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The crystal structure of single-crystal Kondo insulator YbB12 was studied at nine temperatures in the range 85–293 K based on X-ray diffraction data. Very weak Jahn–Teller distortions of the cubic lattice were detected at all temperatures, but did not require a revision of the structural model. Heat capacity and electrical conductivity of YbB12 single crystals were studied in the temperature range 1.9–300 K. It is found that both the structural parameters and the indicated physical properties have some specific features in the temperature range 120–160 K. The unit cell of YbB12 contracts when cooled below 160 K and expands at around 120 K. The temperature dependences of the equivalent atomic displacement parameters Ueq(T) are no longer monotonic around 140 K and should be modeled by two Einstein curves for Yb and two Debye curves for boron atoms above and below this temperature. As follows from the temperature behavior of the specific heat, coupled oscillations of Yb ions in a double-well potential lead to the appearance of a charge gap in the density of states and gradual deterioration in conductive properties of the crystal below 150 K. This metal–insulator phase transition is accompanied by a kink in the Ueq(T) curves and changes in the unit-cell values.

Supporting information

cif

Crystallographic Information File (CIF) https://doi.org/10.1107/S2052520620013566/dk5102sup1.cif
Contains datablocks global, 85K, 100K, 110K, 120K, 130K, 140K, 160K, 200K, 293K

hkl

Structure factor file (CIF format) https://doi.org/10.1107/S2052520620013566/dk510285Ksup2.hkl
Contains datablock 85K

hkl

Structure factor file (CIF format) https://doi.org/10.1107/S2052520620013566/dk5102100Ksup3.hkl
Contains datablock 100K

hkl

Structure factor file (CIF format) https://doi.org/10.1107/S2052520620013566/dk5102110Ksup4.hkl
Contains datablock 110K

hkl

Structure factor file (CIF format) https://doi.org/10.1107/S2052520620013566/dk5102120Ksup5.hkl
Contains datablock 120K

hkl

Structure factor file (CIF format) https://doi.org/10.1107/S2052520620013566/dk5102130Ksup6.hkl
Contains datablock 130K

hkl

Structure factor file (CIF format) https://doi.org/10.1107/S2052520620013566/dk5102140Ksup7.hkl
Contains datablock 140K

hkl

Structure factor file (CIF format) https://doi.org/10.1107/S2052520620013566/dk5102160Ksup8.hkl
Contains datablock 160K

hkl

Structure factor file (CIF format) https://doi.org/10.1107/S2052520620013566/dk5102200Ksup9.hkl
Contains datablock 200K

hkl

Structure factor file (CIF format) https://doi.org/10.1107/S2052520620013566/dk5102293Ksup10.hkl
Contains datablock 293K

CCDC references: 2036587; 2036588; 2036589; 2036590; 2036591; 2036592; 2036593; 2036594; 2036595

Computing details top

Data collection: CrysAlis PRO 1.171.39.46 (Rigaku OD, 2018) for (85K), 100K, 110K, 120K, 130K, 140K, 160K, 293K. Cell refinement: CrysAlis PRO 1.171.39.46 (Rigaku OD, 2018) for (85K), 100K, 110K, 120K, 130K, 140K, 160K, 293K. Data reduction: CrysAlis PRO 1.171.39.46 (Rigaku OD, 2018) for (85K), 100K, 110K, 120K, 130K, 140K, 160K, 293K.

