| Literature DB >> 24454012 |
Andrij Stetskiv1, Ivan Tarasiuk2, Renata Misztal3, Volodymyr Pavlyuk4.
Abstract
The quaternary thulium nickel/lithium distannide, TmNi1-x Li x Sn2 (x = 0.035), crystallizes in the ortho-rhom-bic LuNiSn2 structure type. The asymmetric unit contains three Tm sites, six Sn sites, two Ni sites and one Ni/Li site [relative occupancies = 0.895 (8):0.185 (8)]. Site symmetries are .m. for all atoms. The 17-, 18- and 19-vertex distorted pseudo-Frank-Kasper polyhedra are typical for all Tm atoms. Four Sn atoms are enclosed in a 12-vertex deformed cubo-octa-hedron, and another Sn atom is enclosed in a penta-gonal prism with three added atoms. A tricapped trigonal prism is typical for a further Sn atom. The coordination number for all Ni atoms and Ni/Li statistical mixtures is 12 (fourcapped trigonal prism [Ni/LiTm5Sn5]). Tm atoms form the base of a prism and Ni/Li atoms are at the centres of the side faces of an [SnTm6Ni/Li3] prism. These isolated prisms are implemented into three-dimensional-nets built out of Sn atoms. Electronic structure calculations using TB-LMTO-ASA suggest that the Tm and Ni/Li atoms form positively charged n[TmNi/Li] (m+) polycations which compensate the negative charge of 2n[Sn] (m-) polyanions. Analysis of the inter-atomic distances and electronic structure calculations indicate the dominance of a metallic type of bonding.Entities:
Year: 2013 PMID: 24454012 PMCID: PMC3884236 DOI: 10.1107/S1600536813027335
Source DB: PubMed Journal: Acta Crystallogr Sect E Struct Rep Online ISSN: 1600-5368
| TmNi0.965Li0.035Sn2 | |
| Orthorhombic, | Mo |
| Hall symbol: -P 2ac 2n | Cell parameters from 1304 reflections |
| θ = 3.8–27.5° | |
| µ = 45.77 mm−1 | |
| Prism, metallic dark gray | |
| 0.07 × 0.03 × 0.02 mm |
| Oxford Diffraction Xcalibur3 CCD diffractometer | 1304 independent reflections |
| Radiation source: fine-focus sealed tube | 1096 reflections with |
| Graphite monochromator | |
| Detector resolution: 0 pixels mm-1 | θmax = 27.5°, θmin = 3.8° |
| ω scans | |
| Absorption correction: analytical ( | |
| 6737 measured reflections |
| Refinement on | Primary atom site location: structure-invariant direct methods |
| Least-squares matrix: full | Secondary atom site location: difference Fourier map |
| (Δ/σ)max = 0.006 | |
| Δρmax = 2.07 e Å−3 | |
| 1304 reflections | Δρmin = −2.13 e Å−3 |
| 76 parameters | Extinction correction: |
| 0 restraints | Extinction coefficient: 0.00030 (3) |
| 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 |
| Occ. (<1) | |||||
| Tm1 | 0.35386 (4) | 0.2500 | 0.10177 (4) | 0.01166 (15) | |
| Tm2 | 0.15061 (4) | 0.2500 | −0.02797 (4) | 0.01120 (15) | |
| Tm3 | 0.12704 (4) | 0.2500 | 0.22713 (4) | 0.01269 (15) | |
| Sn4 | 0.02119 (5) | −0.2500 | −0.07931 (6) | 0.0105 (2) | |
| Sn5 | 0.46864 (6) | −0.2500 | 0.23607 (7) | 0.0158 (2) | |
| Sn6 | 0.21452 (6) | −0.2500 | 0.10507 (6) | 0.0129 (2) | |
| Sn7 | 0.32559 (6) | 0.2500 | −0.13071 (6) | 0.0118 (2) | |
| Sn8 | 0.31632 (6) | 0.2500 | 0.32114 (7) | 0.0157 (2) | |
