Supporting information
Crystallographic Information File (CIF) https://doi.org/10.1107/S2052520622009453/ra5117sup1.cif | |
Structure factor file (CIF format) https://doi.org/10.1107/S2052520622009453/ra5117zrmnsnga_300ksup2.hkl | |
Structure factor file (CIF format) https://doi.org/10.1107/S2052520622009453/ra5117zrmnsnga_100ksup3.hkl |
CCDC references: 2209554; 2211262; 2211263; 2211264
Cell refinement: SAINT V8.38A (Bruker, 2018) for zrmnsnga_300k, zrmnsnga_100k. Data reduction: SAINT V8.38A (Bruker, 2018) for zrmnsnga_300k, zrmnsnga_100k; DATARED (CFML-v.1) for ZrMnGaSn_neutron1, ZrMnGaSn_neutron2. Program(s) used to solve structure: SHELXS (Sheldrick, 2008) for zrmnsnga_300k, zrmnsnga_100k. Program(s) used to refine structure: SHELXL 2018/3 (Sheldrick, 2015) for zrmnsnga_300k, zrmnsnga_100k; FULLPROF for ZrMnGaSn_neutron1, ZrMnGaSn_neutron2. Molecular graphics: Olex2 1.3 (Dolomanov et al., 2009) for zrmnsnga_300k, zrmnsnga_100k. Software used to prepare material for publication: Olex2 1.3 (Dolomanov et al., 2009) for zrmnsnga_300k, zrmnsnga_100k.
GaMn3Sn4Zr3 | Dx = 7.900 Mg m−3 |
Mr = 982.96 | Mo Kα radiation, λ = 0.71073 Å |
Hexagonal, P63/mmc | Cell parameters from 9785 reflections |
a = 9.2073 (4) Å | θ = 4.4–43.1° |
c = 5.6287 (2) Å | µ = 22.99 mm−1 |
V = 413.24 (4) Å3 | T = 300 K |
Z = 2 | Needle, metallic gray |
F(000) = 852 | 0.11 × 0.10 × 0.09 mm |
Bruker APEX-II CCD diffractometer | 622 reflections with I > 2σ(I) |
φ and ω scans | Rint = 0.033 |
Absorption correction: multi-scan SADABS-2016/2 (Bruker,2016/2) was used for absorption correction. wR2(int) was 0.1473 before and 0.0451 after correction. The Ratio of minimum to maximum transmission is 0.6136. The λ/2 correction factor is Not present. | θmax = 43.2°, θmin = 2.6° |
Tmin = 0.459, Tmax = 0.749 | h = −17→17 |
36702 measured reflections | k = −17→17 |
622 independent reflections | l = −10→10 |
Refinement on F2 | Primary atom site location: structure-invariant direct methods |
Least-squares matrix: full | w = 1/[σ2(Fo2) + (0.0039P)2 + 2.0701P] where P = (Fo2 + 2Fc2)/3 |
R[F2 > 2σ(F2)] = 0.015 | (Δ/σ)max < 0.001 |
wR(F2) = 0.033 | Δρmax = 1.26 e Å−3 |
S = 1.36 | Δρmin = −1.43 e Å−3 |
622 reflections | Extinction correction: SHELXL-2018/3 (Sheldrick 2018), Fc*=kFc[1+0.001xFc2λ3/sin(2θ)]-1/4 |
18 parameters | Extinction coefficient: 0.0072 (3) |
0 restraints |
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 | ||
Sn1(6h) | 0.78917 (3) | 0.57834 (2) | 0.250000 | 0.00638 (5) | |
Sn2(2c) | 0.333333 | 0.666667 | 0.250000 | 0.00726 (6) | |
Zr1(6h) | 0.14705 (4) | 0.29409 (2) | 0.250000 | 0.00518 (6) | |
Ga1(2a) | 0.000000 | 0.000000 | 0.000000 | 0.00595 (9) | |
Mn1(6g) | 0.500000 | 0.000000 | 0.000000 | 0.00660 (7) |
U11 | U22 | U33 | U12 | U13 | U23 | |
Sn1(6h) | 0.00591 (6) | 0.00809 (8) | 0.00585 (7) | 0.00405 (4) | 0.00000 | 0.00000 |
