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In the title compound, [Ni(C3H10N2)(C6H18N4)](ClO4)2, the NiII atom has a distorted octa­hedral coordination, formed by four N atoms of the tris­(2-amino­ethyl)amine (tren) ligand and two N atoms of the 1,3-diamino­propane (pn) ligand. The tren ligand consists of three five-membered chelate rings in gauche conformations and the pn ligand consists of a six-membered chelate ring in a chair conformation. In the crystal structure, a two-dimensional network of hydrogen bonds extends parallel to the (100) plane.

Supporting information

cif

Crystallographic Information File (CIF) https://doi.org/10.1107/S1600536805025225/ob6559sup1.cif
Contains datablocks global, I

hkl

Structure factor file (CIF format) https://doi.org/10.1107/S1600536805025225/ob6559Isup2.hkl
Contains datablock I

CCDC reference: 283972

Key indicators

  • Single-crystal X-ray study
  • T = 295 K
  • Mean [sigma](C-C) = 0.004 Å
  • Disorder in main residue
  • R factor = 0.025
  • wR factor = 0.062
  • Data-to-parameter ratio = 15.3

checkCIF/PLATON results

No syntax errors found



Alert level C PLAT042_ALERT_1_C Calc. and Rep. MoietyFormula Strings Differ .... ? PLAT094_ALERT_2_C Ratio of Maximum / Minimum Residual Density .... 2.06 PLAT125_ALERT_4_C No _symmetry_space_group_name_Hall Given ....... ? PLAT164_ALERT_4_C Nr. of Refined C-H H-Atoms in Heavy-At Struct... 4 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 PLAT301_ALERT_3_C Main Residue Disorder ......................... 6.00 Perc. PLAT410_ALERT_2_C Short Intra H...H Contact H4D .. H8BC .. 1.94 Ang. PLAT420_ALERT_2_C D-H Without Acceptor N2 - H2A ... ? PLAT480_ALERT_4_C Long H...A H-Bond Reported H2B .. O5 .. 2.65 Ang. PLAT480_ALERT_4_C Long H...A H-Bond Reported H3B .. O2 .. 2.61 Ang. PLAT720_ALERT_4_C Number of Unusual/Non-Standard Label(s) ........ 12
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 28.29 From the CIF: _reflns_number_total 3745 Count of symmetry unique reflns 2460 Completeness (_total/calc) 152.24% TEST3: Check Friedels for noncentro structure Estimate of Friedel pairs measured 1285 Fraction of Friedel pairs measured 0.522 Are heavy atom types Z>Si present yes
0 ALERT level A = In general: serious problem 0 ALERT level B = Potentially serious problem 12 ALERT level C = Check and explain 1 ALERT level G = General alerts; check 1 ALERT type 1 CIF construction/syntax error, inconsistent or missing data 3 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 8 ALERT type 4 Improvement, methodology, query or suggestion

Computing details top

Data collection: SMART (Bruker, 1998); cell refinement: SAINT (Bruker, 2000); data reduction: SAINT; program(s) used to solve structure: SHELXS97 (Sheldrick, 1997); program(s) used to refine structure: SHELXL97 (Sheldrick, 1997); molecular graphics: ORTEP-3 (Farrugia, 1997); software used to prepare material for publication: SHELXL97.