| Sn9 | 0.45722 (6) | −0.2500 | −0.05229 (7) | 0.0154 (2) | |
| Ni10 | 0.29945 (11) | −0.2500 | −0.04622 (13) | 0.0133 (4) | |
| Ni11 | 0.05291 (10) | −0.2500 | 0.10639 (12) | 0.0122 (4) | |
| Ni12 | 0.30709 (12) | −0.2500 | 0.24440 (14) | 0.0162 (7) | 0.895 (8) |
| Li12 | 0.30709 (12) | −0.2500 | 0.24440 (14) | 0.0162 (7) | 0.105 (8) |
| Tm1 | 0.0109 (3) | 0.0140 (3) | 0.0100 (3) | 0.000 | 0.0005 (2) | 0.000 |
| Tm2 | 0.0107 (3) | 0.0124 (3) | 0.0105 (3) | 0.000 | 0.0011 (2) | 0.000 |
| Tm3 | 0.0157 (3) | 0.0136 (3) | 0.0087 (3) | 0.000 | −0.0028 (2) | 0.000 |
| Sn4 | 0.0092 (4) | 0.0106 (4) | 0.0117 (4) | 0.000 | 0.0002 (3) | 0.000 |
| Sn5 | 0.0162 (5) | 0.0174 (4) | 0.0138 (5) | 0.000 | −0.0035 (4) | 0.000 |
| Sn6 | 0.0117 (5) | 0.0124 (4) | 0.0145 (5) | 0.000 | 0.0009 (3) | 0.000 |
| Sn7 | 0.0140 (5) | 0.0106 (4) | 0.0107 (5) | 0.000 | 0.0014 (3) | 0.000 |
| Sn8 | 0.0114 (5) | 0.0231 (5) | 0.0127 (5) | 0.000 | −0.0001 (3) | 0.000 |
| Sn9 | 0.0087 (5) | 0.0174 (5) | 0.0201 (5) | 0.000 | −0.0015 (4) | 0.000 |
| Ni10 | 0.0117 (9) | 0.0143 (8) | 0.0138 (9) | 0.000 | −0.0009 (7) | 0.000 |
| Ni11 | 0.0116 (8) | 0.0124 (8) | 0.0127 (9) | 0.000 | −0.0004 (6) | 0.000 |
| Ni12 | 0.0220 (12) | 0.0148 (11) | 0.0117 (11) | 0.000 | −0.0044 (8) | 0.000 |
| Li12 | 0.0220 (12) | 0.0148 (11) | 0.0117 (11) | 0.000 | −0.0044 (8) | 0.000 |
| Tm1—Li12i | 3.0938 (15) | Sn5—Tm1xi | 3.4522 (9) |
| Tm1—Ni12i | 3.0938 (15) | Sn6—Ni12 | 2.492 (2) |
| Tm1—Ni12 | 3.0938 (15) | Sn6—Ni10 | 2.565 (2) |
| Tm1—Sn9ii | 3.1104 (11) | Sn6—Ni11 | 2.5904 (19) |
| Tm1—Sn6 | 3.1306 (8) | Sn6—Tm2xi | 3.0844 (8) |
| Tm1—Sn6i | 3.1306 (8) | Sn6—Tm1xi | 3.1306 (8) |
| Tm1—Ni10 | 3.1768 (14) | Sn6—Tm3xi | 3.1387 (8) |
| Tm1—Ni10i | 3.1768 (14) | Sn7—Ni10i | 2.5415 (10) |
| Tm1—Sn8 | 3.2089 (11) | Sn7—Ni10 | 2.5415 (10) |
| Tm1—Sn7 | 3.3711 (11) | Sn7—Li12iii | 2.783 (2) |
| Tm1—Sn5i | 3.4522 (9) | Sn7—Ni12iii | 2.783 (2) |
| Tm2—Sn6i | 3.0844 (8) | Sn7—Tm3iii | 3.0916 (8) |
| Tm2—Sn6 | 3.0844 (8) | Sn7—Tm3iv | 3.0916 (8) |
| Tm2—Sn4 | 3.1076 (8) | Sn7—Sn8iii | 3.2345 (9) |
| Tm2—Sn4i | 3.1076 (8) | Sn7—Sn8iv | 3.2345 (9) |
| Tm2—Sn8iii | 3.1290 (8) | Sn7—Sn9i | 3.2451 (10) |
| Tm2—Sn8iv | 3.1290 (8) | Sn7—Sn9 | 3.2451 (10) |
| Tm2—Sn4v | 3.1557 (11) | Sn8—Ni12 | 2.4591 (10) |
| Tm2—Sn7 | 3.1695 (11) | Sn8—Li12i | 2.4591 (10) |
| Tm2—Ni10i | 3.2512 (13) | Sn8—Ni12i | 2.4591 (10) |
| Tm2—Ni10 | 3.2512 (13) | Sn8—Ni10vii | 2.660 (2) |
| Tm2—Ni11i | 3.3150 (13) | Sn8—Sn4vii | 2.9714 (13) |
| Tm2—Ni11 | 3.3150 (13) | Sn8—Tm2vi | 3.1290 (8) |
| Tm3—Ni11 | 3.0383 (13) | Sn8—Tm2vii | 3.1290 (8) |
| Tm3—Ni11i | 3.0383 (13) | Sn8—Sn7vii | 3.2345 (9) |
| Tm3—Sn7vi | 3.0916 (8) | Sn8—Sn7vi | 3.2345 (9) |
| Tm3—Sn7vii | 3.0916 (8) | Sn9—Ni10 | 2.5303 (19) |
| Tm3—Sn6 | 3.1387 (8) | Sn9—Sn9ii | 2.9914 (13) |
| Tm3—Sn6i | 3.1387 (8) | Sn9—Sn9xiv | 2.9914 (13) |
| Tm3—Sn4v | 3.1868 (10) | Sn9—Tm1ii | 3.1104 (11) |
| Tm3—Sn8 | 3.3210 (11) | Sn9—Sn7xi | 3.2451 (10) |
