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The crystal structure of monoclinic tripotassium indium(III) hexa­chloride, K3[InCl6], obtained by the solvent evaporation method, has been determined from single-crystal X-ray diffraction data. The crystal structure is characterized by isolated [InCl6] octa­hedra located in the centre of the cell and at the centre of each of the edges of the cell, linked with K+ cations to form a three-dimensional structure.

Supporting information

cif

Crystallographic Information File (CIF) https://doi.org/10.1107/S1600536806020976/br2009sup1.cif
Contains datablocks I, global

hkl

Structure factor file (CIF format) https://doi.org/10.1107/S1600536806020976/br2009Isup2.hkl
Contains datablock I

Key indicators

  • Single-crystal X-ray study
  • T = 295 K
  • Mean [sigma](n-Cl)= 0.001 Å
  • R factor = 0.031
  • wR factor = 0.093
  • Data-to-parameter ratio = 27.1

checkCIF/PLATON results

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Computing details top

Data collection: SMART (Bruker, 2001); cell refinement: SAINT (Bruker, 2001); data reduction: SAINT; program(s) used to solve structure: SHELXS97 (Sheldrick, 1997); program(s) used to refine structure: SHELXL97 (Sheldrick, 1997); molecular graphics: DIAMOND (Brandenburg, 2004); software used to prepare material for publication: SHELXL97.

