Supporting information
Crystallographic Information File (CIF) https://doi.org/10.1107/S2053229618009634/yf3145sup1.cif | |
Structure factor file (CIF format) https://doi.org/10.1107/S2053229618009634/yf3145Isup2.hkl | |
Structure factor file (CIF format) https://doi.org/10.1107/S2053229618009634/yf3145IIsup3.hkl | |
Portable Document Format (PDF) file https://doi.org/10.1107/S2053229618009634/yf3145sup4.pdf |
CCDC references: 1853768; 1853767
For both structures, data collection: APEX3 (Bruker, 2016); cell refinement: APEX3 (Bruker, 2016); data reduction: APEX3 (Bruker, 2016); program(s) used to refine structure: SHELXL2014 (Sheldrick, 2015b); molecular graphics: VESTA (Momma & Izumi, 2011).
Ti3Zn3O1.03 | Mo Kα radiation, λ = 0.71073 Å |
Mr = 356.37 | Cell parameters from 793 reflections |
Cubic, Fd3m | θ = 3.1–38.7° |
a = 11.4990 (2) Å | µ = 24.41 mm−1 |
V = 1520.48 (8) Å3 | T = 302 K |
Z = 16 | Granule, black |
F(000) = 2628 | 0.08 × 0.07 × 0.04 mm |
Dx = 6.227 Mg m−3 |
Bruker D8 goniometer diffractometer | 210 independent reflections |
Radiation source: micro focus sealed tube | 199 reflections with I > 2σ(I) |
Detector resolution: 7.4074 pixels mm-1 | Rint = 0.030 |
ω and φ scans | θmax = 36.1°, θmin = 3.1° |
Absorption correction: multi-scan (SADABS; Bruker, 2016) | h = −19→19 |
Tmin = 0.35, Tmax = 0.42 | k = −19→19 |
9213 measured reflections | l = −19→18 |
Refinement on F2 | 0 restraints |
Least-squares matrix: full | w = 1/[σ2(Fo2) + (0.0064P)2 + 2.5084P] where P = (Fo2 + 2Fc2)/3 |
R[F2 > 2σ(F2)] = 0.008 | (Δ/σ)max = 0.001 |
wR(F2) = 0.019 | Δρmax = 0.24 e Å−3 |
S = 1.24 | Δρmin = −0.26 e Å−3 |
210 reflections | Extinction correction: SHELXL2014 (Sheldrick, 2015b) |
15 parameters | Extinction coefficient: 0.00058 (3) |
Geometry. All esds (except the esd in the dihedral angle between two l.s. planes) are estimated using the full covariance matrix. The cell esds are taken into account individually in the estimation of esds in distances, angles and torsion angles; correlations between esds in cell parameters are only used when they are defined by crystal symmetry. An approximate (isotropic) treatment of cell esds is used for estimating esds involving l.s. planes. |
x | y | z | Uiso*/Ueq | Occ. (<1) | |
Ti1 | 0.30578 (2) | 0.125 | 0.125 | 0.00455 (6) | |
Zn1 | 0.29059 (2) | 0.29059 (2) | 0.29059 (2) | 0.00551 (6) | |
Zn2 | 0.5 | 0.5 | 0.5 | 0.00707 (7) | |
O1 | 0 | 0 | 0 | 0.0051 (3) | |
O2 | 0.125 | 0.125 | 0.125 | 0.010 (9) | 0.071 (12) |
U11 | U22 | U33 | U12 | U13 | U23 | |
Ti1 | 0.00580 (10) | 0.00392 (7) | 0.00392 (7) | 0 | 0 | 0.00003 (7) |
Zn1 | 0.00551 (6) | 0.00551 (6) | 0.00551 (6) | −0.00044 (4) | −0.00044 (4) | −0.00044 (4) |
Zn2 | 0.00707 (7) | 0.00707 (7) | 0.00707 (7) | −0.00147 (5) | −0.00147 (5) | −0.00147 (5) |
O1 | 0.0051 (3) | 0.0051 (3) | 0.0051 (3) | −0.0003 (3) | −0.0003 (3) | −0.0003 (3) |
O2 | 0.010 (9) | 0.010 (9) | 0.010 (9) | 0 | 0 | 0 |
Ti1—O2 | 2.0788 (2) | Zn2—Zn1xvi | 2.4968 (1) |
Ti1—O1i | 2.1316 (1) | Zn2—Zn1viii | 2.4968 (1) |
Ti1—O1ii | 2.1316 (1) | Zn2—Zn1xvii | 2.4968 (1) |
Ti1—Zn1 | 2.6985 (2) | Zn2—Zn1xi | 2.4968 (1) |
Ti1—Zn1iii | 2.6985 (2) | Zn2—Zn1xviii | 2.4968 (1) |
Ti1—Ti1iv | 2.9398 (3) | Zn2—Zn1xii | 2.4968 (1) |
Ti1—Ti1v | 2.9398 (3) | Zn2—Ti1xix | 3.0199 (2) |
Ti1—Ti1vi | 2.9398 (3) | Zn2—Ti1xx | 3.0199 (2) |
Ti1—Ti1vii | 2.9398 (3) | Zn2—Ti1xxi | 3.0199 (2) |
Ti1—Zn2viii | 3.0199 (2) | Zn2—Ti1xxii | 3.0199 (2) |
Ti1—Zn2ix | 3.0199 (2) | Zn2—Ti1xxiii | 3.0199 (2) |
Ti1—Zn1x | 3.0290 (2) | Zn2—Ti1xxiv | 3.0199 (2) |
Zn1—Zn2viii | 2.4968 (1) | O1—Ti1xxv | 2.1316 (1) |
Zn1—Zn2xi | 2.4968 (1) | O1—Ti1iv | 2.1316 (1) |
Zn1—Zn2xii | 2.4968 (1) | O1—Ti1ii | 2.1316 (1) |
Zn1—Ti1vii | 2.6985 (2) | O1—Ti1v | 2.1316 (1) |
Zn1—Ti1vi | 2.6985 (2) | O1—Ti1xxvi | 2.1316 (1) |
Zn1—Zn1viii | 2.7454 (3) | O1—Ti1xxvii | 2.1316 (1) |
Zn1—Zn1xii | 2.7454 (3) | O2—Ti1iv | 2.0788 (2) |
Zn1—Zn1xi | 2.7454 (3) | O2—Ti1vi | 2.0788 (2) |
Zn1—Ti1xiii | 3.0290 (2) | O2—Ti1ii | 2.0788 (2) |
Zn1—Ti1xiv | 3.0290 (2) | O2—Ti1vii | 2.0788 (2) |
Zn1—Ti1xv | 3.0290 (2) | O2—Ti1v | 2.0788 (2) |
O2—Ti1—O1i | 72.487 (6) | Ti1vii—Zn1—Ti1xiv | 120.660 (10) |
O2—Ti1—O1ii | 72.487 (6) | Ti1vi—Zn1—Ti1xiv | 64.936 (2) |
O1i—Ti1—O1ii | 144.974 (12) | Ti1—Zn1—Ti1xiv | 64.936 (2) |
O2—Ti1—Zn1 | 86.288 (6) | Zn1viii—Zn1—Ti1xiv | 113.811 (4) |
