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In the title compound, Na3[Ni(C3H2O4)2]Cl·6H2O, two crystallographically independent Ni atoms lie on centres of symmetry, each coordinated by four O atoms from two malonate ligands and by two water mol­ecules in a distorted octa­hedral geometry. The Ni—O bond lengths are in the range 1.994 (18)–2.137 (2) Å. The three Na+ ions are coordinated by seven O atoms, six O atoms, and five O and one Cl atom. The crystal packing is stabilized by the three-dimensional hydrogen-bonding network formed by O—H...O and O—H...Cl hydrogen bonds.

Supporting information

cif

Crystallographic Information File (CIF) https://doi.org/10.1107/S1600536806044473/cv2138sup1.cif
Contains datablocks global, I

hkl

Structure factor file (CIF format) https://doi.org/10.1107/S1600536806044473/cv2138Isup2.hkl
Contains datablock I

CCDC reference: 627477

Key indicators

  • Single-crystal X-ray study
  • T = 295 K
  • Mean [sigma](C-C) = 0.003 Å
  • R factor = 0.027
  • wR factor = 0.075
  • Data-to-parameter ratio = 16.4

checkCIF/PLATON results

No syntax errors found



Alert level B PLAT420_ALERT_2_B D-H Without Acceptor O6 - H8 ... ?
Alert level C PLAT029_ALERT_3_C _diffrn_measured_fraction_theta_full Low ....... 0.98 PLAT042_ALERT_1_C Calc. and Rep. MoietyFormula Strings Differ .... ? PLAT062_ALERT_4_C Rescale T(min) & T(max) by ..................... 0.97 PLAT764_ALERT_4_C Overcomplete CIF Bond List Detected (Rep/Expd) . 1.33 Ratio
0 ALERT level A = In general: serious problem 1 ALERT level B = Potentially serious problem 4 ALERT level C = Check and explain 0 ALERT level G = General alerts; check 1 ALERT type 1 CIF construction/syntax error, inconsistent or missing data 1 ALERT type 2 Indicator that the structure model may be wrong or deficient 1 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: RAPID-AUTO (Rigaku, 1998); cell refinement: RAPID-AUTO; data reduction: CrystalStructure (Rigaku/MSC, 2002); program(s) used to solve structure: SHELXS97 (Sheldrick, 1997); program(s) used to refine structure: SHELXL97 (Sheldrick, 1997); molecular graphics: PLATON (Spek, 2003); software used to prepare material for publication: SHELXL97.

Trisodium diaquabis(malonato-κ2O,O')nickel(II) chloride hexahydrate top
Crystal data top
Na3[Ni(C3H2O4)2]Cl·6H2OZ = 2
Mr = 511.35F(000) = 524
Triclinic, P1Dx = 1.833 Mg m3
Hall symbol: -P 1Mo Kα radiation, λ = 0.71073 Å
a = 7.053 (3) ÅCell parameters from 8146 reflections
b = 9.615 (5) Åθ = 6.2–55.0°
c = 14.624 (10) ŵ = 1.34 mm1
α = 93.51 (3)°T = 295 K
β = 92.75 (3)°Block, green
γ = 110.19 (2)°0.37 × 0.32 × 0.29 mm
V = 926.5 (9) Å3
Data collection top
Rigaku R-AXIS RAPID
diffractometer
4156 independent reflections
Radiation source: fine-focus sealed tube3809 reflections with I > 2σ(I)
Graphite monochromatorRint = 0.022
ω scansθmax = 27.5°, θmin = 3.1°
Absorption correction: multi-scan
(ABSCOR; Higashi, 1995)
h = 99
Tmin = 0.641, Tmax = 0.699k = 1212
8824 measured reflectionsl = 1818
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)] = 0.028H-atom parameters constrained
wR(F2) = 0.075 w = 1/[σ2(Fo2) + (0.0119P)2 + 0.8306P]
where P = (Fo2 + 2Fc2)/3
S = 1.33(Δ/σ)max = 0.001
4156 reflectionsΔρmax = 0.43 e Å3
254 parametersΔρmin = 0.30 e Å3
24 restraintsExtinction correction: SHELXL97, Fc*=kFc[1+0.001xFc2λ3/sin(2θ)]-1/4
Primary atom site location: structure-invariant direct methodsExtinction coefficient: 0.066 (2)
Special details top

