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A ternary hexa­erbium triacontacobalt enneakaideca­silicide, ErCo5Si3.17, crystallizes as a combination of disordered variants of the hexa­gonal UCo5Si3 (P63/m) and Yb6Co30P19 (P\overline{6}) structure types and is closely related to the Sc6Co30Si19 and Ce6Rh30Si19 types. The Er, Co and three of the Si atoms occupy sites of m.. symmetry and a fourth Si atom occupies a site of \overline{6}.. symmetry. The environment of the Er atom is a 21-vertex pseudo-Frank-Kasper polyhedron. Trigonal prismatic coordination is observed for the Si atoms. The Co atoms are enclosed in heavily deformed cubocta­hedra and 11-vertex polyhedra. Crystallochemistry analysis and the data from electronic structure calculations (TB-LMTO-ASA) suggest that the Er atoms form positively charged cations which compensate the negative charge of the [Co12Si9]m- polyanions.

Supporting information

cif

Crystallographic Information File (CIF) https://doi.org/10.1107/S2053229615009791/fn3196sup1.cif
Contains datablocks I, New_Global_Publ_Block

hkl

Structure factor file (CIF format) https://doi.org/10.1107/S2053229615009791/fn3196Isup2.hkl
Contains datablock I

CCDC reference: 1402198

Computing details top

Data collection: CrysAlis CCD (Oxford Diffraction, 2008); cell refinement: CrysAlis CCD (Oxford Diffraction, 2008); data reduction: CrysAlis RED (Oxford Diffraction, 2008); program(s) used to solve structure: SHELXS97 (Sheldrick, 2008); program(s) used to refine structure: SHELXL97 (Sheldrick, 2008); molecular graphics: DIAMOND (Brandenburg, 2006); software used to prepare material for publication: SHELXL97 (Sheldrick, 2008).

Hexaerbium triacontacobalt enneakaidecasilicide top
Crystal data top
ErCo5Si3.17Dx = 7.763 Mg m3
Dm = 7.74 Mg m3
Dm measured by not measured
Mr = 3305.17Mo Kα radiation, λ = 0.71073 Å
Hexagonal, P63/mCell parameters from 10399 reflections
Hall symbol: -P 6cθ = 4.2–28.3°
a = 14.8841 (1) ŵ = 35.42 mm1
c = 3.6850 (1) ÅT = 293 K
V = 706.99 (2) Å3Prism, grey
Z = 10.06 × 0.02 × 0.01 mm
F(000) = 1484
Data collection top
Oxford Diffraction Xcalibur3 CCD
diffractometer
670 independent reflections
Radiation source: fine-focus sealed tube623 reflections with I > 2σ(I)
Graphite monochromatorRint = 0.034
Detector resolution: 0 pixels mm-1θmax = 28.3°, θmin = 4.2°
ω scansh = 1919
Absorption correction: analytical
(CrysAlis RED; Oxford Diffraction, 2008)
k = 1919
Tmin = 0.211, Tmax = 0.632l = 44
10399 measured reflections
Refinement top
Refinement on F2Primary atom site location: structure-invariant direct methods
Least-squares matrix: fullSecondary atom site location: difference Fourier map
R[F2 > 2σ(F2)] = 0.016 w = 1/[σ2(Fo2) + (0.0168P)2 + 3.530P]
where P = (Fo2 + 2Fc2)/3
wR(F2) = 0.038(Δ/σ)max < 0.001
S = 1.15Δρmax = 1.76 e Å3
670 reflectionsΔρmin = 0.99 e Å3
64 parametersExtinction correction: SHELXL97 (Sheldrick, 2008), Fc*=kFc[1+0.001xFc2λ3/sin(2θ)]-1/4
0 restraintsExtinction coefficient: 0.00177 (8)
Special details top

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 > σ(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 (Å2) top