Sn2(2c) | 0.00545 (8) | 0.00545 (8) | 0.01089 (14) | 0.00273 (4) | 0.00000 | 0.00000 |
Zr1(6h) | 0.00583 (8) | 0.00445 (10) | 0.00480 (10) | 0.00223 (5) | 0.00000 | 0.00000 |
Ga1(2a) | 0.00602 (13) | 0.00602 (13) | 0.0058 (2) | 0.00301 (6) | 0.00000 | 0.00000 |
Mn1(6g) | 0.00603 (11) | 0.00742 (16) | 0.00680 (15) | 0.00371 (8) | −0.00088 (7) | −0.00177 (13) |
Sn1—Zr1i | 2.9865 (2) | Sn2—Mn1xi | 3.0074 (1) |
Sn1—Zr1 | 2.9926 (2) | Sn2—Mn1xii | 3.0074 (1) |
Sn1—Zr1ii | 2.9865 (2) | Sn2—Mn1iv | 3.0074 (1) |
Sn1—Zr1iii | 2.9926 (2) | Zr1—Zr1ii | 3.6633 (2) |
Sn1—Mn1iv | 2.7692 (1) | Zr1—Ga1 | 2.7348 (3) |
Sn1—Mn1v | 2.7692 (1) | Zr1—Ga1ii | 2.7348 (3) |
Sn1—Mn1 | 2.7692 (1) | Zr1—Mn1iv | 3.1582 (2) |
Sn1—Mn1vi | 2.7692 (1) | Zr1—Mn1x | 3.1582 (2) |
Sn2—Zr1vii | 2.9708 (3) | Zr1—Mn1v | 3.1582 (2) |
Sn2—Zr1viii | 2.9708 (3) | Zr1—Mn1xi | 3.1582 (2) |
Sn2—Zr1 | 2.9708 (3) | Ga1—Ga1ii | 2.8144 (1) |
Sn2—Mn1ix | 3.0074 (1) | Ga1—Ga1v | 2.8144 (1) |
Sn2—Mn1x | 3.0074 (1) | Mn1—Mn1xiii | 2.8144 (1) |
Sn2—Mn1v | 3.0074 (1) | Mn1—Mn1iv | 2.8144 (1) |
Zr1i—Sn1—Zr1ii | 85.687 (14) | Ga1ii—Zr1—Mn1v | 102.504 (3) |
Zr1ii—Sn1—Zr1 | 75.567 (7) | Ga1—Zr1—Mn1x | 102.504 (3) |
Zr1i—Sn1—Zr1 | 75.567 (7) | Ga1—Zr1—Mn1xi | 102.504 (3) |
Zr1i—Sn1—Zr1iii | 75.567 (7) | Ga1—Zr1—Mn1iv | 132.457 (5) |
Zr1—Sn1—Zr1iii | 140.255 (15) | Ga1ii—Zr1—Mn1iv | 102.504 (3) |
Zr1ii—Sn1—Zr1iii | 75.568 (7) | Ga1ii—Zr1—Mn1xi | 132.457 (5) |
Mn1vi—Sn1—Zr1ii | 66.432 (5) | Ga1—Zr1—Mn1v | 132.457 (5) |
Mn1iv—Sn1—Zr1ii | 136.937 (7) | Ga1ii—Zr1—Mn1x | 132.457 (5) |
Mn1—Sn1—Zr1ii | 136.937 (7) | Mn1v—Zr1—Zr1ii | 54.552 (5) |
Mn1v—Sn1—Zr1ii | 66.432 (5) | Mn1xi—Zr1—Zr1ii | 155.888 (6) |
Mn1—Sn1—Zr1iii | 66.346 (3) | Mn1iv—Zr1—Zr1ii | 103.187 (4) |
Mn1iv—Sn1—Zr1i | 66.432 (5) | Mn1x—Zr1—Zr1ii | 96.007 (4) |
Mn1v—Sn1—Zr1i | 136.937 (7) | Mn1v—Zr1—Mn1x | 52.918 (4) |
Mn1—Sn1—Zr1i | 66.432 (5) | Mn1x—Zr1—Mn1iv | 117.352 (10) |
Mn1iv—Sn1—Zr1iii | 123.680 (2) | Mn1v—Zr1—Mn1iv | 93.578 (7) |
Mn1vi—Sn1—Zr1i | 136.937 (7) | Mn1v—Zr1—Mn1xi | 117.352 (10) |
Mn1v—Sn1—Zr1iii | 123.681 (2) | Mn1x—Zr1—Mn1xi | 93.578 (7) |
Mn1vi—Sn1—Zr1 | 123.680 (2) | Mn1iv—Zr1—Mn1xi | 52.918 (4) |
Mn1v—Sn1—Zr1 | 66.346 (3) | Zr1xiv—Ga1—Zr1xv | 95.904 (5) |
Mn1iv—Sn1—Zr1 | 66.346 (3) | Zr1xvi—Ga1—Zr1xvii | 95.904 (5) |
Mn1—Sn1—Zr1 | 123.680 (2) | Zr1xiv—Ga1—Zr1xvii | 84.096 (5) |
Mn1vi—Sn1—Zr1iii | 66.346 (3) | Zr1xvii—Ga1—Zr1xv | 180.0 |
Mn1—Sn1—Mn1v | 153.928 (9) | Zr1—Ga1—Zr1xvii | 84.096 (5) |
Mn1—Sn1—Mn1vi | 112.447 (4) | Zr1v—Ga1—Zr1xvii | 95.904 (5) |
Mn1iv—Sn1—Mn1vi | 153.928 (9) | Zr1xvi—Ga1—Zr1xv | 84.096 (5) |
Mn1vi—Sn1—Mn1v | 61.081 (3) | Zr1xiv—Ga1—Zr1v | 180.0 |
Mn1iv—Sn1—Mn1 | 61.081 (3) | Zr1—Ga1—Zr1xv | 95.904 (5) |
Mn1iv—Sn1—Mn1v | 112.447 (4) | Zr1xvi—Ga1—Zr1 | 180.0 |
Zr1viii—Sn2—Zr1 | 120.0 | Zr1v—Ga1—Zr1xv | 84.096 (5) |
Zr1viii—Sn2—Zr1vii | 120.0 | Zr1—Ga1—Zr1xiv | 95.904 (5) |