Experimental. (See detailed section in the paper)

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
C10.1299 (3)0.0182 (2)0.09312 (14)0.0178 (4)
C20.0809 (3)0.1416 (2)0.13133 (16)0.0239 (5)
H20.06360.18290.14800.029*
H10.14860.13960.18770.029*
C30.1343 (3)0.2488 (2)0.07206 (14)0.0171 (4)
C40.1446 (3)0.8353 (2)0.37295 (14)0.0191 (4)
C50.1417 (4)0.9871 (3)0.34957 (16)0.0254 (5)
H40.23861.02280.30390.030*
H30.00870.97260.32080.030*
C60.1875 (3)1.1095 (2)0.42688 (15)0.0190 (4)
Cl10.40135 (10)0.31714 (7)0.26328 (4)0.03348 (15)
Na10.25998 (13)0.52820 (10)0.01397 (6)0.0247 (2)
Na20.01124 (15)0.53553 (11)0.22191 (6)0.0292 (2)
Na30.43181 (15)0.63680 (10)0.43278 (7)0.0293 (2)
Ni10.50000.00000.00000.01633 (11)
Ni20.50001.00000.50000.01679 (11)
O10.0028 (2)0.07761 (18)0.11152 (13)0.0310 (4)
O20.2974 (2)0.08777 (17)0.04910 (11)0.0219 (3)
O30.2895 (2)0.20289 (16)0.01606 (11)0.0220 (3)
O40.0247 (2)0.38199 (16)0.08347 (11)0.0234 (3)
O50.6013 (2)0.01393 (19)0.13266 (11)0.0255 (3)
H50.72890.00700.12730.038*
H60.55070.09610.16510.038*
O60.1934 (3)0.37001 (19)0.12860 (12)0.0316 (4)
H80.30510.37380.14890.047*
H70.12920.28020.11910.047*
O70.4204 (2)0.36209 (18)0.05954 (12)0.0278 (4)
H100.46310.34740.11180.042*
H90.36710.27870.02850.042*
O80.3292 (3)0.6798 (2)0.16333 (12)0.0374 (4)
H110.42520.70360.20490.056*
H120.34350.75570.13410.056*
O90.2227 (3)0.4355 (2)0.31759 (13)0.0357 (4)
H140.31670.41470.29270.054*
H130.16670.36620.35140.054*
O100.7062 (3)0.5291 (2)0.45710 (14)0.0454 (5)
H160.80940.60700.46830.068*
H150.71650.48740.40590.068*
O110.6262 (3)0.7585 (2)0.30692 (12)0.0331 (4)
H180.64600.84780.32630.050*
H170.73920.74580.31270.050*
O120.2919 (2)0.82908 (17)0.42269 (11)0.0230 (3)
O130.0040 (2)0.72321 (18)0.33774 (12)0.0277 (4)
O140.0748 (2)1.18546 (19)0.43087 (13)0.0312 (4)
O150.3426 (2)1.13638 (17)0.48094 (11)0.0234 (3)
O160.6704 (2)1.06760 (19)0.38339 (11)0.0252 (3)
H190.64001.13300.35550.038*
H200.79601.10510.40030.038*
Atomic displacement parameters (Å2) top
U11U22U33U12U13U23
C10.0154 (9)0.0162 (10)0.0214 (10)0.0046 (8)0.0013 (7)0.0044 (8)
