| Literature DB >> 21582308 |
Sumohan Misra1, Gordon J Miller.
Abstract
Gd(2)Sc(3)Ge(4) adopts the ortho-rhom-bic Pu(5)Rh(4)-type structure. The crystal structure contains six sites in the asymmetric unit: two sites are statistically occupied by rare-earth atoms with Gd:Sc ratios of 0.967 (4):0.033 (4) and 0.031 (3):0.969 (3), one site (.m. symmetry) is occupied by Sc atoms, and three distinct sites (two of which with .m. symmetry) are occupied by Ge atoms. The rare-earth atoms form two-dimensional slabs with Ge atoms occupying the trigonal-prismatic voids.Entities:
Year: 2009 PMID: 21582308 PMCID: PMC2969084 DOI: 10.1107/S1600536809007211
Source DB: PubMed Journal: Acta Crystallogr Sect E Struct Rep Online ISSN: 1600-5368
| Gd2Sc3Ge4 | |
| Orthorhombic, | Mo |
| Hall symbol: -P 2ac 2n | Cell parameters from 6182 reflections |
| θ = 3.1–27.8° | |
| µ = 34.91 mm−1 | |
| Plate, grey | |
| 0.06 × 0.05 × 0.01 mm |
| Bruker SMART CCD area-detector diffractometer | 958 independent reflections |
| Radiation source: fine-focus sealed tube | 816 reflections with |
| graphite | |
| φ and ω scans | θmax = 28.2°, θmin = 2.9° |
| Absorption correction: multi-scan ( | |
| 6182 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 = 0.001 | |
| Δρmax = 2.20 e Å−3 | |
| 958 reflections | Δρmin = −1.44 e Å−3 |
| 49 parameters | Extinction correction: |
| 0 restraints | Extinction coefficient: 0.00245 (16) |
| 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) | |||||
| Gd1 | 0.99788 (5) | 0.40395 (3) | 0.17641 (5) | 0.00746 (16) | 0.967 (4) |
| Sc1 | 0.99788 (5) | 0.40395 (3) | 0.17641 (5) | 0.00746 (16) | 0.033 (4) |
| Gd2 | 0.6602 (2) | 0.37594 (9) | 0.83229 (17) | 0.0081 (5) | 0.031 (3) |
| Sc2 | 0.6602 (2) | 0.37594 (9) | 0.83229 (17) | 0.0081 (5) | 0.969 (3) |
| Sc3 | 0.1761 (3) | 0.7500 | 0.5005 (3) | 0.0072 (4) | |
| Ge1 | 0.82216 (12) | 0.45888 (6) | 0.54068 (11) | 0.0091 (2) | |
| Ge2 | 0.03997 (16) | 0.7500 | 0.12561 (16) | 0.0081 (3) | |
| Ge3 | 0.30680 (16) | 0.7500 | 0.86322 (15) | 0.0081 (3) |
