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In the title compound, cis-[Pd(C5H14NP)2]Cl2·CH4O, the coordination geometry around the PdII center is distorted square planar, with a cis-P2N2 configuration of the two chelating (3-amino­prop­yl)dimethyl­phosphine (pdmp) ligands. The six-membered pdmp chelate rings adopt chair conformations, and pairing of the chairs designates the complex cation as a (Cs)-chair2 conformer. The distances between the PdII center and the Cl- anions are greater than 4.5 Å, indicating no obvious inter­action.

Supporting information

cif

Crystallographic Information File (CIF) https://doi.org/10.1107/S0108270106023596/ob3009sup1.cif
Contains datablocks global, I

hkl

Structure factor file (CIF format) https://doi.org/10.1107/S0108270106023596/ob3009Isup2.hkl
Contains datablock I

CCDC reference: 625670

Comment top

In transition-metal complexes with chelating ligands, the chelate ring size, i.e. the number of backbone C atoms between two ligating atoms, often exerts severe effects on the thermal stabilities, molecular structures and chemical reactivities of the complexes (Stoppioni et al., 1982; Poverenov et al., 2005). Aminoalkylphosphines are bidentate ligands that can vary the chelate ring sizes, and their metal complexes have recently attracted much interest in application as effective homogeneous catalysts (Müller et al., 2002; Andrieu et al., 2006). We have previously prepared a number of transition metal complexes bearing (2-aminoethyl)dimethylphosphine (edmp, NH2CH2CH2PMe2), which is one of the most fundamental and less sterically demanding of the aminoalkylphosphines, forming a five-membered chelate ring (Kashiwabara et al., 1997; Suzuki et al., 1994, 1996; Kita et al., 1994; Kinoshita et al., 1980, 1981). In contrast, to our knowledge, there have so far been no reports on the metal complexes of (3-aminopropyl)dimethylphosphine (pdmp, NH2CH2CH2CH2PMe2), which gives the corresponding six-membered amine–phosphine chelate ring. In the present study, we have prepared the first example of a pdmp complex of palladium(II), cis-[Pd(pdmp)2]Cl2·MeOH, (I), and compared the crystal structure with those of the analogous edmp and related complexes.

The analysis revealed that the PdII complex cation in (I) possesses two chelating pdmp ligands in a cis-P2N2 configuration (Fig. 1). The chelate bite angles of pdmp are 86.40 (5)–88.54 (6)° (Table 1), which are larger than those of edmp in cis-[Pd(edmp)2]Cl(BF4), (II) [83.9 (3)–84.5 (3)°; Suzuki et al., 1996]. This fact infers that the steric interaction between mutually cis-positioned –PMe2 groups is somewhat larger in (I) than in (II). In general, in four-coordinate square-planar complexes, the trans-P2N2 isomer is advantageous in regard to the intramolecular steric congestion arising from the bulky substituents on P atoms, but the strong trans influence of the phosphines tends to stabilize the cis-P2N2 configuration. The preferential formation of the cis-isomer in complex (I) indicates that the trans influence of the –PMe2 group is still the primary effect for determining the complex geometry, even in the sterically more demanding pdmp six-membered chelate ring system. The coordination geometry around the PdII center is significantly distorted from square-planar. The dihedral angle between the Pd/P1/N1 and Pd/P2/N2 planes is 14.5 (1)°. This tetrahedral distortion of the PdII coordination geometry is much larger than that observed in the related 8-dimethylphosphinoquinoline (Me2Pqn) complex cis-[Pd(Me2Pqn)2](BF4)2 (the corresponding dihedral angle is 10.3°), where a severe steric repulsion was expected between ortho-H atoms of mutually cis-positioned quinolyl donor groups (Suzuki et al., 1995). It is noteworthy that the edmp complex (II) adopts an almost planar PdP2N2 coordination (Suzuki et al., 1996). In (I), each six-membered pdmp chelate ring takes a chair conformation, and a pair of chairs designate the complex cation as a (Cs)-chair2 conformer. This is in contrast to a similar (3-aminopropyl)diphenylphosphine complex of cis-[Pt(H2NCH2CH2CH2PPh2)2]Cl, which was characterized as a (C2)-chair2 conformer (Habtemariam et al., 2001). In the (Cs)-chair2 conformer, greater steric congestion is expected between the substituents on the mutually cis-positioned P donor atoms than in the (C2)-chair2 conformer. In fact, the C1···C6 distance is 3.257 (3) Å, and the closest H···H contact between the two methyl groups is 2.29 Å for H1C···H6A, which is nearly the sum of the van der Waals radii of two H atoms (2.44 Å).

