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Alloys from the ternary Li–Al–Sn system have been investigated with respect to possible applications as negative electrode materials in Li-ion batteries. This led to the discovery of a new ternary compound, a superstructure of the Li13Sn5 binary compound. The ternary stannide, Li9Al4Sn5 (nona­lithium tetra­aluminium penta­stannide; trigonal, P\overline{3}m1, hP18), crystallizes as a new structure type, which is an ordered variant of the binary Li13Sn5 structure type. One Li and one Sn site have \overline{3}m. symmetry, and all other atoms occupy sites of 3m. symmetry. The polyhedra around all types of atoms are rhombic dodeca­hedra. The electronic structure was calculated by the tight-binding linear muffin-tin orbital atomic spheres approximation method. The electron concentration is higher around the Sn and Al atoms, which form an [Al4Sn5]m− polyanion.

Supporting information

cif

Crystallographic Information File (CIF) https://doi.org/10.1107/S205322961700420X/yo3033sup1.cif
Contains datablocks I, New_Global_Publ_Block

hkl

Structure factor file (CIF format) https://doi.org/10.1107/S205322961700420X/yo3033Isup2.hkl
Contains datablock I

CCDC reference: 1538122

Computing details top

Data collection: CrysAlis CCD (Oxford Diffraction, 2008); cell refinement: CrysAlis CCD (Oxford Diffraction, 2008); data reduction: CrysAlis RED (Oxford Diffraction, 2008); program(s) used to solve structure: SHELXS2014 (Sheldrick, 2008); program(s) used to refine structure: SHELXL2014 (Sheldrick, 2015); molecular graphics: DIAMOND (Brandenburg, 2006); software used to prepare material for publication: SHELXL2014 (Sheldrick, 2015).

Nonalithium tetraaluminium pentastannide top
Crystal data top
Li9Al4Sn5Dx = 3.855 Mg m3
Dm = 3.86 (2) Mg m3
Dm measured by volumetric
Mr = 763.93Mo Kα radiation, λ = 0.71073 Å
Trigonal, P3m1Cell parameters from 352 reflections
a = 4.7170 (7) Åθ = 2.4–27.4°
c = 17.077 (3) ŵ = 9.57 mm1
V = 329.06 (12) Å3T = 293 K
Z = 1Plate, metallic grey
F(000) = 3290.07 × 0.06 × 0.01 mm
Data collection top
Oxford Diffraction Xcalibur3 CCD
diffractometer
324 reflections with I > 2σ(I)
Radiation source: fine-focus sealed tubeRint = 0.074
ω scansθmax = 27.4°, θmin = 2.4°
Absorption correction: analytical
(CrysAlis RED; Oxford Diffraction, 2008)
h = 66
Tmin = 0.520, Tmax = 0.901k = 66
3006 measured reflectionsl = 2222
352 independent reflections
Refinement top
