Ni₂Sn₂Zn from single-crystal X-ray diffraction

Dinickel ditin zinc, Ni₂Sn₂Zn, crystallizes in the cubic space group , with a lattice parameter of a = 8.845 (1) Å and with all atoms occupying special positions. The crystal structure exhibits pronounced similarities with that of the quaternary compound Ni_5.20Sn_8.7Zn_4.16Cu_1.04. It shares structural features with other compounds in the Ni-Sn-Zn system, such as Ni₅Sn₄Zn and Ni₃Sn₂.

S1. Comment

The title compound, with the simplified composition Ni₂Sn₂Zn, crystallizes in the cubic system in space group Pm3m [a = 8.845 (1) Å]. This compound was found during an investigation of the phase equilibria of the ternary Ni—Sn—Zn phase diagram in samples quenched from 973 K (Schmetterer et al., 2011). Yuan et al. (2011) and Liang et al. (2011) also noticed the existence of compounds with similar compositions at 873 and 773 K, respectively.

As is common in intermetallic compounds, the title compound exhibits a considerable homogeneity range. According to Schmetterer et al. (2011) this is Ni_35–38Sn_35–43Zn₂₆ at 973 K; they used the designation Ni₇Sn₉Zn₅ based on their experiments. In the present work, a crystal was isolated from a sample from the work of Yuan et al. (2011) which had been quenched from 873 K. The stoichiometry obtained from the refinement, Ni_36.6Sn_41.9Zn_21.5, is in good agreement with energy-dispersive X-ray spectroscopy (EDX) results for this compound [Ni₃₆Sn_42.5Zn_21.5, sample 27 in Table 1 of Yuan et al. (2011)]. In the end, Ni₂Sn₂Zn was chosen to denote this compound, because this composition lies in the middle of the reported homogeneity range [Fig. 1 of Yuan et al. (2011)] and also approximates the composition of the investigated crystal.

Of course, the distribution of the elements on the crystallographic sites cannot be established using conventional X-ray diffraction techniques alone, due to the similar scattering power of Ni and Zn. Crystal-chemical considerations (e.g. interatomic distances) and EDX results (see above) were therefore used to guide the distribution of the atoms on the various sites. The final refinement and the chosen allocation of the elements are in good agreement with the EDX results.

Fig. 1 shows the unit cell when viewed along the cubic axis and the environments of atoms Ni1 and Ni2. The crystal structure consists of Ni atoms forming a body-centred cubic (b.c.c.) sublattice (sites Ni1 and Ni2), while the Ni3 atoms form squares in (xy1/2). These three positions are most probably fully occupied, at least predominantly, by Ni atoms. Only for the Ni2 site does a partial admixture with Zn and/or Sn seem possible: the highest residual electron density in the final difference Fourier map of 1.17 e Å^-3 is found at this site. However, the introduction of a mixed occupation did not result in any improvement of the structural refinement. The Sn atoms were allocated to three sites. Whereas the Sn1 site is fully occupied by Sn atoms, the Sn2/Zn2 and Sn3/Zn3 positions have mixed occupations. Moreover, the necessity of avoiding large anisotropies in the displacement parameters and obtaining improved results for the refinement required the introduction of split positions in these last two cases. The distances between the Sn and Zn atoms are 0.214 and 0.475 Å, respectively, accounting for the different volume requirements of Sn and Zn atoms. Simultaneous occupation of both Sn2 and Zn2 and Sn3 and Zn3 is impossible. The Sn1 atoms form a regular octahedron around the Ni1 atoms. The Ni2 atoms are coordinated by eight Zn2 sites and four additional Sn2 sites, whereas the Ni3 atoms are surrounded by four Zn3, four Sn3, two Sn2 and two Sn1 sites. It must be considered that the Sn2, Zn2, Sn3 and Zn3 sites are only partially occupied; the sum of the occupancies Sn2+Zn2 and Sn3+Zn3 was constrained to 1.0 in the refinement. Therefore, the maximum coordination number of atoms Ni2 and Ni3 is 8.

High residual electron densities encountered during the refinement led to the consideration of two further positions, designated M4 and M5. However, these positions are only marginally occupied and their occupation varies between the various single-crystal refinements investigated in this work. Nevertheless, they were found in all refinements of the investigated samples. Experimental allocation of any of the three elements Ni, Zn or Sn failed in the refinement. Due to the fact that these sites are surrounded by Zn and Sn atoms, similar to the Ni1, Ni2 and Ni3 sites, occupation by Ni atoms seems reasonable. Consequently, for the final refinements the scattering power of Ni was considered. Simultaneous occupation of neighbouring Sn3 sites is impossible [distance 2.330 (3) Å], as is that of neighbouring M4 and Sn2 sites [2.200 (7) Å] or neighbouring M5 and Sn3 sites [2.34 (4) Å].

Larsson et al. (1994) reported the existence of the quaternary compound Ni_5.20Sn_8.7Zn_4.16Cu_1.04 having cubic P43m symmetry and being related to the γ-brass structure. It is topologically related to the CsCl type, exhibiting a tripled cell parameter, vacancies and extensive distortions. A comparison of the crystal structures found for the Ni₂Sn₂Zn and Ni_5.20Sn_8.7Zn_4.16Cu_1.04 compounds reveals many similarities. The atomic arrangement is practically identical, including the mixed and split Sn/Zn positions. It must be noted that Larsson et al. (1994) could not assign Ni, Cu or Zn to these positions, due to the similar scattering power of these atoms and the somewhat less accurate refinement compared with the present work; hence, we have here denoted these positions as M.

The main difference between the two crystal structure refinements is the space-group symmetry used for the final structure refinement. Whereas Larsson et al. (1994) refined Ni_5.20Sn_8.7Zn_4.16Cu_1.04 in the acentric space group P43m, the present investigation is based on the centrosymmetric space group Pm3m. Any trials to verify acentric symmetry during the present work did not improve the refinement. It must be mentioned that, although Larsson et al. (1994) reduced the space-group symmetry, they could not give an ordered structure model. Larsson et al. (1994) used the atom labels Sn1*/Sn2*/M*, Sn3*, M1*, M2*, M3* and Sn4*/M4*, which are allocated here as Zn2, Sn1, Ni1, Ni2, Ni3 and Sn3/Zn3, respectively [throughout this paper, atom labels referring to those given by Larsson et al. (1994) are marked by an asterisk]. Furthermore, the two marginally occupied positions M4 and M5 in Ni₂Sn₂Zn are completely missing in Ni_5.20Sn_8.7Zn_4.16Cu_1.04.

The description of Ni_5.20Sn_8.7Zn_4.16Cu_1.04 in the acentric space group P43m by Larsson et al. (1994) causes a minor deviation of the z coordinates of sites xxz from 0.0 and 0.5 for the positions M3*, Sn4* and M4*. In the centrosymmetric space group Pm3m used for the description of Ni₃Sn₃Zn₂ in the present work, the analogous positions Ni3, Sn3 and Zn3 have special positions 1/2yy and 0yy with one variable atomic coordinate only, but the site multiplicities are maintained. The two sites Sn1* and Sn2/M* in Ni_5.20Sn_8.7Zn_4.16Cu_1.04 verify centrosymmetry within the limits of error of the atomic coordinates; only occupation by Sn and Sn+M atoms, respectively, causes violation of the inversion centre. In Ni₃Sn₃Zn₂, the two analogous sites have doubled site multiplicity; neighbouring sites cannot be simultaneously occupied, which again causes a total of eight atoms per unit cell. A more detailed discussion of this issue, including a new refinement of Ni_5.20Sn_8.7Zn_4.16Cu_1.04 in a centrosymmetric space group, is given by Effenberger et al. (2012).

In Ni₂Sn₂Zn and Ni_5.20Sn_8.7Zn_4.16Cu_1.04 the Ni atoms, allocated according to crystal chemical considerations, are coordinated by an Sn₆ octahedron (Ni1, M1*) and by an Sn₈ cube (Ni2, M2*), respectively (see Fig. 1). The coordination polyhedron around atom Ni1 is capped by the minor occupied M4 site in Ni₂Sn₂Zn. The Ni3/M3* site is surrounded in a nearly planar [4] coordination by Zn3/Sn3 sites, and completed by further Sn2 and Sn1 sites. As has already been pointed out, other compounds with quite similar compositions exist in the Ni–Sn–Zn system. The Ni_5-δSn₄Zn structure (δ ~0.25) was reported by Schmetterer et al. (2012). It was compared extensively with the Ni₃Sn₂ high-temperature phase, which crystallizes in the NiAs type and is considered the parent phase. In both structures, the Ni (and Zn) atoms are also coordinated by more or less distorted Sn₆ octahedra. Again, a number of faces of these octahedra are capped by Ni atoms. In Ni_5-δSn₄Zn, several variations to the capping were found, while in Ni₃Sn₂ all faces are formally capped. Six of these are Ni2 atoms exhibiting only partial occupancy.