O1i—Ti1—Zn1 | 88.884 (2) | Zn1xii—Zn1—Ti1xiv | 113.811 (4) |
O1ii—Ti1—Zn1 | 88.884 (2) | Zn1xi—Zn1—Ti1xiv | 63.051 (4) |
O2—Ti1—Zn1iii | 86.288 (6) | Ti1xiii—Zn1—Ti1xiv | 117.945 (2) |
O1i—Ti1—Zn1iii | 88.884 (2) | Zn2viii—Zn1—Ti1xv | 168.380 (8) |
O1ii—Ti1—Zn1iii | 88.884 (2) | Zn2xi—Zn1—Ti1xv | 65.4310 (10) |
Zn1—Ti1—Zn1iii | 172.576 (12) | Zn2xii—Zn1—Ti1xv | 65.4310 (10) |
O2—Ti1—Ti1iv | 45.0 | Ti1vii—Zn1—Ti1xv | 64.936 (2) |
O1i—Ti1—Ti1iv | 105.310 (5) | Ti1vi—Zn1—Ti1xv | 64.936 (2) |
O1ii—Ti1—Ti1iv | 46.401 (4) | Ti1—Zn1—Ti1xv | 120.661 (10) |
Zn1—Ti1—Ti1iv | 116.947 (5) | Zn1viii—Zn1—Ti1xv | 63.051 (4) |
Zn1iii—Ti1—Ti1iv | 56.994 (5) | Zn1xii—Zn1—Ti1xv | 113.811 (4) |
O2—Ti1—Ti1v | 45.0 | Zn1xi—Zn1—Ti1xv | 113.811 (4) |
O1i—Ti1—Ti1v | 46.401 (4) | Ti1xiii—Zn1—Ti1xv | 117.945 (2) |
O1ii—Ti1—Ti1v | 105.310 (5) | Ti1xiv—Zn1—Ti1xv | 117.945 (2) |
Zn1—Ti1—Ti1v | 116.947 (5) | Zn1xvi—Zn2—Zn1viii | 180.0 |
Zn1iii—Ti1—Ti1v | 56.994 (5) | Zn1xvi—Zn2—Zn1xvii | 66.703 (7) |
Ti1iv—Ti1—Ti1v | 60.0 | Zn1viii—Zn2—Zn1xvii | 113.297 (7) |
O2—Ti1—Ti1vi | 45.0 | Zn1xvi—Zn2—Zn1xi | 113.297 (7) |
O1i—Ti1—Ti1vi | 46.401 (4) | Zn1viii—Zn2—Zn1xi | 66.703 (7) |
O1ii—Ti1—Ti1vi | 105.310 (5) | Zn1xvii—Zn2—Zn1xi | 180.0 |
Zn1—Ti1—Ti1vi | 56.994 (5) | Zn1xvi—Zn2—Zn1xviii | 66.703 (7) |
Zn1iii—Ti1—Ti1vi | 116.947 (5) | Zn1viii—Zn2—Zn1xviii | 113.297 (7) |
Ti1iv—Ti1—Ti1vi | 90.0 | Zn1xvii—Zn2—Zn1xviii | 66.703 (7) |
Ti1v—Ti1—Ti1vi | 60.0 | Zn1xi—Zn2—Zn1xviii | 113.297 (7) |
O2—Ti1—Ti1vii | 45.0 | Zn1xvi—Zn2—Zn1xii | 113.297 (7) |
O1i—Ti1—Ti1vii | 105.310 (5) | Zn1viii—Zn2—Zn1xii | 66.703 (7) |
O1ii—Ti1—Ti1vii | 46.401 (4) | Zn1xvii—Zn2—Zn1xii | 113.297 (7) |
Zn1—Ti1—Ti1vii | 56.994 (5) | Zn1xi—Zn2—Zn1xii | 66.703 (7) |
Zn1iii—Ti1—Ti1vii | 116.947 (5) | Zn1xviii—Zn2—Zn1xii | 180.0 |
Ti1iv—Ti1—Ti1vii | 60.0 | Zn1xvi—Zn2—Ti1xix | 122.364 (5) |
Ti1v—Ti1—Ti1vii | 90.0 | Zn1viii—Zn2—Ti1xix | 57.636 (5) |
Ti1vi—Ti1—Ti1vii | 60.0 | Zn1xvii—Zn2—Ti1xix | 65.810 (3) |
O2—Ti1—Zn2viii | 137.692 (3) | Zn1xi—Zn2—Ti1xix | 114.190 (3) |
O1i—Ti1—Zn2viii | 102.858 (4) | Zn1xviii—Zn2—Ti1xix | 65.810 (3) |
O1ii—Ti1—Zn2viii | 102.858 (4) | Zn1xii—Zn2—Ti1xix | 114.190 (3) |
Zn1—Ti1—Zn2viii | 51.404 (3) | Zn1xvi—Zn2—Ti1xx | 114.190 (3) |
Zn1iii—Ti1—Zn2viii | 136.020 (9) | Zn1viii—Zn2—Ti1xx | 65.810 (3) |
Ti1iv—Ti1—Zn2viii | 149.2590 (10) | Zn1xvii—Zn2—Ti1xx | 114.190 (3) |
Ti1v—Ti1—Zn2viii | 149.2590 (10) | Zn1xi—Zn2—Ti1xx | 65.810 (3) |
Ti1vi—Ti1—Zn2viii | 100.741 (3) | Zn1xviii—Zn2—Ti1xx | 57.636 (5) |
Ti1vii—Ti1—Zn2viii | 100.741 (3) | Zn1xii—Zn2—Ti1xx | 122.364 (5) |
O2—Ti1—Zn2ix | 137.692 (3) | Ti1xix—Zn2—Ti1xx | 61.4810 (10) |
O1i—Ti1—Zn2ix | 102.858 (4) | Zn1xvi—Zn2—Ti1xxi | 65.810 (3) |
O1ii—Ti1—Zn2ix | 102.858 (4) | Zn1viii—Zn2—Ti1xxi | 114.190 (3) |
Zn1—Ti1—Zn2ix | 136.020 (9) | Zn1xvii—Zn2—Ti1xxi | 65.810 (3) |
Zn1iii—Ti1—Zn2ix | 51.404 (3) | Zn1xi—Zn2—Ti1xxi | 114.190 (3) |
Ti1iv—Ti1—Zn2ix | 100.741 (3) | Zn1xviii—Zn2—Ti1xxi | 122.364 (5) |
Ti1v—Ti1—Zn2ix | 100.741 (3) | Zn1xii—Zn2—Ti1xxi | 57.636 (5) |
Ti1vi—Ti1—Zn2ix | 149.2590 (10) | Ti1xix—Zn2—Ti1xxi | 118.5190 (10) |
Ti1vii—Ti1—Zn2ix | 149.2590 (10) | Ti1xx—Zn2—Ti1xxi | 180.0 |
Zn2viii—Ti1—Zn2ix | 84.616 (6) | Zn1xvi—Zn2—Ti1xxii | 114.190 (3) |
O2—Ti1—Zn1x | 153.051 (4) | Zn1viii—Zn2—Ti1xxii | 65.810 (3) |
O1i—Ti1—Zn1x | 80.564 (5) | Zn1xvii—Zn2—Ti1xxii | 57.636 (5) |
O1ii—Ti1—Zn1x | 134.462 (9) | Zn1xi—Zn2—Ti1xxii | 122.364 (5) |
Zn1—Ti1—Zn1x | 93.309 (5) | Zn1xviii—Zn2—Ti1xxii | 114.190 (3) |
Zn1iii—Ti1—Zn1x | 93.308 (5) | Zn1xii—Zn2—Ti1xxii | 65.810 (3) |
Ti1iv—Ti1—Zn1x | 148.9730 (10) | Ti1xix—Zn2—Ti1xxii | 61.4810 (10) |
Ti1v—Ti1—Zn1x | 113.812 (4) | Ti1xx—Zn2—Ti1xxii | 118.5190 (10) |
Ti1vi—Ti1—Zn1x | 113.812 (4) | Ti1xxi—Zn2—Ti1xxii | 61.4810 (10) |
Ti1vii—Ti1—Zn1x | 148.9730 (10) | Zn1xvi—Zn2—Ti1xxiii | 65.810 (3) |
Zn2viii—Ti1—Zn1x | 48.759 (4) | Zn1viii—Zn2—Ti1xxiii | 114.190 (3) |
Zn2ix—Ti1—Zn1x | 48.759 (4) | Zn1xvii—Zn2—Ti1xxiii | 122.364 (5) |
Zn2viii—Zn1—Zn2xi | 109.002 (4) | Zn1xi—Zn2—Ti1xxiii | 57.636 (5) |
Zn2viii—Zn1—Zn2xii | 109.002 (4) | Zn1xviii—Zn2—Ti1xxiii | 65.810 (3) |
Zn2xi—Zn1—Zn2xii | 109.002 (4) | Zn1xii—Zn2—Ti1xxiii | 114.190 (3) |
Zn2viii—Zn1—Ti1vii | 124.106 (4) | Ti1xix—Zn2—Ti1xxiii | 118.5190 (10) |
Zn2xi—Zn1—Ti1vii | 70.960 (5) | Ti1xx—Zn2—Ti1xxiii | 61.4810 (10) |
Zn2xii—Zn1—Ti1vii | 124.106 (4) | Ti1xxi—Zn2—Ti1xxiii | 118.5190 (10) |
