Crystal structure of lutetium aluminate (LUAM), Lu₄Al₂O₉

Single-crystal X-ray structure analysis revealed that Lu₄Al₂O₉ is isostructural with Eu₄Al₂O₉ and contains Lu atoms in six- and sevenfold coordination, together with tetra­hedral Al atoms.

Key indicators

• Single-crystal X-ray study
• T = 301 K
• Mean [sigma](Al-O) = 0.007 Å
• R factor = 0.019
• wR factor = 0.043
• Data-to-parameter ratio = 20.3

checkCIF/PLATON results

No syntax errors found



Alert level C
PLAT790_ALERT_4_C Centre of Gravity not Within Unit Cell: Resd.  #          1 Note
              Al2 Lu4 O9
PLAT911_ALERT_3_C Missing FCF Refl Between Thmin & STh/L=    0.600          3 Report

Alert level G
PLAT004_ALERT_5_G Polymeric Structure Found with Maximum Dimension          2 Info
PLAT083_ALERT_2_G SHELXL Second Parameter in WGHT  Unusually Large      17.27 Why ?
PLAT794_ALERT_5_G Tentative Bond Valency for Lu1       (III)     .       2.79 Info
PLAT794_ALERT_5_G Tentative Bond Valency for Lu2       (III)     .       2.85 Info
PLAT794_ALERT_5_G Tentative Bond Valency for Lu3       (III)     .       2.65 Info
PLAT794_ALERT_5_G Tentative Bond Valency for Lu4       (III)     .       2.76 Info
PLAT794_ALERT_5_G Tentative Bond Valency for Al1       (III)     .       2.86 Info
PLAT794_ALERT_5_G Tentative Bond Valency for Al2       (III)     .       2.77 Info
PLAT870_ALERT_4_G ALERTS Related to Twinning Effects Suppressed ..          ! Info
PLAT912_ALERT_4_G Missing # of FCF Reflections Above STh/L=  0.600         21 Note

   0 ALERT level A = Most likely a serious problem - resolve or explain
   0 ALERT level B = A potentially serious problem, consider carefully
   2 ALERT level C = Check. Ensure it is not caused by an omission or oversight
  10 ALERT level G = General information/check it is not something unexpected

   0 ALERT type 1 CIF construction/syntax error, inconsistent or missing data
   1 ALERT type 2 Indicator that the structure model may be wrong or deficient
   1 ALERT type 3 Indicator that the structure quality may be low
   3 ALERT type 4 Improvement, methodology, query or suggestion
   7 ALERT type 5 Informative message, check

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Computing details

Data collection: APEX3 (Bruker, 2018); cell refinement: APEX3 (Bruker, 2018); data reduction: SAINT (Bruker, 2017); program(s) used to refine structure: SHELXL2014/7 (Sheldrick, 2015b); molecular graphics: VESTA (Momma & Izumi, 2011); software used to prepare material for publication: publCIF (Westrip, 2010).

Lutetium aluminate

Crystal data

Lu4Al2O9	F(000) = 1528
Mr = 897.84	Dx = 7.575 Mg m^−3
Monoclinic, P21/c	Mo Kα radiation, λ = 0.71073 Å
a = 7.2360 (11) Å	Cell parameters from 1294 reflections
b = 10.3330 (19) Å	θ = 2.8–38.5°
c = 11.096 (3) Å	µ = 49.97 mm^−1
β = 108.381 (11)°	T = 301 K
V = 787.3 (3) Å^3	Chip, colourless
Z = 4	0.12 × 0.05 × 0.04 mm

Data collection

Bruker D8 QUEST diffractometer	2719 reflections with I > 2σ(I)
Detector resolution: 7.3910 pixels mm^-1	Rint = 0.035
ω and σcans	θmax = 32.1°, θmin = 2.8°
Absorption correction: multi-scan (SADABS; Bruker, 2016)	h = −10→10
Tmin = 0.451, Tmax = 0.746	k = −15→15
32672 measured reflections	l = −16→16
2795 independent reflections

Refinement

Refinement on F^2	0 restraints
Least-squares matrix: full	w = 1/[σ^2(Fo^2) + 17.273P] where P = (Fo^2 + 2Fc^2)/3
R[F^2 > 2σ(F^2)] = 0.019	(Δ/σ)max = 0.001
wR(F^2) = 0.043	Δρmax = 1.49 e Å^−3
S = 1.17	Δρmin = −1.81 e Å^−3
2795 reflections	Extinction correction: SHELXL2014/7 (Sheldrick 2015b), Fc^*=kFc[1+0.001xFc^2λ^3/sin(2θ)]^-1/4
138 parameters	Extinction coefficient: 0.00026 (2)

Special details

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.