The Pd—P and Pd—N bond lengths in (I) (Table 1) are comparable to those in (II) [Pd—P = 2.243 (3)–2.248 (3) Å and Pd—N = 2.123 (10)–2.153 (10) Å]. One of the most intriguing differences in the crystal structures of (I) and (II) is the location of the Cl anion(s). In (II), the anion is located above the PdII coordination plane with a Pd···Cl distance of 3.166 (3) Å, indicating a weak interaction between these atoms. In the crystal structure of cis-[Pd(Ph2Pqn)2]Cl2 (Ph2Pqn is 8-diphenylphosphinoquinoline), the two Cl anions are located above and below the PdII coordination plane, with Pd···Cl distances of 3.262 (3) and 3.386 (3) Å (Suzuki, 2004). In contrast to these compounds, complex (I) does not exhibit any interaction between the PdII center and Cl anions (> 4.5 Å), although one side of the PdII coordination plane is sterically open for such an interaction. Instead, the hydrogen-bonding interactions between the coordinated amino groups of pdmp ligands and Cl counter anions are effective in (I) (Table 2). It is expected that these hydrogen bonds stabilize the less preferable (Cs)-chair2 conformer. The methanol molecule is hydrogen-bonded to atom Cl1 and not coordinated to the Pd atom, the Pd1···O1 distance being 3.800 (2) Å.

Experimental top

The compound (I) was prepared by a reaction of [PdCl2(C6H5CN)2] (283 mg, 0.74 mmol) and pdmp (0.25 ml, 2.1 mmol) in acetonitrile. The crude product obtained by evaporation of the solvent was purified by Sephadex LH-20 column chromatography using methanol as an eluant. Evaporation of the solvent from the eluate left a white powder of [Pd(pdmp)2]Cl2·MeOH·H2O (yield 223 mg, 55%). Analysis, calculated for C10H28Cl2N2P2Pd·CH4O·H2O: C 28.4, H 7.36, N 6.02%; found: C 28.6, H 7.33, N 6.01%. When the compound was recrystallized from dimethyl sulfoxide by vapor diffusion of diethyl ether, colorless needle-shaped crystals of the monohydrate were afforded. Analysis, calculated for C10H28Cl2N2P2Pd·H2O: C 27.7, H 6.97, N 6.46%; found: C 27.9, H 6.80, N 6.49%. Crystals of the methanol solvate, (I), suitable for X-ray analysis were deposited by vapor diffusion of diethyl ether into a methanol solution.

Refinement top

H atoms bonded to the C and N atoms were positioned geometrically and constrained to ride on their parent atoms, with C—H = 0.98 and 0.99 Å, N–H = 0.92 Å, and Uiso(H) = 1.2Ueq(C,N). The hydroxy H atom of the methanol molecule was located in a difference map and refined isotropically.

Computing details top

Data collection: CrystalClear (Rigaku, 2001); cell refinement: CrystalClear; data reduction: CrystalStructure (Rigaku/MSC, 2004); program(s) used to solve structure: SIR92 (Altomare et al., 1994); program(s) used to refine structure: SHELXL97 (Sheldrick, 1997); molecular graphics: ORTEP-3 for Windows (Farrugia, 1997); software used to prepare material for publication: SHELXL97.