Zr1—Sn2—Zr1vii | 120.0 | Zr1xvi—Ga1—Zr1v | 95.904 (5) |
Zr1viii—Sn2—Mn1xii | 63.8 | Zr1—Ga1—Zr1v | 84.096 (5) |
Zr1vii—Sn2—Mn1iv | 152.102 (1) | Zr1xvi—Ga1—Zr1xiv | 84.096 (5) |
Zr1viii—Sn2—Mn1iv | 63.776 (1) | Zr1—Ga1—Ga1ii | 59.033 (4) |
Zr1vii—Sn2—Mn1xi | 152.102 (1) | Zr1xvi—Ga1—Ga1ii | 120.967 (4) |
Zr1—Sn2—Mn1x | 63.8 | Zr1—Ga1—Ga1v | 120.967 (4) |
Zr1—Sn2—Mn1iv | 63.8 | Zr1xiv—Ga1—Ga1ii | 59.033 (4) |
Zr1viii—Sn2—Mn1v | 152.102 (1) | Zr1xv—Ga1—Ga1v | 120.967 (4) |
Zr1vii—Sn2—Mn1x | 63.8 | Zr1v—Ga1—Ga1ii | 120.967 (4) |
Zr1vii—Sn2—Mn1v | 63.775 (1) | Zr1xiv—Ga1—Ga1v | 120.967 (4) |
Zr1vii—Sn2—Mn1xii | 63.776 (1) | Zr1xvii—Ga1—Ga1ii | 120.967 (4) |
Zr1—Sn2—Mn1ix | 152.102 (1) | Zr1xvii—Ga1—Ga1v | 59.033 (4) |
Zr1—Sn2—Mn1v | 63.8 | Zr1xv—Ga1—Ga1ii | 59.033 (4) |
Zr1vii—Sn2—Mn1ix | 63.8 | Zr1xvi—Ga1—Ga1v | 59.033 (4) |
Zr1viii—Sn2—Mn1x | 152.102 (1) | Zr1v—Ga1—Ga1v | 59.033 (4) |
Zr1viii—Sn2—Mn1xi | 63.776 (1) | Ga1ii—Ga1—Ga1v | 180.0 |
Zr1—Sn2—Mn1xii | 152.102 (1) | Sn1—Mn1—Sn1xviii | 180.0 |
Zr1—Sn2—Mn1xi | 63.8 | Sn1xix—Mn1—Sn1viii | 180.0 |
Zr1viii—Sn2—Mn1ix | 63.8 | Sn1xviii—Mn1—Sn1viii | 104.684 (9) |
Mn1ix—Sn2—Mn1xi | 127.551 (1) | Sn1—Mn1—Sn1xix | 104.684 (9) |
Mn1xi—Sn2—Mn1xii | 99.881 (2) | Sn1xviii—Mn1—Sn1xix | 75.316 (9) |
Mn1xii—Sn2—Mn1x | 99.881 (2) | Sn1—Mn1—Sn1viii | 75.316 (9) |
Mn1v—Sn2—Mn1x | 55.796 (2) | Sn1—Mn1—Sn2iii | 72.617 (3) |
Mn1xi—Sn2—Mn1x | 99.881 (1) | Sn1—Mn1—Sn2xx | 107.383 (3) |
Mn1ix—Sn2—Mn1v | 99.881 (1) | Sn1xix—Mn1—Sn2xx | 72.617 (3) |
Mn1ix—Sn2—Mn1xii | 55.796 (2) | Sn1xviii—Mn1—Sn2iii | 107.383 (3) |
Mn1xi—Sn2—Mn1v | 127.6 | Sn1xviii—Mn1—Sn2xx | 72.617 (3) |
Mn1ix—Sn2—Mn1x | 127.551 (1) | Sn1xix—Mn1—Sn2iii | 107.383 (3) |
Mn1iv—Sn2—Mn1v | 99.881 (2) | Sn1viii—Mn1—Sn2iii | 72.617 (3) |
Mn1iv—Sn2—Mn1x | 127.6 | Sn1viii—Mn1—Sn2xx | 107.383 (3) |
Mn1xii—Sn2—Mn1v | 127.551 (1) | Sn1xviii—Mn1—Zr1iii | 119.780 (4) |
Mn1xi—Sn2—Mn1iv | 55.796 (3) | Sn1xviii—Mn1—Zr1xxi | 60.084 (6) |
Mn1ix—Sn2—Mn1iv | 99.881 (2) | Sn1viii—Mn1—Zr1xxi | 60.220 (3) |
Mn1iv—Sn2—Mn1xii | 127.551 (1) | Sn1viii—Mn1—Zr1iii | 119.917 (6) |
Sn1v—Zr1—Sn1i | 154.313 (14) | Sn1xix—Mn1—Zr1xxi | 119.780 (4) |
Sn1xi—Zr1—Sn1 | 140.255 (15) | Sn1xviii—Mn1—Zr1xx | 60.220 (4) |
Sn1v—Zr1—Sn1 | 94.334 (1) | Sn1—Mn1—Zr1iii | 60.220 (4) |
Sn1v—Zr1—Sn1xi | 94.333 (1) | Sn1viii—Mn1—Zr1xx | 60.083 (6) |
Sn1i—Zr1—Sn1xi | 94.334 (1) | Sn1xix—Mn1—Zr1iii | 60.083 (6) |
Sn1i—Zr1—Sn1 | 94.334 (1) | Sn1—Mn1—Zr1i | 60.084 (6) |
Sn1v—Zr1—Zr1ii | 52.291 (5) | Sn1—Mn1—Zr1xx | 119.780 (3) |
Sn1xi—Zr1—Zr1ii | 146.234 (4) | Sn1xviii—Mn1—Zr1i | 119.916 (6) |
Sn1i—Zr1—Zr1ii | 117.993 (2) | Sn1xix—Mn1—Zr1xx | 119.917 (6) |
Sn1—Zr1—Zr1ii | 52.142 (4) | Sn1viii—Mn1—Zr1i | 119.780 (4) |
Sn1—Zr1—Mn1xi | 104.023 (8) | Sn1—Mn1—Zr1xxi | 119.916 (6) |
Sn1v—Zr1—Mn1xi | 145.707 (6) | Sn1xix—Mn1—Zr1i | 60.220 (4) |
Sn1xi—Zr1—Mn1iv | 104.023 (8) | Sn1xviii—Mn1—Mn1iv | 120.540 (2) |