Refinement. Refined as a two-component inversion twin

Fractional atomic coordinates and isotropic or equivalent isotropic displacement parameters (Ų)

	x	y	z	Uiso*/Ueq
Al1	0.2142 (4)	0.1742 (2)	0.1270 (2)	0.0058 (4)
Al2	0.6551 (4)	0.1717 (2)	0.1108 (2)	0.0059 (4)
Lu1	0.52225 (7)	0.11375 (3)	0.78409 (2)	0.00572 (6)
Lu2	0.02236 (6)	0.10027 (3)	0.80405 (2)	0.00574 (6)
Lu3	0.34172 (7)	0.12783 (3)	0.44005 (2)	0.00605 (6)
Lu4	0.83940 (6)	0.12082 (3)	0.41774 (3)	0.00610 (6)
O1	0.7934 (8)	0.2450 (6)	0.7469 (5)	0.0102 (11)
O2	0.2314 (8)	0.2439 (5)	0.7699 (5)	0.0072 (11)
O3	0.2106 (13)	0.0095 (5)	0.1516 (5)	0.0102 (10)
O4	0.0720 (8)	0.2340 (6)	0.9813 (6)	0.0092 (11)
O5	0.4326 (10)	0.2381 (4)	0.1156 (5)	0.0085 (8)
O6	0.6371 (8)	0.2328 (5)	0.9599 (5)	0.0072 (11)
O7	0.6926 (13)	0.0084 (5)	0.1529 (5)	0.0111 (10)
O8	0.0764 (12)	−0.0082 (5)	0.3927 (5)	0.0072 (9)
O9	0.5643 (13)	0.0063 (5)	0.3906 (5)	0.0069 (9)

Atomic displacement parameters (Ų)

	U^11	U^22	U^33	U^12	U^13	U^23
Al1	0.0071 (12)	0.0044 (8)	0.0067 (9)	0.0012 (8)	0.0032 (8)	0.0005 (7)
Al2	0.0074 (12)	0.0050 (8)	0.0055 (8)	0.0010 (8)	0.0021 (8)	0.0012 (7)
Lu1	0.00622 (14)	0.00463 (12)	0.00594 (10)	0.00019 (12)	0.00140 (14)	−0.00101 (8)
Lu2	0.00566 (13)	0.00433 (12)	0.00733 (10)	−0.00031 (13)	0.00218 (14)	−0.00058 (8)
Lu3	0.00647 (13)	0.00518 (11)	0.00625 (10)	0.00024 (13)	0.00165 (13)	0.00101 (9)
Lu4	0.00538 (14)	0.00435 (10)	0.00863 (10)	0.00048 (13)	0.00231 (15)	0.00137 (9)
O1	0.008 (3)	0.013 (3)	0.008 (2)	0.0039 (19)	0.0002 (18)	0.002 (2)
O2	0.009 (3)	0.006 (2)	0.007 (2)	0.0012 (18)	0.0030 (19)	0.0010 (17)
O3	0.011 (3)	0.006 (2)	0.015 (2)	0.000 (3)	0.007 (3)	0.0006 (17)
O4	0.009 (3)	0.007 (2)	0.009 (2)	0.0039 (18)	−0.0009 (18)	−0.0003 (19)
O5	0.008 (2)	0.0064 (18)	0.012 (2)	−0.003 (2)	0.004 (2)	−0.0003 (15)
O6	0.008 (3)	0.007 (2)	0.007 (2)	0.0017 (18)	0.0018 (18)	0.0009 (17)
O7	0.013 (3)	0.008 (2)	0.016 (2)	0.003 (3)	0.009 (3)	0.0059 (18)
O8	0.005 (3)	0.006 (2)	0.009 (2)	−0.003 (2)	0.000 (3)	−0.0002 (16)
O9	0.010 (3)	0.0042 (19)	0.007 (2)	0.001 (3)	0.003 (3)	0.0001 (16)

Geometric parameters (Å, º)

