inorganic compounds
Dy8SnS13.61O0.39 from single-crystal data
aW. Trzebiatowski Institute of Low Temperature and Structure Research, Polish Academy of Sciences, Okólna str. 2, PO Box 1410, 50-950 Wrocław, Poland, bDepartment of Ecology and Protection of the Environment, Volyn State University, Voli Ave 13, 43009 Lutsk, Ukraine, and cDepartment of Chemistry, Lutsk State Technical University, L'vivska str. 75, 43018 Lutsk, Ukraine
*Correspondence e-mail: m.daszkiewicz@int.pan.wroc.pl
Crystals of the title dysprosium tin sulfide oxide, Dy8SnS13S1−xOx [x = 0.39 (4)], were obtained unintentionally from the Dy–Sn–S system. A statistical mixture of sulfur and oxygen was assumed for one position in the structure. S and O atoms surround each of the eight symmetrically non-equivalent dysprosium atoms. The Sn atoms are located in tetrahedral surroundings of sulfur atoms. Trigonal prisms and tetrahedra are connected to each other by their edges. All atoms are situated in mirror planes.
Related literature
For previous structures with a statistical mixture of sulfur and oxygen, see: Besançon et al. (1973); Schleid (1991).
Experimental
Crystal data
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Data collection: CrysAlis CCD (Oxford Diffraction, 2007); cell CrysAlis RED (Oxford Diffraction, 2007); data reduction: CrysAlis RED; program(s) used to solve structure: SHELXS97 (Sheldrick, 1997); program(s) used to refine structure: SHELXL97 (Sheldrick, 1997); molecular graphics: DIAMOND (Brandenburg, 2005); software used to prepare material for publication: publCIF (Westrip, 2007) and PLATON (Spek, 2003).
Supporting information
https://doi.org/10.1107/S1600536807063416/pk2066sup1.cif
contains datablocks I, global. DOI:Structure factors: contains datablock I. DOI: https://doi.org/10.1107/S1600536807063416/pk2066Isup2.hkl
Single crystals of the title compound were grown by fusion of the elemental constituents (Alfa Aesar; purity > 99.9%wt) in evacuated silica ampoules. The ampoule was heated in a tube furnace with a heating rate of 30 K/h to 1420 K and kept at this temperature for 4 h. It was then cooled down slowly (10 K/h) to 870 K and annealed at this temperature for further 240 h and finally quenched in cold water. The product was a brown-coloured compact alloy containing red crystals with a prismatic habit and maximal lengths of 0.2 mm. An EDAX PV9800 microanalyser was used for the confirmation of the composition of the Dy, Sn and S in the crystal. The content of oxygen (<2%) was out of the limit of the microanalyser.
A statistical mixture of the sulfur and oxygen was assumed in the
with the same anisotropic displacement parameters for the S14 and O14 atoms. The Cmc21 was confirmed with PLATON (Spek, 2003).An attempt to synthesize Dy2SnS5, a compound with the La2SnS5 type structure was unsuccessful, resulting in a multiphase product. However, the formation of the new compound, Dy8SnS13S1 - xOx (x = 0.39 (4)) was achieved. The structure of this compound was investigated by means of single-crystal X-ray diffraction. In the initial stage of ≈ 1/2) compound (Besançon et al., 1973).
the composition Dy8SnS14 was assumed. However, unusually short Dy2—S14 (2.399 (5) Å) and Dy3—S14 (2.508 (7) Å) distances and a large value for the displacement parameter of S14 were observed. To complete the a statistical mixture (S and O) was assumed at the site of S14. of this model reduced the unusual displacement parameter to a physically reasonable value. The final composition was Dy8SnS13S1 - xOx (x = 0.39 (4)). The values of the Dy2—S14 (2.399 (5) Å) and Dy3—S14 (2.508 (7) Å) distances are intermediate between the Dy—O (2.220–2.264 Å) and Dy–S (2.704–2.742 Å) distances in Dy2OS2 (Schleid, 1991). A similar substitution of S by O in one position has also been observed in the structure of the La10S14S1 - xOx (xThe
and coordination polyhedra of the Dy and Sn atoms in the structure of the Dy8SnS14 - xOx (x = 0.39 (4)) compound are shown in Fig. 1. Sulfur and oxygen atoms surround each of eight symmetrically non-equivalent dysprosium atoms. However, only one mono-capped trigonal prism is evident (Dy1) along with seven bi-capped trigonal prisms around the remaining Dy atoms. The Sn atoms are located in tetrahedral surroundings of sulfur atoms. Trigonal prisms and tetrahedra are connected to each other by edges.For previous structures with a statistical mixture of sulfur and oxygen, see: Besançon et al. (1973); cShleid (1991).