Sn1i—Zr1—Mn1v | 145.707 (6) | Sn1—Mn1—Mn1iv | 59.460 (2) |
Sn1xi—Zr1—Mn1xi | 53.434 (3) | Sn1viii—Mn1—Mn1xiii | 120.540 (2) |
Sn1xi—Zr1—Mn1v | 104.023 (8) | Sn1xix—Mn1—Mn1iv | 120.540 (2) |
Sn1—Zr1—Mn1iv | 53.434 (3) | Sn1xix—Mn1—Mn1xiii | 59.460 (2) |
Sn1—Zr1—Mn1x | 104.023 (8) | Sn1viii—Mn1—Mn1iv | 59.460 (2) |
Sn1i—Zr1—Mn1xi | 53.484 (3) | Sn1—Mn1—Mn1xiii | 120.540 (2) |
Sn1v—Zr1—Mn1iv | 145.707 (6) | Sn1xviii—Mn1—Mn1xiii | 59.460 (2) |
Sn1—Zr1—Mn1v | 53.434 (3) | Sn2iii—Mn1—Sn2xx | 180.0 |
Sn1i—Zr1—Mn1iv | 53.485 (3) | Sn2xx—Mn1—Zr1iii | 122.451 (5) |
Sn1v—Zr1—Mn1v | 53.485 (3) | Sn2xx—Mn1—Zr1xxi | 122.452 (5) |
Sn1i—Zr1—Mn1x | 145.707 (6) | Sn2iii—Mn1—Zr1iii | 57.549 (5) |
Sn1xi—Zr1—Mn1x | 53.434 (3) | Sn2xx—Mn1—Zr1xx | 57.549 (5) |
Sn1v—Zr1—Mn1x | 53.485 (3) | Sn2iii—Mn1—Zr1xx | 122.451 (5) |
Sn2—Zr1—Sn1i | 102.844 (7) | Sn2iii—Mn1—Zr1xxi | 57.548 (5) |
Sn2—Zr1—Sn1xi | 70.128 (7) | Sn2iii—Mn1—Zr1i | 122.452 (5) |
Sn2—Zr1—Sn1 | 70.127 (7) | Sn2xx—Mn1—Zr1i | 57.548 (5) |
Sn2—Zr1—Sn1v | 102.844 (7) | Zr1i—Mn1—Zr1iii | 70.895 (9) |
Sn2—Zr1—Zr1ii | 108.667 (2) | Zr1i—Mn1—Zr1xx | 109.105 (9) |
Sn2—Zr1—Mn1v | 58.676 (5) | Zr1i—Mn1—Zr1xxi | 180.0 |
Sn2—Zr1—Mn1x | 58.676 (5) | Zr1xxi—Mn1—Zr1iii | 109.105 (9) |
Sn2—Zr1—Mn1iv | 58.676 (5) | Zr1xxi—Mn1—Zr1xx | 70.895 (9) |
Sn2—Zr1—Mn1xi | 58.676 (5) | Zr1iii—Mn1—Zr1xx | 180.0 |
Ga1—Zr1—Sn1xi | 78.905 (6) | Mn1xiii—Mn1—Sn2iii | 62.102 (1) |
Ga1ii—Zr1—Sn1 | 78.906 (6) | Mn1iv—Mn1—Sn2iii | 117.898 (1) |
Ga1ii—Zr1—Sn1i | 79.012 (6) | Mn1xiii—Mn1—Sn2xx | 117.898 (1) |
Ga1ii—Zr1—Sn1xi | 140.839 (10) | Mn1iv—Mn1—Sn2xx | 62.102 (1) |
Ga1—Zr1—Sn1i | 79.012 (6) | Mn1xiii—Mn1—Zr1xxi | 63.541 (2) |
Ga1ii—Zr1—Sn1v | 79.012 (6) | Mn1iv—Mn1—Zr1xx | 63.541 (2) |
Ga1—Zr1—Sn1 | 140.839 (10) | Mn1xiii—Mn1—Zr1i | 116.459 (2) |
Ga1—Zr1—Sn1v | 79.012 (6) | Mn1xiii—Mn1—Zr1iii | 63.541 (2) |
Ga1—Zr1—Sn2 | 149.033 (4) | Mn1iv—Mn1—Zr1iii | 116.459 (2) |
Ga1ii—Zr1—Sn2 | 149.033 (4) | Mn1iv—Mn1—Zr1i | 63.541 (2) |
Ga1ii—Zr1—Zr1ii | 47.952 (2) | Mn1xiii—Mn1—Zr1xx | 116.459 (2) |
Ga1—Zr1—Zr1ii | 96.942 (6) | Mn1iv—Mn1—Zr1xxi | 116.459 (2) |
Ga1—Zr1—Ga1ii | 61.934 (7) | Mn1xiii—Mn1—Mn1iv | 180.0 |
Symmetry codes: (i) y, −x+y, −z; (ii) x−y, x, z+1/2; (iii) x, y, z+1; (iv) −x+1, −y, z−1/2; (v) x−y, x, z−1/2; (vi) −x+y+1, −x+1, z; (vii) −x+y+1, −x+1, −z−1/2; (viii) −y+1, x−y, z; (ix) y+1, −x+y+1, z−1/2; (x) −x+y+1, −x+1, z−1; (xi) x, y, z−1; (xii) −y+1, x−y, z−1; (xiii) −x+1, −y, z+1/2; (xiv) −x+y, −x, −z−1/2; (xv) −y, x−y, z; (xvi) −x, −y, −z−1; (xvii) y, −x+y, −z−1; (xviii) −x+1, −y, −z+1; (xix) y, −x+y, −z+1; (xx) −x+1, −y, −z; (xxi) −y+1, x−y, z+1. |
GaMn3Sn4Zr3 | Dx = 7.944 Mg m−3 |
Mr = 982.96 | Mo Kα radiation, λ = 0.71073 Å |
Hexagonal, P63/mmc | Cell parameters from 9901 reflections |
a = 9.1953 (18) Å | θ = 2.6–43.0° |
c = 5.6118 (11) Å | µ = 23.12 mm−1 |
V = 410.93 (18) Å3 | T = 100 K |