Zn2viii—Zn1—Ti1vi | 124.106 (4) | Ti1xxii—Zn2—Ti1xxiii | 180.0 |
Zn2xi—Zn1—Ti1vi | 124.106 (4) | Zn1xvi—Zn2—Ti1xxiv | 57.636 (5) |
Zn2xii—Zn1—Ti1vi | 70.960 (5) | Zn1viii—Zn2—Ti1xxiv | 122.364 (5) |
Ti1vii—Zn1—Ti1vi | 66.012 (9) | Zn1xvii—Zn2—Ti1xxiv | 114.190 (3) |
Zn2viii—Zn1—Ti1 | 70.960 (5) | Zn1xi—Zn2—Ti1xxiv | 65.810 (3) |
Zn2xi—Zn1—Ti1 | 124.106 (4) | Zn1xviii—Zn2—Ti1xxiv | 114.190 (3) |
Zn2xii—Zn1—Ti1 | 124.106 (4) | Zn1xii—Zn2—Ti1xxiv | 65.810 (3) |
Ti1vii—Zn1—Ti1 | 66.012 (9) | Ti1xix—Zn2—Ti1xxiv | 180.0 |
Ti1vi—Zn1—Ti1 | 66.012 (9) | Ti1xx—Zn2—Ti1xxiv | 118.5190 (10) |
Zn2viii—Zn1—Zn1viii | 105.328 (4) | Ti1xxi—Zn2—Ti1xxiv | 61.4810 (10) |
Zn2xi—Zn1—Zn1viii | 56.648 (3) | Ti1xxii—Zn2—Ti1xxiv | 118.5190 (10) |
Zn2xii—Zn1—Zn1viii | 56.648 (3) | Ti1xxiii—Zn2—Ti1xxiv | 61.4810 (10) |
Ti1vii—Zn1—Zn1viii | 116.948 (5) | Ti1xxv—O1—Ti1iv | 180.000 (12) |
Ti1vi—Zn1—Zn1viii | 116.948 (5) | Ti1xxv—O1—Ti1ii | 92.803 (9) |
Ti1—Zn1—Zn1viii | 176.288 (6) | Ti1iv—O1—Ti1ii | 87.197 (9) |
Zn2viii—Zn1—Zn1xii | 56.648 (3) | Ti1xxv—O1—Ti1v | 92.803 (9) |
Zn2xi—Zn1—Zn1xii | 56.648 (3) | Ti1iv—O1—Ti1v | 87.197 (9) |
Zn2xii—Zn1—Zn1xii | 105.328 (4) | Ti1ii—O1—Ti1v | 87.197 (9) |
Ti1vii—Zn1—Zn1xii | 116.948 (5) | Ti1xxv—O1—Ti1xxvi | 87.197 (9) |
Ti1vi—Zn1—Zn1xii | 176.288 (6) | Ti1iv—O1—Ti1xxvi | 92.803 (9) |
Ti1—Zn1—Zn1xii | 116.947 (5) | Ti1ii—O1—Ti1xxvi | 92.803 (9) |
Zn1viii—Zn1—Zn1xii | 60.0 | Ti1v—O1—Ti1xxvi | 180.000 (12) |
Zn2viii—Zn1—Zn1xi | 56.648 (3) | Ti1xxv—O1—Ti1xxvii | 87.197 (9) |
Zn2xi—Zn1—Zn1xi | 105.328 (4) | Ti1iv—O1—Ti1xxvii | 92.803 (9) |
Zn2xii—Zn1—Zn1xi | 56.648 (3) | Ti1ii—O1—Ti1xxvii | 180.000 (12) |
Ti1vii—Zn1—Zn1xi | 176.288 (6) | Ti1v—O1—Ti1xxvii | 92.803 (9) |
Ti1vi—Zn1—Zn1xi | 116.948 (5) | Ti1xxvi—O1—Ti1xxvii | 87.197 (9) |
Ti1—Zn1—Zn1xi | 116.947 (5) | Ti1iv—O2—Ti1vi | 180.0 |
Zn1viii—Zn1—Zn1xi | 60.0 | Ti1iv—O2—Ti1ii | 90.0 |
Zn1xii—Zn1—Zn1xi | 60.0 | Ti1vi—O2—Ti1ii | 90.0 |
Zn2viii—Zn1—Ti1xiii | 65.4310 (10) | Ti1iv—O2—Ti1vii | 90.0 |
Zn2xi—Zn1—Ti1xiii | 65.4310 (10) | Ti1vi—O2—Ti1vii | 90.0 |
Zn2xii—Zn1—Ti1xiii | 168.380 (8) | Ti1ii—O2—Ti1vii | 90.0 |
Ti1vii—Zn1—Ti1xiii | 64.936 (2) | Ti1iv—O2—Ti1v | 90.0 |
Ti1vi—Zn1—Ti1xiii | 120.660 (10) | Ti1vi—O2—Ti1v | 90.0 |
Ti1—Zn1—Ti1xiii | 64.936 (2) | Ti1ii—O2—Ti1v | 90.0 |
Zn1viii—Zn1—Ti1xiii | 113.811 (4) | Ti1vii—O2—Ti1v | 180.0 |
Zn1xii—Zn1—Ti1xiii | 63.051 (4) | Ti1iv—O2—Ti1 | 90.0 |
Zn1xi—Zn1—Ti1xiii | 113.811 (4) | Ti1vi—O2—Ti1 | 90.0 |
Zn2viii—Zn1—Ti1xiv | 65.4310 (10) | Ti1ii—O2—Ti1 | 180.0 |
Zn2xi—Zn1—Ti1xiv | 168.380 (8) | Ti1vii—O2—Ti1 | 90.0 |
Zn2xii—Zn1—Ti1xiv | 65.4310 (10) | Ti1v—O2—Ti1 | 90.0 |
Symmetry codes: (i) −x+1/4, y, −z+1/4; (ii) −x+1/4, −y+1/4, z; (iii) x, −y+1/4, −z+1/4; (iv) −y+1/4, z, −x+1/4; (v) z, −x+1/4, −y+1/4; (vi) y, z, x; (vii) z, x, y; (viii) x, −y+3/4, −z+3/4; (ix) x, y−1/2, z−1/2; (x) x+1/4, y−1/4, −z+1/2; (xi) −x+3/4, y, −z+3/4; (xii) −x+3/4, −y+3/4, z; (xiii) y+1/4, −z+1/2, x−1/4; (xiv) −z+1/2, x−1/4, y+1/4; (xv) x−1/4, y+1/4, −z+1/2; (xvi) −x+1, y+1/4, z+1/4; (xvii) x+1/4, −y+1, z+1/4; (xviii) x+1/4, y+1/4, −z+1; (xix) x, y+1/2, z+1/2; (xx) −y+1/2, −z+1/2, −x+1; (xxi) y+1/2, z+1/2, x; (xxii) −z+1/2, −x+1, −y+1/2; (xxiii) z+1/2, x, y+1/2; (xxiv) −x+1, −y+1/2, −z+1/2; (xxv) y−1/4, −z, x−1/4; (xxvi) −z, x−1/4, y−1/4; (xxvii) x−1/4, y−1/4, −z. |
Ti3Zn3O1.27 | Mo Kα radiation, λ = 0.71073 Å |
Mr = 360.11 | Cell parameters from 383 reflections |
Cubic, Fd3m | θ = 3.1–36.0° |
a = 11.5286 (2) Å | µ = 24.23 mm−1 |
V = 1532.25 (8) Å3 | T = 302 K |
Z = 16 | Granule, black |
F(000) = 2658 | 0.05 × 0.03 × 0.03 mm |
Dx = 6.244 Mg m−3 |
Bruker D8 goniometer diffractometer | 252 independent reflections |
Radiation source: micro focus sealed tube | 243 reflections with I > 2σ(I) |
Detector resolution: 7.4074 pixels mm-1 | Rint = 0.030 |
ω and φ scans | θmax = 39.2°, θmin = 3.1° |
Absorption correction: multi-scan (SADABS; Bruker, 2016) | h = −20→20 |
Tmin = 0.47, Tmax = 0.58 | k = −20→20 |
23193 measured reflections | l = −19→20 |
Refinement on F2 | 1 restraint |
Least-squares matrix: full | w = 1/[σ2(Fo2) + (0.0084P)2 + 18.4301P] where P = (Fo2 + 2Fc2)/3 |
R[F2 > 2σ(F2)] = 0.015 | (Δ/σ)max < 0.001 |
wR(F2) = 0.031 | Δρmax = 0.67 e Å−3 |
S = 1.14 | Δρmin = −0.49 e Å−3 |
252 reflections | Extinction correction: SHELXL2014 (Sheldrick, 2015b) |
25 parameters | Extinction coefficient: 0.00017 (4) |