tripotassium indium(III) hexachloride top
Crystal data top
K3(InCl6)F(000) = 832
Mr = 444.82Dx = 2.671 Mg m3
Monoclinic, P21/cMo Kα radiation, λ = 0.71073 Å
Hall symbol: -P 2ybcCell parameters from 6419 reflections
a = 12.188 (3) Åθ = 0.8–29.4°
b = 7.5530 (17) ŵ = 4.65 mm1
c = 12.703 (3) ÅT = 295 K
β = 108.957 (4)°Plate, colourless
V = 1106.0 (5) Å30.50 × 0.28 × 0.09 mm
Z = 4
Data collection top
Bruker SMART CCD area-detector
diffractometer
2548 independent reflections
Radiation source: fine-focus sealed tube2341 reflections with I > 2σ(I)
Graphite monochromatorRint = 0.023
ω scansθmax = 28.0°, θmin = 1.8°
Absorption correction: multi-scan
(SADABS; Sheldrick, 1996)
h = 1614
Tmin = 0.199, Tmax = 0.659k = 89
6419 measured reflectionsl = 1513
Refinement top
Refinement on F20 restraints
Least-squares matrix: fullPrimary atom site location: structure-invariant direct methods
R[F2 > 2σ(F2)] = 0.031Secondary atom site location: difference Fourier map
wR(F2) = 0.093 w = 1/[σ2(Fo2) + (0.0527P)2 + 0.923P]
where P = (Fo2 + 2Fc2)/3
S = 1.12(Δ/σ)max < 0.001
2548 reflectionsΔρmax = 0.92 e Å3
94 parametersΔρmin = 1.20 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
In10.50000.50000.50000.01989 (12)
In20.00000.00000.50000.01933 (12)
Cl10.88511 (8)0.01054 (13)0.62721 (9)0.0371 (2)
Cl20.50062 (7)0.36426 (11)0.68833 (7)0.02727 (19)
Cl30.65124 (8)0.70864 (12)0.60687 (8)0.0352 (2)
Cl40.86419 (8)0.18013 (12)0.35054 (9)0.0354 (2)
Cl50.64942 (8)0.29471 (13)0.49465 (9)0.0386 (2)
Cl60.89804 (8)0.71973 (11)0.40618 (8)0.0346 (2)
K10.09970 (10)0.02240 (18)0.86224 (11)0.0652 (4)
K20.67871 (6)0.56893 (10)0.88739 (7)0.0330 (2)
K30.31428 (7)0.56143 (11)0.76239 (8)0.0365 (2)
Atomic displacement parameters (Å2) top
U11U22U33U12U13U23
In10.01625 (18)0.02042 (19)0.0229 (2)0.00018 (9)0.00617 (15)0.00193 (11)
In20.01636 (18)0.02142 (19)0.0205 (2)0.00275 (9)0.00645 (14)0.00221 (11)
Cl10.0252 (5)0.0608 (7)0.0297 (5)0.0045 (3)0.0152 (4)0.0011 (4)
Cl20.0270 (4)0.0295 (4)0.0258 (4)0.0023 (3)0.0092 (3)0.0020 (3)
Cl30.0310 (4)0.0360 (5)0.0368 (5)0.0139 (3)0.0087 (4)0.0096 (4)
Cl40.0260 (4)0.0392 (5)0.0383 (5)0.0112 (3)0.0067 (4)0.0164 (4)
Cl50.0333 (5)0.0411 (5)0.0417 (6)0.0170 (4)0.0125 (4)0.0025 (4)
Cl60.0316 (4)0.0271 (4)0.0416 (6)0.0015 (3)0.0071 (4)0.0076 (4)