| Tm3—Sn5viii | 3.3963 (8) | Sn9—Tm3iii | 3.4450 (12) |
| Tm3—Sn5ix | 3.3963 (8) | Sn9—Tm1xi | 3.5291 (9) |
| Tm3—Sn9vii | 3.4450 (12) | Ni10—Sn7xi | 2.5415 (10) |
| Tm3—Ni10vii | 3.4631 (19) | Ni10—Sn8iii | 2.660 (2) |
| Sn4—Ni11x | 2.5242 (9) | Ni10—Tm1xi | 3.1768 (14) |
| Sn4—Ni11v | 2.5242 (9) | Ni10—Tm2xi | 3.2512 (13) |
| Sn4—Ni11 | 2.7163 (19) | Ni10—Tm3iii | 3.4631 (19) |
| Sn4—Sn8iii | 2.9714 (13) | Ni11—Sn4x | 2.5242 (9) |
| Sn4—Tm2xi | 3.1076 (8) | Ni11—Sn4v | 2.5242 (9) |
| Sn4—Tm2v | 3.1557 (11) | Ni11—Sn5viii | 2.636 (2) |
| Sn4—Tm3v | 3.1868 (10) | Ni11—Tm3xi | 3.0383 (13) |
| Sn4—Sn4v | 3.2350 (13) | Ni11—Tm2xi | 3.3150 (13) |
| Sn4—Sn4x | 3.2350 (13) | Ni11—Tm2v | 3.4512 (17) |
| Sn5—Ni12 | 2.592 (2) | Ni12—Sn8xi | 2.4591 (10) |
| Sn5—Ni11xii | 2.636 (2) | Ni12—Sn7vii | 2.783 (2) |
| Sn5—Tm3xii | 3.3963 (9) | Ni12—Tm1xi | 3.0938 (15) |
| Sn5—Tm3xiii | 3.3963 (8) | Ni12—Tm2vii | 3.340 (2) |
| Li12i—Tm1—Ni12i | 0.00 (9) | Tm2—Sn6—Tm3 | 72.611 (17) |
| Li12i—Tm1—Ni12 | 90.29 (6) | Tm1—Sn6—Tm3 | 80.659 (16) |
| Ni12i—Tm1—Ni12 | 90.29 (6) | Tm1xi—Sn6—Tm3 | 144.75 (4) |
| Li12i—Tm1—Sn9ii | 112.79 (4) | Tm3xi—Sn6—Tm3 | 88.65 (3) |
| Ni12i—Tm1—Sn9ii | 112.79 (4) | Ni10i—Sn7—Ni10 | 119.29 (8) |
| Ni12—Tm1—Sn9ii | 112.79 (4) | Ni10i—Sn7—Li12iii | 100.49 (5) |
| Li12i—Tm1—Sn6 | 108.28 (4) | Ni10—Sn7—Li12iii | 100.49 (5) |
| Ni12i—Tm1—Sn6 | 108.28 (4) | Ni10i—Sn7—Ni12iii | 100.49 (5) |
| Ni12—Tm1—Sn6 | 47.19 (4) | Ni10—Sn7—Ni12iii | 100.49 (5) |
| Sn9ii—Tm1—Sn6 | 134.268 (15) | Li12iii—Sn7—Ni12iii | 0.00 (8) |
| Li12i—Tm1—Sn6i | 47.19 (4) | Ni10i—Sn7—Tm3iii | 165.51 (5) |
| Ni12i—Tm1—Sn6i | 47.19 (4) | Ni10—Sn7—Tm3iii | 75.16 (4) |
| Ni12—Tm1—Sn6i | 108.28 (4) | Li12iii—Sn7—Tm3iii | 76.21 (4) |
| Sn9ii—Tm1—Sn6i | 134.268 (15) | Ni12iii—Sn7—Tm3iii | 76.21 (4) |
| Sn6—Tm1—Sn6i | 88.94 (3) | Ni10i—Sn7—Tm3iv | 75.16 (4) |
| Li12i—Tm1—Ni10 | 150.02 (5) | Ni10—Sn7—Tm3iv | 165.51 (5) |
| Ni12i—Tm1—Ni10 | 150.02 (5) | Li12iii—Sn7—Tm3iv | 76.21 (4) |
| Ni12—Tm1—Ni10 | 83.54 (4) | Ni12iii—Sn7—Tm3iv | 76.21 (4) |
| Sn9ii—Tm1—Ni10 | 96.56 (4) | Tm3iii—Sn7—Tm3iv | 90.37 (3) |
| Sn6—Tm1—Ni10 | 47.98 (4) | Ni10i—Sn7—Tm2 | 68.39 (4) |
| Sn6i—Tm1—Ni10 | 107.33 (3) | Ni10—Sn7—Tm2 | 68.39 (4) |
| Li12i—Tm1—Ni10i | 83.54 (4) | Li12iii—Sn7—Tm2 | 67.91 (5) |
| Ni12i—Tm1—Ni10i | 83.54 (4) | Ni12iii—Sn7—Tm2 | 67.91 (5) |
| Ni12—Tm1—Ni10i | 150.02 (5) | Tm3iii—Sn7—Tm2 | 121.67 (2) |
| Sn9ii—Tm1—Ni10i | 96.56 (4) | Tm3iv—Sn7—Tm2 | 121.67 (2) |
| Sn6—Tm1—Ni10i | 107.33 (3) | Ni10i—Sn7—Sn8iii | 124.84 (5) |
| Sn6i—Tm1—Ni10i | 47.98 (4) | Ni10—Sn7—Sn8iii | 53.21 (4) |
| Ni10—Tm1—Ni10i | 87.31 (5) | Li12iii—Sn7—Sn8iii | 47.52 (2) |
| Li12i—Tm1—Sn8 | 45.89 (3) | Ni12iii—Sn7—Sn8iii | 47.52 (2) |
| Ni12i—Tm1—Sn8 | 45.89 (3) | Tm3iii—Sn7—Sn8iii | 63.28 (2) |
| Ni12—Tm1—Sn8 | 45.89 (3) | Tm3iv—Sn7—Sn8iii | 120.82 (3) |
| Sn9ii—Tm1—Sn8 | 114.02 (3) | Tm2—Sn7—Sn8iii | 58.49 (2) |
| Sn6—Tm1—Sn8 | 81.45 (2) | Ni10i—Sn7—Sn8iv | 53.21 (4) |
| Sn6i—Tm1—Sn8 | 81.45 (2) | Ni10—Sn7—Sn8iv | 124.84 (5) |