Z = 2 | Needle, metallic gray |
F(000) = 852 | 0.11 × 0.10 × 0.09 mm |
Bruker APEX-II CCD diffractometer | 618 reflections with I > 2σ(I) |
φ and ω scans | Rint = 0.059 |
Absorption correction: multi-scan SADABS-2016/2 (Bruker,2016/2) was used for absorption correction. wR2(int) was 0.1419 before and 0.0893 after correction. The Ratio of minimum to maximum transmission is 0.6091. The λ/2 correction factor is Not present. | θmax = 43.0°, θmin = 2.6° |
Tmin = 0.456, Tmax = 0.749 | h = −17→17 |
27596 measured reflections | k = −17→17 |
618 independent reflections | l = −10→10 |
Refinement on F2 | Primary atom site location: structure-invariant direct methods |
Least-squares matrix: full | w = 1/[σ2(Fo2) + (0.005P)2 + 4.8232P] where P = (Fo2 + 2Fc2)/3 |
R[F2 > 2σ(F2)] = 0.022 | (Δ/σ)max < 0.001 |
wR(F2) = 0.047 | Δρmax = 2.06 e Å−3 |
S = 1.32 | Δρmin = −2.41 e Å−3 |
618 reflections | Extinction correction: SHELXL-2018/3 (Sheldrick 2018), Fc*=kFc[1+0.001xFc2λ3/sin(2θ)]-1/4 |
18 parameters | Extinction coefficient: 0.0061 (3) |
0 restraints |
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 | ||
Sn1(6h) | 0.78887 (4) | 0.57774 (2) | 0.250000 | 0.00261 (6) | |
Sn2(2c) | 0.333333 | 0.666667 | 0.250000 | 0.00265 (8) | |
Zr1(6h) | 0.14700 (5) | 0.29401 (3) | 0.250000 | 0.00204 (8) | |
Ga1(2a) | 0.000000 | 0.000000 | 0.000000 | 0.00282 (12) | |
Mn1(6g) | 0.500000 | 0.000000 | 0.000000 | 0.00248 (10) |
U11 | U22 | U33 | U12 | U13 | U23 | |
Sn1(6h) | 0.00224 (8) | 0.00307 (10) | 0.00282 (10) | 0.00153 (5) | 0.00000 | 0.00000 |
Sn2(2c) | 0.00158 (10) | 0.00158 (10) | 0.00480 (17) | 0.00079 (5) | 0.00000 | 0.00000 |
Zr1(6h) | 0.00201 (11) | 0.00128 (14) | 0.00260 (14) | 0.00064 (7) | 0.00000 | 0.00000 |
Ga1(2a) | 0.00262 (17) | 0.00262 (17) | 0.0032 (3) | 0.00131 (8) | 0.00000 | 0.00000 |
Mn1(6g) | 0.00208 (15) | 0.0025 (2) | 0.0030 (2) | 0.00125 (10) | −0.00022 (8) | −0.00044 (17) |
Sn1—Zr1i | 2.9860 (6) | Sn2—Mn1xi | 3.0024 (5) |
Sn1—Zr1 | 2.9860 (5) | Sn2—Mn1xii | 3.0024 (5) |
Sn1—Zr1ii | 2.9859 (6) | Sn2—Mn1vi | 3.0024 (5) |
Sn1—Zr1iii | 2.9860 (6) | Zr1—Zr1ii | 3.6544 (6) |
Sn1—Mn1iv | 2.7633 (4) | Zr1—Ga1 | 2.7295 (6) |
Sn1—Mn1 | 2.7633 (4) | Zr1—Ga1ii | 2.7295 (6) |
Sn1—Mn1v | 2.7633 (4) | Zr1—Mn1vi | 3.1534 (6) |
Sn1—Mn1vi | 2.7633 (4) | Zr1—Mn1x | 3.1534 (6) |
Sn2—Zr1vii | 2.9676 (7) | Zr1—Mn1v | 3.1534 (6) |
Sn2—Zr1viii | 2.9675 (7) | Zr1—Mn1xi | 3.1534 (6) |
Sn2—Zr1 | 2.9676 (7) | Ga1—Ga1ii | 2.8059 (5) |
Sn2—Mn1ix | 3.0024 (5) | Ga1—Ga1v | 2.8059 (5) |
Sn2—Mn1x | 3.0024 (5) | Mn1—Mn1xiii | 2.8059 (5) |
Sn2—Mn1v | 3.0024 (5) | Mn1—Mn1vi | 2.8059 (5) |
Zr1i—Sn1—Zr1ii | 85.540 (18) | Ga1ii—Zr1—Mn1v | 102.564 (9) |
Zr1ii—Sn1—Zr1 | 75.458 (10) | Ga1—Zr1—Mn1x | 102.564 (9) |
Zr1i—Sn1—Zr1 | 75.458 (10) | Ga1—Zr1—Mn1xi | 102.564 (9) |
Zr1i—Sn1—Zr1iii | 75.458 (10) | Ga1—Zr1—Mn1vi | 132.446 (7) |
Zr1—Sn1—Zr1iii | 140.00 (2) | Ga1ii—Zr1—Mn1vi | 102.564 (9) |