K10.0424 (6)0.1034 (10)0.0516 (7)0.0158 (5)0.0177 (6)0.0344 (6)
K20.0239 (4)0.0300 (4)0.0424 (5)0.0016 (3)0.0069 (3)0.0017 (3)
K30.0304 (4)0.0291 (4)0.0517 (6)0.0078 (3)0.0155 (4)0.0089 (4)
Geometric parameters (Å, º) top
In1—Cl52.4096 (9)Cl6—K3i3.4916 (13)
In1—Cl5i2.4096 (9)K1—Cl3v3.2518 (16)
In1—Cl32.4695 (9)K1—Cl6xiii3.2540 (16)
In1—Cl3i2.4695 (9)K1—Cl4iii3.2577 (16)
In1—Cl22.6005 (10)K1—Cl1ii3.2694 (17)
In1—Cl2i2.6005 (10)K1—Cl6v3.2898 (16)
In2—Cl1ii2.4595 (10)K1—Cl5v3.4642 (18)
In2—Cl1iii2.4595 (10)K1—Cl4xiii3.6101 (17)
In2—Cl4iii2.4806 (9)K1—Cl1ix3.6918 (19)
In2—Cl4ii2.4806 (9)K1—K2xiv4.6213 (15)
In2—Cl6i2.5463 (9)K1—K3xv4.7673 (16)
In2—Cl6iv2.5463 (10)K1—K3xvi4.7815 (18)
In2—K2v3.7433 (11)K1—K2v4.7998 (17)
In2—K2vi3.7433 (11)K2—Cl2ix3.0516 (12)
Cl1—In2vii2.4595 (10)K2—Cl6xvii3.0556 (13)
Cl1—K3v3.1991 (13)K2—Cl4xviii3.0912 (13)
Cl1—K1vii3.2694 (17)K2—Cl5xviii3.1374 (13)
Cl1—K2viii3.3151 (14)K2—Cl23.1511 (12)
Cl1—K1v3.6918 (19)K2—Cl1xviii3.3151 (15)
Cl2—K2v3.0516 (12)K2—Cl3xvii3.3636 (14)
Cl2—K3v3.1299 (13)K2—Cl33.6261 (15)
Cl3—K3ix3.0954 (13)K2—In2ix3.7433 (11)
Cl3—K1ix3.2518 (16)K2—K3ix4.1917 (14)
Cl3—K2x3.3636 (14)K2—K34.2038 (14)
Cl4—In2vii2.4806 (9)K2—K3v4.2926 (14)
Cl4—K3i2.9279 (12)K3—Cl4i2.9279 (12)
Cl4—K2viii3.0912 (13)K3—Cl3v3.0954 (13)
Cl4—K1iii3.2577 (16)K3—Cl23.1063 (12)
Cl4—K1xi3.6101 (17)K3—Cl2ix3.1299 (13)
Cl5—K2viii3.1374 (13)K3—Cl1ix3.1991 (13)
Cl5—K3v3.4552 (15)K3—Cl5ix3.4552 (15)
Cl5—K1ix3.4642 (18)K3—Cl6i3.4916 (13)
Cl5—K3i3.6022 (16)K3—Cl5i3.6022 (16)
Cl6—In2xii2.5463 (9)K3—K2v4.1917 (14)
Cl6—K2x3.0556 (13)K3—K2ix4.2926 (14)
Cl6—K1xi3.2540 (16)K3—K2xiv4.5300 (16)
Cl6—K1ix3.2898 (16)
Cl5—In1—Cl5i180.00 (5)Cl1ii—K1—K3xvi41.77 (2)
Cl5—In1—Cl389.43 (4)Cl6v—K1—K3xvi88.25 (3)
Cl5i—In1—Cl390.57 (4)Cl5v—K1—K3xvi149.43 (4)
Cl5—In1—Cl3i90.57 (4)Cl4xiii—K1—K3xvi37.68 (2)
Cl5i—In1—Cl3i89.43 (4)Cl1ix—K1—K3xvi89.17 (3)
Cl3—In1—Cl3i180.00 (3)K2xiv—K1—K3xvi120.31 (3)
Cl5—In1—Cl289.77 (3)K3xv—K1—K3xvi124.62 (3)
Cl5i—In1—Cl290.23 (3)Cl3v—K1—K2v49.04 (3)
Cl3—In1—Cl288.13 (3)Cl6xiii—K1—K2v140.62 (4)
Cl3i—In1—Cl291.87 (3)Cl4iii—K1—K2v39.60 (2)
Cl5—In1—Cl2i90.23 (3)Cl1ii—K1—K2v81.58 (4)
Cl5i—In1—Cl2i89.77 (3)Cl6v—K1—K2v135.60 (4)
Cl3—In1—Cl2i91.87 (3)Cl5v—K1—K2v78.04 (3)
Cl3i—In1—Cl2i88.13 (3)Cl4xiii—K1—K2v122.53 (4)