| Gd1 | 0.0064 (2) | 0.0085 (2) | 0.0074 (2) | 0.00025 (14) | 0.00024 (15) | 0.00013 (15) |
| Sc1 | 0.0064 (2) | 0.0085 (2) | 0.0074 (2) | 0.00025 (14) | 0.00024 (15) | 0.00013 (15) |
| Gd2 | 0.0095 (8) | 0.0083 (7) | 0.0065 (8) | 0.0000 (5) | 0.0006 (5) | 0.0001 (5) |
| Sc2 | 0.0095 (8) | 0.0083 (7) | 0.0065 (8) | 0.0000 (5) | 0.0006 (5) | 0.0001 (5) |
| Sc3 | 0.0067 (10) | 0.0079 (10) | 0.0072 (10) | 0.000 | 0.0000 (8) | 0.000 |
| Ge1 | 0.0113 (5) | 0.0086 (4) | 0.0073 (4) | 0.0011 (3) | −0.0009 (3) | 0.0008 (3) |
| Ge2 | 0.0068 (6) | 0.0098 (6) | 0.0077 (6) | 0.000 | 0.0012 (5) | 0.000 |
| Ge3 | 0.0085 (6) | 0.0082 (6) | 0.0077 (6) | 0.000 | −0.0008 (5) | 0.000 |
| Gd1—Ge3i | 2.9452 (9) | Sc3—Gd2xiv | 3.268 (2) |
| Gd1—Ge1ii | 2.9605 (10) | Sc3—Sc2xii | 3.283 (2) |
| Gd1—Ge1 | 3.1097 (10) | Sc3—Gd2iii | 3.283 (2) |
| Gd1—Ge3iii | 3.1101 (10) | Ge1—Sc2i | 2.8070 (16) |
| Gd1—Ge2iv | 3.1478 (10) | Ge1—Gd2i | 2.8070 (16) |
| Gd1—Ge1v | 3.1519 (10) | Ge1—Sc2xv | 2.8759 (17) |
| Gd1—Ge1i | 3.1861 (10) | Ge1—Gd2xv | 2.8759 (17) |
| Gd1—Sc3i | 3.4681 (17) | Ge1—Ge1v | 2.8907 (17) |
| Gd1—Sc3iii | 3.4877 (17) | Ge1—Gd1xvi | 2.9605 (10) |
| Gd1—Sc2i | 3.5083 (15) | Ge1—Sc1xvi | 2.9605 (10) |
| Gd1—Gd2i | 3.5083 (15) | Ge1—Sc3iii | 2.9614 (10) |
| Gd1—Gd2vi | 3.5762 (15) | Ge2—Ge3vi | 2.7572 (17) |
| Gd2—Ge1 | 2.7421 (15) | Ge2—Sc2xiv | 2.7668 (16) |
| Gd2—Ge2vii | 2.7668 (16) | Ge2—Gd2xiv | 2.7668 (16) |
| Gd2—Ge1viii | 2.8070 (16) | Ge2—Sc2xiii | 2.7668 (16) |
| Gd2—Ge2iii | 2.8234 (17) | Ge2—Gd2xiii | 2.7668 (16) |
| Gd2—Ge1ix | 2.8759 (17) | Ge2—Sc3xvi | 2.800 (2) |
| Gd2—Ge3x | 2.9010 (16) | Ge2—Sc2xii | 2.8234 (17) |
| Gd2—Sc3vii | 3.268 (2) | Ge2—Gd2xii | 2.8234 (17) |
| Gd2—Sc3iii | 3.283 (2) | Ge2—Gd2iii | 2.8234 (17) |
| Gd2—Gd1viii | 3.5083 (15) | Ge2—Sc2iii | 2.8234 (17) |
| Gd2—Sc1viii | 3.5083 (15) | Ge2—Sc1iv | 3.1478 (10) |
| Gd2—Sc2xi | 3.552 (3) | Ge3—Ge2xvii | 2.7572 (17) |
| Gd2—Gd2xi | 3.552 (3) | Ge3—Sc3xv | 2.864 (2) |
| Sc3—Ge2ii | 2.800 (2) | Ge3—Sc2xviii | 2.9010 (16) |
| Sc3—Ge3ix | 2.864 (2) | Ge3—Gd2xviii | 2.9010 (16) |