| Ni10—Tm1—Sn8 | 127.30 (3) | Li12iii—Sn7—Sn8iv | 47.52 (2) |
| Ni10i—Tm1—Sn8 | 127.30 (3) | Ni12iii—Sn7—Sn8iv | 47.52 (2) |
| Li12i—Tm1—Sn7 | 128.59 (3) | Tm3iii—Sn7—Sn8iv | 120.82 (3) |
| Ni12i—Tm1—Sn7 | 128.59 (3) | Tm3iv—Sn7—Sn8iv | 63.28 (2) |
| Ni12—Tm1—Sn7 | 128.59 (3) | Tm2—Sn7—Sn8iv | 58.49 (2) |
| Sn9ii—Tm1—Sn7 | 84.51 (3) | Sn8iii—Sn7—Sn8iv | 85.38 (3) |
| Sn6—Tm1—Sn7 | 85.36 (2) | Ni10i—Sn7—Sn9i | 50.07 (4) |
| Sn6i—Tm1—Sn7 | 85.36 (2) | Ni10—Sn7—Sn9i | 121.64 (5) |
| Ni10—Tm1—Sn7 | 45.56 (3) | Li12iii—Sn7—Sn9i | 136.12 (2) |
| Ni10i—Tm1—Sn7 | 45.56 (3) | Ni12iii—Sn7—Sn9i | 136.12 (2) |
| Sn8—Tm1—Sn7 | 161.47 (3) | Tm3iii—Sn7—Sn9i | 123.31 (3) |
| Li12i—Tm1—Sn5i | 46.26 (4) | Tm3iv—Sn7—Sn9i | 65.81 (2) |
| Ni12i—Tm1—Sn5i | 46.26 (4) | Tm2—Sn7—Sn9i | 114.43 (3) |
| Ni12—Tm1—Sn5i | 102.08 (4) | Sn8iii—Sn7—Sn9i | 171.77 (4) |
| Sn9ii—Tm1—Sn5i | 66.98 (2) | Sn8iv—Sn7—Sn9i | 94.201 (17) |
| Sn6—Tm1—Sn5i | 144.76 (3) | Ni10i—Sn7—Sn9 | 121.64 (5) |
| Sn6i—Tm1—Sn5i | 85.797 (19) | Ni10—Sn7—Sn9 | 50.07 (4) |
| Ni10—Tm1—Sn5i | 163.54 (4) | Li12iii—Sn7—Sn9 | 136.12 (2) |
| Ni10i—Tm1—Sn5i | 94.70 (3) | Ni12iii—Sn7—Sn9 | 136.12 (2) |
| Sn8—Tm1—Sn5i | 63.31 (2) | Tm3iii—Sn7—Sn9 | 65.81 (2) |
| Sn7—Tm1—Sn5i | 128.72 (2) | Tm3iv—Sn7—Sn9 | 123.31 (3) |
| Sn6i—Tm2—Sn6 | 90.64 (3) | Tm2—Sn7—Sn9 | 114.43 (3) |
| Sn6i—Tm2—Sn4 | 150.53 (3) | Sn8iii—Sn7—Sn9 | 94.201 (17) |
| Sn6—Tm2—Sn4 | 82.359 (19) | Sn8iv—Sn7—Sn9 | 171.77 (4) |
| Sn6i—Tm2—Sn4i | 82.359 (19) | Sn9i—Sn7—Sn9 | 85.04 (3) |
| Sn6—Tm2—Sn4i | 150.53 (3) | Ni10i—Sn7—Tm1 | 63.18 (4) |
| Sn4—Tm2—Sn4i | 89.78 (3) | Ni10—Sn7—Tm1 | 63.18 (4) |
| Sn6i—Tm2—Sn8iii | 150.63 (3) | Li12iii—Sn7—Tm1 | 137.88 (5) |
| Sn6—Tm2—Sn8iii | 82.81 (2) | Ni12iii—Sn7—Tm1 | 137.88 (5) |
| Sn4—Tm2—Sn8iii | 56.91 (2) | Tm3iii—Sn7—Tm1 | 128.44 (2) |
| Sn4i—Tm2—Sn8iii | 116.31 (3) | Tm3iv—Sn7—Tm1 | 128.44 (2) |
| Sn6i—Tm2—Sn8iv | 82.81 (2) | Tm2—Sn7—Tm1 | 69.97 (2) |
| Sn6—Tm2—Sn8iv | 150.63 (3) | Sn8iii—Sn7—Tm1 | 107.85 (3) |
| Sn4—Tm2—Sn8iv | 116.31 (3) | Sn8iv—Sn7—Tm1 | 107.85 (3) |
| Sn4i—Tm2—Sn8iv | 56.91 (2) | Sn9i—Sn7—Tm1 | 64.44 (2) |
| Sn8iii—Tm2—Sn8iv | 89.00 (3) | Sn9—Sn7—Tm1 | 64.44 (2) |
| Sn6i—Tm2—Sn4v | 89.26 (2) | Ni12—Sn8—Li12i | 126.20 (9) |
| Sn6—Tm2—Sn4v | 89.26 (2) | Ni12—Sn8—Ni12i | 126.20 (9) |
| Sn4—Tm2—Sn4v | 62.19 (2) | Li12i—Sn8—Ni12i | 0.00 (12) |
| Sn4i—Tm2—Sn4v | 62.19 (2) | Ni12—Sn8—Ni10vii | 106.22 (5) |
| Sn8iii—Tm2—Sn4v | 119.10 (2) | Li12i—Sn8—Ni10vii | 106.22 (5) |
| Sn8iv—Tm2—Sn4v | 119.10 (2) | Ni12i—Sn8—Ni10vii | 106.22 (5) |
| Sn6i—Tm2—Sn7 | 89.70 (2) | Ni12—Sn8—Sn4vii | 105.58 (5) |
| Sn6—Tm2—Sn7 | 89.70 (2) | Li12i—Sn8—Sn4vii | 105.58 (5) |
| Sn4—Tm2—Sn7 | 118.70 (2) | Ni12i—Sn8—Sn4vii | 105.58 (5) |
| Sn4i—Tm2—Sn7 | 118.70 (2) | Ni10vii—Sn8—Sn4vii | 105.46 (5) |
| Sn8iii—Tm2—Sn7 | 61.80 (2) | Ni12—Sn8—Tm2vi | 161.07 (5) |
| Sn8iv—Tm2—Sn7 | 61.80 (2) | Li12i—Sn8—Tm2vi | 72.29 (4) |
| Sn4v—Tm2—Sn7 | 178.52 (3) | Ni12i—Sn8—Tm2vi | 72.29 (4) |
| Sn6i—Tm2—Ni10i | 47.67 (3) | Ni10vii—Sn8—Tm2vi | 67.78 (3) |