Al1—O3	1.724 (6)	Lu3—O5^iv	2.310 (5)
Al1—O4^i	1.733 (6)	Lu3—O6^ii	2.529 (5)
Al1—O5	1.754 (7)	Lu3—O4^ii	2.573 (6)
Al1—O2^ii	1.767 (6)	Lu3—Al2^iv	3.211 (2)
Al1—Lu1^ii	3.219 (2)	Lu3—Al1^iv	3.247 (2)
Al1—Lu3^ii	3.247 (2)	Lu3—Lu3^iii	3.4748 (8)
Al1—Lu3	3.336 (2)	Lu3—Lu4^iii	3.4803 (7)
Al2—O7	1.749 (6)	Lu4—O4^ix	2.198 (6)
Al2—O1^ii	1.753 (6)	Lu4—O9	2.253 (8)
Al2—O6^i	1.755 (6)	Lu4—O6^ii	2.255 (6)
Al2—O5	1.767 (7)	Lu4—O8^v	2.257 (8)
Al2—Lu3^ii	3.211 (2)	Lu4—O1^ii	2.287 (6)
Al2—Lu1^ii	3.272 (2)	Lu4—O8^iii	2.311 (5)
Al2—Lu4	3.285 (2)	Lu4—Lu3^iii	3.4804 (7)
Lu1—O9^iii	2.219 (5)	Lu4—Lu4^x	3.5061 (8)
Lu1—O6	2.233 (5)	Lu4—Lu2^ix	3.5641 (7)
Lu1—O3^iii	2.236 (8)	Lu4—Lu3^v	3.5652 (7)
Lu1—O7^iii	2.277 (8)	Lu4—Lu1^ii	3.5836 (7)
Lu1—O5^iv	2.344 (5)	O1—Al2^iv	1.753 (6)
Lu1—O2	2.461 (6)	O1—Lu2^v	2.172 (6)
Lu1—O1	2.524 (6)	O1—Lu4^iv	2.287 (6)
Lu1—Al1^iv	3.219 (2)	O2—Al1^iv	1.767 (6)
Lu1—Al2^iv	3.272 (2)	O2—Lu3^iv	2.238 (5)
Lu1—Lu2^v	3.5579 (7)	O3—Lu2^vii	2.213 (8)
Lu1—Lu4^iv	3.5836 (7)	O3—Lu1^iii	2.236 (8)
Lu1—Lu3	3.6270 (9)	O4—Al1^xi	1.733 (6)
Lu2—O1^vi	2.172 (6)	O4—Lu4^viii	2.198 (6)
Lu2—O3^vii	2.213 (8)	O4—Lu3^iv	2.573 (6)
Lu2—O2	2.235 (6)	O5—Lu3^ii	2.310 (5)
Lu2—O7^iii	2.263 (8)	O5—Lu1^ii	2.344 (5)
Lu2—O8^vii	2.280 (5)	O6—Al2^xi	1.754 (6)
Lu2—O4	2.337 (6)	O6—Lu4^iv	2.255 (6)
Lu2—Lu1^vi	3.5579 (7)	O6—Lu3^iv	2.529 (5)
Lu2—Lu4^viii	3.5641 (7)	O7—Lu2^iii	2.263 (8)
Lu2—Lu3^iv	3.6485 (7)	O7—Lu1^iii	2.277 (8)
Lu2—Lu4^iii	3.7187 (7)	O8—Lu4^vi	2.257 (8)
Lu2—Lu3^vii	3.9156 (7)	O8—Lu2^vii	2.280 (5)
Lu3—O2^ii	2.238 (5)	O8—Lu4^iii	2.311 (5)
Lu3—O9	2.242 (8)	O9—Lu1^iii	2.219 (5)
Lu3—O9^iii	2.260 (5)	O9—Lu3^iii	2.260 (5)
Lu3—O8	2.302 (7)
O3—Al1—O4^i	117.7 (3)	O2^ii—Lu3—O8	96.84 (19)
O3—Al1—O5	116.2 (4)	O9—Lu3—O8	102.35 (18)
O4^i—Al1—O5	94.7 (3)	O9^iii—Lu3—O8	80.0 (2)
O3—Al1—O2^ii	109.3 (3)	O2^ii—Lu3—O5^iv	106.69 (18)