| Sc3—Ge3 | 2.878 (2) | Ge3—Sc2x | 2.9010 (16) |
| Sc3—Ge1xii | 2.9614 (10) | Ge3—Gd2x | 2.9010 (16) |
| Sc3—Ge1iii | 2.9614 (10) | Ge3—Gd1xix | 2.9452 (9) |
| Sc3—Ge2 | 2.977 (2) | Ge3—Sc1xix | 2.9452 (9) |
| Sc3—Sc2xiii | 3.268 (2) | Ge3—Gd1viii | 2.9452 (9) |
| Sc3—Gd2xiii | 3.268 (2) | Ge3—Sc1viii | 2.9452 (9) |
| Sc3—Sc2xiv | 3.268 (2) | Ge3—Gd1iii | 3.1101 (10) |
| Ge3i—Gd1—Ge1ii | 94.17 (3) | Ge3ix—Sc3—Gd2iii | 127.47 (6) |
| Ge3i—Gd1—Ge1 | 87.88 (3) | Ge3—Sc3—Gd2iii | 126.76 (6) |
| Ge1ii—Gd1—Ge1 | 137.90 (3) | Ge1xii—Sc3—Gd2iii | 117.23 (7) |
| Ge3i—Gd1—Ge3iii | 82.64 (2) | Ge1iii—Sc3—Gd2iii | 51.79 (3) |
| Ge1ii—Gd1—Ge3iii | 133.89 (3) | Ge2—Sc3—Gd2iii | 53.35 (4) |
| Ge1—Gd1—Ge3iii | 88.12 (3) | Sc2xiii—Sc3—Gd2iii | 71.49 (4) |
| Ge3i—Gd1—Ge2iv | 82.83 (3) | Gd2xiii—Sc3—Gd2iii | 71.49 (4) |
| Ge1ii—Gd1—Ge2iv | 81.64 (3) | Sc2xiv—Sc3—Gd2iii | 105.69 (6) |
| Ge1—Gd1—Ge2iv | 140.09 (3) | Gd2xiv—Sc3—Gd2iii | 105.69 (6) |
| Ge3iii—Gd1—Ge2iv | 52.28 (3) | Sc2xii—Sc3—Gd2iii | 65.50 (6) |
| Ge3i—Gd1—Ge1v | 86.21 (3) | Gd2—Ge1—Sc2i | 144.75 (4) |
| Ge1ii—Gd1—Ge1v | 83.153 (17) | Gd2—Ge1—Gd2i | 144.75 (4) |
| Ge1—Gd1—Ge1v | 54.98 (3) | Sc2i—Ge1—Gd2i | 0.00 (5) |
| Ge3iii—Gd1—Ge1v | 141.82 (3) | Gd2—Ge1—Sc2xv | 85.83 (4) |
| Ge2iv—Gd1—Ge1v | 160.52 (3) | Sc2i—Ge1—Sc2xv | 118.86 (4) |
| Ge3i—Gd1—Ge1i | 161.59 (3) | Gd2i—Ge1—Sc2xv | 118.86 (4) |
| Ge1ii—Gd1—Ge1i | 104.08 (3) | Gd2—Ge1—Gd2xv | 85.83 (4) |
| Ge1—Gd1—Ge1i | 80.275 (17) | Sc2i—Ge1—Gd2xv | 118.86 (4) |
| Ge3iii—Gd1—Ge1i | 82.92 (3) | Gd2i—Ge1—Gd2xv | 118.86 (4) |
| Ge2iv—Gd1—Ge1i | 97.23 (3) | Sc2xv—Ge1—Gd2xv | 0.00 (7) |
| Ge1v—Gd1—Ge1i | 98.23 (3) | Gd2—Ge1—Ge1v | 136.10 (5) |
| Ge3i—Gd1—Sc3i | 52.57 (4) | Sc2i—Ge1—Ge1v | 60.61 (4) |
| Ge1ii—Gd1—Sc3i | 54.16 (3) | Gd2i—Ge1—Ge1v | 60.61 (4) |
| Ge1—Gd1—Sc3i | 140.20 (4) | Sc2xv—Ge1—Ge1v | 58.26 (4) |
| Ge3iii—Gd1—Sc3i | 90.58 (3) | Gd2xv—Ge1—Ge1v | 58.26 (4) |
| Ge2iv—Gd1—Sc3i | 49.79 (4) | Gd2—Ge1—Gd1xvi | 89.24 (4) |
| Ge1v—Gd1—Sc3i | 110.99 (4) | Sc2i—Ge1—Gd1xvi | 86.99 (4) |
| Ge1i—Gd1—Sc3i | 138.95 (4) | Gd2i—Ge1—Gd1xvi | 86.99 (4) |