(1,3-Diaminopropane-κ2N,N')[tris(2-aminoethyl)amine- κ4N,N',N'',N''']nickel(II) bis(perchlorate) top
Crystal data top
[Ni(C3H10N2)(C6H18N4)](ClO4)2Dx = 1.665 Mg m3
Mr = 477.98Mo Kα radiation, λ = 0.71073 Å
Orthorhombic, Pna21Cell parameters from 3745 reflections
a = 16.876 (2) Åθ = 2.4–28.3°
b = 8.2937 (9) ŵ = 1.35 mm1
c = 13.6237 (16) ÅT = 295 K
V = 1906.9 (4) Å3Plate, purple
Z = 40.30 × 0.25 × 0.20 mm
F(000) = 1000
Data collection top
Bruker CCD area-detector
diffractometer
3745 independent reflections
Radiation source: fine-focus sealed tube3575 reflections with I > 2σ(I)
Graphite monochromatorRint = 0.025
φ and ω scansθmax = 28.3°, θmin = 2.4°
Absorption correction: multi-scan
(SADABS; Bruker, 2000)
h = 2221
Tmin = 0.692, Tmax = 0.764k = 1011
11557 measured reflectionsl = 1813
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)] = 0.025H-atom parameters constrained
wR(F2) = 0.062 w = 1/[σ2(Fo2) + (0.0371P)2 + 0.65P]
where P = (Fo2 + 2Fc2)/3
S = 0.95(Δ/σ)max = 0.026
3745 reflectionsΔρmax = 0.44 e Å3
245 parametersΔρmin = 0.21 e Å3
11 restraintsAbsolute structure: Flack (1983), 1285 Friedel pairs
Primary atom site location: structure-invariant direct methodsAbsolute structure parameter: 0.010 (12)
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*/UeqOcc. (<1)
Ni0.163947 (14)0.04588 (3)0.50329 (3)0.02898 (7)
Cl10.28938 (4)0.48797 (7)0.65057 (6)0.04334 (14)
Cl20.08591 (4)0.49047 (7)0.29324 (5)0.04136 (14)
O10.21079 (17)0.5422 (4)0.6403 (3)0.0966 (11)
O20.29246 (19)0.3534 (3)0.7158 (2)0.0836 (8)
O30.3161 (2)0.4398 (3)0.5563 (2)0.0815 (8)
O40.33789 (18)0.6132 (4)0.6876 (2)0.0873 (9)
O50.16199 (14)0.4704 (4)0.3390 (2)0.0772 (8)
O60.03330 (14)0.3666 (3)0.3284 (2)0.0685 (7)
O70.05395 (17)0.6440 (3)0.3183 (2)0.0837 (8)
O80.09492 (15)0.4796 (3)0.1893 (2)0.0715 (7)
N10.21820 (12)0.1808 (3)0.46090 (19)0.0438 (5)
H1A0.19950.25770.50130.053*
H1B0.20110.20500.40010.053*
N20.25376 (11)0.1594 (2)0.42163 (17)0.0393 (5)
H2A0.24070.15130.35780.047*
H2B0.25280.26500.43690.047*
N30.08024 (12)0.0094 (3)0.38505 (17)0.0386 (5)
H3A0.07360.10220.35170.046*
H3B0.09910.06520.34320.046*
N40.11423 (13)0.2748 (3)0.53542 (18)0.0434 (5)