(85K) top
Crystal data top
B12YbDx = 4.844 Mg m3
Mr = 302.8Mo Kα radiation, λ = 0.71073 Å
Cubic, Fm3mCell parameters from 7463 reflections
Hall symbol: -F 4 2 3θ = 4.7–73.8°
a = 7.4598 (2) ŵ = 22.35 mm1
V = 415.13 (2) Å3T = 88 K
Z = 4Plate, black
F(000) = 5200.39 × 0.29 × 0.11 mm
Data collection top
Xcalibur, EosS2 with high theta cut
diffractometer
267 independent reflections
Radiation source: X-ray tube267 reflections with I > 3σ(I)
Graphite monochromatorRint = 0.038
Detector resolution: 16.1745 pixels mm-1θmax = 74.2°, θmin = 4.7°
ω scansh = 1817
Absorption correction: analytical
CrysAlisPro 1.171.39.46 (Rigaku Oxford Diffraction, 2018) Analytical numeric absorption correction using a multifaceted crystal model based on expressions derived by R.C. Clark & J.S. Reid. (Clark, R. C. & Reid, J. S. (1995). Acta Cryst. A51, 887-897) Empirical absorption correction using spherical harmonics, implemented in SCALE3 ABSPACK scaling algorithm.
k = 1919
Tmin = 0.02, Tmax = 0.221l = 2020
10669 measured reflections
Refinement top
Refinement on F0 constraints
R[F2 > 2σ(F2)] = 0.010Weighting scheme based on measured s.u.'s w = 1/(σ2(F) + 0.000169F2)
wR(F2) = 0.013(Δ/σ)max = 0.003
S = 1.03Δρmax = 1.16 e Å3
267 reflectionsΔρmin = 1.63 e Å3
7 parametersExtinction correction: B-C type 1 Lorentzian isotropic (Becker & Coppens, 1974)
0 restraintsExtinction coefficient: 7100 (200)
Fractional atomic coordinates and isotropic or equivalent isotropic displacement parameters (Å2) top
xyzUiso*/Ueq
Yb10000.00107 (2)
B10.16928 (11)0.16928 (11)0.50.00336 (11)
Atomic displacement parameters (Å2) top
U11U22U33U12U13U23
Yb10.00107 (4)0.00107 (4)0.00107 (4)000
B10.00349 (15)0.00349 (15)0.0031 (2)0.0008 (2)00
Geometric parameters (Å, º) top
Yb1—B1i2.7715 (8)Yb1—B1xvii2.7715 (8)
Yb1—B1ii2.7715 (8)Yb1—B1xviii2.7715 (8)
Yb1—B1iii2.7715 (8)Yb1—B1xix2.7715 (8)
Yb1—B1iv2.7715 (8)Yb1—B1xx2.7715 (8)
Yb1—B1v2.7715 (8)Yb1—B1xxi2.7715 (8)
Yb1—B1vi2.7715 (8)Yb1—B1xxii2.7715 (8)
Yb1—B1vii2.7715 (8)Yb1—B1xxiii2.7715 (8)
Yb1—B1viii2.7715 (8)Yb1—B1xxiv2.7715 (8)
Yb1—B1ix2.7715 (8)B1—B1xxv1.7032 (12)
Yb1—B1x2.7715 (8)B1—B1xxvi2.5255 (12)
Yb1—B1xi2.7715 (8)B1—B1xxvii2.5255 (12)
Yb1—B1xii2.7715 (8)B1—B1xxviii1.7858 (8)
Yb1—B1xiii2.7715 (8)B1—B1xv1.7858 (8)
Yb1—B1xiv2.7715 (8)B1—B1xxix1.7858 (8)
Yb1—B1xv2.7715 (8)B1—B1xxi1.7858 (8)
Yb1—B1xvi2.7715 (8)
B1i—Yb1—B1ii144.21 (2)B1ix—Yb1—B1x144.21 (2)
B1i—Yb1—B1iii180.0 (5)B1ix—Yb1—B1xi180.0 (5)
B1i—Yb1—B1iv35.79 (2)B1ix—Yb1—B1xii35.79 (2)
B1i—Yb1—B1v54.21 (2)B1ix—Yb1—B1xiii54.21 (2)
B1i—Yb1—B1vi90.00 (2)B1ix—Yb1—B1xiv90.00 (2)
B1i—Yb1—B1vii125.79 (2)B1ix—Yb1—B1xv125.79 (2)
B1i—Yb1—B1viii90.00 (2)B1ix—Yb1—B1xvi90.00 (2)
B1i—Yb1—B1ix113.928 (15)B1ix—Yb1—B1xvii37.589 (16)
B1i—Yb1—B1x37.589 (16)B1ix—Yb1—B1xviii113.928 (15)
B1i—Yb1—B1xi66.072 (15)B1ix—Yb1—B1xix142.411 (16)
B1i—Yb1—B1xii142.411 (16)B1ix—Yb1—B1xx66.072 (15)
B1i—Yb1—B1xiii66.072 (15)B1ix—Yb1—B1xxi142.411 (16)
B1i—Yb1—B1xiv142.411 (16)B1ix—Yb1—B1xxii66.072 (15)
B1i—Yb1—B1xv113.928 (15)B1ix—Yb1—B1xxiii37.589 (16)
B1i—Yb1—B1xvi37.589 (16)B1ix—Yb1—B1xxiv113.928 (15)
B1i—Yb1—B1xvii78.019 (10)B1x—Yb1—B1xi35.79 (2)
B1i—Yb1—B1xviii113.928 (15)B1x—Yb1—B1xii180.0 (5)
B1i—Yb1—B1xix101.981 (10)B1x—Yb1—B1xiii90.00 (2)
B1i—Yb1—B1xx66.072 (15)B1x—Yb1—B1xiv125.79 (2)
B1i—Yb1—B1xxi78.019 (10)B1x—Yb1—B1xv90.00 (2)
B1i—Yb1—B1xxii113.928 (15)B1x—Yb1—B1xvi54.21 (2)
B1i—Yb1—B1xxiii101.981 (10)B1x—Yb1—B1xvii113.928 (15)
B1i—Yb1—B1xxiv66.072 (15)B1x—Yb1—B1xviii78.019 (10)
B1ii—Yb1—B1iii35.79 (2)B1x—Yb1—B1xix66.072 (15)
B1ii—Yb1—B1iv180.0 (5)B1x—Yb1—B1xx101.981 (10)
B1ii—Yb1—B1v90.00 (2)B1x—Yb1—B1xxi66.072 (15)
B1ii—Yb1—B1vi125.79 (2)B1x—Yb1—B1xxii101.981 (10)
B1ii—Yb1—B1vii90.00 (2)B1x—Yb1—B1xxiii113.928 (15)
B1ii—Yb1—B1viii54.21 (2)B1x—Yb1—B1xxiv78.019 (10)
B1ii—Yb1—B1ix78.019 (10)B1xi—Yb1—B1xii144.21 (2)
B1ii—Yb1—B1x113.928 (15)B1xi—Yb1—B1xiii125.79 (2)
B1ii—Yb1—B1xi101.981 (10)B1xi—Yb1—B1xiv90.00 (2)
B1ii—Yb1—B1xii66.072 (15)B1xi—Yb1—B1xv54.21 (2)
B1ii—Yb1—B1xiii101.981 (10)B1xi—Yb1—B1xvi90.00 (2)
B1ii—Yb1—B1xiv66.072 (15)B1xi—Yb1—B1xvii142.411 (16)
B1ii—Yb1—B1xv78.019 (10)B1xi—Yb1—B1xviii66.072 (15)
B1ii—Yb1—B1xvi113.928 (15)B1xi—Yb1—B1xix37.589 (16)
B1ii—Yb1—B1xvii113.928 (15)B1xi—Yb1—B1xx113.928 (15)
B1ii—Yb1—B1xviii37.589 (16)B1xi—Yb1—B1xxi37.589 (16)
B1ii—Yb1—B1xix66.072 (15)B1xi—Yb1—B1xxii113.928 (15)
B1ii—Yb1—B1xx142.411 (16)B1xi—Yb1—B1xxiii142.411 (16)
B1ii—Yb1—B1xxi113.928 (15)B1xi—Yb1—B1xxiv66.072 (15)
B1ii—Yb1—B1xxii37.589 (16)B1xii—Yb1—B1xiii90.00 (2)
B1ii—Yb1—B1xxiii66.072 (15)B1xii—Yb1—B1xiv54.21 (2)
B1ii—Yb1—B1xxiv142.411 (16)B1xii—Yb1—B1xv90.00 (2)
B1iii—Yb1—B1iv144.21 (2)B1xii—Yb1—B1xvi125.79 (2)
B1iii—Yb1—B1v125.79 (2)B1xii—Yb1—B1xvii66.072 (15)
B1iii—Yb1—B1vi90.00 (2)B1xii—Yb1—B1xviii101.981 (10)
B1iii—Yb1—B1vii54.21 (2)B1xii—Yb1—B1xix113.928 (15)
B1iii—Yb1—B1viii90.00 (2)B1xii—Yb1—B1xx78.019 (10)
B1iii—Yb1—B1ix66.072 (15)B1xii—Yb1—B1xxi113.928 (15)
B1iii—Yb1—B1x142.411 (16)B1xii—Yb1—B1xxii78.019 (10)
B1iii—Yb1—B1xi113.928 (15)B1xii—Yb1—B1xxiii66.072 (15)
B1iii—Yb1—B1xii37.589 (16)B1xii—Yb1—B1xxiv101.981 (10)
B1iii—Yb1—B1xiii113.928 (15)B1xiii—Yb1—B1xiv144.21 (2)
B1iii—Yb1—B1xiv37.589 (16)B1xiii—Yb1—B1xv180.0 (5)
B1iii—Yb1—B1xv66.072 (15)B1xiii—Yb1—B1xvi35.79 (2)
B1iii—Yb1—B1xvi142.411 (16)B1xiii—Yb1—B1xvii37.589 (16)
B1iii—Yb1—B1xvii101.981 (10)B1xiii—Yb1—B1xviii113.928 (15)
B1iii—Yb1—B1xviii66.072 (15)B1xiii—Yb1—B1xix142.411 (16)
B1iii—Yb1—B1xix78.019 (10)B1xiii—Yb1—B1xx66.072 (15)
B1iii—Yb1—B1xx113.928 (15)B1xiii—Yb1—B1xxi142.411 (16)
B1iii—Yb1—B1xxi101.981 (10)B1xiii—Yb1—B1xxii66.072 (15)
B1iii—Yb1—B1xxii66.072 (15)B1xiii—Yb1—B1xxiii37.589 (16)
B1iii—Yb1—B1xxiii78.019 (10)B1xiii—Yb1—B1xxiv113.928 (15)
B1iii—Yb1—B1xxiv113.928 (15)B1xiv—Yb1—B1xv35.79 (2)
B1iv—Yb1—B1v90.00 (2)B1xiv—Yb1—B1xvi180.0 (5)
B1iv—Yb1—B1vi54.21 (2)B1xiv—Yb1—B1xvii113.928 (15)
B1iv—Yb1—B1vii90.00 (2)B1xiv—Yb1—B1xviii78.019 (10)
B1iv—Yb1—B1viii125.79 (2)B1xiv—Yb1—B1xix66.072 (15)
B1iv—Yb1—B1ix101.981 (10)B1xiv—Yb1—B1xx101.981 (10)
B1iv—Yb1—B1x66.072 (15)B1xiv—Yb1—B1xxi66.072 (15)
B1iv—Yb1—B1xi78.019 (10)B1xiv—Yb1—B1xxii101.981 (10)
B1iv—Yb1—B1xii113.928 (15)B1xiv—Yb1—B1xxiii113.928 (15)
B1iv—Yb1—B1xiii78.019 (10)B1xiv—Yb1—B1xxiv78.019 (10)
B1iv—Yb1—B1xiv113.928 (15)B1xv—Yb1—B1xvi144.21 (2)
B1iv—Yb1—B1xv101.981 (10)B1xv—Yb1—B1xvii142.411 (16)
B1iv—Yb1—B1xvi66.072 (15)B1xv—Yb1—B1xviii66.072 (15)
B1iv—Yb1—B1xvii66.072 (15)B1xv—Yb1—B1xix37.589 (16)
B1iv—Yb1—B1xviii142.411 (16)B1xv—Yb1—B1xx113.928 (15)
B1iv—Yb1—B1xix113.928 (15)B1xv—Yb1—B1xxi37.589 (16)
B1iv—Yb1—B1xx37.589 (16)B1xv—Yb1—B1xxii113.928 (15)
B1iv—Yb1—B1xxi66.072 (15)B1xv—Yb1—B1xxiii142.411 (16)
B1iv—Yb1—B1xxii142.411 (16)B1xv—Yb1—B1xxiv66.072 (15)
B1iv—Yb1—B1xxiii113.928 (15)B1xvi—Yb1—B1xvii66.072 (15)
B1iv—Yb1—B1xxiv37.589 (16)B1xvi—Yb1—B1xviii101.981 (10)
B1v—Yb1—B1vi144.21 (2)B1xvi—Yb1—B1xix113.928 (15)
B1v—Yb1—B1vii180.0 (5)B1xvi—Yb1—B1xx78.019 (10)
B1v—Yb1—B1viii35.79 (2)B1xvi—Yb1—B1xxi113.928 (15)
B1v—Yb1—B1ix113.928 (15)B1xvi—Yb1—B1xxii78.019 (10)
B1v—Yb1—B1x37.589 (16)B1xvi—Yb1—B1xxiii66.072 (15)
B1v—Yb1—B1xi66.072 (15)B1xvi—Yb1—B1xxiv101.981 (10)
B1v—Yb1—B1xii142.411 (16)B1xvii—Yb1—B1xviii144.21 (2)
B1v—Yb1—B1xiii66.072 (15)B1xvii—Yb1—B1xix180.0 (5)
B1v—Yb1—B1xiv142.411 (16)B1xvii—Yb1—B1xx35.79 (2)
B1v—Yb1—B1xv113.928 (15)B1xvii—Yb1—B1xxi125.79 (2)
B1v—Yb1—B1xvi37.589 (16)B1xvii—Yb1—B1xxii90.00 (2)
B1v—Yb1—B1xvii101.981 (10)B1xvii—Yb1—B1xxiii54.21 (2)
B1v—Yb1—B1xviii66.072 (15)B1xvii—Yb1—B1xxiv90.00 (2)
B1v—Yb1—B1xix78.019 (10)B1xviii—Yb1—B1xix35.79 (2)
B1v—Yb1—B1xx113.928 (15)B1xviii—Yb1—B1xx180.0 (5)
B1v—Yb1—B1xxi101.981 (10)B1xviii—Yb1—B1xxi90.00 (2)
B1v—Yb1—B1xxii66.072 (15)B1xviii—Yb1—B1xxii54.21 (2)
B1v—Yb1—B1xxiii78.019 (10)B1xviii—Yb1—B1xxiii90.00 (2)
B1v—Yb1—B1xxiv113.928 (15)B1xviii—Yb1—B1xxiv125.79 (2)
B1vi—Yb1—B1vii35.79 (2)B1xix—Yb1—B1xx144.21 (2)
B1vi—Yb1—B1viii180.0 (5)B1xix—Yb1—B1xxi54.21 (2)
B1vi—Yb1—B1ix78.019 (10)B1xix—Yb1—B1xxii90.00 (2)
B1vi—Yb1—B1x113.928 (15)B1xix—Yb1—B1xxiii125.79 (2)
B1vi—Yb1—B1xi101.981 (10)B1xix—Yb1—B1xxiv90.00 (2)
B1vi—Yb1—B1xii66.072 (15)B1xx—Yb1—B1xxi90.00 (2)
B1vi—Yb1—B1xiii101.981 (10)B1xx—Yb1—B1xxii125.79 (2)
B1vi—Yb1—B1xiv66.072 (15)B1xx—Yb1—B1xxiii90.00 (2)
B1vi—Yb1—B1xv78.019 (10)B1xx—Yb1—B1xxiv54.21 (2)
B1vi—Yb1—B1xvi113.928 (15)B1xxi—Yb1—B1xxii144.21 (2)
B1vi—Yb1—B1xvii66.072 (15)B1xxi—Yb1—B1xxiii180.0 (5)
B1vi—Yb1—B1xviii142.411 (16)B1xxi—Yb1—B1xxiv35.79 (2)
B1vi—Yb1—B1xix113.928 (15)B1xxii—Yb1—B1xxiii35.79 (2)
B1vi—Yb1—B1xx37.589 (16)B1xxii—Yb1—B1xxiv180.0 (5)
B1vi—Yb1—B1xxi66.072 (15)B1xxiii—Yb1—B1xxiv144.21 (2)
B1vi—Yb1—B1xxii142.411 (16)Yb1xxx—B1—Yb1xxxi144.21 (3)
B1vi—Yb1—B1xxiii113.928 (15)Yb1xxx—B1—B1xxv72.10 (4)
B1vi—Yb1—B1xxiv37.589 (16)Yb1xxx—B1—B1xxvi62.90 (3)
B1vii—Yb1—B1viii144.21 (2)Yb1xxx—B1—B1xxvii152.90 (4)
B1vii—Yb1—B1ix66.072 (15)Yb1xxx—B1—B1xxviii71.21 (4)
B1vii—Yb1—B1x142.411 (16)Yb1xxx—B1—B1xv71.21 (4)
B1vii—Yb1—B1xi113.928 (15)Yb1xxx—B1—B1xxix129.01 (3)
B1vii—Yb1—B1xii37.589 (16)Yb1xxx—B1—B1xxi129.01 (3)
B1vii—Yb1—B1xiii113.928 (15)Yb1xxxi—B1—B1xxv72.10 (4)
B1vii—Yb1—B1xiv37.589 (16)Yb1xxxi—B1—B1xxvi152.90 (4)
B1vii—Yb1—B1xv66.072 (15)Yb1xxxi—B1—B1xxvii62.90 (3)
B1vii—Yb1—B1xvi142.411 (16)Yb1xxxi—B1—B1xxviii129.01 (3)
B1vii—Yb1—B1xvii78.019 (10)Yb1xxxi—B1—B1xv129.01 (3)
B1vii—Yb1—B1xviii113.928 (15)Yb1xxxi—B1—B1xxix71.21 (4)
B1vii—Yb1—B1xix101.981 (10)Yb1xxxi—B1—B1xxi71.21 (4)
B1vii—Yb1—B1xx66.072 (15)B1xxv—B1—B1xxvi135.00 (5)
B1vii—Yb1—B1xxi78.019 (10)B1xxv—B1—B1xxvii135.00 (5)
B1vii—Yb1—B1xxii113.928 (15)B1xxv—B1—B1xxviii120.00 (4)
B1vii—Yb1—B1xxiii101.981 (10)B1xxv—B1—B1xv120.00 (4)
B1vii—Yb1—B1xxiv66.072 (15)B1xxv—B1—B1xxix120.00 (4)
B1viii—Yb1—B1ix101.981 (10)B1xxv—B1—B1xxi120.00 (4)
B1viii—Yb1—B1x66.072 (15)B1xxvi—B1—B1xxvii90.00 (4)
B1viii—Yb1—B1xi78.019 (10)B1xxvi—B1—B1xxviii45.00 (3)
B1viii—Yb1—B1xii113.928 (15)B1xxvi—B1—B1xv45.00 (3)
B1viii—Yb1—B1xiii78.019 (10)B1xxvi—B1—B1xxix90.00 (4)
B1viii—Yb1—B1xiv113.928 (15)B1xxvi—B1—B1xxi90.00 (4)
B1viii—Yb1—B1xv101.981 (10)B1xxvii—B1—B1xxviii90.00 (4)
B1viii—Yb1—B1xvi66.072 (15)B1xxvii—B1—B1xv90.00 (4)
B1viii—Yb1—B1xvii113.928 (15)B1xxvii—B1—B1xxix45.00 (3)
B1viii—Yb1—B1xviii37.589 (16)B1xxvii—B1—B1xxi45.00 (3)
B1viii—Yb1—B1xix66.072 (15)B1xxviii—B1—B1xv90.00 (5)
B1viii—Yb1—B1xx142.411 (16)B1xxviii—B1—B1xxix60.00 (4)
B1viii—Yb1—B1xxi113.928 (15)B1xxviii—B1—B1xxi120.00 (6)
B1viii—Yb1—B1xxii37.589 (16)B1xv—B1—B1xxix120.00 (6)
B1viii—Yb1—B1xxiii66.072 (15)B1xv—B1—B1xxi60.00 (4)
B1viii—Yb1—B1xxiv142.411 (16)B1xxix—B1—B1xxi90.00 (5)
Symmetry codes: (i) x, y1/2, z1/2; (ii) x1/2, y, z1/2; (iii) x, y+1/2, z1/2; (iv) x+1/2, y, z1/2; (v) x, y1/2, z+1/2; (vi) x+1/2, y, z+1/2; (vii) x, y+1/2, z+1/2; (viii) x1/2, y, z+1/2; (ix) z1/2, x, y1/2; (x) z1/2, x1/2, y; (xi) z1/2, x, y+1/2; (xii) z1/2, x+1/2, y; (xiii) z+1/2, x, y1/2; (xiv) z+1/2, x+1/2, y; (xv) z+1/2, x, y+1/2; (xvi) z+1/2, x1/2, y; (xvii) y, z1/2, x1/2; (xviii) y1/2, z1/2, x; (xix) y, z1/2, x+1/2; (xx) y+1/2, z1/2, x; (xxi) y, z+1/2, x+1/2; (xxii) y1/2, z+1/2, x; (xxiii) y, z+1/2, x1/2; (xxiv) y+1/2, z+1/2, x; (xxv) x+1/2, y+1/2, z; (xxvi) x, y, z+1; (xxvii) x, y, z+1; (xxviii) z1/2, x, y+1/2; (xxix) y, z1/2, x+1/2; (xxx) x, y+1/2, z+1/2; (xxxi) x+1/2, y, z+1/2.
(100K) top
Crystal data top
B12YbDx = 4.844 Mg m3
Mr = 302.8Mo Kα radiation, λ = 0.71073 Å
Cubic, Fm3mCell parameters from 7418 reflections
Hall symbol: -F 4 2 3θ = 4.7–73.8°
a = 7.4600 (2) ŵ = 22.35 mm1
V = 415.16 (2) Å3T = 100 K
Z = 4Plate, black
F(000) = 5200.39 × 0.29 × 0.11 mm
Data collection top
Xcalibur, EosS2 with high theta cut
diffractometer
267 independent reflections
Radiation source: X-ray tube267 reflections with I > 3σ(I)
Graphite monochromatorRint = 0.038
Detector resolution: 16.1745 pixels mm-1θmax = 74.2°, θmin = 4.7°
ω scansh = 1817
Absorption correction: analytical
CrysAlisPro 1.171.39.46 (Rigaku Oxford Diffraction, 2018) Analytical numeric absorption correction using a multifaceted crystal model based on expressions derived by R.C. Clark & J.S. Reid. (Clark, R. C. & Reid, J. S. (1995). Acta Cryst. A51, 887-897) Empirical absorption correction using spherical harmonics, implemented in SCALE3 ABSPACK scaling algorithm.
k = 1919
Tmin = 0.02, Tmax = 0.221l = 2020
10668 measured reflections
Refinement top
Refinement on F0 constraints
R[F2 > 2σ(F2)] = 0.010Weighting scheme based on measured s.u.'s w = 1/(σ2(F) + 0.000169F2)
wR(F2) = 0.014(Δ/σ)max = 0.007
S = 1.06Δρmax = 1.24 e Å3
267 reflectionsΔρmin = 1.79 e Å3
7 parametersExtinction correction: B-C type 1 Lorentzian isotropic (Becker & Coppens, 1974)
0 restraintsExtinction coefficient: 7300 (200)
Fractional atomic coordinates and isotropic or equivalent isotropic displacement parameters (Å2) top
xyzUiso*/Ueq
Yb10000.00121 (2)
B10.16930 (11)0.16930 (11)0.50.00345 (11)
Atomic displacement parameters (Å2) top
U11U22U33U12U13U23
Yb10.00121 (4)0.00121 (4)0.00121 (4)000
B10.00362 (15)0.00362 (15)0.0031 (2)0.0007 (2)00
Geometric parameters (Å, º) top
Yb1—B1i2.7715 (9)Yb1—B1xvii2.7715 (8)
Yb1—B1ii2.7715 (9)Yb1—B1xviii2.7715 (9)
Yb1—B1iii2.7715 (9)Yb1—B1xix2.7715 (8)
Yb1—B1iv2.7715 (9)Yb1—B1xx2.7715 (9)
Yb1—B1v2.7715 (9)Yb1—B1xxi2.7715 (8)
Yb1—B1vi2.7715 (9)Yb1—B1xxii2.7715 (9)
Yb1—B1vii2.7715 (9)Yb1—B1xxiii2.7715 (8)
Yb1—B1viii2.7715 (9)Yb1—B1xxiv2.7715 (9)
Yb1—B1ix2.7715 (8)B1—B1xxv1.7028 (12)
Yb1—B1x2.7715 (9)B1—B1xxvi2.5259 (12)
Yb1—B1xi2.7715 (8)B1—B1xxvii2.5259 (12)
Yb1—B1xii2.7715 (9)B1—B1xxviii1.7861 (8)
Yb1—B1xiii2.7715 (8)B1—B1xv1.7861 (8)
Yb1—B1xiv2.7715 (9)B1—B1xxix1.7861 (8)
Yb1—B1xv2.7715 (8)B1—B1xxi1.7861 (8)
Yb1—B1xvi2.7715 (9)
B1i—Yb1—B1ii144.22 (2)B1ix—Yb1—B1x144.22 (2)
B1i—Yb1—B1iii180.0 (5)B1ix—Yb1—B1xi180.0 (5)
B1i—Yb1—B1iv35.78 (2)B1ix—Yb1—B1xii35.78 (2)
B1i—Yb1—B1v54.22 (2)B1ix—Yb1—B1xiii54.22 (2)
B1i—Yb1—B1vi90.00 (2)B1ix—Yb1—B1xiv90.00 (2)
B1i—Yb1—B1vii125.78 (2)B1ix—Yb1—B1xv125.78 (2)
B1i—Yb1—B1viii90.00 (2)B1ix—Yb1—B1xvi90.00 (2)
B1i—Yb1—B1ix113.931 (16)B1ix—Yb1—B1xvii37.595 (16)
B1i—Yb1—B1x37.595 (16)B1ix—Yb1—B1xviii113.931 (16)
B1i—Yb1—B1xi66.069 (16)B1ix—Yb1—B1xix142.405 (16)
B1i—Yb1—B1xii142.405 (16)B1ix—Yb1—B1xx66.069 (16)
B1i—Yb1—B1xiii66.069 (16)B1ix—Yb1—B1xxi142.405 (16)
B1i—Yb1—B1xiv142.405 (16)B1ix—Yb1—B1xxii66.069 (16)
B1i—Yb1—B1xv113.931 (16)B1ix—Yb1—B1xxiii37.595 (16)
B1i—Yb1—B1xvi37.595 (16)B1ix—Yb1—B1xxiv113.931 (16)
B1i—Yb1—B1xvii78.015 (10)B1x—Yb1—B1xi35.78 (2)
B1i—Yb1—B1xviii113.931 (16)B1x—Yb1—B1xii180.0 (5)