Geometry. All esds (except the esd in the dihedral angle between two l.s. planes) are estimated using the full covariance matrix. The cell esds are taken into account individually in the estimation of esds in distances, angles and torsion angles; correlations between esds in cell parameters are only used when they are defined by crystal symmetry. An approximate (isotropic) treatment of cell esds is used for estimating esds involving l.s. planes. |
x | y | z | Uiso*/Ueq | Occ. (<1) | |
Ti1A | 0.30635 (4) | 0.1250 | 0.1250 | 0.00557 (10) | 0.959 (2) |
Ti1B | 0.3812 (9) | 0.1250 | 0.1250 | 0.007 (2)* | 0.041 (2) |
Zn1A | 0.29053 (5) | 0.29053 (5) | 0.29053 (5) | 0.00770 (14) | 0.982 (6) |
Zn1B | 0.269 (4) | 0.269 (4) | 0.269 (4) | 0.017 (7)* | 0.018 (6) |
Zn2 | 0.5000 | 0.5000 | 0.5000 | 0.00963 (12) | |
O1A | 0.0000 | 0.0000 | 0.0000 | 0.0040 (6) | 0.853 (10) |
O1B | 0.0422 (6) | 0.0422 (6) | 0.0422 (6) | 0.002 (3)* | 0.147 (10) |
O2 | 0.1250 | 0.1250 | 0.1250 | 0.011 (4) | 0.24 (2) |
U11 | U22 | U33 | U12 | U13 | U23 | |
Ti1A | 0.00670 (17) | 0.00501 (11) | 0.00501 (11) | 0.000 | 0.000 | 0.00001 (11) |
Zn1A | 0.00770 (14) | 0.00770 (14) | 0.00770 (14) | −0.00056 (10) | −0.00056 (10) | −0.00056 (10) |
Zn2 | 0.00963 (12) | 0.00963 (12) | 0.00963 (12) | −0.00190 (9) | −0.00190 (9) | −0.00190 (9) |
O1A | 0.0040 (6) | 0.0040 (6) | 0.0040 (6) | −0.0006 (5) | −0.0006 (5) | −0.0006 (5) |
O2 | 0.011 (4) | 0.011 (4) | 0.011 (4) | 0.000 | 0.000 | 0.000 |
Ti1A—Ti1B | 0.863 (10) | Zn1B—Ti1Bxv | 2.68 (3) |
Ti1A—O1Bi | 1.764 (3) | Zn1B—Ti1Bxvi | 2.68 (3) |
Ti1A—O1Bii | 1.764 (3) | Zn2—Ti1Bxvii | 2.455 (5) |
Ti1A—O2 | 2.0907 (4) | Zn2—Ti1Bxviii | 2.455 (6) |
Ti1A—O1Ai | 2.1390 (1) | Zn2—Ti1Bxix | 2.455 (5) |
Ti1A—O1Aii | 2.1390 (1) | Zn2—Ti1Bxx | 2.455 (5) |
Ti1A—Zn1Biii | 2.39 (5) | Zn2—Ti1Bxxi | 2.455 (5) |
Ti1A—Zn1B | 2.39 (5) | Zn2—Ti1Bxxii | 2.455 (5) |
Ti1A—Zn1A | 2.7050 (8) | Zn2—Zn1Axxiii | 2.5036 (3) |
Ti1A—Zn1Aiii | 2.7050 (8) | Zn2—Zn1Axiii | 2.5036 (3) |
Ti1A—Ti1Aiv | 2.9567 (6) | Zn2—Zn1Axxiv | 2.5036 (3) |
Ti1A—Ti1Av | 2.9567 (6) | Zn2—Zn1Aviii | 2.5036 (3) |
Ti1B—Zn1Avi | 2.296 (8) | Zn2—Zn1Axxv | 2.5036 (3) |
Ti1B—Zn1Avii | 2.296 (8) | Zn2—Zn1Axiv | 2.5036 (3) |
Ti1B—Zn1Bvi | 2.346 (16) | O1A—O1Bxxvi | 0.843 (12) |
Ti1B—Zn1Bvii | 2.346 (16) | O1A—O1B | 0.843 (12) |
Ti1B—O1Bi | 2.412 (8) | O1A—Ti1Aii | 2.1390 (1) |
Ti1B—O1Bii | 2.412 (8) | O1A—Ti1Axxvii | 2.1390 (1) |
Ti1B—Zn2viii | 2.455 (5) | O1A—Ti1Aiv | 2.1390 (1) |
Ti1B—Zn2ix | 2.455 (5) | O1A—Ti1Axxviii | 2.1390 (1) |
Ti1B—O1Aii | 2.538 (6) | O1A—Ti1Av | 2.1390 (1) |
Ti1B—O1Ai | 2.538 (6) | O1A—Ti1Axxix | 2.1390 (1) |
Ti1B—Zn1Biii | 2.68 (3) | O1A—Ti1Bxxix | 2.538 (6) |
Zn1A—Ti1Bx | 2.296 (8) | O1A—Ti1Bv | 2.538 (6) |
Zn1A—Ti1Bxi | 2.296 (8) | O1A—Ti1Bii | 2.538 (6) |
Zn1A—Ti1Bxii | 2.296 (8) | O1A—Ti1Bxxviii | 2.538 (6) |
Zn1A—Zn2viii | 2.5037 (3) | O1B—O2 | 1.653 (12) |
Zn1A—Zn2xiii | 2.5037 (3) | O1B—O1Bxxvi | 1.69 (2) |
Zn1A—Zn2xiv | 2.5037 (3) | O1B—Ti1Aii | 1.764 (3) |
Zn1A—Ti1Axv | 2.7050 (8) | O1B—Ti1Aiv | 1.764 (3) |
Zn1A—Ti1Axvi | 2.7050 (8) | O1B—Ti1Av | 1.764 (3) |
Zn1A—Zn1Aviii | 2.7542 (16) | O1B—Ti1Bii | 2.412 (8) |
Zn1A—Zn1Axiv | 2.7542 (16) | O1B—Ti1Bv | 2.412 (8) |
Zn1A—Zn1Axiii | 2.7542 (16) | O1B—Ti1Biv | 2.412 (8) |
Zn1B—Ti1Bxi | 2.346 (16) | O2—O1Biii | 1.653 (12) |
Zn1B—Ti1Bx | 2.346 (16) | O2—O1Bi | 1.653 (12) |
Zn1B—Ti1Bxii | 2.346 (16) | O2—O1Bii | 1.653 (12) |
Zn1B—Ti1Axvi | 2.39 (5) | O2—Ti1Aii | 2.0907 (4) |
Zn1B—Ti1Axv | 2.39 (5) | O2—Ti1Aiv | 2.0907 (4) |
Zn1B—Zn2viii | 2.68 (3) | O2—Ti1Axvi | 2.0907 (4) |
Zn1B—Zn2xiv | 2.68 (3) | O2—Ti1Av | 2.0907 (4) |
Zn1B—Zn2xiii | 2.68 (3) | O2—Ti1Axv | 2.0907 (4) |
Ti1B—Ti1A—O1Bi | 130.1 (4) | Ti1A—Zn1B—Ti1Bxv | 90.8 (18) |
Ti1B—Ti1A—O1Bii | 130.1 (4) | Zn2viii—Zn1B—Ti1Bxv | 127.17 (14) |
O1Bi—Ti1A—O1Bii | 99.8 (8) | Zn2xiv—Zn1B—Ti1Bxv | 54.52 (19) |
Ti1B—Ti1A—O2 | 180.0 | Zn2xiii—Zn1B—Ti1Bxv | 127.17 (14) |
O1Bi—Ti1A—O2 | 49.9 (4) | Ti1Bxi—Zn1B—Ti1Bxvi | 166 (3) |
O1Bii—Ti1A—O2 | 49.9 (4) | Ti1Bx—Zn1B—Ti1Bxvi | 69.6 (4) |
Ti1B—Ti1A—O1Ai | 107.680 (11) | Ti1Bxii—Zn1B—Ti1Bxvi | 69.6 (4) |
O1Bi—Ti1A—O1Ai | 22.4 (4) | Ti1Axvi—Zn1B—Ti1Bxvi | 18.4 (2) |
O1Bii—Ti1A—O1Ai | 122.2 (4) | Ti1Axv—Zn1B—Ti1Bxvi | 90.8 (18) |
O2—Ti1A—O1Ai | 72.320 (11) | Ti1A—Zn1B—Ti1Bxvi | 90.8 (18) |
Ti1B—Ti1A—O1Aii | 107.680 (11) | Zn2viii—Zn1B—Ti1Bxvi | 127.17 (14) |