Zr1ii—Sn1—Zr1iii | 75.458 (10) | Ga1ii—Zr1—Mn1xi | 132.446 (7) |
Mn1vi—Sn1—Zr1ii | 136.832 (10) | Ga1—Zr1—Mn1v | 132.446 (7) |
Mn1iv—Sn1—Zr1ii | 66.394 (7) | Ga1ii—Zr1—Mn1x | 132.446 (7) |
Mn1v—Sn1—Zr1ii | 66.394 (7) | Mn1v—Zr1—Zr1ii | 54.588 (7) |
Mn1—Sn1—Zr1ii | 136.832 (10) | Mn1xi—Zr1—Zr1ii | 155.885 (8) |
Mn1v—Sn1—Zr1iii | 123.621 (6) | Mn1vi—Zr1—Zr1ii | 103.268 (14) |
Mn1iv—Sn1—Zr1i | 136.833 (10) | Mn1x—Zr1—Zr1ii | 95.956 (11) |
Mn1—Sn1—Zr1i | 66.393 (7) | Mn1v—Zr1—Mn1x | 52.835 (14) |
Mn1v—Sn1—Zr1i | 136.833 (10) | Mn1x—Zr1—Mn1vi | 117.310 (14) |
Mn1iv—Sn1—Zr1iii | 66.393 (9) | Mn1v—Zr1—Mn1vi | 93.607 (11) |
Mn1vi—Sn1—Zr1i | 66.393 (7) | Mn1v—Zr1—Mn1xi | 117.310 (14) |
Mn1—Sn1—Zr1iii | 66.394 (9) | Mn1x—Zr1—Mn1xi | 93.607 (11) |
Mn1vi—Sn1—Zr1 | 66.393 (10) | Mn1vi—Zr1—Mn1xi | 52.835 (14) |
Mn1—Sn1—Zr1 | 123.621 (6) | Zr1v—Ga1—Zr1xiv | 84.048 (11) |
Mn1iv—Sn1—Zr1 | 123.621 (6) | Zr1xv—Ga1—Zr1xvi | 95.952 (11) |
Mn1v—Sn1—Zr1 | 66.393 (9) | Zr1v—Ga1—Zr1xvi | 95.952 (11) |
Mn1vi—Sn1—Zr1iii | 123.622 (6) | Zr1xvi—Ga1—Zr1xiv | 180.0 |
Mn1v—Sn1—Mn1 | 154.110 (12) | Zr1xvii—Ga1—Zr1xvi | 84.048 (11) |
Mn1v—Sn1—Mn1vi | 112.589 (13) | Zr1—Ga1—Zr1xvi | 84.047 (11) |
Mn1iv—Sn1—Mn1vi | 154.110 (12) | Zr1xv—Ga1—Zr1xiv | 84.048 (11) |
Mn1vi—Sn1—Mn1 | 61.021 (14) | Zr1v—Ga1—Zr1 | 84.047 (11) |
Mn1iv—Sn1—Mn1v | 61.021 (14) | Zr1xvii—Ga1—Zr1xiv | 95.952 (11) |
Mn1iv—Sn1—Mn1 | 112.589 (13) | Zr1xv—Ga1—Zr1xvii | 84.047 (11) |
Zr1viii—Sn2—Zr1 | 120.0 | Zr1—Ga1—Zr1xiv | 95.953 (11) |
Zr1viii—Sn2—Zr1vii | 120.0 | Zr1xvii—Ga1—Zr1v | 180.0 |
Zr1—Sn2—Zr1vii | 120.0 | Zr1xv—Ga1—Zr1 | 180.0 |
Zr1viii—Sn2—Mn1xii | 63.765 (2) | Zr1xvii—Ga1—Zr1 | 95.953 (11) |
Zr1vii—Sn2—Mn1vi | 152.142 (6) | Zr1xv—Ga1—Zr1v | 95.953 (11) |
Zr1viii—Sn2—Mn1vi | 63.765 (2) | Zr1xvii—Ga1—Ga1ii | 59.069 (8) |
Zr1vii—Sn2—Mn1xi | 152.142 (6) | Zr1xv—Ga1—Ga1ii | 120.931 (8) |
Zr1—Sn2—Mn1x | 63.765 (1) | Zr1xvii—Ga1—Ga1v | 120.931 (8) |
Zr1—Sn2—Mn1vi | 63.765 (1) | Zr1v—Ga1—Ga1ii | 120.931 (8) |
Zr1viii—Sn2—Mn1v | 152.142 (6) | Zr1xiv—Ga1—Ga1v | 120.930 (8) |
Zr1vii—Sn2—Mn1x | 63.764 (2) | Zr1—Ga1—Ga1ii | 59.070 (8) |
Zr1vii—Sn2—Mn1v | 63.764 (1) | Zr1v—Ga1—Ga1v | 59.069 (8) |
Zr1vii—Sn2—Mn1xii | 63.766 (2) | Zr1xvi—Ga1—Ga1ii | 120.930 (8) |
Zr1—Sn2—Mn1ix | 152.142 (6) | Zr1xvi—Ga1—Ga1v | 59.070 (8) |
Zr1—Sn2—Mn1v | 63.765 (1) | Zr1xiv—Ga1—Ga1ii | 59.070 (8) |
Zr1vii—Sn2—Mn1ix | 63.766 (2) | Zr1xv—Ga1—Ga1v | 59.069 (8) |
Zr1viii—Sn2—Mn1x | 152.142 (6) | Zr1—Ga1—Ga1v | 120.931 (8) |
Zr1viii—Sn2—Mn1xi | 63.765 (2) | Ga1ii—Ga1—Ga1v | 180.0 |
Zr1—Sn2—Mn1xii | 152.142 (6) | Sn1—Mn1—Sn1xviii | 104.827 (13) |
Zr1—Sn2—Mn1xi | 63.765 (2) | Sn1viii—Mn1—Sn1xix | 104.827 (12) |
Zr1viii—Sn2—Mn1ix | 63.765 (2) | Sn1xviii—Mn1—Sn1xix | 75.173 (12) |
Mn1ix—Sn2—Mn1xi | 127.530 (4) | Sn1—Mn1—Sn1viii | 75.173 (13) |
Mn1xi—Sn2—Mn1xii | 99.932 (8) | Sn1xviii—Mn1—Sn1viii | 180.0 |