xyzUiso*/UeqOcc. (<1)
Er10.396949 (18)0.100789 (18)0.25000.00555 (9)
Co20.65185 (6)0.22502 (6)0.25000.00493 (15)
Co30.45957 (6)0.92548 (6)0.25000.00480 (16)
Co40.27174 (5)0.22128 (6)0.25000.00498 (15)
Co50.14892 (5)0.41630 (6)0.25000.00490 (15)
Co60.16064 (18)0.0315 (2)0.25000.0059 (5)0.51
Co70.12521 (19)0.0253 (3)0.25000.0067 (5)0.49
Si80.00000.00000.25000.0074 (9)0.50
Si90.44280 (11)0.76103 (11)0.25000.0027 (3)
Si100.13621 (11)0.25488 (11)0.25000.0039 (3)
Si110.43194 (11)0.37082 (11)0.25000.0046 (3)
Atomic displacement parameters (Å2) top
U11U22U33U12U13U23
Er10.00602 (13)0.00534 (13)0.00581 (14)0.00324 (9)0.0000.000
Co20.0044 (3)0.0035 (3)0.0067 (3)0.0019 (3)0.0000.000
Co30.0035 (3)0.0039 (3)0.0069 (3)0.0018 (3)0.0000.000
Co40.0044 (3)0.0041 (3)0.0063 (3)0.0020 (3)0.0000.000
Co50.0037 (3)0.0049 (3)0.0065 (3)0.0024 (3)0.0000.000
Co60.0062 (13)0.0040 (9)0.0065 (8)0.0019 (12)0.0000.000
Co70.0064 (13)0.0051 (9)0.0081 (8)0.0024 (12)0.0000.000
Si80.0050 (13)0.0050 (13)0.012 (2)0.0025 (6)0.0000.000
Si90.0043 (6)0.0022 (6)0.0028 (6)0.0026 (5)0.0000.000
Si100.0030 (6)0.0032 (6)0.0050 (6)0.0012 (5)0.0000.000
Si110.0040 (6)0.0040 (7)0.0058 (7)0.0020 (5)0.0000.000
Geometric parameters (Å, º) top
Er1—Si9i2.8997 (11)Co6—Si82.194 (2)
Er1—Si9ii2.8997 (11)Co6—Si10xix2.250 (3)
Er1—Si11iii2.9010 (11)Co6—Si10iv2.2859 (18)
Er1—Si11iv2.9010 (11)Co6—Si10iii2.2859 (18)
Er1—Si10iii2.9155 (11)Co6—Co4iii2.608 (2)
Er1—Si10iv2.9155 (11)Co6—Co4iv2.608 (2)
Er1—Co5iv2.9853 (6)Co6—Co7iii2.709 (4)
Er1—Co5iii2.9853 (6)Co6—Co7iv2.709 (4)
Er1—Co3i2.9905 (6)Co6—Co7xvii2.723 (4)
Er1—Co3ii2.9905 (6)Co6—Co7xvi2.723 (4)
Er1—Co4iii3.0681 (6)Co6—Co6iii2.8653 (17)
Er1—Co4iv3.0681 (6)Co7—Si81.707 (2)
Co2—Si11v2.2896 (15)Co7—Si10xix2.356 (4)
Co2—Si9iv2.3887 (10)Co7—Co7iii2.5117 (16)
Co2—Si9iii2.3887 (10)Co7—Si8xx2.5117 (16)
Co2—Si9ii2.3906 (10)Co7—Co7xvii2.5117 (16)
Co2—Si9i2.3906 (10)Co7—Co7iv2.5117 (16)
Co2—Co2v2.6223 (13)Co7—Si8xxi2.5117 (16)
Co2—Co2vi2.6223 (13)Co7—Co7xvi2.5117 (16)
Co2—Co3ii2.7291 (7)Co7—Si10iv2.524 (2)
Co2—Co3i2.7291 (7)Co7—Si10iii2.524 (2)
Co2—Co5vii2.7359 (7)Co7—Co6xvii2.709 (4)
Co2—Co5viii2.7359 (7)Si8—Co7xix1.707 (2)
Co2—Er1v3.2830 (8)Si8—Co7xviii1.707 (2)
Co3—Si11ix2.3134 (16)Si8—Si8xxi1.8425
Co3—Si92.3328 (15)Si8—Si8xx1.8425
Co3—Si11x2.3330 (10)Si8—Co6xix2.194 (2)
Co3—Si11xi2.3330 (10)Si8—Co6xviii2.194 (2)
Co3—Co5xii2.4983 (11)Si8—Co7xvii2.5117 (16)
Co3—Co3xiii2.6635 (10)Si8—Co7xx2.5117 (16)
Co3—Co3xiv2.6635 (10)Si8—Co7iii2.5117 (16)
Co3—Co2ii2.7291 (7)Si8—Co7iv2.5117 (16)
Co3—Co2i2.7291 (7)Si9—Co5ix2.3376 (15)
Co3—Er1i2.9905 (6)Si9—Co2xvi2.3887 (10)
Co3—Er1ii2.9905 (6)Si9—Co2xvii2.3887 (10)
Co3—Er1xv3.1795 (8)Si9—Co2ii2.3906 (10)
Co4—Si102.3083 (16)Si9—Co2i2.3906 (10)
Co4—Si112.3092 (15)Si9—Si9xii2.649 (2)
Co4—Si10iii2.3253 (10)Si9—Si9ix2.649 (2)
Co4—Si10iv2.3253 (10)Si9—Er1i2.8997 (11)
Co4—Co62.458 (3)Si9—Er1ii2.8997 (11)
Co4—Co6xvi2.608 (2)Si10—Co6xviii2.250 (3)
Co4—Co6xvii2.608 (2)Si10—Co6xvi2.2859 (18)
Co4—Co72.628 (3)Si10—Co6xvii2.2859 (18)
Co4—Co5iv2.6493 (7)Si10—Co4xvi2.3253 (10)
Co4—Co5iii2.6493 (7)Si10—Co4xvii2.3253 (10)
Co4—Co7xvi2.885 (2)Si10—Co7xviii2.356 (4)