O1Bi—Ti1A—O1Aii | 122.2 (4) | Zn2xiv—Zn1B—Ti1Bxvi | 127.17 (14) |
O1Bii—Ti1A—O1Aii | 22.4 (4) | Zn2xiii—Zn1B—Ti1Bxvi | 54.52 (19) |
O2—Ti1A—O1Aii | 72.320 (11) | Ti1Bxv—Zn1B—Ti1Bxvi | 102.2 (17) |
O1Ai—Ti1A—O1Aii | 144.64 (2) | Ti1Bxi—Zn1B—Ti1B | 69.6 (4) |
Ti1B—Ti1A—Zn1Biii | 100.3 (12) | Ti1Bx—Zn1B—Ti1B | 69.6 (4) |
O1Bi—Ti1A—Zn1Biii | 83.4 (8) | Ti1Bxii—Zn1B—Ti1B | 166 (3) |
O1Bii—Ti1A—Zn1Biii | 83.4 (8) | Ti1Axvi—Zn1B—Ti1B | 90.8 (18) |
O2—Ti1A—Zn1Biii | 79.7 (12) | Ti1Axv—Zn1B—Ti1B | 90.8 (18) |
O1Ai—Ti1A—Zn1Biii | 86.9 (4) | Ti1A—Zn1B—Ti1B | 18.4 (2) |
O1Aii—Ti1A—Zn1Biii | 86.9 (4) | Zn2viii—Zn1B—Ti1B | 54.52 (19) |
Ti1B—Ti1A—Zn1B | 100.3 (12) | Zn2xiv—Zn1B—Ti1B | 127.17 (14) |
O1Bi—Ti1A—Zn1B | 83.4 (8) | Zn2xiii—Zn1B—Ti1B | 127.17 (14) |
O1Bii—Ti1A—Zn1B | 83.4 (8) | Ti1Bxv—Zn1B—Ti1B | 102.2 (17) |
O2—Ti1A—Zn1B | 79.7 (12) | Ti1Bxvi—Zn1B—Ti1B | 102.2 (17) |
O1Ai—Ti1A—Zn1B | 86.9 (4) | Ti1Bxvii—Zn2—Ti1Bxviii | 180.0 |
O1Aii—Ti1A—Zn1B | 86.9 (4) | Ti1Bxvii—Zn2—Ti1Bxix | 108.1 (2) |
Zn1Biii—Ti1A—Zn1B | 159 (2) | Ti1Bxviii—Zn2—Ti1Bxix | 71.9 (2) |
Ti1B—Ti1A—Zn1A | 93.865 (16) | Ti1Bxvii—Zn2—Ti1Bxx | 71.9 (2) |
O1Bi—Ti1A—Zn1A | 87.51 (2) | Ti1Bxviii—Zn2—Ti1Bxx | 108.1 (2) |
O1Bii—Ti1A—Zn1A | 87.51 (2) | Ti1Bxix—Zn2—Ti1Bxx | 180.0 |
O2—Ti1A—Zn1A | 86.135 (16) | Ti1Bxvii—Zn2—Ti1Bxxi | 108.1 (2) |
O1Ai—Ti1A—Zn1A | 88.827 (5) | Ti1Bxviii—Zn2—Ti1Bxxi | 71.9 (2) |
O1Aii—Ti1A—Zn1A | 88.827 (5) | Ti1Bxix—Zn2—Ti1Bxxi | 108.1 (2) |
Zn1Biii—Ti1A—Zn1A | 165.8 (12) | Ti1Bxx—Zn2—Ti1Bxxi | 71.9 (2) |
Zn1B—Ti1A—Zn1A | 6.4 (12) | Ti1Bxvii—Zn2—Ti1Bxxii | 71.9 (2) |
Ti1B—Ti1A—Zn1Aiii | 93.864 (16) | Ti1Bxviii—Zn2—Ti1Bxxii | 108.1 (2) |
O1Bi—Ti1A—Zn1Aiii | 87.51 (2) | Ti1Bxix—Zn2—Ti1Bxxii | 71.9 (2) |
O1Bii—Ti1A—Zn1Aiii | 87.51 (2) | Ti1Bxx—Zn2—Ti1Bxxii | 108.1 (2) |
O2—Ti1A—Zn1Aiii | 86.136 (16) | Ti1Bxxi—Zn2—Ti1Bxxii | 180.0 |
O1Ai—Ti1A—Zn1Aiii | 88.827 (5) | Ti1Bxvii—Zn2—Zn1Axxiii | 71.40 (19) |
O1Aii—Ti1A—Zn1Aiii | 88.827 (5) | Ti1Bxviii—Zn2—Zn1Axxiii | 108.60 (19) |
Zn1Biii—Ti1A—Zn1Aiii | 6.4 (12) | Ti1Bxix—Zn2—Zn1Axxiii | 124.85 (14) |
Zn1B—Ti1A—Zn1Aiii | 165.8 (12) | Ti1Bxx—Zn2—Zn1Axxiii | 55.15 (14) |
Zn1A—Ti1A—Zn1Aiii | 172.27 (3) | Ti1Bxxi—Zn2—Zn1Axxiii | 124.85 (14) |
Ti1B—Ti1A—Ti1Aiv | 135.0 | Ti1Bxxii—Zn2—Zn1Axxiii | 55.15 (14) |
O1Bi—Ti1A—Ti1Aiv | 33.08 (15) | Ti1Bxvii—Zn2—Zn1Axiii | 108.60 (19) |
O1Bii—Ti1A—Ti1Aiv | 85.8 (3) | Ti1Bxviii—Zn2—Zn1Axiii | 71.40 (19) |
O2—Ti1A—Ti1Aiv | 45.0 | Ti1Bxix—Zn2—Zn1Axiii | 55.15 (14) |
O1Ai—Ti1A—Ti1Aiv | 46.280 (8) | Ti1Bxx—Zn2—Zn1Axiii | 124.85 (14) |
O1Aii—Ti1A—Ti1Aiv | 105.167 (9) | Ti1Bxxi—Zn2—Zn1Axiii | 55.15 (14) |
Zn1Biii—Ti1A—Ti1Aiv | 51.8 (9) | Ti1Bxxii—Zn2—Zn1Axiii | 124.85 (14) |
Zn1B—Ti1A—Ti1Aiv | 111.4 (10) | Zn1Axxiii—Zn2—Zn1Axiii | 180.0 |
Zn1A—Ti1A—Ti1Aiv | 116.821 (13) | Ti1Bxvii—Zn2—Zn1Axxiv | 124.85 (14) |
Zn1Aiii—Ti1A—Ti1Aiv | 56.872 (12) | Ti1Bxviii—Zn2—Zn1Axxiv | 55.15 (14) |
Ti1B—Ti1A—Ti1Av | 135.0 | Ti1Bxix—Zn2—Zn1Axxiv | 124.85 (14) |
O1Bi—Ti1A—Ti1Av | 85.8 (3) | Ti1Bxx—Zn2—Zn1Axxiv | 55.15 (14) |
O1Bii—Ti1A—Ti1Av | 33.08 (15) | Ti1Bxxi—Zn2—Zn1Axxiv | 71.40 (19) |
O2—Ti1A—Ti1Av | 45.0 | Ti1Bxxii—Zn2—Zn1Axxiv | 108.60 (19) |
O1Ai—Ti1A—Ti1Av | 105.167 (9) | Zn1Axxiii—Zn2—Zn1Axxiv | 66.74 (3) |
O1Aii—Ti1A—Ti1Av | 46.280 (8) | Zn1Axiii—Zn2—Zn1Axxiv | 113.26 (3) |
Zn1Biii—Ti1A—Ti1Av | 51.8 (9) | Ti1Bxvii—Zn2—Zn1Aviii | 55.15 (14) |
Zn1B—Ti1A—Ti1Av | 111.4 (10) | Ti1Bxviii—Zn2—Zn1Aviii | 124.85 (14) |
Zn1A—Ti1A—Ti1Av | 116.821 (13) | Ti1Bxix—Zn2—Zn1Aviii | 55.15 (14) |
Zn1Aiii—Ti1A—Ti1Av | 56.872 (12) | Ti1Bxx—Zn2—Zn1Aviii | 124.85 (14) |
Ti1Aiv—Ti1A—Ti1Av | 60.0 | Ti1Bxxi—Zn2—Zn1Aviii | 108.60 (19) |
Ti1A—Ti1B—Zn1Avi | 143.14 (15) | Ti1Bxxii—Zn2—Zn1Aviii | 71.40 (19) |
Ti1A—Ti1B—Zn1Avii | 143.14 (15) | Zn1Axxiii—Zn2—Zn1Aviii | 113.26 (3) |
Zn1Avi—Ti1B—Zn1Avii | 73.7 (3) | Zn1Axiii—Zn2—Zn1Aviii | 66.74 (3) |
Ti1A—Ti1B—Zn1Bvi | 132.7 (17) | Zn1Axxiv—Zn2—Zn1Aviii | 180.0 |
Zn1Avi—Ti1B—Zn1Bvi | 10.4 (17) | Ti1Bxvii—Zn2—Zn1Axxv | 124.85 (14) |
Zn1Avii—Ti1B—Zn1Bvi | 84.1 (18) | Ti1Bxviii—Zn2—Zn1Axxv | 55.15 (14) |
Ti1A—Ti1B—Zn1Bvii | 132.7 (17) | Ti1Bxix—Zn2—Zn1Axxv | 71.40 (19) |
Zn1Avi—Ti1B—Zn1Bvii | 84.1 (18) | Ti1Bxx—Zn2—Zn1Axxv | 108.60 (19) |
Zn1Avii—Ti1B—Zn1Bvii | 10.4 (17) | Ti1Bxxi—Zn2—Zn1Axxv | 124.85 (14) |
Zn1Bvi—Ti1B—Zn1Bvii | 95 (3) | Ti1Bxxii—Zn2—Zn1Axxv | 55.15 (14) |
Ti1A—Ti1B—O1Bi | 34.0 (3) | Zn1Axxiii—Zn2—Zn1Axxv | 66.74 (3) |