Figures top
[Figure 1] Fig. 1. An ORTEP-3 (Farrugia, 1997) view of the cationic complex in (I), showing the atom-labeling scheme. Displacement ellipsoids are drawn at the 50% probability level.
cis-Bis[(3-aminopropyl)dimethylphosphine-κ2N,P]palladium(II) dichloride methanol solvate top
Crystal data top
[Pd(C5H14NP)2]Cl2·CH4OF(000) = 920
Mr = 447.65Dx = 1.549 Mg m3
Monoclinic, P21/cMo Kα radiation, λ = 0.71070 Å
Hall symbol: -P 2ybcCell parameters from 5814 reflections
a = 9.904 (6) Åθ = 3.0–27.5°
b = 9.654 (6) ŵ = 1.41 mm1
c = 20.130 (13) ÅT = 193 K
β = 94.228 (11)°Prism, colorless
V = 1920 (2) Å30.20 × 0.10 × 0.10 mm
Z = 4
Data collection top
Rigaku Mercury
diffractometer
4289 independent reflections
Graphite monochromator4026 reflections with I > 2σ(I)
Detector resolution: 7.31 pixels mm-1Rint = 0.024
ω scansθmax = 27.5°, θmin = 3.1°
Absorption correction: multi-scan
(Jacobson, 1998)
h = 1212
Tmin = 0.766, Tmax = 0.872k = 1210
14453 measured reflectionsl = 2623
Refinement top
Refinement on F2Primary atom site location: structure-invariant direct methods
Least-squares matrix: fullSecondary atom site location: difference Fourier map
R[F2 > 2σ(F2)] = 0.029Hydrogen site location: inferred from neighbouring sites
wR(F2) = 0.056H atoms treated by a mixture of independent and constrained refinement
S = 1.11 w = 1/[σ2(Fo2) + (0.0206P)2 + 1.828P]
where P = (Fo2 + 2Fc2)/3
4289 reflections(Δ/σ)max = 0.004
177 parametersΔρmax = 0.57 e Å3
0 restraintsΔρmin = 0.49 e Å3
Crystal data top
[Pd(C5H14NP)2]Cl2·CH4OV = 1920 (2) Å3
Mr = 447.65Z = 4
Monoclinic, P21/cMo Kα radiation
a = 9.904 (6) ŵ = 1.41 mm1
b = 9.654 (6) ÅT = 193 K
c = 20.130 (13) Å0.20 × 0.10 × 0.10 mm
β = 94.228 (11)°
Data collection top
Rigaku Mercury
diffractometer
4289 independent reflections
Absorption correction: multi-scan
(Jacobson, 1998)
4026 reflections with I > 2σ(I)
Tmin = 0.766, Tmax = 0.872Rint = 0.024
14453 measured reflections
Refinement top
R[F2 > 2σ(F2)] = 0.0290 restraints
wR(F2) = 0.056H atoms treated by a mixture of independent and constrained refinement
S = 1.11Δρmax = 0.57 e Å3
4289 reflectionsΔρmin = 0.49 e Å3
177 parameters
Fractional atomic coordinates and isotropic or equivalent isotropic displacement parameters (Å2) top
xyzUiso*/Ueq
Pd10.131986 (15)0.160063 (16)0.858658 (8)0.01466 (5)
Cl10.08812 (6)0.22209 (7)1.09481 (4)0.03748 (16)
Cl20.28040 (5)0.21397 (6)0.74459 (3)0.02358 (12)
P10.06790 (5)0.38268 (6)0.86807 (3)0.01779 (12)
P20.34122 (5)0.20145 (6)0.82568 (3)0.01845 (12)
O10.3435 (2)0.2723 (3)1.01453 (11)0.0466 (5)
N10.07272 (17)0.09998 (19)0.87006 (9)0.0178 (4)
H1A0.12300.12840.83230.021*
H1B0.07460.00470.87000.021*
N20.19239 (18)0.05356 (19)0.86717 (10)0.0204 (4)
H2A0.12000.10470.87960.024*
H2B0.21310.08450.82590.024*
C10.1862 (2)0.5102 (2)0.90242 (12)0.0251 (5)
H1C0.24210.54340.86750.030*
H1D0.24450.46840.93850.030*
H1E0.13650.58820.92000.030*