Co4—Co7xvii2.885 (2)Si10—Co7xvi2.524 (2)
Co5—Si102.3138 (16)Si10—Co7xvii2.524 (2)
Co5—Si11xvi2.3369 (10)Si10—Er1xvii2.9155 (11)
Co5—Si11xvii2.3369 (10)Si10—Er1xvi2.9155 (11)
Co5—Si9xii2.3376 (15)Si11—Co2vi2.2896 (15)
Co5—Co3ix2.4983 (11)Si11—Co3xii2.3134 (16)
Co5—Co4xvi2.6493 (7)Si11—Co3vii2.3330 (10)
Co5—Co4xvii2.6493 (7)Si11—Co3viii2.3330 (10)
Co5—Co2xi2.7359 (7)Si11—Co5iii2.3369 (10)
Co5—Co2x2.7359 (7)Si11—Co5iv2.3369 (10)
Co5—Er1xvii2.9853 (6)Si11—Er1xvi2.9010 (11)
Co5—Er1xvi2.9853 (6)Si11—Er1xvii2.9010 (11)
Co5—Er1xviii3.2195 (7)
Si9i—Er1—Si9ii78.90 (4)Si10iv—Co6—Co458.57 (7)
Si9i—Er1—Si11iii135.54 (4)Si10iii—Co6—Co458.57 (7)
Si9ii—Er1—Si11iii84.64 (3)Si8—Co6—Co4iii119.67 (8)
Si9i—Er1—Si11iv84.64 (3)Si10xix—Co6—Co4iii56.62 (6)
Si9ii—Er1—Si11iv135.54 (4)Si10iv—Co6—Co4iii125.26 (10)
Si11iii—Er1—Si11iv78.86 (4)Si10iii—Co6—Co4iii55.82 (5)
Si9i—Er1—Si10iii135.54 (4)Co4—Co6—Co4iii110.26 (7)
Si9ii—Er1—Si10iii84.87 (3)Si8—Co6—Co4iv119.67 (8)
Si11iii—Er1—Si10iii82.67 (3)Si10xix—Co6—Co4iv56.62 (6)
Si11iv—Er1—Si10iii132.46 (4)Si10iv—Co6—Co4iv55.82 (5)
Si9i—Er1—Si10iv84.87 (3)Si10iii—Co6—Co4iv125.26 (10)
Si9ii—Er1—Si10iv135.54 (4)Co4—Co6—Co4iv110.26 (7)
Si11iii—Er1—Si10iv132.46 (4)Co4iii—Co6—Co4iv89.91 (9)
Si11iv—Er1—Si10iv82.67 (3)Si8—Co6—Co7iii60.54 (8)
Si10iii—Er1—Si10iv78.39 (4)Si10xix—Co6—Co7iii60.33 (9)
Si9i—Er1—Co5iv46.78 (3)Si10iv—Co6—Co7iii169.02 (15)
Si9ii—Er1—Co5iv95.71 (3)Si10iii—Co6—Co7iii83.42 (5)
Si11iii—Er1—Co5iv177.62 (3)Co4—Co6—Co7iii131.30 (9)
Si11iv—Er1—Co5iv102.424 (19)Co4iii—Co6—Co7iii59.20 (5)
Si10iii—Er1—Co5iv95.01 (3)Co4iv—Co6—Co7iii116.68 (13)
Si10iv—Er1—Co5iv46.16 (3)Si8—Co6—Co7iv60.54 (8)
Si9i—Er1—Co5iii95.71 (3)Si10xix—Co6—Co7iv60.33 (9)
Si9ii—Er1—Co5iii46.78 (3)Si10iv—Co6—Co7iv83.42 (5)
Si11iii—Er1—Co5iii102.424 (19)Si10iii—Co6—Co7iv169.02 (15)
Si11iv—Er1—Co5iii177.62 (3)Co4—Co6—Co7iv131.30 (9)
Si10iii—Er1—Co5iii46.16 (3)Co4iii—Co6—Co7iv116.68 (13)
Si10iv—Er1—Co5iii95.01 (3)Co4iv—Co6—Co7iv59.20 (5)
Co5iv—Er1—Co5iii76.224 (17)Co7iii—Co6—Co7iv85.69 (17)
Si9i—Er1—Co3i46.63 (3)Si8—Co6—Co7xvii60.30 (8)
Si9ii—Er1—Co3i95.52 (3)Si10xix—Co6—Co7xvii126.09 (9)
Si11iii—Er1—Co3i95.20 (3)Si10iv—Co6—Co7xvii55.29 (5)
Si11iv—Er1—Co3i46.21 (3)Si10iii—Co6—Co7xvii121.42 (15)
Si10iii—Er1—Co3i177.79 (3)Co4—Co6—Co7xvii67.44 (9)
Si10iv—Er1—Co3i102.740 (19)Co4iii—Co6—Co7xvii177.18 (14)
Co5iv—Er1—Co3i87.117 (16)Co4iv—Co6—Co7xvii92.44 (5)
Co5iii—Er1—Co3i135.25 (2)Co7iii—Co6—Co7xvii120.84 (7)
Si9i—Er1—Co3ii95.52 (3)Co7iv—Co6—Co7xvii65.95 (7)
Si9ii—Er1—Co3ii46.63 (3)Si8—Co6—Co7xvi60.30 (8)
Si11iii—Er1—Co3ii46.21 (3)Si10xix—Co6—Co7xvi126.09 (9)
Si11iv—Er1—Co3ii95.20 (3)Si10iv—Co6—Co7xvi121.42 (15)
Si10iii—Er1—Co3ii102.740 (19)Si10iii—Co6—Co7xvi55.29 (5)
Si10iv—Er1—Co3ii177.79 (3)Co4—Co6—Co7xvi67.44 (9)
Co5iv—Er1—Co3ii135.25 (2)Co4iii—Co6—Co7xvi92.44 (5)
Co5iii—Er1—Co3ii87.117 (16)Co4iv—Co6—Co7xvi177.18 (14)
Co3i—Er1—Co3ii76.065 (18)Co7iii—Co6—Co7xvi65.95 (7)
Si9i—Er1—Co4iii177.46 (2)Co7iv—Co6—Co7xvi120.84 (7)
Si9ii—Er1—Co4iii103.642 (19)Co7xvii—Co6—Co7xvi85.16 (16)
Si11iii—Er1—Co4iii45.41 (3)Si8—Co6—Co6iii67.486 (10)
Si11iv—Er1—Co4iii93.49 (3)Si10xix—Co6—Co6iii51.38 (8)