C20.0246 (11)0.0165 (11)0.0280 (11)0.0060 (9)0.0097 (9)0.0015 (8)
C30.0150 (9)0.0146 (10)0.0222 (10)0.0057 (8)0.0033 (7)0.0002 (8)
C40.0169 (9)0.0215 (11)0.0187 (10)0.0072 (8)0.0006 (7)0.0027 (8)
C50.0271 (11)0.0221 (12)0.0248 (11)0.0075 (10)0.0084 (9)0.0002 (9)
C60.0154 (9)0.0166 (10)0.0241 (10)0.0039 (8)0.0000 (8)0.0052 (8)
Cl10.0413 (3)0.0313 (3)0.0273 (3)0.0122 (3)0.0018 (2)0.0020 (2)
Na10.0216 (4)0.0247 (5)0.0282 (5)0.0082 (4)0.0014 (3)0.0047 (4)
Na20.0369 (5)0.0248 (5)0.0247 (5)0.0107 (4)0.0027 (4)0.0023 (4)
Na30.0331 (5)0.0210 (5)0.0328 (5)0.0088 (4)0.0016 (4)0.0015 (4)
Ni10.01339 (18)0.01281 (19)0.0217 (2)0.00382 (14)0.00293 (13)0.00105 (14)
Ni20.01376 (18)0.0153 (2)0.0209 (2)0.00555 (15)0.00365 (13)0.00086 (14)
O10.0184 (8)0.0201 (9)0.0551 (11)0.0086 (7)0.0065 (7)0.0044 (7)
O20.0183 (7)0.0148 (7)0.0314 (8)0.0056 (6)0.0055 (6)0.0002 (6)
O30.0192 (7)0.0145 (7)0.0300 (8)0.0037 (6)0.0057 (6)0.0032 (6)
O40.0215 (7)0.0123 (7)0.0319 (9)0.0007 (6)0.0012 (6)0.0014 (6)
O50.0190 (7)0.0297 (9)0.0259 (8)0.0069 (7)0.0006 (6)0.0014 (7)
O60.0380 (10)0.0236 (9)0.0335 (9)0.0120 (8)0.0014 (7)0.0012 (7)
O70.0297 (9)0.0221 (8)0.0331 (9)0.0113 (7)0.0015 (7)0.0028 (7)
O80.0461 (11)0.0260 (10)0.0315 (10)0.0025 (8)0.0076 (8)0.0060 (7)
O90.0396 (10)0.0317 (10)0.0364 (10)0.0129 (8)0.0017 (8)0.0047 (8)
O100.0496 (12)0.0456 (12)0.0413 (11)0.0139 (10)0.0135 (9)0.0134 (9)
O110.0265 (9)0.0360 (10)0.0345 (9)0.0100 (8)0.0045 (7)0.0045 (8)
O120.0193 (7)0.0182 (8)0.0300 (8)0.0067 (6)0.0067 (6)0.0025 (6)
O130.0229 (8)0.0240 (9)0.0322 (9)0.0063 (7)0.0077 (7)0.0088 (7)
O140.0219 (8)0.0253 (9)0.0485 (11)0.0128 (7)0.0060 (7)0.0007 (8)
O150.0218 (8)0.0201 (8)0.0288 (8)0.0102 (7)0.0080 (6)0.0035 (6)
O160.0189 (7)0.0282 (9)0.0283 (8)0.0076 (7)0.0001 (6)0.0064 (7)
Geometric parameters (Å, º) top
C1—O11.245 (3)Na3—O112.457 (2)
C1—O21.259 (3)Na3—O92.480 (2)
C1—C21.517 (3)Na3—O102.512 (2)
C2—C31.518 (3)Na3—Na3iii3.730 (2)
C2—H20.9700Ni1—O31.9942 (17)
C2—H10.9700Ni1—O3v1.9942 (17)
C3—O41.242 (3)Ni1—O2v2.0195 (16)
C3—O31.265 (3)Ni1—O22.0195 (16)
C3—Na1i2.916 (3)Ni1—O5v2.112 (2)
C4—O131.247 (3)Ni1—O52.112 (2)