Zn1Avi—Ti1B—O1Bi | 177.2 (4) | Zn1Axiii—Zn2—Zn1Axxv | 113.26 (3) |
Zn1Avii—Ti1B—O1Bi | 109.1 (3) | Zn1Axxiv—Zn2—Zn1Axxv | 66.74 (3) |
Zn1Bvi—Ti1B—O1Bi | 166.7 (17) | Zn1Aviii—Zn2—Zn1Axxv | 113.26 (3) |
Zn1Bvii—Ti1B—O1Bi | 98.7 (17) | Ti1Bxvii—Zn2—Zn1Axiv | 55.15 (14) |
Ti1A—Ti1B—O1Bii | 34.0 (3) | Ti1Bxviii—Zn2—Zn1Axiv | 124.85 (14) |
Zn1Avi—Ti1B—O1Bii | 109.1 (3) | Ti1Bxix—Zn2—Zn1Axiv | 108.60 (19) |
Zn1Avii—Ti1B—O1Bii | 177.2 (4) | Ti1Bxx—Zn2—Zn1Axiv | 71.40 (19) |
Zn1Bvi—Ti1B—O1Bii | 98.7 (17) | Ti1Bxxi—Zn2—Zn1Axiv | 55.15 (14) |
Zn1Bvii—Ti1B—O1Bii | 166.7 (17) | Ti1Bxxii—Zn2—Zn1Axiv | 124.85 (14) |
O1Bi—Ti1B—O1Bii | 68.0 (6) | Zn1Axxiii—Zn2—Zn1Axiv | 113.26 (3) |
Ti1A—Ti1B—Zn2viii | 123.90 (19) | Zn1Axiii—Zn2—Zn1Axiv | 66.74 (3) |
Zn1Avi—Ti1B—Zn2viii | 63.5 (2) | Zn1Axxiv—Zn2—Zn1Axiv | 113.26 (3) |
Zn1Avii—Ti1B—Zn2viii | 63.5 (2) | Zn1Aviii—Zn2—Zn1Axiv | 66.74 (3) |
Zn1Bvi—Ti1B—Zn2viii | 67.8 (8) | Zn1Axxv—Zn2—Zn1Axiv | 180.0 |
Zn1Bvii—Ti1B—Zn2viii | 67.8 (8) | O1Bxxvi—O1A—O1B | 180 (2) |
O1Bi—Ti1B—Zn2viii | 117.54 (14) | O1Bxxvi—O1A—Ti1Aii | 127.056 (11) |
O1Bii—Ti1B—Zn2viii | 117.54 (14) | O1B—O1A—Ti1Aii | 52.944 (11) |
Ti1A—Ti1B—Zn2ix | 123.90 (19) | O1Bxxvi—O1A—Ti1Axxvii | 52.944 (11) |
Zn1Avi—Ti1B—Zn2ix | 63.5 (2) | O1B—O1A—Ti1Axxvii | 127.056 (11) |
Zn1Avii—Ti1B—Zn2ix | 63.5 (2) | Ti1Aii—O1A—Ti1Axxvii | 180.00 (2) |
Zn1Bvi—Ti1B—Zn2ix | 67.8 (8) | O1Bxxvi—O1A—Ti1Aiv | 127.056 (11) |
Zn1Bvii—Ti1B—Zn2ix | 67.8 (8) | O1B—O1A—Ti1Aiv | 52.944 (11) |
O1Bi—Ti1B—Zn2ix | 117.54 (14) | Ti1Aii—O1A—Ti1Aiv | 87.439 (15) |
O1Bii—Ti1B—Zn2ix | 117.54 (14) | Ti1Axxvii—O1A—Ti1Aiv | 92.561 (15) |
Zn2viii—Ti1B—Zn2ix | 112.2 (4) | O1Bxxvi—O1A—Ti1Axxviii | 52.944 (11) |
Ti1A—Ti1B—O1Aii | 53.42 (18) | O1B—O1A—Ti1Axxviii | 127.056 (11) |
Zn1Avi—Ti1B—O1Aii | 89.72 (4) | Ti1Aii—O1A—Ti1Axxviii | 92.561 (15) |
Zn1Avii—Ti1B—O1Aii | 163.4 (3) | Ti1Axxvii—O1A—Ti1Axxviii | 87.439 (15) |
Zn1Bvi—Ti1B—O1Aii | 79.3 (17) | Ti1Aiv—O1A—Ti1Axxviii | 180.00 (2) |
Zn1Bvii—Ti1B—O1Aii | 173.9 (18) | O1Bxxvi—O1A—Ti1Av | 127.056 (11) |
O1Bi—Ti1B—O1Aii | 87.4 (4) | O1B—O1A—Ti1Av | 52.944 (11) |
O1Bii—Ti1B—O1Aii | 19.4 (3) | Ti1Aii—O1A—Ti1Av | 87.439 (15) |
Zn2viii—Ti1B—O1Aii | 109.416 (16) | Ti1Axxvii—O1A—Ti1Av | 92.561 (15) |
Zn2ix—Ti1B—O1Aii | 109.416 (16) | Ti1Aiv—O1A—Ti1Av | 87.439 (15) |
Ti1A—Ti1B—O1Ai | 53.42 (18) | Ti1Axxviii—O1A—Ti1Av | 92.561 (15) |
Zn1Avi—Ti1B—O1Ai | 163.4 (3) | O1Bxxvi—O1A—Ti1Axxix | 52.944 (11) |
Zn1Avii—Ti1B—O1Ai | 89.72 (4) | O1B—O1A—Ti1Axxix | 127.056 (11) |
Zn1Bvi—Ti1B—O1Ai | 173.9 (18) | Ti1Aii—O1A—Ti1Axxix | 92.561 (15) |
Zn1Bvii—Ti1B—O1Ai | 79.3 (17) | Ti1Axxvii—O1A—Ti1Axxix | 87.439 (15) |
O1Bi—Ti1B—O1Ai | 19.4 (3) | Ti1Aiv—O1A—Ti1Axxix | 92.561 (15) |
O1Bii—Ti1B—O1Ai | 87.4 (4) | Ti1Axxviii—O1A—Ti1Axxix | 87.439 (15) |
Zn2viii—Ti1B—O1Ai | 109.416 (16) | Ti1Av—O1A—Ti1Axxix | 180.00 (2) |
Zn2ix—Ti1B—O1Ai | 109.416 (16) | O1Bxxvi—O1A—Ti1Bxxix | 71.85 (18) |
O1Aii—Ti1B—O1Ai | 106.8 (4) | O1B—O1A—Ti1Bxxix | 108.15 (18) |
Ti1A—Ti1B—Zn1Biii | 61.2 (14) | Ti1Aii—O1A—Ti1Bxxix | 78.97 (13) |
Zn1Avi—Ti1B—Zn1Biii | 112.6 (10) | Ti1Axxvii—O1A—Ti1Bxxix | 101.03 (13) |
Zn1Avii—Ti1B—Zn1Biii | 112.6 (10) | Ti1Aiv—O1A—Ti1Bxxix | 78.97 (13) |
Zn1Bvi—Ti1B—Zn1Biii | 109.0 (2) | Ti1Axxviii—O1A—Ti1Bxxix | 101.03 (13) |
Zn1Bvii—Ti1B—Zn1Biii | 109.0 (2) | Ti1Av—O1A—Ti1Bxxix | 161.10 (18) |
O1Bi—Ti1B—Zn1Biii | 66.5 (11) | Ti1Axxix—O1A—Ti1Bxxix | 18.90 (18) |
O1Bii—Ti1B—Zn1Biii | 66.5 (11) | O1Bxxvi—O1A—Ti1Bv | 108.15 (18) |
Zn2viii—Ti1B—Zn1Biii | 174.8 (14) | O1B—O1A—Ti1Bv | 71.85 (18) |
Zn2ix—Ti1B—Zn1Biii | 62.7 (14) | Ti1Aii—O1A—Ti1Bv | 101.03 (13) |
O1Aii—Ti1B—Zn1Biii | 73.3 (8) | Ti1Axxvii—O1A—Ti1Bv | 78.97 (13) |
O1Ai—Ti1B—Zn1Biii | 73.3 (8) | Ti1Aiv—O1A—Ti1Bv | 101.03 (13) |
Ti1Bx—Zn1A—Ti1Bxi | 119.923 (15) | Ti1Axxviii—O1A—Ti1Bv | 78.97 (13) |
Ti1Bx—Zn1A—Ti1Bxii | 119.923 (15) | Ti1Av—O1A—Ti1Bv | 18.90 (18) |
Ti1Bxi—Zn1A—Ti1Bxii | 119.923 (15) | Ti1Axxix—O1A—Ti1Bv | 161.10 (18) |
Ti1Bx—Zn1A—Zn2viii | 61.36 (6) | Ti1Bxxix—O1A—Ti1Bv | 180.0 |
Ti1Bxi—Zn1A—Zn2viii | 61.36 (6) | O1Bxxvi—O1A—Ti1Bii | 108.15 (18) |
Ti1Bxii—Zn1A—Zn2viii | 158.45 (16) | O1B—O1A—Ti1Bii | 71.85 (18) |
Ti1Bx—Zn1A—Zn2xiii | 61.36 (6) | Ti1Aii—O1A—Ti1Bii | 18.90 (18) |
Ti1Bxi—Zn1A—Zn2xiii | 158.45 (16) | Ti1Axxvii—O1A—Ti1Bii | 161.10 (18) |
Ti1Bxii—Zn1A—Zn2xiii | 61.36 (6) | Ti1Aiv—O1A—Ti1Bii | 101.03 (13) |