Si10iii—Er1—Co4iii45.29 (3)Si10iv—Co6—Co6iii163.15 (11)
Si10iv—Er1—Co4iii93.19 (3)Si10iii—Co6—Co6iii85.44 (7)
Co5iv—Er1—Co4iii132.30 (2)Co4—Co6—Co6iii138.08 (3)
Co5iii—Er1—Co4iii86.084 (16)Co4iii—Co6—Co6iii53.12 (9)
Co3i—Er1—Co4iii132.56 (2)Co4iv—Co6—Co6iii107.97 (11)
Co3ii—Er1—Co4iii86.352 (16)Co7iii—Co6—Co6iii9.51 (5)
Si9i—Er1—Co4iv103.642 (19)Co7iv—Co6—Co6iii83.59 (9)
Si9ii—Er1—Co4iv177.46 (2)Co7xvii—Co6—Co6iii127.34 (8)
Si11iii—Er1—Co4iv93.49 (3)Co7xvi—Co6—Co6iii74.72 (5)
Si11iv—Er1—Co4iv45.41 (3)Si8—Co7—Si10xix106.95 (16)
Si10iii—Er1—Co4iv93.19 (3)Si8—Co7—Co7iii70.134 (15)
Si10iv—Er1—Co4iv45.29 (3)Si10xix—Co7—Co7iii62.36 (10)
Co5iv—Er1—Co4iv86.084 (16)Si8—Co7—Si8xx47.19 (4)
Co5iii—Er1—Co4iv132.30 (2)Si10xix—Co7—Si8xx101.43 (10)
Co3i—Er1—Co4iv86.352 (16)Co7iii—Co7—Si8xx39.73 (3)
Co3ii—Er1—Co4iv132.56 (2)Si8—Co7—Co7xvii70.134 (15)
Co4iii—Er1—Co4iv73.817 (17)Si10xix—Co7—Co7xvii131.46 (4)
Si11v—Co2—Si9iv108.30 (4)Co7iii—Co7—Co7xvii140.27 (3)
Si11v—Co2—Si9iii108.30 (4)Si8xx—Co7—Co7xvii107.89 (6)
Si9iv—Co2—Si9iii100.95 (6)Si8—Co7—Co7iv70.134 (15)
Si11v—Co2—Si9ii108.25 (4)Si10xix—Co7—Co7iv62.36 (10)
Si9iv—Co2—Si9ii143.45 (5)Co7iii—Co7—Co7iv94.37 (8)
Si9iii—Co2—Si9ii67.32 (6)Si8xx—Co7—Co7iv107.89 (6)
Si11v—Co2—Si9i108.25 (4)Co7xvii—Co7—Co7iv72.11 (6)
Si9iv—Co2—Si9i67.32 (6)Si8—Co7—Si8xxi47.19 (4)
Si9iii—Co2—Si9i143.45 (5)Si10xix—Co7—Si8xxi101.43 (10)
Si9ii—Co2—Si9i100.84 (6)Co7iii—Co7—Si8xxi107.89 (6)
Si11v—Co2—Co2v150.09 (6)Si8xx—Co7—Si8xxi94.37 (8)
Si9iv—Co2—Co2v56.76 (3)Co7xvii—Co7—Si8xxi39.73 (3)
Si9iii—Co2—Co2v56.76 (3)Co7iv—Co7—Si8xxi39.73 (3)
Si9ii—Co2—Co2v90.30 (4)Si8—Co7—Co7xvi70.134 (15)
Si9i—Co2—Co2v90.30 (4)Si10xix—Co7—Co7xvi131.46 (4)
Si11v—Co2—Co2vi149.91 (6)Co7iii—Co7—Co7xvi72.11 (6)
Si9iv—Co2—Co2vi90.34 (4)Si8xx—Co7—Co7xvi39.73 (3)
Si9iii—Co2—Co2vi90.34 (4)Co7xvii—Co7—Co7xvi94.37 (8)
Si9ii—Co2—Co2vi56.69 (4)Co7iv—Co7—Co7xvi140.27 (3)
Si9i—Co2—Co2vi56.69 (4)Si8xxi—Co7—Co7xvi107.89 (6)
Co2v—Co2—Co2vi60.0Si8—Co7—Si10iv124.84 (9)
Si11v—Co2—Co3ii54.56 (3)Si10xix—Co7—Si10iv101.08 (8)
Si9iv—Co2—Co3ii162.79 (5)Co7iii—Co7—Si10iv161.88 (14)
Si9iii—Co2—Co3ii85.05 (3)Si8xx—Co7—Si10iv157.49 (15)
Si9ii—Co2—Co3ii53.72 (4)Co7xvii—Co7—Si10iv55.80 (11)
Si9i—Co2—Co3ii116.68 (4)Co7iv—Co7—Si10iv83.07 (8)
Co2v—Co2—Co3ii136.890 (14)Si8xxi—Co7—Si10iv81.53 (4)
Co2vi—Co2—Co3ii105.86 (3)Co7xvi—Co7—Si10iv120.60 (14)
Si11v—Co2—Co3i54.56 (3)Si8—Co7—Si10iii124.84 (9)
Si9iv—Co2—Co3i85.05 (3)Si10xix—Co7—Si10iii101.08 (8)
Si9iii—Co2—Co3i162.79 (5)Co7iii—Co7—Si10iii83.07 (8)
Si9ii—Co2—Co3i116.68 (4)Si8xx—Co7—Si10iii81.53 (4)
Si9i—Co2—Co3i53.72 (4)Co7xvii—Co7—Si10iii120.60 (14)
Co2v—Co2—Co3i136.890 (14)Co7iv—Co7—Si10iii161.88 (14)
Co2vi—Co2—Co3i105.86 (3)Si8xxi—Co7—Si10iii157.49 (15)
Co3ii—Co2—Co3i84.93 (3)Co7xvi—Co7—Si10iii55.80 (11)
Si11v—Co2—Co5vii54.55 (3)Si10iv—Co7—Si10iii93.79 (10)
Si9iv—Co2—Co5vii53.76 (4)Si8—Co7—Co4116.95 (16)
Si9iii—Co2—Co5vii116.60 (4)Si10xix—Co7—Co4136.10 (11)
Si9ii—Co2—Co5vii162.75 (5)Co7iii—Co7—Co4132.74 (4)
Si9i—Co2—Co5vii85.23 (3)Si8xx—Co7—Co4107.94 (10)
Co2v—Co2—Co5vii105.91 (3)Co7xvii—Co7—Co468.24 (10)
Co2vi—Co2—Co5vii137.021 (14)Co7iv—Co7—Co4132.74 (4)