| Sn6—Tm2—Ni10i | 106.61 (3) | Sn4vii—Sn8—Tm2vi | 61.18 (2) |
| Sn4—Tm2—Ni10i | 161.22 (4) | Ni12—Sn8—Tm2vii | 72.29 (4) |
| Sn4i—Tm2—Ni10i | 89.69 (3) | Li12i—Sn8—Tm2vii | 161.07 (5) |
| Sn8iii—Tm2—Ni10i | 107.01 (3) | Ni12i—Sn8—Tm2vii | 161.07 (5) |
| Sn8iv—Tm2—Ni10i | 49.23 (3) | Ni10vii—Sn8—Tm2vii | 67.78 (3) |
| Sn4v—Tm2—Ni10i | 132.82 (3) | Sn4vii—Sn8—Tm2vii | 61.18 (2) |
| Sn7—Tm2—Ni10i | 46.61 (3) | Tm2vi—Sn8—Tm2vii | 89.00 (3) |
| Sn6i—Tm2—Ni10 | 106.61 (3) | Ni12—Sn8—Tm1 | 64.59 (5) |
| Sn6—Tm2—Ni10 | 47.67 (3) | Li12i—Sn8—Tm1 | 64.59 (5) |
| Sn4—Tm2—Ni10 | 89.69 (3) | Ni12i—Sn8—Tm1 | 64.59 (5) |
| Sn4i—Tm2—Ni10 | 161.22 (4) | Ni10vii—Sn8—Tm1 | 146.57 (5) |
| Sn8iii—Tm2—Ni10 | 49.23 (3) | Sn4vii—Sn8—Tm1 | 107.97 (3) |
| Sn8iv—Tm2—Ni10 | 107.01 (3) | Tm2vi—Sn8—Tm1 | 130.45 (2) |
| Sn4v—Tm2—Ni10 | 132.82 (3) | Tm2vii—Sn8—Tm1 | 130.45 (2) |
| Sn7—Tm2—Ni10 | 46.61 (3) | Ni12—Sn8—Sn7vii | 56.56 (5) |
| Ni10i—Tm2—Ni10 | 84.84 (4) | Li12i—Sn8—Sn7vii | 131.17 (6) |
| Sn6i—Tm2—Ni11i | 47.59 (3) | Ni12i—Sn8—Sn7vii | 131.17 (6) |
| Sn6—Tm2—Ni11i | 105.45 (3) | Ni10vii—Sn8—Sn7vii | 49.92 (3) |
| Sn4—Tm2—Ni11i | 106.85 (3) | Sn4vii—Sn8—Sn7vii | 120.89 (3) |
| Sn4i—Tm2—Ni11i | 49.91 (3) | Tm2vi—Sn8—Sn7vii | 116.50 (3) |
| Sn8iii—Tm2—Ni11i | 161.30 (4) | Tm2vii—Sn8—Sn7vii | 59.72 (2) |
| Sn8iv—Tm2—Ni11i | 91.14 (3) | Tm1—Sn8—Sn7vii | 110.00 (3) |
| Sn4v—Tm2—Ni11i | 45.84 (2) | Ni12—Sn8—Sn7vi | 131.17 (6) |
| Sn7—Tm2—Ni11i | 133.57 (3) | Li12i—Sn8—Sn7vi | 56.56 (5) |
| Ni10i—Tm2—Ni11i | 86.98 (3) | Ni12i—Sn8—Sn7vi | 56.56 (5) |
| Ni10—Tm2—Ni11i | 147.13 (5) | Ni10vii—Sn8—Sn7vi | 49.92 (3) |
| Sn6i—Tm2—Ni11 | 105.45 (3) | Sn4vii—Sn8—Sn7vi | 120.89 (3) |
| Sn6—Tm2—Ni11 | 47.59 (3) | Tm2vi—Sn8—Sn7vi | 59.72 (2) |
| Sn4—Tm2—Ni11 | 49.91 (3) | Tm2vii—Sn8—Sn7vi | 116.50 (3) |
| Sn4i—Tm2—Ni11 | 106.85 (3) | Tm1—Sn8—Sn7vi | 110.00 (3) |
| Sn8iii—Tm2—Ni11 | 91.14 (3) | Sn7vii—Sn8—Sn7vi | 85.38 (3) |
| Sn8iv—Tm2—Ni11 | 161.30 (4) | Ni12—Sn8—Tm3 | 76.27 (5) |
| Sn4v—Tm2—Ni11 | 45.84 (2) | Li12i—Sn8—Tm3 | 76.27 (5) |
| Sn7—Tm2—Ni11 | 133.57 (3) | Ni12i—Sn8—Tm3 | 76.27 (5) |
| Ni10i—Tm2—Ni11 | 147.13 (5) | Ni10vii—Sn8—Tm3 | 69.76 (5) |
| Ni10—Tm2—Ni11 | 86.98 (3) | Sn4vii—Sn8—Tm3 | 175.22 (4) |
| Ni11i—Tm2—Ni11 | 82.84 (4) | Tm2vi—Sn8—Tm3 | 115.88 (2) |
| Ni11—Tm3—Ni11i | 92.41 (5) | Tm2vii—Sn8—Tm3 | 115.88 (2) |
| Ni11—Tm3—Sn7vi | 170.17 (4) | Tm1—Sn8—Tm3 | 76.81 (3) |
| Ni11i—Tm3—Sn7vi | 87.78 (3) | Sn7vii—Sn8—Tm3 | 56.26 (2) |
| Ni11—Tm3—Sn7vii | 87.78 (3) | Sn7vi—Sn8—Tm3 | 56.26 (2) |
| Ni11i—Tm3—Sn7vii | 170.17 (4) | Ni10—Sn9—Sn9ii | 116.16 (5) |
| Sn7vi—Tm3—Sn7vii | 90.37 (3) | Ni10—Sn9—Sn9xiv | 116.16 (5) |
| Ni11—Tm3—Sn6 | 49.56 (3) | Sn9ii—Sn9—Sn9xiv | 94.30 (5) |
| Ni11i—Tm3—Sn6 | 111.10 (4) | Ni10—Sn9—Tm1ii | 168.76 (6) |
| Sn7vi—Tm3—Sn6 | 139.03 (3) | Sn9ii—Sn9—Tm1ii | 70.64 (3) |
| Sn7vii—Tm3—Sn6 | 76.34 (2) | Sn9xiv—Sn9—Tm1ii | 70.64 (3) |
| Ni11—Tm3—Sn6i | 111.10 (4) | Ni10—Sn9—Sn7xi | 50.37 (3) |
| Ni11i—Tm3—Sn6i | 49.56 (3) | Sn9ii—Sn9—Sn7xi | 165.45 (5) |