C4—O121.260 (3)Ni2—O152.0122 (16)
C4—C51.526 (3)Ni2—O15iv2.0122 (16)
C5—C61.519 (3)Ni2—O122.0202 (18)
C5—H40.9700Ni2—O12iv2.0202 (18)
C5—H30.9700Ni2—O162.137 (2)
C6—O141.252 (3)Ni2—O16iv2.137 (2)
C6—O151.259 (3)Ni2—Na3iv3.430 (2)
Na1—O42.338 (2)O3—Na1i2.588 (2)
Na1—O72.362 (2)O4—Na1i2.538 (2)
Na1—O62.430 (2)O5—H50.8502
Na1—O7ii2.466 (2)O5—H60.8487
Na1—O82.480 (2)O6—Na2i2.374 (2)
Na1—O4i2.538 (2)O6—H80.8453
Na1—O3i2.588 (2)O6—H70.8493
Na1—C3i2.916 (3)O7—Na1ii2.466 (2)
Na1—Na1i3.517 (2)O7—H100.8456
Na1—Na1ii3.647 (2)O7—H90.8462
Na1—Na2i3.773 (3)O8—H110.8472
Na1—H122.5992O8—H120.8470
Na2—O6i2.374 (2)O9—H140.8473
Na2—O42.381 (2)O9—H130.8495
Na2—O132.414 (2)O10—Na3iii2.341 (2)
Na2—O82.423 (2)O10—H160.8457
Na2—O92.462 (2)O10—H150.8453
Na2—Cl13.0579 (17)O11—H180.8494
Na2—Na1i3.773 (3)O11—H170.8480
Na3—O10iii2.341 (2)O15—Na3iv2.440 (2)
Na3—O122.386 (2)O16—H190.85
Na3—O15iv2.440 (2)O16—H200.85
O1—C1—O2122.6 (2)O10iii—Na3—O12114.05 (8)
O1—C1—C2117.01 (19)O10iii—Na3—O15iv105.68 (9)
O2—C1—C2120.28 (18)O12—Na3—O15iv70.42 (7)
C1—C2—C3119.03 (18)O10iii—Na3—O11163.19 (8)
C1—C2—H2107.6O12—Na3—O1182.67 (7)
C3—C2—H2107.6O15iv—Na3—O1180.88 (8)
C1—C2—H1107.6O10iii—Na3—O985.95 (9)
C3—C2—H1107.6O12—Na3—O9104.78 (7)
H2—C2—H1107.0O15iv—Na3—O9168.36 (7)
O4—C3—O3122.3 (2)O11—Na3—O988.04 (8)
O4—C3—C2117.43 (19)O10iii—Na3—O1079.59 (8)
O3—C3—C2120.26 (18)O12—Na3—O10156.23 (8)
O4—C3—Na1i60.18 (12)O15iv—Na3—O1087.48 (8)
O3—C3—Na1i62.53 (11)O11—Na3—O1085.34 (7)
C2—C3—Na1i170.47 (14)O9—Na3—O1095.22 (8)
O13—C4—O12123.5 (2)O10iii—Na3—Na3iii41.48 (6)
O13—C4—C5117.47 (19)O12—Na3—Na3iii150.69 (7)
O12—C4—C5118.92 (19)O15iv—Na3—Na3iii98.05 (7)
C6—C5—C4118.35 (19)O11—Na3—Na3iii123.10 (7)
C6—C5—H4107.7O9—Na3—Na3iii90.97 (7)
C4—C5—H4107.7O10—Na3—Na3iii38.11 (5)
C6—C5—H3107.7O3—Ni1—O3v180.00 (8)
C4—C5—H3107.7O3—Ni1—O2v89.63 (7)
H4—C5—H3107.1O3v—Ni1—O2v90.37 (7)
O14—C6—O15122.6 (2)O3—Ni1—O290.37 (7)
O14—C6—C5118.15 (19)O3v—Ni1—O289.63 (7)
O15—C6—C5119.13 (19)O2v—Ni1—O2180.00 (7)
O4—Na1—O787.32 (7)O3—Ni1—O5v85.98 (7)
O4—Na1—O695.88 (8)O3v—Ni1—O5v94.02 (7)
O7—Na1—O681.69 (7)O2v—Ni1—O5v90.39 (7)