The octahedron around the Ni atoms, formed by six Sn atoms, is a common building unit of various structures in these classes of compounds. While this octahedral coordination is basically common, the different ways of capping are the varying feature, and a more detailed study appears to be worthwhile based on further structural investigations.

Related literature

For related literature, see: Effenberger et al. (2012); Larsson et al. (1994); Liang et al. (2011); Schmetterer et al. (2011, 2012); Yuan et al. (2011).

S2. Experimental

For the present investigation of the atomic arrangement of the title compound, a large number of single crystals were checked for their suitability for data collection. These single crystals were isolated from bulk samples wherein the presence of the title compound had been confirmed by powder X-ray diffraction (Bruker D8 powder diffractometer, Bragg–Brentano geometry, Cu Kα radiation). Finally, a crystal isolated from a sample provided by Yuan et al. (2011) and quenched from 873 K was selected because it showed the best quality for data collection.

The authors are aware of the similar scattering power of the atoms Ni and Zn using a conventional X-ray source. The final crystal-chemical considerations are in agreement with results from other Ni–Zn–Sn compounds, and furthermore correspond to the experimentally found composition range determined by scanning electron microscope analyses.

Computing details

Data collection: COLLECT (Nonius, 2003); cell refinement: COLLECT (Nonius, 2003); data reduction: COLLECT (Nonius, 2003); program(s) used to solve structure: SHELXS97 (Sheldrick, 2008); program(s) used to refine structure: SHELXL97 (Sheldrick, 2008); molecular graphics: Atoms (Dowty, 2006); software used to prepare material for publication: SHELXL97 (Sheldrick, 2008).

Figures

Fig. 1. (Right) The topology of the atomic arrangement in Ni2Zn2Sn, based on the linkage of the building blocks, in a projection parallel to [001], and (left) the body-centred coordination of atoms Ni1 and Ni2. For the split sites Sn2/Zn2 and Sn3/Zn3, only the area in the projection is indicated. The minor occupation factor of the sites Ni4 (0.113) and Ni5 (0.022) should be considered.

Dinickel ditin zinc

Crystal data

Ni2Sn2Zn	Dx = 8.40 Mg m^−3
Mr = 437.62	Mo Kα radiation, λ = 0.71073 Å
Cubic, Pm3m	Cell parameters from 1030 reflections
Hall symbol: -P 4 2 3	θ = 2.3–34.9°
a = 8.845 (1) Å	µ = 32.6 mm^−1
V = 691.98 (14) Å^3	T = 293 K
Z = 8	Irregular crystal chip, black
F(000) = 1546	0.09 × 0.07 × 0.06 mm

Data collection

Nonius Kappa CCD area-detector diffractometer	360 independent reflections
Radiation source: fine-focus sealed tube	347 reflections with I > 2σ(I)
Graphite monochromator	Rint = 0.011
ϕ scan at 10 ω angles	θmax = 34.9°, θmin = 2.3°
Absorption correction: multi-scan 120 s, Δ = 2°, dx = 30 mm	h = −14→14
Tmin = 0.06, Tmax = 0.14	k = −10→10
1030 measured reflections	l = −9→9

Refinement

Refinement on F^2	Primary atom site location: structure-invariant direct methods
Least-squares matrix: full	Secondary atom site location: difference Fourier map
R[F^2 > 2σ(F^2)] = 0.017	w = 1/[σ^2(Fo^2) + (0.017P)^2 + 1.P] where P = (Fo^2 + 2Fc^2)/3
wR(F^2) = 0.041	(Δ/σ)max < 0.001
S = 1.40	Δρmax = 1.17 e Å^−3
360 reflections	Δρmin = −1.38 e Å^−3
36 parameters	Extinction correction: SHELXL97 (Sheldrick, 2008), Fc^*=kFc[1+0.001xFc^2λ^3/sin(2θ)]^-1/4
1 restraint	Extinction coefficient: 0.0173 (6)

Special details

Experimental. Single-crystal X-ray diffraction measurements were performed at room temperature on a Nonius KappaCCD diffractometer equipped with a monocapillary optics collimator (graphite-monochromated Mo Ka radiation). The measured intensities were corrected for Lorentz, background and polarization effects, and for absorption by evaluation of multi-scans. The crystal structure was solved using SHELXS97 (Sheldrick, 2008), and refined by full-matrix least-squares techniques on F² using SHELXL97 (Sheldrick, 2008).

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 > 2σ(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 (Ų)

	x	y	z	Uiso*/Ueq	Occ. (<1)
Sn1	0.20948 (4)	0.5000	0.5000	0.01300 (13)
Sn2	0.1744 (2)	0.1744 (2)	0.1744 (2)	0.01202 (19)	0.846 (6)
Zn2	0.1604 (15)	0.1604 (15)	0.1604 (15)	0.021 (5)	0.154 (6)
Sn3	0.5000	0.13169 (18)	0.13169 (18)	0.0124 (3)	0.368 (6)
Zn3	0.5000	0.1697 (3)	0.1697 (3)	0.0213 (3)	0.632 (6)
Ni1	0.0000	0.0000	0.0000	0.0094 (3)
Ni2	0.5000	0.5000	0.5000	0.0065 (2)
Ni3	0.0000	0.34686 (4)	0.34686 (4)	0.00917 (12)
Ni4	0.3180 (4)	0.3180 (4)	0.3180 (4)	0.0123 (13)	0.123 (4)
Ni5	0.311 (7)	0.0000	0.0000	0.014 (13)*	0.015 (5)

Atomic displacement parameters (Ų)

	U^11	U^22	U^33	U^12	U^13	U^23
Sn1	0.00700 (19)	0.01600 (14)	0.01600 (14)	0.000	0.000	0.000
Sn2	0.01202 (19)	0.01202 (19)	0.01202 (19)	−0.0003 (3)	−0.0003 (3)	−0.0003 (3)
Zn2	0.021 (5)	0.021 (5)	0.021 (5)	−0.0062 (16)	−0.0062 (16)	−0.0062 (16)
Sn3	0.0146 (3)	0.0113 (4)	0.0113 (4)	0.000	0.000	0.0041 (3)
Zn3	0.0113 (4)	0.0263 (5)	0.0263 (5)	0.000	0.000	0.0181 (7)
Ni1	0.0094 (3)	0.0094 (3)	0.0094 (3)	0.000	0.000	0.000
Ni2	0.0065 (2)	0.0065 (2)	0.0065 (2)	0.000	0.000	0.000
Ni3	0.0094 (2)	0.00907 (15)	0.00907 (15)	0.000	0.000	0.00077 (14)
Ni4	0.0123 (13)	0.0123 (13)	0.0123 (13)	−0.0002 (9)	−0.0002 (9)	−0.0002 (9)

Geometric parameters (Å, º)