C20.0048 (3)0.4576 (3)0.79215 (13)0.0314 (6)
H2C0.03290.55290.80050.038*
H2D0.08370.40310.77560.038*
H2E0.06250.45770.75880.038*
C30.0585 (2)0.3924 (3)0.93015 (13)0.0277 (5)
H3A0.01150.37330.97430.033*
H3B0.09130.48920.93110.033*
C40.1815 (2)0.2986 (3)0.92226 (13)0.0282 (5)
H4A0.24360.32230.95690.034*
H4B0.22990.31610.87830.034*
C50.1464 (2)0.1462 (2)0.92778 (12)0.0214 (5)
H5A0.08940.12960.96950.026*
H5B0.23050.09140.92970.026*
C60.4182 (2)0.3695 (3)0.81771 (16)0.0350 (6)
H6A0.43350.41190.86190.042*
H6B0.35790.42870.78920.042*
H6C0.50490.35910.79770.042*
C70.3478 (2)0.1295 (3)0.74282 (12)0.0270 (5)
H7A0.28620.18120.71150.032*
H7B0.32040.03200.74310.032*
H7C0.44040.13650.72900.032*
C80.4685 (2)0.1108 (2)0.87809 (12)0.0236 (5)
H8A0.55700.12290.85890.028*
H8B0.47510.15510.92260.028*
C90.4443 (2)0.0439 (3)0.88725 (13)0.0264 (5)
H9A0.44790.09010.84350.032*
H9B0.51910.08170.91720.032*
C100.3105 (2)0.0805 (3)0.91562 (12)0.0270 (5)
H10A0.31140.17960.92820.032*
H10B0.30060.02530.95640.032*
C110.4144 (3)0.3670 (3)1.05687 (16)0.0441 (7)
H11A0.35830.44931.06230.053*
H11B0.49840.39411.03750.053*
H11C0.43610.32391.10040.053*
H010.278 (4)0.251 (4)1.0322 (19)0.054 (11)*
Atomic displacement parameters (Å2) top
U11U22U33U12U13U23
Pd10.01377 (8)0.01199 (8)0.01851 (9)0.00047 (6)0.00314 (5)0.00001 (6)
Cl10.0297 (3)0.0185 (3)0.0644 (5)0.0022 (2)0.0048 (3)0.0067 (3)
Cl20.0218 (2)0.0230 (3)0.0259 (3)0.0009 (2)0.0020 (2)0.0007 (2)
P10.0167 (2)0.0126 (3)0.0242 (3)0.00069 (19)0.0029 (2)0.0009 (2)
P20.0144 (2)0.0163 (3)0.0252 (3)0.0003 (2)0.0052 (2)0.0014 (2)
O10.0454 (13)0.0586 (15)0.0365 (12)0.0079 (11)0.0068 (10)0.0012 (10)
N10.0160 (8)0.0138 (9)0.0239 (9)0.0002 (7)0.0030 (7)0.0004 (7)
N20.0172 (8)0.0165 (10)0.0280 (10)0.0014 (7)0.0052 (7)0.0005 (8)
C10.0253 (11)0.0202 (12)0.0295 (13)0.0000 (9)0.0001 (9)0.0040 (10)
C20.0334 (13)0.0248 (13)0.0342 (14)0.0014 (10)0.0100 (10)0.0082 (11)
C30.0292 (12)0.0221 (12)0.0325 (13)0.0007 (10)0.0081 (10)0.0048 (10)
C40.0284 (12)0.0254 (13)0.0321 (13)0.0032 (10)0.0117 (10)0.0020 (10)
C50.0193 (10)0.0216 (12)0.0244 (11)0.0011 (8)0.0083 (8)0.0026 (9)
C60.0250 (12)0.0211 (13)0.0610 (18)0.0025 (9)0.0170 (12)0.0031 (12)
C70.0213 (11)0.0359 (14)0.0245 (12)0.0010 (9)0.0066 (9)0.0008 (10)
C80.0170 (10)0.0246 (12)0.0288 (12)0.0001 (8)0.0001 (9)0.0004 (10)
C90.0208 (10)0.0247 (13)0.0330 (13)0.0046 (9)0.0031 (9)0.0039 (10)
C100.0255 (11)0.0259 (13)0.0293 (13)0.0024 (9)0.0002 (9)0.0088 (10)
C110.0426 (16)0.0374 (17)0.0525 (19)0.0054 (13)0.0045 (14)0.0114 (14)
Geometric parameters (Å, º) top
Pd1—N12.137 (2)C3—H3A0.9900
Pd1—N22.151 (2)C3—H3B0.9900
Pd1—P12.2528 (13)C4—C51.514 (3)
Pd1—P22.2577 (14)C4—H4A0.9900
P1—C21.793 (3)C4—H4B0.9900
P1—C11.802 (2)C5—H5A0.9900
P1—C31.835 (3)C5—H5B0.9900
P2—C61.804 (3)C6—H6A0.9800
P2—C81.809 (2)C6—H6B0.9800
P2—C71.812 (3)C6—H6C0.9800
O1—C111.403 (4)C7—H7A0.9800
O1—H010.79 (4)C7—H7B0.9800
N1—C51.485 (3)C7—H7C0.9800