O4^i—Al1—O2^ii	121.3 (3)	O9—Lu3—O5^iv	120.4 (2)
O5—Al1—O2^ii	94.3 (3)	O9^iii—Lu3—O5^iv	74.68 (16)
O3—Al1—Lu1^ii	128.9 (3)	O8—Lu3—O5^iv	123.6 (2)
O4^i—Al1—Lu1^ii	111.6 (2)	O2^ii—Lu3—O6^ii	78.65 (19)
O5—Al1—Lu1^ii	45.30 (17)	O9—Lu3—O6^ii	71.8 (2)
O2^ii—Al1—Lu1^ii	49.24 (19)	O9^iii—Lu3—O6^ii	104.6 (2)
O3—Al1—Lu3^ii	138.1 (3)	O8—Lu3—O6^ii	171.4 (2)
O4^i—Al1—Lu3^ii	52.0 (2)	O5^iv—Lu3—O6^ii	65.0 (2)
O5—Al1—Lu3^ii	43.34 (18)	O2^ii—Lu3—O4^ii	74.48 (19)
O2^ii—Al1—Lu3^ii	108.5 (2)	O9—Lu3—O4^ii	176.2 (2)
Lu1^ii—Al1—Lu3^ii	68.24 (5)	O9^iii—Lu3—O4^ii	103.8 (2)
O3—Al1—Lu3	72.9 (2)	O8—Lu3—O4^ii	75.8 (2)
O4^i—Al1—Lu3	155.5 (2)	O5^iv—Lu3—O4^ii	63.1 (2)
O5—Al1—Lu3	99.75 (19)	O6^ii—Lu3—O4^ii	109.64 (15)
O2^ii—Al1—Lu3	38.37 (18)	O2^ii—Lu3—Al2^iv	96.50 (15)
Lu1^ii—Al1—Lu3	67.47 (5)	O9—Lu3—Al2^iv	94.44 (18)
Lu3^ii—Al1—Lu3	135.61 (8)	O9^iii—Lu3—Al2^iv	86.21 (17)
O7—Al2—O1^ii	104.2 (3)	O8—Lu3—Al2^iv	155.68 (16)
O7—Al2—O6^i	124.1 (3)	O5^iv—Lu3—Al2^iv	32.39 (17)
O1^ii—Al2—O6^i	119.7 (3)	O6^ii—Lu3—Al2^iv	32.95 (13)
O7—Al2—O5	115.6 (4)	O4^ii—Lu3—Al2^iv	88.36 (14)
O1^ii—Al2—O5	93.5 (3)	O2^ii—Lu3—Al1^iv	93.90 (15)
O6^i—Al2—O5	95.4 (3)	O9—Lu3—Al1^iv	151.60 (17)
O7—Al2—Lu3^ii	143.2 (3)	O9^iii—Lu3—Al1^iv	85.82 (16)
O1^ii—Al2—Lu3^ii	107.2 (2)	O8—Lu3—Al1^iv	98.38 (18)
O6^i—Al2—Lu3^ii	51.62 (19)	O5^iv—Lu3—Al1^iv	31.41 (17)
O5—Al2—Lu3^ii	44.47 (16)	O6^ii—Lu3—Al1^iv	89.32 (13)
O7—Al2—Lu1^ii	123.1 (2)	O4^ii—Lu3—Al1^iv	32.07 (14)
O1^ii—Al2—Lu1^ii	49.8 (2)	Al2^iv—Lu3—Al1^iv	60.46 (5)
O6^i—Al2—Lu1^ii	111.7 (2)	O2^ii—Lu3—Al1	29.36 (15)
O5—Al2—Lu1^ii	43.89 (17)	O9—Lu3—Al1	79.05 (14)
Lu3^ii—Al2—Lu1^ii	68.03 (5)	O9^iii—Lu3—Al1	149.97 (14)
O7—Al2—Lu4	65.8 (2)	O8—Lu3—Al1	85.02 (13)
O1^ii—Al2—Lu4	41.4 (2)	O5^iv—Lu3—Al1	134.72 (12)
O6^i—Al2—Lu4	158.5 (2)	O6^ii—Lu3—Al1	87.58 (13)
O5—Al2—Lu4	96.12 (18)	O4^ii—Lu3—Al1	97.42 (14)
Lu3^ii—Al2—Lu4	134.03 (8)	Al2^iv—Lu3—Al1	115.70 (7)