Refinement on F224 parameters
Least-squares matrix: full0 restraints
R[F2 > 2σ(F2)] = 0.021 w = 1/[σ2(Fo2) + (0.001P)2 + 0.0017P]
where P = (Fo2 + 2Fc2)/3
wR(F2) = 0.066(Δ/σ)max = 0.002
S = 1.10Δρmax = 1.27 e Å3
352 reflectionsΔρmin = 1.24 e Å3
Special details top

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.

Fractional atomic coordinates and isotropic or equivalent isotropic displacement parameters (Å2) top
xyzUiso*/Ueq
Sn10.66670.33330.38861 (4)0.0166 (2)
Sn20.66670.33330.22148 (4)0.0167 (2)
Sn30.00000.00000.00000.0109 (3)
Al10.66670.33330.55327 (17)0.0129 (6)
Al20.00000.00000.16567 (18)0.0238 (8)
Li10.66670.33330.0701 (11)0.023 (4)*
Li20.66670.33330.7209 (9)0.012 (3)*
Li30.66670.33330.8807 (16)0.056 (8)*
Li40.00000.00000.50000.020 (6)*
Li50.00000.00000.3309 (9)0.012 (3)*
Atomic displacement parameters (Å2) top
U11U22U33U12U13U23
Sn10.0158 (3)0.0158 (3)0.0184 (3)0.00788 (15)0.0000.000
Sn20.0167 (3)0.0167 (3)0.0166 (3)0.00837 (14)0.0000.000
Sn30.0112 (4)0.0112 (4)0.0102 (4)0.00560 (18)0.0000.000
Al10.0098 (9)0.0098 (9)0.0192 (14)0.0049 (5)0.0000.000
Al20.0301 (12)0.0301 (12)0.0110 (13)0.0151 (6)0.0000.000
Geometric parameters (Å, º) top
Sn1—Al12.812 (3)Al2—Li1ix3.175 (10)
Sn1—Sn22.8541 (12)Al2—Li13.175 (10)
Sn1—Li5i2.896 (5)Li1—Li3iii2.850 (9)
Sn1—Li5ii2.896 (5)Li1—Li3iv2.850 (9)
Sn1—Li52.896 (5)Li1—Li3v2.850 (9)
Sn1—Al1iii2.8985 (11)Li1—Sn3i2.975 (8)
Sn1—Al1iv2.8986 (11)Li1—Sn3ii2.975 (8)
Sn1—Al1v2.8986 (11)Li1—Al2i3.175 (10)
Sn1—Li2iii3.303 (9)Li1—Al2ii3.175 (10)
Sn1—Li2v3.304 (9)Li1—Li3xiii3.24 (4)
Sn1—Li2iv3.304 (9)Li2—Li32.73 (3)
Sn1—Li4i3.3219 (5)Li2—Li5v2.863 (7)
Sn2—Li12.585 (19)Li2—Li5xii2.863 (7)
Sn2—Al22.8853 (11)Li2—Li5iii2.863 (7)
Sn2—Al2i2.8853 (11)Li2—Sn2iii2.896 (5)
Sn2—Al2ii2.8853 (11)Li2—Sn2iv2.896 (5)
Sn2—Li2iii2.896 (5)Li2—Sn2v2.896 (5)
Sn2—Li2iv2.896 (5)Li2—Sn1iii3.304 (9)
Sn2—Li2v2.896 (5)Li2—Sn1v3.304 (9)
Sn2—Li3iii3.234 (15)Li2—Sn1iv3.304 (9)
Sn2—Li3v3.234 (15)Li3—Al2v2.836 (8)
Sn2—Li3iv3.234 (15)Li3—Al2xii2.836 (8)
Sn2—Li53.303 (9)Li3—Al2iii2.836 (8)
Sn3—Al2vi2.829 (3)Li3—Li1iii2.850 (9)
Sn3—Al22.829 (3)Li3—Li1iv2.850 (9)
Sn3—Li12.975 (8)Li3—Li1v2.850 (9)
Sn3—Li1vi2.975 (8)Li3—Sn2iii3.234 (15)
Sn3—Li1vii2.975 (8)Li3—Sn2v3.234 (15)
Sn3—Li1viii2.975 (8)Li3—Sn2iv3.234 (15)
Sn3—Li1ix2.975 (8)Li3—Li1xiv3.24 (4)
Sn3—Li1x2.975 (8)Li3—Sn3xv3.402 (16)
Sn3—Li3iii3.401 (16)Li4—Al1xii2.8713 (10)
Sn3—Li3xi3.401 (16)Li4—Al1iii2.8713 (10)
Sn3—Li3xii3.401 (16)Li4—Al1viii2.8713 (10)