Cl2—In1—Cl2i180.0Cl1ix—K1—K2v85.32 (3)
Cl1ii—In2—Cl1iii180.0K2xiv—K1—K2v94.43 (3)
Cl1ii—In2—Cl4iii84.01 (4)K3xv—K1—K2v53.32 (2)
Cl1iii—In2—Cl4iii95.99 (4)K3xvi—K1—K2v122.45 (3)
Cl1ii—In2—Cl4ii95.99 (4)Cl2ix—K2—Cl6xvii99.30 (4)
Cl1iii—In2—Cl4ii84.01 (4)Cl2ix—K2—Cl4xviii151.79 (4)
Cl4iii—In2—Cl4ii180.0Cl6xvii—K2—Cl4xviii70.46 (3)
Cl1ii—In2—Cl6i87.77 (3)Cl2ix—K2—Cl5xviii127.29 (4)
Cl1iii—In2—Cl6i92.23 (3)Cl6xvii—K2—Cl5xviii130.05 (4)
Cl4iii—In2—Cl6i89.71 (3)Cl4xviii—K2—Cl5xviii74.04 (3)
Cl4ii—In2—Cl6i90.29 (3)Cl2ix—K2—Cl282.50 (3)
Cl1ii—In2—Cl6iv92.23 (3)Cl6xvii—K2—Cl2132.54 (4)
Cl1iii—In2—Cl6iv87.77 (3)Cl4xviii—K2—Cl285.81 (3)
Cl4iii—In2—Cl6iv90.29 (4)Cl5xviii—K2—Cl276.89 (3)
Cl4ii—In2—Cl6iv89.71 (4)Cl2ix—K2—Cl1xviii132.37 (4)
Cl6i—In2—Cl6iv180.0Cl6xvii—K2—Cl1xviii68.86 (3)
Cl1ii—In2—K2v119.52 (3)Cl4xviii—K2—Cl1xviii69.82 (3)
Cl1iii—In2—K2v60.48 (3)Cl5xviii—K2—Cl1xviii66.54 (3)
Cl4iii—In2—K2v55.16 (3)Cl2—K2—Cl1xviii140.16 (4)
Cl4ii—In2—K2v124.84 (3)Cl2ix—K2—Cl3xvii69.03 (3)
Cl6i—In2—K2v54.17 (2)Cl6xvii—K2—Cl3xvii89.68 (3)
Cl6iv—In2—K2v125.83 (2)Cl4xviii—K2—Cl3xvii134.75 (4)
Cl1ii—In2—K2vi60.48 (3)Cl5xviii—K2—Cl3xvii91.22 (4)
Cl1iii—In2—K2vi119.52 (3)Cl2—K2—Cl3xvii133.00 (3)
Cl4iii—In2—K2vi124.84 (3)Cl1xviii—K2—Cl3xvii65.10 (3)
Cl4ii—In2—K2vi55.16 (3)Cl2ix—K2—Cl369.48 (3)
Cl6i—In2—K2vi125.83 (2)Cl6xvii—K2—Cl373.97 (3)
Cl6iv—In2—K2vi54.17 (2)Cl4xviii—K2—Cl382.35 (3)
K2v—In2—K2vi180.0Cl5xviii—K2—Cl3133.97 (4)
In2vii—Cl1—K3v165.39 (5)Cl2—K2—Cl362.26 (3)
In2vii—Cl1—K1vii98.25 (4)Cl1xviii—K2—Cl3139.11 (3)
K3v—Cl1—K1vii95.32 (4)Cl3xvii—K2—Cl3131.83 (3)
In2vii—Cl1—K2viii79.30 (4)Cl2ix—K2—In2ix140.84 (3)
K3v—Cl1—K2viii88.10 (4)Cl6xvii—K2—In2ix42.50 (2)
K1vii—Cl1—K2viii170.84 (4)Cl4xviii—K2—In2ix41.19 (2)
In2vii—Cl1—K1v87.65 (3)Cl5xviii—K2—In2ix87.98 (3)
K3v—Cl1—K1v98.07 (3)Cl2—K2—In2ix126.93 (3)
K1vii—Cl1—K1v88.76 (3)Cl1xviii—K2—In2ix40.212 (19)
K2viii—Cl1—K1v82.34 (3)Cl3xvii—K2—In2ix97.25 (3)
In1—Cl2—K2v102.15 (3)Cl3—K2—In2ix99.62 (3)
In1—Cl2—K3107.80 (3)Cl2ix—K2—K3ix47.65 (2)
K2v—Cl2—K385.79 (3)Cl6xvii—K2—K3ix54.94 (2)
In1—Cl2—K3v104.99 (3)Cl4xviii—K2—K3ix110.34 (3)
K2v—Cl2—K3v85.69 (3)Cl5xviii—K2—K3ix174.85 (3)
K3—Cl2—K3v147.16 (3)Cl2—K2—K3ix100.45 (3)
In1—Cl2—K2109.89 (3)Cl1xviii—K2—K3ix117.16 (3)
K2v—Cl2—K2147.96 (3)Cl3xvii—K2—K3ix87.43 (3)