Zn2viii—Zn1A—Zn2xiii | 108.98 (2) | Ti1Axxviii—O1A—Ti1Bii | 78.97 (13) |
Ti1Bx—Zn1A—Zn2xiv | 158.45 (16) | Ti1Av—O1A—Ti1Bii | 101.03 (13) |
Ti1Bxi—Zn1A—Zn2xiv | 61.36 (6) | Ti1Axxix—O1A—Ti1Bii | 78.97 (13) |
Ti1Bxii—Zn1A—Zn2xiv | 61.36 (6) | Ti1Bxxix—O1A—Ti1Bii | 69.24 (17) |
Zn2viii—Zn1A—Zn2xiv | 108.98 (2) | Ti1Bv—O1A—Ti1Bii | 110.76 (17) |
Zn2xiii—Zn1A—Zn2xiv | 108.98 (2) | O1Bxxvi—O1A—Ti1Bxxviii | 71.85 (18) |
Ti1Bx—Zn1A—Ti1Axv | 130.72 (15) | O1B—O1A—Ti1Bxxviii | 108.15 (18) |
Ti1Bxi—Zn1A—Ti1Axv | 72.91 (12) | Ti1Aii—O1A—Ti1Bxxviii | 78.97 (13) |
Ti1Bxii—Zn1A—Ti1Axv | 72.91 (12) | Ti1Axxvii—O1A—Ti1Bxxviii | 101.03 (13) |
Zn2viii—Zn1A—Ti1Axv | 124.151 (18) | Ti1Aiv—O1A—Ti1Bxxviii | 161.10 (18) |
Zn2xiii—Zn1A—Ti1Axv | 124.151 (18) | Ti1Axxviii—O1A—Ti1Bxxviii | 18.90 (18) |
Zn2xiv—Zn1A—Ti1Axv | 70.831 (12) | Ti1Av—O1A—Ti1Bxxviii | 78.97 (13) |
Ti1Bx—Zn1A—Ti1Axvi | 72.91 (12) | Ti1Axxix—O1A—Ti1Bxxviii | 101.03 (13) |
Ti1Bxi—Zn1A—Ti1Axvi | 130.72 (15) | Ti1Bxxix—O1A—Ti1Bxxviii | 110.76 (17) |
Ti1Bxii—Zn1A—Ti1Axvi | 72.91 (12) | Ti1Bv—O1A—Ti1Bxxviii | 69.24 (17) |
Zn2viii—Zn1A—Ti1Axvi | 124.151 (18) | Ti1Bii—O1A—Ti1Bxxviii | 69.24 (17) |
Zn2xiii—Zn1A—Ti1Axvi | 70.831 (12) | O1A—O1B—O2 | 180.0 (17) |
Zn2xiv—Zn1A—Ti1Axvi | 124.151 (18) | O1A—O1B—O1Bxxvi | 0.0 (11) |
Ti1Axv—Zn1A—Ti1Axvi | 66.26 (2) | O2—O1B—O1Bxxvi | 180.0 (6) |
Ti1Bx—Zn1A—Ti1A | 72.91 (12) | O1A—O1B—Ti1Aii | 104.6 (4) |
Ti1Bxi—Zn1A—Ti1A | 72.91 (12) | O2—O1B—Ti1Aii | 75.4 (4) |
Ti1Bxii—Zn1A—Ti1A | 130.72 (15) | O1Bxxvi—O1B—Ti1Aii | 104.6 (4) |
Zn2viii—Zn1A—Ti1A | 70.830 (12) | O1A—O1B—Ti1Aiv | 104.6 (4) |
Zn2xiii—Zn1A—Ti1A | 124.151 (18) | O2—O1B—Ti1Aiv | 75.4 (4) |
Zn2xiv—Zn1A—Ti1A | 124.151 (18) | O1Bxxvi—O1B—Ti1Aiv | 104.6 (4) |
Ti1Axv—Zn1A—Ti1A | 66.26 (2) | Ti1Aii—O1B—Ti1Aiv | 113.8 (3) |
Ti1Axvi—Zn1A—Ti1A | 66.26 (2) | O1A—O1B—Ti1Av | 104.6 (4) |
Ti1Bx—Zn1A—Zn1Aviii | 105.42 (13) | O2—O1B—Ti1Av | 75.4 (4) |
Ti1Bxi—Zn1A—Zn1Aviii | 105.42 (13) | O1Bxxvi—O1B—Ti1Av | 104.6 (4) |
Ti1Bxii—Zn1A—Zn1Aviii | 53.14 (15) | Ti1Aii—O1B—Ti1Av | 113.8 (3) |
Zn2viii—Zn1A—Zn1Aviii | 105.30 (2) | Ti1Aiv—O1B—Ti1Av | 113.8 (3) |
Zn2xiii—Zn1A—Zn1Aviii | 56.630 (17) | O1A—O1B—Ti1Bii | 88.7 (3) |
Zn2xiv—Zn1A—Zn1Aviii | 56.630 (17) | O2—O1B—Ti1Bii | 91.3 (3) |
Ti1Axv—Zn1A—Zn1Aviii | 116.822 (13) | O1Bxxvi—O1B—Ti1Bii | 88.7 (3) |
Ti1Axvi—Zn1A—Zn1Aviii | 116.822 (13) | Ti1Aii—O1B—Ti1Bii | 15.88 (16) |
Ti1A—Zn1A—Zn1Aviii | 176.134 (16) | Ti1Aiv—O1B—Ti1Bii | 119.29 (13) |
Ti1Bx—Zn1A—Zn1Axiv | 53.14 (15) | Ti1Av—O1B—Ti1Bii | 119.29 (13) |
Ti1Bxi—Zn1A—Zn1Axiv | 105.42 (13) | O1A—O1B—Ti1Bv | 88.7 (3) |
Ti1Bxii—Zn1A—Zn1Axiv | 105.42 (13) | O2—O1B—Ti1Bv | 91.3 (3) |
Zn2viii—Zn1A—Zn1Axiv | 56.630 (17) | O1Bxxvi—O1B—Ti1Bv | 88.7 (3) |
Zn2xiii—Zn1A—Zn1Axiv | 56.630 (17) | Ti1Aii—O1B—Ti1Bv | 119.29 (13) |
Zn2xiv—Zn1A—Zn1Axiv | 105.30 (2) | Ti1Aiv—O1B—Ti1Bv | 119.29 (13) |
Ti1Axv—Zn1A—Zn1Axiv | 176.135 (16) | Ti1Av—O1B—Ti1Bv | 15.88 (16) |
Ti1Axvi—Zn1A—Zn1Axiv | 116.822 (13) | Ti1Bii—O1B—Ti1Bv | 119.95 (2) |
Ti1A—Zn1A—Zn1Axiv | 116.821 (13) | O1A—O1B—Ti1Biv | 88.7 (3) |
Zn1Aviii—Zn1A—Zn1Axiv | 60.0 | O2—O1B—Ti1Biv | 91.3 (3) |
Ti1Bx—Zn1A—Zn1Axiii | 105.42 (13) | O1Bxxvi—O1B—Ti1Biv | 88.7 (3) |
Ti1Bxi—Zn1A—Zn1Axiii | 53.14 (15) | Ti1Aii—O1B—Ti1Biv | 119.29 (13) |
Ti1Bxii—Zn1A—Zn1Axiii | 105.42 (13) | Ti1Aiv—O1B—Ti1Biv | 15.88 (16) |
Zn2viii—Zn1A—Zn1Axiii | 56.630 (17) | Ti1Av—O1B—Ti1Biv | 119.29 (13) |
Zn2xiii—Zn1A—Zn1Axiii | 105.30 (2) | Ti1Bii—O1B—Ti1Biv | 119.95 (2) |
Zn2xiv—Zn1A—Zn1Axiii | 56.630 (17) | Ti1Bv—O1B—Ti1Biv | 119.95 (2) |
Ti1Axv—Zn1A—Zn1Axiii | 116.822 (13) | O1B—O2—O1Biii | 109.5 |
Ti1Axvi—Zn1A—Zn1Axiii | 176.135 (16) | O1B—O2—O1Bi | 109.5 |
Ti1A—Zn1A—Zn1Axiii | 116.821 (13) | O1Biii—O2—O1Bi | 109.5 |
Zn1Aviii—Zn1A—Zn1Axiii | 59.999 (1) | O1B—O2—O1Bii | 109.471 (1) |
Zn1Axiv—Zn1A—Zn1Axiii | 60.0 | O1Biii—O2—O1Bii | 109.471 (1) |
Ti1Bxi—Zn1B—Ti1Bx | 115.8 (12) | O1Bi—O2—O1Bii | 109.471 (1) |
Ti1Bxi—Zn1B—Ti1Bxii | 115.8 (12) | O1B—O2—Ti1Aii | 54.7 |
Ti1Bx—Zn1B—Ti1Bxii | 115.8 (12) | O1Biii—O2—Ti1Aii | 54.7 |
Ti1Bxi—Zn1B—Ti1Axvi | 148 (3) | O1Bi—O2—Ti1Aii | 125.3 |
Ti1Bx—Zn1B—Ti1Axvi | 78.3 (7) | O1Bii—O2—Ti1Aii | 125.3 |
Ti1Bxii—Zn1B—Ti1Axvi | 78.3 (7) | O1B—O2—Ti1Aiv | 54.7 |
Ti1Bxi—Zn1B—Ti1Axv | 78.3 (7) | O1Biii—O2—Ti1Aiv | 125.3 |
Ti1Bx—Zn1B—Ti1Axv | 148 (3) | O1Bi—O2—Ti1Aiv | 54.7 |
Ti1Bxii—Zn1B—Ti1Axv | 78.3 (7) | O1Bii—O2—Ti1Aiv | 125.3 |