Sn3—Li3xiii3.401 (16)Li4—Al1v2.8713 (10)
Al1—Li22.862 (16)Li4—Al1ix2.8713 (10)
Al1—Li4i2.8713 (10)Li4—Li5xii2.888 (16)
Al1—Li42.8713 (10)Li4—Li52.888 (16)
Al1—Li4ii2.8713 (10)Li4—Sn1iii3.3219 (5)
Al1—Sn1iii2.8986 (11)Li4—Sn1viii3.3219 (5)
Al1—Sn1iv2.8986 (11)Li4—Sn1xii3.3219 (5)
Al1—Sn1v2.8986 (11)Li5—Li2xii2.863 (7)
Al2—Li52.822 (16)Li5—Li2iii2.863 (7)
Al2—Li3xii2.836 (8)Li5—Li2v2.863 (7)
Al2—Li3iii2.836 (8)Li5—Sn1viii2.896 (5)
Al2—Li3v2.836 (8)Li5—Sn1ix2.896 (5)
Al2—Sn2viii2.8853 (11)Li5—Sn2viii3.303 (9)
Al2—Sn2ix2.8853 (11)Li5—Sn2ix3.303 (9)
Al2—Li1viii3.175 (10)
Al1—Sn1—Sn2180.0Li3iv—Li1—Sn3i71.4 (3)
Al1—Sn1—Li5i109.9 (3)Li3v—Li1—Sn3i71.4 (3)
Sn2—Sn1—Li5i70.1 (3)Sn2—Li1—Sn3113.7 (3)
Al1—Sn1—Li5ii109.9 (3)Li3iii—Li1—Sn371.4 (3)
Sn2—Sn1—Li5ii70.1 (3)Li3iv—Li1—Sn3173.4 (8)
Li5i—Sn1—Li5ii109.0 (3)Li3v—Li1—Sn371.4 (3)
Al1—Sn1—Li5109.9 (3)Sn3i—Li1—Sn3104.9 (4)
Sn2—Sn1—Li570.1 (3)Sn2—Li1—Sn3ii113.7 (3)
Li5i—Sn1—Li5109.0 (3)Li3iii—Li1—Sn3ii71.4 (3)
Li5ii—Sn1—Li5109.0 (3)Li3iv—Li1—Sn3ii71.4 (3)
Al1—Sn1—Al1iii69.98 (5)Li3v—Li1—Sn3ii173.4 (8)
Sn2—Sn1—Al1iii110.02 (5)Sn3i—Li1—Sn3ii104.9 (4)
Li5i—Sn1—Al1iii179.9 (3)Sn3—Li1—Sn3ii104.9 (4)
Li5ii—Sn1—Al1iii71.02 (16)Sn2—Li1—Al2i59.1 (3)
Li5—Sn1—Al1iii71.02 (16)Li3iii—Li1—Al2i131.9 (8)
Al1—Sn1—Al1iv69.98 (5)Li3iv—Li1—Al2i55.8 (3)
Sn2—Sn1—Al1iv110.02 (5)Li3v—Li1—Al2i55.8 (3)
Li5i—Sn1—Al1iv71.02 (16)Sn3i—Li1—Al2i54.66 (6)
Li5ii—Sn1—Al1iv71.02 (16)Sn3—Li1—Al2i126.83 (8)
Li5—Sn1—Al1iv179.9 (3)Sn3ii—Li1—Al2i126.83 (8)
Al1iii—Sn1—Al1iv108.91 (6)Sn2—Li1—Al2ii59.1 (3)
Al1—Sn1—Al1v69.98 (5)Li3iii—Li1—Al2ii55.8 (3)
Sn2—Sn1—Al1v110.02 (5)Li3iv—Li1—Al2ii55.8 (3)
Li5i—Sn1—Al1v71.02 (16)Li3v—Li1—Al2ii131.9 (8)
Li5ii—Sn1—Al1v179.9 (3)Sn3i—Li1—Al2ii126.83 (8)
Li5—Sn1—Al1v71.02 (16)Sn3—Li1—Al2ii126.83 (8)
Al1iii—Sn1—Al1v108.91 (6)Sn3ii—Li1—Al2ii54.66 (6)
Al1iv—Sn1—Al1v108.91 (6)Al2i—Li1—Al2ii96.0 (4)
Al1—Sn1—Li2iii124.5 (2)Sn2—Li1—Al259.1 (3)
Sn2—Sn1—Li2iii55.5 (2)Li3iii—Li1—Al255.8 (3)
Li5i—Sn1—Li2iii125.6 (4)Li3iv—Li1—Al2131.9 (8)
Li5ii—Sn1—Li2iii54.53 (14)Li3v—Li1—Al255.8 (3)
Li5—Sn1—Li2iii54.53 (14)Sn3i—Li1—Al2126.83 (8)
Al1iii—Sn1—Li2iii54.5 (2)Sn3—Li1—Al254.66 (6)
Al1iv—Sn1—Li2iii125.53 (3)Sn3ii—Li1—Al2126.83 (8)
Al1v—Sn1—Li2iii125.53 (3)Al2i—Li1—Al296.0 (4)
Al1—Sn1—Li2v124.5 (2)Al2ii—Li1—Al296.0 (4)
Sn2—Sn1—Li2v55.5 (2)Sn2—Li1—Li3xiii180.0
Li5i—Sn1—Li2v54.53 (14)Li3iii—Li1—Li3xiii107.1 (6)
Li5ii—Sn1—Li2v125.6 (4)Li3iv—Li1—Li3xiii107.1 (6)
Li5—Sn1—Li2v54.53 (14)Li3v—Li1—Li3xiii107.1 (6)