Data collection: CrysAlis CCD (Oxford Diffraction, 2007); cell
CrysAlis RED (Oxford Diffraction, 2007); data reduction: CrysAlis RED (Oxford Diffraction, 2007); program(s) used to solve structure: SHELXS97 (Sheldrick, 1997); program(s) used to refine structure: SHELXL97 (Sheldrick, 1997); molecular graphics: DIAMOND (Brandenburg, 2005); software used to prepare material for publication: publCIF (Westrip, 2007) and PLATON (Spek, 2003).Fig. 1. The structure of Dy8SnS13.61O0.39 viewed down the a axis. Displacement ellipsoids are shown at the 50% probability level. |
Dy8SnS13.61O0.39 | F(000) = 3196 |
Mr = 1861.27 | Dx = 6.506 Mg m−3 |
Orthorhombic, Cmc21 | Mo Kα radiation, λ = 0.71073 Å |
Hall symbol: C 2c -2 | Cell parameters from 1910 reflections |
a = 3.7822 (8) Å | θ = 2.6–26.7° |
b = 23.620 (5) Å | µ = 33.80 mm−1 |
c = 21.271 (4) Å | T = 293 K |
V = 1900.3 (7) Å3 | Needle, red |
Z = 4 | 0.14 × 0.01 × 0.01 mm |
KUMA KM-4 with CCD area-detector diffractometer | 2287 independent reflections |
Radiation source: fine-focus sealed tube | 1910 reflections with I > 2σ(I) |
Graphite monochromator | Rint = 0.049 |
Detector resolution: 1024x1024 with blocks 2x2, 33.133pixel/mm pixels mm-1 | θmax = 26.7°, θmin = 2.6° |
ω–scan | h = −4→4 |
Absorption correction: numerical (CrysAlis; Oxford Diffraction, 2007) | k = −29→29 |
Tmin = 0.104, Tmax = 0.716 | l = −26→26 |
11655 measured reflections |
Refinement on F2 | Primary atom site location: structure-invariant direct methods |
Least-squares matrix: full | Secondary atom site location: difference Fourier map |
R[F2 > 2σ(F2)] = 0.026 | w = 1/[σ2(Fo2) + (0.0128P)2] where P = (Fo2 + 2Fc2)/3 |
wR(F2) = 0.038 | (Δ/σ)max = 0.001 |
S = 0.89 | Δρmax = 3.05 e Å−3 |
2287 reflections | Δρmin = −1.56 e Å−3 |
141 parameters | Absolute structure: Flack (1983), 1089 Friedel pairs |
1 restraint | Absolute structure parameter: 0.0 (2) |
Dy8SnS13.61O0.39 | V = 1900.3 (7) Å3 |
Mr = 1861.27 | Z = 4 |
Orthorhombic, Cmc21 | Mo Kα radiation |
a = 3.7822 (8) Å | µ = 33.80 mm−1 |
b = 23.620 (5) Å | T = 293 K |
c = 21.271 (4) Å | 0.14 × 0.01 × 0.01 mm |
KUMA KM-4 with CCD area-detector diffractometer | 2287 independent reflections |
Absorption correction: numerical (CrysAlis; Oxford Diffraction, 2007) | 1910 reflections with I > 2σ(I) |
Tmin = 0.104, Tmax = 0.716 | Rint = 0.049 |
11655 measured reflections |
R[F2 > 2σ(F2)] = 0.026 | 1 restraint |
wR(F2) = 0.038 | Δρmax = 3.05 e Å−3 |
S = 0.89 | Δρmin = −1.56 e Å−3 |
2287 reflections | Absolute structure: Flack (1983), 1089 Friedel pairs |
141 parameters | Absolute structure parameter: 0.0 (2) |
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. |
x | y | z | Uiso*/Ueq | Occ. (<1) | |
Dy1 | 0.0000 | 0.69122 (4) | 0.08524 (3) | 0.0086 (2) | |
Dy2 | 0.0000 | 0.44849 (4) | 0.24158 (5) | 0.0242 (3) | |
Dy3 | 0.0000 | 0.10373 (4) | 0.23391 (4) | 0.0132 (2) | |
Dy4 | 0.0000 | 0.04543 (4) | 0.40541 (5) | 0.0125 (2) | |
Dy5 | 0.0000 | 0.85422 (4) | 0.07459 (5) | 0.0106 (2) | |
Dy6 | 0.0000 | 0.27636 (4) | 0.24724 (4) | 0.0100 (2) | |
Dy7 | 0.0000 | 0.37415 (4) | 0.41648 (5) | 0.0109 (2) | |
Dy8 | 0.5000 | 0.52208 (3) | 0.07589 (4) | 0.01244 (19) | |
Sn1 | 0.0000 | 0.70904 (6) | 0.40908 (8) | 0.0076 (2) | |
S1 | 0.0000 | 0.85740 (18) | 0.2105 (2) | 0.0088 (11) | |
S2 | 0.5000 | 0.43628 (19) | 0.3487 (2) | 0.0100 (10) | |
S3 | 0.5000 | 0.7734 (2) | 0.1121 (2) | 0.0089 (10) | |
S4 | 0.0000 | 0.48205 (18) | 0.4751 (2) | 0.0086 (9) | |
S5 | 0.0000 | 0.55462 (18) | 0.3115 (2) | 0.0100 (10) | |
S6 | 0.5000 | 0.63430 (18) | 0.0139 (2) | 0.0084 (10) | |
S7 | 0.0000 | 0.4362 (2) | 0.1072 (2) | 0.0121 (11) | |
S8 | 0.0000 | 0.58602 (18) | 0.13619 (19) | 0.0105 (9) | |
S9 | 0.5000 | 0.7460 (2) | 0.4772 (2) | 0.0141 (10) | |
S10 | 0.0000 | 0.1733 (2) | 0.3409 (2) | 0.0169 (10) | |
S11 | 0.0000 | 0.69522 (18) | 0.21604 (19) | 0.0079 (9) | |
S12 | 0.0000 | 0.6207 (2) | 0.4722 (2) | 0.0112 (10) | |
S13 | 0.0000 | 0.80025 (18) | 0.3496 (2) | 0.0096 (9) | |
O14 | 0.0000 | 0.0010 (3) | 0.2040 (4) | 0.034 (3) | 0.39 (4) |
S14 | 0.0000 | 0.0010 (3) | 0.2040 (4) | 0.034 (3) | 0.61 (4) |
U11 | U22 | U33 | U12 | U13 | U23 | |
Dy1 | 0.0068 (4) | 0.0089 (5) | 0.0101 (5) | 0.000 | 0.000 | −0.0003 (4) |
Dy2 | 0.0243 (5) | 0.0308 (6) | 0.0174 (7) | 0.000 | 0.000 | −0.0128 (5) |