Ti1Axvi—Zn1B—Ti1Axv | 76.4 (19) | Ti1Aii—O2—Ti1Aiv | 90.0 |
Ti1Bxi—Zn1B—Ti1A | 78.3 (7) | O1B—O2—Ti1Axvi | 125.3 |
Ti1Bx—Zn1B—Ti1A | 78.3 (7) | O1Biii—O2—Ti1Axvi | 54.7 |
Ti1Bxii—Zn1B—Ti1A | 148 (3) | O1Bi—O2—Ti1Axvi | 54.7 |
Ti1Axvi—Zn1B—Ti1A | 76.4 (19) | O1Bii—O2—Ti1Axvi | 125.3 |
Ti1Axv—Zn1B—Ti1A | 76.4 (19) | Ti1Aii—O2—Ti1Axvi | 90.0 |
Ti1Bxi—Zn1B—Zn2viii | 58.1 (7) | Ti1Aiv—O2—Ti1Axvi | 90.0 |
Ti1Bx—Zn1B—Zn2viii | 58.1 (7) | O1B—O2—Ti1Av | 54.7 |
Ti1Bxii—Zn1B—Zn2viii | 139 (3) | O1Biii—O2—Ti1Av | 125.3 |
Ti1Axvi—Zn1B—Zn2viii | 130.4 (7) | O1Bi—O2—Ti1Av | 125.3 |
Ti1Axv—Zn1B—Zn2viii | 130.4 (7) | O1Bii—O2—Ti1Av | 54.7 |
Ti1A—Zn1B—Zn2viii | 72.96 (12) | Ti1Aii—O2—Ti1Av | 90.0 |
Ti1Bxi—Zn1B—Zn2xiv | 58.1 (7) | Ti1Aiv—O2—Ti1Av | 90.0 |
Ti1Bx—Zn1B—Zn2xiv | 139 (3) | Ti1Axvi—O2—Ti1Av | 180.0 |
Ti1Bxii—Zn1B—Zn2xiv | 58.1 (7) | O1B—O2—Ti1Axv | 125.3 |
Ti1Axvi—Zn1B—Zn2xiv | 130.4 (7) | O1Biii—O2—Ti1Axv | 54.7 |
Ti1Axv—Zn1B—Zn2xiv | 72.96 (12) | O1Bi—O2—Ti1Axv | 125.3 |
Ti1A—Zn1B—Zn2xiv | 130.4 (7) | O1Bii—O2—Ti1Axv | 54.7 |
Zn2viii—Zn1B—Zn2xiv | 99.1 (17) | Ti1Aii—O2—Ti1Axv | 90.0 |
Ti1Bxi—Zn1B—Zn2xiii | 139 (3) | Ti1Aiv—O2—Ti1Axv | 180.0 |
Ti1Bx—Zn1B—Zn2xiii | 58.1 (7) | Ti1Axvi—O2—Ti1Axv | 90.0 |
Ti1Bxii—Zn1B—Zn2xiii | 58.1 (7) | Ti1Av—O2—Ti1Axv | 90.0 |
Ti1Axvi—Zn1B—Zn2xiii | 72.96 (12) | O1B—O2—Ti1A | 125.3 |
Ti1Axv—Zn1B—Zn2xiii | 130.4 (7) | O1Biii—O2—Ti1A | 125.3 |
Ti1A—Zn1B—Zn2xiii | 130.4 (7) | O1Bi—O2—Ti1A | 54.7 |
Zn2viii—Zn1B—Zn2xiii | 99.1 (17) | O1Bii—O2—Ti1A | 54.7 |
Zn2xiv—Zn1B—Zn2xiii | 99.1 (17) | Ti1Aii—O2—Ti1A | 180.0 |
Ti1Bxi—Zn1B—Ti1Bxv | 69.6 (4) | Ti1Aiv—O2—Ti1A | 90.0 |
Ti1Bx—Zn1B—Ti1Bxv | 166 (3) | Ti1Axvi—O2—Ti1A | 90.0 |
Ti1Bxii—Zn1B—Ti1Bxv | 69.6 (4) | Ti1Av—O2—Ti1A | 90.0 |
Ti1Axvi—Zn1B—Ti1Bxv | 90.8 (18) | Ti1Axv—O2—Ti1A | 90.0 |
Ti1Axv—Zn1B—Ti1Bxv | 18.4 (2) |
Symmetry codes: (i) −x+1/4, y, −z+1/4; (ii) −x+1/4, −y+1/4, z; (iii) x, −y+1/4, −z+1/4; (iv) z, −x+1/4, −y+1/4; (v) −y+1/4, z, −x+1/4; (vi) x+1/4, −y+1/2, z−1/4; (vii) x+1/4, y−1/4, −z+1/2; (viii) x, −y+3/4, −z+3/4; (ix) x, y−1/2, z−1/2; (x) −z+1/2, x−1/4, y+1/4; (xi) y+1/4, −z+1/2, x−1/4; (xii) x−1/4, y+1/4, −z+1/2; (xiii) −x+3/4, −y+3/4, z; (xiv) −x+3/4, y, −z+3/4; (xv) z, x, y; (xvi) y, z, x; (xvii) −y+1/2, −z+1/2, −x+1; (xviii) y+1/2, z+1/2, x; (xix) −z+1/2, −x+1, −y+1/2; (xx) z+1/2, x, y+1/2; (xxi) −x+1, −y+1/2, −z+1/2; (xxii) x, y+1/2, z+1/2; (xxiii) x+1/4, y+1/4, −z+1; (xxiv) −x+1, y+1/4, z+1/4; (xxv) x+1/4, −y+1, z+1/4; (xxvi) −x, −y, −z; (xxvii) x−1/4, y−1/4, −z; (xxviii) −z, x−1/4, y−1/4; (xxix) y−1/4, −z, x−1/4. |
Crystal I | Crystal II | ||||||
Element | Surface by EPMA | Surface by EPMA | Cross section by EPMA | Single crystal by XRD | |||
Mass% | Atom% | Mass% | Atom% | Mass% | Atom% | Atom% | |
O | 8.84 (7) | 25.6 (2) | 15.4 (4) | 37 (1) | 5.8 (7) | 18 (2) | 17.5 |
Ti | 39.8 (7) | 38.6 (7) | 39.0 (8) | 31.5 (6) | 55 (2) | 41 (2) | 41.3 |
Zn | 50.5 (2) | 35.8 (1) | 54 (3) | 32 (2) | 40 (2) | 41 (2) | 41.3 |
Total | 99.1 (9) | 100 | 109 (4) | 100 | 100 (2) | 100 (2) | 100.0 |
BVS | ||||||
O site occ. | O—Ti distance (Å) | R(Ti4+) | R(Ti3+) | R(Ti2+) | ||
Ti3Zn3O1.03 | O1—Ti16 | 1 | 2.13155 (16) ×6 | 2.550 | 2.390 | 2.049 |
O2—Ti16 | 0.070 (12) | 2.0788 (3) ×6 | 2.941 | 2.756 | 2.363 | |
Ti3Zn3O1.27 | O1A—Ti1A6 | 0.852 (10) | 2.1390 (4) ×6 | 2.499 | 2.343 | 2.008 |
O1B—Ti1A4Ti1B2 | 0.148 | 1.764 (7) ×2, 2.412 (12), 2.731 (7) ×2, 2.913 (8) | 2.714 | 2.544 | 2.181 | |
O2—Ti1A6 | 0.24 (2) | 2.09071 (4) ×6 | 2.848 | 2.669 | 2.288 |
Bond valence parameter: R(Ti4+) = 1.815 Å and R(Ti3+) = 1.791 Å (Brese & O'Keeffe, 1991); R(Ti2+) = 1.734 Å obtained from ε-TiO (Brese & O'Keeffe, 1991). |
Ti3Zn3O1.03 | Ti1—Ti1 | ×4 | 2.9398 (3) |
—Ti1 | ×4 | 3.0873 (4)? | |
—Zn1 | ×2 | 2.69846 (16) | |
—Zn1 | ×2 | 3.0290 (2) | |
—Zn2 | ×2 | 3.01991 (19) | |
Zn1—Zn1 | ×3 | 2.7454 (3) | |
—Zn2 | ×3 | 2.49685 (8) | |
Ti3Zn3O1.27 | Ti1A—Ti1A/B | ×4 | 2.9567 (6)/3.619 (7) |
—Ti1A/B | ×4 | 3.09185 (18)/2.990 (3) | |
—Zn1A/B | ×2 | 2.7050 (8)/2.39 (5) | |
—Zn1A/B | ×2 | 3.0307 (8)/3.00 (5) | |
—Zn2 | ×2 | 3.0228 (4) | |
Ti1B—Zn1A/B | ×2 | 2.296 (8)/2.346 (16) | |
—Zn1A/B | ×2 | 2.894 (7)/2.68 (3) | |
—Zn2 | ×2 | 2.455 (5) | |
Zn1A—Zn1A/B | ×3 | 2.7542 (16)/3.12 (5) | |
—Zn2 | ×3 | 2.5037 (3) | |
Zn1B—Zn1B | ×3 | 3.46 (7) | |
—Zn2 | ×3 | 2.68 (3) | |
O1B—O1B | ×1 | 1.69 (2) | |
O1B—O2 | ×1 | 1.653 (12) |