Co3ii—Co2—Co5vii109.11 (3)Si8xxi—Co7—Co4107.94 (10)
Co3i—Co2—Co5vii54.41 (2)Co7xvi—Co7—Co468.24 (10)
Si11v—Co2—Co5viii54.55 (3)Si10iv—Co7—Co453.62 (6)
Si9iv—Co2—Co5viii116.60 (4)Si10iii—Co7—Co453.62 (6)
Si9iii—Co2—Co5viii53.76 (4)Si8—Co7—Co6xvii77.23 (12)
Si9ii—Co2—Co5viii85.23 (3)Si10xix—Co7—Co6xvii137.15 (8)
Si9i—Co2—Co5viii162.75 (5)Co7iii—Co7—Co6xvii146.63 (13)
Co2v—Co2—Co5viii105.91 (3)Si8xx—Co7—Co6xvii110.40 (14)
Co2vi—Co2—Co5viii137.021 (14)Co7xvii—Co7—Co6xvii9.80 (7)
Co3ii—Co2—Co5viii54.41 (2)Co7iv—Co7—Co6xvii80.65 (5)
Co3i—Co2—Co5viii109.11 (3)Si8xxi—Co7—Co6xvii49.53 (6)
Co5vii—Co2—Co5viii84.67 (3)Co7xvi—Co7—Co6xvii90.70 (11)
Si11v—Co2—Er1v83.55 (4)Si10iv—Co7—Co6xvii50.78 (5)
Si9iv—Co2—Er1v59.01 (3)Si10iii—Co7—Co6xvii111.14 (12)
Si9iii—Co2—Er1v59.01 (3)Co4—Co7—Co6xvii58.47 (7)
Si9ii—Co2—Er1v125.91 (3)Co7xix—Si8—Co7xviii120.0
Si9i—Co2—Er1v125.91 (3)Co7xix—Si8—Co7120.0
Co2v—Co2—Er1v66.53 (3)Co7xviii—Si8—Co7120.0
Co2vi—Co2—Er1v126.53 (3)Co7xix—Si8—Si8xxi90.0
Co3ii—Co2—Er1v112.83 (2)Co7xviii—Si8—Si8xxi90.0
Co3i—Co2—Er1v112.83 (2)Co7—Si8—Si8xxi90.0
Co5vii—Co2—Er1v58.630 (19)Co7xix—Si8—Si8xx90.0
Co5viii—Co2—Er1v58.630 (19)Co7xviii—Si8—Si8xx90.0
Si11ix—Co3—Si9114.41 (6)Co7—Si8—Si8xx90.0
Si11ix—Co3—Si11x110.05 (4)Si8xxi—Si8—Si8xx180.0
Si9—Co3—Si11x108.76 (4)Co7xix—Si8—Co6xix0.33 (19)
Si11ix—Co3—Si11xi110.05 (4)Co7xviii—Si8—Co6xix119.67 (19)
Si9—Co3—Si11xi108.76 (4)Co7—Si8—Co6xix120.33 (19)
Si11x—Co3—Si11xi104.32 (6)Si8xxi—Si8—Co6xix90.0
Si11ix—Co3—Co5xii153.48 (5)Si8xx—Si8—Co6xix90.0
Si9—Co3—Co5xii92.11 (5)Co7xix—Si8—Co6xviii120.33 (19)
Si11x—Co3—Co5xii57.73 (3)Co7xviii—Si8—Co6xviii0.33 (19)
Si11xi—Co3—Co5xii57.73 (3)Co7—Si8—Co6xviii119.67 (19)
Si11ix—Co3—Co3xiii55.37 (3)Si8xxi—Si8—Co6xviii90.0
Si9—Co3—Co3xiii129.84 (3)Si8xx—Si8—Co6xviii90.0
Si11x—Co3—Co3xiii120.96 (5)Co6xix—Si8—Co6xviii120.0
Si11xi—Co3—Co3xiii54.68 (4)Co7xix—Si8—Co6119.67 (19)
Co5xii—Co3—Co3xiii108.03 (4)Co7xviii—Si8—Co6120.33 (19)
Si11ix—Co3—Co3xiv55.37 (3)Co7—Si8—Co60.33 (19)
Si9—Co3—Co3xiv129.84 (3)Si8xxi—Si8—Co690.0
Si11x—Co3—Co3xiv54.68 (4)Si8xx—Si8—Co690.0
Si11xi—Co3—Co3xiv120.96 (5)Co6xix—Si8—Co6120.0
Co5xii—Co3—Co3xiv108.03 (4)Co6xviii—Si8—Co6120.0
Co3xiii—Co3—Co3xiv87.54 (4)Co7xix—Si8—Co7xvii132.81 (4)
Si11ix—Co3—Co2ii131.79 (2)Co7xviii—Si8—Co7xvii70.134 (15)
Si9—Co3—Co2ii55.70 (3)Co7—Si8—Co7xvii70.135 (15)
Si11x—Co3—Co2ii53.08 (4)Si8xxi—Si8—Co7xvii42.81 (4)
Si11xi—Co3—Co2ii117.76 (5)Si8xx—Si8—Co7xvii137.19 (4)
Co5xii—Co3—Co2ii62.93 (2)Co6xix—Si8—Co7xvii132.81 (4)
Co3xiii—Co3—Co2ii170.65 (5)Co6xviii—Si8—Co7xvii69.93 (12)
Co3xiv—Co3—Co2ii93.019 (16)Co6—Si8—Co7xvii70.34 (12)
Si11ix—Co3—Co2i131.79 (2)Co7xix—Si8—Co7xx70.134 (15)
Si9—Co3—Co2i55.70 (3)Co7xviii—Si8—Co7xx70.135 (15)
Si11x—Co3—Co2i117.76 (5)Co7—Si8—Co7xx132.81 (4)
Si11xi—Co3—Co2i53.08 (4)Si8xxi—Si8—Co7xx137.19 (4)
Co5xii—Co3—Co2i62.93 (2)Si8xx—Si8—Co7xx42.81 (4)
Co3xiii—Co3—Co2i93.019 (16)Co6xix—Si8—Co7xx69.93 (12)
Co3xiv—Co3—Co2i170.65 (5)Co6xviii—Si8—Co7xx70.34 (12)
Co2ii—Co3—Co2i84.93 (3)Co6—Si8—Co7xx132.81 (4)
Si11ix—Co3—Er1i64.86 (3)Co7xvii—Si8—Co7xx140.27 (3)
Si9—Co3—Er1i64.64 (3)Co7xix—Si8—Co7iii70.134 (15)
