (17)
O2—V1—O485.44 (5)N5—C10—C9123.66 (17)
O2—V1—N173.19 (6)N5—C10—C11106.33 (19)
O2—V1—N284.07 (5)C9—C10—C11130.0 (2)
O2—V1—N479.69 (6)N6—C11—C10106.7 (2)
O4—V1—N1158.55 (6)N5—C12—N6108.3 (2)
O4—V1—N288.94 (5)H18—O6—H19109.5
O4—V1—N479.29 (5)V1—N1—H1109.4
N1—V1—N286.98 (6)V1—N1—H2109.4
N1—V1—N498.33 (6)C2—N1—H1109.4
N2—V1—N4160.59 (6)C2—N1—H2109.4
O7—Cl1—O8109.46 (16)H1—N1—H2109.5
O7—Cl1—O9109.47 (19)C5—N3—H3125.9
O7—Cl1—O10109.47 (19)C6—N3—H3125.9
O8—Cl1—O9109.5 (2)V1—N4—H4109.4
O8—Cl1—O10109.5 (2)V1—N4—H5109.4
O9—Cl1—O10109.48 (18)C8—N4—H4109.4
O11—Cl2—O12109.5 (3)C8—N4—H5109.4
O11—Cl2—O13109.5 (4)H4—N4—H5109.5
O11—Cl2—O14109.5 (3)C10—N5—H6125.5
O12—Cl2—O13109.5 (3)C12—N5—H6125.6
O12—Cl2—O14109.5 (4)C11—N6—H7125.2
O13—Cl2—O14109.5 (4)C12—N6—H7125.2
V1—O2—C1116.99 (11)N1—C2—H8109.7
V1—O4—C7120.72 (12)C1—C2—H8109.7
V1—N1—C2109.90 (11)C3—C2—H8109.7
V1—N2—C4128.63 (12)C2—C3—H9108.2
V1—N2—C6122.44 (13)C2—C3—H10108.2
C4—N2—C6107.12 (16)C4—C3—H9108.2
C5—N3—C6108.17 (18)C4—C3—H10108.2
V1—N4—C8109.94 (11)H9—C3—H10109.5
C10—N5—C12108.89 (19)N3—C5—H11126.6
C11—N6—C12109.7 (2)C4—C5—H11126.6
O2—C1—O3124.11 (17)N2—C6—H12125.0
O2—C1—C2115.51 (15)N3—C6—H12125.0
O3—C1—C2120.36 (17)N4—C8—H13107.2
N1—C2—C1107.35 (14)C7—C8—H13107.2
N1—C2—C3110.94 (16)C9—C8—H13107.3
C1—C2—C3109.45 (15)C8—C9—H14108.2
C2—C3—C4114.37 (16)C8—C9—H15108.2
N2—C4—C3122.25 (16)C10—C9—H14108.2
N2—C4—C5107.79 (19)C10—C9—H15108.2
C3—C4—C5129.93 (19)H14—C9—H15109.5
N3—C5—C4106.80 (18)N6—C11—H16126.6
N2—C6—N3110.09 (19)C10—C11—H16126.6
O4—C7—O5123.22 (17)N5—C12—H17125.8
O4—C7—C8116.51 (16)N6—C12—H17125.8
O1—V1—O2—C146.4 (3)V1—N2—C4—C318.5 (2)
O1—V1—O4—C790.03 (15)V1—N2—C4—C5163.27 (13)
O1—V1—N1—C2148.17 (12)V1—N2—C6—N3165.12 (13)
O1—V1—N2—C4117.85 (16)C4—N2—C6—N30.8 (2)
O1—V1—N2—C679.51 (17)C6—N2—C4—C3176.77 (18)
O1—V1—N4—C889.49 (13)C6—N2—C4—C51.5 (2)
O2—V1—O4—C786.17 (15)C5—N3—C6—N20.2 (2)
O4—V1—O2—C1151.24 (13)C6—N3—C5—C41.1 (2)
O2—V1—N1—C235.90 (11)V1—N4—C8—C721.46 (17)
N1—V1—O2—C126.79 (12)V1—N4—C8—C9146.87 (13)
O2—V1—N2—C450.45 (15)C10—N5—C12—N60.6 (2)
O2—V1—N2—C6112.20 (16)C12—N5—C10—C9179.37 (19)
N2—V1—O2—C161.83 (13)C12—N5—C10—C110.03 (17)
O2—V1—N4—C8102.70 (12)C11—N6—C12—N50.9 (2)
N4—V1—O2—C1128.84 (13)C12—N6—C11—C100.8 (2)
O4—V1—N1—C230.5 (2)O2—C1—C2—N120.0 (2)
N1—V1—O4—C791.3 (2)O2—C1—C2—C3100.47 (19)
O4—V1—N2—C4135.97 (15)O3—C1—C2—N1161.67 (16)
O4—V1—N2—C626.67 (16)O3—C1—C2—C377.8 (2)
N2—V1—O4—C7170.31 (15)N1—C2—C3—C467.1 (2)
O4—V1—N4—C815.44 (11)C1—C2—C3—C451.2 (2)
N4—V1—O4—C75.82 (15)C2—C3—C4—N233.4 (2)
N1—V1—N2—C422.96 (15)C2—C3—C4—C5148.9 (2)
N1—V1—N2—C6174.40 (17)N2—C4—C5—N31.6 (2)
N2—V1—N1—C248.82 (12)C3—C4—C5—N3176.47 (19)
N1—V1—N4—C8173.81 (12)O4—C7—C8—N418.5 (2)
N4—V1—N1—C2112.41 (12)O4—C7—C8—C9145.46 (18)
N2—V1—N4—C869.0 (2)O5—C7—C8—N4163.60 (18)
N4—V1—N2—C483.7 (2)O5—C7—C8—C936.7 (2)
N4—V1—N2—C678.9 (2)N4—C8—C9—C1068.1 (2)
V1—O2—C1—O3167.36 (14)C7—C8—C9—C10167.46 (16)
V1—O2—C1—C210.88 (19)C8—C9—C10—N583.7 (2)
V1—O4—C7—O5176.75 (16)C8—C9—C10—C1195.5 (2)
V1—O4—C7—C85.4 (2)N5—C10—C11—N60.5 (2)
V1—N1—C2—C141.25 (16)C9—C10—C11—N6179.8 (2)
V1—N1—C2—C378.29 (16)
Symmetry codes: (i) x+1/2, y1/2, z+1; (ii) x+1/2, y1/2, z; (iii) x+1, y, z; (iv) x+1/2, y+1/2, z+1; (v) x1/2, y+1/2, z; (vi) x, y, z+1; (vii) x+1/2, y+1/2, z; (viii) x, y, z1; (ix) x+1, y+1, z; (x) x+1/2, y+1/2, z+1; (xi) x1/2, y+1/2, z+1; (xii) x+1/2, y+1/2, z; (xiii) x+3/2, y+1/2, z; (xiv) x+3/2, y1/2, z.
 

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