Sn1—Ni4^i	2.471 (3)	Zn3—Ni3^vii	2.5580 (3)
Sn1—Ni4	2.471 (3)	Zn3—Sn3^xi	2.687 (5)
Sn1—Ni4^ii	2.471 (3)	Zn3—Sn3^xii	2.687 (5)
Sn1—Ni4^iii	2.471 (3)	Zn3—Ni5	2.70 (4)
Sn1—Ni2	2.5697 (5)	Zn3—Ni5^xiii	2.70 (4)
Sn1—Ni3	2.6651 (5)	Zn3—Sn2^xvi	2.8808 (18)
Sn1—Ni3^iv	2.6651 (5)	Ni1—Zn2^xvii	2.46 (2)
Sn1—Ni3^iii	2.6651 (5)	Ni1—Zn2^ix	2.46 (2)
Sn1—Ni3^v	2.6651 (5)	Ni1—Zn2^x	2.46 (2)
Sn1—Zn3^vi	2.943 (3)	Ni1—Zn2^xi	2.46 (2)
Sn1—Zn3^vii	2.943 (3)	Ni1—Zn2^xviii	2.46 (2)
Sn1—Zn3^viii	2.943 (3)	Ni1—Zn2^xix	2.46 (2)
Sn2—Ni4	2.200 (7)	Ni1—Zn2^xx	2.46 (2)
Sn2—Ni5^vi	2.49 (3)	Ni1—Sn2^xvii	2.671 (3)
Sn2—Ni5^vii	2.49 (3)	Ni1—Sn2^xviii	2.671 (3)
Sn2—Ni5	2.49 (3)	Ni1—Sn2^xix	2.671 (3)
Sn2—Ni3^vi	2.6521 (11)	Ni2—Sn1^xxi	2.5697 (5)
Sn2—Ni3^vii	2.6521 (11)	Ni2—Sn1^xxii	2.5697 (5)
Sn2—Ni3	2.6521 (11)	Ni2—Sn1^xxiii	2.5697 (5)
Sn2—Ni1	2.671 (3)	Ni2—Sn1^vii	2.5697 (5)
Sn2—Zn3	2.8808 (18)	Ni2—Sn1^vi	2.5697 (5)
Sn2—Zn3^vi	2.8808 (18)	Ni2—Ni4^xxiii	2.789 (6)
Sn2—Zn3^vii	2.8808 (18)	Ni2—Ni4	2.789 (6)
Sn2—Sn3^vi	2.9292 (14)	Ni2—Ni4^xvi	2.789 (6)
Zn2—Ni5^vi	2.41 (3)	Ni2—Ni4^xxiv	2.789 (6)
Zn2—Ni5^vii	2.41 (3)	Ni2—Ni4^iii	2.789 (6)
Zn2—Ni5	2.41 (3)	Ni2—Ni4^xxv	2.789 (6)
Zn2—Ni4	2.41 (2)	Ni3—Zn3^xxvi	2.5580 (3)
Zn2—Ni1	2.46 (2)	Ni3—Zn3^xxvii	2.5580 (3)
Zn2—Ni3^vi	2.730 (9)	Ni3—Zn3^vi	2.5580 (3)
Zn2—Ni3^vii	2.730 (9)	Ni3—Zn3^vii	2.5580 (3)
Zn2—Ni3	2.730 (9)	Ni3—Sn3^xxvi	2.6103 (5)
Zn2—Zn2^ix	2.84 (3)	Ni3—Sn3^xxvii	2.6103 (5)
Zn2—Zn2^x	2.84 (3)	Ni3—Sn3^vi	2.6103 (5)
Zn2—Zn2^xi	2.84 (3)	Ni3—Sn3^vii	2.6103 (5)
Zn2—Sn2^x	2.966 (11)	Ni3—Sn2^ix	2.6521 (11)
Sn3—Sn3^xi	2.330 (3)	Ni3—Sn1^iv	2.6651 (5)
Sn3—Sn3^xii	2.330 (3)	Ni4—Zn3^vi	2.456 (3)
Sn3—Ni5	2.35 (4)	Ni4—Zn3^vii	2.456 (3)
Sn3—Ni5^xiii	2.35 (4)	Ni4—Sn1^vi	2.471 (3)
Sn3—Ni3^xiv	2.6103 (5)	Ni4—Sn1^vii	2.471 (3)
Sn3—Ni3^xv	2.6103 (5)	Ni4—Sn3^vi	2.832 (3)
Sn3—Ni3^vi	2.6103 (5)	Ni4—Sn3^vii	2.832 (3)
Sn3—Ni3^vii	2.6103 (5)	Ni5—Sn3^xi	2.35 (4)
Sn3—Zn3^xi	2.687 (5)	Ni5—Sn3^xii	2.35 (4)
Sn3—Zn3^xii	2.687 (5)	Ni5—Sn3^xiii	2.35 (4)
Sn3—Ni4^xvi	2.832 (3)	Ni5—Zn2^xviii	2.41 (3)
Sn3—Ni4	2.832 (3)	Ni5—Zn2^x	2.41 (3)
Zn3—Ni4^xvi	2.456 (3)	Ni5—Zn2^xi	2.41 (3)
Zn3—Ni4	2.456 (3)	Ni5—Sn2^xviii	2.49 (3)
Zn3—Ni3^xiv	2.5580 (3)	Ni5—Sn2^xi	2.49 (3)
Zn3—Ni3^xv	2.5580 (3)	Ni5—Sn2^x	2.49 (3)
Zn3—Ni3^vi	2.5580 (3)
Ni4^i—Sn1—Ni4	134.3 (2)	Zn2—Ni1—Zn2^xvii	180.0 (10)
Ni4^i—Sn1—Ni4^ii	81.33 (8)	Zn2—Ni1—Zn2^ix	70.529 (1)
Ni4—Sn1—Ni4^ii	81.33 (8)	Zn2^xvii—Ni1—Zn2^ix	109.471 (1)
Ni4^i—Sn1—Ni4^iii	81.33 (8)	Zn2—Ni1—Zn2^x	70.529 (1)
Ni4—Sn1—Ni4^iii	81.33 (8)	Zn2^xvii—Ni1—Zn2^x	109.471 (1)
Ni4^ii—Sn1—Ni4^iii	134.3 (2)	Zn2^ix—Ni1—Zn2^x	109.5
Ni4^i—Sn1—Ni2	67.15 (12)	Zn2—Ni1—Zn2^xi	70.5
Ni4—Sn1—Ni2	67.15 (12)	Zn2^xvii—Ni1—Zn2^xi	109.5
Ni4^ii—Sn1—Ni2	67.15 (12)	Zn2^ix—Ni1—Zn2^xi	109.471 (1)
Ni4^iii—Sn1—Ni2	67.15 (12)	Zn2^x—Ni1—Zn2^xi	109.5
Ni4^i—Sn1—Ni3	158.81 (12)	Zn2—Ni1—Zn2^xviii	109.471 (1)
Ni4—Sn1—Ni3	66.90 (11)	Zn2^xvii—Ni1—Zn2^xviii	70.529 (1)
Ni4^ii—Sn1—Ni3	105.66 (8)	Zn2^ix—Ni1—Zn2^xviii	180.0 (10)
Ni4^iii—Sn1—Ni3	105.66 (8)	Zn2^x—Ni1—Zn2^xviii	70.5
Ni2—Sn1—Ni3	134.045 (11)	Zn2^xi—Ni1—Zn2^xviii	70.5
Ni4^i—Sn1—Ni3^iv	66.90 (11)	Zn2—Ni1—Zn2^xix	109.5
Ni4—Sn1—Ni3^iv	158.81 (12)	Zn2^xvii—Ni1—Zn2^xix	70.5
Ni4^ii—Sn1—Ni3^iv	105.66 (8)	Zn2^ix—Ni1—Zn2^xix	70.5
Ni4^iii—Sn1—Ni3^iv	105.66 (8)	Zn2^x—Ni1—Zn2^xix	180.0 (15)
Ni2—Sn1—Ni3^iv	134.045 (11)	Zn2^xi—Ni1—Zn2^xix	70.5
Ni3—Sn1—Ni3^iv	91.91 (2)	Zn2^xviii—Ni1—Zn2^xix	109.5
Ni4^i—Sn1—Ni3^iii	105.66 (8)	Zn2—Ni1—Zn2^xx	109.5
Ni4—Sn1—Ni3^iii	105.66 (8)	Zn2^xvii—Ni1—Zn2^xx	70.5