Lu1^ii—Al2—Lu4	66.26 (5)	Al1^iv—Lu3—Al1	122.25 (5)
O9^iii—Lu1—O6	174.8 (3)	O2^ii—Lu3—Lu3^iii	142.19 (14)
O9^iii—Lu1—O3^iii	86.4 (2)	O9—Lu3—Lu3^iii	39.67 (13)
O6—Lu1—O3^iii	89.4 (2)	O9^iii—Lu3—Lu3^iii	39.30 (19)
O9^iii—Lu1—O7^iii	85.8 (2)	O8—Lu3—Lu3^iii	91.43 (16)
O6—Lu1—O7^iii	98.0 (2)	O5^iv—Lu3—Lu3^iii	98.91 (14)
O3^iii—Lu1—O7^iii	101.03 (18)	O6^ii—Lu3—Lu3^iii	87.86 (13)
O9^iii—Lu1—O5^iv	74.76 (17)	O4^ii—Lu3—Lu3^iii	143.06 (13)
O6—Lu1—O5^iv	105.69 (19)	Al2^iv—Lu3—Lu3^iii	90.40 (5)
O3^iii—Lu1—O5^iv	128.4 (2)	Al1^iv—Lu3—Lu3^iii	121.35 (4)
O7^iii—Lu1—O5^iv	124.3 (2)	Al1—Lu3—Lu3^iii	116.13 (4)
O9^iii—Lu1—O2	104.5 (2)	O2^ii—Lu3—Lu4^iii	137.27 (15)
O6—Lu1—O2	80.21 (19)	O9—Lu3—Lu4^iii	95.71 (15)
O3^iii—Lu1—O2	165.4 (2)	O9^iii—Lu3—Lu4^iii	39.5 (2)
O7^iii—Lu1—O2	70.7 (2)	O8—Lu3—Lu4^iii	41.12 (12)
O5^iv—Lu1—O2	64.9 (2)	O5^iv—Lu3—Lu4^iii	96.21 (14)
O9^iii—Lu1—O1	100.2 (2)	O6^ii—Lu3—Lu4^iii	144.07 (12)
O6—Lu1—O1	75.68 (19)	O4^ii—Lu3—Lu4^iii	85.06 (13)
O3^iii—Lu1—O1	73.7 (2)	Al2^iv—Lu3—Lu4^iii	120.37 (4)
O7^iii—Lu1—O1	171.6 (2)	Al1^iv—Lu3—Lu4^iii	87.25 (5)
O5^iv—Lu1—O1	63.4 (2)	Al1—Lu3—Lu4^iii	123.92 (4)
O2—Lu1—O1	112.92 (16)	Lu3^iii—Lu3—Lu4^iii	64.036 (14)
O9^iii—Lu1—Al1^iv	87.18 (17)	O4^ix—Lu4—O9	163.0 (2)
O6—Lu1—Al1^iv	95.83 (15)	O4^ix—Lu4—O6^ii	87.53 (18)
O3^iii—Lu1—Al1^iv	160.44 (18)	O9—Lu4—O6^ii	77.1 (2)
O7^iii—Lu1—Al1^iv	96.91 (18)	O4^ix—Lu4—O8^v	84.7 (2)
O5^iv—Lu1—Al1^iv	32.14 (17)	O9—Lu4—O8^v	110.30 (17)
O2—Lu1—Al1^iv	32.95 (13)	O6^ii—Lu4—O8^v	171.9 (2)
O1—Lu1—Al1^iv	89.26 (14)	O4^ix—Lu4—O1^ii	75.4 (2)
O9^iii—Lu1—Al2^iv	85.38 (16)	O9—Lu4—O1^ii	108.45 (19)
O6—Lu1—Al2^iv	92.47 (15)	O6^ii—Lu4—O1^ii	80.3 (2)
O3^iii—Lu1—Al2^iv	100.91 (19)	O8^v—Lu4—O1^ii	100.0 (2)
O7^iii—Lu1—Al2^iv	155.76 (18)	O4^ix—Lu4—O8^iii	95.5 (2)
O5^iv—Lu1—Al2^iv	31.50 (17)	O9—Lu4—O8^iii	79.9 (2)
O2—Lu1—Al2^iv	89.77 (14)	O6^ii—Lu4—O8^iii	98.7 (2)