H4AA0.148 (3)0.358 (6)0.544 (5)0.052*0.60
H4AB0.079 (2)0.291 (6)0.487 (3)0.052*0.60
H4BA0.143 (5)0.326 (10)0.581 (5)0.052*0.40
H4BB0.125 (5)0.363 (7)0.499 (6)0.052*0.40
N50.06528 (12)0.0321 (3)0.58856 (16)0.0365 (5)
N60.22223 (13)0.0243 (3)0.64281 (19)0.0432 (5)
H6A0.26300.04520.63770.052*
H6B0.24170.12080.66090.052*
C10.30636 (16)0.1933 (3)0.4607 (3)0.0527 (7)
H1C0.32540.18350.52760.063*
H1D0.32120.29930.43690.063*
C20.34628 (16)0.0691 (4)0.3992 (3)0.0586 (8)
H2C0.32620.07830.33270.070*
H2D0.40250.09360.39720.070*
C30.33653 (14)0.1033 (4)0.4320 (3)0.0532 (7)
H3C0.35260.11270.50010.064*
H3D0.37100.17190.39320.064*
C40.00327 (15)0.0447 (4)0.4256 (2)0.0464 (6)
H4C0.02260.11610.37920.056*
H4D0.03090.04780.43620.056*
C50.01642 (14)0.1319 (3)0.5216 (2)0.0463 (7)
H5C0.03430.15470.55210.056*
H5D0.04290.23370.50930.056*
C60.09859 (16)0.1261 (4)0.6702 (2)0.0510 (7)
H6C0.11800.22870.64580.061*
H6D0.05760.14760.71830.061*
C70.16588 (18)0.0341 (4)0.7181 (2)0.0565 (8)
H7C0.14470.05690.75440.068*
H7D0.19330.10380.76410.068*
C8A0.0671 (3)0.2648 (6)0.6251 (4)0.0478 (11)0.60
H8AC0.034 (3)0.358 (6)0.631 (5)0.057*0.60
H8AD0.105 (3)0.262 (6)0.677 (3)0.057*0.60
C8B0.0313 (5)0.2584 (9)0.5647 (7)0.0527 (18)0.40
H8BC0.003 (4)0.243 (10)0.503 (3)0.063*0.40
H8BD0.018 (6)0.352 (9)0.604 (7)0.063*0.40
C90.01946 (15)0.1097 (4)0.6260 (2)0.0472 (6)
H9AC0.005 (3)0.110 (8)0.689 (2)0.057*0.60
H9AD0.025 (3)0.115 (7)0.582 (4)0.057*0.60
H9BC0.033 (2)0.066 (10)0.630 (8)0.057*0.40
H9BD0.031 (5)0.112 (12)0.6948 (19)0.057*0.40
Atomic displacement parameters (Å2) top
U11U22U33U12U13U23
Ni0.02662 (11)0.03236 (12)0.02796 (13)0.00083 (9)0.00135 (12)0.00104 (13)
Cl10.0471 (3)0.0383 (3)0.0446 (3)0.0023 (2)0.0057 (3)0.0000 (3)
Cl20.0413 (3)0.0392 (3)0.0436 (3)0.0054 (2)0.0034 (3)0.0042 (3)
O10.0582 (14)0.093 (2)0.138 (3)0.0204 (14)0.0058 (17)0.018 (2)
O20.128 (2)0.0509 (14)0.0721 (19)0.0054 (14)0.0105 (17)0.0173 (13)
O30.109 (2)0.0793 (18)0.0561 (19)0.0054 (16)0.0054 (15)0.0177 (13)
O40.117 (2)0.0747 (17)0.0700 (19)0.0396 (16)0.0225 (16)0.0083 (15)
O50.0519 (13)0.106 (2)0.073 (2)0.0015 (12)0.0136 (11)0.0234 (16)
O60.0599 (12)0.0585 (13)0.0871 (19)0.0121 (10)0.0004 (12)0.0161 (12)