| Ge3i—Gd1—Sc3iii | 52.04 (4) | Sc2xv—Ge1—Gd1xvi | 138.69 (4) |
| Ge1ii—Gd1—Sc3iii | 146.21 (4) | Gd2xv—Ge1—Gd1xvi | 138.69 (4) |
| Ge1—Gd1—Sc3iii | 52.97 (3) | Ge1v—Ge1—Gd1xvi | 134.14 (5) |
| Ge3iii—Gd1—Sc3iii | 51.34 (4) | Gd2—Ge1—Sc1xvi | 89.24 (4) |
| Ge2iv—Gd1—Sc3iii | 92.20 (3) | Sc2i—Ge1—Sc1xvi | 86.99 (4) |
| Ge1v—Gd1—Sc3iii | 93.70 (4) | Gd2i—Ge1—Sc1xvi | 86.99 (4) |
| Ge1i—Gd1—Sc3iii | 109.66 (4) | Sc2xv—Ge1—Sc1xvi | 138.69 (4) |
| Sc3i—Gd1—Sc3iii | 96.92 (4) | Gd2xv—Ge1—Sc1xvi | 138.69 (4) |
| Ge3i—Gd1—Sc2i | 130.59 (3) | Ge1v—Ge1—Sc1xvi | 134.14 (5) |
| Ge1ii—Gd1—Sc2i | 102.15 (3) | Gd1xvi—Ge1—Sc1xvi | 0.000 (17) |
| Ge1—Gd1—Sc2i | 49.75 (3) | Gd2—Ge1—Sc3iii | 70.16 (5) |
| Ge3iii—Gd1—Sc2i | 114.68 (3) | Sc2i—Ge1—Sc3iii | 140.10 (6) |
| Ge2iv—Gd1—Sc2i | 145.18 (3) | Gd2i—Ge1—Sc3iii | 140.10 (6) |
| Ge1v—Gd1—Sc2i | 50.82 (3) | Sc2xv—Ge1—Sc3iii | 68.07 (5) |
| Ge1i—Gd1—Sc2i | 48.06 (3) | Gd2xv—Ge1—Sc3iii | 68.07 (5) |
| Sc3i—Gd1—Sc2i | 154.50 (3) | Ge1v—Ge1—Sc3iii | 111.92 (6) |
| Sc3iii—Gd1—Sc2i | 101.62 (3) | Gd1xvi—Ge1—Sc3iii | 71.70 (5) |
| Ge3i—Gd1—Gd2i | 130.59 (3) | Sc1xvi—Ge1—Sc3iii | 71.70 (5) |
| Ge1ii—Gd1—Gd2i | 102.15 (3) | Gd2—Ge1—Gd1 | 140.21 (4) |
| Ge1—Gd1—Gd2i | 49.75 (3) | Sc2i—Ge1—Gd1 | 72.53 (3) |
| Ge3iii—Gd1—Gd2i | 114.68 (3) | Gd2i—Ge1—Gd1 | 72.53 (3) |
| Ge2iv—Gd1—Gd2i | 145.18 (3) | Sc2xv—Ge1—Gd1 | 80.83 (4) |
| Ge1v—Gd1—Gd2i | 50.82 (3) | Gd2xv—Ge1—Gd1 | 80.83 (4) |
| Ge1i—Gd1—Gd2i | 48.06 (3) | Ge1v—Ge1—Gd1 | 63.25 (3) |
| Sc3i—Gd1—Gd2i | 154.50 (3) | Gd1xvi—Ge1—Gd1 | 77.14 (2) |
| Sc3iii—Gd1—Gd2i | 101.62 (3) | Sc1xvi—Ge1—Gd1 | 77.14 (2) |
| Sc2i—Gd1—Gd2i | 0.00 (4) | Sc3iii—Ge1—Gd1 | 70.08 (4) |
| Ge3i—Gd1—Gd2vi | 126.15 (3) | Ge3vi—Ge2—Sc2xiv | 140.05 (3) |
| Ge1ii—Gd1—Gd2vi | 100.11 (3) | Ge3vi—Ge2—Gd2xiv | 140.05 (3) |
| Ge1—Gd1—Gd2vi | 112.35 (3) | Sc2xiv—Ge2—Gd2xiv | 0.00 (5) |
| Ge3iii—Gd1—Gd2vi | 50.84 (3) | Ge3vi—Ge2—Sc2xiii | 140.05 (3) |
| Ge2iv—Gd1—Gd2vi | 49.15 (3) | Sc2xiv—Ge2—Sc2xiii | 79.86 (7) |
| Ge1v—Gd1—Gd2vi | 146.68 (3) | Gd2xiv—Ge2—Sc2xiii | 79.86 (7) |