O1—Lu1—Al2^iv	32.02 (14)	O8^v—Lu4—O8^iii	79.7 (3)
Al1^iv—Lu1—Al2^iv	60.13 (5)	O1^ii—Lu4—O8^iii	170.9 (2)
O9^iii—Lu1—Lu2^v	91.9 (2)	O4^ix—Lu4—Al2	104.05 (15)
O6—Lu1—Lu2^v	82.89 (14)	O9—Lu4—Al2	83.86 (13)
O3^iii—Lu1—Lu2^v	36.67 (18)	O6^ii—Lu4—Al2	91.72 (14)
O7^iii—Lu1—Lu2^v	137.63 (18)	O8^v—Lu4—Al2	92.45 (14)
O5^iv—Lu1—Lu2^v	95.47 (17)	O1^ii—Lu4—Al2	30.48 (15)
O2—Lu1—Lu2^v	149.10 (13)	O8^iii—Lu4—Al2	158.20 (14)
O1—Lu1—Lu2^v	37.17 (13)	O4^ix—Lu4—Lu3^iii	135.90 (15)
Al1^iv—Lu1—Lu2^v	125.28 (5)	O9—Lu4—Lu3^iii	39.61 (13)
Al2^iv—Lu1—Lu2^v	65.26 (5)	O6^ii—Lu4—Lu3^iii	92.25 (14)
O9^iii—Lu1—Lu4^iv	139.2 (2)	O8^v—Lu4—Lu3^iii	91.67 (16)
O6—Lu1—Lu4^iv	37.22 (14)	O1^ii—Lu4—Lu3^iii	147.82 (15)
O3^iii—Lu1—Lu4^iv	85.85 (17)	O8^iii—Lu4—Lu3^iii	40.93 (18)
O7^iii—Lu1—Lu4^iv	135.01 (15)	Al2—Lu4—Lu3^iii	120.03 (4)
O5^iv—Lu1—Lu4^iv	79.07 (14)	O4^ix—Lu4—Lu4^x	90.25 (15)
O2—Lu1—Lu4^iv	91.80 (13)	O9—Lu4—Lu4^x	96.21 (15)
O1—Lu1—Lu4^iv	39.37 (13)	O6^ii—Lu4—Lu4^x	137.47 (14)
Al1^iv—Lu1—Lu4^iv	86.95 (5)	O8^v—Lu4—Lu4^x	40.44 (13)
Al2^iv—Lu1—Lu4^iv	57.05 (4)	O1^ii—Lu4—Lu4^x	139.71 (15)
Lu2^v—Lu1—Lu4^iv	59.875 (14)	O8^iii—Lu4—Lu4^x	39.3 (2)
O9^iii—Lu1—Lu3	36.30 (13)	Al2—Lu4—Lu4^x	129.75 (4)
O6—Lu1—Lu3	143.97 (15)	Lu3^iii—Lu4—Lu4^x	61.365 (15)
O3^iii—Lu1—Lu3	110.32 (15)	O4^ix—Lu4—Lu2^ix	39.59 (15)
O7^iii—Lu1—Lu3	106.94 (16)	O9—Lu4—Lu2^ix	142.06 (14)
O5^iv—Lu1—Lu3	38.47 (12)	O6^ii—Lu4—Lu2^ix	82.47 (14)
O2—Lu1—Lu3	83.91 (13)	O8^v—Lu4—Lu2^ix	93.01 (16)
O1—Lu1—Lu3	81.20 (13)	O1^ii—Lu4—Lu2^ix	35.84 (15)
Al1^iv—Lu1—Lu3	56.26 (4)	O8^iii—Lu4—Lu2^ix	135.12 (17)
Al2^iv—Lu1—Lu3	55.19 (4)	Al2—Lu4—Lu2^ix	65.06 (4)
Lu2^v—Lu1—Lu3	95.095 (18)	Lu3^iii—Lu4—Lu2^ix	172.933 (13)
Lu4^iv—Lu1—Lu3	112.083 (15)	Lu4^x—Lu4—Lu2^ix	120.06 (2)
O1^vi—Lu2—O3^vii	81.6 (2)	O4^ix—Lu4—Lu3^v	45.83 (16)
O1^vi—Lu2—O2	89.32 (19)	O9—Lu4—Lu3^v	149.15 (16)