O70.0987 (19)0.0483 (13)0.104 (2)0.0157 (12)0.0226 (16)0.0069 (14)
O80.0740 (15)0.0958 (18)0.0447 (14)0.0178 (13)0.0033 (12)0.0012 (12)
N10.0422 (11)0.0395 (11)0.0496 (13)0.0031 (8)0.0021 (9)0.0001 (9)
N20.0365 (10)0.0392 (10)0.0422 (12)0.0018 (8)0.0042 (9)0.0052 (9)
N30.0394 (10)0.0455 (11)0.0310 (11)0.0016 (9)0.0010 (9)0.0006 (9)
N40.0451 (11)0.0382 (11)0.0470 (13)0.0038 (9)0.0004 (10)0.0022 (10)
N50.0315 (9)0.0461 (12)0.0318 (12)0.0005 (8)0.0048 (8)0.0004 (9)
N60.0383 (11)0.0554 (13)0.0359 (12)0.0006 (9)0.0025 (9)0.0039 (10)
C10.0465 (14)0.0491 (15)0.0624 (19)0.0177 (12)0.0057 (12)0.0032 (13)
C20.0369 (13)0.070 (2)0.069 (2)0.0133 (13)0.0144 (13)0.0034 (17)
C30.0338 (12)0.0610 (17)0.065 (2)0.0052 (11)0.0049 (12)0.0105 (16)
C40.0329 (12)0.0607 (17)0.0458 (17)0.0030 (11)0.0030 (11)0.0110 (13)
C50.0374 (11)0.0534 (14)0.0480 (18)0.0130 (10)0.0076 (10)0.0045 (12)
C60.0468 (14)0.0627 (17)0.0434 (16)0.0028 (12)0.0082 (11)0.0174 (14)
C70.0514 (16)0.085 (2)0.0332 (16)0.0004 (14)0.0028 (12)0.0135 (15)
C8A0.046 (2)0.050 (3)0.048 (3)0.002 (2)0.005 (2)0.017 (2)
C8B0.047 (4)0.049 (4)0.063 (5)0.018 (3)0.006 (4)0.012 (4)
C90.0376 (12)0.0615 (17)0.0424 (16)0.0060 (12)0.0105 (11)0.0093 (13)
Geometric parameters (Å, º) top
Ni—N22.103 (2)N6—C71.480 (4)
Ni—N42.122 (2)N6—H6A0.9000
Ni—N52.131 (2)N6—H6B0.9000
Ni—N62.148 (3)C1—C21.488 (4)
Ni—N32.164 (2)C1—H1C0.9700
Ni—N12.169 (2)C1—H1D0.9700
Cl1—O11.407 (3)C2—C31.507 (5)
Cl1—O41.416 (3)C2—H2C0.9700
Cl1—O31.418 (3)C2—H2D0.9700
Cl1—O21.428 (3)C3—H3C0.9700
Cl2—O71.424 (2)C3—H3D0.9700
Cl2—O81.428 (3)C4—C51.511 (4)
Cl2—O51.437 (2)C4—H4C0.9700
Cl2—O61.440 (2)C4—H4D0.9700
N1—C11.491 (3)C5—H5C0.9700
N1—H1A0.9000C5—H5D0.9700
N1—H1B0.9000C6—C71.516 (4)
N2—C31.479 (3)C6—H6C0.9700
N2—H2A0.9000C6—H6D0.9700
N2—H2B0.9000C7—H7C0.9700
N3—C41.481 (3)C7—H7D0.9700
N3—H3A0.9000C8A—C91.518 (6)
N3—H3B0.9000C8A—H8AC0.96 (2)
N4—C8A1.460 (6)C8A—H8AD0.96 (2)
N4—C8B1.462 (8)C8B—C91.502 (9)
N4—H4AA0.90 (2)C8B—H8BC0.97 (2)
N4—H4AB0.894 (19)C8B—H8BD0.97 (2)
N4—H4BA0.89 (2)C9—H9AC0.96 (2)
N4—H4BB0.90 (2)C9—H9AD0.96 (2)
N5—C61.470 (4)C9—H9BC0.96 (2)
N5—C51.482 (3)C9—H9BD0.96 (2)