Al1iii—Sn1—Li2v125.53 (3)Sn3i—Li1—Li3xiii66.3 (3)
Al1iv—Sn1—Li2v125.53 (3)Sn3—Li1—Li3xiii66.3 (3)
Al1v—Sn1—Li2v54.5 (2)Sn3ii—Li1—Li3xiii66.3 (3)
Li2iii—Sn1—Li2v91.1 (3)Al2i—Li1—Li3xiii120.9 (3)
Al1—Sn1—Li2iv124.5 (2)Al2ii—Li1—Li3xiii120.9 (3)
Sn2—Sn1—Li2iv55.5 (2)Al2—Li1—Li3xiii120.9 (3)
Li5i—Sn1—Li2iv54.53 (14)Li3—Li2—Li5v108.0 (4)
Li5ii—Sn1—Li2iv54.53 (14)Li3—Li2—Li5xii108.0 (4)
Li5—Sn1—Li2iv125.6 (4)Li5v—Li2—Li5xii110.9 (4)
Al1iii—Sn1—Li2iv125.53 (3)Li3—Li2—Li5iii108.0 (4)
Al1iv—Sn1—Li2iv54.5 (2)Li5v—Li2—Li5iii110.9 (4)
Al1v—Sn1—Li2iv125.53 (3)Li5xii—Li2—Li5iii110.9 (4)
Li2iii—Sn1—Li2iv91.1 (3)Li3—Li2—Al1180.0
Li2v—Sn1—Li2iv91.1 (3)Li5v—Li2—Al172.0 (4)
Al1—Sn1—Li4i55.067 (12)Li5xii—Li2—Al172.0 (4)
Sn2—Sn1—Li4i124.933 (12)Li5iii—Li2—Al172.0 (4)
Li5i—Sn1—Li4i54.8 (3)Li3—Li2—Sn2iii70.1 (3)
Li5ii—Sn1—Li4i125.47 (15)Li5v—Li2—Sn2iii178.1 (7)
Li5—Sn1—Li4i125.47 (15)Li5xii—Li2—Sn2iii69.98 (15)
Al1iii—Sn1—Li4i125.04 (6)Li5iii—Li2—Sn2iii69.98 (15)
Al1iv—Sn1—Li4i54.47 (3)Al1—Li2—Sn2iii109.9 (3)
Al1v—Sn1—Li4i54.47 (3)Li3—Li2—Sn2iv70.1 (3)
Li2iii—Sn1—Li4i179.5 (2)Li5v—Li2—Sn2iv69.98 (15)
Li2v—Sn1—Li4i89.21 (16)Li5xii—Li2—Sn2iv178.1 (7)
Li2iv—Sn1—Li4i89.21 (16)Li5iii—Li2—Sn2iv69.98 (15)
Li1—Sn2—Sn1180.0Al1—Li2—Sn2iv109.9 (3)
Li1—Sn2—Al270.71 (6)Sn2iii—Li2—Sn2iv109.1 (3)
Sn1—Sn2—Al2109.29 (6)Li3—Li2—Sn2v70.1 (3)
Li1—Sn2—Al2i70.71 (6)Li5v—Li2—Sn2v69.98 (15)
Sn1—Sn2—Al2i109.29 (6)Li5xii—Li2—Sn2v69.98 (15)
Al2—Sn2—Al2i109.65 (6)Li5iii—Li2—Sn2v178.1 (7)
Li1—Sn2—Al2ii70.71 (6)Al1—Li2—Sn2v109.9 (3)
Sn1—Sn2—Al2ii109.29 (6)Sn2iii—Li2—Sn2v109.1 (3)
Al2—Sn2—Al2ii109.65 (6)Sn2iv—Li2—Sn2v109.1 (3)
Al2i—Sn2—Al2ii109.65 (6)Li3—Li2—Sn1iii124.5 (2)
Li1—Sn2—Li2iii109.9 (3)Li5v—Li2—Sn1iii127.5 (6)
Sn1—Sn2—Li2iii70.1 (3)Li5xii—Li2—Sn1iii55.5 (2)
Al2—Sn2—Li2iii70.64 (15)Li5iii—Li2—Sn1iii55.5 (2)
Al2i—Sn2—Li2iii179.4 (3)Al1—Li2—Sn1iii55.5 (2)
Al2ii—Sn2—Li2iii70.64 (15)Sn2iii—Li2—Sn1iii54.34 (7)
Li1—Sn2—Li2iv109.9 (3)Sn2iv—Li2—Sn1iii125.45 (14)
Sn1—Sn2—Li2iv70.1 (3)Sn2v—Li2—Sn1iii125.45 (14)
Al2—Sn2—Li2iv179.4 (3)Li3—Li2—Sn1v124.5 (2)
Al2i—Sn2—Li2iv70.64 (15)Li5v—Li2—Sn1v55.5 (2)
Al2ii—Sn2—Li2iv70.64 (15)Li5xii—Li2—Sn1v55.5 (2)
Li2iii—Sn2—Li2iv109.1 (3)Li5iii—Li2—Sn1v127.5 (6)
Li1—Sn2—Li2v109.9 (3)Al1—Li2—Sn1v55.5 (2)
Sn1—Sn2—Li2v70.1 (3)Sn2iii—Li2—Sn1v125.45 (14)
Al2—Sn2—Li2v70.64 (15)Sn2iv—Li2—Sn1v125.45 (14)
Al2i—Sn2—Li2v70.64 (15)Sn2v—Li2—Sn1v54.34 (7)
Al2ii—Sn2—Li2v179.4 (3)Sn1iii—Li2—Sn1v91.1 (3)
Li2iii—Sn2—Li2v109.1 (3)Li3—Li2—Sn1iv124.5 (2)