B1i—Yb1—B1xix101.985 (10)B1x—Yb1—B1xiii90.00 (2)
B1i—Yb1—B1xx66.069 (16)B1x—Yb1—B1xiv125.78 (2)
B1i—Yb1—B1xxi78.015 (10)B1x—Yb1—B1xv90.00 (2)
B1i—Yb1—B1xxii113.931 (16)B1x—Yb1—B1xvi54.22 (2)
B1i—Yb1—B1xxiii101.985 (10)B1x—Yb1—B1xvii113.931 (16)
B1i—Yb1—B1xxiv66.069 (16)B1x—Yb1—B1xviii78.015 (10)
B1ii—Yb1—B1iii35.78 (2)B1x—Yb1—B1xix66.069 (16)
B1ii—Yb1—B1iv180.0 (5)B1x—Yb1—B1xx101.985 (10)
B1ii—Yb1—B1v90.00 (2)B1x—Yb1—B1xxi66.069 (16)
B1ii—Yb1—B1vi125.78 (2)B1x—Yb1—B1xxii101.985 (10)
B1ii—Yb1—B1vii90.00 (2)B1x—Yb1—B1xxiii113.931 (16)
B1ii—Yb1—B1viii54.22 (2)B1x—Yb1—B1xxiv78.015 (10)
B1ii—Yb1—B1ix78.015 (10)B1xi—Yb1—B1xii144.22 (2)
B1ii—Yb1—B1x113.931 (16)B1xi—Yb1—B1xiii125.78 (2)
B1ii—Yb1—B1xi101.985 (10)B1xi—Yb1—B1xiv90.00 (2)
B1ii—Yb1—B1xii66.069 (16)B1xi—Yb1—B1xv54.22 (2)
B1ii—Yb1—B1xiii101.985 (10)B1xi—Yb1—B1xvi90.00 (2)
B1ii—Yb1—B1xiv66.069 (16)B1xi—Yb1—B1xvii142.405 (16)
B1ii—Yb1—B1xv78.015 (10)B1xi—Yb1—B1xviii66.069 (16)
B1ii—Yb1—B1xvi113.931 (16)B1xi—Yb1—B1xix37.595 (16)
B1ii—Yb1—B1xvii113.931 (16)B1xi—Yb1—B1xx113.931 (16)
B1ii—Yb1—B1xviii37.595 (16)B1xi—Yb1—B1xxi37.595 (16)
B1ii—Yb1—B1xix66.069 (16)B1xi—Yb1—B1xxii113.931 (16)
B1ii—Yb1—B1xx142.405 (16)B1xi—Yb1—B1xxiii142.405 (16)
B1ii—Yb1—B1xxi113.931 (16)B1xi—Yb1—B1xxiv66.069 (16)
B1ii—Yb1—B1xxii37.595 (16)B1xii—Yb1—B1xiii90.00 (2)
B1ii—Yb1—B1xxiii66.069 (16)B1xii—Yb1—B1xiv54.22 (2)
B1ii—Yb1—B1xxiv142.405 (16)B1xii—Yb1—B1xv90.00 (2)
B1iii—Yb1—B1iv144.22 (2)B1xii—Yb1—B1xvi125.78 (2)
B1iii—Yb1—B1v125.78 (2)B1xii—Yb1—B1xvii66.069 (16)
B1iii—Yb1—B1vi90.00 (2)B1xii—Yb1—B1xviii101.985 (10)
B1iii—Yb1—B1vii54.22 (2)B1xii—Yb1—B1xix113.931 (16)
B1iii—Yb1—B1viii90.00 (2)B1xii—Yb1—B1xx78.015 (10)
B1iii—Yb1—B1ix66.069 (16)B1xii—Yb1—B1xxi113.931 (16)
B1iii—Yb1—B1x142.405 (16)B1xii—Yb1—B1xxii78.015 (10)
B1iii—Yb1—B1xi113.931 (16)B1xii—Yb1—B1xxiii66.069 (16)
B1iii—Yb1—B1xii37.595 (16)B1xii—Yb1—B1xxiv101.985 (10)
B1iii—Yb1—B1xiii113.931 (16)B1xiii—Yb1—B1xiv144.22 (2)
B1iii—Yb1—B1xiv37.595 (16)B1xiii—Yb1—B1xv180.0 (5)
B1iii—Yb1—B1xv66.069 (16)B1xiii—Yb1—B1xvi35.78 (2)
B1iii—Yb1—B1xvi142.405 (16)B1xiii—Yb1—B1xvii37.595 (16)
B1iii—Yb1—B1xvii101.985 (10)B1xiii—Yb1—B1xviii113.931 (16)
B1iii—Yb1—B1xviii66.069 (16)B1xiii—Yb1—B1xix142.405 (16)
B1iii—Yb1—B1xix78.015 (10)B1xiii—Yb1—B1xx66.069 (16)
B1iii—Yb1—B1xx113.931 (16)B1xiii—Yb1—B1xxi142.405 (16)
B1iii—Yb1—B1xxi101.985 (10)B1xiii—Yb1—B1xxii66.069 (16)
B1iii—Yb1—B1xxii66.069 (16)B1xiii—Yb1—B1xxiii37.595 (16)
B1iii—Yb1—B1xxiii78.015 (10)B1xiii—Yb1—B1xxiv113.931 (16)
B1iii—Yb1—B1xxiv113.931 (16)B1xiv—Yb1—B1xv35.78 (2)
B1iv—Yb1—B1v90.00 (2)B1xiv—Yb1—B1xvi180.0 (5)
B1iv—Yb1—B1vi54.22 (2)B1xiv—Yb1—B1xvii113.931 (16)
B1iv—Yb1—B1vii90.00 (2)B1xiv—Yb1—B1xviii78.015 (10)
B1iv—Yb1—B1viii125.78 (2)B1xiv—Yb1—B1xix66.069 (16)
B1iv—Yb1—B1ix101.985 (10)B1xiv—Yb1—B1xx101.985 (10)
B1iv—Yb1—B1x66.069 (16)B1xiv—Yb1—B1xxi66.069 (16)
B1iv—Yb1—B1xi78.015 (10)B1xiv—Yb1—B1xxii101.985 (10)
B1iv—Yb1—B1xii113.931 (16)B1xiv—Yb1—B1xxiii113.931 (16)
B1iv—Yb1—B1xiii78.015 (10)B1xiv—Yb1—B1xxiv78.015 (10)
B1iv—Yb1—B1xiv113.931 (16)B1xv—Yb1—B1xvi144.22 (2)
B1iv—Yb1—B1xv101.985 (10)B1xv—Yb1—B1xvii142.405 (16)
B1iv—Yb1—B1xvi66.069 (16)B1xv—Yb1—B1xviii66.069 (16)
B1iv—Yb1—B1xvii66.069 (16)B1xv—Yb1—B1xix37.595 (16)
B1iv—Yb1—B1xviii142.405 (16)B1xv—Yb1—B1xx113.931 (16)
B1iv—Yb1—B1xix113.931 (16)B1xv—Yb1—B1xxi37.595 (16)
B1iv—Yb1—B1xx37.595 (16)B1xv—Yb1—B1xxii113.931 (16)
B1iv—Yb1—B1xxi66.069 (16)B1xv—Yb1—B1xxiii142.405 (16)
B1iv—Yb1—B1xxii142.405 (16)B1xv—Yb1—B1xxiv66.069 (16)
B1iv—Yb1—B1xxiii113.931 (16)B1xvi—Yb1—B1xvii66.069 (16)
B1iv—Yb1—B1xxiv37.595 (16)B1xvi—Yb1—B1xviii101.985 (10)
B1v—Yb1—B1vi144.22 (2)B1xvi—Yb1—B1xix113.931 (16)
B1v—Yb1—B1vii180.0 (5)B1xvi—Yb1—B1xx78.015 (10)
B1v—Yb1—B1viii35.78 (2)B1xvi—Yb1—B1xxi113.931 (16)
B1v—Yb1—B1ix113.931 (16)B1xvi—Yb1—B1xxii78.015 (10)
B1v—Yb1—B1x37.595 (16)B1xvi—Yb1—B1xxiii66.069 (16)
B1v—Yb1—B1xi66.069 (16)B1xvi—Yb1—B1xxiv101.985 (10)
B1v—Yb1—B1xii142.405 (16)B1xvii—Yb1—B1xviii144.22 (2)
B1v—Yb1—B1xiii66.069 (16)B1xvii—Yb1—B1xix180.0 (5)
B1v—Yb1—B1xiv142.405 (16)B1xvii—Yb1—B1xx35.78 (2)
B1v—Yb1—B1xv113.931 (16)B1xvii—Yb1—B1xxi125.78 (2)
B1v—Yb1—B1xvi37.595 (16)B1xvii—Yb1—B1xxii90.00 (2)
B1v—Yb1—B1xvii101.985 (10)B1xvii—Yb1—B1xxiii54.22 (2)
B1v—Yb1—B1xviii66.069 (16)B1xvii—Yb1—B1xxiv90.00 (2)
B1v—Yb1—B1xix78.015 (10)B1xviii—Yb1—B1xix35.78 (2)
B1v—Yb1—B1xx113.931 (16)B1xviii—Yb1—B1xx180.0 (5)
B1v—Yb1—B1xxi101.985 (10)B1xviii—Yb1—B1xxi90.00 (2)
B1v—Yb1—B1xxii66.069 (16)B1xviii—Yb1—B1xxii54.22 (2)
B1v—Yb1—B1xxiii78.015 (10)B1xviii—Yb1—B1xxiii90.00 (2)
B1v—Yb1—B1xxiv113.931 (16)B1xviii—Yb1—B1xxiv125.78 (2)
B1vi—Yb1—B1vii35.78 (2)B1xix—Yb1—B1xx144.22 (2)
B1vi—Yb1—B1viii180.0 (5)B1xix—Yb1—B1xxi54.22 (2)
B1vi—Yb1—B1ix78.015 (10)B1xix—Yb1—B1xxii90.00 (2)
B1vi—Yb1—B1x113.931 (16)B1xix—Yb1—B1xxiii125.78 (2)
B1vi—Yb1—B1xi101.985 (10)B1xix—Yb1—B1xxiv90.00 (2)
B1vi—Yb1—B1xii66.069 (16)B1xx—Yb1—B1xxi90.00 (2)
B1vi—Yb1—B1xiii101.985 (10)B1xx—Yb1—B1xxii125.78 (2)
B1vi—Yb1—B1xiv66.069 (16)B1xx—Yb1—B1xxiii90.00 (2)
B1vi—Yb1—B1xv78.015 (10)B1xx—Yb1—B1xxiv54.22 (2)
B1vi—Yb1—B1xvi113.931 (16)B1xxi—Yb1—B1xxii144.22 (2)
B1vi—Yb1—B1xvii66.069 (16)B1xxi—Yb1—B1xxiii180.0 (5)
B1vi—Yb1—B1xviii142.405 (16)B1xxi—Yb1—B1xxiv35.78 (2)
B1vi—Yb1—B1xix113.931 (16)B1xxii—Yb1—B1xxiii35.78 (2)
B1vi—Yb1—B1xx37.595 (16)B1xxii—Yb1—B1xxiv180.0 (5)
B1vi—Yb1—B1xxi66.069 (16)B1xxiii—Yb1—B1xxiv144.22 (2)
B1vi—Yb1—B1xxii142.405 (16)Yb1xxx—B1—Yb1xxxi144.22 (3)
B1vi—Yb1—B1xxiii113.931 (16)Yb1xxx—B1—B1xxv72.11 (4)
B1vi—Yb1—B1xxiv37.595 (16)Yb1xxx—B1—B1xxvi62.89 (3)
B1vii—Yb1—B1viii144.22 (2)Yb1xxx—B1—B1xxvii152.89 (4)
B1vii—Yb1—B1ix66.069 (16)Yb1xxx—B1—B1xxviii71.20 (4)
B1vii—Yb1—B1x142.405 (16)Yb1xxx—B1—B1xv71.20 (4)
B1vii—Yb1—B1xi113.931 (16)Yb1xxx—B1—B1xxix129.01 (3)
B1vii—Yb1—B1xii37.595 (16)Yb1xxx—B1—B1xxi129.01 (3)
B1vii—Yb1—B1xiii113.931 (16)Yb1xxxi—B1—B1xxv72.11 (4)
B1vii—Yb1—B1xiv37.595 (16)Yb1xxxi—B1—B1xxvi152.89 (4)
B1vii—Yb1—B1xv66.069 (16)Yb1xxxi—B1—B1xxvii62.89 (3)
B1vii—Yb1—B1xvi142.405 (16)Yb1xxxi—B1—B1xxviii129.01 (3)
B1vii—Yb1—B1xvii78.015 (10)Yb1xxxi—B1—B1xv129.01 (3)
B1vii—Yb1—B1xviii113.931 (16)Yb1xxxi—B1—B1xxix71.20 (4)
B1vii—Yb1—B1xix101.985 (10)Yb1xxxi—B1—B1xxi71.20 (4)
B1vii—Yb1—B1xx66.069 (16)B1xxv—B1—B1xxvi135.00 (6)
B1vii—Yb1—B1xxi78.015 (10)B1xxv—B1—B1xxvii135.00 (6)
B1vii—Yb1—B1xxii113.931 (16)B1xxv—B1—B1xxviii120.00 (4)
B1vii—Yb1—B1xxiii101.985 (10)B1xxv—B1—B1xv120.00 (4)
B1vii—Yb1—B1xxiv66.069 (16)B1xxv—B1—B1xxix120.00 (4)
B1viii—Yb1—B1ix101.985 (10)B1xxv—B1—B1xxi120.00 (4)
B1viii—Yb1—B1x66.069 (16)B1xxvi—B1—B1xxvii90.00 (4)
B1viii—Yb1—B1xi78.015 (10)B1xxvi—B1—B1xxviii45.00 (3)
B1viii—Yb1—B1xii113.931 (16)B1xxvi—B1—B1xv45.00 (3)
B1viii—Yb1—B1xiii78.015 (10)B1xxvi—B1—B1xxix90.00 (4)
B1viii—Yb1—B1xiv113.931 (16)B1xxvi—B1—B1xxi90.00 (4)
B1viii—Yb1—B1xv101.985 (10)B1xxvii—B1—B1xxviii90.00 (4)
B1viii—Yb1—B1xvi66.069 (16)B1xxvii—B1—B1xv90.00 (4)
B1viii—Yb1—B1xvii113.931 (16)B1xxvii—B1—B1xxix45.00 (3)
B1viii—Yb1—B1xviii37.595 (16)B1xxvii—B1—B1xxi45.00 (3)
B1viii—Yb1—B1xix66.069 (16)B1xxviii—B1—B1xv90.00 (5)
B1viii—Yb1—B1xx142.405 (16)B1xxviii—B1—B1xxix60.00 (4)
B1viii—Yb1—B1xxi113.931 (16)B1xxviii—B1—B1xxi120.00 (6)
B1viii—Yb1—B1xxii37.595 (16)B1xv—B1—B1xxix120.00 (6)
B1viii—Yb1—B1xxiii66.069 (16)B1xv—B1—B1xxi60.00 (4)
B1viii—Yb1—B1xxiv142.405 (16)B1xxix—B1—B1xxi90.00 (5)
Symmetry codes: (i) x, y1/2, z1/2; (ii) x1/2, y, z1/2; (iii) x, y+1/2, z1/2; (iv) x+1/2, y, z1/2; (v) x, y1/2, z+1/2; (vi) x+1/2, y, z+1/2; (vii) x, y+1/2, z+1/2; (viii) x1/2, y, z+1/2; (ix) z1/2, x, y1/2; (x) z1/2, x1/2, y; (xi) z1/2, x, y+1/2; (xii) z1/2, x+1/2, y; (xiii) z+1/2, x, y1/2; (xiv) z+1/2, x+1/2, y; (xv) z+1/2, x, y+1/2; (xvi) z+1/2, x1/2, y; (xvii) y, z1/2, x1/2; (xviii) y1/2, z1/2, x; (xix) y, z1/2, x+1/2; (xx) y+1/2, z1/2, x; (xxi) y, z+1/2, x+1/2; (xxii) y1/2, z+1/2, x; (xxiii) y, z+1/2, x1/2; (xxiv) y+1/2, z+1/2, x; (xxv) x+1/2, y+1/2, z; (xxvi) x, y, z+1; (xxvii) x, y, z+1; (xxviii) z1/2, x, y+1/2; (xxix) y, z1/2, x+1/2; (xxx) x, y+1/2, z+1/2; (xxxi) x+1/2, y, z+1/2.
(110K) top
Crystal data top
B12YbDx = 4.844 Mg m3
Mr = 302.8Mo Kα radiation, λ = 0.71073 Å
Cubic, Fm3mCell parameters from 7448 reflections
Hall symbol: -F 4 2 3θ = 4.7–73.8°
a = 7.4602 (2) ŵ = 22.35 mm1
V = 415.19 (2) Å3T = 110 K
Z = 4Plate, black
F(000) = 5200.39 × 0.29 × 0.11 mm
Data collection top
Xcalibur, EosS2 with high theta cut
diffractometer
267 independent reflections
Radiation source: X-ray tube267 reflections with I > 3σ(I)
Graphite monochromatorRint = 0.042
Detector resolution: 16.1745 pixels mm-1θmax = 74.2°, θmin = 4.7°
ω scansh = 1817
Absorption correction: analytical
CrysAlisPro 1.171.39.46 (Rigaku Oxford Diffraction, 2018) Analytical numeric absorption correction using a multifaceted crystal model based on expressions derived by R.C. Clark & J.S. Reid. (Clark, R. C. & Reid, J. S. (1995). Acta Cryst. A51, 887-897) Empirical absorption correction using spherical harmonics, implemented in SCALE3 ABSPACK scaling algorithm.
k = 2019
Tmin = 0.019, Tmax = 0.221l = 2020
10726 measured reflections
Refinement top
Refinement on F0 constraints
R[F2 > 2σ(F2)] = 0.011Weighting scheme based on measured s.u.'s w = 1/(σ2(F) + 0.000256F2)
wR(F2) = 0.016(Δ/σ)max = 0.025
S = 1.00Δρmax = 1.47 e Å3
267 reflectionsΔρmin = 1.21 e Å3
7 parametersExtinction correction: B-C type 1 Lorentzian isotropic (Becker & Coppens, 1974)
0 restraintsExtinction coefficient: 7700 (300)
Fractional atomic coordinates and isotropic or equivalent isotropic displacement parameters (Å2) top
xyzUiso*/Ueq
Yb10000.00134 (2)
B10.16931 (13)0.16931 (13)0.50.00350 (12)
Atomic displacement parameters (Å2) top
U11U22U33U12U13U23
Yb10.00134 (4)0.00134 (4)0.00134 (4)000
B10.00372 (18)0.00372 (18)0.0031 (3)0.0008 (2)00
Geometric parameters (Å, º) top
Yb1—B1i2.7716 (10)Yb1—B1xvii2.7716 (10)
Yb1—B1ii2.7716 (10)Yb1—B1xviii2.7716 (10)
Yb1—B1iii2.7716 (10)Yb1—B1xix2.7716 (10)
Yb1—B1iv2.7716 (10)Yb1—B1xx2.7716 (10)
Yb1—B1v2.7716 (10)Yb1—B1xxi2.7716 (10)
Yb1—B1vi2.7716 (10)Yb1—B1xxii2.7716 (10)
Yb1—B1vii2.7716 (10)Yb1—B1xxiii2.7716 (10)
Yb1—B1viii2.7716 (10)Yb1—B1xxiv2.7716 (10)
Yb1—B1ix2.7716 (10)B1—B1xxv1.7026 (14)
Yb1—B1x2.7716 (10)B1—B1xxvi2.5262 (14)
Yb1—B1xi2.7716 (10)B1—B1xxvii2.5262 (14)
Yb1—B1xii2.7716 (10)B1—B1xxviii1.7863 (10)
Yb1—B1xiii2.7716 (10)B1—B1xv1.7863 (10)
Yb1—B1xiv2.7716 (10)B1—B1xxix1.7863 (10)
Yb1—B1xv2.7716 (10)B1—B1xxi1.7863 (10)
Yb1—B1xvi2.7716 (10)
B1i—Yb1—B1ii144.22 (3)B1ix—Yb1—B1x144.22 (3)
B1i—Yb1—B1iii180.0 (5)B1ix—Yb1—B1xi180.0 (5)
B1i—Yb1—B1iv35.78 (3)B1ix—Yb1—B1xii35.78 (3)
B1i—Yb1—B1v54.22 (3)B1ix—Yb1—B1xiii54.22 (3)
B1i—Yb1—B1vi90.00 (3)B1ix—Yb1—B1xiv90.00 (3)
B1i—Yb1—B1vii125.78 (3)B1ix—Yb1—B1xv125.78 (3)
B1i—Yb1—B1viii90.00 (3)B1ix—Yb1—B1xvi90.00 (3)
B1i—Yb1—B1ix113.932 (18)B1ix—Yb1—B1xvii37.598 (19)
B1i—Yb1—B1x37.598 (19)B1ix—Yb1—B1xviii113.932 (18)
B1i—Yb1—B1xi66.068 (18)B1ix—Yb1—B1xix142.402 (19)
B1i—Yb1—B1xii142.402 (19)B1ix—Yb1—B1xx66.068 (18)
B1i—Yb1—B1xiii66.068 (18)B1ix—Yb1—B1xxi142.402 (19)
B1i—Yb1—B1xiv142.402 (19)B1ix—Yb1—B1xxii66.068 (18)
B1i—Yb1—B1xv113.932 (18)B1ix—Yb1—B1xxiii37.598 (19)
B1i—Yb1—B1xvi37.598 (19)B1ix—Yb1—B1xxiv113.932 (18)
B1i—Yb1—B1xvii78.013 (12)B1x—Yb1—B1xi35.78 (3)
B1i—Yb1—B1xviii113.932 (18)B1x—Yb1—B1xii180.0 (5)
B1i—Yb1—B1xix101.987 (12)B1x—Yb1—B1xiii90.00 (3)
B1i—Yb1—B1xx66.068 (18)B1x—Yb1—B1xiv125.78 (3)
B1i—Yb1—B1xxi78.013 (12)B1x—Yb1—B1xv90.00 (3)
B1i—Yb1—B1xxii113.932 (18)B1x—Yb1—B1xvi54.22 (3)
B1i—Yb1—B1xxiii101.987 (12)B1x—Yb1—B1xvii113.932 (18)
B1i—Yb1—B1xxiv66.068 (18)B1x—Yb1—B1xviii78.013 (12)
B1ii—Yb1—B1iii35.78 (3)B1x—Yb1—B1xix66.068 (18)
B1ii—Yb1—B1iv180.0 (5)B1x—Yb1—B1xx101.987 (12)
B1ii—Yb1—B1v90.00 (3)B1x—Yb1—B1xxi66.068 (18)
B1ii—Yb1—B1vi125.78 (3)B1x—Yb1—B1xxii101.987 (12)
B1ii—Yb1—B1vii90.00 (3)B1x—Yb1—B1xxiii113.932 (18)
B1ii—Yb1—B1viii54.22 (3)B1x—Yb1—B1xxiv78.013 (12)
B1ii—Yb1—B1ix78.013 (12)B1xi—Yb1—B1xii144.22 (3)
B1ii—Yb1—B1x113.932 (18)B1xi—Yb1—B1xiii125.78 (3)
B1ii—Yb1—B1xi101.987 (12)B1xi—Yb1—B1xiv90.00 (3)
B1ii—Yb1—B1xii66.068 (18)B1xi—Yb1—B1xv54.22 (3)
B1ii—Yb1—B1xiii101.987 (12)B1xi—Yb1—B1xvi90.00 (3)
B1ii—Yb1—B1xiv66.068 (18)B1xi—Yb1—B1xvii142.402 (19)
B1ii—Yb1—B1xv78.013 (12)B1xi—Yb1—B1xviii66.068 (18)
B1ii—Yb1—B1xvi113.932 (18)B1xi—Yb1—B1xix37.598 (19)
B1ii—Yb1—B1xvii113.932 (18)B1xi—Yb1—B1xx113.932 (18)
B1ii—Yb1—B1xviii37.598 (19)B1xi—Yb1—B1xxi37.598 (19)
B1ii—Yb1—B1xix66.068 (18)B1xi—Yb1—B1xxii113.932 (18)
B1ii—Yb1—B1xx142.402 (19)B1xi—Yb1—B1xxiii142.402 (19)
B1ii—Yb1—B1xxi113.932 (18)B1xi—Yb1—B1xxiv66.068 (18)
B1ii—Yb1—B1xxii37.598 (19)B1xii—Yb1—B1xiii90.00 (3)
B1ii—Yb1—B1xxiii66.068 (18)B1xii—Yb1—B1xiv54.22 (3)
B1ii—Yb1—B1xxiv142.402 (19)B1xii—Yb1—B1xv90.00 (3)
B1iii—Yb1—B1iv144.22 (3)B1xii—Yb1—B1xvi125.78 (3)
B1iii—Yb1—B1v125.78 (3)B1xii—Yb1—B1xvii66.068 (18)
B1iii—Yb1—B1vi90.00 (3)B1xii—Yb1—B1xviii101.987 (12)
B1iii—Yb1—B1vii54.22 (3)B1xii—Yb1—B1xix113.932 (18)
B1iii—Yb1—B1viii90.00 (3)B1xii—Yb1—B1xx78.013 (12)
B1iii—Yb1—B1ix66.068 (18)B1xii—Yb1—B1xxi113.932 (18)
B1iii—Yb1—B1x142.402 (19)B1xii—Yb1—B1xxii78.013 (12)
B1iii—Yb1—B1xi113.932 (18)B1xii—Yb1—B1xxiii66.068 (18)
B1iii—Yb1—B1xii37.598 (19)B1xii—Yb1—B1xxiv101.987 (12)
B1iii—Yb1—B1xiii113.932 (18)B1xiii—Yb1—B1xiv144.22 (3)
B1iii—Yb1—B1xiv37.598 (19)B1xiii—Yb1—B1xv180.0 (5)
B1iii—Yb1—B1xv66.068 (18)B1xiii—Yb1—B1xvi35.78 (3)
B1iii—Yb1—B1xvi142.402 (19)B1xiii—Yb1—B1xvii37.598 (19)
B1iii—Yb1—B1xvii101.987 (12)B1xiii—Yb1—B1xviii113.932 (18)
B1iii—Yb1—B1xviii66.068 (18)B1xiii—Yb1—B1xix142.402 (19)
B1iii—Yb1—B1xix78.013 (12)B1xiii—Yb1—B1xx66.068 (18)
B1iii—Yb1—B1xx113.932 (18)B1xiii—Yb1—B1xxi142.402 (19)
B1iii—Yb1—B1xxi101.987 (12)B1xiii—Yb1—B1xxii66.068 (18)
B1iii—Yb1—B1xxii66.068 (18)B1xiii—Yb1—B1xxiii37.598 (19)
B1iii—Yb1—B1xxiii78.013 (12)B1xiii—Yb1—B1xxiv113.932 (18)
B1iii—Yb1—B1xxiv113.932 (18)B1xiv—Yb1—B1xv35.78 (3)
B1iv—Yb1—B1v90.00 (3)B1xiv—Yb1—B1xvi180.0 (5)
B1iv—Yb1—B1vi54.22 (3)B1xiv—Yb1—B1xvii113.932 (18)
B1iv—Yb1—B1vii90.00 (3)B1xiv—Yb1—B1xviii78.013 (12)
B1iv—Yb1—B1viii125.78 (3)B1xiv—Yb1—B1xix66.068 (18)
B1iv—Yb1—B1ix101.987 (12)B1xiv—Yb1—B1xx101.987 (12)
B1iv—Yb1—B1x66.068 (18)B1xiv—Yb1—B1xxi66.068 (18)
B1iv—Yb1—B1xi78.013 (12)B1xiv—Yb1—B1xxii101.987 (12)
B1iv—Yb1—B1xii113.932 (18)B1xiv—Yb1—B1xxiii113.932 (18)
B1iv—Yb1—B1xiii78.013 (12)B1xiv—Yb1—B1xxiv78.013 (12)
B1iv—Yb1—B1xiv113.932 (18)B1xv—Yb1—B1xvi144.22 (3)
B1iv—Yb1—B1xv101.987 (12)B1xv—Yb1—B1xvii142.402 (19)