K3—Cl2—K284.41 (3)Cl3—K2—K3ix45.95 (2)
K3v—Cl2—K286.22 (3)In2ix—K2—K3ix97.11 (2)
In1—Cl3—K3ix142.31 (4)Cl2ix—K2—K347.94 (2)
In1—Cl3—K1ix106.93 (4)Cl6xvii—K2—K3145.77 (3)
K3ix—Cl3—K1ix110.42 (4)Cl4xviii—K2—K3132.03 (3)
In1—Cl3—K2x96.93 (4)Cl5xviii—K2—K384.08 (3)
K3ix—Cl3—K2x88.97 (4)Cl2—K2—K347.34 (2)
K1ix—Cl3—K2x88.61 (3)Cl1xviii—K2—K3137.55 (3)
In1—Cl3—K299.71 (3)Cl3xvii—K2—K386.69 (3)
K3ix—Cl3—K276.71 (3)Cl3—K2—K383.33 (3)
K1ix—Cl3—K288.34 (3)In2ix—K2—K3171.22 (2)
K2x—Cl3—K2163.26 (3)K3ix—K2—K390.88 (2)
In2vii—Cl4—K3i160.99 (5)Cl2ix—K2—K3v128.93 (3)
In2vii—Cl4—K2viii83.65 (3)Cl6xvii—K2—K3v110.99 (3)
K3i—Cl4—K2viii90.94 (4)Cl4xviii—K2—K3v43.00 (2)
In2vii—Cl4—K1iii98.11 (4)Cl5xviii—K2—K3v55.40 (3)
K3i—Cl4—K1iii100.70 (5)Cl2—K2—K3v46.68 (2)
K2viii—Cl4—K1iii98.19 (4)Cl1xviii—K2—K3v97.31 (3)
In2vii—Cl4—K1xi89.19 (3)Cl3xvii—K2—K3v146.62 (3)
K3i—Cl4—K1xi93.41 (4)Cl3—K2—K3v80.39 (3)
K2viii—Cl4—K1xi169.52 (4)In2ix—K2—K3v82.889 (18)
K1iii—Cl4—K1xi90.37 (3)K3ix—K2—K3v125.80 (4)
In1—Cl5—K2viii140.29 (4)K3—K2—K3v89.50 (2)
In1—Cl5—K3v100.46 (4)Cl4i—K3—Cl3v141.87 (4)
K2viii—Cl5—K3v86.67 (4)Cl4i—K3—Cl2132.15 (4)
In1—Cl5—K1ix102.25 (4)Cl3v—K3—Cl276.39 (3)
K2viii—Cl5—K1ix117.19 (4)Cl4i—K3—Cl2ix89.04 (4)
K3v—Cl5—K1ix87.10 (3)Cl3v—K3—Cl2ix123.94 (4)
In1—Cl5—K3i98.51 (3)Cl2—K3—Cl2ix81.98 (3)
K2viii—Cl5—K3i78.79 (3)Cl4i—K3—Cl1ix75.26 (4)
K3v—Cl5—K3i161.03 (3)Cl3v—K3—Cl1ix69.60 (3)
K1ix—Cl5—K3i88.77 (4)Cl2—K3—Cl1ix144.04 (4)
In2xii—Cl6—K2x83.33 (3)Cl2ix—K3—Cl1ix126.94 (4)
In2xii—Cl6—K1xi105.46 (4)Cl4i—K3—Cl5ix87.53 (4)
K2x—Cl6—K1xi166.07 (5)Cl3v—K3—Cl5ix90.23 (4)
In2xii—Cl6—K1ix95.57 (4)Cl2—K3—Cl5ix128.39 (4)
K2x—Cl6—K1ix93.41 (4)Cl2ix—K3—Cl5ix64.78 (3)
K1xi—Cl6—K1ix96.40 (4)Cl1ix—K3—Cl5ix64.20 (3)
In2xii—Cl6—K3i160.81 (4)Cl4i—K3—Cl6i79.65 (4)
K2x—Cl6—K3i79.31 (3)Cl3v—K3—Cl6i75.52 (3)
K1xi—Cl6—K3i90.21 (4)Cl2—K3—Cl6i89.53 (3)
K1ix—Cl6—K3i93.56 (4)Cl2ix—K3—Cl6i155.45 (4)
Cl3v—K1—Cl6xiii161.80 (6)Cl1ix—K3—Cl6i71.25 (3)
Cl3v—K1—Cl4iii86.03 (4)Cl5ix—K3—Cl6i135.42 (3)
Cl6xiii—K1—Cl4iii101.05 (4)Cl4i—K3—Cl5i69.22 (3)
Cl3v—K1—Cl1ii124.10 (5)Cl3v—K3—Cl5i135.30 (4)
Cl6xiii—K1—Cl1ii73.53 (4)Cl2—K3—Cl5i63.44 (3)
Cl4iii—K1—Cl1ii60.86 (3)Cl2ix—K3—Cl5i70.61 (3)
Cl3v—K1—Cl6v87.70 (4)Cl1ix—K3—Cl5i140.18 (4)
Cl6xiii—K1—Cl6v83.60 (4)Cl5ix—K3—Cl5i129.64 (3)