Si11x—Co3—Er1i165.84 (4)Co7xviii—Si8—Co7iii132.81 (4)
Si11xi—Co3—Er1i89.80 (3)Co7—Si8—Co7iii70.135 (15)
Co5xii—Co3—Er1i132.56 (2)Si8xxi—Si8—Co7iii137.19 (4)
Co3xiii—Co3—Er1i68.15 (2)Si8xx—Si8—Co7iii42.81 (4)
Co3xiv—Co3—Er1i118.70 (4)Co6xix—Si8—Co7iii70.34 (12)
Co2ii—Co3—Er1i119.29 (3)Co6xviii—Si8—Co7iii132.81 (4)
Co2i—Co3—Er1i69.960 (17)Co6—Si8—Co7iii69.93 (12)
Si11ix—Co3—Er1ii64.86 (3)Co7xvii—Si8—Co7iii140.27 (3)
Si9—Co3—Er1ii64.64 (3)Co7xx—Si8—Co7iii72.11 (6)
Si11x—Co3—Er1ii89.80 (3)Co7xix—Si8—Co7iv70.135 (15)
Si11xi—Co3—Er1ii165.84 (4)Co7xviii—Si8—Co7iv132.81 (4)
Co5xii—Co3—Er1ii132.56 (2)Co7—Si8—Co7iv70.135 (15)
Co3xiii—Co3—Er1ii118.70 (4)Si8xxi—Si8—Co7iv42.81 (4)
Co3xiv—Co3—Er1ii68.15 (2)Si8xx—Si8—Co7iv137.19 (4)
Co2ii—Co3—Er1ii69.960 (17)Co6xix—Si8—Co7iv70.34 (12)
Co2i—Co3—Er1ii119.29 (3)Co6xviii—Si8—Co7iv132.81 (4)
Er1i—Co3—Er1ii76.065 (18)Co6—Si8—Co7iv69.93 (12)
Si11ix—Co3—Er1xv85.62 (4)Co7xvii—Si8—Co7iv72.11 (6)
Si9—Co3—Er1xv159.98 (4)Co7xx—Si8—Co7iv140.27 (3)
Si11x—Co3—Er1xv61.25 (3)Co7iii—Si8—Co7iv94.37 (8)
Si11xi—Co3—Er1xv61.25 (3)Co3—Si9—Co5ix123.70 (6)
Co5xii—Co3—Er1xv67.87 (2)Co3—Si9—Co2xvi129.48 (3)
Co3xiii—Co3—Er1xv60.81 (3)Co5ix—Si9—Co2xvi70.73 (4)
Co3xiv—Co3—Er1xv60.81 (3)Co3—Si9—Co2xvii129.48 (3)
Co2ii—Co3—Er1xv111.50 (2)Co5ix—Si9—Co2xvii70.73 (4)
Co2i—Co3—Er1xv111.50 (2)Co2xvi—Si9—Co2xvii100.95 (6)
Er1i—Co3—Er1xv128.963 (17)Co3—Si9—Co2ii70.58 (4)
Er1ii—Co3—Er1xv128.963 (17)Co5ix—Si9—Co2ii129.54 (3)
Si10—Co4—Si11112.59 (6)Co2xvi—Si9—Co2ii66.55 (3)
Si10—Co4—Si10iii108.86 (5)Co2xvii—Si9—Co2ii142.29 (7)
Si11—Co4—Si10iii110.70 (4)Co3—Si9—Co2i70.58 (4)
Si10—Co4—Si10iv108.86 (5)Co5ix—Si9—Co2i129.54 (3)
Si11—Co4—Si10iv110.70 (4)Co2xvi—Si9—Co2i142.29 (7)
Si10iii—Co4—Si10iv104.81 (6)Co2xvii—Si9—Co2i66.55 (3)
Si10—Co4—Co695.18 (7)Co2ii—Si9—Co2i100.84 (6)
Si11—Co4—Co6152.23 (7)Co3—Si9—Si9xii148.01 (8)
Si10iii—Co4—Co657.01 (4)Co5ix—Si9—Si9xii88.30 (8)
Si10iv—Co4—Co657.01 (4)Co2xvi—Si9—Si9xii56.37 (4)
Si10—Co4—Co6xvi55.01 (6)Co2xvii—Si9—Si9xii56.37 (4)
Si11—Co4—Co6xvi127.10 (5)Co2ii—Si9—Si9xii89.66 (4)
Si10iii—Co4—Co6xvi53.91 (7)Co2i—Si9—Si9xii89.66 (4)
Si10iv—Co4—Co6xvi122.05 (6)Co3—Si9—Si9ix88.01 (8)
Co6—Co4—Co6xvi68.82 (8)Co5ix—Si9—Si9ix148.30 (8)
Si10—Co4—Co6xvii55.01 (6)Co2xvi—Si9—Si9ix89.70 (4)
Si11—Co4—Co6xvii127.10 (5)Co2xvii—Si9—Si9ix89.70 (4)
Si10iii—Co4—Co6xvii122.05 (6)Co2ii—Si9—Si9ix56.31 (4)
Si10iv—Co4—Co6xvii53.91 (7)Co2i—Si9—Si9ix56.31 (4)
Co6—Co4—Co6xvii68.82 (8)Si9xii—Si9—Si9ix60.0
Co6xvi—Co4—Co6xvii89.91 (9)Co3—Si9—Er1i68.73 (3)
Si10—Co4—Co784.86 (7)Co5ix—Si9—Er1i68.53 (3)
Si11—Co4—Co7162.54 (7)Co2xvi—Si9—Er1i137.68 (6)
Si10iii—Co4—Co760.90 (4)Co2xvii—Si9—Er1i76.06 (2)
Si10iv—Co4—Co760.90 (4)Co2ii—Si9—Er1i137.70 (6)
Co6—Co4—Co710.31 (7)Co2i—Si9—Er1i76.12 (2)
Co6xvi—Co4—Co762.33 (8)Si9xii—Si9—Er1i131.97 (5)
Co6xvii—Co4—Co762.33 (8)Si9ix—Si9—Er1i131.96 (5)
Si10—Co4—Co5iv128.94 (3)Co3—Si9—Er1ii68.73 (3)
Si11—Co4—Co5iv55.73 (3)Co5ix—Si9—Er1ii68.53 (3)
Si10iii—Co4—Co5iv121.88 (5)Co2xvi—Si9—Er1ii76.06 (2)
Si10iv—Co4—Co5iv54.97 (4)Co2xvii—Si9—Er1ii137.68 (6)
Co6—Co4—Co5iv106.87 (5)Co2ii—Si9—Er1ii76.12 (2)
Co6xvi—Co4—Co5iv175.02 (7)Co2i—Si9—Er1ii137.70 (6)