Ni4^ii—Sn1—Ni3^iii	158.81 (12)	Zn2^ix—Ni1—Zn2^xx	70.5
Ni4^iii—Sn1—Ni3^iii	66.90 (11)	Zn2^x—Ni1—Zn2^xx	70.5
Ni2—Sn1—Ni3^iii	134.045 (11)	Zn2^xi—Ni1—Zn2^xx	180.0 (10)
Ni3—Sn1—Ni3^iii	61.096 (13)	Zn2^xviii—Ni1—Zn2^xx	109.5
Ni3^iv—Sn1—Ni3^iii	61.096 (13)	Zn2^xix—Ni1—Zn2^xx	109.5
Ni4^i—Sn1—Ni3^v	105.66 (8)	Zn2—Ni1—Sn2^xvii	180.00 (18)
Ni4—Sn1—Ni3^v	105.66 (8)	Zn2^xvii—Ni1—Sn2^xvii	0.0 (3)
Ni4^ii—Sn1—Ni3^v	66.90 (11)	Zn2^ix—Ni1—Sn2^xvii	109.5
Ni4^iii—Sn1—Ni3^v	158.81 (12)	Zn2^x—Ni1—Sn2^xvii	109.5
Ni2—Sn1—Ni3^v	134.045 (11)	Zn2^xi—Ni1—Sn2^xvii	109.5
Ni3—Sn1—Ni3^v	61.096 (13)	Zn2^xviii—Ni1—Sn2^xvii	70.5
Ni3^iv—Sn1—Ni3^v	61.096 (13)	Zn2^xix—Ni1—Sn2^xvii	70.5
Ni3^iii—Sn1—Ni3^v	91.91 (2)	Zn2^xx—Ni1—Sn2^xvii	70.529 (1)
Ni4^i—Sn1—Zn3^vi	133.90 (4)	Zn2—Ni1—Sn2	0.0 (3)
Ni4—Sn1—Zn3^vi	53.10 (6)	Zn2^xvii—Ni1—Sn2	180.0 (3)
Ni4^ii—Sn1—Zn3^vi	133.90 (4)	Zn2^ix—Ni1—Sn2	70.5
Ni4^iii—Sn1—Zn3^vi	53.10 (6)	Zn2^x—Ni1—Sn2	70.5
Ni2—Sn1—Zn3^vi	96.87 (5)	Zn2^xi—Ni1—Sn2	70.529 (1)
Ni3—Sn1—Zn3^vi	54.00 (4)	Zn2^xviii—Ni1—Sn2	109.5
Ni3^iv—Sn1—Zn3^vi	114.93 (5)	Zn2^xix—Ni1—Sn2	109.5
Ni3^iii—Sn1—Zn3^vi	54.00 (4)	Zn2^xx—Ni1—Sn2	109.471 (1)
Ni3^v—Sn1—Zn3^vi	114.93 (5)	Sn2^xvii—Ni1—Sn2	180.00 (12)
Ni4^i—Sn1—Zn3^vii	133.90 (4)	Zn2—Ni1—Sn2^xviii	109.471 (1)
Ni4—Sn1—Zn3^vii	53.10 (6)	Zn2^xvii—Ni1—Sn2^xviii	70.529 (1)
Ni4^ii—Sn1—Zn3^vii	53.10 (6)	Zn2^ix—Ni1—Sn2^xviii	180.0 (2)
Ni4^iii—Sn1—Zn3^vii	133.90 (4)	Zn2^x—Ni1—Sn2^xviii	70.5
Ni2—Sn1—Zn3^vii	96.87 (5)	Zn2^xi—Ni1—Sn2^xviii	70.5
Ni3—Sn1—Zn3^vii	54.00 (4)	Zn2^xviii—Ni1—Sn2^xviii	0.00 (18)
Ni3^iv—Sn1—Zn3^vii	114.93 (5)	Zn2^xix—Ni1—Sn2^xviii	109.5
Ni3^iii—Sn1—Zn3^vii	114.93 (5)	Zn2^xx—Ni1—Sn2^xviii	109.5
Ni3^v—Sn1—Zn3^vii	54.00 (4)	Sn2^xvii—Ni1—Sn2^xviii	70.5
Zn3^vi—Sn1—Zn3^vii	89.180 (13)	Sn2—Ni1—Sn2^xviii	109.5
Ni4^i—Sn1—Zn3^viii	53.10 (6)	Zn2—Ni1—Sn2^xix	109.5
Ni4—Sn1—Zn3^viii	133.90 (4)	Zn2^xvii—Ni1—Sn2^xix	70.5
Ni4^ii—Sn1—Zn3^viii	133.90 (4)	Zn2^ix—Ni1—Sn2^xix	70.5
Ni4^iii—Sn1—Zn3^viii	53.10 (6)	Zn2^x—Ni1—Sn2^xix	180.0 (3)
Ni2—Sn1—Zn3^viii	96.87 (5)	Zn2^xi—Ni1—Sn2^xix	70.5
Ni3—Sn1—Zn3^viii	114.93 (5)	Zn2^xviii—Ni1—Sn2^xix	109.5
Ni3^iv—Sn1—Zn3^viii	54.00 (4)	Zn2^xix—Ni1—Sn2^xix	0.0 (2)
Ni3^iii—Sn1—Zn3^viii	54.00 (4)	Zn2^xx—Ni1—Sn2^xix	109.5
Ni3^v—Sn1—Zn3^viii	114.93 (5)	Sn2^xvii—Ni1—Sn2^xix	70.5
Zn3^vi—Sn1—Zn3^viii	89.180 (13)	Sn2—Ni1—Sn2^xix	109.5
Zn3^vii—Sn1—Zn3^viii	166.26 (11)	Sn2^xviii—Ni1—Sn2^xix	109.5
Ni4—Sn2—Ni5^vi	115.8 (12)	Sn1^xxi—Ni2—Sn1^xxii	90.0
Ni4—Sn2—Ni5^vii	115.8 (12)	Sn1^xxi—Ni2—Sn1^xxiii	90.0
Ni5^vi—Sn2—Ni5^vii	102.4 (15)	Sn1^xxii—Ni2—Sn1^xxiii	90.0
Ni4—Sn2—Ni5	115.8 (12)	Sn1^xxi—Ni2—Sn1	90.0
Ni5^vi—Sn2—Ni5	102.4 (15)	Sn1^xxii—Ni2—Sn1	90.0
Ni5^vii—Sn2—Ni5	102.4 (15)	Sn1^xxiii—Ni2—Sn1	180.0
Ni4—Sn2—Ni3^vi	70.82 (6)	Sn1^xxi—Ni2—Sn1^vii	90.0
Ni5^vi—Sn2—Ni3^vi	173.4 (12)	Sn1^xxii—Ni2—Sn1^vii	180.0
Ni5^vii—Sn2—Ni3^vi	73.6 (6)	Sn1^xxiii—Ni2—Sn1^vii	90.0
Ni5—Sn2—Ni3^vi	73.6 (6)	Sn1—Ni2—Sn1^vii	90.0
Ni4—Sn2—Ni3^vii	70.82 (6)	Sn1^xxi—Ni2—Sn1^vi	180.0
Ni5^vi—Sn2—Ni3^vii	73.6 (6)	Sn1^xxii—Ni2—Sn1^vi	90.0
Ni5^vii—Sn2—Ni3^vii	173.4 (12)	Sn1^xxiii—Ni2—Sn1^vi	90.0
Ni5—Sn2—Ni3^vii	73.6 (6)	Sn1—Ni2—Sn1^vi	90.0
Ni3^vi—Sn2—Ni3^vii	109.76 (6)	Sn1^vii—Ni2—Sn1^vi	90.0
Ni4—Sn2—Ni3	70.82 (6)	Sn1^xxi—Ni2—Ni4^xxiii	54.7
Ni5^vi—Sn2—Ni3	73.6 (6)	Sn1^xxii—Ni2—Ni4^xxiii	54.7
Ni5^vii—Sn2—Ni3	73.6 (6)	Sn1^xxiii—Ni2—Ni4^xxiii	54.7
Ni5—Sn2—Ni3	173.4 (12)	Sn1—Ni2—Ni4^xxiii	125.3
Ni3^vi—Sn2—Ni3	109.76 (6)	Sn1^vii—Ni2—Ni4^xxiii	125.3
Ni3^vii—Sn2—Ni3	109.76 (6)	Sn1^vi—Ni2—Ni4^xxiii	125.3