| Sn7vi—Tm3—Sn6i | 76.34 (2) | Sn9xiv—Sn9—Sn7xi | 88.68 (2) |
| Sn7vii—Tm3—Sn6i | 139.03 (3) | Tm1ii—Sn9—Sn7xi | 123.61 (3) |
| Sn6—Tm3—Sn6i | 88.65 (3) | Ni10—Sn9—Sn7 | 50.37 (3) |
| Ni11—Tm3—Sn4v | 47.77 (3) | Sn9ii—Sn9—Sn7 | 88.68 (2) |
| Ni11i—Tm3—Sn4v | 47.77 (3) | Sn9xiv—Sn9—Sn7 | 165.45 (5) |
| Sn7vi—Tm3—Sn4v | 128.566 (19) | Tm1ii—Sn9—Sn7 | 123.61 (3) |
| Sn7vii—Tm3—Sn4v | 128.566 (19) | Sn7xi—Sn9—Sn7 | 85.04 (3) |
| Sn6—Tm3—Sn4v | 87.74 (2) | Ni10—Sn9—Tm3iii | 68.89 (5) |
| Sn6i—Tm3—Sn4v | 87.74 (2) | Sn9ii—Sn9—Tm3iii | 129.93 (3) |
| Ni11—Tm3—Sn8 | 126.12 (3) | Sn9xiv—Sn9—Tm3iii | 129.93 (3) |
| Ni11i—Tm3—Sn8 | 126.12 (3) | Tm1ii—Sn9—Tm3iii | 99.87 (3) |
| Sn7vi—Tm3—Sn8 | 60.46 (2) | Sn7xi—Sn9—Tm3iii | 54.95 (2) |
| Sn7vii—Tm3—Sn8 | 60.46 (2) | Sn7—Sn9—Tm3iii | 54.95 (2) |
| Sn6—Tm3—Sn8 | 79.58 (2) | Ni10—Sn9—Tm1 | 60.61 (3) |
| Sn6i—Tm3—Sn8 | 79.58 (2) | Sn9ii—Sn9—Tm1 | 56.25 (3) |
| Sn4v—Tm3—Sn8 | 162.20 (3) | Sn9xiv—Sn9—Tm1 | 110.83 (5) |
| Ni11—Tm3—Sn5viii | 47.97 (4) | Tm1ii—Sn9—Tm1 | 126.90 (2) |
| Ni11i—Tm3—Sn5viii | 105.23 (3) | Sn7xi—Sn9—Tm1 | 109.43 (3) |
| Sn7vi—Tm3—Sn5viii | 122.60 (3) | Sn7—Sn9—Tm1 | 59.51 (2) |
| Sn7vii—Tm3—Sn5viii | 67.83 (2) | Tm3iii—Sn9—Tm1 | 113.14 (2) |
| Sn6—Tm3—Sn5viii | 88.266 (18) | Ni10—Sn9—Tm1xi | 60.61 (3) |
| Sn6i—Tm3—Sn5viii | 150.70 (3) | Sn9ii—Sn9—Tm1xi | 110.83 (5) |
| Sn4v—Tm3—Sn5viii | 63.03 (2) | Sn9xiv—Sn9—Tm1xi | 56.25 (3) |
| Sn8—Tm3—Sn5viii | 128.29 (2) | Tm1ii—Sn9—Tm1xi | 126.90 (2) |
| Ni11—Tm3—Sn5ix | 105.23 (3) | Sn7xi—Sn9—Tm1xi | 59.51 (2) |
| Ni11i—Tm3—Sn5ix | 47.97 (4) | Sn7—Sn9—Tm1xi | 109.43 (3) |
| Sn7vi—Tm3—Sn5ix | 67.83 (2) | Tm3iii—Sn9—Tm1xi | 113.14 (2) |
| Sn7vii—Tm3—Sn5ix | 122.60 (3) | Tm1—Sn9—Tm1xi | 76.84 (2) |
| Sn6—Tm3—Sn5ix | 150.70 (3) | Sn9—Ni10—Sn7xi | 79.56 (5) |
| Sn6i—Tm3—Sn5ix | 88.266 (18) | Sn9—Ni10—Sn7 | 79.56 (5) |
| Sn4v—Tm3—Sn5ix | 63.03 (2) | Sn7xi—Ni10—Sn7 | 119.29 (8) |
| Sn8—Tm3—Sn5ix | 128.29 (2) | Sn9—Ni10—Sn6 | 124.03 (8) |
| Sn5viii—Tm3—Sn5ix | 80.44 (2) | Sn7xi—Ni10—Sn6 | 119.49 (4) |
| Ni11—Tm3—Sn9vii | 111.84 (4) | Sn7—Ni10—Sn6 | 119.49 (4) |
| Ni11i—Tm3—Sn9vii | 111.84 (4) | Sn9—Ni10—Sn8iii | 132.26 (8) |
| Sn7vi—Tm3—Sn9vii | 59.24 (2) | Sn7xi—Ni10—Sn8iii | 76.87 (5) |
| Sn7vii—Tm3—Sn9vii | 59.24 (2) | Sn7—Ni10—Sn8iii | 76.87 (5) |
| Sn6—Tm3—Sn9vii | 133.565 (16) | Sn6—Ni10—Sn8iii | 103.71 (7) |
| Sn6i—Tm3—Sn9vii | 133.565 (16) | Sn9—Ni10—Tm1 | 75.45 (4) |
| Sn4v—Tm3—Sn9vii | 108.72 (3) | Sn7xi—Ni10—Tm1 | 150.48 (7) |
| Sn8—Tm3—Sn9vii | 89.08 (3) | Sn7—Ni10—Tm1 | 71.26 (3) |
| Sn5viii—Tm3—Sn9vii | 64.13 (2) | Sn6—Ni10—Tm1 | 65.06 (4) |
| Sn5ix—Tm3—Sn9vii | 64.13 (2) | Sn8iii—Ni10—Tm1 | 132.15 (3) |
| Ni11—Tm3—Ni10vii | 132.07 (3) | Sn9—Ni10—Tm1xi | 75.45 (4) |
| Ni11i—Tm3—Ni10vii | 132.07 (3) | Sn7xi—Ni10—Tm1xi | 71.26 (3) |
| Sn7vi—Tm3—Ni10vii | 45.186 (14) | Sn7—Ni10—Tm1xi | 150.48 (7) |
| Sn7vii—Tm3—Ni10vii | 45.186 (14) | Sn6—Ni10—Tm1xi | 65.06 (4) |
| Sn6—Tm3—Ni10vii | 111.93 (3) | Sn8iii—Ni10—Tm1xi | 132.15 (3) |