Li2iv—Sn2—Li2v109.1 (3)Li5v—Li2—Sn1iv55.5 (2)
Li1—Sn2—Li3iii57.4 (4)Li5xii—Li2—Sn1iv127.5 (6)
Sn1—Sn2—Li3iii122.6 (4)Li5iii—Li2—Sn1iv55.5 (2)
Al2—Sn2—Li3iii54.86 (3)Al1—Li2—Sn1iv55.5 (2)
Al2i—Sn2—Li3iii128.1 (4)Sn2iii—Li2—Sn1iv125.45 (14)
Al2ii—Sn2—Li3iii54.86 (3)Sn2iv—Li2—Sn1iv54.34 (7)
Li2iii—Sn2—Li3iii52.5 (5)Sn2v—Li2—Sn1iv125.45 (14)
Li2iv—Sn2—Li3iii125.40 (13)Sn1iii—Li2—Sn1iv91.1 (3)
Li2v—Sn2—Li3iii125.40 (13)Sn1v—Li2—Sn1iv91.1 (3)
Li1—Sn2—Li3v57.4 (4)Li2—Li3—Al2v73.8 (5)
Sn1—Sn2—Li3v122.6 (4)Li2—Li3—Al2xii73.8 (5)
Al2—Sn2—Li3v54.86 (3)Al2v—Li3—Al2xii112.5 (5)
Al2i—Sn2—Li3v54.86 (3)Li2—Li3—Al2iii73.8 (5)
Al2ii—Sn2—Li3v128.1 (4)Al2v—Li3—Al2iii112.5 (5)
Li2iii—Sn2—Li3v125.40 (13)Al2xii—Li3—Al2iii112.5 (5)
Li2iv—Sn2—Li3v125.40 (13)Li2—Li3—Li1iii107.1 (6)
Li2v—Sn2—Li3v52.5 (5)Al2v—Li3—Li1iii179.0 (11)
Li3iii—Sn2—Li3v93.7 (6)Al2xii—Li3—Li1iii67.88 (16)
Li1—Sn2—Li3iv57.4 (4)Al2iii—Li3—Li1iii67.88 (16)
Sn1—Sn2—Li3iv122.6 (4)Li2—Li3—Li1iv107.1 (6)
Al2—Sn2—Li3iv128.1 (4)Al2v—Li3—Li1iv67.88 (16)
Al2i—Sn2—Li3iv54.86 (3)Al2xii—Li3—Li1iv179.0 (11)
Al2ii—Sn2—Li3iv54.86 (3)Al2iii—Li3—Li1iv67.88 (16)
Li2iii—Sn2—Li3iv125.40 (13)Li1iii—Li3—Li1iv111.7 (5)
Li2iv—Sn2—Li3iv52.5 (5)Li2—Li3—Li1v107.1 (6)
Li2v—Sn2—Li3iv125.40 (13)Al2v—Li3—Li1v67.88 (16)
Li3iii—Sn2—Li3iv93.7 (6)Al2xii—Li3—Li1v67.88 (16)
Li3v—Sn2—Li3iv93.7 (6)Al2iii—Li3—Li1v179.0 (11)
Li1—Sn2—Li5124.5 (2)Li1iii—Li3—Li1v111.7 (5)
Sn1—Sn2—Li555.5 (2)Li1iv—Li3—Li1v111.7 (5)
Al2—Sn2—Li553.7 (2)Li2—Li3—Sn2iii57.4 (4)
Al2i—Sn2—Li5125.17 (3)Al2v—Li3—Sn2iii131.2 (9)
Al2ii—Sn2—Li5125.17 (3)Al2xii—Li3—Sn2iii56.3 (2)
Li2iii—Sn2—Li554.55 (14)Al2iii—Li3—Sn2iii56.3 (2)
Li2iv—Sn2—Li5125.7 (4)Li1iii—Li3—Sn2iii49.8 (4)
Li2v—Sn2—Li554.55 (14)Li1iv—Li3—Sn2iii124.1 (3)
Li3iii—Sn2—Li587.6 (3)Li1v—Li3—Sn2iii124.1 (3)
Li3v—Sn2—Li587.6 (3)Li2—Li3—Sn2v57.4 (4)
Li3iv—Sn2—Li5178.2 (5)Al2v—Li3—Sn2v56.3 (2)
Al2vi—Sn3—Al2180.0Al2xii—Li3—Sn2v56.3 (2)
Al2vi—Sn3—Li1113.7 (3)Al2iii—Li3—Sn2v131.2 (9)
Al2—Sn3—Li166.3 (3)Li1iii—Li3—Sn2v124.1 (3)
Al2vi—Sn3—Li1vi66.3 (3)Li1iv—Li3—Sn2v124.1 (3)
Al2—Sn3—Li1vi113.7 (3)Li1v—Li3—Sn2v49.8 (4)
Li1—Sn3—Li1vi180.0Sn2iii—Li3—Sn2v93.7 (6)
Al2vi—Sn3—Li1vii66.3 (3)Li2—Li3—Sn2iv57.4 (4)
Al2—Sn3—Li1vii113.7 (3)Al2v—Li3—Sn2iv56.3 (2)
Li1—Sn3—Li1vii75.1 (4)Al2xii—Li3—Sn2iv131.2 (9)
Li1vi—Sn3—Li1vii104.9 (4)Al2iii—Li3—Sn2iv56.3 (2)
Al2vi—Sn3—Li1viii113.7 (3)Li1iii—Li3—Sn2iv124.1 (3)
Al2—Sn3—Li1viii66.3 (3)Li1iv—Li3—Sn2iv49.8 (4)
Li1—Sn3—Li1viii104.9 (4)Li1v—Li3—Sn2iv124.1 (3)