| Ge1i—Gd1—Gd2vi | 48.63 (3) | Ge3vi—Ge2—Gd2xiii | 140.05 (3) |
| Sc3i—Gd1—Gd2vi | 97.04 (4) | Sc2xiv—Ge2—Gd2xiii | 79.86 (7) |
| Sc3iii—Gd1—Gd2vi | 100.63 (4) | Gd2xiv—Ge2—Gd2xiii | 79.86 (7) |
| Sc2i—Gd1—Gd2vi | 96.57 (3) | Sc2xiii—Ge2—Gd2xiii | 0.00 (5) |
| Gd2i—Gd1—Gd2vi | 96.57 (3) | Ge3vi—Ge2—Sc3xvi | 114.80 (6) |
| Ge1—Gd2—Ge2vii | 92.98 (5) | Sc2xiv—Ge2—Sc3xvi | 72.27 (5) |
| Ge1—Gd2—Ge1viii | 94.01 (4) | Gd2xiv—Ge2—Sc3xvi | 72.27 (5) |
| Ge2vii—Gd2—Ge1viii | 150.21 (6) | Sc2xiii—Ge2—Sc3xvi | 72.27 (5) |
| Ge1—Gd2—Ge2iii | 91.61 (5) | Gd2xiii—Ge2—Sc3xvi | 72.27 (5) |
| Ge2vii—Gd2—Ge2iii | 93.56 (4) | Ge3vi—Ge2—Sc2xii | 62.63 (4) |
| Ge1viii—Gd2—Ge2iii | 115.13 (5) | Sc2xiv—Ge2—Sc2xii | 86.39 (4) |
| Ge1—Gd2—Ge1ix | 117.05 (5) | Gd2xiv—Ge2—Sc2xii | 86.39 (4) |
| Ge2vii—Gd2—Ge1ix | 90.00 (5) | Sc2xiii—Ge2—Sc2xii | 138.11 (5) |
| Ge1viii—Gd2—Ge1ix | 61.14 (4) | Gd2xiii—Ge2—Sc2xii | 138.11 (5) |
| Ge2iii—Gd2—Ge1ix | 150.92 (6) | Sc3xvi—Ge2—Sc2xii | 139.64 (4) |
| Ge1—Gd2—Ge3x | 148.48 (6) | Ge3vi—Ge2—Gd2xii | 62.63 (4) |
| Ge2vii—Gd2—Ge3x | 95.19 (5) | Sc2xiv—Ge2—Gd2xii | 86.39 (4) |
| Ge1viii—Gd2—Ge3x | 93.83 (5) | Gd2xiv—Ge2—Gd2xii | 86.39 (4) |
| Ge2iii—Gd2—Ge3x | 57.57 (4) | Sc2xiii—Ge2—Gd2xii | 138.11 (5) |
| Ge1ix—Gd2—Ge3x | 93.37 (5) | Gd2xiii—Ge2—Gd2xii | 138.11 (5) |
| Ge1—Gd2—Sc3vii | 149.10 (6) | Sc3xvi—Ge2—Gd2xii | 139.64 (4) |
| Ge2vii—Gd2—Sc3vii | 58.41 (5) | Sc2xii—Ge2—Gd2xii | 0.00 (7) |
| Ge1viii—Gd2—Sc3vii | 105.69 (5) | Ge3vi—Ge2—Gd2iii | 62.63 (4) |
| Ge2iii—Gd2—Sc3vii | 100.88 (5) | Sc2xiv—Ge2—Gd2iii | 138.11 (5) |
| Ge1ix—Gd2—Sc3vii | 57.21 (4) | Gd2xiv—Ge2—Gd2iii | 138.11 (5) |
| Ge3x—Gd2—Sc3vii | 54.94 (5) | Sc2xiii—Ge2—Gd2iii | 86.39 (4) |
| Ge1—Gd2—Sc3iii | 58.06 (4) | Gd2xiii—Ge2—Gd2iii | 86.39 (4) |
| Ge2vii—Gd2—Sc3iii | 54.33 (5) | Sc3xvi—Ge2—Gd2iii | 139.64 (4) |
| Ge1viii—Gd2—Sc3iii | 148.75 (6) | Sc2xii—Ge2—Gd2iii | 77.95 (6) |
| Ge2iii—Gd2—Sc3iii | 57.77 (5) | Gd2xii—Ge2—Gd2iii | 77.95 (6) |
| Ge1ix—Gd2—Sc3iii | 141.16 (6) | Ge3vi—Ge2—Sc2iii | 62.63 (4) |
| Ge3x—Gd2—Sc3iii | 103.67 (5) | Sc2xiv—Ge2—Sc2iii | 138.11 (5) |