Mn1xii—Sn2—Mn1x | 99.932 (8) | Sn1—Mn1—Sn1xix | 180.0 |
Mn1v—Sn2—Mn1x | 55.715 (13) | Sn1—Mn1—Sn2iii | 72.501 (11) |
Mn1xi—Sn2—Mn1x | 99.932 (8) | Sn1—Mn1—Sn2xx | 107.499 (11) |
Mn1ix—Sn2—Mn1v | 99.932 (8) | Sn1viii—Mn1—Sn2xx | 107.499 (10) |
Mn1ix—Sn2—Mn1xii | 55.715 (13) | Sn1xviii—Mn1—Sn2iii | 107.499 (12) |
Mn1xi—Sn2—Mn1v | 127.530 (3) | Sn1xviii—Mn1—Sn2xx | 72.501 (12) |
Mn1ix—Sn2—Mn1x | 127.530 (4) | Sn1viii—Mn1—Sn2iii | 72.501 (12) |
Mn1vi—Sn2—Mn1v | 99.932 (8) | Sn1xix—Mn1—Sn2iii | 107.498 (11) |
Mn1vi—Sn2—Mn1x | 127.530 (4) | Sn1xix—Mn1—Sn2xx | 72.502 (11) |
Mn1xii—Sn2—Mn1v | 127.530 (4) | Sn1xviii—Mn1—Zr1iii | 60.190 (8) |
Mn1xi—Sn2—Mn1vi | 55.715 (13) | Sn1xviii—Mn1—Zr1xxi | 119.810 (13) |
Mn1ix—Sn2—Mn1vi | 99.932 (8) | Sn1xix—Mn1—Zr1xxi | 60.191 (9) |
Mn1vi—Sn2—Mn1xii | 127.530 (4) | Sn1xix—Mn1—Zr1iii | 119.810 (13) |
Sn1v—Zr1—Sn1xi | 94.336 (1) | Sn1viii—Mn1—Zr1xxi | 60.190 (13) |
Sn1i—Zr1—Sn1 | 94.336 (2) | Sn1xviii—Mn1—Zr1xx | 119.810 (8) |
Sn1v—Zr1—Sn1 | 94.336 (2) | Sn1—Mn1—Zr1iii | 60.190 (13) |
Sn1v—Zr1—Sn1i | 154.460 (18) | Sn1xix—Mn1—Zr1xx | 60.190 (13) |
Sn1xi—Zr1—Sn1i | 94.336 (2) | Sn1viii—Mn1—Zr1iii | 119.810 (8) |
Sn1xi—Zr1—Sn1 | 140.00 (2) | Sn1—Mn1—Zr1i | 60.191 (8) |
Sn1v—Zr1—Zr1ii | 52.271 (10) | Sn1—Mn1—Zr1xx | 119.810 (13) |
Sn1i—Zr1—Zr1ii | 118.054 (6) | Sn1xviii—Mn1—Zr1i | 60.190 (13) |
Sn1xi—Zr1—Zr1ii | 146.209 (8) | Sn1viii—Mn1—Zr1xx | 60.190 (8) |
Sn1—Zr1—Zr1ii | 52.270 (11) | Sn1xix—Mn1—Zr1i | 119.810 (8) |
Sn1—Zr1—Mn1xi | 103.895 (14) | Sn1—Mn1—Zr1xxi | 119.809 (8) |
Sn1v—Zr1—Mn1xi | 145.686 (9) | Sn1viii—Mn1—Zr1i | 119.810 (13) |
Sn1i—Zr1—Mn1vi | 53.417 (5) | Sn1xviii—Mn1—Mn1vi | 120.511 (7) |
Sn1xi—Zr1—Mn1v | 103.896 (14) | Sn1—Mn1—Mn1vi | 59.489 (7) |
Sn1i—Zr1—Mn1xi | 53.417 (4) | Sn1xix—Mn1—Mn1xiii | 59.489 (7) |
Sn1i—Zr1—Mn1v | 145.686 (10) | Sn1viii—Mn1—Mn1vi | 59.489 (7) |
Sn1—Zr1—Mn1vi | 53.416 (6) | Sn1viii—Mn1—Mn1xiii | 120.511 (7) |
Sn1—Zr1—Mn1x | 103.895 (13) | Sn1xix—Mn1—Mn1vi | 120.511 (7) |
Sn1xi—Zr1—Mn1xi | 53.416 (6) | Sn1—Mn1—Mn1xiii | 120.511 (7) |
Sn1v—Zr1—Mn1vi | 145.686 (9) | Sn1xviii—Mn1—Mn1xiii | 59.489 (7) |
Sn1—Zr1—Mn1v | 53.416 (6) | Sn2iii—Mn1—Sn2xx | 180.0 |
Sn1xi—Zr1—Mn1vi | 103.896 (13) | Sn2xx—Mn1—Zr1iii | 122.419 (8) |
Sn1v—Zr1—Mn1v | 53.416 (5) | Sn2xx—Mn1—Zr1xxi | 122.421 (7) |
Sn1xi—Zr1—Mn1x | 53.416 (6) | Sn2iii—Mn1—Zr1iii | 57.581 (7) |
Sn1i—Zr1—Mn1x | 145.686 (10) | Sn2xx—Mn1—Zr1xx | 57.581 (7) |
Sn1v—Zr1—Mn1x | 53.416 (5) | Sn2iii—Mn1—Zr1xx | 122.419 (8) |
Sn2—Zr1—Sn1xi | 70.000 (11) | Sn2iii—Mn1—Zr1xxi | 57.579 (7) |
Sn2—Zr1—Sn1i | 102.770 (9) | Sn2iii—Mn1—Zr1i | 122.421 (7) |
Sn2—Zr1—Sn1 | 69.999 (11) | Sn2xx—Mn1—Zr1i | 57.579 (7) |
Sn2—Zr1—Sn1v | 102.770 (9) | Zr1i—Mn1—Zr1iii | 70.824 (15) |
Sn2—Zr1—Zr1ii | 108.683 (4) | Zr1i—Mn1—Zr1xx | 109.176 (15) |
Sn2—Zr1—Mn1v | 58.655 (7) | Zr1i—Mn1—Zr1xxi | 180.0 |
Sn2—Zr1—Mn1x | 58.655 (7) | Zr1xxi—Mn1—Zr1iii | 109.176 (15) |