Dy3 | 0.0077 (4) | 0.0231 (5) | 0.0089 (5) | 0.000 | 0.000 | 0.0020 (4) |
Dy4 | 0.0095 (5) | 0.0173 (5) | 0.0106 (5) | 0.000 | 0.000 | 0.0007 (4) |
Dy5 | 0.0062 (4) | 0.0107 (4) | 0.0149 (5) | 0.000 | 0.000 | 0.0034 (4) |
Dy6 | 0.0069 (4) | 0.0122 (4) | 0.0110 (5) | 0.000 | 0.000 | 0.0010 (4) |
Dy7 | 0.0083 (4) | 0.0162 (5) | 0.0083 (5) | 0.000 | 0.000 | −0.0014 (4) |
Dy8 | 0.0062 (4) | 0.0104 (4) | 0.0207 (5) | 0.000 | 0.000 | −0.0021 (4) |
Sn1 | 0.0069 (4) | 0.0080 (5) | 0.0079 (5) | 0.000 | 0.000 | 0.0016 (4) |
S1 | 0.012 (3) | 0.010 (2) | 0.005 (3) | 0.000 | 0.000 | −0.0009 (18) |
S2 | 0.007 (2) | 0.013 (2) | 0.010 (2) | 0.000 | 0.000 | −0.004 (2) |
S3 | 0.006 (2) | 0.010 (2) | 0.010 (3) | 0.000 | 0.000 | −0.002 (2) |
S4 | 0.008 (2) | 0.008 (2) | 0.010 (2) | 0.000 | 0.000 | 0.0019 (18) |
S5 | 0.009 (2) | 0.014 (2) | 0.006 (2) | 0.000 | 0.000 | 0.0020 (17) |
S6 | 0.008 (2) | 0.009 (2) | 0.008 (2) | 0.000 | 0.000 | 0.0006 (16) |
S7 | 0.008 (2) | 0.014 (2) | 0.014 (3) | 0.000 | 0.000 | −0.006 (2) |
S8 | 0.011 (2) | 0.012 (2) | 0.009 (2) | 0.000 | 0.000 | −0.0014 (16) |
S9 | 0.009 (2) | 0.021 (3) | 0.013 (2) | 0.000 | 0.000 | −0.0090 (18) |
S10 | 0.009 (2) | 0.029 (3) | 0.012 (2) | 0.000 | 0.000 | −0.011 (2) |
S11 | 0.010 (2) | 0.007 (2) | 0.007 (2) | 0.000 | 0.000 | 0.0045 (17) |
S12 | 0.013 (2) | 0.012 (2) | 0.009 (2) | 0.000 | 0.000 | 0.001 (2) |
S13 | 0.013 (2) | 0.008 (2) | 0.008 (2) | 0.000 | 0.000 | 0.0007 (18) |
O14 | 0.023 (4) | 0.022 (5) | 0.056 (6) | 0.000 | 0.000 | −0.004 (4) |
S14 | 0.023 (4) | 0.022 (5) | 0.056 (6) | 0.000 | 0.000 | −0.004 (4) |
Dy1—S8 | 2.711 (4) | Dy7—S13vii | 2.940 (3) |
Dy1—S9i | 2.735 (5) | Dy7—S13viii | 2.940 (3) |
Dy1—S3 | 2.769 (3) | Dy7—Dy7ii | 3.7822 (8) |
Dy1—S3ii | 2.769 (3) | Dy7—Dy7iii | 3.7822 (8) |
Dy1—S6ii | 2.772 (3) | Dy7—Dy1xii | 3.9078 (15) |
Dy1—S6 | 2.772 (3) | Dy8—S8iii | 2.739 (3) |
Dy1—S11 | 2.784 (4) | Dy8—S8 | 2.739 (3) |
Dy1—Dy1ii | 3.7822 (8) | Dy8—S14v | 2.770 (8) |
Dy1—Dy1iii | 3.7822 (8) | Dy8—O14v | 2.770 (8) |
Dy1—Dy5 | 3.8567 (14) | Dy8—S7 | 2.852 (4) |
Dy1—Dy7iv | 3.9078 (15) | Dy8—S7iii | 2.852 (4) |
Dy2—S14v | 2.399 (5) | Dy8—S4iv | 2.861 (3) |
Dy2—O14v | 2.399 (5) | Dy8—S4xiii | 2.861 (3) |
Dy2—S14vi | 2.399 (5) | Dy8—S6 | 2.960 (4) |
Dy2—O14vi | 2.399 (5) | Dy8—Dy8ii | 3.7822 (8) |
Dy2—S7 | 2.873 (5) | Dy8—Dy8iii | 3.7822 (8) |
Dy2—S5 | 2.914 (5) | Dy8—Dy3v | 3.8753 (14) |
Dy2—S1vii | 2.940 (3) | Sn1—S12 | 2.481 (5) |
Dy2—S1viii | 2.940 (3) | Sn1—S13 | 2.498 (5) |
Dy2—S2 | 2.976 (4) | Sn1—S10vi | 2.529 (3) |
Dy2—S2ii | 2.976 (4) | Sn1—S10v | 2.529 (3) |
Dy2—Dy2ii | 3.7822 (8) | Sn1—S9 | 2.537 (3) |
Dy2—Dy2iii | 3.7822 (8) | Sn1—S9ii | 2.537 (3) |
Dy3—O14 | 2.508 (7) | S1—Dy6vi | 2.802 (3) |
Dy3—S5viii | 2.765 (3) | S1—Dy6v | 2.802 (3) |
Dy3—S5vii | 2.765 (3) | S1—Dy2v | 2.940 (3) |
Dy3—S10 | 2.807 (5) | S1—Dy2vi | 2.940 (3) |
Dy3—S8vii | 2.841 (3) | S2—Dy7iii | 2.794 (4) |
Dy3—S8viii | 2.841 (3) | S2—Dy4v | 2.846 (5) |
Dy3—S11viii | 2.897 (3) | S2—Dy2iii | 2.976 (4) |
Dy3—S11vii | 2.897 (3) | S3—Dy1iii | 2.769 (3) |
Dy3—Dy3ii | 3.7822 (8) | S3—Dy5iii | 2.803 (4) |
Dy3—Dy3iii | 3.7822 (8) | S3—Dy6v | 2.876 (5) |
Dy3—Dy8vii | 3.8753 (14) | S4—Dy4v | 2.831 (3) |
Dy4—S5vii | 2.760 (3) | S4—Dy4vi | 2.831 (3) |
Dy4—S5viii | 2.760 (3) | S4—Dy8xi | 2.861 (3) |
Dy4—S4viii | 2.831 (3) | S4—Dy8xii | 2.861 (3) |
Dy4—S4vii | 2.831 (3) | S5—Dy4v | 2.760 (3) |
Dy4—S2vii | 2.846 (5) | S5—Dy4vi | 2.760 (3) |
Dy4—S12viii | 2.960 (4) | S5—Dy3vi | 2.765 (3) |
Dy4—S12vii | 2.960 (4) | S5—Dy3v | 2.765 (3) |
Dy4—Dy4iii | 3.7822 (8) | S6—Dy1iii | 2.772 (3) |
Dy4—Dy4ii | 3.7822 (8) | S6—Dy7iv | 2.813 (3) |
Dy4—Dy8ix | 3.9612 (17) | S6—Dy7xiii | 2.813 (3) |
Dy5—S7v | 2.794 (4) | S7—Dy5vii | 2.794 (4) |
Dy5—S7vi | 2.794 (4) | S7—Dy5viii | 2.794 (4) |
Dy5—S3 | 2.803 (4) | S7—Dy8ii | 2.852 (4) |
Dy5—S3ii | 2.803 (4) | S8—Dy8ii | 2.739 (3) |
Dy5—S1 | 2.892 (5) | S8—Dy3v | 2.841 (3) |
Dy5—S12x | 2.944 (4) | S8—Dy3vi | 2.841 (3) |
Dy5—S12i | 2.944 (4) | S9—Sn1iii | 2.537 (3) |
Dy5—S9i | 3.145 (5) | S9—Dy1xiv | 2.735 (5) |
Dy5—Dy5ii | 3.7822 (8) | S9—Dy5xiv | 3.145 (5) |
Dy5—Dy5iii | 3.7822 (8) | S10—Sn1viii | 2.529 (3) |
Dy5—Dy8vi | 3.9649 (15) | S10—Sn1vii | 2.529 (3) |
Dy6—S11vii | 2.773 (3) | S11—Dy6v | 2.773 (3) |
Dy6—S11viii | 2.773 (3) | S11—Dy6vi | 2.773 (3) |
Dy6—S1viii | 2.802 (3) | S11—Dy3vi | 2.897 (3) |
Dy6—S1vii | 2.802 (3) | S11—Dy3v | 2.897 (3) |