B1iv—Yb1—B1xvi66.068 (18)B1xv—Yb1—B1xviii66.068 (18)
B1iv—Yb1—B1xvii66.068 (18)B1xv—Yb1—B1xix37.598 (19)
B1iv—Yb1—B1xviii142.402 (19)B1xv—Yb1—B1xx113.932 (18)
B1iv—Yb1—B1xix113.932 (18)B1xv—Yb1—B1xxi37.598 (19)
B1iv—Yb1—B1xx37.598 (19)B1xv—Yb1—B1xxii113.932 (18)
B1iv—Yb1—B1xxi66.068 (18)B1xv—Yb1—B1xxiii142.402 (19)
B1iv—Yb1—B1xxii142.402 (19)B1xv—Yb1—B1xxiv66.068 (18)
B1iv—Yb1—B1xxiii113.932 (18)B1xvi—Yb1—B1xvii66.068 (18)
B1iv—Yb1—B1xxiv37.598 (19)B1xvi—Yb1—B1xviii101.987 (12)
B1v—Yb1—B1vi144.22 (3)B1xvi—Yb1—B1xix113.932 (18)
B1v—Yb1—B1vii180.0 (5)B1xvi—Yb1—B1xx78.013 (12)
B1v—Yb1—B1viii35.78 (3)B1xvi—Yb1—B1xxi113.932 (18)
B1v—Yb1—B1ix113.932 (18)B1xvi—Yb1—B1xxii78.013 (12)
B1v—Yb1—B1x37.598 (19)B1xvi—Yb1—B1xxiii66.068 (18)
B1v—Yb1—B1xi66.068 (18)B1xvi—Yb1—B1xxiv101.987 (12)
B1v—Yb1—B1xii142.402 (19)B1xvii—Yb1—B1xviii144.22 (3)
B1v—Yb1—B1xiii66.068 (18)B1xvii—Yb1—B1xix180.0 (5)
B1v—Yb1—B1xiv142.402 (19)B1xvii—Yb1—B1xx35.78 (3)
B1v—Yb1—B1xv113.932 (18)B1xvii—Yb1—B1xxi125.78 (3)
B1v—Yb1—B1xvi37.598 (19)B1xvii—Yb1—B1xxii90.00 (3)
B1v—Yb1—B1xvii101.987 (12)B1xvii—Yb1—B1xxiii54.22 (3)
B1v—Yb1—B1xviii66.068 (18)B1xvii—Yb1—B1xxiv90.00 (3)
B1v—Yb1—B1xix78.013 (12)B1xviii—Yb1—B1xix35.78 (3)
B1v—Yb1—B1xx113.932 (18)B1xviii—Yb1—B1xx180.0 (5)
B1v—Yb1—B1xxi101.987 (12)B1xviii—Yb1—B1xxi90.00 (3)
B1v—Yb1—B1xxii66.068 (18)B1xviii—Yb1—B1xxii54.22 (3)
B1v—Yb1—B1xxiii78.013 (12)B1xviii—Yb1—B1xxiii90.00 (3)
B1v—Yb1—B1xxiv113.932 (18)B1xviii—Yb1—B1xxiv125.78 (3)
B1vi—Yb1—B1vii35.78 (3)B1xix—Yb1—B1xx144.22 (3)
B1vi—Yb1—B1viii180.0 (5)B1xix—Yb1—B1xxi54.22 (3)
B1vi—Yb1—B1ix78.013 (12)B1xix—Yb1—B1xxii90.00 (3)
B1vi—Yb1—B1x113.932 (18)B1xix—Yb1—B1xxiii125.78 (3)
B1vi—Yb1—B1xi101.987 (12)B1xix—Yb1—B1xxiv90.00 (3)
B1vi—Yb1—B1xii66.068 (18)B1xx—Yb1—B1xxi90.00 (3)
B1vi—Yb1—B1xiii101.987 (12)B1xx—Yb1—B1xxii125.78 (3)
B1vi—Yb1—B1xiv66.068 (18)B1xx—Yb1—B1xxiii90.00 (3)
B1vi—Yb1—B1xv78.013 (12)B1xx—Yb1—B1xxiv54.22 (3)
B1vi—Yb1—B1xvi113.932 (18)B1xxi—Yb1—B1xxii144.22 (3)
B1vi—Yb1—B1xvii66.068 (18)B1xxi—Yb1—B1xxiii180.0 (5)
B1vi—Yb1—B1xviii142.402 (19)B1xxi—Yb1—B1xxiv35.78 (3)
B1vi—Yb1—B1xix113.932 (18)B1xxii—Yb1—B1xxiii35.78 (3)
B1vi—Yb1—B1xx37.598 (19)B1xxii—Yb1—B1xxiv180.0 (5)
B1vi—Yb1—B1xxi66.068 (18)B1xxiii—Yb1—B1xxiv144.22 (3)
B1vi—Yb1—B1xxii142.402 (19)Yb1xxx—B1—Yb1xxxi144.22 (4)
B1vi—Yb1—B1xxiii113.932 (18)Yb1xxx—B1—B1xxv72.11 (5)
B1vi—Yb1—B1xxiv37.598 (19)Yb1xxx—B1—B1xxvi62.89 (3)
B1vii—Yb1—B1viii144.22 (3)Yb1xxx—B1—B1xxvii152.89 (5)
B1vii—Yb1—B1ix66.068 (18)Yb1xxx—B1—B1xxviii71.20 (4)
B1vii—Yb1—B1x142.402 (19)Yb1xxx—B1—B1xv71.20 (4)
B1vii—Yb1—B1xi113.932 (18)Yb1xxx—B1—B1xxix129.01 (4)
B1vii—Yb1—B1xii37.598 (19)Yb1xxx—B1—B1xxi129.01 (4)
B1vii—Yb1—B1xiii113.932 (18)Yb1xxxi—B1—B1xxv72.11 (5)
B1vii—Yb1—B1xiv37.598 (19)Yb1xxxi—B1—B1xxvi152.89 (5)
B1vii—Yb1—B1xv66.068 (18)Yb1xxxi—B1—B1xxvii62.89 (3)
B1vii—Yb1—B1xvi142.402 (19)Yb1xxxi—B1—B1xxviii129.01 (4)
B1vii—Yb1—B1xvii78.013 (12)Yb1xxxi—B1—B1xv129.01 (4)
B1vii—Yb1—B1xviii113.932 (18)Yb1xxxi—B1—B1xxix71.20 (4)
B1vii—Yb1—B1xix101.987 (12)Yb1xxxi—B1—B1xxi71.20 (4)
B1vii—Yb1—B1xx66.068 (18)B1xxv—B1—B1xxvi135.00 (6)
B1vii—Yb1—B1xxi78.013 (12)B1xxv—B1—B1xxvii135.00 (6)
B1vii—Yb1—B1xxii113.932 (18)B1xxv—B1—B1xxviii120.00 (5)
B1vii—Yb1—B1xxiii101.987 (12)B1xxv—B1—B1xv120.00 (5)
B1vii—Yb1—B1xxiv66.068 (18)B1xxv—B1—B1xxix120.00 (5)
B1viii—Yb1—B1ix101.987 (12)B1xxv—B1—B1xxi120.00 (5)
B1viii—Yb1—B1x66.068 (18)B1xxvi—B1—B1xxvii90.00 (4)
B1viii—Yb1—B1xi78.013 (12)B1xxvi—B1—B1xxviii45.00 (3)
B1viii—Yb1—B1xii113.932 (18)B1xxvi—B1—B1xv45.00 (3)
B1viii—Yb1—B1xiii78.013 (12)B1xxvi—B1—B1xxix90.00 (5)
B1viii—Yb1—B1xiv113.932 (18)B1xxvi—B1—B1xxi90.00 (5)
B1viii—Yb1—B1xv101.987 (12)B1xxvii—B1—B1xxviii90.00 (5)
B1viii—Yb1—B1xvi66.068 (18)B1xxvii—B1—B1xv90.00 (5)
B1viii—Yb1—B1xvii113.932 (18)B1xxvii—B1—B1xxix45.00 (3)
B1viii—Yb1—B1xviii37.598 (19)B1xxvii—B1—B1xxi45.00 (3)
B1viii—Yb1—B1xix66.068 (18)B1xxviii—B1—B1xv90.00 (5)
B1viii—Yb1—B1xx142.402 (19)B1xxviii—B1—B1xxix60.00 (4)
B1viii—Yb1—B1xxi113.932 (18)B1xxviii—B1—B1xxi120.00 (7)
B1viii—Yb1—B1xxii37.598 (19)B1xv—B1—B1xxix120.00 (7)
B1viii—Yb1—B1xxiii66.068 (18)B1xv—B1—B1xxi60.00 (4)
B1viii—Yb1—B1xxiv142.402 (19)B1xxix—B1—B1xxi90.00 (5)
Symmetry codes: (i) x, y1/2, z1/2; (ii) x1/2, y, z1/2; (iii) x, y+1/2, z1/2; (iv) x+1/2, y, z1/2; (v) x, y1/2, z+1/2; (vi) x+1/2, y, z+1/2; (vii) x, y+1/2, z+1/2; (viii) x1/2, y, z+1/2; (ix) z1/2, x, y1/2; (x) z1/2, x1/2, y; (xi) z1/2, x, y+1/2; (xii) z1/2, x+1/2, y; (xiii) z+1/2, x, y1/2; (xiv) z+1/2, x+1/2, y; (xv) z+1/2, x, y+1/2; (xvi) z+1/2, x1/2, y; (xvii) y, z1/2, x1/2; (xviii) y1/2, z1/2, x; (xix) y, z1/2, x+1/2; (xx) y+1/2, z1/2, x; (xxi) y, z+1/2, x+1/2; (xxii) y1/2, z+1/2, x; (xxiii) y, z+1/2, x1/2; (xxiv) y+1/2, z+1/2, x; (xxv) x+1/2, y+1/2, z; (xxvi) x, y, z+1; (xxvii) x, y, z+1; (xxviii) z1/2, x, y+1/2; (xxix) y, z1/2, x+1/2; (xxx) x, y+1/2, z+1/2; (xxxi) x+1/2, y, z+1/2.
(120K) top
Crystal data top
B12YbDx = 4.843 Mg m3
Mr = 302.8Mo Kα radiation, λ = 0.71073 Å
Cubic, Fm3mCell parameters from 7564 reflections
Hall symbol: -F 4 2 3θ = 4.7–73.8°
a = 7.4603 (2) ŵ = 22.35 mm1
V = 415.21 (2) Å3T = 120 K
Z = 4Plate, black
F(000) = 5200.39 × 0.29 × 0.11 mm
Data collection top
Xcalibur, EosS2 with high theta cut
diffractometer
267 independent reflections
Radiation source: X-ray tube267 reflections with I > 3σ(I)
Graphite monochromatorRint = 0.039
Detector resolution: 16.1745 pixels mm-1θmax = 74.2°, θmin = 4.7°
ω scansh = 1817
Absorption correction: analytical
CrysAlisPro 1.171.39.46 (Rigaku Oxford Diffraction, 2018) Analytical numeric absorption correction using a multifaceted crystal model based on expressions derived by R.C. Clark & J.S. Reid. (Clark, R. C. & Reid, J. S. (1995). Acta Cryst. A51, 887-897) Empirical absorption correction using spherical harmonics, implemented in SCALE3 ABSPACK scaling algorithm.
k = 1919
Tmin = 0.019, Tmax = 0.221l = 2020
10656 measured reflections
Refinement top
Refinement on F0 constraints
R[F2 > 2σ(F2)] = 0.008Weighting scheme based on measured s.u.'s w = 1/(σ2(F) + 0.00011025F2)
wR(F2) = 0.011(Δ/σ)max = 0.034
S = 1.02Δρmax = 0.72 e Å3
267 reflectionsΔρmin = 1.13 e Å3
7 parametersExtinction correction: B-C type 1 Lorentzian isotropic (Becker & Coppens, 1974)
0 restraintsExtinction coefficient: 7420 (170)
Fractional atomic coordinates and isotropic or equivalent isotropic displacement parameters (Å2) top
xyzUiso*/Ueq
B10.16928 (9)0.16928 (9)0.50.00367 (8)
Yb10000.001511 (16)
Atomic displacement parameters (Å2) top
U11U22U33U12U13U23
B10.00387 (12)0.00387 (12)0.00327 (19)0.00094 (16)00
Yb10.00151 (3)0.00151 (3)0.00151 (3)000
Geometric parameters (Å, º) top
B1—B1i1.7033 (9)B1—B1vi1.7859 (6)
B1—B1ii2.5257 (9)B1—B1vii1.7859 (6)
B1—B1iii2.5257 (9)B1—Yb1viii2.7717 (7)
B1—B1iv1.7859 (6)B1—Yb1ix2.7717 (7)
B1—B1v1.7859 (6)
B1i—B1—B1ii135.00 (4)B1xv—Yb1—B1xxix142.411 (13)
B1i—B1—B1iii135.00 (4)B1xv—Yb1—B1xxx113.928 (12)
B1i—B1—B1iv120.00 (3)B1xv—Yb1—B1xxxi37.589 (13)
B1i—B1—B1v120.00 (3)B1xvi—Yb1—B1xvii144.210 (19)
B1i—B1—B1vi120.00 (3)B1xvi—Yb1—B1xviii66.072 (12)
B1i—B1—B1vii120.00 (3)B1xvi—Yb1—B1xix142.411 (13)
B1i—B1—Yb1viii72.11 (3)B1xvi—Yb1—B1xx113.928 (12)
B1i—B1—Yb1ix72.11 (3)B1xvi—Yb1—B1xxi37.589 (13)
B1ii—B1—B1iii90.00 (3)B1xvi—Yb1—B1xxii113.928 (12)
B1ii—B1—B1iv45.00 (2)B1xvi—Yb1—B1xxiii37.589 (13)
B1ii—B1—B1v45.00 (2)B1xvi—Yb1—B1v66.072 (12)
B1ii—B1—B1vi90.00 (3)B1xvi—Yb1—B1xxiv142.411 (13)
B1ii—B1—B1vii90.00 (3)B1xvi—Yb1—B1xxv78.019 (8)
B1ii—B1—Yb1viii62.89 (2)B1xvi—Yb1—B1xxvi113.928 (12)
B1ii—B1—Yb1ix152.89 (3)B1xvi—Yb1—B1xxvii101.981 (8)
B1iii—B1—B1iv90.00 (3)B1xvi—Yb1—B1xxviii66.072 (12)
B1iii—B1—B1v90.00 (3)B1xvi—Yb1—B1vii78.019 (8)
B1iii—B1—B1vi45.00 (2)B1xvi—Yb1—B1xxix113.928 (12)
B1iii—B1—B1vii45.00 (2)B1xvi—Yb1—B1xxx101.981 (8)
B1iii—B1—Yb1viii152.89 (3)B1xvi—Yb1—B1xxxi66.072 (12)
B1iii—B1—Yb1ix62.89 (2)B1xvii—Yb1—B1xviii101.981 (8)
B1iv—B1—B1v90.00 (4)B1xvii—Yb1—B1xix66.072 (12)
B1iv—B1—B1vi60.00 (3)B1xvii—Yb1—B1xx78.019 (8)
B1iv—B1—B1vii120.00 (4)B1xvii—Yb1—B1xxi113.928 (12)
B1iv—B1—Yb1viii71.21 (3)B1xvii—Yb1—B1xxii78.019 (8)
B1iv—B1—Yb1ix129.01 (3)B1xvii—Yb1—B1xxiii113.928 (12)
B1v—B1—B1vi120.00 (4)B1xvii—Yb1—B1v101.981 (8)
B1v—B1—B1vii60.00 (3)B1xvii—Yb1—B1xxiv66.072 (12)
B1v—B1—Yb1viii71.21 (3)B1xvii—Yb1—B1xxv113.928 (12)
B1v—B1—Yb1ix129.01 (3)B1xvii—Yb1—B1xxvi37.589 (13)
B1vi—B1—B1vii90.00 (4)B1xvii—Yb1—B1xxvii66.072 (12)
B1vi—B1—Yb1viii129.01 (3)B1xvii—Yb1—B1xxviii142.411 (13)
B1vi—B1—Yb1ix71.21 (3)B1xvii—Yb1—B1vii113.928 (12)
B1vii—B1—Yb1viii129.01 (3)B1xvii—Yb1—B1xxix37.589 (13)
B1vii—B1—Yb1ix71.21 (3)B1xvii—Yb1—B1xxx66.072 (12)
Yb1viii—B1—Yb1ix144.21 (3)B1xvii—Yb1—B1xxxi142.411 (13)
B1x—Yb1—B1xi144.210 (19)B1xviii—Yb1—B1xix144.210 (19)
B1x—Yb1—B1xii180.0 (5)B1xviii—Yb1—B1xx180.0 (5)
B1x—Yb1—B1xiii35.790 (19)B1xviii—Yb1—B1xxi35.790 (19)
B1x—Yb1—B1xiv54.210 (19)B1xviii—Yb1—B1xxii54.210 (19)
B1x—Yb1—B1xv90.000 (19)B1xviii—Yb1—B1xxiii90.000 (19)
B1x—Yb1—B1xvi125.790 (19)B1xviii—Yb1—B1v125.790 (19)
B1x—Yb1—B1xvii90.000 (19)B1xviii—Yb1—B1xxiv90.000 (19)
B1x—Yb1—B1xviii113.928 (12)B1xviii—Yb1—B1xxv37.589 (13)
B1x—Yb1—B1xix37.589 (13)B1xviii—Yb1—B1xxvi113.928 (12)
B1x—Yb1—B1xx66.072 (12)B1xviii—Yb1—B1xxvii142.411 (13)
B1x—Yb1—B1xxi142.411 (13)B1xviii—Yb1—B1xxviii66.072 (12)
B1x—Yb1—B1xxii66.072 (12)B1xviii—Yb1—B1vii142.411 (13)
B1x—Yb1—B1xxiii142.411 (13)B1xviii—Yb1—B1xxix66.072 (12)
B1x—Yb1—B1v113.928 (12)B1xviii—Yb1—B1xxx37.589 (13)
B1x—Yb1—B1xxiv37.589 (13)B1xviii—Yb1—B1xxxi113.928 (12)
B1x—Yb1—B1xxv78.019 (8)B1xix—Yb1—B1xx35.790 (19)
B1x—Yb1—B1xxvi113.928 (12)B1xix—Yb1—B1xxi180.0 (5)
B1x—Yb1—B1xxvii101.981 (8)B1xix—Yb1—B1xxii90.000 (19)
B1x—Yb1—B1xxviii66.072 (12)B1xix—Yb1—B1xxiii125.790 (19)
B1x—Yb1—B1vii78.019 (8)B1xix—Yb1—B1v90.000 (19)
B1x—Yb1—B1xxix113.928 (12)B1xix—Yb1—B1xxiv54.210 (19)
B1x—Yb1—B1xxx101.981 (8)B1xix—Yb1—B1xxv113.928 (12)
B1x—Yb1—B1xxxi66.072 (12)B1xix—Yb1—B1xxvi78.019 (8)
B1xi—Yb1—B1xii35.790 (19)B1xix—Yb1—B1xxvii66.072 (12)
B1xi—Yb1—B1xiii180.0 (5)B1xix—Yb1—B1xxviii101.981 (8)
B1xi—Yb1—B1xiv90.000 (19)B1xix—Yb1—B1vii66.072 (12)
B1xi—Yb1—B1xv125.790 (19)B1xix—Yb1—B1xxix101.981 (8)
B1xi—Yb1—B1xvi90.000 (19)B1xix—Yb1—B1xxx113.928 (12)
B1xi—Yb1—B1xvii54.210 (19)B1xix—Yb1—B1xxxi78.019 (8)
B1xi—Yb1—B1xviii78.019 (8)B1xx—Yb1—B1xxi144.210 (19)
B1xi—Yb1—B1xix113.928 (12)B1xx—Yb1—B1xxii125.790 (19)
B1xi—Yb1—B1xx101.981 (8)B1xx—Yb1—B1xxiii90.000 (19)
B1xi—Yb1—B1xxi66.072 (12)B1xx—Yb1—B1v54.210 (19)
B1xi—Yb1—B1xxii101.981 (8)B1xx—Yb1—B1xxiv90.000 (19)
B1xi—Yb1—B1xxiii66.072 (12)B1xx—Yb1—B1xxv142.411 (13)
B1xi—Yb1—B1v78.019 (8)B1xx—Yb1—B1xxvi66.072 (12)
B1xi—Yb1—B1xxiv113.928 (12)B1xx—Yb1—B1xxvii37.589 (13)
B1xi—Yb1—B1xxv113.928 (12)B1xx—Yb1—B1xxviii113.928 (12)
B1xi—Yb1—B1xxvi37.589 (13)B1xx—Yb1—B1vii37.589 (13)
B1xi—Yb1—B1xxvii66.072 (12)B1xx—Yb1—B1xxix113.928 (12)
B1xi—Yb1—B1xxviii142.411 (13)B1xx—Yb1—B1xxx142.411 (13)
B1xi—Yb1—B1vii113.928 (12)B1xx—Yb1—B1xxxi66.072 (12)
B1xi—Yb1—B1xxix37.589 (13)B1xxi—Yb1—B1xxii90.000 (19)
B1xi—Yb1—B1xxx66.072 (12)B1xxi—Yb1—B1xxiii54.210 (19)
B1xi—Yb1—B1xxxi142.411 (13)B1xxi—Yb1—B1v90.000 (19)
B1xii—Yb1—B1xiii144.210 (19)B1xxi—Yb1—B1xxiv125.790 (19)
B1xii—Yb1—B1xiv125.790 (19)B1xxi—Yb1—B1xxv66.072 (12)
B1xii—Yb1—B1xv90.000 (19)B1xxi—Yb1—B1xxvi101.981 (8)
B1xii—Yb1—B1xvi54.210 (19)B1xxi—Yb1—B1xxvii113.928 (12)
B1xii—Yb1—B1xvii90.000 (19)B1xxi—Yb1—B1xxviii78.019 (8)
B1xii—Yb1—B1xviii66.072 (12)B1xxi—Yb1—B1vii113.928 (12)
B1xii—Yb1—B1xix142.411 (13)B1xxi—Yb1—B1xxix78.019 (8)
B1xii—Yb1—B1xx113.928 (12)B1xxi—Yb1—B1xxx66.072 (12)
B1xii—Yb1—B1xxi37.589 (13)B1xxi—Yb1—B1xxxi101.981 (8)
B1xii—Yb1—B1xxii113.928 (12)B1xxii—Yb1—B1xxiii144.210 (19)
B1xii—Yb1—B1xxiii37.589 (13)B1xxii—Yb1—B1v180.0 (5)
B1xii—Yb1—B1v66.072 (12)B1xxii—Yb1—B1xxiv35.790 (19)
B1xii—Yb1—B1xxiv142.411 (13)B1xxii—Yb1—B1xxv37.589 (13)
B1xii—Yb1—B1xxv101.981 (8)B1xxii—Yb1—B1xxvi113.928 (12)
B1xii—Yb1—B1xxvi66.072 (12)B1xxii—Yb1—B1xxvii142.411 (13)
B1xii—Yb1—B1xxvii78.019 (8)B1xxii—Yb1—B1xxviii66.072 (12)
B1xii—Yb1—B1xxviii113.928 (12)B1xxii—Yb1—B1vii142.411 (13)
B1xii—Yb1—B1vii101.981 (8)B1xxii—Yb1—B1xxix66.072 (12)
B1xii—Yb1—B1xxix66.072 (12)B1xxii—Yb1—B1xxx37.589 (13)
B1xii—Yb1—B1xxx78.019 (8)B1xxii—Yb1—B1xxxi113.928 (12)
B1xii—Yb1—B1xxxi113.928 (12)B1xxiii—Yb1—B1v35.790 (19)
B1xiii—Yb1—B1xiv90.000 (19)B1xxiii—Yb1—B1xxiv180.0 (5)
B1xiii—Yb1—B1xv54.210 (19)B1xxiii—Yb1—B1xxv113.928 (12)
B1xiii—Yb1—B1xvi90.000 (19)B1xxiii—Yb1—B1xxvi78.019 (8)
B1xiii—Yb1—B1xvii125.790 (19)B1xxiii—Yb1—B1xxvii66.072 (12)
B1xiii—Yb1—B1xviii101.981 (8)B1xxiii—Yb1—B1xxviii101.981 (8)
B1xiii—Yb1—B1xix66.072 (12)B1xxiii—Yb1—B1vii66.072 (12)
B1xiii—Yb1—B1xx78.019 (8)B1xxiii—Yb1—B1xxix101.981 (8)
B1xiii—Yb1—B1xxi113.928 (12)B1xxiii—Yb1—B1xxx113.928 (12)
B1xiii—Yb1—B1xxii78.019 (8)B1xxiii—Yb1—B1xxxi78.019 (8)
B1xiii—Yb1—B1xxiii113.928 (12)B1v—Yb1—B1xxiv144.210 (19)
B1xiii—Yb1—B1v101.981 (8)B1v—Yb1—B1xxv142.411 (13)
B1xiii—Yb1—B1xxiv66.072 (12)B1v—Yb1—B1xxvi66.072 (12)
B1xiii—Yb1—B1xxv66.072 (12)B1v—Yb1—B1xxvii37.589 (13)
B1xiii—Yb1—B1xxvi142.411 (13)B1v—Yb1—B1xxviii113.928 (12)
B1xiii—Yb1—B1xxvii113.928 (12)B1v—Yb1—B1vii37.589 (13)
B1xiii—Yb1—B1xxviii37.589 (13)B1v—Yb1—B1xxix113.928 (12)
B1xiii—Yb1—B1vii66.072 (12)B1v—Yb1—B1xxx142.411 (13)
B1xiii—Yb1—B1xxix142.411 (13)B1v—Yb1—B1xxxi66.072 (12)
B1xiii—Yb1—B1xxx113.928 (12)B1xxiv—Yb1—B1xxv66.072 (12)
B1xiii—Yb1—B1xxxi37.589 (13)B1xxiv—Yb1—B1xxvi101.981 (8)
B1xiv—Yb1—B1xv144.210 (19)B1xxiv—Yb1—B1xxvii113.928 (12)
B1xiv—Yb1—B1xvi180.0 (5)B1xxiv—Yb1—B1xxviii78.019 (8)
B1xiv—Yb1—B1xvii35.790 (19)B1xxiv—Yb1—B1vii113.928 (12)
B1xiv—Yb1—B1xviii113.928 (12)B1xxiv—Yb1—B1xxix78.019 (8)
B1xiv—Yb1—B1xix37.589 (13)B1xxiv—Yb1—B1xxx66.072 (12)
B1xiv—Yb1—B1xx66.072 (12)B1xxiv—Yb1—B1xxxi101.981 (8)
B1xiv—Yb1—B1xxi142.411 (13)B1xxv—Yb1—B1xxvi144.210 (19)
B1xiv—Yb1—B1xxii66.072 (12)B1xxv—Yb1—B1xxvii180.0 (5)
B1xiv—Yb1—B1xxiii142.411 (13)B1xxv—Yb1—B1xxviii35.790 (19)
B1xiv—Yb1—B1v113.928 (12)B1xxv—Yb1—B1vii125.790 (19)
B1xiv—Yb1—B1xxiv37.589 (13)B1xxv—Yb1—B1xxix90.000 (19)
B1xiv—Yb1—B1xxv101.981 (8)B1xxv—Yb1—B1xxx54.210 (19)
B1xiv—Yb1—B1xxvi66.072 (12)B1xxv—Yb1—B1xxxi90.000 (19)
B1xiv—Yb1—B1xxvii78.019 (8)B1xxvi—Yb1—B1xxvii35.790 (19)
B1xiv—Yb1—B1xxviii113.928 (12)B1xxvi—Yb1—B1xxviii180.0 (5)
B1xiv—Yb1—B1vii101.981 (8)B1xxvi—Yb1—B1vii90.000 (19)
B1xiv—Yb1—B1xxix66.072 (12)B1xxvi—Yb1—B1xxix54.210 (19)
B1xiv—Yb1—B1xxx78.019 (8)B1xxvi—Yb1—B1xxx90.000 (19)