Sn2—Zr1—Mn1vi | 58.655 (7) | Zr1xxi—Mn1—Zr1xx | 70.824 (15) |
Sn2—Zr1—Mn1xi | 58.655 (7) | Zr1iii—Mn1—Zr1xx | 180.0 |
Ga1—Zr1—Sn1i | 79.070 (8) | Mn1xiii—Mn1—Sn2iii | 62.142 (7) |
Ga1ii—Zr1—Sn1 | 79.070 (14) | Mn1vi—Mn1—Sn2iii | 117.858 (7) |
Ga1ii—Zr1—Sn1xi | 140.931 (14) | Mn1xiii—Mn1—Sn2xx | 117.858 (7) |
Ga1ii—Zr1—Sn1i | 79.070 (8) | Mn1vi—Mn1—Sn2xx | 62.142 (7) |
Ga1—Zr1—Sn1xi | 79.070 (14) | Mn1xiii—Mn1—Zr1xxi | 63.582 (7) |
Ga1ii—Zr1—Sn1v | 79.070 (8) | Mn1vi—Mn1—Zr1xx | 63.583 (7) |
Ga1—Zr1—Sn1 | 140.931 (14) | Mn1xiii—Mn1—Zr1i | 116.418 (7) |
Ga1—Zr1—Sn1v | 79.070 (8) | Mn1xiii—Mn1—Zr1iii | 63.583 (7) |
Ga1—Zr1—Sn2 | 149.070 (8) | Mn1vi—Mn1—Zr1iii | 116.417 (7) |
Ga1ii—Zr1—Sn2 | 149.070 (8) | Mn1vi—Mn1—Zr1i | 63.582 (7) |
Ga1ii—Zr1—Zr1ii | 47.976 (6) | Mn1xiii—Mn1—Zr1xx | 116.417 (7) |
Ga1—Zr1—Zr1ii | 96.885 (13) | Mn1vi—Mn1—Zr1xxi | 116.418 (7) |
Ga1—Zr1—Ga1ii | 61.861 (17) | Mn1xiii—Mn1—Mn1vi | 180.0 |
Symmetry codes: (i) y, −x+y, −z; (ii) x−y, x, z+1/2; (iii) x, y, z+1; (iv) −x+y+1, −x+1, z; (v) x−y, x, z−1/2; (vi) −x+1, −y, z−1/2; (vii) −x+y+1, −x+1, −z−1/2; (viii) −y+1, x−y, z; (ix) y+1, −x+y+1, z−1/2; (x) −x+y+1, −x+1, z−1; (xi) x, y, z−1; (xii) −y+1, x−y, z−1; (xiii) −x+1, −y, z+1/2; (xiv) −y, x−y, z; (xv) −x, −y, −z−1; (xvi) y, −x+y, −z−1; (xvii) −x+y, −x, −z−1/2; (xviii) y, −x+y, −z+1; (xix) −x+1, −y, −z+1; (xx) −x+1, −y, −z; (xxi) −y+1, x−y, z+1. |
Hexagonal, P63/mmc | c = 5.63860 Å |
Hall symbol: -P 6c 2c | V = 414.31 Å3 |
a = 9.21110 Å | Constant Wavelength Neutron Diffraction radiation, λ = 1.38300 Å |
Radiation source: nuclear reactor | 50 independent reflections |
300 measured reflections | Rint = 0.075 |
R[F2 > 2σ(F2)] = 0.059 | 9 parameters |
wR(F2) = 0.091 | 0 restraints |
50 reflections | 3 constraints |
x | y | z | Uiso*/Ueq | Occ. (<1) | |
Sn1(6h) | 0.7885 (5) | 0.5770 (5) | 0.250000 | 0.020 (3)* | |
Sn2(2c) | 0.333333 | 0.666667 | 0.250000 | 0.027 (5)* | |
Zr1(6h) | 0.1473 (4) | 0.2946 (4) | 0.250000 | 0.012 (3)* | 0.935 (12) |
Zr2(6g) | 0.500000 | 0.000000 | 0.000000 | 0.000 (5)* | 0.065 (12) |
Ga1(2a) | 0.000000 | 0.000000 | 0.000000 | 0.017 (4)* | |
Mn1(6g) | 0.500000 | 0.000000 | 0.000000 | 0.000 (5)* | 0.935 (12) |
Mn2(6h) | 0.1473 (4) | 0.2946 (4) | 0.250000 | 0.012 (3)* | 0.065 (12) |
Hexagonal, P63/mmc | c = 5.63860 Å |
Hall symbol: -P 6c 2c | V = 414.31 Å3 |
a = 9.21110 Å | Constant Wavelength Neutron Diffraction radiation, λ = 1.38300 Å |
Radiation source: nuclear reactor | 50 independent reflections |
300 measured reflections | Rint = 0.075 |
x | y | z | Uiso*/Ueq | ||
Sn1(6h) | 0.7884 (7) | 0.5768 (7) | 0.250000 | 0.010 (3)* | |
Sn2(2c) | 0.333333 | 0.666667 | 0.250000 | 0.027630* | |
Zr1(6h) | 0.1475 (5) | 0.2950 (5) | 0.250000 | 0.014 (4)* | |
Ga1(2a) | 0.000000 | 0.000000 | 0.000000 | 0.006 (4)* | |
Mn1(6g) | 0.500000 | 0.000000 | 0.000000 | 0.019 (5)* |