Co6xvii—Co4—Co5iv90.77 (5)Si9xii—Si9—Er1ii131.97 (5)
Co7—Co4—Co5iv113.78 (4)Si9ix—Si9—Er1ii131.96 (5)
Si10—Co4—Co5iii128.94 (3)Er1i—Si9—Er1ii78.90 (4)
Si11—Co4—Co5iii55.73 (3)Co6xviii—Si10—Co6xvi78.34 (10)
Si10iii—Co4—Co5iii54.97 (4)Co6xviii—Si10—Co6xvii78.34 (10)
Si10iv—Co4—Co5iii121.88 (5)Co6xvi—Si10—Co6xvii107.42 (13)
Co6—Co4—Co5iii106.87 (5)Co6xviii—Si10—Co4123.10 (9)
Co6xvi—Co4—Co5iii90.77 (5)Co6xvi—Si10—Co469.16 (8)
Co6xvii—Co4—Co5iii175.02 (7)Co6xvii—Si10—Co469.16 (8)
Co7—Co4—Co5iii113.78 (4)Co6xviii—Si10—Co5110.15 (9)
Co5iv—Co4—Co5iii88.13 (3)Co6xvi—Si10—Co5126.29 (6)
Si10—Co4—Co7xvi56.86 (7)Co6xvii—Si10—Co5126.29 (6)
Si11—Co4—Co7xvi135.23 (4)Co4—Si10—Co5126.75 (7)
Si10iii—Co4—Co7xvi52.45 (7)Co6xviii—Si10—Co4xvi69.47 (5)
Si10iv—Co4—Co7xvi113.75 (6)Co6xvi—Si10—Co4xvi64.41 (7)
Co6—Co4—Co7xvi60.66 (8)Co6xvii—Si10—Co4xvi147.72 (9)
Co6xvi—Co4—Co7xvi8.39 (6)Co4—Si10—Co4xvi127.57 (3)
Co6xvii—Co4—Co7xvi85.03 (5)Co5—Si10—Co4xvi69.65 (4)
Co7—Co4—Co7xvi53.97 (7)Co6xviii—Si10—Co4xvii69.47 (5)
Co5iv—Co4—Co7xvi167.53 (6)Co6xvi—Si10—Co4xvii147.72 (9)
Co5iii—Co4—Co7xvi95.05 (4)Co6xvii—Si10—Co4xvii64.41 (7)
Si10—Co4—Co7xvii56.86 (7)Co4—Si10—Co4xvii127.57 (3)
Si11—Co4—Co7xvii135.23 (4)Co5—Si10—Co4xvii69.65 (4)
Si10iii—Co4—Co7xvii113.75 (6)Co4xvi—Si10—Co4xvii104.81 (6)
Si10iv—Co4—Co7xvii52.45 (7)Co6xviii—Si10—Co7xviii11.86 (6)
Co6—Co4—Co7xvii60.66 (8)Co6xvi—Si10—Co7xviii71.82 (9)
Co6xvi—Co4—Co7xvii85.03 (5)Co6xvii—Si10—Co7xviii71.82 (9)
Co6xvii—Co4—Co7xvii8.39 (6)Co4—Si10—Co7xviii111.24 (9)
Co7—Co4—Co7xvii53.97 (7)Co5—Si10—Co7xviii122.01 (9)
Co5iv—Co4—Co7xvii95.05 (4)Co4xvi—Si10—Co7xviii76.07 (5)
Co5iii—Co4—Co7xvii167.53 (6)Co4xvii—Si10—Co7xviii76.07 (5)
Co7xvi—Co4—Co7xvii79.39 (7)Co6xviii—Si10—Co7xvi68.89 (9)
Si10—Co5—Si11xvi110.12 (4)Co6xvi—Si10—Co7xvi10.16 (6)
Si10—Co5—Si11xvii110.12 (4)Co6xvii—Si10—Co7xvi101.11 (8)
Si11xvi—Co5—Si11xvii104.08 (6)Co4—Si10—Co7xvi73.16 (8)
Si10—Co5—Si9xii115.05 (6)Co5—Si10—Co7xvi132.01 (6)
Si11xvi—Co5—Si9xii108.44 (4)Co4xvi—Si10—Co7xvi65.48 (7)
Si11xvii—Co5—Si9xii108.44 (4)Co4xvii—Si10—Co7xvi137.90 (9)
Si10—Co5—Co3ix153.37 (5)Co7xviii—Si10—Co7xvi61.84 (8)
Si11xvi—Co5—Co3ix57.58 (3)Co6xviii—Si10—Co7xvii68.89 (9)
Si11xvii—Co5—Co3ix57.58 (3)Co6xvi—Si10—Co7xvii101.11 (8)
Si9xii—Co5—Co3ix91.59 (5)Co6xvii—Si10—Co7xvii10.16 (6)
Si10—Co5—Co4xvi55.38 (3)Co4—Si10—Co7xvii73.16 (8)
Si11xvi—Co5—Co4xvi54.74 (4)Co5—Si10—Co7xvii132.01 (6)
Si11xvii—Co5—Co4xvi121.29 (4)Co4xvi—Si10—Co7xvii137.90 (9)
Si9xii—Co5—Co4xvi129.72 (3)Co4xvii—Si10—Co7xvii65.48 (7)
Co3ix—Co5—Co4xvi108.10 (3)Co7xviii—Si10—Co7xvii61.84 (8)
Si10—Co5—Co4xvii55.38 (3)Co7xvi—Si10—Co7xvii93.79 (10)
Si11xvi—Co5—Co4xvii121.29 (4)Co6xviii—Si10—Er1xvii140.11 (2)
Si11xvii—Co5—Co4xvii54.74 (4)Co6xvi—Si10—Er1xvii136.46 (9)
Si9xii—Co5—Co4xvii129.72 (3)Co6xvii—Si10—Er1xvii72.91 (6)
Co3ix—Co5—Co4xvii108.10 (3)Co4—Si10—Er1xvii70.85 (4)
Co4xvi—Co5—Co4xvii88.13 (3)Co5—Si10—Er1xvii68.51 (3)
Si10—Co5—Co2xi132.08 (2)Co4xvi—Si10—Er1xvii135.70 (6)
Si11xvi—Co5—Co2xi117.35 (4)Co4xvii—Si10—Er1xvii73.39 (3)
Si11xvii—Co5—Co2xi52.95 (4)Co7xviii—Si10—Er1xvii140.650 (19)
Si9xii—Co5—Co2xi55.51 (3)Co7xvi—Si10—Er1xvii143.22 (9)