| Sn6i—Tm3—Ni10vii | 111.93 (3) | Tm1—Ni10—Tm1xi | 87.31 (5) |
| Sn4v—Tm3—Ni10vii | 151.69 (4) | Sn9—Ni10—Tm2xi | 137.40 (2) |
| Sn8—Tm3—Ni10vii | 46.11 (3) | Sn7xi—Ni10—Tm2xi | 65.00 (3) |
| Sn5viii—Tm3—Ni10vii | 96.20 (3) | Sn7—Ni10—Tm2xi | 137.87 (7) |
| Sn5ix—Tm3—Ni10vii | 96.20 (3) | Sn6—Ni10—Tm2xi | 62.75 (4) |
| Sn9vii—Tm3—Ni10vii | 42.97 (3) | Sn8iii—Ni10—Tm2xi | 62.99 (4) |
| Ni11x—Sn4—Ni11v | 120.64 (7) | Tm1—Ni10—Tm2xi | 127.82 (6) |
| Ni11x—Sn4—Ni11 | 103.86 (4) | Tm1xi—Ni10—Tm2xi | 71.45 (2) |
| Ni11v—Sn4—Ni11 | 103.86 (4) | Sn9—Ni10—Tm2 | 137.40 (2) |
| Ni11x—Sn4—Sn8iii | 109.77 (4) | Sn7xi—Ni10—Tm2 | 137.87 (7) |
| Ni11v—Sn4—Sn8iii | 109.77 (4) | Sn7—Ni10—Tm2 | 65.00 (3) |
| Ni11—Sn4—Sn8iii | 107.99 (5) | Sn6—Ni10—Tm2 | 62.75 (4) |
| Ni11x—Sn4—Tm2 | 164.54 (4) | Sn8iii—Ni10—Tm2 | 62.99 (4) |
| Ni11v—Sn4—Tm2 | 74.78 (3) | Tm1—Ni10—Tm2 | 71.45 (2) |
| Ni11—Sn4—Tm2 | 69.01 (3) | Tm1xi—Ni10—Tm2 | 127.82 (6) |
| Sn8iii—Sn4—Tm2 | 61.91 (2) | Tm2xi—Ni10—Tm2 | 84.84 (4) |
| Ni11x—Sn4—Tm2xi | 74.78 (3) | Sn9—Ni10—Tm3iii | 68.13 (5) |
| Ni11v—Sn4—Tm2xi | 164.54 (4) | Sn7xi—Ni10—Tm3iii | 59.65 (4) |
| Ni11—Sn4—Tm2xi | 69.01 (3) | Sn7—Ni10—Tm3iii | 59.65 (4) |
| Sn8iii—Sn4—Tm2xi | 61.91 (2) | Sn6—Ni10—Tm3iii | 167.84 (7) |
| Tm2—Sn4—Tm2xi | 89.78 (3) | Sn8iii—Ni10—Tm3iii | 64.13 (4) |
| Ni11x—Sn4—Tm2v | 70.41 (4) | Tm1—Ni10—Tm3iii | 122.41 (4) |
| Ni11v—Sn4—Tm2v | 70.41 (4) | Tm1xi—Ni10—Tm3iii | 122.41 (4) |
| Ni11—Sn4—Tm2v | 71.55 (4) | Tm2xi—Ni10—Tm3iii | 109.00 (4) |
| Sn8iii—Sn4—Tm2v | 179.53 (4) | Tm2—Ni10—Tm3iii | 109.00 (4) |
| Tm2—Sn4—Tm2v | 117.81 (2) | Sn4x—Ni11—Sn4v | 120.64 (7) |
| Tm2xi—Sn4—Tm2v | 117.81 (2) | Sn4x—Ni11—Sn6 | 117.99 (4) |
| Ni11x—Sn4—Tm3v | 63.03 (4) | Sn4v—Ni11—Sn6 | 117.99 (4) |
| Ni11v—Sn4—Tm3v | 63.03 (4) | Sn4x—Ni11—Sn5viii | 83.76 (5) |
| Ni11—Sn4—Tm3v | 142.59 (5) | Sn4v—Ni11—Sn5viii | 83.76 (5) |
| Sn8iii—Sn4—Tm3v | 109.43 (3) | Sn6—Ni11—Sn5viii | 121.24 (7) |
| Tm2—Sn4—Tm3v | 130.985 (18) | Sn4x—Ni11—Sn4 | 76.14 (4) |
| Tm2xi—Sn4—Tm3v | 130.985 (18) | Sn4v—Ni11—Sn4 | 76.14 (4) |
| Tm2v—Sn4—Tm3v | 71.04 (2) | Sn6—Ni11—Sn4 | 100.37 (6) |
| Ni11x—Sn4—Sn4v | 126.78 (6) | Sn5viii—Ni11—Sn4 | 138.39 (7) |
| Ni11v—Sn4—Sn4v | 54.61 (4) | Sn4x—Ni11—Tm3 | 154.05 (7) |
| Ni11—Sn4—Sn4v | 49.25 (3) | Sn4v—Ni11—Tm3 | 69.20 (2) |
| Sn8iii—Sn4—Sn4v | 121.54 (3) | Sn6—Ni11—Tm3 | 67.24 (4) |
| Tm2—Sn4—Sn4v | 59.64 (2) | Sn5viii—Ni11—Tm3 | 73.14 (4) |
| Tm2xi—Sn4—Sn4v | 116.83 (4) | Sn4—Ni11—Tm3 | 129.35 (3) |
| Tm2v—Sn4—Sn4v | 58.17 (3) | Sn4x—Ni11—Tm3xi | 69.20 (2) |
| Tm3v—Sn4—Sn4v | 108.24 (3) | Sn4v—Ni11—Tm3xi | 154.05 (7) |
| Ni11x—Sn4—Sn4x | 54.61 (4) | Sn6—Ni11—Tm3xi | 67.24 (4) |
| Ni11v—Sn4—Sn4x | 126.78 (6) | Sn5viii—Ni11—Tm3xi | 73.14 (4) |
| Ni11—Sn4—Sn4x | 49.25 (3) | Sn4—Ni11—Tm3xi | 129.35 (3) |
| Sn8iii—Sn4—Sn4x | 121.54 (3) | Tm3—Ni11—Tm3xi | 92.41 (5) |
| Tm2—Sn4—Sn4x | 116.83 (4) | Sn4x—Ni11—Tm2 | 135.01 (7) |
| Tm2xi—Sn4—Sn4x | 59.64 (2) | Sn4v—Ni11—Tm2 | 63.75 (3) |
| Tm2v—Sn4—Sn4x | 58.17 (3) | Sn6—Ni11—Tm2 | 61.53 (3) |