O4—Na1—O7ii168.56 (7)O2—Ni1—O5v89.61 (7)
O7—Na1—O7ii81.93 (7)O3—Ni1—O594.02 (7)
O6—Na1—O7ii78.76 (7)O3v—Ni1—O585.98 (7)
O4—Na1—O882.85 (7)O2v—Ni1—O589.61 (7)
O7—Na1—O895.89 (8)O2—Ni1—O590.39 (7)
O6—Na1—O8177.33 (7)O5v—Ni1—O5180.00 (8)
O7ii—Na1—O8102.07 (8)O15—Ni2—O15iv180.00 (9)
O4—Na1—O4i87.78 (7)O15—Ni2—O1292.73 (7)
O7—Na1—O4i156.58 (7)O15iv—Ni2—O1287.27 (7)
O6—Na1—O4i76.06 (7)O15—Ni2—O12iv87.27 (7)
O7ii—Na1—O4i100.56 (7)O15iv—Ni2—O12iv92.73 (7)
O8—Na1—O4i106.19 (7)O12—Ni2—O12iv180.0
O4—Na1—O3i118.19 (7)O15—Ni2—O1693.04 (7)
O7—Na1—O3i148.50 (7)O15iv—Ni2—O1686.96 (7)
O6—Na1—O3i111.32 (7)O12—Ni2—O1691.00 (8)
O7ii—Na1—O3i73.25 (6)O12iv—Ni2—O1689.00 (8)
O8—Na1—O3i71.35 (7)O15—Ni2—O16iv86.96 (7)
O4i—Na1—O3i50.70 (5)O15iv—Ni2—O16iv93.04 (7)
O4—Na1—C3i105.12 (7)O12—Ni2—O16iv89.00 (8)
O7—Na1—C3i166.79 (7)O12iv—Ni2—O16iv91.00 (8)
O6—Na1—C3i92.43 (8)O16—Ni2—O16iv180.000 (1)
O7ii—Na1—C3i85.34 (7)O15—Ni2—Na3iv44.41 (5)
O8—Na1—C3i90.18 (8)O15iv—Ni2—Na3iv135.59 (5)
O4i—Na1—C3i25.13 (5)O12—Ni2—Na3iv137.13 (5)
O3i—Na1—C3i25.69 (5)O12iv—Ni2—Na3iv42.87 (5)
O4—Na1—Na1i46.15 (5)O16—Ni2—Na3iv90.59 (6)
O7—Na1—Na1i129.14 (7)O16iv—Ni2—Na3iv89.41 (6)
O6—Na1—Na1i83.93 (6)C1—O2—Ni1126.69 (14)
O7ii—Na1—Na1i141.61 (7)C3—O3—Ni1127.65 (14)
O8—Na1—Na1i96.81 (6)C3—O3—Na1i91.78 (12)
O4i—Na1—Na1i41.62 (4)Ni1—O3—Na1i137.89 (8)
O3i—Na1—Na1i81.77 (5)C3—O4—Na1133.73 (14)
C3i—Na1—Na1i61.31 (5)C3—O4—Na2124.32 (14)
O4—Na1—Na1ii129.23 (7)Na1—O4—Na299.14 (7)
O7—Na1—Na1ii42.03 (5)C3—O4—Na1i94.69 (13)
O6—Na1—Na1ii76.97 (6)Na1—O4—Na1i92.22 (7)
O7ii—Na1—Na1ii39.90 (5)Na2—O4—Na1i100.12 (7)
O8—Na1—Na1ii101.99 (7)Ni1—O5—H5108.2
O4i—Na1—Na1ii135.93 (6)Ni1—O5—H6117.8
O3i—Na1—Na1ii110.95 (6)H5—O5—H6107.3
C3i—Na1—Na1ii125.15 (6)Na2i—O6—Na1103.48 (8)
Na1i—Na1—Na1ii159.88 (6)Na2i—O6—H8115.9
O4—Na1—Na2i94.25 (6)Na1—O6—H8108.8
O7—Na1—Na2i119.32 (6)Na2i—O6—H7110.6
O6—Na1—Na2i37.74 (5)Na1—O6—H7110.4
O7ii—Na1—Na2i87.66 (6)H8—O6—H7107.6
O8—Na1—Na2i144.58 (6)Na1—O7—Na1ii98.07 (7)
O4i—Na1—Na2i38.41 (4)Na1—O7—H10131.6
O3i—Na1—Na2i79.33 (5)Na1ii—O7—H10101.5
C3i—Na1—Na2i56.36 (5)Na1—O7—H9110.1