Co3ix—Co5—Co2xi62.66 (2)Co7xvii—Si10—Er1xvii83.00 (5)
Co4xvi—Co5—Co2xi170.52 (4)Co6xviii—Si10—Er1xvi140.11 (2)
Co4xvii—Co5—Co2xi92.843 (16)Co6xvi—Si10—Er1xvi72.91 (6)
Si10—Co5—Co2x132.08 (2)Co6xvii—Si10—Er1xvi136.46 (9)
Si11xvi—Co5—Co2x52.95 (4)Co4—Si10—Er1xvi70.85 (4)
Si11xvii—Co5—Co2x117.35 (4)Co5—Si10—Er1xvi68.51 (3)
Si9xii—Co5—Co2x55.51 (3)Co4xvi—Si10—Er1xvi73.39 (3)
Co3ix—Co5—Co2x62.66 (2)Co4xvii—Si10—Er1xvi135.70 (6)
Co4xvi—Co5—Co2x92.843 (16)Co7xviii—Si10—Er1xvi140.650 (19)
Co4xvii—Co5—Co2x170.52 (4)Co7xvi—Si10—Er1xvi83.00 (5)
Co2xi—Co5—Co2x84.67 (3)Co7xvii—Si10—Er1xvi143.22 (9)
Si10—Co5—Er1xvii65.33 (3)Er1xvii—Si10—Er1xvi78.39 (4)
Si11xvi—Co5—Er1xvii166.01 (3)Co2vi—Si11—Co4116.07 (6)
Si11xvii—Co5—Er1xvii89.83 (3)Co2vi—Si11—Co3xii116.42 (6)
Si9xii—Co5—Er1xvii64.69 (3)Co4—Si11—Co3xii127.50 (7)
Co3ix—Co5—Er1xvii132.23 (2)Co2vi—Si11—Co3vii72.36 (4)
Co4xvi—Co5—Er1xvii119.05 (3)Co4—Si11—Co3vii127.75 (3)
Co4xvii—Co5—Er1xvii68.103 (18)Co3xii—Si11—Co3vii69.95 (4)
Co2xi—Co5—Er1xvii69.881 (17)Co2vi—Si11—Co3viii72.36 (4)
Co2x—Co5—Er1xvii119.17 (3)Co4—Si11—Co3viii127.75 (3)
Si10—Co5—Er1xvi65.33 (3)Co3xii—Si11—Co3viii69.95 (4)
Si11xvi—Co5—Er1xvi89.83 (3)Co3vii—Si11—Co3viii104.32 (6)
Si11xvii—Co5—Er1xvi166.01 (3)Co2vi—Si11—Co5iii72.50 (4)
Si9xii—Co5—Er1xvi64.69 (3)Co4—Si11—Co5iii69.53 (4)
Co3ix—Co5—Er1xvi132.23 (2)Co3xii—Si11—Co5iii127.91 (3)
Co4xvi—Co5—Er1xvi68.103 (18)Co3vii—Si11—Co5iii144.86 (7)
Co4xvii—Co5—Er1xvi119.05 (3)Co3viii—Si11—Co5iii64.68 (3)
Co2xi—Co5—Er1xvi119.17 (3)Co2vi—Si11—Co5iv72.50 (4)
Co2x—Co5—Er1xvi69.881 (17)Co4—Si11—Co5iv69.53 (4)
Er1xvii—Co5—Er1xvi76.224 (17)Co3xii—Si11—Co5iv127.91 (3)
Si10—Co5—Er1xviii87.19 (4)Co3vii—Si11—Co5iv64.68 (3)
Si11xvi—Co5—Er1xviii60.50 (3)Co3viii—Si11—Co5iv144.86 (7)
Si11xvii—Co5—Er1xviii60.50 (3)Co5iii—Si11—Co5iv104.08 (6)
Si9xii—Co5—Er1xviii157.76 (4)Co2vi—Si11—Er1xvi140.553 (18)
Co3ix—Co5—Er1xviii66.18 (2)Co4—Si11—Er1xvi71.12 (4)
Co4xvi—Co5—Er1xviii62.14 (2)Co3xii—Si11—Er1xvi68.93 (3)
Co4xvii—Co5—Er1xviii62.14 (2)Co3vii—Si11—Er1xvi136.57 (6)
Co2xi—Co5—Er1xviii110.14 (2)Co3viii—Si11—Er1xvi73.92 (2)
Co2x—Co5—Er1xviii110.14 (2)Co5iii—Si11—Er1xvi74.99 (2)
Er1xvii—Co5—Er1xviii130.220 (18)Co5iv—Si11—Er1xvi137.94 (6)
Er1xvi—Co5—Er1xviii130.220 (18)Co2vi—Si11—Er1xvii140.553 (18)
Si8—Co6—Si10xix95.42 (11)Co4—Si11—Er1xvii71.12 (4)
Si8—Co6—Si10iv114.53 (8)Co3xii—Si11—Er1xvii68.93 (3)
Si10xix—Co6—Si10iv112.38 (8)Co3vii—Si11—Er1xvii73.92 (2)
Si8—Co6—Si10iii114.53 (8)Co3viii—Si11—Er1xvii136.57 (6)
Si10xix—Co6—Si10iii112.38 (8)Co5iii—Si11—Er1xvii137.94 (6)
Si10iv—Co6—Si10iii107.42 (13)Co5iv—Si11—Er1xvii74.99 (2)
Si8—Co6—Co4106.31 (12)Er1xvi—Si11—Er1xvii78.86 (4)
Si10xix—Co6—Co4158.28 (12)
Symmetry codes: (i) x+1, y+1, z+1; (ii) x+1, y+1, z; (iii) y, x+y, z; (iv) y, x+y, z+1; (v) y+1, xy, z; (vi) x+y+1, x+1, z; (vii) xy+1, x, z+1; (viii) xy+1, x, z; (ix) y+1, xy+1, z; (x) y, x+y+1, z; (xi) y, x+y+1, z+1; (xii) x+y, x+1, z; (xiii) x+1, y+2, z+1; (xiv) x+1, y+2, z; (xv) x, y+1, z; (xvi) xy, x, z; (xvii) xy, x, z+1; (xviii) y, xy, z; (xix) x+y, x, z; (xx) x, y, z; (xxi) x, y, z+1.
 

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