| Tm3v—Sn4—Sn4x | 108.24 (3) | Sn5viii—Ni11—Tm2 | 137.92 (2) |
| Sn4v—Sn4—Sn4x | 85.36 (4) | Sn4—Ni11—Tm2 | 61.07 (3) |
| Ni12—Sn5—Ni11xii | 118.18 (7) | Tm3—Ni11—Tm2 | 70.75 (2) |
| Ni12—Sn5—Tm3xii | 137.69 (2) | Tm3xi—Ni11—Tm2 | 128.71 (6) |
| Ni11xii—Sn5—Tm3xii | 58.89 (3) | Sn4x—Ni11—Tm2xi | 63.75 (3) |
| Ni12—Sn5—Tm3xiii | 137.69 (2) | Sn4v—Ni11—Tm2xi | 135.01 (7) |
| Ni11xii—Sn5—Tm3xiii | 58.89 (3) | Sn6—Ni11—Tm2xi | 61.53 (3) |
| Tm3xii—Sn5—Tm3xiii | 80.44 (2) | Sn5viii—Ni11—Tm2xi | 137.92 (2) |
| Ni12—Sn5—Tm1xi | 59.57 (4) | Sn4—Ni11—Tm2xi | 61.07 (3) |
| Ni11xii—Sn5—Tm1xi | 138.857 (19) | Tm3—Ni11—Tm2xi | 128.71 (6) |
| Tm3xii—Sn5—Tm1xi | 153.58 (3) | Tm3xi—Ni11—Tm2xi | 70.75 (2) |
| Tm3xiii—Sn5—Tm1xi | 94.310 (14) | Tm2—Ni11—Tm2xi | 82.84 (4) |
| Ni12—Sn5—Tm1 | 59.57 (4) | Sn4x—Ni11—Tm2v | 60.33 (4) |
| Ni11xii—Sn5—Tm1 | 138.857 (19) | Sn4v—Ni11—Tm2v | 60.33 (4) |
| Tm3xii—Sn5—Tm1 | 94.310 (14) | Sn6—Ni11—Tm2v | 160.53 (7) |
| Tm3xiii—Sn5—Tm1 | 153.58 (3) | Sn5viii—Ni11—Tm2v | 78.23 (5) |
| Tm1xi—Sn5—Tm1 | 78.88 (2) | Sn4—Ni11—Tm2v | 60.16 (4) |
| Ni12—Sn6—Ni10 | 111.40 (7) | Tm3—Ni11—Tm2v | 123.78 (4) |
| Ni12—Sn6—Ni11 | 126.13 (7) | Tm3xi—Ni11—Tm2v | 123.78 (4) |
| Ni10—Sn6—Ni11 | 122.47 (7) | Tm2—Ni11—Tm2v | 104.85 (4) |
| Ni12—Sn6—Tm2xi | 134.083 (17) | Tm2xi—Ni11—Tm2v | 104.85 (4) |
| Ni10—Sn6—Tm2xi | 69.57 (3) | Sn8—Ni12—Sn8xi | 126.20 (9) |
| Ni11—Sn6—Tm2xi | 70.88 (3) | Sn8—Ni12—Sn6 | 113.33 (5) |
| Ni12—Sn6—Tm2 | 134.083 (17) | Sn8xi—Ni12—Sn6 | 113.33 (5) |
| Ni10—Sn6—Tm2 | 69.57 (3) | Sn8—Ni12—Sn5 | 87.74 (6) |
| Ni11—Sn6—Tm2 | 70.88 (3) | Sn8xi—Ni12—Sn5 | 87.74 (6) |
| Tm2xi—Sn6—Tm2 | 90.64 (3) | Sn6—Ni12—Sn5 | 123.90 (9) |
| Ni12—Sn6—Tm1 | 65.63 (4) | Sn8—Ni12—Sn7vii | 75.93 (5) |
| Ni10—Sn6—Tm1 | 66.95 (3) | Sn8xi—Ni12—Sn7vii | 75.93 (5) |
| Ni11—Sn6—Tm1 | 135.524 (14) | Sn6—Ni12—Sn7vii | 93.61 (7) |
| Tm2xi—Sn6—Tm1 | 136.53 (3) | Sn5—Ni12—Sn7vii | 142.49 (8) |
| Tm2—Sn6—Tm1 | 74.304 (16) | Sn8—Ni12—Tm1xi | 156.15 (8) |
| Ni12—Sn6—Tm1xi | 65.63 (4) | Sn8xi—Ni12—Tm1xi | 69.53 (3) |
| Ni10—Sn6—Tm1xi | 66.95 (3) | Sn6—Ni12—Tm1xi | 67.18 (4) |
| Ni11—Sn6—Tm1xi | 135.524 (14) | Sn5—Ni12—Tm1xi | 74.18 (5) |
| Tm2xi—Sn6—Tm1xi | 74.304 (16) | Sn7vii—Ni12—Tm1xi | 127.76 (4) |
| Tm2—Sn6—Tm1xi | 136.53 (3) | Sn8—Ni12—Tm1 | 69.53 (3) |
| Tm1—Sn6—Tm1xi | 88.94 (3) | Sn8xi—Ni12—Tm1 | 156.15 (8) |
| Ni12—Sn6—Tm3xi | 79.46 (4) | Sn6—Ni12—Tm1 | 67.18 (4) |
| Ni10—Sn6—Tm3xi | 135.290 (16) | Sn5—Ni12—Tm1 | 74.18 (5) |
| Ni11—Sn6—Tm3xi | 63.20 (3) | Sn7vii—Ni12—Tm1 | 127.76 (4) |
| Tm2xi—Sn6—Tm3xi | 72.611 (17) | Tm1xi—Ni12—Tm1 | 90.29 (6) |
| Tm2—Sn6—Tm3xi | 134.01 (3) | Sn8—Ni12—Tm2vii | 63.18 (5) |
| Tm1—Sn6—Tm3xi | 144.75 (4) | Sn8xi—Ni12—Tm2vii | 63.18 (5) |
| Tm1xi—Sn6—Tm3xi | 80.659 (16) | Sn6—Ni12—Tm2vii | 155.17 (8) |
| Ni12—Sn6—Tm3 | 79.46 (4) | Sn5—Ni12—Tm2vii | 80.93 (6) |
| Ni10—Sn6—Tm3 | 135.290 (16) | Sn7vii—Ni12—Tm2vii | 61.56 (4) |
| Ni11—Sn6—Tm3 | 63.20 (3) | Tm1xi—Ni12—Tm2vii | 126.83 (4) |
| Tm2xi—Sn6—Tm3 | 134.01 (3) | Tm1—Ni12—Tm2vii | 126.83 (4) |