Ni4—Sn2—Ni1	180.00 (10)	Sn1^xxi—Ni2—Ni4	125.3
Ni5^vi—Sn2—Ni1	64.2 (12)	Sn1^xxii—Ni2—Ni4	125.3
Ni5^vii—Sn2—Ni1	64.2 (12)	Sn1^xxiii—Ni2—Ni4	125.3
Ni5—Sn2—Ni1	64.2 (12)	Sn1—Ni2—Ni4	54.7
Ni3^vi—Sn2—Ni1	109.18 (6)	Sn1^vii—Ni2—Ni4	54.7
Ni3^vii—Sn2—Ni1	109.18 (6)	Sn1^vi—Ni2—Ni4	54.7
Ni3—Sn2—Ni1	109.18 (6)	Ni4^xxiii—Ni2—Ni4	180.00 (11)
Ni4—Sn2—Zn3	55.91 (10)	Sn1^xxi—Ni2—Ni4^xvi	125.3
Ni5^vi—Sn2—Zn3	128.1 (5)	Sn1^xxii—Ni2—Ni4^xvi	125.3
Ni5^vii—Sn2—Zn3	128.1 (5)	Sn1^xxiii—Ni2—Ni4^xvi	54.7
Ni5—Sn2—Zn3	59.9 (12)	Sn1—Ni2—Ni4^xvi	125.3
Ni3^vi—Sn2—Zn3	54.89 (3)	Sn1^vii—Ni2—Ni4^xvi	54.7
Ni3^vii—Sn2—Zn3	54.89 (3)	Sn1^vi—Ni2—Ni4^xvi	54.7
Ni3—Sn2—Zn3	126.73 (15)	Ni4^xxiii—Ni2—Ni4^xvi	109.471 (1)
Ni1—Sn2—Zn3	124.09 (10)	Ni4—Ni2—Ni4^xvi	70.5
Ni4—Sn2—Zn3^vi	55.91 (10)	Sn1^xxi—Ni2—Ni4^xxiv	125.3
Ni5^vi—Sn2—Zn3^vi	59.9 (12)	Sn1^xxii—Ni2—Ni4^xxiv	54.7
Ni5^vii—Sn2—Zn3^vi	128.1 (5)	Sn1^xxiii—Ni2—Ni4^xxiv	54.7
Ni5—Sn2—Zn3^vi	128.1 (5)	Sn1—Ni2—Ni4^xxiv	125.3
Ni3^vi—Sn2—Zn3^vi	126.73 (15)	Sn1^vii—Ni2—Ni4^xxiv	125.3
Ni3^vii—Sn2—Zn3^vi	54.89 (3)	Sn1^vi—Ni2—Ni4^xxiv	54.7
Ni3—Sn2—Zn3^vi	54.89 (3)	Ni4^xxiii—Ni2—Ni4^xxiv	70.5
Ni1—Sn2—Zn3^vi	124.09 (10)	Ni4—Ni2—Ni4^xxiv	109.5
Zn3—Sn2—Zn3^vi	91.64 (14)	Ni4^xvi—Ni2—Ni4^xxiv	70.5
Ni4—Sn2—Zn3^vii	55.91 (10)	Sn1^xxi—Ni2—Ni4^iii	54.7
Ni5^vi—Sn2—Zn3^vii	128.1 (5)	Sn1^xxii—Ni2—Ni4^iii	125.3
Ni5^vii—Sn2—Zn3^vii	59.9 (12)	Sn1^xxiii—Ni2—Ni4^iii	125.3
Ni5—Sn2—Zn3^vii	128.1 (5)	Sn1—Ni2—Ni4^iii	54.7
Ni3^vi—Sn2—Zn3^vii	54.89 (3)	Sn1^vii—Ni2—Ni4^iii	54.7
Ni3^vii—Sn2—Zn3^vii	126.73 (15)	Sn1^vi—Ni2—Ni4^iii	125.3
Ni3—Sn2—Zn3^vii	54.89 (3)	Ni4^xxiii—Ni2—Ni4^iii	109.5
Ni1—Sn2—Zn3^vii	124.09 (10)	Ni4—Ni2—Ni4^iii	70.529 (1)
Zn3—Sn2—Zn3^vii	91.64 (14)	Ni4^xvi—Ni2—Ni4^iii	109.5
Zn3^vi—Sn2—Zn3^vii	91.64 (14)	Ni4^xxiv—Ni2—Ni4^iii	180.00 (11)
Ni4—Sn2—Sn3^vi	65.24 (7)	Sn1^xxi—Ni2—Ni4^xxv	54.7
Ni5^vi—Sn2—Sn3^vi	50.6 (12)	Sn1^xxii—Ni2—Ni4^xxv	125.3
Ni5^vii—Sn2—Sn3^vi	126.2 (3)	Sn1^xxiii—Ni2—Ni4^xxv	54.7
Ni5—Sn2—Sn3^vi	126.2 (3)	Sn1—Ni2—Ni4^xxv	125.3
Ni3^vi—Sn2—Sn3^vi	136.06 (13)	Sn1^vii—Ni2—Ni4^xxv	54.7
Ni3^vii—Sn2—Sn3^vi	55.50 (3)	Sn1^vi—Ni2—Ni4^xxv	125.3
Ni3—Sn2—Sn3^vi	55.50 (3)	Ni4^xxiii—Ni2—Ni4^xxv	70.5
Ni1—Sn2—Sn3^vi	114.76 (7)	Ni4—Ni2—Ni4^xxv	109.5
Zn3—Sn2—Sn3^vi	98.12 (11)	Ni4^xvi—Ni2—Ni4^xxv	70.5
Zn3^vi—Sn2—Sn3^vi	9.33 (5)	Ni4^xxiv—Ni2—Ni4^xxv	109.471 (1)
Zn3^vii—Sn2—Sn3^vi	98.12 (11)	Ni4^iii—Ni2—Ni4^xxv	70.5
Ni5^vi—Zn2—Ni5^vii	107.7 (14)	Zn3^xxvi—Ni3—Zn3^xxvii	107.74 (16)
Ni5^vi—Zn2—Ni5	107.7 (14)	Zn3^xxvi—Ni3—Zn3^vi	71.85 (17)
Ni5^vii—Zn2—Ni5	107.7 (14)	Zn3^xxvii—Ni3—Zn3^vi	173.26 (10)
Ni5^vi—Zn2—Ni4	111.2 (13)	Zn3^xxvi—Ni3—Zn3^vii	173.26 (10)
Ni5^vii—Zn2—Ni4	111.2 (13)	Zn3^xxvii—Ni3—Zn3^vii	71.85 (17)
Ni5—Zn2—Ni4	111.2 (13)	Zn3^vi—Ni3—Zn3^vii	107.74 (16)
Ni5^vi—Zn2—Ni1	68.8 (13)	Zn3^xxvi—Ni3—Sn3^xxvi	10.49 (6)
Ni5^vii—Zn2—Ni1	68.8 (13)	Zn3^xxvii—Ni3—Sn3^xxvi	116.25 (11)
Ni5—Zn2—Ni1	68.8 (13)	Zn3^vi—Ni3—Sn3^xxvi	62.63 (13)
Ni4—Zn2—Ni1	180.0 (5)	Zn3^vii—Ni3—Sn3^xxvi	164.98 (4)
Ni5^vi—Zn2—Ni3^vi	177.8 (16)	Zn3^xxvi—Ni3—Sn3^xxvii	116.25 (11)
Ni5^vii—Zn2—Ni3^vi	73.5 (7)	Zn3^xxvii—Ni3—Sn3^xxvii	10.49 (6)
Ni5—Zn2—Ni3^vi	73.5 (7)	Zn3^vi—Ni3—Sn3^xxvii	164.98 (4)
Ni4—Zn2—Ni3^vi	66.6 (4)	Zn3^vii—Ni3—Sn3^xxvii	62.63 (13)
Ni1—Zn2—Ni3^vi	113.4 (4)	Sn3^xxvi—Ni3—Sn3^xxvii	123.89 (7)
Ni5^vi—Zn2—Ni3^vii	73.5 (7)	Zn3^xxvi—Ni3—Sn3^vi	62.63 (13)
Ni5^vii—Zn2—Ni3^vii	177.8 (16)	Zn3^xxvii—Ni3—Sn3^vi	164.98 (4)
Ni5—Zn2—Ni3^vii	73.5 (7)	Zn3^vi—Ni3—Sn3^vi	10.49 (6)
Ni4—Zn2—Ni3^vii	66.6 (4)	Zn3^vii—Ni3—Sn3^vi	116.25 (11)