B1xiv—Yb1—B1xxxi113.928 (12)B1xxvi—Yb1—B1xxxi125.790 (19)
B1xv—Yb1—B1xvi35.790 (19)B1xxvii—Yb1—B1xxviii144.210 (19)
B1xv—Yb1—B1xvii180.0 (5)B1xxvii—Yb1—B1vii54.210 (19)
B1xv—Yb1—B1xviii78.019 (8)B1xxvii—Yb1—B1xxix90.000 (19)
B1xv—Yb1—B1xix113.928 (12)B1xxvii—Yb1—B1xxx125.790 (19)
B1xv—Yb1—B1xx101.981 (8)B1xxvii—Yb1—B1xxxi90.000 (19)
B1xv—Yb1—B1xxi66.072 (12)B1xxviii—Yb1—B1vii90.000 (19)
B1xv—Yb1—B1xxii101.981 (8)B1xxviii—Yb1—B1xxix125.790 (19)
B1xv—Yb1—B1xxiii66.072 (12)B1xxviii—Yb1—B1xxx90.000 (19)
B1xv—Yb1—B1v78.019 (8)B1xxviii—Yb1—B1xxxi54.210 (19)
B1xv—Yb1—B1xxiv113.928 (12)B1vii—Yb1—B1xxix144.210 (19)
B1xv—Yb1—B1xxv66.072 (12)B1vii—Yb1—B1xxx180.0 (5)
B1xv—Yb1—B1xxvi142.411 (13)B1vii—Yb1—B1xxxi35.790 (19)
B1xv—Yb1—B1xxvii113.928 (12)B1xxix—Yb1—B1xxx35.790 (19)
B1xv—Yb1—B1xxviii37.589 (13)B1xxix—Yb1—B1xxxi180.0 (5)
B1xv—Yb1—B1vii66.072 (12)B1xxx—Yb1—B1xxxi144.210 (19)
Symmetry codes: (i) x+1/2, y+1/2, z; (ii) x, y, z+1; (iii) x, y, z+1; (iv) z1/2, x, y+1/2; (v) z+1/2, x, y+1/2; (vi) y, z1/2, x+1/2; (vii) y, z+1/2, x+1/2; (viii) x, y+1/2, z+1/2; (ix) x+1/2, y, z+1/2; (x) x, y1/2, z1/2; (xi) x1/2, y, z1/2; (xii) x, y+1/2, z1/2; (xiii) x+1/2, y, z1/2; (xiv) x, y1/2, z+1/2; (xv) x+1/2, y, z+1/2; (xvi) x, y+1/2, z+1/2; (xvii) x1/2, y, z+1/2; (xviii) z1/2, x, y1/2; (xix) z1/2, x1/2, y; (xx) z1/2, x, y+1/2; (xxi) z1/2, x+1/2, y; (xxii) z+1/2, x, y1/2; (xxiii) z+1/2, x+1/2, y; (xxiv) z+1/2, x1/2, y; (xxv) y, z1/2, x1/2; (xxvi) y1/2, z1/2, x; (xxvii) y, z1/2, x+1/2; (xxviii) y+1/2, z1/2, x; (xxix) y1/2, z+1/2, x; (xxx) y, z+1/2, x1/2; (xxxi) y+1/2, z+1/2, x.
(130K) top
Crystal data top
B12YbDx = 4.847 Mg m3
Mr = 302.8Mo Kα radiation, λ = 0.71073 Å
Cubic, Fm3mCell parameters from 7595 reflections
Hall symbol: -F 4 2 3θ = 4.7–73.8°
a = 7.4584 (3) ŵ = 22.35 mm1
V = 414.89 (2) Å3T = 130 K
Z = 4Plate, black
F(000) = 5200.39 × 0.29 × 0.11 mm
Data collection top
Xcalibur, EosS2 with high theta cut
diffractometer
267 independent reflections
Radiation source: X-ray tube267 reflections with I > 3σ(I)
Graphite monochromatorRint = 0.042
Detector resolution: 16.1745 pixels mm-1θmax = 74.2°, θmin = 4.7°
ω scansh = 1817
Absorption correction: analytical
CrysAlisPro 1.171.39.46 (Rigaku Oxford Diffraction, 2018) Analytical numeric absorption correction using a multifaceted crystal model based on expressions derived by R.C. Clark & J.S. Reid. (Clark, R. C. & Reid, J. S. (1995). Acta Cryst. A51, 887-897) Empirical absorption correction using spherical harmonics, implemented in SCALE3 ABSPACK scaling algorithm.
k = 2019
Tmin = 0.019, Tmax = 0.221l = 2020
10720 measured reflections
Refinement top
Refinement on F0 constraints
R[F2 > 2σ(F2)] = 0.011Weighting scheme based on measured s.u.'s w = 1/(σ2(F) + 0.000256F2)
wR(F2) = 0.017(Δ/σ)max = 0.015
S = 1.05Δρmax = 1.52 e Å3
267 reflectionsΔρmin = 1.10 e Å3
7 parametersExtinction correction: B-C type 1 Lorentzian isotropic (Becker & Coppens, 1974)
0 restraintsExtinction coefficient: 7400 (300)
Fractional atomic coordinates and isotropic or equivalent isotropic displacement parameters (Å2) top
xyzUiso*/Ueq
Yb10000.00174 (3)
B10.16929 (13)0.16929 (13)0.50.00382 (13)
Atomic displacement parameters (Å2) top
U11U22U33U12U13U23
Yb10.00174 (4)0.00174 (4)0.00174 (4)000
B10.00401 (18)0.00401 (18)0.0034 (3)0.0010 (2)00
Geometric parameters (Å, º) top
Yb1—B1i2.7710 (10)Yb1—B1xvii2.7710 (10)
Yb1—B1ii2.7710 (10)Yb1—B1xviii2.7710 (10)
Yb1—B1iii2.7710 (10)Yb1—B1xix2.7710 (10)
Yb1—B1iv2.7710 (10)Yb1—B1xx2.7710 (10)
Yb1—B1v2.7710 (10)Yb1—B1xxi2.7710 (10)
Yb1—B1vi2.7710 (10)Yb1—B1xxii2.7710 (10)
Yb1—B1vii2.7710 (10)Yb1—B1xxiii2.7710 (10)
Yb1—B1viii2.7710 (10)Yb1—B1xxiv2.7710 (10)
Yb1—B1ix2.7710 (10)B1—B1xxv1.7026 (14)
Yb1—B1x2.7710 (10)B1—B1xxvi2.5253 (14)
Yb1—B1xi2.7710 (10)B1—B1xxvii2.5253 (14)
Yb1—B1xii2.7710 (10)B1—B1xxviii1.7856 (10)
Yb1—B1xiii2.7710 (10)B1—B1xv1.7856 (10)
Yb1—B1xiv2.7710 (10)B1—B1xxix1.7856 (10)
Yb1—B1xv2.7710 (10)B1—B1xxi1.7856 (10)
Yb1—B1xvi2.7710 (10)
B1i—Yb1—B1ii144.22 (3)B1ix—Yb1—B1x144.22 (3)
B1i—Yb1—B1iii180.0 (5)B1ix—Yb1—B1xi180.0 (5)
B1i—Yb1—B1iv35.78 (3)B1ix—Yb1—B1xii35.78 (3)
B1i—Yb1—B1v54.22 (3)B1ix—Yb1—B1xiii54.22 (3)
B1i—Yb1—B1vi90.00 (3)B1ix—Yb1—B1xiv90.00 (3)
B1i—Yb1—B1vii125.78 (3)B1ix—Yb1—B1xv125.78 (3)
B1i—Yb1—B1viii90.00 (3)B1ix—Yb1—B1xvi90.00 (3)
B1i—Yb1—B1ix113.930 (18)B1ix—Yb1—B1xvii37.593 (19)
B1i—Yb1—B1x37.593 (19)B1ix—Yb1—B1xviii113.930 (18)
B1i—Yb1—B1xi66.070 (18)B1ix—Yb1—B1xix142.407 (19)
B1i—Yb1—B1xii142.407 (19)B1ix—Yb1—B1xx66.070 (18)
B1i—Yb1—B1xiii66.070 (18)B1ix—Yb1—B1xxi142.407 (19)
B1i—Yb1—B1xiv142.407 (19)B1ix—Yb1—B1xxii66.070 (18)
B1i—Yb1—B1xv113.930 (18)B1ix—Yb1—B1xxiii37.593 (19)
B1i—Yb1—B1xvi37.593 (19)B1ix—Yb1—B1xxiv113.930 (18)
B1i—Yb1—B1xvii78.016 (12)B1x—Yb1—B1xi35.78 (3)
B1i—Yb1—B1xviii113.930 (18)B1x—Yb1—B1xii180.0 (5)
B1i—Yb1—B1xix101.984 (12)B1x—Yb1—B1xiii90.00 (3)
B1i—Yb1—B1xx66.070 (18)B1x—Yb1—B1xiv125.78 (3)
B1i—Yb1—B1xxi78.016 (12)B1x—Yb1—B1xv90.00 (3)
B1i—Yb1—B1xxii113.930 (18)B1x—Yb1—B1xvi54.22 (3)
B1i—Yb1—B1xxiii101.984 (12)B1x—Yb1—B1xvii113.930 (18)
B1i—Yb1—B1xxiv66.070 (18)B1x—Yb1—B1xviii78.016 (12)
B1ii—Yb1—B1iii35.78 (3)B1x—Yb1—B1xix66.070 (18)
B1ii—Yb1—B1iv180.0 (5)B1x—Yb1—B1xx101.984 (12)
B1ii—Yb1—B1v90.00 (3)B1x—Yb1—B1xxi66.070 (18)
B1ii—Yb1—B1vi125.78 (3)B1x—Yb1—B1xxii101.984 (12)
B1ii—Yb1—B1vii90.00 (3)B1x—Yb1—B1xxiii113.930 (18)
B1ii—Yb1—B1viii54.22 (3)B1x—Yb1—B1xxiv78.016 (12)
B1ii—Yb1—B1ix78.016 (12)B1xi—Yb1—B1xii144.22 (3)
B1ii—Yb1—B1x113.930 (18)B1xi—Yb1—B1xiii125.78 (3)
B1ii—Yb1—B1xi101.984 (12)B1xi—Yb1—B1xiv90.00 (3)
B1ii—Yb1—B1xii66.070 (18)B1xi—Yb1—B1xv54.22 (3)
B1ii—Yb1—B1xiii101.984 (12)B1xi—Yb1—B1xvi90.00 (3)
B1ii—Yb1—B1xiv66.070 (18)B1xi—Yb1—B1xvii142.407 (19)
B1ii—Yb1—B1xv78.016 (12)B1xi—Yb1—B1xviii66.070 (18)
B1ii—Yb1—B1xvi113.930 (18)B1xi—Yb1—B1xix37.593 (19)
B1ii—Yb1—B1xvii113.930 (18)B1xi—Yb1—B1xx113.930 (18)
B1ii—Yb1—B1xviii37.593 (19)B1xi—Yb1—B1xxi37.593 (19)
B1ii—Yb1—B1xix66.070 (18)B1xi—Yb1—B1xxii113.930 (18)
B1ii—Yb1—B1xx142.407 (19)B1xi—Yb1—B1xxiii142.407 (19)
B1ii—Yb1—B1xxi113.930 (18)B1xi—Yb1—B1xxiv66.070 (18)
B1ii—Yb1—B1xxii37.593 (19)B1xii—Yb1—B1xiii90.00 (3)
B1ii—Yb1—B1xxiii66.070 (18)B1xii—Yb1—B1xiv54.22 (3)
B1ii—Yb1—B1xxiv142.407 (19)B1xii—Yb1—B1xv90.00 (3)
B1iii—Yb1—B1iv144.22 (3)B1xii—Yb1—B1xvi125.78 (3)
B1iii—Yb1—B1v125.78 (3)B1xii—Yb1—B1xvii66.070 (18)
B1iii—Yb1—B1vi90.00 (3)B1xii—Yb1—B1xviii101.984 (12)
B1iii—Yb1—B1vii54.22 (3)B1xii—Yb1—B1xix113.930 (18)
B1iii—Yb1—B1viii90.00 (3)B1xii—Yb1—B1xx78.016 (12)
B1iii—Yb1—B1ix66.070 (18)B1xii—Yb1—B1xxi113.930 (18)
B1iii—Yb1—B1x142.407 (19)B1xii—Yb1—B1xxii78.016 (12)
B1iii—Yb1—B1xi113.930 (18)B1xii—Yb1—B1xxiii66.070 (18)
B1iii—Yb1—B1xii37.593 (19)B1xii—Yb1—B1xxiv101.984 (12)
B1iii—Yb1—B1xiii113.930 (18)B1xiii—Yb1—B1xiv144.22 (3)
B1iii—Yb1—B1xiv37.593 (19)B1xiii—Yb1—B1xv180.0 (5)
B1iii—Yb1—B1xv66.070 (18)B1xiii—Yb1—B1xvi35.78 (3)
B1iii—Yb1—B1xvi142.407 (19)B1xiii—Yb1—B1xvii37.593 (19)
B1iii—Yb1—B1xvii101.984 (12)B1xiii—Yb1—B1xviii113.930 (18)
B1iii—Yb1—B1xviii66.070 (18)B1xiii—Yb1—B1xix142.407 (19)
B1iii—Yb1—B1xix78.016 (12)B1xiii—Yb1—B1xx66.070 (18)
B1iii—Yb1—B1xx113.930 (18)B1xiii—Yb1—B1xxi142.407 (19)
B1iii—Yb1—B1xxi101.984 (12)B1xiii—Yb1—B1xxii66.070 (18)
B1iii—Yb1—B1xxii66.070 (18)B1xiii—Yb1—B1xxiii37.593 (19)
B1iii—Yb1—B1xxiii78.016 (12)B1xiii—Yb1—B1xxiv113.930 (18)
B1iii—Yb1—B1xxiv113.930 (18)B1xiv—Yb1—B1xv35.78 (3)
B1iv—Yb1—B1v90.00 (3)B1xiv—Yb1—B1xvi180.0 (5)
B1iv—Yb1—B1vi54.22 (3)B1xiv—Yb1—B1xvii113.930 (18)
B1iv—Yb1—B1vii90.00 (3)B1xiv—Yb1—B1xviii78.016 (12)
B1iv—Yb1—B1viii125.78 (3)B1xiv—Yb1—B1xix66.070 (18)
B1iv—Yb1—B1ix101.984 (12)B1xiv—Yb1—B1xx101.984 (12)
B1iv—Yb1—B1x66.070 (18)B1xiv—Yb1—B1xxi66.070 (18)
B1iv—Yb1—B1xi78.016 (12)B1xiv—Yb1—B1xxii101.984 (12)
B1iv—Yb1—B1xii113.930 (18)B1xiv—Yb1—B1xxiii113.930 (18)
B1iv—Yb1—B1xiii78.016 (12)B1xiv—Yb1—B1xxiv78.016 (12)
B1iv—Yb1—B1xiv113.930 (18)B1xv—Yb1—B1xvi144.22 (3)
B1iv—Yb1—B1xv101.984 (12)B1xv—Yb1—B1xvii142.407 (19)
B1iv—Yb1—B1xvi66.070 (18)B1xv—Yb1—B1xviii66.070 (18)
B1iv—Yb1—B1xvii66.070 (18)B1xv—Yb1—B1xix37.593 (19)
B1iv—Yb1—B1xviii142.407 (19)B1xv—Yb1—B1xx113.930 (18)
B1iv—Yb1—B1xix113.930 (18)B1xv—Yb1—B1xxi37.593 (19)
B1iv—Yb1—B1xx37.593 (19)B1xv—Yb1—B1xxii113.930 (18)
B1iv—Yb1—B1xxi66.070 (18)B1xv—Yb1—B1xxiii142.407 (19)
B1iv—Yb1—B1xxii142.407 (19)B1xv—Yb1—B1xxiv66.070 (18)
B1iv—Yb1—B1xxiii113.930 (18)B1xvi—Yb1—B1xvii66.070 (18)
B1iv—Yb1—B1xxiv37.593 (19)B1xvi—Yb1—B1xviii101.984 (12)
B1v—Yb1—B1vi144.22 (3)B1xvi—Yb1—B1xix113.930 (18)
B1v—Yb1—B1vii180.0 (5)B1xvi—Yb1—B1xx78.016 (12)
B1v—Yb1—B1viii35.78 (3)B1xvi—Yb1—B1xxi113.930 (18)
B1v—Yb1—B1ix113.930 (18)B1xvi—Yb1—B1xxii78.016 (12)
B1v—Yb1—B1x37.593 (19)B1xvi—Yb1—B1xxiii66.070 (18)
B1v—Yb1—B1xi66.070 (18)B1xvi—Yb1—B1xxiv101.984 (12)
B1v—Yb1—B1xii142.407 (19)B1xvii—Yb1—B1xviii144.22 (3)
B1v—Yb1—B1xiii66.070 (18)B1xvii—Yb1—B1xix180.0 (5)
B1v—Yb1—B1xiv142.407 (19)B1xvii—Yb1—B1xx35.78 (3)
B1v—Yb1—B1xv113.930 (18)B1xvii—Yb1—B1xxi125.78 (3)
B1v—Yb1—B1xvi37.593 (19)B1xvii—Yb1—B1xxii90.00 (3)
B1v—Yb1—B1xvii101.984 (12)B1xvii—Yb1—B1xxiii54.22 (3)
B1v—Yb1—B1xviii66.070 (18)B1xvii—Yb1—B1xxiv90.00 (3)
B1v—Yb1—B1xix78.016 (12)B1xviii—Yb1—B1xix35.78 (3)
B1v—Yb1—B1xx113.930 (18)B1xviii—Yb1—B1xx180.0 (5)
B1v—Yb1—B1xxi101.984 (12)B1xviii—Yb1—B1xxi90.00 (3)
B1v—Yb1—B1xxii66.070 (18)B1xviii—Yb1—B1xxii54.22 (3)
B1v—Yb1—B1xxiii78.016 (12)B1xviii—Yb1—B1xxiii90.00 (3)
B1v—Yb1—B1xxiv113.930 (18)B1xviii—Yb1—B1xxiv125.78 (3)
B1vi—Yb1—B1vii35.78 (3)B1xix—Yb1—B1xx144.22 (3)
B1vi—Yb1—B1viii180.0 (5)B1xix—Yb1—B1xxi54.22 (3)
B1vi—Yb1—B1ix78.016 (12)B1xix—Yb1—B1xxii90.00 (3)
B1vi—Yb1—B1x113.930 (18)B1xix—Yb1—B1xxiii125.78 (3)
B1vi—Yb1—B1xi101.984 (12)B1xix—Yb1—B1xxiv90.00 (3)
B1vi—Yb1—B1xii66.070 (18)B1xx—Yb1—B1xxi90.00 (3)
B1vi—Yb1—B1xiii101.984 (12)B1xx—Yb1—B1xxii125.78 (3)
B1vi—Yb1—B1xiv66.070 (18)B1xx—Yb1—B1xxiii90.00 (3)
B1vi—Yb1—B1xv78.016 (12)B1xx—Yb1—B1xxiv54.22 (3)
B1vi—Yb1—B1xvi113.930 (18)B1xxi—Yb1—B1xxii144.22 (3)
B1vi—Yb1—B1xvii66.070 (18)B1xxi—Yb1—B1xxiii180.0 (5)
B1vi—Yb1—B1xviii142.407 (19)B1xxi—Yb1—B1xxiv35.78 (3)
B1vi—Yb1—B1xix113.930 (18)B1xxii—Yb1—B1xxiii35.78 (3)
B1vi—Yb1—B1xx37.593 (19)B1xxii—Yb1—B1xxiv180.0 (5)
B1vi—Yb1—B1xxi66.070 (18)B1xxiii—Yb1—B1xxiv144.22 (3)
B1vi—Yb1—B1xxii142.407 (19)Yb1xxx—B1—Yb1xxxi144.22 (4)
B1vi—Yb1—B1xxiii113.930 (18)Yb1xxx—B1—B1xxv72.11 (5)
B1vi—Yb1—B1xxiv37.593 (19)Yb1xxx—B1—B1xxvi62.89 (3)
B1vii—Yb1—B1viii144.22 (3)Yb1xxx—B1—B1xxvii152.89 (5)
B1vii—Yb1—B1ix66.070 (18)Yb1xxx—B1—B1xxviii71.20 (4)
B1vii—Yb1—B1x142.407 (19)Yb1xxx—B1—B1xv71.20 (4)
B1vii—Yb1—B1xi113.930 (18)Yb1xxx—B1—B1xxix129.01 (4)
B1vii—Yb1—B1xii37.593 (19)Yb1xxx—B1—B1xxi129.01 (4)
B1vii—Yb1—B1xiii113.930 (18)Yb1xxxi—B1—B1xxv72.11 (5)
B1vii—Yb1—B1xiv37.593 (19)Yb1xxxi—B1—B1xxvi152.89 (5)
B1vii—Yb1—B1xv66.070 (18)Yb1xxxi—B1—B1xxvii62.89 (3)
B1vii—Yb1—B1xvi142.407 (19)Yb1xxxi—B1—B1xxviii129.01 (4)
B1vii—Yb1—B1xvii78.016 (12)Yb1xxxi—B1—B1xv129.01 (4)
B1vii—Yb1—B1xviii113.930 (18)Yb1xxxi—B1—B1xxix71.20 (4)
B1vii—Yb1—B1xix101.984 (12)Yb1xxxi—B1—B1xxi71.20 (4)
B1vii—Yb1—B1xx66.070 (18)B1xxv—B1—B1xxvi135.00 (7)
B1vii—Yb1—B1xxi78.016 (12)B1xxv—B1—B1xxvii135.00 (7)
B1vii—Yb1—B1xxii113.930 (18)B1xxv—B1—B1xxviii120.00 (5)
B1vii—Yb1—B1xxiii101.984 (12)B1xxv—B1—B1xv120.00 (5)
B1vii—Yb1—B1xxiv66.070 (18)B1xxv—B1—B1xxix120.00 (5)
B1viii—Yb1—B1ix101.984 (12)B1xxv—B1—B1xxi120.00 (5)
B1viii—Yb1—B1x66.070 (18)B1xxvi—B1—B1xxvii90.00 (4)
B1viii—Yb1—B1xi78.016 (12)B1xxvi—B1—B1xxviii45.00 (3)
B1viii—Yb1—B1xii113.930 (18)B1xxvi—B1—B1xv45.00 (3)
B1viii—Yb1—B1xiii78.016 (12)B1xxvi—B1—B1xxix90.00 (5)
B1viii—Yb1—B1xiv113.930 (18)B1xxvi—B1—B1xxi90.00 (5)
B1viii—Yb1—B1xv101.984 (12)B1xxvii—B1—B1xxviii90.00 (5)
B1viii—Yb1—B1xvi66.070 (18)B1xxvii—B1—B1xv90.00 (5)
B1viii—Yb1—B1xvii113.930 (18)B1xxvii—B1—B1xxix45.00 (3)
B1viii—Yb1—B1xviii37.593 (19)B1xxvii—B1—B1xxi45.00 (3)
B1viii—Yb1—B1xix66.070 (18)B1xxviii—B1—B1xv90.00 (5)
B1viii—Yb1—B1xx142.407 (19)B1xxviii—B1—B1xxix60.00 (4)
B1viii—Yb1—B1xxi113.930 (18)B1xxviii—B1—B1xxi120.00 (7)
B1viii—Yb1—B1xxii37.593 (19)B1xv—B1—B1xxix120.00 (7)
B1viii—Yb1—B1xxiii66.070 (18)B1xv—B1—B1xxi60.00 (4)
B1viii—Yb1—B1xxiv142.407 (19)B1xxix—B1—B1xxi90.00 (5)
Symmetry codes: (i) x, y1/2, z1/2; (ii) x1/2, y, z1/2; (iii) x, y+1/2, z1/2; (iv) x+1/2, y, z1/2; (v) x, y1/2, z+1/2; (vi) x+1/2, y, z+1/2; (vii) x, y+1/2, z+1/2; (viii) x1/2, y, z+1/2; (ix) z1/2, x, y1/2; (x) z1/2, x1/2, y; (xi) z1/2, x, y+1/2; (xii) z1/2, x+1/2, y; (xiii) z+1/2, x, y1/2; (xiv) z+1/2, x+1/2, y; (xv) z+1/2, x, y+1/2; (xvi) z+1/2, x1/2, y; (xvii) y, z1/2, x1/2; (xviii) y1/2, z1/2, x; (xix) y, z1/2, x+1/2; (xx) y+1/2, z1/2, x; (xxi) y, z+1/2, x+1/2; (xxii) y1/2, z+1/2, x; (xxiii) y, z+1/2, x1/2; (xxiv) y+1/2, z+1/2, x; (xxv) x+1/2, y+1/2, z; (xxvi) x, y, z+1; (xxvii) x, y, z+1; (xxviii) z1/2, x, y+1/2; (xxix) y, z1/2, x+1/2; (xxx) x, y+1/2, z+1/2; (xxxi) x+1/2, y, z+1/2.
(140K) top
Crystal data top
B12YbDx = 4.847 Mg m3
Mr = 302.8Mo Kα radiation, λ = 0.71073 Å
Cubic, Fm3mCell parameters from 7464 reflections
Hall symbol: -F 4 2 3θ = 4.7–73.8°
a = 7.4585 (2) ŵ = 22.35 mm1
V = 414.91 (2) Å3T = 140 K
Z = 4Plate, black
F(000) = 5200.39 × 0.30 × 0.11 mm
Data collection top
Xcalibur, EosS2 with high theta cut
diffractometer
267 independent reflections
Radiation source: X-ray tube267 reflections with I > 3σ(I)
Graphite monochromatorRint = 0.044
Detector resolution: 16.1745 pixels mm-1θmax = 74.2°, θmin = 4.7°
ω scansh = 1817
Absorption correction: analytical
CrysAlisPro 1.171.39.46 (Rigaku Oxford Diffraction, 2018) Analytical numeric absorption correction using a multifaceted crystal model based on expressions derived by R.C. Clark & J.S. Reid. (Clark, R. C. & Reid, J. S. (1995). Acta Cryst. A51, 887-897) Empirical absorption correction using spherical harmonics, implemented in SCALE3 ABSPACK scaling algorithm.
k = 2019
Tmin = 0.019, Tmax = 0.221l = 2020
10723 measured reflections
Refinement top
Refinement on F0 constraints
R[F2 > 2σ(F2)] = 0.012Weighting scheme based on measured s.u.'s w = 1/(σ2(F) + 0.000256F2)
wR(F2) = 0.016(Δ/σ)max = 0.027
S = 1.03Δρmax = 1.51 e Å3
267 reflectionsΔρmin = 1.17 e Å3
7 parametersExtinction correction: B-C type 1 Lorentzian isotropic (Becker & Coppens, 1974)
0 restraintsExtinction coefficient: 7300 (300)
Fractional atomic coordinates and isotropic or equivalent isotropic displacement parameters (Å2) top
xyzUiso*/Ueq
Yb10000.00169 (2)