O3^vii—Lu2—O2	169.1 (2)	O6^ii—Lu4—Lu3^v	133.35 (14)
O1^vi—Lu2—O7^iii	164.5 (2)	O8^v—Lu4—Lu3^v	39.02 (17)
O3^vii—Lu2—O7^iii	113.97 (17)	O1^ii—Lu4—Lu3^v	85.63 (15)
O2—Lu2—O7^iii	75.2 (2)	O8^iii—Lu4—Lu3^v	88.7 (2)
O1^vi—Lu2—O8^vii	91.6 (2)	Al2—Lu4—Lu3^v	98.07 (5)
O3^vii—Lu2—O8^vii	88.2 (2)	Lu3^iii—Lu4—Lu3^v	120.326 (15)
O2—Lu2—O8^vii	98.0 (2)	Lu4^x—Lu4—Lu3^v	58.961 (16)
O7^iii—Lu2—O8^vii	89.1 (3)	Lu2^ix—Lu4—Lu3^v	61.562 (13)
O1^vi—Lu2—O4	74.9 (2)	O4^ix—Lu4—Lu1^ii	86.32 (15)
O3^vii—Lu2—O4	92.4 (2)	O9—Lu4—Lu1^ii	85.60 (15)
O2—Lu2—O4	79.5 (2)	O6^ii—Lu4—Lu1^ii	36.81 (14)
O7^iii—Lu2—O4	103.2 (2)	O8^v—Lu4—Lu1^ii	144.42 (14)
O8^vii—Lu2—O4	166.2 (2)	O1^ii—Lu4—Lu1^ii	44.44 (15)
O1^vi—Lu2—Lu1^vi	44.59 (16)	O8^iii—Lu4—Lu1^ii	135.46 (19)
O3^vii—Lu2—Lu1^vi	37.11 (17)	Al2—Lu4—Lu1^ii	56.69 (4)
O2—Lu2—Lu1^vi	133.86 (14)	Lu3^iii—Lu4—Lu1^ii	117.97 (2)
O7^iii—Lu2—Lu1^vi	150.92 (17)	Lu4^x—Lu4—Lu1^ii	173.404 (16)
O8^vii—Lu2—Lu1^vi	87.2 (2)	Lu2^ix—Lu4—Lu1^ii	59.705 (14)
O4—Lu2—Lu1^vi	84.98 (14)	Lu3^v—Lu4—Lu1^ii	121.266 (15)
O1^vi—Lu2—Lu4^viii	38.06 (15)	Al2^iv—O1—Lu2^v	139.9 (3)
O3^vii—Lu2—Lu4^viii	86.66 (16)	Al2^iv—O1—Lu4^iv	108.1 (3)
O2—Lu2—Lu4^viii	82.52 (14)	Lu2^v—O1—Lu4^iv	106.1 (2)
O7^iii—Lu2—Lu4^viii	137.89 (15)	Al2^iv—O1—Lu1	98.2 (3)
O8^vii—Lu2—Lu4^viii	129.58 (17)	Lu2^v—O1—Lu1	98.2 (2)
O4—Lu2—Lu4^viii	36.84 (14)	Lu4^iv—O1—Lu1	96.2 (2)
Lu1^vi—Lu2—Lu4^viii	60.420 (13)	Al1^iv—O2—Lu2	127.6 (3)
O1^vi—Lu2—Lu3^iv	85.18 (17)	Al1^iv—O2—Lu3^iv	112.3 (3)
O3^vii—Lu2—Lu3^iv	136.93 (14)	Lu2—O2—Lu3^iv	109.3 (2)
O2—Lu2—Lu3^iv	35.36 (14)	Al1^iv—O2—Lu1	97.8 (2)
O7^iii—Lu2—Lu3^iv	83.02 (17)	Lu2—O2—Lu1	103.7 (2)
O8^vii—Lu2—Lu3^iv	133.14 (18)	Lu3^iv—O2—Lu1	101.5 (2)
O4—Lu2—Lu3^iv	44.56 (15)	Al1—O3—Lu2^vii	126.3 (5)
Lu1^vi—Lu2—Lu3^iv	119.653 (15)	Al1—O3—Lu1^iii	123.9 (5)
Lu4^viii—Lu2—Lu3^iv	59.233 (14)	Lu2^vii—O3—Lu1^iii	106.2 (2)