Ni1—Zn2—Ni3^vii	113.4 (4)	Sn3^xxvi—Ni3—Sn3^vi	53.00 (9)
Ni3^vi—Zn2—Ni3^vii	105.2 (5)	Sn3^xxvii—Ni3—Sn3^vi	162.91 (5)
Ni5^vi—Zn2—Ni3	73.5 (7)	Zn3^xxvi—Ni3—Sn3^vii	164.98 (4)
Ni5^vii—Zn2—Ni3	73.5 (7)	Zn3^xxvii—Ni3—Sn3^vii	62.63 (13)
Ni5—Zn2—Ni3	177.8 (16)	Zn3^vi—Ni3—Sn3^vii	116.25 (11)
Ni4—Zn2—Ni3	66.6 (4)	Zn3^vii—Ni3—Sn3^vii	10.49 (6)
Ni1—Zn2—Ni3	113.4 (4)	Sn3^xxvi—Ni3—Sn3^vii	162.91 (5)
Ni3^vi—Zn2—Ni3	105.2 (5)	Sn3^xxvii—Ni3—Sn3^vii	53.00 (9)
Ni3^vii—Zn2—Ni3	105.2 (5)	Sn3^vi—Ni3—Sn3^vii	123.89 (7)
Ni5^vi—Zn2—Zn2^ix	53.9 (6)	Zn3^xxvi—Ni3—Sn2^ix	67.11 (3)
Ni5^vii—Zn2—Zn2^ix	53.9 (6)	Zn3^xxvii—Ni3—Sn2^ix	67.11 (3)
Ni5—Zn2—Zn2^ix	123.5 (13)	Zn3^vi—Ni3—Sn2^ix	107.06 (9)
Ni4—Zn2—Zn2^ix	125.3	Zn3^vii—Ni3—Sn2^ix	107.06 (9)
Ni1—Zn2—Zn2^ix	54.736 (1)	Sn3^xxvi—Ni3—Sn2^ix	67.64 (2)
Ni3^vi—Zn2—Zn2^ix	127.2 (2)	Sn3^xxvii—Ni3—Sn2^ix	67.64 (2)
Ni3^vii—Zn2—Zn2^ix	127.2 (2)	Sn3^vi—Ni3—Sn2^ix	97.97 (5)
Ni3—Zn2—Zn2^ix	58.7 (4)	Sn3^vii—Ni3—Sn2^ix	97.97 (5)
Ni5^vi—Zn2—Zn2^x	53.9 (6)	Zn3^xxvi—Ni3—Sn2	107.06 (9)
Ni5^vii—Zn2—Zn2^x	123.5 (13)	Zn3^xxvii—Ni3—Sn2	107.06 (9)
Ni5—Zn2—Zn2^x	53.9 (6)	Zn3^vi—Ni3—Sn2	67.11 (3)
Ni4—Zn2—Zn2^x	125.3	Zn3^vii—Ni3—Sn2	67.11 (3)
Ni1—Zn2—Zn2^x	54.7	Sn3^xxvi—Ni3—Sn2	97.97 (5)
Ni3^vi—Zn2—Zn2^x	127.2 (2)	Sn3^xxvii—Ni3—Sn2	97.97 (5)
Ni3^vii—Zn2—Zn2^x	58.7 (4)	Sn3^vi—Ni3—Sn2	67.64 (2)
Ni3—Zn2—Zn2^x	127.2 (2)	Sn3^vii—Ni3—Sn2	67.64 (2)
Zn2^ix—Zn2—Zn2^x	90.000 (1)	Sn2^ix—Ni3—Sn2	71.12 (13)
Ni5^vi—Zn2—Zn2^xi	123.5 (13)	Zn3^xxvi—Ni3—Sn1	116.75 (2)
Ni5^vii—Zn2—Zn2^xi	53.9 (6)	Zn3^xxvii—Ni3—Sn1	116.75 (2)
Ni5—Zn2—Zn2^xi	53.9 (6)	Zn3^vi—Ni3—Sn1	68.55 (9)
Ni4—Zn2—Zn2^xi	125.3	Zn3^vii—Ni3—Sn1	68.55 (9)
Ni1—Zn2—Zn2^xi	54.7	Sn3^xxvi—Ni3—Sn1	114.649 (16)
Ni3^vi—Zn2—Zn2^xi	58.7 (4)	Sn3^xxvii—Ni3—Sn1	114.649 (16)
Ni3^vii—Zn2—Zn2^xi	127.2 (2)	Sn3^vi—Ni3—Sn1	78.26 (4)
Ni3—Zn2—Zn2^xi	127.2 (2)	Sn3^vii—Ni3—Sn1	78.26 (4)
Zn2^ix—Zn2—Zn2^xi	90.0	Sn2^ix—Ni3—Sn1	171.51 (7)
Zn2^x—Zn2—Zn2^xi	90.0	Sn2—Ni3—Sn1	100.40 (6)
Ni5^vi—Zn2—Sn2^x	54.1 (6)	Zn3^xxvi—Ni3—Sn1^iv	68.55 (9)
Ni5^vii—Zn2—Sn2^x	126.9 (16)	Zn3^xxvii—Ni3—Sn1^iv	68.55 (9)
Ni5—Zn2—Sn2^x	54.1 (6)	Zn3^vi—Ni3—Sn1^iv	116.75 (2)
Ni4—Zn2—Sn2^x	121.9 (4)	Zn3^vii—Ni3—Sn1^iv	116.75 (2)
Ni1—Zn2—Sn2^x	58.1 (4)	Sn3^xxvi—Ni3—Sn1^iv	78.26 (4)
Ni3^vi—Zn2—Sn2^x	126.84 (13)	Sn3^xxvii—Ni3—Sn1^iv	78.26 (4)
Ni3^vii—Zn2—Sn2^x	55.31 (4)	Sn3^vi—Ni3—Sn1^iv	114.649 (16)
Ni3—Zn2—Sn2^x	126.84 (13)	Sn3^vii—Ni3—Sn1^iv	114.649 (16)
Zn2^ix—Zn2—Sn2^x	92.4 (3)	Sn2^ix—Ni3—Sn1^iv	100.40 (6)
Zn2^x—Zn2—Sn2^x	3.4 (4)	Sn2—Ni3—Sn1^iv	171.51 (7)
Zn2^xi—Zn2—Sn2^x	92.4 (3)	Sn1—Ni3—Sn1^iv	88.09 (2)
Sn3^xi—Sn3—Sn3^xii	90.0	Sn2—Ni4—Zn2	0.00 (17)
Sn3^xi—Sn3—Ni5	60.3 (6)	Sn2—Ni4—Zn3^vi	76.22 (14)
Sn3^xii—Sn3—Ni5	60.3 (6)	Zn2—Ni4—Zn3^vi	76.22 (14)
Sn3^xi—Sn3—Ni5^xiii	60.3 (6)	Sn2—Ni4—Zn3^vii	76.22 (14)
Sn3^xii—Sn3—Ni5^xiii	60.3 (6)	Zn2—Ni4—Zn3^vii	76.22 (14)
Ni5—Sn3—Ni5^xiii	91 (2)	Zn3^vi—Ni4—Zn3^vii	114.51 (11)
Sn3^xi—Sn3—Ni3^xiv	63.50 (4)	Sn2—Ni4—Zn3	76.22 (14)
Sn3^xii—Sn3—Ni3^xiv	136.81 (4)	Zn2—Ni4—Zn3	76.22 (14)
Ni5—Sn3—Ni3^xiv	120.7 (3)	Zn3^vi—Ni4—Zn3	114.51 (11)
Ni5^xiii—Sn3—Ni3^xiv	76.7 (5)	Zn3^vii—Ni4—Zn3	114.51 (11)
Sn3^xi—Sn3—Ni3^xv	136.81 (4)	Sn2—Ni4—Sn1	121.88 (12)
Sn3^xii—Sn3—Ni3^xv	63.50 (4)	Zn2—Ni4—Sn1	121.88 (12)
Ni5—Sn3—Ni3^xv	120.7 (3)	Zn3^vi—Ni4—Sn1	73.35 (5)
Ni5^xiii—Sn3—Ni3^xv	76.7 (5)	Zn3^vii—Ni4—Sn1	73.35 (5)
Ni3^xiv—Sn3—Ni3^xv	112.42 (3)	Zn3—Ni4—Sn1	161.9 (3)
Sn3^xi—Sn3—Ni3^vi	63.50 (4)	Sn2—Ni4—Sn1^vi	121.88 (12)
Sn3^xii—Sn3—Ni3^vi	136.81 (4)	Zn2—Ni4—Sn1^vi	121.88 (12)