Dy6—S3vii | 2.876 (5) | S12—Dy5xiv | 2.944 (4) |
Dy6—S13viii | 2.939 (3) | S12—Dy5xv | 2.944 (4) |
Dy6—S13vii | 2.939 (3) | S12—Dy4vi | 2.960 (4) |
Dy6—S10 | 3.145 (5) | S12—Dy4v | 2.960 (4) |
Dy6—Dy6iii | 3.7822 (8) | S13—Dy6vi | 2.939 (3) |
Dy6—Dy6ii | 3.7822 (8) | S13—Dy6v | 2.939 (3) |
Dy7—S2 | 2.794 (4) | S13—Dy7v | 2.940 (3) |
Dy7—S2ii | 2.794 (4) | S13—Dy7vi | 2.940 (3) |
Dy7—S6xi | 2.813 (3) | O14—Dy2vii | 2.399 (5) |
Dy7—S6xii | 2.813 (3) | O14—Dy2viii | 2.399 (5) |
Dy7—S4 | 2.837 (5) | O14—Dy8vii | 2.770 (8) |
S8—Dy1—S9i | 146.41 (14) | S11vii—Dy6—S1viii | 149.95 (14) |
S8—Dy1—S3 | 124.06 (10) | S11viii—Dy6—S1viii | 86.85 (10) |
S9i—Dy1—S3 | 78.05 (13) | S11vii—Dy6—S1vii | 86.85 (9) |
S8—Dy1—S3ii | 124.06 (10) | S11viii—Dy6—S1vii | 149.95 (14) |
S9i—Dy1—S3ii | 78.05 (13) | S1viii—Dy6—S1vii | 84.89 (12) |
S3—Dy1—S3ii | 86.14 (13) | S11vii—Dy6—S3vii | 75.16 (11) |
S8—Dy1—S6ii | 76.95 (11) | S11viii—Dy6—S3vii | 75.16 (11) |
S9i—Dy1—S6ii | 78.66 (12) | S1viii—Dy6—S3vii | 74.79 (12) |
S3—Dy1—S6ii | 156.70 (14) | S1vii—Dy6—S3vii | 74.79 (12) |
S3ii—Dy1—S6ii | 89.24 (10) | S11vii—Dy6—S13viii | 138.49 (12) |
S8—Dy1—S6 | 76.95 (11) | S11viii—Dy6—S13viii | 82.60 (10) |
S9i—Dy1—S6 | 78.66 (12) | S1viii—Dy6—S13viii | 68.99 (11) |
S3—Dy1—S6 | 89.24 (10) | S1vii—Dy6—S13viii | 120.66 (12) |
S3ii—Dy1—S6 | 156.70 (14) | S3vii—Dy6—S13viii | 138.20 (6) |
S6ii—Dy1—S6 | 86.02 (13) | S11vii—Dy6—S13vii | 82.60 (10) |
S8—Dy1—S11 | 68.38 (12) | S11viii—Dy6—S13vii | 138.49 (12) |
S9i—Dy1—S11 | 145.21 (13) | S1viii—Dy6—S13vii | 120.66 (12) |
S3—Dy1—S11 | 76.72 (12) | S1vii—Dy6—S13vii | 68.99 (11) |
S3ii—Dy1—S11 | 76.72 (12) | S3vii—Dy6—S13vii | 138.20 (6) |
S6ii—Dy1—S11 | 124.29 (10) | S13viii—Dy6—S13vii | 80.09 (11) |
S6—Dy1—S11 | 124.29 (10) | S11vii—Dy6—S10 | 67.46 (10) |
S8—Dy1—Dy1ii | 90.0 | S11viii—Dy6—S10 | 67.46 (10) |
S9i—Dy1—Dy1ii | 90.0 | S1viii—Dy6—S10 | 134.86 (8) |
S3—Dy1—Dy1ii | 133.07 (7) | S1vii—Dy6—S10 | 134.86 (8) |
S3ii—Dy1—Dy1ii | 46.93 (7) | S3vii—Dy6—S10 | 127.89 (13) |
S6ii—Dy1—Dy1ii | 46.99 (6) | S13viii—Dy6—S10 | 71.30 (10) |
S6—Dy1—Dy1ii | 133.01 (6) | S13vii—Dy6—S10 | 71.30 (10) |
S11—Dy1—Dy1ii | 90.0 | S11vii—Dy6—Dy6iii | 133.00 (6) |
S8—Dy1—Dy1iii | 90.0 | S11viii—Dy6—Dy6iii | 47.00 (6) |
S9i—Dy1—Dy1iii | 90.0 | S1viii—Dy6—Dy6iii | 47.55 (6) |
S3—Dy1—Dy1iii | 46.93 (7) | S1vii—Dy6—Dy6iii | 132.45 (6) |
S3ii—Dy1—Dy1iii | 133.07 (7) | S3vii—Dy6—Dy6iii | 90.0 |
S6ii—Dy1—Dy1iii | 133.01 (6) | S13viii—Dy6—Dy6iii | 49.95 (5) |
S6—Dy1—Dy1iii | 46.99 (6) | S13vii—Dy6—Dy6iii | 130.05 (5) |
S11—Dy1—Dy1iii | 90.0 | S10—Dy6—Dy6iii | 90.0 |
Dy1ii—Dy1—Dy1iii | 180.00 (5) | S11vii—Dy6—Dy6ii | 47.00 (6) |
S8—Dy1—Dy5 | 159.81 (9) | S11viii—Dy6—Dy6ii | 133.00 (6) |
S9i—Dy1—Dy5 | 53.78 (10) | S1viii—Dy6—Dy6ii | 132.45 (6) |
S3—Dy1—Dy5 | 46.56 (8) | S1vii—Dy6—Dy6ii | 47.55 (6) |
S3ii—Dy1—Dy5 | 46.56 (8) | S3vii—Dy6—Dy6ii | 90.0 |
S6ii—Dy1—Dy5 | 116.87 (9) | S13viii—Dy6—Dy6ii | 130.05 (5) |
S6—Dy1—Dy5 | 116.87 (9) | S13vii—Dy6—Dy6ii | 49.95 (5) |
S11—Dy1—Dy5 | 91.43 (9) | S10—Dy6—Dy6ii | 90.0 |
Dy1ii—Dy1—Dy5 | 90.0 | Dy6iii—Dy6—Dy6ii | 180.00 (5) |
Dy1iii—Dy1—Dy5 | 90.0 | S2—Dy7—S2ii | 85.20 (14) |
S8—Dy1—Dy7iv | 90.29 (9) | S2—Dy7—S6xi | 87.83 (11) |
S9i—Dy1—Dy7iv | 56.12 (10) | S2ii—Dy7—S6xi | 150.73 (13) |
S3—Dy1—Dy7iv | 117.79 (10) | S2—Dy7—S6xii | 150.73 (13) |
S3ii—Dy1—Dy7iv | 117.79 (10) | S2ii—Dy7—S6xii | 87.83 (11) |
S6ii—Dy1—Dy7iv | 46.02 (7) | S6xi—Dy7—S6xii | 84.49 (13) |
S6—Dy1—Dy7iv | 46.02 (7) | S2—Dy7—S4 | 75.80 (11) |
S11—Dy1—Dy7iv | 158.67 (9) | S2ii—Dy7—S4 | 75.80 (11) |
Dy1ii—Dy1—Dy7iv | 90.0 | S6xi—Dy7—S4 | 74.93 (11) |
Dy1iii—Dy1—Dy7iv | 90.0 | S6xii—Dy7—S4 | 74.93 (11) |
Dy5—Dy1—Dy7iv | 109.91 (3) | S2—Dy7—S13vii | 119.86 (13) |
S14v—Dy2—O14v | 0.0 (5) | S2ii—Dy7—S13vii | 68.11 (12) |
S14v—Dy2—S14vi | 104.1 (3) | S6xi—Dy7—S13vii | 138.30 (12) |
O14v—Dy2—S14vi | 104.1 (3) | S6xii—Dy7—S13vii | 83.21 (10) |
S14v—Dy2—O14vi | 104.1 (3) | S4—Dy7—S13vii | 138.23 (6) |
O14v—Dy2—O14vi | 104.1 (3) | S2—Dy7—S13viii | 68.11 (12) |
S14vi—Dy2—O14vi | 0.0 (4) | S2ii—Dy7—S13viii | 119.86 (13) |
S14v—Dy2—S7 | 73.79 (19) | S6xi—Dy7—S13viii | 83.21 (10) |
O14v—Dy2—S7 | 73.79 (19) | S6xii—Dy7—S13viii | 138.30 (12) |
S14vi—Dy2—S7 | 73.79 (19) | S4—Dy7—S13viii | 138.23 (6) |
O14vi—Dy2—S7 | 73.79 (19) | S13vii—Dy7—S13viii | 80.06 (11) |
S14v—Dy2—S5 | 74.03 (17) | S2—Dy7—Dy7ii | 132.60 (7) |
O14v—Dy2—S5 | 74.03 (17) | S2ii—Dy7—Dy7ii | 47.40 (7) |