Na1i—Na1—Na2i58.92 (4)Na1ii—O7—H9102.1
Na1ii—Na1—Na2i106.83 (5)H10—O7—H9108.3
O4—Na1—H1294.9Na2—O8—Na194.20 (8)
O7—Na1—H12111.2Na2—O8—H11111.0
O6—Na1—H12163.6Na1—O8—H11133.4
O7ii—Na1—H1292.7Na2—O8—H12123.0
O8—Na1—H1219.0Na1—O8—H1288.5
O4i—Na1—H1292.0H11—O8—H12107.4
O3i—Na1—H1252.4Na2—O9—Na3108.16 (8)
C3i—Na1—H1272.8Na2—O9—H14117.8
Na1i—Na1—H1294.7Na3—O9—H1499.0
Na1ii—Na1—H12105.4Na2—O9—H13119.6
Na2i—Na1—H12129.0Na3—O9—H13101.8
O6i—Na2—O480.17 (7)H14—O9—H13107.3
O6i—Na2—O1385.13 (8)Na3iii—O10—Na3100.41 (8)
O4—Na2—O13165.19 (7)Na3iii—O10—H16123.6
O6i—Na2—O895.66 (8)Na3—O10—H16101.3
O4—Na2—O883.20 (7)Na3iii—O10—H15114.0
O13—Na2—O896.56 (8)Na3—O10—H15106.8
O6i—Na2—O9179.46 (7)H16—O10—H15108.3
O4—Na2—O999.30 (8)Na3—O11—H1897.7
O13—Na2—O995.41 (8)Na3—O11—H17106.1
O8—Na2—O984.39 (8)H18—O11—H17107.3
O6i—Na2—Cl182.28 (7)C4—O12—Ni2126.47 (14)
O4—Na2—Cl186.33 (6)C4—O12—Na3130.88 (14)
O13—Na2—Cl193.51 (6)Ni2—O12—Na3101.94 (7)
O8—Na2—Cl1169.52 (6)C4—O13—Na2129.62 (14)
O9—Na2—Cl197.58 (7)C6—O15—Ni2126.16 (14)
O6i—Na2—Na1i38.78 (5)C6—O15—Na3iv132.69 (14)
O4—Na2—Na1i41.47 (5)Ni2—O15—Na3iv100.35 (7)
O13—Na2—Na1i123.90 (6)Ni2—O16—H19113
O8—Na2—Na1i91.51 (7)Ni2—O16—H20109.7
O9—Na2—Na1i140.68 (6)H19—O16—H20107.3
Cl1—Na2—Na1i80.43 (5)
Symmetry codes: (i) x, y+1, z; (ii) x+1, y+1, z; (iii) x+1, y+1, z+1; (iv) x+1, y+2, z+1; (v) x1, y, z.
Hydrogen-bond geometry (Å, º) top
D—H···AD—HH···AD···AD—H···A
O6—H7···O1vi0.851.852.699 (3)173
O7—H10···Cl1vii0.852.443.289 (3)177
O7—H9···O2vi0.852.002.830 (3)169
O8—H11···O110.851.922.768 (3)175
O8—H12···O3i0.852.292.957 (3)136
O8—H12···O5viii0.852.383.142 (3)150
O9—H14···Cl1vii0.852.523.336 (2)163
O9—H13···O14ix0.852.082.922 (3)170
O10—H16···O14iv0.852.292.980 (3)140
O10—H16···O13vii0.852.502.998 (3)119
O10—H15···Cl1vii0.852.493.283 (3)157
O11—H18···O160.852.173.017 (3)174
O11—H17···O13vii0.851.972.819 (3)175
O16—H19···Cl1viii0.852.383.220 (2)171
O16—H20···O14vii0.851.872.717 (3)177
Symmetry codes: (i) x, y+1, z; (iv) x+1, y+2, z+1; (vi) x, y, z; (vii) x+1, y, z; (viii) x+1, y+1, z; (ix) x, y1, z.
 

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