N5—C91.497 (3)
N2—Ni—N489.62 (9)H6A—N6—H6B108.1
N2—Ni—N5170.99 (8)C2—C1—N1113.9 (2)
N4—Ni—N581.39 (9)C2—C1—H1C108.8
N2—Ni—N6100.11 (9)N1—C1—H1C108.8
N4—Ni—N694.20 (9)C2—C1—H1D108.8
N5—Ni—N681.37 (8)N1—C1—H1D108.8
N2—Ni—N398.01 (9)H1C—C1—H1D107.7
N4—Ni—N391.17 (9)C1—C2—C3116.1 (3)
N5—Ni—N381.56 (9)C1—C2—H2C108.3
N6—Ni—N3161.12 (8)C3—C2—H2C108.3
N2—Ni—N186.73 (8)C1—C2—H2D108.3
N4—Ni—N1175.91 (10)C3—C2—H2D108.3
N5—Ni—N1102.23 (8)H2C—C2—H2D107.4
N6—Ni—N188.28 (9)N2—C3—C2111.9 (2)
N3—Ni—N187.50 (9)N2—C3—H3C109.2
O1—Cl1—O4110.3 (2)C2—C3—H3C109.2
O1—Cl1—O3107.4 (2)N2—C3—H3D109.2
O4—Cl1—O3110.20 (19)C2—C3—H3D109.2
O1—Cl1—O2110.2 (2)H3C—C3—H3D107.9
O4—Cl1—O2109.30 (19)N3—C4—C5109.8 (2)
O3—Cl1—O2109.39 (19)N3—C4—H4C109.7
O7—Cl2—O8109.53 (17)C5—C4—H4C109.7
O7—Cl2—O5109.77 (19)N3—C4—H4D109.7
O8—Cl2—O5109.14 (17)C5—C4—H4D109.7
O7—Cl2—O6108.95 (16)H4C—C4—H4D108.2
O8—Cl2—O6110.54 (16)N5—C5—C4110.3 (2)
O5—Cl2—O6108.90 (15)N5—C5—H5C109.6
C1—N1—Ni118.79 (17)C4—C5—H5C109.6
C1—N1—H1A107.6N5—C5—H5D109.6
Ni—N1—H1A107.6C4—C5—H5D109.6
C1—N1—H1B107.6H5C—C5—H5D108.1
Ni—N1—H1B107.6N5—C6—C7110.2 (2)
H1A—N1—H1B107.0N5—C6—H6C109.6
C3—N2—Ni119.29 (18)C7—C6—H6C109.6
C3—N2—H2A107.5N5—C6—H6D109.6
Ni—N2—H2A107.5C7—C6—H6D109.6
C3—N2—H2B107.5H6C—C6—H6D108.1
Ni—N2—H2B107.5N6—C7—C6110.3 (3)
H2A—N2—H2B107.0N6—C7—H7C109.6
C4—N3—Ni109.73 (17)C6—C7—H7C109.6
C4—N3—H3A109.7N6—C7—H7D109.6
Ni—N3—H3A109.7C6—C7—H7D109.6
C4—N3—H3B109.7H7C—C7—H7D108.1
Ni—N3—H3B109.7N4—C8A—C9110.1 (3)
H3A—N3—H3B108.2N4—C8A—H8AC110 (5)
C8A—N4—Ni109.7 (2)C9—C8A—H8AC112 (4)
C8B—N4—Ni110.6 (3)H4BA—C8A—H8AC105 (6)
C8A—N4—H4AA106 (4)N4—C8A—H8AD105 (3)
Ni—N4—H4AA118 (4)C9—C8A—H8AD109 (3)
C8A—N4—H4AB106 (3)H8AC—C8A—H8AD111 (5)
Ni—N4—H4AB104 (3)N4—C8B—C9110.8 (5)
H4AA—N4—H4AB113 (5)N4—C8B—H8BC104 (5)
C8B—N4—H4BA112 (6)C9—C8B—H8BC108 (5)
Ni—N4—H4BA111 (6)N4—C8B—H8BD107 (7)
C8B—N4—H4BB115 (5)C9—C8B—H8BD109 (7)
Ni—N4—H4BB122 (6)H8BC—C8B—H8BD118 (7)
H4BA—N4—H4BB84 (8)N5—C9—C8B112.8 (3)
C6—N5—C5112.5 (2)N5—C9—C8A112.9 (2)
C6—N5—C9110.9 (2)N5—C9—H9AC122 (4)
C5—N5—C9111.2 (2)C8A—C9—H9AC104 (4)
C6—N5—Ni105.94 (15)N5—C9—H9AD103 (4)
C5—N5—Ni105.57 (15)C8A—C9—H9AD112 (4)
C9—N5—Ni110.53 (16)H9AC—C9—H9AD103 (5)