S14vi—Dy2—S5 | 74.03 (17) | S6xi—Dy7—Dy7ii | 132.25 (6) |
O14vi—Dy2—S5 | 74.03 (17) | S6xii—Dy7—Dy7ii | 47.75 (6) |
S7—Dy2—S5 | 126.46 (14) | S4—Dy7—Dy7ii | 90.0 |
S14v—Dy2—S1vii | 144.2 (2) | S13vii—Dy7—Dy7ii | 49.97 (6) |
O14v—Dy2—S1vii | 144.2 (2) | S13viii—Dy7—Dy7ii | 130.03 (6) |
S14vi—Dy2—S1vii | 78.26 (16) | S2—Dy7—Dy7iii | 47.40 (7) |
O14vi—Dy2—S1vii | 78.26 (16) | S2ii—Dy7—Dy7iii | 132.60 (7) |
S7—Dy2—S1vii | 72.68 (12) | S6xi—Dy7—Dy7iii | 47.75 (6) |
S5—Dy2—S1vii | 138.10 (7) | S6xii—Dy7—Dy7iii | 132.25 (6) |
S14v—Dy2—S1viii | 78.26 (16) | S4—Dy7—Dy7iii | 90.0 |
O14v—Dy2—S1viii | 78.26 (16) | S13vii—Dy7—Dy7iii | 130.03 (6) |
S14vi—Dy2—S1viii | 144.2 (2) | S13viii—Dy7—Dy7iii | 49.97 (6) |
O14vi—Dy2—S1viii | 144.2 (2) | Dy7ii—Dy7—Dy7iii | 180.00 (8) |
S7—Dy2—S1viii | 72.68 (12) | S2—Dy7—Dy1xii | 132.94 (8) |
S5—Dy2—S1viii | 138.10 (7) | S2ii—Dy7—Dy1xii | 132.94 (8) |
S1vii—Dy2—S1viii | 80.07 (11) | S6xi—Dy7—Dy1xii | 45.18 (7) |
S14v—Dy2—S2 | 78.71 (18) | S6xii—Dy7—Dy1xii | 45.18 (7) |
O14v—Dy2—S2 | 78.71 (18) | S4—Dy7—Dy1xii | 87.21 (9) |
S14vi—Dy2—S2 | 143.7 (2) | S13vii—Dy7—Dy1xii | 102.10 (8) |
O14vi—Dy2—S2 | 143.7 (2) | S13viii—Dy7—Dy1xii | 102.10 (8) |
S7—Dy2—S2 | 138.79 (7) | Dy7ii—Dy7—Dy1xii | 90.0 |
S5—Dy2—S2 | 72.10 (11) | Dy7iii—Dy7—Dy1xii | 90.0 |
S1vii—Dy2—S2 | 120.68 (12) | S8iii—Dy8—S8 | 87.33 (13) |
S1viii—Dy2—S2 | 72.10 (11) | S8iii—Dy8—S14v | 68.79 (14) |
S14v—Dy2—S2ii | 143.7 (2) | S8—Dy8—S14v | 68.79 (14) |
O14v—Dy2—S2ii | 143.7 (2) | S8iii—Dy8—O14v | 68.79 (14) |
S14vi—Dy2—S2ii | 78.71 (18) | S8—Dy8—O14v | 68.79 (14) |
O14vi—Dy2—S2ii | 78.71 (18) | S14v—Dy8—O14v | 0.0 (3) |
S7—Dy2—S2ii | 138.79 (7) | S8iii—Dy8—S7 | 137.78 (12) |
S5—Dy2—S2ii | 72.10 (11) | S8—Dy8—S7 | 79.92 (11) |
S1vii—Dy2—S2ii | 72.10 (11) | S14v—Dy8—S7 | 69.06 (15) |
S1viii—Dy2—S2ii | 120.68 (12) | O14v—Dy8—S7 | 69.06 (15) |
S2—Dy2—S2ii | 78.91 (12) | S8iii—Dy8—S7iii | 79.92 (11) |
S14v—Dy2—Dy2ii | 142.03 (14) | S8—Dy8—S7iii | 137.78 (12) |
O14v—Dy2—Dy2ii | 142.03 (14) | S14v—Dy8—S7iii | 69.06 (15) |
S14vi—Dy2—Dy2ii | 37.97 (14) | O14v—Dy8—S7iii | 69.06 (15) |
O14vi—Dy2—Dy2ii | 37.97 (14) | S7—Dy8—S7iii | 83.07 (13) |
S7—Dy2—Dy2ii | 90.0 | S8iii—Dy8—S4iv | 145.71 (13) |
S5—Dy2—Dy2ii | 90.0 | S8—Dy8—S4iv | 85.03 (10) |
S1vii—Dy2—Dy2ii | 49.97 (6) | S14v—Dy8—S4iv | 136.99 (8) |
S1viii—Dy2—Dy2ii | 130.03 (6) | O14v—Dy8—S4iv | 136.99 (8) |
S2—Dy2—Dy2ii | 129.46 (6) | S7—Dy8—S4iv | 73.29 (12) |
S2ii—Dy2—Dy2ii | 50.54 (6) | S7iii—Dy8—S4iv | 126.09 (13) |
S14v—Dy2—Dy2iii | 37.97 (14) | S8iii—Dy8—S4xiii | 85.03 (10) |
O14v—Dy2—Dy2iii | 37.97 (14) | S8—Dy8—S4xiii | 145.71 (13) |
S14vi—Dy2—Dy2iii | 142.03 (14) | S14v—Dy8—S4xiii | 136.99 (8) |
O14vi—Dy2—Dy2iii | 142.03 (14) | O14v—Dy8—S4xiii | 136.99 (8) |
S7—Dy2—Dy2iii | 90.0 | S7—Dy8—S4xiii | 126.09 (13) |
S5—Dy2—Dy2iii | 90.0 | S7iii—Dy8—S4xiii | 73.29 (12) |
S1vii—Dy2—Dy2iii | 130.03 (6) | S4iv—Dy8—S4xiii | 82.77 (12) |
S1viii—Dy2—Dy2iii | 49.97 (6) | S8iii—Dy8—S6 | 73.43 (10) |
S2—Dy2—Dy2iii | 50.54 (6) | S8—Dy8—S6 | 73.43 (10) |
S2ii—Dy2—Dy2iii | 129.46 (6) | S14v—Dy8—S6 | 126.78 (17) |
Dy2ii—Dy2—Dy2iii | 180.00 (6) | O14v—Dy8—S6 | 126.78 (17) |
O14—Dy3—S5viii | 75.25 (16) | S7—Dy8—S6 | 137.80 (7) |
O14—Dy3—S5vii | 75.25 (16) | S7iii—Dy8—S6 | 137.80 (7) |
S5viii—Dy3—S5vii | 86.32 (13) | S4iv—Dy8—S6 | 72.35 (11) |
O14—Dy3—S10 | 140.5 (2) | S4xiii—Dy8—S6 | 72.35 (11) |
S5viii—Dy3—S10 | 76.23 (12) | S8iii—Dy8—Dy8ii | 133.66 (6) |
S5vii—Dy3—S10 | 76.23 (12) | S8—Dy8—Dy8ii | 46.34 (6) |
O14—Dy3—S8vii | 70.86 (16) | S14v—Dy8—Dy8ii | 90.0 |
S5viii—Dy3—S8vii | 146.11 (13) | O14v—Dy8—Dy8ii | 90.0 |
S5vii—Dy3—S8vii | 85.38 (10) | S7—Dy8—Dy8ii | 48.47 (7) |
S10—Dy3—S8vii | 132.79 (8) | S7iii—Dy8—Dy8ii | 131.53 (7) |
O14—Dy3—S8viii | 70.86 (16) | S4iv—Dy8—Dy8ii | 48.62 (6) |
S5viii—Dy3—S8viii | 85.38 (10) | S4xiii—Dy8—Dy8ii | 131.38 (6) |
S5vii—Dy3—S8viii | 146.11 (13) | S6—Dy8—Dy8ii | 90.0 |
S10—Dy3—S8viii | 132.79 (8) | S8iii—Dy8—Dy8iii | 46.34 (6) |
S8vii—Dy3—S8viii | 83.46 (11) | S8—Dy8—Dy8iii | 133.66 (6) |
O14—Dy3—S11viii | 133.50 (11) | S14v—Dy8—Dy8iii | 90.0 |
S5viii—Dy3—S11viii | 86.83 (9) | O14v—Dy8—Dy8iii | 90.0 |
S5vii—Dy3—S11viii | 146.92 (13) | S7—Dy8—Dy8iii | 131.53 (7) |
S10—Dy3—S11viii | 70.70 (11) | S7iii—Dy8—Dy8iii | 48.47 (7) |
S8vii—Dy3—S11viii | 116.65 (11) | S4iv—Dy8—Dy8iii | 131.38 (6) |
S8viii—Dy3—S11viii | 65.12 (11) | S4xiii—Dy8—Dy8iii | 48.62 (6) |