Li1vi—Sn3—Li1viii75.1 (4)Sn2iii—Li3—Sn2iv93.7 (6)
Li1vii—Sn3—Li1viii180.0 (7)Sn2v—Li3—Sn2iv93.7 (6)
Al2vi—Sn3—Li1ix113.7 (3)Li2—Li3—Li1xiv180.0
Al2—Sn3—Li1ix66.3 (3)Al2v—Li3—Li1xiv106.2 (5)
Li1—Sn3—Li1ix104.9 (4)Al2xii—Li3—Li1xiv106.2 (5)
Li1vi—Sn3—Li1ix75.1 (4)Al2iii—Li3—Li1xiv106.2 (5)
Li1vii—Sn3—Li1ix75.1 (4)Li1iii—Li3—Li1xiv72.9 (6)
Li1viii—Sn3—Li1ix104.9 (4)Li1iv—Li3—Li1xiv72.9 (6)
Al2vi—Sn3—Li1x66.3 (3)Li1v—Li3—Li1xiv72.9 (6)
Al2—Sn3—Li1x113.7 (3)Sn2iii—Li3—Li1xiv122.6 (4)
Li1—Sn3—Li1x75.1 (4)Sn2v—Li3—Li1xiv122.6 (4)
Li1vi—Sn3—Li1x104.9 (4)Sn2iv—Li3—Li1xiv122.6 (4)
Li1vii—Sn3—Li1x104.9 (4)Li2—Li3—Sn3xv126.8 (4)
Li1viii—Sn3—Li1x75.1 (4)Al2v—Li3—Sn3xv53.01 (17)
Li1ix—Sn3—Li1x180.0 (7)Al2xii—Li3—Sn3xv123.5 (3)
Al2vi—Sn3—Li3iii126.8 (4)Al2iii—Li3—Sn3xv123.5 (3)
Al2—Sn3—Li3iii53.2 (4)Li1iii—Li3—Sn3xv126.0 (9)
Li1—Sn3—Li3iii52.58 (17)Li1iv—Li3—Sn3xv56.0 (3)
Li1vi—Sn3—Li3iii127.42 (17)Li1v—Li3—Sn3xv56.0 (3)
Li1vii—Sn3—Li3iii60.5 (5)Sn2iii—Li3—Sn3xv175.8 (8)
Li1viii—Sn3—Li3iii119.5 (5)Sn2v—Li3—Sn3xv89.20 (4)
Li1ix—Sn3—Li3iii52.58 (17)Sn2iv—Li3—Sn3xv89.20 (4)
Li1x—Sn3—Li3iii127.42 (17)Li1xiv—Li3—Sn3xv53.2 (4)
Al2vi—Sn3—Li3xi53.2 (4)Al1—Li4—Al1xii180.0
Al2—Sn3—Li3xi126.8 (4)Al1—Li4—Al1iii69.55 (5)
Li1—Sn3—Li3xi127.42 (17)Al1xii—Li4—Al1iii110.45 (5)
Li1vi—Sn3—Li3xi52.58 (17)Al1—Li4—Al1viii110.45 (5)
Li1vii—Sn3—Li3xi119.5 (5)Al1xii—Li4—Al1viii69.55 (5)
Li1viii—Sn3—Li3xi60.5 (5)Al1iii—Li4—Al1viii180.0
Li1ix—Sn3—Li3xi127.42 (17)Al1—Li4—Al1v69.55 (5)
Li1x—Sn3—Li3xi52.58 (17)Al1xii—Li4—Al1v110.45 (5)
Li3iii—Sn3—Li3xi180.0 (7)Al1iii—Li4—Al1v110.45 (5)
Al2vi—Sn3—Li3xii126.8 (4)Al1viii—Li4—Al1v69.55 (5)
Al2—Sn3—Li3xii53.2 (4)Al1—Li4—Al1ix110.45 (5)
Li1—Sn3—Li3xii119.5 (5)Al1xii—Li4—Al1ix69.55 (5)
Li1vi—Sn3—Li3xii60.5 (5)Al1iii—Li4—Al1ix69.55 (5)
Li1vii—Sn3—Li3xii127.42 (17)Al1viii—Li4—Al1ix110.45 (5)
Li1viii—Sn3—Li3xii52.58 (17)Al1v—Li4—Al1ix180.00 (11)
Li1ix—Sn3—Li3xii52.58 (17)Al1—Li4—Li5xii71.53 (5)
Li1x—Sn3—Li3xii127.42 (17)Al1xii—Li4—Li5xii108.47 (5)
Li3iii—Sn3—Li3xii87.8 (5)Al1iii—Li4—Li5xii108.47 (5)
Li3xi—Sn3—Li3xii92.2 (5)Al1viii—Li4—Li5xii71.53 (5)
Al2vi—Sn3—Li3xiii53.2 (4)Al1v—Li4—Li5xii108.47 (5)
Al2—Sn3—Li3xiii126.8 (4)Al1ix—Li4—Li5xii71.53 (5)
Li1—Sn3—Li3xiii60.5 (5)Al1—Li4—Li5108.47 (5)
Li1vi—Sn3—Li3xiii119.5 (5)Al1xii—Li4—Li571.53 (5)
Li1vii—Sn3—Li3xiii52.58 (17)Al1iii—Li4—Li571.53 (5)
Li1viii—Sn3—Li3xiii127.42 (17)Al1viii—Li4—Li5108.47 (5)
Li1ix—Sn3—Li3xiii127.42 (17)Al1v—Li4—Li571.53 (5)