N1—H1A0.9200C8—C91.525 (3)
N1—H1B0.9200C8—H8A0.9900
N2—C101.489 (3)C8—H8B0.9900
N2—H2A0.9200C9—C101.523 (3)
N2—H2B0.9200C9—H9A0.9900
C1—H1C0.9800C9—H9B0.9900
C1—H1D0.9800C10—H10A0.9900
C1—H1E0.9800C10—H10B0.9900
C2—H2C0.9800C11—H11A0.9800
C2—H2D0.9800C11—H11B0.9800
C2—H2E0.9800C11—H11C0.9800
C3—C41.517 (3)
N1—Pd1—N289.53 (7)C5—C4—C3113.2 (2)
N1—Pd1—P188.54 (6)C5—C4—H4A108.9
N2—Pd1—P1170.58 (5)C3—C4—H4A108.9
N1—Pd1—P2167.98 (5)C5—C4—H4B108.9
N2—Pd1—P286.40 (5)C3—C4—H4B108.9
P1—Pd1—P297.26 (3)H4A—C4—H4B107.7
C2—P1—C1105.09 (12)N1—C5—C4110.96 (18)
C2—P1—C3107.97 (13)N1—C5—H5A109.4
C1—P1—C399.24 (12)C4—C5—H5A109.4
C2—P1—Pd1114.27 (10)N1—C5—H5B109.4
C1—P1—Pd1120.31 (9)C4—C5—H5B109.4
C3—P1—Pd1108.47 (8)H5A—C5—H5B108.0
C6—P2—C8101.89 (13)P2—C6—H6A109.5
C6—P2—C7102.62 (13)P2—C6—H6B109.5
C8—P2—C7106.29 (12)H6A—C6—H6B109.5
C6—P2—Pd1126.02 (8)P2—C6—H6C109.5
C8—P2—Pd1110.99 (9)H6A—C6—H6C109.5
C7—P2—Pd1107.40 (8)H6B—C6—H6C109.5
C11—O1—H01107 (3)P2—C7—H7A109.5
C5—N1—Pd1121.82 (14)P2—C7—H7B109.5
C5—N1—H1A106.9H7A—C7—H7B109.5
Pd1—N1—H1A106.9P2—C7—H7C109.5
C5—N1—H1B106.9H7A—C7—H7C109.5
Pd1—N1—H1B106.9H7B—C7—H7C109.5
H1A—N1—H1B106.7C9—C8—P2115.78 (16)
C10—N2—Pd1114.83 (15)C9—C8—H8A108.3
C10—N2—H2A108.6P2—C8—H8A108.3
Pd1—N2—H2A108.6C9—C8—H8B108.3
C10—N2—H2B108.6P2—C8—H8B108.3
Pd1—N2—H2B108.6H8A—C8—H8B107.4
H2A—N2—H2B107.5C10—C9—C8114.9 (2)
P1—C1—H1C109.5C10—C9—H9A108.5
P1—C1—H1D109.5C8—C9—H9A108.5
H1C—C1—H1D109.5C10—C9—H9B108.5
P1—C1—H1E109.5C8—C9—H9B108.5
H1C—C1—H1E109.5H9A—C9—H9B107.5
H1D—C1—H1E109.5N2—C10—C9112.2 (2)
P1—C2—H2C109.5N2—C10—H10A109.2
P1—C2—H2D109.5C9—C10—H10A109.2
H2C—C2—H2D109.5N2—C10—H10B109.2
P1—C2—H2E109.5C9—C10—H10B109.2
H2C—C2—H2E109.5H10A—C10—H10B107.9
H2D—C2—H2E109.5O1—C11—H11A109.5
C4—C3—P1118.74 (18)O1—C11—H11B109.5
C4—C3—H3A107.6H11A—C11—H11B109.5
P1—C3—H3A107.6O1—C11—H11C109.5
C4—C3—H3B107.6H11A—C11—H11C109.5
P1—C3—H3B107.6H11B—C11—H11C109.5
H3A—C3—H3B107.1
N1—Pd1—P1—C282.88 (11)P1—Pd1—N1—C554.23 (15)
P2—Pd1—P1—C286.55 (10)P2—Pd1—N1—C5173.37 (18)
N1—Pd1—P1—C1150.65 (11)N1—Pd1—N2—C10130.64 (16)
P2—Pd1—P1—C139.91 (10)P2—Pd1—N2—C1060.67 (15)
N1—Pd1—P1—C337.61 (10)C2—P1—C3—C471.4 (2)
P2—Pd1—P1—C3152.95 (9)C1—P1—C3—C4179.3 (2)
N1—Pd1—P2—C6121.7 (3)Pd1—P1—C3—C452.9 (2)
N2—Pd1—P2—C6167.89 (14)P1—C3—C4—C563.9 (3)
P1—Pd1—P2—C63.39 (13)Pd1—N1—C5—C472.0 (2)
N1—Pd1—P2—C8114.8 (3)C3—C4—C5—N168.3 (3)
N2—Pd1—P2—C844.40 (10)C6—P2—C8—C9171.83 (19)
P1—Pd1—P2—C8126.88 (9)C7—P2—C8—C964.7 (2)
N1—Pd1—P2—C71.0 (3)Pd1—P2—C8—C951.7 (2)
N2—Pd1—P2—C771.39 (11)P2—C8—C9—C1057.3 (3)
P1—Pd1—P2—C7117.33 (9)Pd1—N2—C10—C978.6 (2)
N2—Pd1—N1—C5116.55 (16)C8—C9—C10—N270.1 (3)
Hydrogen-bond geometry (Å, º) top
D—H···AD—HH···AD···AD—H···A
N1—H1A···Cl20.922.413.325 (3)171
N1—H1B···Cl1i0.922.313.195 (3)162
N2—H2A···Cl1i0.922.443.356 (3)174
N2—H2B···Cl2ii0.922.533.339 (3)147
O1—H01···Cl10.79 (4)2.36 (4)3.138 (3)171 (3)
Symmetry codes: (i) x, y, z+2; (ii) x, y1/2, z+3/2.