Ni5—Sn3—Ni3^vi	76.7 (5)	Zn3^vi—Ni4—Sn1^vi	161.9 (3)
Ni5^xiii—Sn3—Ni3^vi	120.7 (3)	Zn3^vii—Ni4—Sn1^vi	73.35 (5)
Ni3^xiv—Sn3—Ni3^vi	62.52 (2)	Zn3—Ni4—Sn1^vi	73.35 (5)
Ni3^xv—Sn3—Ni3^vi	156.92 (10)	Sn1—Ni4—Sn1^vi	94.67 (16)
Sn3^xi—Sn3—Ni3^vii	136.81 (4)	Sn2—Ni4—Sn1^vii	121.88 (12)
Sn3^xii—Sn3—Ni3^vii	63.50 (4)	Zn2—Ni4—Sn1^vii	121.88 (12)
Ni5—Sn3—Ni3^vii	76.7 (5)	Zn3^vi—Ni4—Sn1^vii	73.35 (5)
Ni5^xiii—Sn3—Ni3^vii	120.7 (3)	Zn3^vii—Ni4—Sn1^vii	161.9 (3)
Ni3^xiv—Sn3—Ni3^vii	156.92 (10)	Zn3—Ni4—Sn1^vii	73.35 (5)
Ni3^xv—Sn3—Ni3^vii	62.52 (2)	Sn1—Ni4—Sn1^vii	94.67 (16)
Ni3^vi—Sn3—Ni3^vii	112.42 (3)	Sn1^vi—Ni4—Sn1^vii	94.67 (16)
Sn3^xi—Sn3—Zn3^xi	7.18 (3)	Sn2—Ni4—Ni2	180.00 (13)
Sn3^xii—Sn3—Zn3^xi	97.18 (3)	Zn2—Ni4—Ni2	180.0 (3)
Ni5—Sn3—Zn3^xi	64.5 (5)	Zn3^vi—Ni4—Ni2	103.78 (14)
Ni5^xiii—Sn3—Zn3^xi	64.5 (5)	Zn3^vii—Ni4—Ni2	103.78 (14)
Ni3^xiv—Sn3—Zn3^xi	57.73 (6)	Zn3—Ni4—Ni2	103.78 (14)
Ni3^xv—Sn3—Zn3^xi	141.18 (3)	Sn1—Ni4—Ni2	58.12 (12)
Ni3^vi—Sn3—Zn3^xi	57.73 (6)	Sn1^vi—Ni4—Ni2	58.12 (12)
Ni3^vii—Sn3—Zn3^xi	141.18 (3)	Sn1^vii—Ni4—Ni2	58.12 (12)
Sn3^xi—Sn3—Zn3^xii	97.18 (3)	Sn2—Ni4—Sn3^vi	69.91 (11)
Sn3^xii—Sn3—Zn3^xii	7.18 (3)	Zn2—Ni4—Sn3^vi	69.91 (11)
Ni5—Sn3—Zn3^xii	64.5 (5)	Zn3^vi—Ni4—Sn3^vi	6.31 (5)
Ni5^xiii—Sn3—Zn3^xii	64.5 (5)	Zn3^vii—Ni4—Sn3^vi	111.98 (11)
Ni3^xiv—Sn3—Zn3^xii	141.18 (3)	Zn3—Ni4—Sn3^vi	111.98 (11)
Ni3^xv—Sn3—Zn3^xii	57.73 (6)	Sn1—Ni4—Sn3^vi	77.451 (19)
Ni3^vi—Sn3—Zn3^xii	141.18 (3)	Sn1^vi—Ni4—Sn3^vi	168.2 (2)
Ni3^vii—Sn3—Zn3^xii	57.73 (6)	Sn1^vii—Ni4—Sn3^vi	77.451 (19)
Zn3^xi—Sn3—Zn3^xii	104.37 (5)	Ni2—Ni4—Sn3^vi	110.09 (11)
Sn3^xi—Sn3—Ni4^xvi	125.57 (5)	Sn2—Ni4—Sn3^vii	69.91 (11)
Sn3^xii—Sn3—Ni4^xvi	125.57 (5)	Zn2—Ni4—Sn3^vii	69.91 (11)
Ni5—Sn3—Ni4^xvi	169.2 (10)	Zn3^vi—Ni4—Sn3^vii	111.98 (11)
Ni5^xiii—Sn3—Ni4^xvi	99.9 (11)	Zn3^vii—Ni4—Sn3^vii	6.31 (5)
Ni3^xiv—Sn3—Ni4^xvi	62.64 (5)	Zn3—Ni4—Sn3^vii	111.98 (11)
Ni3^xv—Sn3—Ni4^xvi	62.64 (5)	Sn1—Ni4—Sn3^vii	77.451 (19)
Ni3^vi—Sn3—Ni4^xvi	97.50 (8)	Sn1^vi—Ni4—Sn3^vii	77.451 (19)
Ni3^vii—Sn3—Ni4^xvi	97.50 (8)	Sn1^vii—Ni4—Sn3^vii	168.2 (2)
Zn3^xi—Sn3—Ni4^xvi	120.29 (5)	Ni2—Ni4—Sn3^vii	110.09 (11)
Zn3^xii—Sn3—Ni4^xvi	120.29 (5)	Sn3^vi—Ni4—Sn3^vii	108.84 (11)
Sn3^xi—Sn3—Ni4	125.57 (5)	Sn2—Ni4—Sn3	69.91 (11)
Sn3^xii—Sn3—Ni4	125.57 (5)	Zn2—Ni4—Sn3	69.91 (11)
Ni5—Sn3—Ni4	99.9 (11)	Zn3^vi—Ni4—Sn3	111.98 (11)
Ni5^xiii—Sn3—Ni4	169.2 (10)	Zn3^vii—Ni4—Sn3	111.98 (11)
Ni3^xiv—Sn3—Ni4	97.50 (8)	Zn3—Ni4—Sn3	6.31 (5)
Ni3^xv—Sn3—Ni4	97.50 (8)	Sn1—Ni4—Sn3	168.2 (2)
Ni3^vi—Sn3—Ni4	62.64 (5)	Sn1^vi—Ni4—Sn3	77.451 (19)
Ni3^vii—Sn3—Ni4	62.64 (5)	Sn1^vii—Ni4—Sn3	77.451 (19)
Zn3^xi—Sn3—Ni4	120.29 (5)	Ni2—Ni4—Sn3	110.09 (11)
Zn3^xii—Sn3—Ni4	120.29 (5)	Sn3^vi—Ni4—Sn3	108.84 (11)
Ni4^xvi—Sn3—Ni4	69.3 (2)	Sn3^vii—Ni4—Sn3	108.84 (11)
Ni4^xvi—Zn3—Ni4	81.9 (3)	Sn3—Ni5—Sn3^xi	59.4 (12)
Ni4^xvi—Zn3—Ni3^xiv	68.84 (8)	Sn3—Ni5—Sn3^xii	59.4 (12)
Ni4—Zn3—Ni3^xiv	109.47 (12)	Sn3^xi—Ni5—Sn3^xii	89 (2)
Ni4^xvi—Zn3—Ni3^xv	68.84 (8)	Sn3—Ni5—Sn3^xiii	89 (2)
Ni4—Zn3—Ni3^xv	109.47 (12)	Sn3^xi—Ni5—Sn3^xiii	59.4 (12)
Ni3^xiv—Zn3—Ni3^xv	116.01 (2)	Sn3^xii—Ni5—Sn3^xiii	59.4 (12)
Ni4^xvi—Zn3—Ni3^vi	109.47 (12)	Sn3—Ni5—Zn2^xviii	168 (2)
Ni4—Zn3—Ni3^vi	68.84 (8)	Sn3^xi—Ni5—Zn2^xviii	113.2 (5)
Ni3^xiv—Zn3—Ni3^vi	63.95 (2)	Sn3^xii—Ni5—Zn2^xviii	113.2 (5)
Ni3^xv—Zn3—Ni3^vi	177.9 (2)	Sn3^xiii—Ni5—Zn2^xviii	79.0 (5)
Ni4^xvi—Zn3—Ni3^vii	109.47 (12)	Sn3—Ni5—Zn2	79.0 (5)
Ni4—Zn3—Ni3^vii	68.84 (8)	Sn3^xi—Ni5—Zn2	113.2 (5)
Ni3^xiv—Zn3—Ni3^vii	177.9 (2)	Sn3^xii—Ni5—Zn2	113.2 (5)