| Sc3vii—Gd2—Sc3iii | 105.56 (5) | Gd2xiv—Ge2—Sc2iii | 138.11 (5) |
| Ge1—Gd2—Gd1viii | 59.81 (3) | Sc2xiii—Ge2—Sc2iii | 86.39 (4) |
| Ge2vii—Gd2—Gd1viii | 102.14 (4) | Gd2xiii—Ge2—Sc2iii | 86.39 (4) |
| Ge1viii—Gd2—Gd1viii | 57.73 (3) | Sc3xvi—Ge2—Sc2iii | 139.64 (4) |
| Ge2iii—Gd2—Gd1viii | 147.65 (5) | Sc2xii—Ge2—Sc2iii | 77.95 (6) |
| Ge1ix—Gd2—Gd1viii | 58.16 (3) | Gd2xii—Ge2—Sc2iii | 77.95 (6) |
| Ge3x—Gd2—Gd1viii | 146.13 (5) | Gd2iii—Ge2—Sc2iii | 0.00 (7) |
| Sc3vii—Gd2—Gd1viii | 111.45 (5) | Ge3vi—Ge2—Sc3 | 116.13 (6) |
| Sc3iii—Gd2—Gd1viii | 110.10 (4) | Sc2xiv—Ge2—Sc3 | 69.24 (5) |
| Ge1—Gd2—Sc1viii | 59.81 (3) | Gd2xiv—Ge2—Sc3 | 69.24 (5) |
| Ge2vii—Gd2—Sc1viii | 102.14 (4) | Sc2xiii—Ge2—Sc3 | 69.24 (5) |
| Ge1viii—Gd2—Sc1viii | 57.73 (3) | Gd2xiii—Ge2—Sc3 | 69.24 (5) |
| Ge2iii—Gd2—Sc1viii | 147.65 (5) | Sc3xvi—Ge2—Sc3 | 129.07 (7) |
| Ge1ix—Gd2—Sc1viii | 58.16 (3) | Sc2xii—Ge2—Sc3 | 68.88 (5) |
| Ge3x—Gd2—Sc1viii | 146.13 (5) | Gd2xii—Ge2—Sc3 | 68.88 (5) |
| Sc3vii—Gd2—Sc1viii | 111.45 (5) | Gd2iii—Ge2—Sc3 | 68.88 (5) |
| Sc3iii—Gd2—Sc1viii | 110.10 (4) | Sc2iii—Ge2—Sc3 | 68.88 (5) |
| Gd1viii—Gd2—Sc1viii | 0.000 (12) | Ge3vi—Ge2—Sc1iv | 63.16 (3) |
| Ge1—Gd2—Sc2xi | 115.24 (3) | Sc2xiv—Ge2—Sc1iv | 143.07 (5) |
| Ge2vii—Gd2—Sc2xi | 50.07 (3) | Gd2xiv—Ge2—Sc1iv | 143.07 (5) |
| Ge1viii—Gd2—Sc2xi | 146.07 (3) | Sc2xiii—Ge2—Sc1iv | 85.07 (3) |
| Ge2iii—Gd2—Sc2xi | 51.02 (3) | Gd2xiii—Ge2—Sc1iv | 85.07 (3) |
| Ge1ix—Gd2—Sc2xi | 113.99 (3) | Sc3xvi—Ge2—Sc1iv | 71.06 (4) |
| Ge3x—Gd2—Sc2xi | 52.25 (3) | Sc2xii—Ge2—Sc1iv | 125.53 (5) |
| Sc3vii—Gd2—Sc2xi | 57.08 (3) | Gd2xii—Ge2—Sc1iv | 125.53 (5) |
| Sc3iii—Gd2—Sc2xi | 57.25 (3) | Gd2iii—Ge2—Sc1iv | 73.36 (3) |
| Gd1viii—Gd2—Sc2xi | 152.21 (2) | Sc2iii—Ge2—Sc1iv | 73.36 (3) |
| Sc1viii—Gd2—Sc2xi | 152.21 (2) | Sc3—Ge2—Sc1iv | 135.00 (2) |
| Ge1—Gd2—Gd2xi | 115.24 (3) | Ge2xvii—Ge3—Sc3xv | 113.62 (6) |
| Ge2vii—Gd2—Gd2xi | 50.07 (3) | Ge2xvii—Ge3—Sc3 | 116.29 (7) |
| Ge1viii—Gd2—Gd2xi | 146.07 (3) | Sc3xv—Ge3—Sc3 | 130.10 (7) |
| Ge2iii—Gd2—Gd2xi | 51.02 (3) | Ge2xvii—Ge3—Sc2xviii | 59.80 (4) |