Experimental details

Crystal data
Chemical formula[Pd(C5H14NP)2]Cl2·CH4O
Mr447.65
Crystal system, space groupMonoclinic, P21/c
Temperature (K)193
a, b, c (Å)9.904 (6), 9.654 (6), 20.130 (13)
β (°) 94.228 (11)
V3)1920 (2)
Z4
Radiation typeMo Kα
µ (mm1)1.41
Crystal size (mm)0.20 × 0.10 × 0.10
Data collection
DiffractometerRigaku Mercury
diffractometer
Absorption correctionMulti-scan
(Jacobson, 1998)
Tmin, Tmax0.766, 0.872
No. of measured, independent and
observed [I > 2σ(I)] reflections
14453, 4289, 4026
Rint0.024
(sin θ/λ)max1)0.649
Refinement
R[F2 > 2σ(F2)], wR(F2), S 0.029, 0.056, 1.11
No. of reflections4289
No. of parameters177
H-atom treatmentH atoms treated by a mixture of independent and constrained refinement
Δρmax, Δρmin (e Å3)0.57, 0.49

Computer programs: CrystalClear (Rigaku, 2001), CrystalClear, CrystalStructure (Rigaku/MSC, 2004), SIR92 (Altomare et al., 1994), SHELXL97 (Sheldrick, 1997), ORTEP-3 for Windows (Farrugia, 1997), SHELXL97.

Selected geometric parameters (Å, º) top
Pd1—N12.137 (2)Pd1—P12.2528 (13)
Pd1—N22.151 (2)Pd1—P22.2577 (14)
N1—Pd1—N289.53 (7)N1—Pd1—P2167.98 (5)
N1—Pd1—P188.54 (6)N2—Pd1—P286.40 (5)
N2—Pd1—P1170.58 (5)P1—Pd1—P297.26 (3)
Hydrogen-bond geometry (Å, º) top
D—H···AD—HH···AD···AD—H···A
N1—H1A···Cl20.922.413.325 (3)171
N1—H1B···Cl1i0.922.313.195 (3)162
N2—H2A···Cl1i0.922.443.356 (3)174
N2—H2B···Cl2ii0.922.533.339 (3)147
O1—H01···Cl10.79 (4)2.36 (4)3.138 (3)171 (3)
Symmetry codes: (i) x, y, z+2; (ii) x, y1/2, z+3/2.
 

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