Cl4iii—K1—Cl6v172.09 (5)Cl6i—K3—Cl5i84.97 (3)
Cl1ii—K1—Cl6v126.93 (5)Cl4i—K3—K2v119.39 (4)
Cl3v—K1—Cl5v61.39 (3)Cl3v—K3—K2v57.34 (3)
Cl6xiii—K1—Cl5v102.60 (5)Cl2—K3—K2v46.56 (2)
Cl4iii—K1—Cl5v82.42 (4)Cl2ix—K3—K2v128.29 (3)
Cl1ii—K1—Cl5v140.67 (5)Cl1ix—K3—K2v102.87 (3)
Cl6v—K1—Cl5v90.35 (4)Cl5ix—K3—K2v147.40 (3)
Cl3v—K1—Cl4xiii115.75 (5)Cl6i—K3—K2v45.75 (2)
Cl6xiii—K1—Cl4xiii73.86 (4)Cl5i—K3—K2v80.19 (3)
Cl4iii—K1—Cl4xiii125.31 (4)Cl4i—K3—K2134.57 (3)
Cl1ii—K1—Cl4xiii65.79 (3)Cl3v—K3—K282.32 (3)
Cl6v—K1—Cl4xiii61.99 (3)Cl2—K3—K248.25 (2)
Cl5v—K1—Cl4xiii152.26 (5)Cl2ix—K3—K246.37 (2)
Cl3v—K1—Cl1ix61.95 (3)Cl1ix—K3—K2134.10 (4)
Cl6xiii—K1—Cl1ix125.93 (4)Cl5ix—K3—K280.95 (3)
Cl4iii—K1—Cl1ix118.71 (5)Cl6i—K3—K2136.18 (3)
Cl1ii—K1—Cl1ix94.38 (5)Cl5i—K3—K284.98 (3)
Cl6v—K1—Cl1ix61.92 (3)K2v—K3—K290.49 (2)
Cl5v—K1—Cl1ix116.83 (4)Cl4i—K3—K2ix46.06 (3)
Cl4xiii—K1—Cl1ix53.83 (3)Cl3v—K3—K2ix171.02 (3)
Cl3v—K1—K2xiv46.69 (3)Cl2—K3—K2ix99.91 (3)
Cl6xiii—K1—K2xiv124.23 (4)Cl2ix—K3—K2ix47.10 (2)
Cl4iii—K1—K2xiv132.72 (4)Cl1ix—K3—K2ix115.40 (3)
Cl1ii—K1—K2xiv139.65 (5)Cl5ix—K3—K2ix85.72 (3)
Cl6v—K1—K2xiv41.30 (2)Cl6i—K3—K2ix112.88 (3)
Cl5v—K1—K2xiv75.61 (3)Cl5i—K3—K2ix45.80 (2)
Cl4xiii—K1—K2xiv83.78 (3)K2v—K3—K2ix125.80 (4)
Cl1ix—K1—K2xiv45.31 (2)K2—K3—K2ix89.12 (2)
Cl3v—K1—K3xv77.10 (3)Cl4i—K3—K2xiv113.58 (3)
Cl6xiii—K1—K3xv98.36 (4)Cl3v—K3—K2xiv47.94 (2)
Cl4iii—K1—K3xv37.12 (2)Cl2—K3—K2xiv114.26 (3)
Cl1ii—K1—K3xv94.72 (3)Cl2ix—K3—K2xiv100.37 (3)
Cl6v—K1—K3xv136.29 (4)Cl1ix—K3—K2xiv47.00 (3)
Cl5v—K1—K3xv46.37 (3)Cl5ix—K3—K2xiv43.74 (2)
Cl4xiii—K1—K3xv160.25 (4)Cl6i—K3—K2xiv104.11 (3)
Cl1ix—K1—K3xv135.53 (4)Cl5i—K3—K2xiv170.76 (3)
K2xiv—K1—K3xv114.99 (3)K2v—K3—K2xiv104.85 (2)
Cl3v—K1—K3xvi148.94 (5)K2—K3—K2xiv87.22 (2)
Cl6xiii—K1—K3xvi46.91 (3)K2ix—K3—K2xiv129.24 (3)
Cl4iii—K1—K3xvi99.60 (3)
Symmetry codes: (i) x+1, y+1, z+1; (ii) x1, y, z; (iii) x+1, y, z+1; (iv) x1, y1, z; (v) x+1, y1/2, z+3/2; (vi) x1, y+1/2, z1/2; (vii) x+1, y, z; (viii) x, y+1/2, z1/2; (ix) x+1, y+1/2, z+3/2; (x) x, y+3/2, z1/2; (xi) x+1, y+1/2, z1/2; (xii) x+1, y+1, z; (xiii) x1, y+1/2, z+1/2; (xiv) x+1, y+1, z+2; (xv) x, y1, z; (xvi) x, y1/2, z+3/2; (xvii) x, y+3/2, z+1/2; (xviii) x, y+1/2, z+1/2.
 

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