B10.16926 (13)0.16926 (13)0.50.00376 (13)
Atomic displacement parameters (Å2) top
U11U22U33U12U13U23
Yb10.00169 (4)0.00169 (4)0.00169 (4)000
B10.00395 (18)0.00395 (18)0.0034 (3)0.0010 (2)00
Geometric parameters (Å, º) top
Yb1—B1i2.7711 (10)Yb1—B1xvii2.7711 (10)
Yb1—B1ii2.7711 (10)Yb1—B1xviii2.7711 (10)
Yb1—B1iii2.7711 (10)Yb1—B1xix2.7711 (10)
Yb1—B1iv2.7711 (10)Yb1—B1xx2.7711 (10)
Yb1—B1v2.7711 (10)Yb1—B1xxi2.7711 (10)
Yb1—B1vi2.7711 (10)Yb1—B1xxii2.7711 (10)
Yb1—B1vii2.7711 (10)Yb1—B1xxiii2.7711 (10)
Yb1—B1viii2.7711 (10)Yb1—B1xxiv2.7711 (10)
Yb1—B1ix2.7711 (10)B1—B1xxv1.7033 (14)
Yb1—B1x2.7711 (10)B1—B1xxvi2.5248 (14)
Yb1—B1xi2.7711 (10)B1—B1xxvii2.5248 (14)
Yb1—B1xii2.7711 (10)B1—B1xxviii1.7853 (10)
Yb1—B1xiii2.7711 (10)B1—B1xv1.7853 (10)
Yb1—B1xiv2.7711 (10)B1—B1xxix1.7853 (10)
Yb1—B1xv2.7711 (10)B1—B1xxi1.7853 (10)
Yb1—B1xvi2.7711 (10)
B1i—Yb1—B1ii144.20 (3)B1ix—Yb1—B1x144.20 (3)
B1i—Yb1—B1iii180.0 (5)B1ix—Yb1—B1xi180.0 (5)
B1i—Yb1—B1iv35.80 (3)B1ix—Yb1—B1xii35.80 (3)
B1i—Yb1—B1v54.20 (3)B1ix—Yb1—B1xiii54.20 (3)
B1i—Yb1—B1vi90.00 (3)B1ix—Yb1—B1xiv90.00 (3)
B1i—Yb1—B1vii125.80 (3)B1ix—Yb1—B1xv125.80 (3)
B1i—Yb1—B1viii90.00 (3)B1ix—Yb1—B1xvi90.00 (3)
B1i—Yb1—B1ix113.925 (18)B1ix—Yb1—B1xvii37.584 (19)
B1i—Yb1—B1x37.584 (19)B1ix—Yb1—B1xviii113.925 (18)
B1i—Yb1—B1xi66.075 (18)B1ix—Yb1—B1xix142.416 (19)
B1i—Yb1—B1xii142.416 (19)B1ix—Yb1—B1xx66.075 (18)
B1i—Yb1—B1xiii66.075 (18)B1ix—Yb1—B1xxi142.416 (19)
B1i—Yb1—B1xiv142.416 (19)B1ix—Yb1—B1xxii66.075 (18)
B1i—Yb1—B1xv113.925 (18)B1ix—Yb1—B1xxiii37.584 (19)
B1i—Yb1—B1xvi37.584 (19)B1ix—Yb1—B1xxiv113.925 (18)
B1i—Yb1—B1xvii78.022 (12)B1x—Yb1—B1xi35.80 (3)
B1i—Yb1—B1xviii113.925 (18)B1x—Yb1—B1xii180.0 (5)
B1i—Yb1—B1xix101.978 (12)B1x—Yb1—B1xiii90.00 (3)
B1i—Yb1—B1xx66.075 (18)B1x—Yb1—B1xiv125.80 (3)
B1i—Yb1—B1xxi78.022 (12)B1x—Yb1—B1xv90.00 (3)
B1i—Yb1—B1xxii113.925 (18)B1x—Yb1—B1xvi54.20 (3)
B1i—Yb1—B1xxiii101.978 (12)B1x—Yb1—B1xvii113.925 (18)
B1i—Yb1—B1xxiv66.075 (18)B1x—Yb1—B1xviii78.022 (12)
B1ii—Yb1—B1iii35.80 (3)B1x—Yb1—B1xix66.075 (18)
B1ii—Yb1—B1iv180.0 (5)B1x—Yb1—B1xx101.978 (12)
B1ii—Yb1—B1v90.00 (3)B1x—Yb1—B1xxi66.075 (18)
B1ii—Yb1—B1vi125.80 (3)B1x—Yb1—B1xxii101.978 (12)
B1ii—Yb1—B1vii90.00 (3)B1x—Yb1—B1xxiii113.925 (18)
B1ii—Yb1—B1viii54.20 (3)B1x—Yb1—B1xxiv78.022 (12)
B1ii—Yb1—B1ix78.022 (12)B1xi—Yb1—B1xii144.20 (3)
B1ii—Yb1—B1x113.925 (18)B1xi—Yb1—B1xiii125.80 (3)
B1ii—Yb1—B1xi101.978 (12)B1xi—Yb1—B1xiv90.00 (3)
B1ii—Yb1—B1xii66.075 (18)B1xi—Yb1—B1xv54.20 (3)
B1ii—Yb1—B1xiii101.978 (12)B1xi—Yb1—B1xvi90.00 (3)
B1ii—Yb1—B1xiv66.075 (18)B1xi—Yb1—B1xvii142.416 (19)
B1ii—Yb1—B1xv78.022 (12)B1xi—Yb1—B1xviii66.075 (18)
B1ii—Yb1—B1xvi113.925 (18)B1xi—Yb1—B1xix37.584 (19)
B1ii—Yb1—B1xvii113.925 (18)B1xi—Yb1—B1xx113.925 (18)
B1ii—Yb1—B1xviii37.584 (19)B1xi—Yb1—B1xxi37.584 (19)
B1ii—Yb1—B1xix66.075 (18)B1xi—Yb1—B1xxii113.925 (18)
B1ii—Yb1—B1xx142.416 (19)B1xi—Yb1—B1xxiii142.416 (19)
B1ii—Yb1—B1xxi113.925 (18)B1xi—Yb1—B1xxiv66.075 (18)
B1ii—Yb1—B1xxii37.584 (19)B1xii—Yb1—B1xiii90.00 (3)
B1ii—Yb1—B1xxiii66.075 (18)B1xii—Yb1—B1xiv54.20 (3)
B1ii—Yb1—B1xxiv142.416 (19)B1xii—Yb1—B1xv90.00 (3)
B1iii—Yb1—B1iv144.20 (3)B1xii—Yb1—B1xvi125.80 (3)
B1iii—Yb1—B1v125.80 (3)B1xii—Yb1—B1xvii66.075 (18)
B1iii—Yb1—B1vi90.00 (3)B1xii—Yb1—B1xviii101.978 (12)
B1iii—Yb1—B1vii54.20 (3)B1xii—Yb1—B1xix113.925 (18)
B1iii—Yb1—B1viii90.00 (3)B1xii—Yb1—B1xx78.022 (12)
B1iii—Yb1—B1ix66.075 (18)B1xii—Yb1—B1xxi113.925 (18)
B1iii—Yb1—B1x142.416 (19)B1xii—Yb1—B1xxii78.022 (12)
B1iii—Yb1—B1xi113.925 (18)B1xii—Yb1—B1xxiii66.075 (18)
B1iii—Yb1—B1xii37.584 (19)B1xii—Yb1—B1xxiv101.978 (12)
B1iii—Yb1—B1xiii113.925 (18)B1xiii—Yb1—B1xiv144.20 (3)
B1iii—Yb1—B1xiv37.584 (19)B1xiii—Yb1—B1xv180.0 (5)
B1iii—Yb1—B1xv66.075 (18)B1xiii—Yb1—B1xvi35.80 (3)
B1iii—Yb1—B1xvi142.416 (19)B1xiii—Yb1—B1xvii37.584 (19)
B1iii—Yb1—B1xvii101.978 (12)B1xiii—Yb1—B1xviii113.925 (18)
B1iii—Yb1—B1xviii66.075 (18)B1xiii—Yb1—B1xix142.416 (19)
B1iii—Yb1—B1xix78.022 (12)B1xiii—Yb1—B1xx66.075 (18)
B1iii—Yb1—B1xx113.925 (18)B1xiii—Yb1—B1xxi142.416 (19)
B1iii—Yb1—B1xxi101.978 (12)B1xiii—Yb1—B1xxii66.075 (18)
B1iii—Yb1—B1xxii66.075 (18)B1xiii—Yb1—B1xxiii37.584 (19)
B1iii—Yb1—B1xxiii78.022 (12)B1xiii—Yb1—B1xxiv113.925 (18)
B1iii—Yb1—B1xxiv113.925 (18)B1xiv—Yb1—B1xv35.80 (3)
B1iv—Yb1—B1v90.00 (3)B1xiv—Yb1—B1xvi180.0 (5)
B1iv—Yb1—B1vi54.20 (3)B1xiv—Yb1—B1xvii113.925 (18)
B1iv—Yb1—B1vii90.00 (3)B1xiv—Yb1—B1xviii78.022 (12)
B1iv—Yb1—B1viii125.80 (3)B1xiv—Yb1—B1xix66.075 (18)
B1iv—Yb1—B1ix101.978 (12)B1xiv—Yb1—B1xx101.978 (12)
B1iv—Yb1—B1x66.075 (18)B1xiv—Yb1—B1xxi66.075 (18)
B1iv—Yb1—B1xi78.022 (12)B1xiv—Yb1—B1xxii101.978 (12)
B1iv—Yb1—B1xii113.925 (18)B1xiv—Yb1—B1xxiii113.925 (18)
B1iv—Yb1—B1xiii78.022 (12)B1xiv—Yb1—B1xxiv78.022 (12)
B1iv—Yb1—B1xiv113.925 (18)B1xv—Yb1—B1xvi144.20 (3)
B1iv—Yb1—B1xv101.978 (12)B1xv—Yb1—B1xvii142.416 (19)
B1iv—Yb1—B1xvi66.075 (18)B1xv—Yb1—B1xviii66.075 (18)
B1iv—Yb1—B1xvii66.075 (18)B1xv—Yb1—B1xix37.584 (19)
B1iv—Yb1—B1xviii142.416 (19)B1xv—Yb1—B1xx113.925 (18)
B1iv—Yb1—B1xix113.925 (18)B1xv—Yb1—B1xxi37.584 (19)
B1iv—Yb1—B1xx37.584 (19)B1xv—Yb1—B1xxii113.925 (18)
B1iv—Yb1—B1xxi66.075 (18)B1xv—Yb1—B1xxiii142.416 (19)
B1iv—Yb1—B1xxii142.416 (19)B1xv—Yb1—B1xxiv66.075 (18)
B1iv—Yb1—B1xxiii113.925 (18)B1xvi—Yb1—B1xvii66.075 (18)
B1iv—Yb1—B1xxiv37.584 (19)B1xvi—Yb1—B1xviii101.978 (12)
B1v—Yb1—B1vi144.20 (3)B1xvi—Yb1—B1xix113.925 (18)
B1v—Yb1—B1vii180.0 (5)B1xvi—Yb1—B1xx78.022 (12)
B1v—Yb1—B1viii35.80 (3)B1xvi—Yb1—B1xxi113.925 (18)
B1v—Yb1—B1ix113.925 (18)B1xvi—Yb1—B1xxii78.022 (12)
B1v—Yb1—B1x37.584 (19)B1xvi—Yb1—B1xxiii66.075 (18)
B1v—Yb1—B1xi66.075 (18)B1xvi—Yb1—B1xxiv101.978 (12)
B1v—Yb1—B1xii142.416 (19)B1xvii—Yb1—B1xviii144.20 (3)
B1v—Yb1—B1xiii66.075 (18)B1xvii—Yb1—B1xix180.0 (5)
B1v—Yb1—B1xiv142.416 (19)B1xvii—Yb1—B1xx35.80 (3)
B1v—Yb1—B1xv113.925 (18)B1xvii—Yb1—B1xxi125.80 (3)
B1v—Yb1—B1xvi37.584 (19)B1xvii—Yb1—B1xxii90.00 (3)
B1v—Yb1—B1xvii101.978 (12)B1xvii—Yb1—B1xxiii54.20 (3)
B1v—Yb1—B1xviii66.075 (18)B1xvii—Yb1—B1xxiv90.00 (3)
B1v—Yb1—B1xix78.022 (12)B1xviii—Yb1—B1xix35.80 (3)
B1v—Yb1—B1xx113.925 (18)B1xviii—Yb1—B1xx180.0 (5)
B1v—Yb1—B1xxi101.978 (12)B1xviii—Yb1—B1xxi90.00 (3)
B1v—Yb1—B1xxii66.075 (18)B1xviii—Yb1—B1xxii54.20 (3)
B1v—Yb1—B1xxiii78.022 (12)B1xviii—Yb1—B1xxiii90.00 (3)
B1v—Yb1—B1xxiv113.925 (18)B1xviii—Yb1—B1xxiv125.80 (3)
B1vi—Yb1—B1vii35.80 (3)B1xix—Yb1—B1xx144.20 (3)
B1vi—Yb1—B1viii180.0 (5)B1xix—Yb1—B1xxi54.20 (3)
B1vi—Yb1—B1ix78.022 (12)B1xix—Yb1—B1xxii90.00 (3)
B1vi—Yb1—B1x113.925 (18)B1xix—Yb1—B1xxiii125.80 (3)
B1vi—Yb1—B1xi101.978 (12)B1xix—Yb1—B1xxiv90.00 (3)
B1vi—Yb1—B1xii66.075 (18)B1xx—Yb1—B1xxi90.00 (3)
B1vi—Yb1—B1xiii101.978 (12)B1xx—Yb1—B1xxii125.80 (3)
B1vi—Yb1—B1xiv66.075 (18)B1xx—Yb1—B1xxiii90.00 (3)
B1vi—Yb1—B1xv78.022 (12)B1xx—Yb1—B1xxiv54.20 (3)
B1vi—Yb1—B1xvi113.925 (18)B1xxi—Yb1—B1xxii144.20 (3)
B1vi—Yb1—B1xvii66.075 (18)B1xxi—Yb1—B1xxiii180.0 (5)
B1vi—Yb1—B1xviii142.416 (19)B1xxi—Yb1—B1xxiv35.80 (3)
B1vi—Yb1—B1xix113.925 (18)B1xxii—Yb1—B1xxiii35.80 (3)
B1vi—Yb1—B1xx37.584 (19)B1xxii—Yb1—B1xxiv180.0 (5)
B1vi—Yb1—B1xxi66.075 (18)B1xxiii—Yb1—B1xxiv144.20 (3)
B1vi—Yb1—B1xxii142.416 (19)Yb1xxx—B1—Yb1xxxi144.20 (4)
B1vi—Yb1—B1xxiii113.925 (18)Yb1xxx—B1—B1xxv72.10 (5)
B1vi—Yb1—B1xxiv37.584 (19)Yb1xxx—B1—B1xxvi62.90 (3)
B1vii—Yb1—B1viii144.20 (3)Yb1xxx—B1—B1xxvii152.90 (5)
B1vii—Yb1—B1ix66.075 (18)Yb1xxx—B1—B1xxviii71.21 (4)
B1vii—Yb1—B1x142.416 (19)Yb1xxx—B1—B1xv71.21 (4)
B1vii—Yb1—B1xi113.925 (18)Yb1xxx—B1—B1xxix129.01 (4)
B1vii—Yb1—B1xii37.584 (19)Yb1xxx—B1—B1xxi129.01 (4)
B1vii—Yb1—B1xiii113.925 (18)Yb1xxxi—B1—B1xxv72.10 (5)
B1vii—Yb1—B1xiv37.584 (19)Yb1xxxi—B1—B1xxvi152.90 (5)
B1vii—Yb1—B1xv66.075 (18)Yb1xxxi—B1—B1xxvii62.90 (3)
B1vii—Yb1—B1xvi142.416 (19)Yb1xxxi—B1—B1xxviii129.01 (4)
B1vii—Yb1—B1xvii78.022 (12)Yb1xxxi—B1—B1xv129.01 (4)
B1vii—Yb1—B1xviii113.925 (18)Yb1xxxi—B1—B1xxix71.21 (4)
B1vii—Yb1—B1xix101.978 (12)Yb1xxxi—B1—B1xxi71.21 (4)
B1vii—Yb1—B1xx66.075 (18)B1xxv—B1—B1xxvi135.00 (6)
B1vii—Yb1—B1xxi78.022 (12)B1xxv—B1—B1xxvii135.00 (6)
B1vii—Yb1—B1xxii113.925 (18)B1xxv—B1—B1xxviii120.00 (5)
B1vii—Yb1—B1xxiii101.978 (12)B1xxv—B1—B1xv120.00 (5)
B1vii—Yb1—B1xxiv66.075 (18)B1xxv—B1—B1xxix120.00 (5)
B1viii—Yb1—B1ix101.978 (12)B1xxv—B1—B1xxi120.00 (5)
B1viii—Yb1—B1x66.075 (18)B1xxvi—B1—B1xxvii90.00 (4)
B1viii—Yb1—B1xi78.022 (12)B1xxvi—B1—B1xxviii45.00 (3)
B1viii—Yb1—B1xii113.925 (18)B1xxvi—B1—B1xv45.00 (3)
B1viii—Yb1—B1xiii78.022 (12)B1xxvi—B1—B1xxix90.00 (5)
B1viii—Yb1—B1xiv113.925 (18)B1xxvi—B1—B1xxi90.00 (5)
B1viii—Yb1—B1xv101.978 (12)B1xxvii—B1—B1xxviii90.00 (5)
B1viii—Yb1—B1xvi66.075 (18)B1xxvii—B1—B1xv90.00 (5)
B1viii—Yb1—B1xvii113.925 (18)B1xxvii—B1—B1xxix45.00 (3)
B1viii—Yb1—B1xviii37.584 (19)B1xxvii—B1—B1xxi45.00 (3)
B1viii—Yb1—B1xix66.075 (18)B1xxviii—B1—B1xv90.00 (5)
B1viii—Yb1—B1xx142.416 (19)B1xxviii—B1—B1xxix60.00 (4)
B1viii—Yb1—B1xxi113.925 (18)B1xxviii—B1—B1xxi120.00 (7)
B1viii—Yb1—B1xxii37.584 (19)B1xv—B1—B1xxix120.00 (7)
B1viii—Yb1—B1xxiii66.075 (18)B1xv—B1—B1xxi60.00 (4)
B1viii—Yb1—B1xxiv142.416 (19)B1xxix—B1—B1xxi90.00 (5)
Symmetry codes: (i) x, y1/2, z1/2; (ii) x1/2, y, z1/2; (iii) x, y+1/2, z1/2; (iv) x+1/2, y, z1/2; (v) x, y1/2, z+1/2; (vi) x+1/2, y, z+1/2; (vii) x, y+1/2, z+1/2; (viii) x1/2, y, z+1/2; (ix) z1/2, x, y1/2; (x) z1/2, x1/2, y; (xi) z1/2, x, y+1/2; (xii) z1/2, x+1/2, y; (xiii) z+1/2, x, y1/2; (xiv) z+1/2, x+1/2, y; (xv) z+1/2, x, y+1/2; (xvi) z+1/2, x1/2, y; (xvii) y, z1/2, x1/2; (xviii) y1/2, z1/2, x; (xix) y, z1/2, x+1/2; (xx) y+1/2, z1/2, x; (xxi) y, z+1/2, x+1/2; (xxii) y1/2, z+1/2, x; (xxiii) y, z+1/2, x1/2; (xxiv) y+1/2, z+1/2, x; (xxv) x+1/2, y+1/2, z; (xxvi) x, y, z+1; (xxvii) x, y, z+1; (xxviii) z1/2, x, y+1/2; (xxix) y, z1/2, x+1/2; (xxx) x, y+1/2, z+1/2; (xxxi) x+1/2, y, z+1/2.
(160K) top
Crystal data top
B12YbDx = 4.844 Mg m3
Mr = 302.8Mo Kα radiation, λ = 0.71073 Å
Cubic, Fm3mCell parameters from 7456 reflections
Hall symbol: -F 4 2 3θ = 4.7–73.8°
a = 7.4599 (2) ŵ = 22.35 mm1
V = 415.14 (2) Å3T = 160 K
Z = 4Plate, black
F(000) = 5200.39 × 0.30 × 0.11 mm
Data collection top
Xcalibur, EosS2 with high theta cut
diffractometer
267 independent reflections
Radiation source: X-ray tube267 reflections with I > 3σ(I)
Graphite monochromatorRint = 0.041
Detector resolution: 16.1745 pixels mm-1θmax = 74.2°, θmin = 4.7°
ω scansh = 1817
Absorption correction: analytical
CrysAlisPro 1.171.39.46 (Rigaku Oxford Diffraction, 2018) Analytical numeric absorption correction using a multifaceted crystal model based on expressions derived by R.C. Clark & J.S. Reid. (Clark, R. C. & Reid, J. S. (1995). Acta Cryst. A51, 887-897) Empirical absorption correction using spherical harmonics, implemented in SCALE3 ABSPACK scaling algorithm.
k = 1919
Tmin = 0.019, Tmax = 0.221l = 2020
10675 measured reflections
Refinement top
Refinement on F0 constraints
R[F2 > 2σ(F2)] = 0.011Weighting scheme based on measured s.u.'s w = 1/(σ2(F) + 0.000169F2)
wR(F2) = 0.014(Δ/σ)max = 0.005
S = 1.08Δρmax = 1.08 e Å3
267 reflectionsΔρmin = 1.50 e Å3
7 parametersExtinction correction: B-C type 1 Lorentzian isotropic (Becker & Coppens, 1974)
0 restraintsExtinction coefficient: 8000 (200)
Fractional atomic coordinates and isotropic or equivalent isotropic displacement parameters (Å2) top
xyzUiso*/Ueq
Yb10000.00186 (2)
B10.16924 (11)0.16924 (11)0.50.00384 (11)
Atomic displacement parameters (Å2) top
U11U22U33U12U13U23
Yb10.00186 (4)0.00186 (4)0.00186 (4)000
B10.00409 (15)0.00409 (15)0.0033 (2)0.0010 (2)00
Geometric parameters (Å, º) top
Yb1—B1i2.7717 (8)Yb1—B1xvii2.7717 (8)
Yb1—B1ii2.7717 (8)Yb1—B1xviii2.7717 (8)
Yb1—B1iii2.7717 (8)Yb1—B1xix2.7717 (8)
Yb1—B1iv2.7717 (8)Yb1—B1xx2.7717 (8)
Yb1—B1v2.7717 (8)Yb1—B1xxi2.7717 (8)
Yb1—B1vi2.7717 (8)Yb1—B1xxii2.7717 (8)
Yb1—B1vii2.7717 (8)Yb1—B1xxiii2.7717 (8)
Yb1—B1viii2.7717 (8)Yb1—B1xxiv2.7717 (8)
Yb1—B1ix2.7717 (8)B1—B1xxv1.7040 (12)
Yb1—B1x2.7717 (8)B1—B1xxvi2.5251 (12)
Yb1—B1xi2.7717 (8)B1—B1xxvii2.5251 (12)
Yb1—B1xii2.7717 (8)B1—B1xxviii1.7855 (8)
Yb1—B1xiii2.7717 (8)B1—B1xv1.7855 (8)
Yb1—B1xiv2.7717 (8)B1—B1xxix1.7855 (8)
Yb1—B1xv2.7717 (8)B1—B1xxi1.7855 (8)
Yb1—B1xvi2.7717 (8)
B1i—Yb1—B1ii144.20 (2)B1ix—Yb1—B1x144.20 (2)
B1i—Yb1—B1iii180.0 (5)B1ix—Yb1—B1xi180.0 (5)
B1i—Yb1—B1iv35.80 (2)B1ix—Yb1—B1xii35.80 (2)
B1i—Yb1—B1v54.20 (2)B1ix—Yb1—B1xiii54.20 (2)
B1i—Yb1—B1vi90.00 (2)B1ix—Yb1—B1xiv90.00 (2)
B1i—Yb1—B1vii125.80 (2)B1ix—Yb1—B1xv125.80 (2)
B1i—Yb1—B1viii90.00 (2)B1ix—Yb1—B1xvi90.00 (2)
B1i—Yb1—B1ix113.923 (15)B1ix—Yb1—B1xvii37.580 (16)
B1i—Yb1—B1x37.580 (16)B1ix—Yb1—B1xviii113.923 (15)
B1i—Yb1—B1xi66.077 (15)B1ix—Yb1—B1xix142.420 (16)
B1i—Yb1—B1xii142.420 (16)B1ix—Yb1—B1xx66.077 (15)
B1i—Yb1—B1xiii66.077 (15)B1ix—Yb1—B1xxi142.420 (16)
B1i—Yb1—B1xiv142.420 (16)B1ix—Yb1—B1xxii66.077 (15)
B1i—Yb1—B1xv113.923 (15)B1ix—Yb1—B1xxiii37.580 (16)
B1i—Yb1—B1xvi37.580 (16)B1ix—Yb1—B1xxiv113.923 (15)
B1i—Yb1—B1xvii78.024 (10)B1x—Yb1—B1xi35.80 (2)
B1i—Yb1—B1xviii113.923 (15)B1x—Yb1—B1xii180.0 (5)
B1i—Yb1—B1xix101.976 (10)B1x—Yb1—B1xiii90.00 (2)
B1i—Yb1—B1xx66.077 (15)B1x—Yb1—B1xiv125.80 (2)
B1i—Yb1—B1xxi78.024 (10)B1x—Yb1—B1xv90.00 (2)
B1i—Yb1—B1xxii113.923 (15)B1x—Yb1—B1xvi54.20 (2)
B1i—Yb1—B1xxiii101.976 (10)B1x—Yb1—B1xvii113.923 (15)
B1i—Yb1—B1xxiv66.077 (15)B1x—Yb1—B1xviii78.024 (10)
B1ii—Yb1—B1iii35.80 (2)B1x—Yb1—B1xix66.077 (15)
B1ii—Yb1—B1iv180.0 (5)B1x—Yb1—B1xx101.976 (10)
B1ii—Yb1—B1v90.00 (2)B1x—Yb1—B1xxi66.077 (15)
B1ii—Yb1—B1vi125.80 (2)B1x—Yb1—B1xxii101.976 (10)
B1ii—Yb1—B1vii90.00 (2)B1x—Yb1—B1xxiii113.923 (15)
B1ii—Yb1—B1viii54.20 (2)B1x—Yb1—B1xxiv78.024 (10)
B1ii—Yb1—B1ix78.024 (10)B1xi—Yb1—B1xii144.20 (2)
B1ii—Yb1—B1x113.923 (15)B1xi—Yb1—B1xiii125.80 (2)
B1ii—Yb1—B1xi101.976 (10)B1xi—Yb1—B1xiv90.00 (2)
B1ii—Yb1—B1xii66.077 (15)B1xi—Yb1—B1xv54.20 (2)
B1ii—Yb1—B1xiii101.976 (10)B1xi—Yb1—B1xvi90.00 (2)
B1ii—Yb1—B1xiv66.077 (15)B1xi—Yb1—B1xvii142.420 (16)
B1ii—Yb1—B1xv78.024 (10)B1xi—Yb1—B1xviii66.077 (15)
B1ii—Yb1—B1xvi113.923 (15)B1xi—Yb1—B1xix37.580 (16)
B1ii—Yb1—B1xvii113.923 (15)B1xi—Yb1—B1xx113.923 (15)
B1ii—Yb1—B1xviii37.580 (16)B1xi—Yb1—B1xxi37.580 (16)
B1ii—Yb1—B1xix66.077 (15)B1xi—Yb1—B1xxii113.923 (15)
B1ii—Yb1—B1xx142.420 (16)B1xi—Yb1—B1xxiii142.420 (16)
B1ii—Yb1—B1xxi113.923 (15)B1xi—Yb1—B1xxiv66.077 (15)
B1ii—Yb1—B1xxii37.580 (16)B1xii—Yb1—B1xiii90.00 (2)
B1ii—Yb1—B1xxiii66.077 (15)B1xii—Yb1—B1xiv54.20 (2)
B1ii—Yb1—B1xxiv142.420 (16)B1xii—Yb1—B1xv90.00 (2)
B1iii—Yb1—B1iv144.20 (2)B1xii—Yb1—B1xvi125.80 (2)