| Ge1ix—Gd2—Gd2xi | 113.99 (3) | Sc3xv—Ge3—Sc2xviii | 69.05 (5) |
| Ge3x—Gd2—Gd2xi | 52.25 (3) | Sc3—Ge3—Sc2xviii | 140.34 (4) |
| Sc3vii—Gd2—Gd2xi | 57.08 (3) | Ge2xvii—Ge3—Gd2xviii | 59.80 (4) |
| Sc3iii—Gd2—Gd2xi | 57.25 (3) | Sc3xv—Ge3—Gd2xviii | 69.05 (5) |
| Gd1viii—Gd2—Gd2xi | 152.21 (2) | Sc3—Ge3—Gd2xviii | 140.34 (4) |
| Sc1viii—Gd2—Gd2xi | 152.21 (2) | Sc2xviii—Ge3—Gd2xviii | 0.00 (3) |
| Sc2xi—Gd2—Gd2xi | 0.00 (6) | Ge2xvii—Ge3—Sc2x | 59.80 (4) |
| Ge2ii—Sc3—Ge3ix | 178.82 (9) | Sc3xv—Ge3—Sc2x | 69.05 (5) |
| Ge2ii—Sc3—Ge3 | 90.52 (7) | Sc3—Ge3—Sc2x | 140.34 (4) |
| Ge3ix—Sc3—Ge3 | 88.30 (6) | Sc2xviii—Ge3—Sc2x | 75.49 (6) |
| Ge2ii—Sc3—Ge1xii | 87.76 (4) | Gd2xviii—Ge3—Sc2x | 75.49 (6) |
| Ge3ix—Sc3—Ge1xii | 92.35 (4) | Ge2xvii—Ge3—Gd2x | 59.80 (4) |
| Ge3—Sc3—Ge1xii | 95.56 (4) | Sc3xv—Ge3—Gd2x | 69.05 (5) |
| Ge2ii—Sc3—Ge1iii | 87.76 (4) | Sc3—Ge3—Gd2x | 140.34 (4) |
| Ge3ix—Sc3—Ge1iii | 92.35 (4) | Sc2xviii—Ge3—Gd2x | 75.49 (6) |
| Ge3—Sc3—Ge1iii | 95.56 (4) | Gd2xviii—Ge3—Gd2x | 75.49 (6) |
| Ge1xii—Sc3—Ge1iii | 168.04 (8) | Sc2x—Ge3—Gd2x | 0.00 (4) |
| Ge2ii—Sc3—Ge2 | 89.64 (6) | Ge2xvii—Ge3—Gd1xix | 132.513 (19) |
| Ge3ix—Sc3—Ge2 | 91.54 (7) | Sc3xv—Ge3—Gd1xix | 73.78 (4) |
| Ge3—Sc3—Ge2 | 179.85 (9) | Sc3—Ge3—Gd1xix | 73.09 (4) |
| Ge1xii—Sc3—Ge2 | 84.44 (4) | Sc2xviii—Ge3—Gd1xix | 83.28 (3) |
| Ge1iii—Sc3—Ge2 | 84.44 (4) | Gd2xviii—Ge3—Gd1xix | 83.28 (3) |
| Ge2ii—Sc3—Sc2xiii | 124.88 (6) | Sc2x—Ge3—Gd1xix | 141.76 (5) |
| Ge3ix—Sc3—Sc2xiii | 56.01 (5) | Gd2x—Ge3—Gd1xix | 141.76 (5) |
| Ge3—Sc3—Sc2xiii | 127.54 (6) | Ge2xvii—Ge3—Sc1xix | 132.513 (19) |
| Ge1xii—Sc3—Sc2xiii | 120.23 (7) | Sc3xv—Ge3—Sc1xix | 73.78 (4) |
| Ge1iii—Sc3—Sc2xiii | 54.72 (4) | Sc3—Ge3—Sc1xix | 73.09 (4) |
| Ge2—Sc3—Sc2xiii | 52.35 (4) | Sc2xviii—Ge3—Sc1xix | 83.28 (3) |
| Ge2ii—Sc3—Gd2xiii | 124.88 (6) | Gd2xviii—Ge3—Sc1xix | 83.28 (3) |
| Ge3ix—Sc3—Gd2xiii | 56.01 (5) | Sc2x—Ge3—Sc1xix | 141.76 (5) |
| Ge3—Sc3—Gd2xiii | 127.54 (6) | Gd2x—Ge3—Sc1xix | 141.76 (5) |
| Ge1xii—Sc3—Gd2xiii | 120.23 (7) | Gd1xix—Ge3—Sc1xix | 0.000 (17) |