C7—N6—Ni110.28 (18)N5—C9—H9BC101 (5)
C7—N6—H6A109.6C8B—C9—H9BC118 (6)
Ni—N6—H6A109.6N5—C9—H9BD104 (6)
C7—N6—H6B109.6C8B—C9—H9BD120 (6)
Ni—N6—H6B109.6H9BC—C9—H9BD98 (8)
N2—Ni—N1—C140.9 (2)N2—Ni—N6—C7172.4 (2)
N5—Ni—N1—C1140.2 (2)N4—Ni—N6—C782.0 (2)
N6—Ni—N1—C159.4 (2)N5—Ni—N6—C71.4 (2)
N3—Ni—N1—C1139.0 (2)N3—Ni—N6—C724.1 (4)
N4—Ni—N2—C3137.1 (2)N1—Ni—N6—C7101.3 (2)
N6—Ni—N2—C342.9 (2)Ni—N1—C1—C255.5 (3)
N3—Ni—N2—C3131.8 (2)N1—C1—C2—C364.5 (4)
N1—Ni—N2—C344.8 (2)Ni—N2—C3—C262.6 (3)
N2—Ni—N3—C4170.02 (17)C1—C2—C3—N267.4 (4)
N4—Ni—N3—C480.24 (18)Ni—N3—C4—C527.2 (3)
N5—Ni—N3—C40.88 (17)C6—N5—C5—C4163.8 (2)
N6—Ni—N3—C426.4 (4)C9—N5—C5—C471.1 (3)
N1—Ni—N3—C4103.64 (18)Ni—N5—C5—C448.7 (2)
N2—Ni—N4—C8A156.4 (3)N3—C4—C5—N551.8 (3)
N5—Ni—N4—C8A24.3 (3)C5—N5—C6—C7163.4 (2)
N6—Ni—N4—C8A56.3 (3)C9—N5—C6—C771.5 (3)
N3—Ni—N4—C8A105.6 (3)Ni—N5—C6—C748.5 (3)
N2—Ni—N4—C8B159.8 (4)Ni—N6—C7—C624.2 (3)
N5—Ni—N4—C8B19.5 (4)N5—C6—C7—N649.5 (3)
N6—Ni—N4—C8B100.1 (4)Ni—N4—C8A—C8B99.0 (5)
N3—Ni—N4—C8B61.8 (4)C8B—N4—C8A—C957.6 (5)
N4—Ni—N5—C6122.52 (19)Ni—N4—C8A—C941.4 (4)
N6—Ni—N5—C626.90 (18)Ni—N4—C8B—C8A96.7 (5)
N3—Ni—N5—C6145.00 (19)Ni—N4—C8B—C937.7 (7)
N1—Ni—N5—C659.44 (19)C6—N5—C9—C8B140.7 (4)
N4—Ni—N5—C5117.97 (17)C5—N5—C9—C8B93.3 (4)
N6—Ni—N5—C5146.41 (17)Ni—N5—C9—C8B23.6 (5)
N3—Ni—N5—C525.49 (15)C6—N5—C9—C8A97.6 (3)
N1—Ni—N5—C560.07 (17)C5—N5—C9—C8A136.4 (3)
N4—Ni—N5—C92.33 (18)Ni—N5—C9—C8A19.6 (4)
N6—Ni—N5—C993.29 (18)N4—C8B—C9—N540.9 (7)
N3—Ni—N5—C994.81 (19)N4—C8A—C9—N540.7 (5)
N1—Ni—N5—C9179.63 (18)
Hydrogen-bond geometry (Å, º) top
D—H···AD—HH···AD···AD—H···A
N1—H1A···O1i0.902.533.357 (5)154
N1—H1B···O2ii0.902.563.356 (4)148
N2—H2B···O30.902.433.144 (4)137
N2—H2B···O50.902.653.212 (4)121
N3—H3A···O60.902.323.162 (4)156
N3—H3B···O7i0.902.553.196 (4)129
N3—H3B···O2ii0.902.613.407 (4)148
N4—H4AA···O10.902.283.100 (4)152
N4—H4AB···O60.892.383.224 (4)158
N4—H4BA···O10.892.283.100 (4)153
N4—H4BB···O50.902.443.232 (5)147
N6—H6A···O8iii0.902.513.172 (4)131
N6—H6B···O20.902.243.138 (4)176
Symmetry codes: (i) x, y1, z; (ii) x+1/2, y1/2, z1/2; (iii) x+1/2, y1/2, z+1/2.
 

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