B1iii—Yb1—B1v125.80 (2)B1xii—Yb1—B1xvii66.077 (15)
B1iii—Yb1—B1vi90.00 (2)B1xii—Yb1—B1xviii101.976 (10)
B1iii—Yb1—B1vii54.20 (2)B1xii—Yb1—B1xix113.923 (15)
B1iii—Yb1—B1viii90.00 (2)B1xii—Yb1—B1xx78.024 (10)
B1iii—Yb1—B1ix66.077 (15)B1xii—Yb1—B1xxi113.923 (15)
B1iii—Yb1—B1x142.420 (16)B1xii—Yb1—B1xxii78.024 (10)
B1iii—Yb1—B1xi113.923 (15)B1xii—Yb1—B1xxiii66.077 (15)
B1iii—Yb1—B1xii37.580 (16)B1xii—Yb1—B1xxiv101.976 (10)
B1iii—Yb1—B1xiii113.923 (15)B1xiii—Yb1—B1xiv144.20 (2)
B1iii—Yb1—B1xiv37.580 (16)B1xiii—Yb1—B1xv180.0 (5)
B1iii—Yb1—B1xv66.077 (15)B1xiii—Yb1—B1xvi35.80 (2)
B1iii—Yb1—B1xvi142.420 (16)B1xiii—Yb1—B1xvii37.580 (16)
B1iii—Yb1—B1xvii101.976 (10)B1xiii—Yb1—B1xviii113.923 (15)
B1iii—Yb1—B1xviii66.077 (15)B1xiii—Yb1—B1xix142.420 (16)
B1iii—Yb1—B1xix78.024 (10)B1xiii—Yb1—B1xx66.077 (15)
B1iii—Yb1—B1xx113.923 (15)B1xiii—Yb1—B1xxi142.420 (16)
B1iii—Yb1—B1xxi101.976 (10)B1xiii—Yb1—B1xxii66.077 (15)
B1iii—Yb1—B1xxii66.077 (15)B1xiii—Yb1—B1xxiii37.580 (16)
B1iii—Yb1—B1xxiii78.024 (10)B1xiii—Yb1—B1xxiv113.923 (15)
B1iii—Yb1—B1xxiv113.923 (15)B1xiv—Yb1—B1xv35.80 (2)
B1iv—Yb1—B1v90.00 (2)B1xiv—Yb1—B1xvi180.0 (5)
B1iv—Yb1—B1vi54.20 (2)B1xiv—Yb1—B1xvii113.923 (15)
B1iv—Yb1—B1vii90.00 (2)B1xiv—Yb1—B1xviii78.024 (10)
B1iv—Yb1—B1viii125.80 (2)B1xiv—Yb1—B1xix66.077 (15)
B1iv—Yb1—B1ix101.976 (10)B1xiv—Yb1—B1xx101.976 (10)
B1iv—Yb1—B1x66.077 (15)B1xiv—Yb1—B1xxi66.077 (15)
B1iv—Yb1—B1xi78.024 (10)B1xiv—Yb1—B1xxii101.976 (10)
B1iv—Yb1—B1xii113.923 (15)B1xiv—Yb1—B1xxiii113.923 (15)
B1iv—Yb1—B1xiii78.024 (10)B1xiv—Yb1—B1xxiv78.024 (10)
B1iv—Yb1—B1xiv113.923 (15)B1xv—Yb1—B1xvi144.20 (2)
B1iv—Yb1—B1xv101.976 (10)B1xv—Yb1—B1xvii142.420 (16)
B1iv—Yb1—B1xvi66.077 (15)B1xv—Yb1—B1xviii66.077 (15)
B1iv—Yb1—B1xvii66.077 (15)B1xv—Yb1—B1xix37.580 (16)
B1iv—Yb1—B1xviii142.420 (16)B1xv—Yb1—B1xx113.923 (15)
B1iv—Yb1—B1xix113.923 (15)B1xv—Yb1—B1xxi37.580 (16)
B1iv—Yb1—B1xx37.580 (16)B1xv—Yb1—B1xxii113.923 (15)
B1iv—Yb1—B1xxi66.077 (15)B1xv—Yb1—B1xxiii142.420 (16)
B1iv—Yb1—B1xxii142.420 (16)B1xv—Yb1—B1xxiv66.077 (15)
B1iv—Yb1—B1xxiii113.923 (15)B1xvi—Yb1—B1xvii66.077 (15)
B1iv—Yb1—B1xxiv37.580 (16)B1xvi—Yb1—B1xviii101.976 (10)
B1v—Yb1—B1vi144.20 (2)B1xvi—Yb1—B1xix113.923 (15)
B1v—Yb1—B1vii180.0 (5)B1xvi—Yb1—B1xx78.024 (10)
B1v—Yb1—B1viii35.80 (2)B1xvi—Yb1—B1xxi113.923 (15)
B1v—Yb1—B1ix113.923 (15)B1xvi—Yb1—B1xxii78.024 (10)
B1v—Yb1—B1x37.580 (16)B1xvi—Yb1—B1xxiii66.077 (15)
B1v—Yb1—B1xi66.077 (15)B1xvi—Yb1—B1xxiv101.976 (10)
B1v—Yb1—B1xii142.420 (16)B1xvii—Yb1—B1xviii144.20 (2)
B1v—Yb1—B1xiii66.077 (15)B1xvii—Yb1—B1xix180.0 (5)
B1v—Yb1—B1xiv142.420 (16)B1xvii—Yb1—B1xx35.80 (2)
B1v—Yb1—B1xv113.923 (15)B1xvii—Yb1—B1xxi125.80 (2)
B1v—Yb1—B1xvi37.580 (16)B1xvii—Yb1—B1xxii90.00 (2)
B1v—Yb1—B1xvii101.976 (10)B1xvii—Yb1—B1xxiii54.20 (2)
B1v—Yb1—B1xviii66.077 (15)B1xvii—Yb1—B1xxiv90.00 (2)
B1v—Yb1—B1xix78.024 (10)B1xviii—Yb1—B1xix35.80 (2)
B1v—Yb1—B1xx113.923 (15)B1xviii—Yb1—B1xx180.0 (5)
B1v—Yb1—B1xxi101.976 (10)B1xviii—Yb1—B1xxi90.00 (2)
B1v—Yb1—B1xxii66.077 (15)B1xviii—Yb1—B1xxii54.20 (2)
B1v—Yb1—B1xxiii78.024 (10)B1xviii—Yb1—B1xxiii90.00 (2)
B1v—Yb1—B1xxiv113.923 (15)B1xviii—Yb1—B1xxiv125.80 (2)
B1vi—Yb1—B1vii35.80 (2)B1xix—Yb1—B1xx144.20 (2)
B1vi—Yb1—B1viii180.0 (5)B1xix—Yb1—B1xxi54.20 (2)
B1vi—Yb1—B1ix78.024 (10)B1xix—Yb1—B1xxii90.00 (2)
B1vi—Yb1—B1x113.923 (15)B1xix—Yb1—B1xxiii125.80 (2)
B1vi—Yb1—B1xi101.976 (10)B1xix—Yb1—B1xxiv90.00 (2)
B1vi—Yb1—B1xii66.077 (15)B1xx—Yb1—B1xxi90.00 (2)
B1vi—Yb1—B1xiii101.976 (10)B1xx—Yb1—B1xxii125.80 (2)
B1vi—Yb1—B1xiv66.077 (15)B1xx—Yb1—B1xxiii90.00 (2)
B1vi—Yb1—B1xv78.024 (10)B1xx—Yb1—B1xxiv54.20 (2)
B1vi—Yb1—B1xvi113.923 (15)B1xxi—Yb1—B1xxii144.20 (2)
B1vi—Yb1—B1xvii66.077 (15)B1xxi—Yb1—B1xxiii180.0 (5)
B1vi—Yb1—B1xviii142.420 (16)B1xxi—Yb1—B1xxiv35.80 (2)
B1vi—Yb1—B1xix113.923 (15)B1xxii—Yb1—B1xxiii35.80 (2)
B1vi—Yb1—B1xx37.580 (16)B1xxii—Yb1—B1xxiv180.0 (5)
B1vi—Yb1—B1xxi66.077 (15)B1xxiii—Yb1—B1xxiv144.20 (2)
B1vi—Yb1—B1xxii142.420 (16)Yb1xxx—B1—Yb1xxxi144.20 (3)
B1vi—Yb1—B1xxiii113.923 (15)Yb1xxx—B1—B1xxv72.10 (4)
B1vi—Yb1—B1xxiv37.580 (16)Yb1xxx—B1—B1xxvi62.90 (3)
B1vii—Yb1—B1viii144.20 (2)Yb1xxx—B1—B1xxvii152.90 (4)
B1vii—Yb1—B1ix66.077 (15)Yb1xxx—B1—B1xxviii71.21 (4)
B1vii—Yb1—B1x142.420 (16)Yb1xxx—B1—B1xv71.21 (4)
B1vii—Yb1—B1xi113.923 (15)Yb1xxx—B1—B1xxix129.01 (3)
B1vii—Yb1—B1xii37.580 (16)Yb1xxx—B1—B1xxi129.01 (3)
B1vii—Yb1—B1xiii113.923 (15)Yb1xxxi—B1—B1xxv72.10 (4)
B1vii—Yb1—B1xiv37.580 (16)Yb1xxxi—B1—B1xxvi152.90 (4)
B1vii—Yb1—B1xv66.077 (15)Yb1xxxi—B1—B1xxvii62.90 (3)
B1vii—Yb1—B1xvi142.420 (16)Yb1xxxi—B1—B1xxviii129.01 (3)
B1vii—Yb1—B1xvii78.024 (10)Yb1xxxi—B1—B1xv129.01 (3)
B1vii—Yb1—B1xviii113.923 (15)Yb1xxxi—B1—B1xxix71.21 (4)
B1vii—Yb1—B1xix101.976 (10)Yb1xxxi—B1—B1xxi71.21 (4)
B1vii—Yb1—B1xx66.077 (15)B1xxv—B1—B1xxvi135.00 (5)
B1vii—Yb1—B1xxi78.024 (10)B1xxv—B1—B1xxvii135.00 (5)
B1vii—Yb1—B1xxii113.923 (15)B1xxv—B1—B1xxviii120.00 (4)
B1vii—Yb1—B1xxiii101.976 (10)B1xxv—B1—B1xv120.00 (4)
B1vii—Yb1—B1xxiv66.077 (15)B1xxv—B1—B1xxix120.00 (4)
B1viii—Yb1—B1ix101.976 (10)B1xxv—B1—B1xxi120.00 (4)
B1viii—Yb1—B1x66.077 (15)B1xxvi—B1—B1xxvii90.00 (4)
B1viii—Yb1—B1xi78.024 (10)B1xxvi—B1—B1xxviii45.00 (3)
B1viii—Yb1—B1xii113.923 (15)B1xxvi—B1—B1xv45.00 (3)
B1viii—Yb1—B1xiii78.024 (10)B1xxvi—B1—B1xxix90.00 (4)
B1viii—Yb1—B1xiv113.923 (15)B1xxvi—B1—B1xxi90.00 (4)
B1viii—Yb1—B1xv101.976 (10)B1xxvii—B1—B1xxviii90.00 (4)
B1viii—Yb1—B1xvi66.077 (15)B1xxvii—B1—B1xv90.00 (4)
B1viii—Yb1—B1xvii113.923 (15)B1xxvii—B1—B1xxix45.00 (3)
B1viii—Yb1—B1xviii37.580 (16)B1xxvii—B1—B1xxi45.00 (3)
B1viii—Yb1—B1xix66.077 (15)B1xxviii—B1—B1xv90.00 (5)
B1viii—Yb1—B1xx142.420 (16)B1xxviii—B1—B1xxix60.00 (4)
B1viii—Yb1—B1xxi113.923 (15)B1xxviii—B1—B1xxi120.00 (6)
B1viii—Yb1—B1xxii37.580 (16)B1xv—B1—B1xxix120.00 (6)
B1viii—Yb1—B1xxiii66.077 (15)B1xv—B1—B1xxi60.00 (4)
B1viii—Yb1—B1xxiv142.420 (16)B1xxix—B1—B1xxi90.00 (5)
Symmetry codes: (i) x, y1/2, z1/2; (ii) x1/2, y, z1/2; (iii) x, y+1/2, z1/2; (iv) x+1/2, y, z1/2; (v) x, y1/2, z+1/2; (vi) x+1/2, y, z+1/2; (vii) x, y+1/2, z+1/2; (viii) x1/2, y, z+1/2; (ix) z1/2, x, y1/2; (x) z1/2, x1/2, y; (xi) z1/2, x, y+1/2; (xii) z1/2, x+1/2, y; (xiii) z+1/2, x, y1/2; (xiv) z+1/2, x+1/2, y; (xv) z+1/2, x, y+1/2; (xvi) z+1/2, x1/2, y; (xvii) y, z1/2, x1/2; (xviii) y1/2, z1/2, x; (xix) y, z1/2, x+1/2; (xx) y+1/2, z1/2, x; (xxi) y, z+1/2, x+1/2; (xxii) y1/2, z+1/2, x; (xxiii) y, z+1/2, x1/2; (xxiv) y+1/2, z+1/2, x; (xxv) x+1/2, y+1/2, z; (xxvi) x, y, z+1; (xxvii) x, y, z+1; (xxviii) z1/2, x, y+1/2; (xxix) y, z1/2, x+1/2; (xxx) x, y+1/2, z+1/2; (xxxi) x+1/2, y, z+1/2.
(200K) top
Crystal data top
B12YbDx = 4.842 Mg m3
Mr = 302.8Mo Kα radiation, λ = 0.71073 Å
Cubic, Fm3mCell parameters from 7464 reflections
Hall symbol: -F 4 2 3θ = 4.7–73.8°
a = 7.46080 (3) ŵ = 22.33 mm1
V = 415.29 (1) Å3T = 200 K
Z = 4Plate, black
F(000) = 5200.39 × 0.30 × 0.11 mm
Data collection top
Xcalibur, EosS2 with high theta cut
diffractometer
267 independent reflections
Radiation source: X-ray tube267 reflections with I > 3σ(I)
Graphite monochromatorRint = 0.043
Detector resolution: 16.1745 pixels mm-1θmax = 74.3°, θmin = 4.7°
ω scansh = 1817
Absorption correction: analytical
CrysAlisPro 1.171.39.46 (Rigaku Oxford Diffraction, 2018) Analytical numeric absorption correction using a multifaceted crystal model based on expressions derived by R.C. Clark & J.S. Reid. (Clark, R. C. & Reid, J. S. (1995). Acta Cryst. A51, 887-897) Empirical absorption correction using spherical harmonics, implemented in SCALE3 ABSPACK scaling algorithm.
k = 1919
Tmin = 0.019, Tmax = 0.221l = 2020
10670 measured reflections
Refinement top
Refinement on F0 constraints
R[F2 > 2σ(F2)] = 0.012Weighting scheme based on measured s.u.'s w = 1/(σ2(F) + 0.000225F2)
wR(F2) = 0.016(Δ/σ)max = 0.003
S = 1.08Δρmax = 1.44 e Å3
267 reflectionsΔρmin = 1.56 e Å3
7 parametersExtinction correction: B-C type 1 Lorentzian isotropic (Becker & Coppens, 1974)
0 restraintsExtinction coefficient: 9100 (300)
Fractional atomic coordinates and isotropic or equivalent isotropic displacement parameters (Å2) top
xyzUiso*/Ueq
Yb10000.00211 (3)
B10.16924 (13)0.16924 (13)0.50.00396 (12)
Atomic displacement parameters (Å2) top
U11U22U33U12U13U23
Yb10.00211 (4)0.00211 (4)0.00211 (4)000
B10.00429 (17)0.00429 (17)0.0033 (3)0.0011 (2)00
Geometric parameters (Å, º) top
Yb1—B1i2.7720 (9)Yb1—B1xvii2.7720 (9)
Yb1—B1ii2.7720 (9)Yb1—B1xviii2.7720 (9)
Yb1—B1iii2.7720 (9)Yb1—B1xix2.7720 (9)
Yb1—B1iv2.7720 (9)Yb1—B1xx2.7720 (9)
Yb1—B1v2.7720 (9)Yb1—B1xxi2.7720 (9)
Yb1—B1vi2.7720 (9)Yb1—B1xxii2.7720 (9)
Yb1—B1vii2.7720 (9)Yb1—B1xxiii2.7720 (9)
Yb1—B1viii2.7720 (9)Yb1—B1xxiv2.7720 (9)
Yb1—B1ix2.7720 (9)B1—B1xxv1.7043 (13)
Yb1—B1x2.7720 (9)B1—B1xxvi2.5253 (13)
Yb1—B1xi2.7720 (9)B1—B1xxvii2.5253 (13)
Yb1—B1xii2.7720 (9)B1—B1xxviii1.7856 (9)
Yb1—B1xiii2.7720 (9)B1—B1xv1.7856 (9)
Yb1—B1xiv2.7720 (9)B1—B1xxix1.7856 (9)
Yb1—B1xv2.7720 (9)B1—B1xxi1.7856 (9)
Yb1—B1xvi2.7720 (9)
B1i—Yb1—B1ii144.19 (3)B1ix—Yb1—B1x144.19 (3)
B1i—Yb1—B1iii180.0 (5)B1ix—Yb1—B1xi180.0 (5)
B1i—Yb1—B1iv35.81 (3)B1ix—Yb1—B1xii35.81 (3)
B1i—Yb1—B1v54.19 (3)B1ix—Yb1—B1xiii54.19 (3)
B1i—Yb1—B1vi90.00 (3)B1ix—Yb1—B1xiv90.00 (3)
B1i—Yb1—B1vii125.81 (3)B1ix—Yb1—B1xv125.81 (3)
B1i—Yb1—B1viii90.00 (3)B1ix—Yb1—B1xvi90.00 (3)
B1i—Yb1—B1ix113.922 (17)B1ix—Yb1—B1xvii37.577 (18)
B1i—Yb1—B1x37.577 (18)B1ix—Yb1—B1xviii113.922 (17)
B1i—Yb1—B1xi66.078 (17)B1ix—Yb1—B1xix142.423 (18)
B1i—Yb1—B1xii142.423 (18)B1ix—Yb1—B1xx66.078 (17)
B1i—Yb1—B1xiii66.078 (17)B1ix—Yb1—B1xxi142.423 (18)
B1i—Yb1—B1xiv142.423 (18)B1ix—Yb1—B1xxii66.078 (17)
B1i—Yb1—B1xv113.922 (17)B1ix—Yb1—B1xxiii37.577 (18)
B1i—Yb1—B1xvi37.577 (18)B1ix—Yb1—B1xxiv113.922 (17)
B1i—Yb1—B1xvii78.026 (11)B1x—Yb1—B1xi35.81 (3)
B1i—Yb1—B1xviii113.922 (17)B1x—Yb1—B1xii180.0 (5)
B1i—Yb1—B1xix101.974 (11)B1x—Yb1—B1xiii90.00 (3)
B1i—Yb1—B1xx66.078 (17)B1x—Yb1—B1xiv125.81 (3)
B1i—Yb1—B1xxi78.026 (11)B1x—Yb1—B1xv90.00 (3)
B1i—Yb1—B1xxii113.922 (17)B1x—Yb1—B1xvi54.19 (3)
B1i—Yb1—B1xxiii101.974 (11)B1x—Yb1—B1xvii113.922 (17)
B1i—Yb1—B1xxiv66.078 (17)B1x—Yb1—B1xviii78.026 (11)
B1ii—Yb1—B1iii35.81 (3)B1x—Yb1—B1xix66.078 (17)
B1ii—Yb1—B1iv180.0 (5)B1x—Yb1—B1xx101.974 (11)
B1ii—Yb1—B1v90.00 (3)B1x—Yb1—B1xxi66.078 (17)
B1ii—Yb1—B1vi125.81 (3)B1x—Yb1—B1xxii101.974 (11)
B1ii—Yb1—B1vii90.00 (3)B1x—Yb1—B1xxiii113.922 (17)
B1ii—Yb1—B1viii54.19 (3)B1x—Yb1—B1xxiv78.026 (11)
B1ii—Yb1—B1ix78.026 (11)B1xi—Yb1—B1xii144.19 (3)
B1ii—Yb1—B1x113.922 (17)B1xi—Yb1—B1xiii125.81 (3)
B1ii—Yb1—B1xi101.974 (11)B1xi—Yb1—B1xiv90.00 (3)
B1ii—Yb1—B1xii66.078 (17)B1xi—Yb1—B1xv54.19 (3)
B1ii—Yb1—B1xiii101.974 (11)B1xi—Yb1—B1xvi90.00 (3)
B1ii—Yb1—B1xiv66.078 (17)B1xi—Yb1—B1xvii142.423 (18)
B1ii—Yb1—B1xv78.026 (11)B1xi—Yb1—B1xviii66.078 (17)
B1ii—Yb1—B1xvi113.922 (17)B1xi—Yb1—B1xix37.577 (18)
B1ii—Yb1—B1xvii113.922 (17)B1xi—Yb1—B1xx113.922 (17)
B1ii—Yb1—B1xviii37.577 (18)B1xi—Yb1—B1xxi37.577 (18)
B1ii—Yb1—B1xix66.078 (17)B1xi—Yb1—B1xxii113.922 (17)
B1ii—Yb1—B1xx142.423 (18)B1xi—Yb1—B1xxiii142.423 (18)
B1ii—Yb1—B1xxi113.922 (17)B1xi—Yb1—B1xxiv66.078 (17)
B1ii—Yb1—B1xxii37.577 (18)B1xii—Yb1—B1xiii90.00 (3)
B1ii—Yb1—B1xxiii66.078 (17)B1xii—Yb1—B1xiv54.19 (3)
B1ii—Yb1—B1xxiv142.423 (18)B1xii—Yb1—B1xv90.00 (3)
B1iii—Yb1—B1iv144.19 (3)B1xii—Yb1—B1xvi125.81 (3)
B1iii—Yb1—B1v125.81 (3)B1xii—Yb1—B1xvii66.078 (17)
B1iii—Yb1—B1vi90.00 (3)B1xii—Yb1—B1xviii101.974 (11)
B1iii—Yb1—B1vii54.19 (3)B1xii—Yb1—B1xix113.922 (17)
B1iii—Yb1—B1viii90.00 (3)B1xii—Yb1—B1xx78.026 (11)
B1iii—Yb1—B1ix66.078 (17)B1xii—Yb1—B1xxi113.922 (17)
B1iii—Yb1—B1x142.423 (18)B1xii—Yb1—B1xxii78.026 (11)
B1iii—Yb1—B1xi113.922 (17)B1xii—Yb1—B1xxiii66.078 (17)
B1iii—Yb1—B1xii37.577 (18)B1xii—Yb1—B1xxiv101.974 (11)
B1iii—Yb1—B1xiii113.922 (17)B1xiii—Yb1—B1xiv144.19 (3)
B1iii—Yb1—B1xiv37.577 (18)B1xiii—Yb1—B1xv180.0 (5)
B1iii—Yb1—B1xv66.078 (17)B1xiii—Yb1—B1xvi35.81 (3)
B1iii—Yb1—B1xvi142.423 (18)B1xiii—Yb1—B1xvii37.577 (18)
B1iii—Yb1—B1xvii101.974 (11)B1xiii—Yb1—B1xviii113.922 (17)
B1iii—Yb1—B1xviii66.078 (17)B1xiii—Yb1—B1xix142.423 (18)
B1iii—Yb1—B1xix78.026 (11)B1xiii—Yb1—B1xx66.078 (17)
B1iii—Yb1—B1xx113.922 (17)B1xiii—Yb1—B1xxi142.423 (18)
B1iii—Yb1—B1xxi101.974 (11)B1xiii—Yb1—B1xxii66.078 (17)
B1iii—Yb1—B1xxii66.078 (17)B1xiii—Yb1—B1xxiii37.577 (18)
B1iii—Yb1—B1xxiii78.026 (11)B1xiii—Yb1—B1xxiv113.922 (17)
B1iii—Yb1—B1xxiv113.922 (17)B1xiv—Yb1—B1xv35.81 (3)
B1iv—Yb1—B1v90.00 (3)B1xiv—Yb1—B1xvi180.0 (5)
B1iv—Yb1—B1vi54.19 (3)B1xiv—Yb1—B1xvii113.922 (17)
B1iv—Yb1—B1vii90.00 (3)B1xiv—Yb1—B1xviii78.026 (11)
B1iv—Yb1—B1viii125.81 (3)B1xiv—Yb1—B1xix66.078 (17)
B1iv—Yb1—B1ix101.974 (11)B1xiv—Yb1—B1xx101.974 (11)
B1iv—Yb1—B1x66.078 (17)B1xiv—Yb1—B1xxi66.078 (17)
B1iv—Yb1—B1xi78.026 (11)B1xiv—Yb1—B1xxii101.974 (11)
B1iv—Yb1—B1xii113.922 (17)B1xiv—Yb1—B1xxiii113.922 (17)
B1iv—Yb1—B1xiii78.026 (11)B1xiv—Yb1—B1xxiv78.026 (11)
B1iv—Yb1—B1xiv113.922 (17)B1xv—Yb1—B1xvi144.19 (3)
B1iv—Yb1—B1xv101.974 (11)B1xv—Yb1—B1xvii142.423 (18)
B1iv—Yb1—B1xvi66.078 (17)B1xv—Yb1—B1xviii66.078 (17)
B1iv—Yb1—B1xvii66.078 (17)B1xv—Yb1—B1xix37.577 (18)
B1iv—Yb1—B1xviii142.423 (18)B1xv—Yb1—B1xx113.922 (17)
B1iv—Yb1—B1xix113.922 (17)B1xv—Yb1—B1xxi37.577 (18)
B1iv—Yb1—B1xx37.577 (18)B1xv—Yb1—B1xxii113.922 (17)
B1iv—Yb1—B1xxi66.078 (17)B1xv—Yb1—B1xxiii142.423 (18)
B1iv—Yb1—B1xxii142.423 (18)B1xv—Yb1—B1xxiv66.078 (17)
B1iv—Yb1—B1xxiii113.922 (17)B1xvi—Yb1—B1xvii66.078 (17)
B1iv—Yb1—B1xxiv37.577 (18)B1xvi—Yb1—B1xviii101.974 (11)
B1v—Yb1—B1vi144.19 (3)B1xvi—Yb1—B1xix113.922 (17)
B1v—Yb1—B1vii180.0 (5)B1xvi—Yb1—B1xx78.026 (11)
B1v—Yb1—B1viii35.81 (3)B1xvi—Yb1—B1xxi113.922 (17)
B1v—Yb1—B1ix113.922 (17)B1xvi—Yb1—B1xxii78.026 (11)
B1v—Yb1—B1x37.577 (18)B1xvi—Yb1—B1xxiii66.078 (17)
B1v—Yb1—B1xi66.078 (17)B1xvi—Yb1—B1xxiv101.974 (11)
B1v—Yb1—B1xii142.423 (18)B1xvii—Yb1—B1xviii144.19 (3)
B1v—Yb1—B1xiii66.078 (17)B1xvii—Yb1—B1xix180.0 (5)
B1v—Yb1—B1xiv142.423 (18)B1xvii—Yb1—B1xx35.81 (3)
B1v—Yb1—B1xv113.922 (17)B1xvii—Yb1—B1xxi125.81 (3)
B1v—Yb1—B1xvi37.577 (18)B1xvii—Yb1—B1xxii90.00 (3)
B1v—Yb1—B1xvii101.974 (11)B1xvii—Yb1—B1xxiii54.19 (3)
B1v—Yb1—B1xviii66.078 (17)B1xvii—Yb1—B1xxiv90.00 (3)
B1v—Yb1—B1xix78.026 (11)B1xviii—Yb1—B1xix35.81 (3)
B1v—Yb1—B1xx113.922 (17)B1xviii—Yb1—B1xx180.0 (5)
B1v—Yb1—B1xxi101.974 (11)B1xviii—Yb1—B1xxi90.00 (3)
B1v—Yb1—B1xxii66.078 (17)B1xviii—Yb1—B1xxii54.19 (3)
B1v—Yb1—B1xxiii78.026 (11)B1xviii—Yb1—B1xxiii90.00 (3)
B1v—Yb1—B1xxiv113.922 (17)B1xviii—Yb1—B1xxiv125.81 (3)
B1vi—Yb1—B1vii35.81 (3)B1xix—Yb1—B1xx144.19 (3)