Ni3^xv—Zn3—Ni3^vii	63.95 (2)	Sn3^xiii—Ni5—Zn2	168 (2)
Ni3^vi—Zn3—Ni3^vii	116.01 (2)	Zn2^xviii—Ni5—Zn2	113 (3)
Ni4^xvi—Zn3—Sn3^xi	126.63 (9)	Sn3—Ni5—Zn2^x	113.2 (5)
Ni4—Zn3—Sn3^xi	126.63 (9)	Sn3^xi—Ni5—Zn2^x	168 (2)
Ni3^xiv—Zn3—Sn3^xi	59.64 (7)	Sn3^xii—Ni5—Zn2^x	79.0 (5)
Ni3^xv—Zn3—Sn3^xi	122.31 (11)	Sn3^xiii—Ni5—Zn2^x	113.2 (5)
Ni3^vi—Zn3—Sn3^xi	59.64 (7)	Zn2^xviii—Ni5—Zn2^x	72.3 (13)
Ni3^vii—Zn3—Sn3^xi	122.31 (11)	Zn2—Ni5—Zn2^x	72.3 (13)
Ni4^xvi—Zn3—Sn3^xii	126.63 (9)	Sn3—Ni5—Zn2^xi	113.2 (5)
Ni4—Zn3—Sn3^xii	126.63 (9)	Sn3^xi—Ni5—Zn2^xi	79.0 (5)
Ni3^xiv—Zn3—Sn3^xii	122.31 (11)	Sn3^xii—Ni5—Zn2^xi	168 (2)
Ni3^xv—Zn3—Sn3^xii	59.64 (7)	Sn3^xiii—Ni5—Zn2^xi	113.2 (5)
Ni3^vi—Zn3—Sn3^xii	122.31 (11)	Zn2^xviii—Ni5—Zn2^xi	72.3 (13)
Ni3^vii—Zn3—Sn3^xii	59.64 (7)	Zn2—Ni5—Zn2^xi	72.3 (13)
Sn3^xi—Zn3—Sn3^xii	75.63 (5)	Zn2^x—Ni5—Zn2^xi	113 (3)
Ni4^xvi—Zn3—Ni5	177.3 (10)	Sn3—Ni5—Sn2^xviii	163 (2)
Ni4—Zn3—Ni5	100.8 (11)	Sn3^xi—Ni5—Sn2^xviii	110.2 (4)
Ni3^xiv—Zn3—Ni5	110.0 (5)	Sn3^xii—Ni5—Sn2^xviii	110.2 (4)
Ni3^xv—Zn3—Ni5	110.0 (5)	Sn3^xiii—Ni5—Sn2^xviii	74.4 (2)
Ni3^vi—Zn3—Ni5	71.7 (5)	Zn2^xviii—Ni5—Sn2^xviii	4.6 (6)
Ni3^vii—Zn3—Ni5	71.7 (5)	Zn2—Ni5—Sn2^xviii	118 (3)
Sn3^xi—Zn3—Ni5	51.7 (6)	Zn2^x—Ni5—Sn2^xviii	74.5 (12)
Sn3^xii—Zn3—Ni5	51.7 (6)	Zn2^xi—Ni5—Sn2^xviii	74.5 (12)
Ni4^xvi—Zn3—Ni5^xiii	100.8 (11)	Sn3—Ni5—Sn2^xi	110.2 (4)
Ni4—Zn3—Ni5^xiii	177.3 (10)	Sn3^xi—Ni5—Sn2^xi	74.4 (2)
Ni3^xiv—Zn3—Ni5^xiii	71.7 (5)	Sn3^xii—Ni5—Sn2^xi	163 (2)
Ni3^xv—Zn3—Ni5^xiii	71.7 (5)	Sn3^xiii—Ni5—Sn2^xi	110.2 (4)
Ni3^vi—Zn3—Ni5^xiii	110.0 (5)	Zn2^xviii—Ni5—Sn2^xi	74.5 (12)
Ni3^vii—Zn3—Ni5^xiii	110.0 (5)	Zn2—Ni5—Sn2^xi	74.5 (12)
Sn3^xi—Zn3—Ni5^xiii	51.7 (6)	Zn2^x—Ni5—Sn2^xi	118 (3)
Sn3^xii—Zn3—Ni5^xiii	51.7 (6)	Zn2^xi—Ni5—Sn2^xi	4.6 (6)
Ni5—Zn3—Ni5^xiii	77 (2)	Sn2^xviii—Ni5—Sn2^xi	76.5 (11)
Ni4^xvi—Zn3—Sn2	129.8 (2)	Sn3—Ni5—Sn2^x	110.2 (4)
Ni4—Zn3—Sn2	47.87 (15)	Sn3^xi—Ni5—Sn2^x	163 (2)
Ni3^xiv—Zn3—Sn2	121.942 (12)	Sn3^xii—Ni5—Sn2^x	74.4 (2)
Ni3^xv—Zn3—Sn2	121.942 (12)	Sn3^xiii—Ni5—Sn2^x	110.2 (4)
Ni3^vi—Zn3—Sn2	58.007 (11)	Zn2^xviii—Ni5—Sn2^x	74.5 (12)
Ni3^vii—Zn3—Sn2	58.007 (11)	Zn2—Ni5—Sn2^x	74.5 (12)
Sn3^xi—Zn3—Sn2	90.92 (8)	Zn2^x—Ni5—Sn2^x	4.6 (6)
Sn3^xii—Zn3—Sn2	90.92 (8)	Zn2^xi—Ni5—Sn2^x	118 (3)
Ni5—Zn3—Sn2	52.9 (10)	Sn2^xviii—Ni5—Sn2^x	76.5 (11)
Ni5^xiii—Zn3—Sn2	129.5 (10)	Sn2^xi—Ni5—Sn2^x	122 (2)
Ni4^xvi—Zn3—Sn2^xvi	47.87 (15)	Sn3—Ni5—Sn2	74.4 (2)
Ni4—Zn3—Sn2^xvi	129.8 (2)	Sn3^xi—Ni5—Sn2	110.2 (4)
Ni3^xiv—Zn3—Sn2^xvi	58.007 (11)	Sn3^xii—Ni5—Sn2	110.2 (4)
Ni3^xv—Zn3—Sn2^xvi	58.007 (11)	Sn3^xiii—Ni5—Sn2	163 (2)
Ni3^vi—Zn3—Sn2^xvi	121.942 (12)	Zn2^xviii—Ni5—Sn2	118 (3)
Ni3^vii—Zn3—Sn2^xvi	121.942 (12)	Zn2—Ni5—Sn2	4.6 (6)
Sn3^xi—Zn3—Sn2^xvi	90.92 (8)	Zn2^x—Ni5—Sn2	74.5 (12)
Sn3^xii—Zn3—Sn2^xvi	90.92 (8)	Zn2^xi—Ni5—Sn2	74.5 (12)
Ni5—Zn3—Sn2^xvi	129.5 (10)	Sn2^xviii—Ni5—Sn2	122 (2)
Ni5^xiii—Zn3—Sn2^xvi	52.9 (10)	Sn2^xi—Ni5—Sn2	76.5 (11)
Sn2—Zn3—Sn2^xvi	177.7 (2)	Sn2^x—Ni5—Sn2	76.5 (11)

Symmetry codes: (i) x, −y+1, −z+1; (ii) x, −y+1, z; (iii) x, y, −z+1; (iv) −x, −y+1, −z+1; (v) −x, −y+1, z; (vi) y, z, x; (vii) z, x, y; (viii) z, −x+1, −y+1; (ix) −x, y, z; (x) x, −y, z; (xi) x, y, −z; (xii) −x+1, −y, z; (xiii) −x+1, −y, −z; (xiv) −y+1, z, −x; (xv) −z+1, x, y; (xvi) −x+1, y, z; (xvii) −x, −y, −z; (xviii) x, −y, −z; (xix) −x, y, −z; (xx) −x, −y, z; (xxi) −y+1, −z+1, −x+1; (xxii) −z+1, −x+1, −y+1; (xxiii) −x+1, −y+1, −z+1; (xxiv) −x+1, −y+1, z; (xxv) −x+1, y, −z+1; (xxvi) −y, z, −x+1; (xxvii) −z, x, y.