O14—Dy3—S11vii | 133.50 (11) | S6—Dy8—Dy8iii | 90.0 |
S5viii—Dy3—S11vii | 146.92 (13) | Dy8ii—Dy8—Dy8iii | 180.0 |
S5vii—Dy3—S11vii | 86.83 (9) | S8iii—Dy8—Dy3v | 47.11 (7) |
S10—Dy3—S11vii | 70.70 (11) | S8—Dy8—Dy3v | 47.11 (7) |
S8vii—Dy3—S11vii | 65.12 (11) | S14v—Dy8—Dy3v | 40.19 (15) |
S8viii—Dy3—S11vii | 116.65 (11) | O14v—Dy8—Dy3v | 40.19 (15) |
S11viii—Dy3—S11vii | 81.52 (11) | S7—Dy8—Dy3v | 98.71 (10) |
O14—Dy3—Dy3ii | 90.0 | S7iii—Dy8—Dy3v | 98.71 (10) |
S5viii—Dy3—Dy3ii | 133.16 (6) | S4iv—Dy8—Dy3v | 131.84 (7) |
S5vii—Dy3—Dy3ii | 46.84 (6) | S4xiii—Dy8—Dy3v | 131.84 (7) |
S10—Dy3—Dy3ii | 90.0 | S6—Dy8—Dy3v | 86.59 (9) |
S8vii—Dy3—Dy3ii | 48.27 (6) | Dy8ii—Dy8—Dy3v | 90.0 |
S8viii—Dy3—Dy3ii | 131.73 (6) | Dy8iii—Dy8—Dy3v | 90.0 |
S11viii—Dy3—Dy3ii | 130.76 (5) | S12—Sn1—S13 | 177.64 (19) |
S11vii—Dy3—Dy3ii | 49.24 (5) | S12—Sn1—S10vi | 91.72 (15) |
O14—Dy3—Dy3iii | 90.0 | S13—Sn1—S10vi | 89.85 (14) |
S5viii—Dy3—Dy3iii | 46.84 (6) | S12—Sn1—S10v | 91.72 (15) |
S5vii—Dy3—Dy3iii | 133.16 (6) | S13—Sn1—S10v | 89.85 (14) |
S10—Dy3—Dy3iii | 90.0 | S10vi—Sn1—S10v | 96.82 (16) |
S8vii—Dy3—Dy3iii | 131.73 (6) | S12—Sn1—S9 | 88.85 (14) |
S8viii—Dy3—Dy3iii | 48.27 (6) | S13—Sn1—S9 | 89.58 (14) |
S11viii—Dy3—Dy3iii | 49.24 (5) | S10vi—Sn1—S9 | 179.39 (19) |
S11vii—Dy3—Dy3iii | 130.76 (5) | S10v—Sn1—S9 | 83.40 (8) |
Dy3ii—Dy3—Dy3iii | 180.00 (3) | S12—Sn1—S9ii | 88.85 (14) |
O14—Dy3—Dy8vii | 45.47 (18) | S13—Sn1—S9ii | 89.58 (13) |
S5viii—Dy3—Dy8vii | 107.98 (9) | S10vi—Sn1—S9ii | 83.40 (8) |
S5vii—Dy3—Dy8vii | 107.98 (9) | S10v—Sn1—S9ii | 179.39 (19) |
S10—Dy3—Dy8vii | 174.01 (11) | S9—Sn1—S9ii | 96.38 (16) |
S8vii—Dy3—Dy8vii | 44.94 (7) | Dy6vi—S1—Dy6v | 84.89 (12) |
S8viii—Dy3—Dy8vii | 44.94 (7) | Dy6vi—S1—Dy5 | 105.14 (12) |
S11viii—Dy3—Dy8vii | 104.92 (9) | Dy6v—S1—Dy5 | 105.14 (12) |
S11vii—Dy3—Dy8vii | 104.92 (8) | Dy6vi—S1—Dy2v | 150.61 (19) |
Dy3ii—Dy3—Dy8vii | 90.0 | Dy6v—S1—Dy2v | 90.17 (6) |
Dy3iii—Dy3—Dy8vii | 90.0 | Dy5—S1—Dy2v | 104.12 (12) |
S5vii—Dy4—S5viii | 86.51 (13) | Dy6vi—S1—Dy2vi | 90.17 (6) |
S5vii—Dy4—S4viii | 151.45 (13) | Dy6v—S1—Dy2vi | 150.61 (19) |
S5viii—Dy4—S4viii | 87.87 (10) | Dy5—S1—Dy2vi | 104.12 (12) |
S5vii—Dy4—S4vii | 87.87 (10) | Dy2v—S1—Dy2vi | 80.07 (11) |
S5viii—Dy4—S4vii | 151.45 (13) | Dy7—S2—Dy7iii | 85.20 (14) |
S4viii—Dy4—S4vii | 83.83 (12) | Dy7—S2—Dy4v | 104.92 (13) |
S5vii—Dy4—S2vii | 76.38 (11) | Dy7iii—S2—Dy4v | 104.92 (13) |
S5viii—Dy4—S2vii | 76.38 (11) | Dy7—S2—Dy2 | 90.90 (5) |
S4viii—Dy4—S2vii | 75.09 (11) | Dy7iii—S2—Dy2 | 151.17 (18) |
S4vii—Dy4—S2vii | 75.09 (11) | Dy4v—S2—Dy2 | 103.69 (13) |
S5vii—Dy4—S12viii | 137.58 (12) | Dy7—S2—Dy2iii | 151.17 (18) |
S5viii—Dy4—S12viii | 82.10 (11) | Dy7iii—S2—Dy2iii | 90.90 (5) |
S4viii—Dy4—S12viii | 68.88 (12) | Dy4v—S2—Dy2iii | 103.69 (13) |
S4vii—Dy4—S12viii | 119.56 (13) | Dy2—S2—Dy2iii | 78.91 (12) |
S2vii—Dy4—S12viii | 138.40 (7) | Dy1—S3—Dy1iii | 86.14 (13) |
S5vii—Dy4—S12vii | 82.10 (11) | Dy1—S3—Dy5iii | 151.58 (19) |
S5viii—Dy4—S12vii | 137.58 (12) | Dy1iii—S3—Dy5iii | 87.60 (5) |
S4viii—Dy4—S12vii | 119.56 (13) | Dy1—S3—Dy5 | 87.60 (5) |
S4vii—Dy4—S12vii | 68.88 (12) | Dy1iii—S3—Dy5 | 151.58 (19) |
S2vii—Dy4—S12vii | 138.40 (7) | Dy5iii—S3—Dy5 | 84.86 (13) |
S12viii—Dy4—S12vii | 79.43 (12) | Dy1—S3—Dy6v | 102.89 (13) |
S5vii—Dy4—Dy4iii | 133.25 (7) | Dy1iii—S3—Dy6v | 102.89 (13) |
S5viii—Dy4—Dy4iii | 46.75 (7) | Dy5iii—S3—Dy6v | 105.53 (13) |
S4viii—Dy4—Dy4iii | 48.09 (6) | Dy5—S3—Dy6v | 105.53 (13) |
S4vii—Dy4—Dy4iii | 131.91 (6) | Dy4v—S4—Dy4vi | 83.83 (12) |
S2vii—Dy4—Dy4iii | 90.0 | Dy4v—S4—Dy7 | 104.18 (12) |
S12viii—Dy4—Dy4iii | 50.28 (6) | Dy4vi—S4—Dy7 | 104.18 (12) |
S12vii—Dy4—Dy4iii | 129.72 (6) | Dy4v—S4—Dy8xi | 88.21 (5) |
S5vii—Dy4—Dy4ii | 46.75 (7) | Dy4vi—S4—Dy8xi | 148.43 (17) |
S5viii—Dy4—Dy4ii | 133.25 (7) | Dy7—S4—Dy8xi | 107.38 (12) |
S4viii—Dy4—Dy4ii | 131.91 (6) | Dy4v—S4—Dy8xii | 148.43 (17) |
S4vii—Dy4—Dy4ii | 48.09 (6) | Dy4vi—S4—Dy8xii | 88.21 (5) |
S2vii—Dy4—Dy4ii | 90.0 | Dy7—S4—Dy8xii | 107.38 (12) |
S12viii—Dy4—Dy4ii | 129.72 (6) | Dy8xi—S4—Dy8xii | 82.77 (12) |
S12vii—Dy4—Dy4ii | 50.28 (6) | Dy4v—S5—Dy4vi | 86.51 (13) |
Dy4iii—Dy4—Dy4ii | 180.00 (5) | Dy4v—S5—Dy3vi | 159.03 (18) |
S5vii—Dy4—Dy3 | 45.15 (7) | Dy4vi—S5—Dy3vi | 89.79 (4) |
S5viii—Dy4—Dy3 | 45.15 (7) | Dy4v—S5—Dy3v | 89.79 (4) |
S4viii—Dy4—Dy3 | 132.57 (7) | Dy4vi—S5—Dy3v | 159.03 (18) |