Li1x—Sn3—Li3xiii52.58 (17)Al1ix—Li4—Li5108.47 (5)
Li3iii—Sn3—Li3xiii92.2 (5)Li5xii—Li4—Li5180.0
Li3xi—Sn3—Li3xiii87.8 (5)Al1—Li4—Sn1iii55.23 (3)
Li3xii—Sn3—Li3xiii180.0 (7)Al1xii—Li4—Sn1iii124.77 (3)
Sn1—Al1—Li2180.0Al1iii—Li4—Sn1iii53.41 (6)
Sn1—Al1—Li4i71.53 (5)Al1viii—Li4—Sn1iii126.59 (6)
Li2—Al1—Li4i108.47 (5)Al1v—Li4—Sn1iii124.77 (3)
Sn1—Al1—Li471.53 (5)Al1ix—Li4—Sn1iii55.23 (3)
Li2—Al1—Li4108.47 (5)Li5xii—Li4—Sn1iii55.066 (12)
Li4i—Al1—Li4110.45 (5)Li5—Li4—Sn1iii124.934 (12)
Sn1—Al1—Li4ii71.53 (5)Al1—Li4—Sn1viii124.77 (3)
Li2—Al1—Li4ii108.47 (5)Al1xii—Li4—Sn1viii55.23 (3)
Li4i—Al1—Li4ii110.45 (5)Al1iii—Li4—Sn1viii126.59 (6)
Li4—Al1—Li4ii110.45 (5)Al1viii—Li4—Sn1viii53.41 (6)
Sn1—Al1—Sn1iii110.02 (5)Al1v—Li4—Sn1viii55.23 (3)
Li2—Al1—Sn1iii69.98 (5)Al1ix—Li4—Sn1viii124.77 (3)
Li4i—Al1—Sn1iii178.45 (11)Li5xii—Li4—Sn1viii124.934 (12)
Li4—Al1—Sn1iii70.300 (8)Li5—Li4—Sn1viii55.066 (12)
Li4ii—Al1—Sn1iii70.300 (8)Sn1iii—Li4—Sn1viii180.0
Sn1—Al1—Sn1iv110.02 (5)Al1—Li4—Sn1xii126.60 (6)
Li2—Al1—Sn1iv69.98 (5)Al1xii—Li4—Sn1xii53.41 (6)
Li4i—Al1—Sn1iv70.300 (7)Al1iii—Li4—Sn1xii124.77 (3)
Li4—Al1—Sn1iv178.45 (11)Al1viii—Li4—Sn1xii55.23 (3)
Li4ii—Al1—Sn1iv70.301 (7)Al1v—Li4—Sn1xii124.77 (3)
Sn1iii—Al1—Sn1iv108.91 (6)Al1ix—Li4—Sn1xii55.23 (3)
Sn1—Al1—Sn1v110.02 (5)Li5xii—Li4—Sn1xii55.066 (11)
Li2—Al1—Sn1v69.98 (5)Li5—Li4—Sn1xii124.934 (12)
Li4i—Al1—Sn1v70.300 (7)Sn1iii—Li4—Sn1xii90.467 (16)
Li4—Al1—Sn1v70.301 (7)Sn1viii—Li4—Sn1xii89.533 (16)
Li4ii—Al1—Sn1v178.45 (11)Al1—Li4—Sn153.40 (6)
Sn1iii—Al1—Sn1v108.91 (6)Al1xii—Li4—Sn1126.59 (6)
Sn1iv—Al1—Sn1v108.91 (6)Al1iii—Li4—Sn155.23 (3)
Li5—Al2—Sn3180.0Al1viii—Li4—Sn1124.77 (3)
Li5—Al2—Li3xii106.2 (5)Al1v—Li4—Sn155.23 (3)
Sn3—Al2—Li3xii73.8 (5)Al1ix—Li4—Sn1124.77 (3)
Li5—Al2—Li3iii106.2 (5)Li5xii—Li4—Sn1124.933 (12)
Sn3—Al2—Li3iii73.8 (5)Li5—Li4—Sn155.067 (12)
Li3xii—Al2—Li3iii112.5 (5)Sn1iii—Li4—Sn189.533 (16)
Li5—Al2—Li3v106.2 (5)Sn1viii—Li4—Sn190.467 (16)
Sn3—Al2—Li3v73.8 (5)Sn1xii—Li4—Sn1180.0
Li3xii—Al2—Li3v112.5 (5)Al2—Li5—Li2xii72.0 (4)
Li3iii—Al2—Li3v112.5 (5)Al2—Li5—Li2iii72.0 (4)
Li5—Al2—Sn2viii70.71 (6)Li2xii—Li5—Li2iii110.9 (4)
Sn3—Al2—Sn2viii109.29 (6)Al2—Li5—Li2v72.0 (4)
Li3xii—Al2—Sn2viii68.8 (3)Li2xii—Li5—Li2v110.9 (4)
Li3iii—Al2—Sn2viii176.9 (5)Li2iii—Li5—Li2v110.9 (4)
Li3v—Al2—Sn2viii68.8 (3)Al2—Li5—Li4180.0
Li5—Al2—Sn270.71 (6)Li2xii—Li5—Li4108.0 (4)
Sn3—Al2—Sn2109.29 (6)Li2iii—Li5—Li4108.0 (4)
Li3xii—Al2—Sn2176.9 (5)Li2v—Li5—Li4108.0 (4)
Li3iii—Al2—Sn268.8 (3)Al2—Li5—Sn1viii109.9 (3)