B1vi—Yb1—B1viii180.0 (5)B1xix—Yb1—B1xxi54.19 (3)
B1vi—Yb1—B1ix78.026 (11)B1xix—Yb1—B1xxii90.00 (3)
B1vi—Yb1—B1x113.922 (17)B1xix—Yb1—B1xxiii125.81 (3)
B1vi—Yb1—B1xi101.974 (11)B1xix—Yb1—B1xxiv90.00 (3)
B1vi—Yb1—B1xii66.078 (17)B1xx—Yb1—B1xxi90.00 (3)
B1vi—Yb1—B1xiii101.974 (11)B1xx—Yb1—B1xxii125.81 (3)
B1vi—Yb1—B1xiv66.078 (17)B1xx—Yb1—B1xxiii90.00 (3)
B1vi—Yb1—B1xv78.026 (11)B1xx—Yb1—B1xxiv54.19 (3)
B1vi—Yb1—B1xvi113.922 (17)B1xxi—Yb1—B1xxii144.19 (3)
B1vi—Yb1—B1xvii66.078 (17)B1xxi—Yb1—B1xxiii180.0 (5)
B1vi—Yb1—B1xviii142.423 (18)B1xxi—Yb1—B1xxiv35.81 (3)
B1vi—Yb1—B1xix113.922 (17)B1xxii—Yb1—B1xxiii35.81 (3)
B1vi—Yb1—B1xx37.577 (18)B1xxii—Yb1—B1xxiv180.0 (5)
B1vi—Yb1—B1xxi66.078 (17)B1xxiii—Yb1—B1xxiv144.19 (3)
B1vi—Yb1—B1xxii142.423 (18)Yb1xxx—B1—Yb1xxxi144.19 (4)
B1vi—Yb1—B1xxiii113.922 (17)Yb1xxx—B1—B1xxv72.10 (4)
B1vi—Yb1—B1xxiv37.577 (18)Yb1xxx—B1—B1xxvi62.90 (3)
B1vii—Yb1—B1viii144.19 (3)Yb1xxx—B1—B1xxvii152.90 (5)
B1vii—Yb1—B1ix66.078 (17)Yb1xxx—B1—B1xxviii71.21 (4)
B1vii—Yb1—B1x142.423 (18)Yb1xxx—B1—B1xv71.21 (4)
B1vii—Yb1—B1xi113.922 (17)Yb1xxx—B1—B1xxix129.01 (4)
B1vii—Yb1—B1xii37.577 (18)Yb1xxx—B1—B1xxi129.01 (4)
B1vii—Yb1—B1xiii113.922 (17)Yb1xxxi—B1—B1xxv72.10 (4)
B1vii—Yb1—B1xiv37.577 (18)Yb1xxxi—B1—B1xxvi152.90 (5)
B1vii—Yb1—B1xv66.078 (17)Yb1xxxi—B1—B1xxvii62.90 (3)
B1vii—Yb1—B1xvi142.423 (18)Yb1xxxi—B1—B1xxviii129.01 (4)
B1vii—Yb1—B1xvii78.026 (11)Yb1xxxi—B1—B1xv129.01 (4)
B1vii—Yb1—B1xviii113.922 (17)Yb1xxxi—B1—B1xxix71.21 (4)
B1vii—Yb1—B1xix101.974 (11)Yb1xxxi—B1—B1xxi71.21 (4)
B1vii—Yb1—B1xx66.078 (17)B1xxv—B1—B1xxvi135.00 (6)
B1vii—Yb1—B1xxi78.026 (11)B1xxv—B1—B1xxvii135.00 (6)
B1vii—Yb1—B1xxii113.922 (17)B1xxv—B1—B1xxviii120.00 (5)
B1vii—Yb1—B1xxiii101.974 (11)B1xxv—B1—B1xv120.00 (5)
B1vii—Yb1—B1xxiv66.078 (17)B1xxv—B1—B1xxix120.00 (5)
B1viii—Yb1—B1ix101.974 (11)B1xxv—B1—B1xxi120.00 (5)
B1viii—Yb1—B1x66.078 (17)B1xxvi—B1—B1xxvii90.00 (4)
B1viii—Yb1—B1xi78.026 (11)B1xxvi—B1—B1xxviii45.00 (3)
B1viii—Yb1—B1xii113.922 (17)B1xxvi—B1—B1xv45.00 (3)
B1viii—Yb1—B1xiii78.026 (11)B1xxvi—B1—B1xxix90.00 (5)
B1viii—Yb1—B1xiv113.922 (17)B1xxvi—B1—B1xxi90.00 (5)
B1viii—Yb1—B1xv101.974 (11)B1xxvii—B1—B1xxviii90.00 (5)
B1viii—Yb1—B1xvi66.078 (17)B1xxvii—B1—B1xv90.00 (5)
B1viii—Yb1—B1xvii113.922 (17)B1xxvii—B1—B1xxix45.00 (3)
B1viii—Yb1—B1xviii37.577 (18)B1xxvii—B1—B1xxi45.00 (3)
B1viii—Yb1—B1xix66.078 (17)B1xxviii—B1—B1xv90.00 (5)
B1viii—Yb1—B1xx142.423 (18)B1xxviii—B1—B1xxix60.00 (4)
B1viii—Yb1—B1xxi113.922 (17)B1xxviii—B1—B1xxi120.00 (7)
B1viii—Yb1—B1xxii37.577 (18)B1xv—B1—B1xxix120.00 (7)
B1viii—Yb1—B1xxiii66.078 (17)B1xv—B1—B1xxi60.00 (4)
B1viii—Yb1—B1xxiv142.423 (18)B1xxix—B1—B1xxi90.00 (5)
Symmetry codes: (i) x, y1/2, z1/2; (ii) x1/2, y, z1/2; (iii) x, y+1/2, z1/2; (iv) x+1/2, y, z1/2; (v) x, y1/2, z+1/2; (vi) x+1/2, y, z+1/2; (vii) x, y+1/2, z+1/2; (viii) x1/2, y, z+1/2; (ix) z1/2, x, y1/2; (x) z1/2, x1/2, y; (xi) z1/2, x, y+1/2; (xii) z1/2, x+1/2, y; (xiii) z+1/2, x, y1/2; (xiv) z+1/2, x+1/2, y; (xv) z+1/2, x, y+1/2; (xvi) z+1/2, x1/2, y; (xvii) y, z1/2, x1/2; (xviii) y1/2, z1/2, x; (xix) y, z1/2, x+1/2; (xx) y+1/2, z1/2, x; (xxi) y, z+1/2, x+1/2; (xxii) y1/2, z+1/2, x; (xxiii) y, z+1/2, x1/2; (xxiv) y+1/2, z+1/2, x; (xxv) x+1/2, y+1/2, z; (xxvi) x, y, z+1; (xxvii) x, y, z+1; (xxviii) z1/2, x, y+1/2; (xxix) y, z1/2, x+1/2; (xxx) x, y+1/2, z+1/2; (xxxi) x+1/2, y, z+1/2.
(293K) top
Crystal data top
B12YbDx = 4.838 Mg m3
Mr = 302.8Mo Kα radiation, λ = 0.71073 Å
Cubic, Fm3mCell parameters from 7531 reflections
Hall symbol: -F 4 2 3θ = 4.7–73.7°
a = 7.4629 (1) ŵ = 22.35 mm1
V = 415.65 (1) Å3T = 293 K
Z = 4Plate, black
F(000) = 5200.39 × 0.29 × 0.11 mm
Data collection top
Xcalibur, EosS2 with high theta cut
diffractometer
267 independent reflections
Radiation source: X-ray tube267 reflections with I > 3σ(I)
Graphite monochromatorRint = 0.050
Detector resolution: 16.1745 pixels mm-1θmax = 74.1°, θmin = 4.7°
ω scansh = 1817
Absorption correction: analytical
CrysAlisPro 1.171.39.46 (Rigaku Oxford Diffraction, 2018) Analytical numeric absorption correction using a multifaceted crystal model based on expressions derived by R.C. Clark & J.S. Reid. (Clark, R. C. & Reid, J. S. (1995). Acta Cryst. A51, 887-897) Empirical absorption correction using spherical harmonics, implemented in SCALE3 ABSPACK scaling algorithm.
k = 1919
Tmin = 0.019, Tmax = 0.22l = 2020
10690 measured reflections
Refinement top
Refinement on F0 constraints
R[F2 > 2σ(F2)] = 0.016Weighting scheme based on measured s.u.'s w = 1/(σ2(F) + 0.000529F2)
wR(F2) = 0.023(Δ/σ)max = 0.017
S = 1.01Δρmax = 2.56 e Å3
267 reflectionsΔρmin = 0.81 e Å3
7 parametersExtinction correction: B-C type 1 Lorentzian isotropic (Becker & Coppens, 1974)
0 restraintsExtinction coefficient: 14800 (800)
Fractional atomic coordinates and isotropic or equivalent isotropic displacement parameters (Å2) top
xyzUiso*/Ueq
Yb10000.00276 (4)
B10.16926 (18)0.16926 (18)0.50.00439 (17)
Atomic displacement parameters (Å2) top
U11U22U33U12U13U23
Yb10.00276 (7)0.00276 (7)0.00276 (7)000
B10.0047 (2)0.0047 (2)0.0038 (4)0.0014 (3)00
Geometric parameters (Å, º) top
Yb1—B1i2.7727 (14)Yb1—B1xvii2.7727 (14)
Yb1—B1ii2.7727 (14)Yb1—B1xviii2.7727 (14)
Yb1—B1iii2.7727 (14)Yb1—B1xix2.7727 (14)
Yb1—B1iv2.7727 (14)Yb1—B1xx2.7727 (14)
Yb1—B1v2.7727 (14)Yb1—B1xxi2.7727 (14)
Yb1—B1vi2.7727 (14)Yb1—B1xxii2.7727 (14)
Yb1—B1vii2.7727 (14)Yb1—B1xxiii2.7727 (14)
Yb1—B1viii2.7727 (14)Yb1—B1xxiv2.7727 (14)
Yb1—B1ix2.7727 (14)B1—B1xxv1.7043 (19)
Yb1—B1x2.7727 (14)B1—B1xxvi2.5263 (19)
Yb1—B1xi2.7727 (14)B1—B1xxvii2.5263 (19)
Yb1—B1xii2.7727 (14)B1—B1xxviii1.7864 (14)
Yb1—B1xiii2.7727 (14)B1—B1xv1.7864 (14)
Yb1—B1xiv2.7727 (14)B1—B1xxix1.7864 (14)
Yb1—B1xv2.7727 (14)B1—B1xxi1.7864 (14)
Yb1—B1xvi2.7727 (14)
B1i—Yb1—B1ii144.20 (4)B1ix—Yb1—B1x144.20 (4)
B1i—Yb1—B1iii180.0 (5)B1ix—Yb1—B1xi180.0 (5)
B1i—Yb1—B1iv35.80 (4)B1ix—Yb1—B1xii35.80 (4)
B1i—Yb1—B1v54.20 (4)B1ix—Yb1—B1xiii54.20 (4)
B1i—Yb1—B1vi90.00 (4)B1ix—Yb1—B1xiv90.00 (4)
B1i—Yb1—B1vii125.80 (4)B1ix—Yb1—B1xv125.80 (4)
B1i—Yb1—B1viii90.00 (4)B1ix—Yb1—B1xvi90.00 (4)
B1i—Yb1—B1ix113.93 (3)B1ix—Yb1—B1xvii37.58 (3)
B1i—Yb1—B1x37.58 (3)B1ix—Yb1—B1xviii113.93 (3)
B1i—Yb1—B1xi66.07 (3)B1ix—Yb1—B1xix142.42 (3)
B1i—Yb1—B1xii142.42 (3)B1ix—Yb1—B1xx66.07 (3)
B1i—Yb1—B1xiii66.07 (3)B1ix—Yb1—B1xxi142.42 (3)
B1i—Yb1—B1xiv142.42 (3)B1ix—Yb1—B1xxii66.07 (3)
B1i—Yb1—B1xv113.93 (3)B1ix—Yb1—B1xxiii37.58 (3)
B1i—Yb1—B1xvi37.58 (3)B1ix—Yb1—B1xxiv113.93 (3)
B1i—Yb1—B1xvii78.022 (16)B1x—Yb1—B1xi35.80 (4)
B1i—Yb1—B1xviii113.93 (3)B1x—Yb1—B1xii180.0 (5)
B1i—Yb1—B1xix101.978 (16)B1x—Yb1—B1xiii90.00 (4)
B1i—Yb1—B1xx66.07 (3)B1x—Yb1—B1xiv125.80 (4)
B1i—Yb1—B1xxi78.022 (16)B1x—Yb1—B1xv90.00 (4)
B1i—Yb1—B1xxii113.93 (3)B1x—Yb1—B1xvi54.20 (4)
B1i—Yb1—B1xxiii101.978 (16)B1x—Yb1—B1xvii113.93 (3)
B1i—Yb1—B1xxiv66.07 (3)B1x—Yb1—B1xviii78.022 (16)
B1ii—Yb1—B1iii35.80 (4)B1x—Yb1—B1xix66.07 (3)
B1ii—Yb1—B1iv180.0 (5)B1x—Yb1—B1xx101.978 (16)
B1ii—Yb1—B1v90.00 (4)B1x—Yb1—B1xxi66.07 (3)
B1ii—Yb1—B1vi125.80 (4)B1x—Yb1—B1xxii101.978 (16)
B1ii—Yb1—B1vii90.00 (4)B1x—Yb1—B1xxiii113.93 (3)
B1ii—Yb1—B1viii54.20 (4)B1x—Yb1—B1xxiv78.022 (16)
B1ii—Yb1—B1ix78.022 (16)B1xi—Yb1—B1xii144.20 (4)
B1ii—Yb1—B1x113.93 (3)B1xi—Yb1—B1xiii125.80 (4)
B1ii—Yb1—B1xi101.978 (16)B1xi—Yb1—B1xiv90.00 (4)
B1ii—Yb1—B1xii66.07 (3)B1xi—Yb1—B1xv54.20 (4)
B1ii—Yb1—B1xiii101.978 (16)B1xi—Yb1—B1xvi90.00 (4)
B1ii—Yb1—B1xiv66.07 (3)B1xi—Yb1—B1xvii142.42 (3)
B1ii—Yb1—B1xv78.022 (16)B1xi—Yb1—B1xviii66.07 (3)
B1ii—Yb1—B1xvi113.93 (3)B1xi—Yb1—B1xix37.58 (3)
B1ii—Yb1—B1xvii113.93 (3)B1xi—Yb1—B1xx113.93 (3)
B1ii—Yb1—B1xviii37.58 (3)B1xi—Yb1—B1xxi37.58 (3)
B1ii—Yb1—B1xix66.07 (3)B1xi—Yb1—B1xxii113.93 (3)
B1ii—Yb1—B1xx142.42 (3)B1xi—Yb1—B1xxiii142.42 (3)
B1ii—Yb1—B1xxi113.93 (3)B1xi—Yb1—B1xxiv66.07 (3)
B1ii—Yb1—B1xxii37.58 (3)B1xii—Yb1—B1xiii90.00 (4)
B1ii—Yb1—B1xxiii66.07 (3)B1xii—Yb1—B1xiv54.20 (4)
B1ii—Yb1—B1xxiv142.42 (3)B1xii—Yb1—B1xv90.00 (4)
B1iii—Yb1—B1iv144.20 (4)B1xii—Yb1—B1xvi125.80 (4)
B1iii—Yb1—B1v125.80 (4)B1xii—Yb1—B1xvii66.07 (3)
B1iii—Yb1—B1vi90.00 (4)B1xii—Yb1—B1xviii101.978 (16)
B1iii—Yb1—B1vii54.20 (4)B1xii—Yb1—B1xix113.93 (3)
B1iii—Yb1—B1viii90.00 (4)B1xii—Yb1—B1xx78.022 (16)
B1iii—Yb1—B1ix66.07 (3)B1xii—Yb1—B1xxi113.93 (3)
B1iii—Yb1—B1x142.42 (3)B1xii—Yb1—B1xxii78.022 (16)
B1iii—Yb1—B1xi113.93 (3)B1xii—Yb1—B1xxiii66.07 (3)
B1iii—Yb1—B1xii37.58 (3)B1xii—Yb1—B1xxiv101.978 (16)
B1iii—Yb1—B1xiii113.93 (3)B1xiii—Yb1—B1xiv144.20 (4)
B1iii—Yb1—B1xiv37.58 (3)B1xiii—Yb1—B1xv180.0 (5)
B1iii—Yb1—B1xv66.07 (3)B1xiii—Yb1—B1xvi35.80 (4)
B1iii—Yb1—B1xvi142.42 (3)B1xiii—Yb1—B1xvii37.58 (3)
B1iii—Yb1—B1xvii101.978 (16)B1xiii—Yb1—B1xviii113.93 (3)
B1iii—Yb1—B1xviii66.07 (3)B1xiii—Yb1—B1xix142.42 (3)
B1iii—Yb1—B1xix78.022 (16)B1xiii—Yb1—B1xx66.07 (3)
B1iii—Yb1—B1xx113.93 (3)B1xiii—Yb1—B1xxi142.42 (3)
B1iii—Yb1—B1xxi101.978 (16)B1xiii—Yb1—B1xxii66.07 (3)
B1iii—Yb1—B1xxii66.07 (3)B1xiii—Yb1—B1xxiii37.58 (3)
B1iii—Yb1—B1xxiii78.022 (16)B1xiii—Yb1—B1xxiv113.93 (3)
B1iii—Yb1—B1xxiv113.93 (3)B1xiv—Yb1—B1xv35.80 (4)
B1iv—Yb1—B1v90.00 (4)B1xiv—Yb1—B1xvi180.0 (5)
B1iv—Yb1—B1vi54.20 (4)B1xiv—Yb1—B1xvii113.93 (3)
B1iv—Yb1—B1vii90.00 (4)B1xiv—Yb1—B1xviii78.022 (16)
B1iv—Yb1—B1viii125.80 (4)B1xiv—Yb1—B1xix66.07 (3)
B1iv—Yb1—B1ix101.978 (16)B1xiv—Yb1—B1xx101.978 (16)
B1iv—Yb1—B1x66.07 (3)B1xiv—Yb1—B1xxi66.07 (3)
B1iv—Yb1—B1xi78.022 (16)B1xiv—Yb1—B1xxii101.978 (16)
B1iv—Yb1—B1xii113.93 (3)B1xiv—Yb1—B1xxiii113.93 (3)
B1iv—Yb1—B1xiii78.022 (16)B1xiv—Yb1—B1xxiv78.022 (16)
B1iv—Yb1—B1xiv113.93 (3)B1xv—Yb1—B1xvi144.20 (4)
B1iv—Yb1—B1xv101.978 (16)B1xv—Yb1—B1xvii142.42 (3)
B1iv—Yb1—B1xvi66.07 (3)B1xv—Yb1—B1xviii66.07 (3)
B1iv—Yb1—B1xvii66.07 (3)B1xv—Yb1—B1xix37.58 (3)
B1iv—Yb1—B1xviii142.42 (3)B1xv—Yb1—B1xx113.93 (3)
B1iv—Yb1—B1xix113.93 (3)B1xv—Yb1—B1xxi37.58 (3)
B1iv—Yb1—B1xx37.58 (3)B1xv—Yb1—B1xxii113.93 (3)
B1iv—Yb1—B1xxi66.07 (3)B1xv—Yb1—B1xxiii142.42 (3)
B1iv—Yb1—B1xxii142.42 (3)B1xv—Yb1—B1xxiv66.07 (3)
B1iv—Yb1—B1xxiii113.93 (3)B1xvi—Yb1—B1xvii66.07 (3)
B1iv—Yb1—B1xxiv37.58 (3)B1xvi—Yb1—B1xviii101.978 (16)
B1v—Yb1—B1vi144.20 (4)B1xvi—Yb1—B1xix113.93 (3)
B1v—Yb1—B1vii180.0 (5)B1xvi—Yb1—B1xx78.022 (16)
B1v—Yb1—B1viii35.80 (4)B1xvi—Yb1—B1xxi113.93 (3)
B1v—Yb1—B1ix113.93 (3)B1xvi—Yb1—B1xxii78.022 (16)
B1v—Yb1—B1x37.58 (3)B1xvi—Yb1—B1xxiii66.07 (3)
B1v—Yb1—B1xi66.07 (3)B1xvi—Yb1—B1xxiv101.978 (16)
B1v—Yb1—B1xii142.42 (3)B1xvii—Yb1—B1xviii144.20 (4)
B1v—Yb1—B1xiii66.07 (3)B1xvii—Yb1—B1xix180.0 (5)
B1v—Yb1—B1xiv142.42 (3)B1xvii—Yb1—B1xx35.80 (4)
B1v—Yb1—B1xv113.93 (3)B1xvii—Yb1—B1xxi125.80 (4)
B1v—Yb1—B1xvi37.58 (3)B1xvii—Yb1—B1xxii90.00 (4)
B1v—Yb1—B1xvii101.978 (16)B1xvii—Yb1—B1xxiii54.20 (4)
B1v—Yb1—B1xviii66.07 (3)B1xvii—Yb1—B1xxiv90.00 (4)
B1v—Yb1—B1xix78.022 (16)B1xviii—Yb1—B1xix35.80 (4)
B1v—Yb1—B1xx113.93 (3)B1xviii—Yb1—B1xx180.0 (5)
B1v—Yb1—B1xxi101.978 (16)B1xviii—Yb1—B1xxi90.00 (4)
B1v—Yb1—B1xxii66.07 (3)B1xviii—Yb1—B1xxii54.20 (4)
B1v—Yb1—B1xxiii78.022 (16)B1xviii—Yb1—B1xxiii90.00 (4)
B1v—Yb1—B1xxiv113.93 (3)B1xviii—Yb1—B1xxiv125.80 (4)
B1vi—Yb1—B1vii35.80 (4)B1xix—Yb1—B1xx144.20 (4)
B1vi—Yb1—B1viii180.0 (5)B1xix—Yb1—B1xxi54.20 (4)
B1vi—Yb1—B1ix78.022 (16)B1xix—Yb1—B1xxii90.00 (4)
B1vi—Yb1—B1x113.93 (3)B1xix—Yb1—B1xxiii125.80 (4)
B1vi—Yb1—B1xi101.978 (16)B1xix—Yb1—B1xxiv90.00 (4)
B1vi—Yb1—B1xii66.07 (3)B1xx—Yb1—B1xxi90.00 (4)
B1vi—Yb1—B1xiii101.978 (16)B1xx—Yb1—B1xxii125.80 (4)
B1vi—Yb1—B1xiv66.07 (3)B1xx—Yb1—B1xxiii90.00 (4)
B1vi—Yb1—B1xv78.022 (16)B1xx—Yb1—B1xxiv54.20 (4)
B1vi—Yb1—B1xvi113.93 (3)B1xxi—Yb1—B1xxii144.20 (4)
B1vi—Yb1—B1xvii66.07 (3)B1xxi—Yb1—B1xxiii180.0 (5)
B1vi—Yb1—B1xviii142.42 (3)B1xxi—Yb1—B1xxiv35.80 (4)
B1vi—Yb1—B1xix113.93 (3)B1xxii—Yb1—B1xxiii35.80 (4)
B1vi—Yb1—B1xx37.58 (3)B1xxii—Yb1—B1xxiv180.0 (5)
B1vi—Yb1—B1xxi66.07 (3)B1xxiii—Yb1—B1xxiv144.20 (4)
B1vi—Yb1—B1xxii142.42 (3)Yb1xxx—B1—Yb1xxxi144.20 (5)
B1vi—Yb1—B1xxiii113.93 (3)Yb1xxx—B1—B1xxv72.10 (6)
B1vi—Yb1—B1xxiv37.58 (3)Yb1xxx—B1—B1xxvi62.90 (4)
B1vii—Yb1—B1viii144.20 (4)Yb1xxx—B1—B1xxvii152.90 (6)
B1vii—Yb1—B1ix66.07 (3)Yb1xxx—B1—B1xxviii71.21 (6)
B1vii—Yb1—B1x142.42 (3)Yb1xxx—B1—B1xv71.21 (6)
B1vii—Yb1—B1xi113.93 (3)Yb1xxx—B1—B1xxix129.01 (5)
B1vii—Yb1—B1xii37.58 (3)Yb1xxx—B1—B1xxi129.01 (5)
B1vii—Yb1—B1xiii113.93 (3)Yb1xxxi—B1—B1xxv72.10 (6)
B1vii—Yb1—B1xiv37.58 (3)Yb1xxxi—B1—B1xxvi152.90 (6)
B1vii—Yb1—B1xv66.07 (3)Yb1xxxi—B1—B1xxvii62.90 (4)
B1vii—Yb1—B1xvi142.42 (3)Yb1xxxi—B1—B1xxviii129.01 (5)
B1vii—Yb1—B1xvii78.022 (16)Yb1xxxi—B1—B1xv129.01 (5)
B1vii—Yb1—B1xviii113.93 (3)Yb1xxxi—B1—B1xxix71.21 (6)
B1vii—Yb1—B1xix101.978 (16)Yb1xxxi—B1—B1xxi71.21 (6)
B1vii—Yb1—B1xx66.07 (3)B1xxv—B1—B1xxvi135.00 (9)
B1vii—Yb1—B1xxi78.022 (16)B1xxv—B1—B1xxvii135.00 (9)
B1vii—Yb1—B1xxii113.93 (3)B1xxv—B1—B1xxviii120.00 (7)
B1vii—Yb1—B1xxiii101.978 (16)B1xxv—B1—B1xv120.00 (7)
B1vii—Yb1—B1xxiv66.07 (3)B1xxv—B1—B1xxix120.00 (7)
B1viii—Yb1—B1ix101.978 (16)B1xxv—B1—B1xxi120.00 (7)
B1viii—Yb1—B1x66.07 (3)B1xxvi—B1—B1xxvii90.00 (6)
B1viii—Yb1—B1xi78.022 (16)B1xxvi—B1—B1xxviii45.00 (4)
B1viii—Yb1—B1xii113.93 (3)B1xxvi—B1—B1xv45.00 (4)
B1viii—Yb1—B1xiii78.022 (16)B1xxvi—B1—B1xxix90.00 (7)
B1viii—Yb1—B1xiv113.93 (3)B1xxvi—B1—B1xxi90.00 (7)
B1viii—Yb1—B1xv101.978 (16)B1xxvii—B1—B1xxviii90.00 (7)
B1viii—Yb1—B1xvi66.07 (3)B1xxvii—B1—B1xv90.00 (7)
B1viii—Yb1—B1xvii113.93 (3)B1xxvii—B1—B1xxix45.00 (4)
B1viii—Yb1—B1xviii37.58 (3)B1xxvii—B1—B1xxi45.00 (4)
B1viii—Yb1—B1xix66.07 (3)B1xxviii—B1—B1xv90.00 (8)
B1viii—Yb1—B1xx142.42 (3)B1xxviii—B1—B1xxix60.00 (6)
B1viii—Yb1—B1xxi113.93 (3)B1xxviii—B1—B1xxi120.00 (9)
B1viii—Yb1—B1xxii37.58 (3)B1xv—B1—B1xxix120.00 (9)
B1viii—Yb1—B1xxiii66.07 (3)B1xv—B1—B1xxi60.00 (6)
B1viii—Yb1—B1xxiv142.42 (3)B1xxix—B1—B1xxi90.00 (8)
Symmetry codes: (i) x, y1/2, z1/2; (ii) x1/2, y, z1/2; (iii) x, y+1/2, z1/2; (iv) x+1/2, y, z1/2; (v) x, y1/2, z+1/2; (vi) x+1/2, y, z+1/2; (vii) x, y+1/2, z+1/2; (viii) x1/2, y, z+1/2; (ix) z1/2, x, y1/2; (x) z1/2, x1/2, y; (xi) z1/2, x, y+1/2; (xii) z1/2, x+1/2, y; (xiii) z+1/2, x, y1/2; (xiv) z+1/2, x+1/2, y; (xv) z+1/2, x, y+1/2; (xvi) z+1/2, x1/2, y; (xvii) y, z1/2, x1/2; (xviii) y1/2, z1/2, x; (xix) y, z1/2, x+1/2; (xx) y+1/2, z1/2, x; (xxi) y, z+1/2, x+1/2; (xxii) y1/2, z+1/2, x; (xxiii) y, z+1/2, x1/2; (xxiv) y+1/2, z+1/2, x; (xxv) x+1/2, y+1/2, z; (xxvi) x, y, z+1; (xxvii) x, y, z+1; (xxviii) z1/2, x, y+1/2; (xxix) y, z1/2, x+1/2; (xxx) x, y+1/2, z+1/2; (xxxi) x+1/2, y, z+1/2.
 

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