S4vii—Dy4—Dy3 | 132.57 (7) | Dy3vi—S5—Dy3v | 86.32 (13) |
S2vii—Dy4—Dy3 | 85.62 (10) | Dy4v—S5—Dy2 | 107.56 (12) |
S12viii—Dy4—Dy3 | 103.71 (10) | Dy4vi—S5—Dy2 | 107.56 (12) |
S12vii—Dy4—Dy3 | 103.71 (10) | Dy3vi—S5—Dy2 | 93.24 (12) |
Dy4iii—Dy4—Dy3 | 90.0 | Dy3v—S5—Dy2 | 93.24 (12) |
Dy4ii—Dy4—Dy3 | 90.0 | Dy1iii—S6—Dy1 | 86.02 (13) |
S5vii—Dy4—Dy8ix | 133.99 (7) | Dy1iii—S6—Dy7iv | 153.67 (17) |
S5viii—Dy4—Dy8ix | 133.99 (7) | Dy1—S6—Dy7iv | 88.80 (5) |
S4viii—Dy4—Dy8ix | 46.20 (7) | Dy1iii—S6—Dy7xiii | 88.80 (5) |
S4vii—Dy4—Dy8ix | 46.20 (7) | Dy1—S6—Dy7xiii | 153.67 (17) |
S2vii—Dy4—Dy8ix | 91.32 (10) | Dy7iv—S6—Dy7xiii | 84.49 (13) |
S12viii—Dy4—Dy8ix | 78.60 (10) | Dy1iii—S6—Dy8 | 100.99 (12) |
S12vii—Dy4—Dy8ix | 78.60 (10) | Dy1—S6—Dy8 | 100.99 (12) |
Dy4iii—Dy4—Dy8ix | 90.0 | Dy7iv—S6—Dy8 | 105.34 (11) |
Dy4ii—Dy4—Dy8ix | 90.0 | Dy7xiii—S6—Dy8 | 105.34 (11) |
Dy3—Dy4—Dy8ix | 176.94 (3) | Dy5vii—S7—Dy5viii | 85.19 (13) |
S7v—Dy5—S7vi | 85.19 (13) | Dy5vii—S7—Dy8ii | 89.21 (5) |
S7v—Dy5—S3 | 86.84 (11) | Dy5viii—S7—Dy8ii | 152.1 (2) |
S7vi—Dy5—S3 | 149.10 (16) | Dy5vii—S7—Dy8 | 152.1 (2) |
S7v—Dy5—S3ii | 149.10 (16) | Dy5viii—S7—Dy8 | 89.21 (5) |
S7vi—Dy5—S3ii | 86.84 (11) | Dy8ii—S7—Dy8 | 83.07 (13) |
S3—Dy5—S3ii | 84.86 (13) | Dy5vii—S7—Dy2 | 108.48 (14) |
S7v—Dy5—S1 | 74.57 (12) | Dy5viii—S7—Dy2 | 108.48 (14) |
S7vi—Dy5—S1 | 74.57 (12) | Dy8ii—S7—Dy2 | 99.23 (13) |
S3—Dy5—S1 | 74.54 (12) | Dy8—S7—Dy2 | 99.23 (13) |
S3ii—Dy5—S1 | 74.54 (12) | Dy1—S8—Dy8ii | 108.55 (12) |
S7v—Dy5—S12x | 118.62 (13) | Dy1—S8—Dy8 | 108.55 (12) |
S7vi—Dy5—S12x | 67.02 (12) | Dy8ii—S8—Dy8 | 87.33 (13) |
S3—Dy5—S12x | 141.31 (14) | Dy1—S8—Dy3v | 99.06 (12) |
S3ii—Dy5—S12x | 85.06 (11) | Dy8ii—S8—Dy3v | 152.05 (17) |
S1—Dy5—S12x | 137.24 (8) | Dy8—S8—Dy3v | 87.95 (5) |
S7v—Dy5—S12i | 67.02 (12) | Dy1—S8—Dy3vi | 99.06 (12) |
S7vi—Dy5—S12i | 118.62 (13) | Dy8ii—S8—Dy3vi | 87.95 (5) |
S3—Dy5—S12i | 85.06 (11) | Dy8—S8—Dy3vi | 152.05 (17) |
S3ii—Dy5—S12i | 141.31 (14) | Dy3v—S8—Dy3vi | 83.46 (11) |
S1—Dy5—S12i | 137.24 (8) | Sn1—S9—Sn1iii | 96.38 (16) |
S12x—Dy5—S12i | 79.93 (13) | Sn1—S9—Dy1xiv | 131.79 (8) |
S7v—Dy5—S9i | 133.23 (9) | Sn1iii—S9—Dy1xiv | 131.79 (8) |
S7vi—Dy5—S9i | 133.23 (9) | Sn1—S9—Dy5xiv | 96.74 (13) |
S3—Dy5—S9i | 71.02 (11) | Sn1iii—S9—Dy5xiv | 96.74 (13) |
S3ii—Dy5—S9i | 71.02 (11) | Dy1xiv—S9—Dy5xiv | 81.66 (13) |
S1—Dy5—S9i | 132.68 (13) | Sn1viii—S10—Sn1vii | 96.82 (16) |
S12x—Dy5—S9i | 70.38 (11) | Sn1viii—S10—Dy3 | 131.34 (8) |
S12i—Dy5—S9i | 70.38 (11) | Sn1vii—S10—Dy3 | 131.34 (8) |
S7v—Dy5—Dy5ii | 132.60 (7) | Sn1viii—S10—Dy6 | 96.03 (14) |
S7vi—Dy5—Dy5ii | 47.40 (7) | Sn1vii—S10—Dy6 | 96.03 (14) |
S3—Dy5—Dy5ii | 132.43 (7) | Dy3—S10—Dy6 | 86.55 (13) |
S3ii—Dy5—Dy5ii | 47.57 (7) | Dy6v—S11—Dy6vi | 85.99 (12) |
S1—Dy5—Dy5ii | 90.0 | Dy6v—S11—Dy1 | 105.23 (11) |
S12x—Dy5—Dy5ii | 50.03 (6) | Dy6vi—S11—Dy1 | 105.23 (11) |
S12i—Dy5—Dy5ii | 129.97 (6) | Dy6v—S11—Dy3vi | 158.35 (16) |
S9i—Dy5—Dy5ii | 90.0 | Dy6vi—S11—Dy3vi | 92.23 (4) |
S7v—Dy5—Dy5iii | 47.40 (7) | Dy1—S11—Dy3vi | 96.07 (11) |
S7vi—Dy5—Dy5iii | 132.60 (7) | Dy6v—S11—Dy3v | 92.23 (4) |
S3—Dy5—Dy5iii | 47.57 (7) | Dy6vi—S11—Dy3v | 158.35 (16) |
S3ii—Dy5—Dy5iii | 132.43 (7) | Dy1—S11—Dy3v | 96.07 (11) |
S1—Dy5—Dy5iii | 90.0 | Dy3vi—S11—Dy3v | 81.52 (11) |
S12x—Dy5—Dy5iii | 129.97 (6) | Sn1—S12—Dy5xiv | 103.38 (14) |
S12i—Dy5—Dy5iii | 50.03 (6) | Sn1—S12—Dy5xv | 103.38 (14) |
S9i—Dy5—Dy5iii | 90.0 | Dy5xiv—S12—Dy5xv | 79.93 (13) |
Dy5ii—Dy5—Dy5iii | 180.0 | Sn1—S12—Dy4vi | 104.21 (14) |
S7v—Dy5—Dy1 | 132.63 (8) | Dy5xiv—S12—Dy4vi | 152.42 (18) |
S7vi—Dy5—Dy1 | 132.63 (8) | Dy5xv—S12—Dy4vi | 93.75 (5) |
S3—Dy5—Dy1 | 45.84 (7) | Sn1—S12—Dy4v | 104.21 (14) |
S3ii—Dy5—Dy1 | 45.84 (7) | Dy5xiv—S12—Dy4v | 93.75 (5) |
S1—Dy5—Dy1 | 88.12 (9) | Dy5xv—S12—Dy4v | 152.42 (18) |
S12x—Dy5—Dy1 | 104.13 (10) | Dy4vi—S12—Dy4v | 79.43 (12) |
S12i—Dy5—Dy1 | 104.13 (10) | Sn1—S13—Dy6vi | 102.09 (12) |
S9i—Dy5—Dy1 | 44.56 (9) | Sn1—S13—Dy6v | 102.09 (12) |
Dy5ii—Dy5—Dy1 | 90.0 | Dy6vi—S13—Dy6v | 80.09 (11) |
Dy5iii—Dy5—Dy1 | 90.0 | Sn1—S13—Dy7v | 105.50 (12) |
S7v—Dy5—Dy8vi | 45.99 (8) | Dy6vi—S13—Dy7v | 152.39 (16) |
S7vi—Dy5—Dy8vi | 45.99 (8) | Dy6v—S13—Dy7v | 93.35 (5) |
S3—Dy5—Dy8vi | 132.78 (8) | Sn1—S13—Dy7vi | 105.50 (12) |
S3ii—Dy5—Dy8vi | 132.78 (8) | Dy6vi—S13—Dy7vi | 93.35 (5) |
S1—Dy5—Dy8vi | 88.11 (9) | Dy6v—S13—Dy7vi | 152.39 (16) |