Li3v—Al2—Sn268.8 (3)Li2xii—Li5—Sn1viii70.00 (15)
Sn2viii—Al2—Sn2109.65 (6)Li2iii—Li5—Sn1viii178.1 (7)
Li5—Al2—Sn2ix70.71 (6)Li2v—Li5—Sn1viii70.00 (15)
Sn3—Al2—Sn2ix109.29 (6)Li4—Li5—Sn1viii70.1 (3)
Li3xii—Al2—Sn2ix68.8 (3)Al2—Li5—Sn1109.9 (3)
Li3iii—Al2—Sn2ix68.8 (3)Li2xii—Li5—Sn1178.1 (7)
Li3v—Al2—Sn2ix176.9 (5)Li2iii—Li5—Sn170.00 (15)
Sn2viii—Al2—Sn2ix109.65 (6)Li2v—Li5—Sn170.00 (15)
Sn2—Al2—Sn2ix109.65 (6)Li4—Li5—Sn170.1 (3)
Li5—Al2—Li1viii120.9 (3)Sn1viii—Li5—Sn1109.0 (3)
Sn3—Al2—Li1viii59.1 (3)Al2—Li5—Sn1ix109.9 (3)
Li3xii—Al2—Li1viii56.3 (2)Li2xii—Li5—Sn1ix70.00 (15)
Li3iii—Al2—Li1viii132.9 (6)Li2iii—Li5—Sn1ix70.00 (15)
Li3v—Al2—Li1viii56.3 (2)Li2v—Li5—Sn1ix178.1 (7)
Sn2viii—Al2—Li1viii50.2 (3)Li4—Li5—Sn1ix70.1 (3)
Sn2—Al2—Li1viii125.07 (3)Sn1viii—Li5—Sn1ix109.0 (3)
Sn2ix—Al2—Li1viii125.07 (3)Sn1—Li5—Sn1ix109.0 (3)
Li5—Al2—Li1ix120.9 (3)Al2—Li5—Sn255.5 (2)
Sn3—Al2—Li1ix59.1 (3)Li2xii—Li5—Sn2127.6 (6)
Li3xii—Al2—Li1ix56.3 (2)Li2iii—Li5—Sn255.5 (2)
Li3iii—Al2—Li1ix56.3 (2)Li2v—Li5—Sn255.5 (2)
Li3v—Al2—Li1ix132.9 (6)Li4—Li5—Sn2124.5 (2)
Sn2viii—Al2—Li1ix125.07 (3)Sn1viii—Li5—Sn2125.47 (14)
Sn2—Al2—Li1ix125.07 (3)Sn1—Li5—Sn254.35 (7)
Sn2ix—Al2—Li1ix50.2 (3)Sn1ix—Li5—Sn2125.47 (14)
Li1viii—Al2—Li1ix96.0 (4)Al2—Li5—Sn2viii55.5 (2)
Li5—Al2—Li1120.9 (3)Li2xii—Li5—Sn2viii55.5 (2)
Sn3—Al2—Li159.1 (3)Li2iii—Li5—Sn2viii127.6 (6)
Li3xii—Al2—Li1132.9 (6)Li2v—Li5—Sn2viii55.5 (2)
Li3iii—Al2—Li156.3 (2)Li4—Li5—Sn2viii124.5 (2)
Li3v—Al2—Li156.3 (2)Sn1viii—Li5—Sn2viii54.35 (7)
Sn2viii—Al2—Li1125.07 (3)Sn1—Li5—Sn2viii125.47 (14)
Sn2—Al2—Li150.2 (3)Sn1ix—Li5—Sn2viii125.46 (14)
Sn2ix—Al2—Li1125.07 (3)Sn2—Li5—Sn2viii91.1 (3)
Li1viii—Al2—Li196.0 (4)Al2—Li5—Sn2ix55.5 (2)
Li1ix—Al2—Li196.0 (4)Li2xii—Li5—Sn2ix55.5 (2)
Sn2—Li1—Li3iii72.9 (6)Li2iii—Li5—Sn2ix55.5 (2)
Sn2—Li1—Li3iv72.9 (6)Li2v—Li5—Sn2ix127.6 (6)
Li3iii—Li1—Li3iv111.7 (5)Li4—Li5—Sn2ix124.5 (2)
Sn2—Li1—Li3v72.9 (6)Sn1viii—Li5—Sn2ix125.47 (14)
Li3iii—Li1—Li3v111.7 (5)Sn1—Li5—Sn2ix125.47 (14)
Li3iv—Li1—Li3v111.7 (5)Sn1ix—Li5—Sn2ix54.35 (7)
Sn2—Li1—Sn3i113.7 (3)Sn2—Li5—Sn2ix91.1 (3)
Li3iii—Li1—Sn3i173.4 (8)Sn2viii—Li5—Sn2ix91.1 (3)
Symmetry codes: (i) x+1, y, z; (ii) x+1, y+1, z; (iii) x+1, y+1, z+1; (iv) x+2, y+1, z+1; (v) x+1, y, z+1; (vi) x, y, z; (vii) x+1, y+1, z; (viii) x1, y1, z; (ix) x1, y, z; (x) x+1, y, z; (xi) x1, y1, z1; (xii) x, y, z+1; (xiii) x, y, z1; (xiv) x, y, z+1; (xv) x+1, y, z+1.
 

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