| Ge1iii—Sc3—Gd2xiii | 54.72 (4) | Ge2xvii—Ge3—Gd1viii | 132.513 (19) |
| Ge2—Sc3—Gd2xiii | 52.35 (4) | Sc3xv—Ge3—Gd1viii | 73.78 (4) |
| Sc2xiii—Sc3—Gd2xiii | 0.00 (3) | Sc3—Ge3—Gd1viii | 73.09 (4) |
| Ge2ii—Sc3—Sc2xiv | 124.88 (6) | Sc2xviii—Ge3—Gd1viii | 141.76 (5) |
| Ge3ix—Sc3—Sc2xiv | 56.01 (5) | Gd2xviii—Ge3—Gd1viii | 141.76 (5) |
| Ge3—Sc3—Sc2xiv | 127.54 (6) | Sc2x—Ge3—Gd1viii | 83.28 (3) |
| Ge1xii—Sc3—Sc2xiv | 54.72 (4) | Gd2x—Ge3—Gd1viii | 83.28 (3) |
| Ge1iii—Sc3—Sc2xiv | 120.23 (7) | Gd1xix—Ge3—Gd1viii | 94.96 (4) |
| Ge2—Sc3—Sc2xiv | 52.35 (4) | Sc1xix—Ge3—Gd1viii | 94.96 (4) |
| Sc2xiii—Sc3—Sc2xiv | 65.84 (6) | Ge2xvii—Ge3—Sc1viii | 132.513 (19) |
| Gd2xiii—Sc3—Sc2xiv | 65.84 (6) | Sc3xv—Ge3—Sc1viii | 73.78 (4) |
| Ge2ii—Sc3—Gd2xiv | 124.88 (6) | Sc3—Ge3—Sc1viii | 73.09 (4) |
| Ge3ix—Sc3—Gd2xiv | 56.01 (5) | Sc2xviii—Ge3—Sc1viii | 141.76 (5) |
| Ge3—Sc3—Gd2xiv | 127.54 (6) | Gd2xviii—Ge3—Sc1viii | 141.76 (5) |
| Ge1xii—Sc3—Gd2xiv | 54.72 (4) | Sc2x—Ge3—Sc1viii | 83.28 (3) |
| Ge1iii—Sc3—Gd2xiv | 120.23 (7) | Gd2x—Ge3—Sc1viii | 83.28 (3) |
| Ge2—Sc3—Gd2xiv | 52.35 (4) | Gd1xix—Ge3—Sc1viii | 94.96 (4) |
| Sc2xiii—Sc3—Gd2xiv | 65.84 (6) | Sc1xix—Ge3—Sc1viii | 94.96 (4) |
| Gd2xiii—Sc3—Gd2xiv | 65.84 (6) | Gd1viii—Ge3—Sc1viii | 0.000 (17) |
| Sc2xiv—Sc3—Gd2xiv | 0.00 (3) | Ge2xvii—Ge3—Gd1iii | 64.56 (3) |
| Ge2ii—Sc3—Sc2xii | 53.40 (4) | Sc3xv—Ge3—Gd1iii | 134.19 (2) |
| Ge3ix—Sc3—Sc2xii | 127.47 (6) | Sc3—Ge3—Gd1iii | 71.12 (4) |
| Ge3—Sc3—Sc2xii | 126.76 (6) | Sc2xviii—Ge3—Gd1iii | 124.12 (5) |
| Ge1xii—Sc3—Sc2xii | 51.79 (3) | Gd2xviii—Ge3—Gd1iii | 124.12 (5) |
| Ge1iii—Sc3—Sc2xii | 117.23 (7) | Sc2x—Ge3—Gd1iii | 72.92 (3) |
| Ge2—Sc3—Sc2xii | 53.35 (4) | Gd2x—Ge3—Gd1iii | 72.92 (3) |
| Sc2xiii—Sc3—Sc2xii | 105.69 (6) | Gd1xix—Ge3—Gd1iii | 144.10 (4) |
| Gd2xiii—Sc3—Sc2xii | 105.69 (6) | Sc1xix—Ge3—Gd1iii | 144.10 (4) |
| Sc2xiv—Sc3—Sc2xii | 71.49 (4) | Gd1viii—Ge3—Gd1iii | 77.357 (18) |
| Gd2xiv—Sc3—Sc2xii | 71.49 (4) | Sc1viii—Ge3—Gd1iii | 77.357 (18) |
| Ge2ii—Sc3—Gd2iii | 53.40 (4) |