S12x—Dy5—Dy8vi | 78.71 (9) | Dy7v—S13—Dy7vi | 80.06 (11) |
S12i—Dy5—Dy8vi | 78.71 (9) | Dy2vii—O14—Dy2viii | 104.1 (3) |
S9i—Dy5—Dy8vi | 139.21 (9) | Dy2vii—O14—Dy3 | 114.6 (2) |
Dy5ii—Dy5—Dy8vi | 90.0 | Dy2viii—O14—Dy3 | 114.6 (2) |
Dy5iii—Dy5—Dy8vi | 90.0 | Dy2vii—O14—Dy8vii | 114.9 (2) |
Dy1—Dy5—Dy8vi | 176.23 (4) | Dy2viii—O14—Dy8vii | 114.9 (2) |
S11vii—Dy6—S11viii | 85.99 (12) | Dy3—O14—Dy8vii | 94.3 (2) |
Symmetry codes: (i) −x+1/2, −y+3/2, z−1/2; (ii) x−1, y, z; (iii) x+1, y, z; (iv) −x, −y+1, z−1/2; (v) x+1/2, y+1/2, z; (vi) x−1/2, y+1/2, z; (vii) x−1/2, y−1/2, z; (viii) x+1/2, y−1/2, z; (ix) −x+1/2, −y+1/2, z+1/2; (x) −x−1/2, −y+3/2, z−1/2; (xi) −x+1, −y+1, z+1/2; (xii) −x, −y+1, z+1/2; (xiii) −x+1, −y+1, z−1/2; (xiv) −x+1/2, −y+3/2, z+1/2; (xv) −x−1/2, −y+3/2, z+1/2. |
Experimental details
Crystal data | |
Chemical formula | Dy8SnS13.61O0.39 |
Mr | 1861.27 |
Crystal system, space group | Orthorhombic, Cmc21 |
Temperature (K) | 293 |
a, b, c (Å) | 3.7822 (8), 23.620 (5), 21.271 (4) |
V (Å3) | 1900.3 (7) |
Z | 4 |
Radiation type | Mo Kα |
µ (mm−1) | 33.80 |
Crystal size (mm) | 0.14 × 0.01 × 0.01 |
Data collection | |
Diffractometer | KUMA KM-4 with CCD area-detector |
Absorption correction | Numerical (CrysAlis; Oxford Diffraction, 2007) |
Tmin, Tmax | 0.104, 0.716 |
No. of measured, independent and observed [I > 2σ(I)] reflections | 11655, 2287, 1910 |
Rint | 0.049 |
(sin θ/λ)max (Å−1) | 0.633 |
Refinement | |
R[F2 > 2σ(F2)], wR(F2), S | 0.026, 0.038, 0.89 |
No. of reflections | 2287 |
No. of parameters | 141 |
No. of restraints | 1 |
Δρmax, Δρmin (e Å−3) | 3.05, −1.56 |
Absolute structure | Flack (1983), 1089 Friedel pairs |
Absolute structure parameter | 0.0 (2) |
Computer programs: CrysAlis CCD (Oxford Diffraction, 2007), CrysAlis RED (Oxford Diffraction, 2007), SHELXS97 (Sheldrick, 1997), SHELXL97 (Sheldrick, 1997), DIAMOND (Brandenburg, 2005), publCIF (Westrip, 2007) and PLATON (Spek, 2003).
References
Besançon, P., Carré, D. & Laruelle, P. (1973). Acta Cryst. B29, 1064–1066. CrossRef IUCr Journals Web of Science Google Scholar
Brandenburg, K. (2005). DIAMOND. Release 3.0e. Crystal Impact GbR, Bonn, Germany. Google Scholar
Oxford Diffraction (2007). CrysAlis CCD and CrysAlis RED. Versions 1.171.32.6. Oxford Diffraction Ltd, Abingdon, Oxfordshire, England. Google Scholar
Schleid, T. (1991). Z. Anorg. Allg. Chem. 602, 39–47. CrossRef CAS Web of Science Google Scholar
Sheldrick, G. M. (1997). SHELXS97 and SHELXL97. University of Göttingen, Germany. Google Scholar
Spek, A. L. (2003). J. Appl. Cryst. 36, 7–13. Web of Science CrossRef CAS IUCr Journals Google Scholar
Westrip (2007). publCIF. In preparation. Google Scholar
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An attempt to synthesize Dy2SnS5, a compound with the La2SnS5 type structure was unsuccessful, resulting in a multiphase product. However, the formation of the new compound, Dy8SnS13S1 - xOx (x = 0.39 (4)) was achieved. The structure of this compound was investigated by means of single-crystal X-ray diffraction. In the initial stage of refinement, the composition Dy8SnS14 was assumed. However, unusually short Dy2—S14 (2.399 (5) Å) and Dy3—S14 (2.508 (7) Å) distances and a large value for the displacement parameter of S14 were observed. To complete the refinement, a statistical mixture (S and O) was assumed at the site of S14. Refinement of this model reduced the unusual displacement parameter to a physically reasonable value. The final composition was Dy8SnS13S1 - xOx (x = 0.39 (4)). The values of the Dy2—S14 (2.399 (5) Å) and Dy3—S14 (2.508 (7) Å) distances are intermediate between the Dy—O (2.220–2.264 Å) and Dy–S (2.704–2.742 Å) distances in Dy2OS2 (Schleid, 1991). A similar substitution of S by O in one position has also been observed in the structure of the La10S14S1 - xOx (x ≈ 1/2) compound (Besançon et al., 1973).
The unit cell and coordination polyhedra of the Dy and Sn atoms in the structure of the Dy8SnS14 - xOx (x = 0.39 (4)) compound are shown in Fig. 1. Sulfur and oxygen atoms surround each of eight symmetrically non-equivalent dysprosium atoms. However, only one mono-capped trigonal prism is evident (Dy1) along with seven bi-capped trigonal prisms around the remaining Dy atoms. The Sn atoms are located in tetrahedral surroundings of sulfur atoms. Trigonal prisms and tetrahedra are connected to each other by edges.