O1^vi—Lu2—Lu1	128.85 (16)	Al1^xi—O4—Lu4^viii	135.4 (3)
O3^vii—Lu2—Lu1	149.48 (17)	Al1^xi—O4—Lu2	117.6 (3)
O2—Lu2—Lu1	40.30 (14)	Lu4^viii—O4—Lu2	103.6 (2)
O7^iii—Lu2—Lu1	35.63 (17)	Al1^xi—O4—Lu3^iv	95.9 (3)
O8^vii—Lu2—Lu1	88.6 (2)	Lu4^viii—O4—Lu3^iv	96.4 (2)
O4—Lu2—Lu1	97.74 (14)	Lu2—O4—Lu3^iv	95.9 (2)
Lu1^vi—Lu2—Lu1	172.025 (12)	Al1—O5—Al2	134.9 (3)
Lu4^viii—Lu2—Lu1	118.072 (14)	Al1—O5—Lu3^ii	105.3 (3)
Lu3^iv—Lu2—Lu1	59.438 (13)	Al2—O5—Lu3^ii	103.1 (3)
O1^vi—Lu2—Lu4^iii	124.70 (15)	Al1—O5—Lu1^ii	102.6 (3)
O3^vii—Lu2—Lu4^iii	102.42 (15)	Al2—O5—Lu1^ii	104.6 (3)
O2—Lu2—Lu4^iii	87.60 (14)	Lu3^ii—O5—Lu1^ii	102.39 (18)
O7^iii—Lu2—Lu4^iii	54.38 (15)	Al2^xi—O6—Lu1	122.0 (3)
O8^vii—Lu2—Lu4^iii	34.8 (2)	Al2^xi—O6—Lu4^iv	125.6 (3)
O4—Lu2—Lu4^iii	156.67 (14)	Lu1—O6—Lu4^iv	106.0 (2)
Lu1^vi—Lu2—Lu4^iii	117.607 (14)	Al2^xi—O6—Lu3^iv	95.4 (2)
Lu4^viii—Lu2—Lu4^iii	159.792 (10)	Lu1—O6—Lu3^iv	99.6 (2)
Lu3^iv—Lu2—Lu4^iii	118.642 (17)	Lu4^iv—O6—Lu3^iv	100.7 (2)
Lu1—Lu2—Lu4^iii	60.716 (12)	Al2—O7—Lu2^iii	126.1 (5)
O1^vi—Lu2—Lu3^vii	85.85 (16)	Al2—O7—Lu1^iii	123.6 (5)
O3^vii—Lu2—Lu3^vii	56.75 (14)	Lu2^iii—O7—Lu1^iii	109.0 (2)
O2—Lu2—Lu3^vii	128.77 (14)	Lu4^vi—O8—Lu2^vii	110.1 (3)
O7^iii—Lu2—Lu3^vii	102.54 (16)	Lu4^vi—O8—Lu3	102.9 (2)
O8^vii—Lu2—Lu3^vii	31.5 (2)	Lu2^vii—O8—Lu3	117.4 (3)
O4—Lu2—Lu3^vii	146.03 (14)	Lu4^vi—O8—Lu4^iii	100.3 (3)
Lu1^vi—Lu2—Lu3^vii	62.045 (13)	Lu2^vii—O8—Lu4^iii	125.0 (2)
Lu4^viii—Lu2—Lu3^vii	119.182 (17)	Lu3—O8—Lu4^iii	97.9 (2)
Lu3^iv—Lu2—Lu3^vii	161.782 (11)	Lu1^iii—O9—Lu3	120.0 (4)
Lu1—Lu2—Lu3^vii	116.038 (15)	Lu1^iii—O9—Lu4	113.8 (3)
Lu4^iii—Lu2—Lu3^vii	55.607 (13)	Lu3—O9—Lu4	110.2 (2)
O2^ii—Lu3—O9	102.6 (2)	Lu1^iii—O9—Lu3^iii	108.2 (2)
O2^ii—Lu3—O9^iii	176.7 (3)	Lu3—O9—Lu3^iii	101.0 (3)
O9—Lu3—O9^iii	79.0 (3)	Lu4—O9—Lu3^iii	100.9 (3)

Symmetry codes: (i) x, y, z−1; (ii) x, −y+1/2, z−1/2; (iii) −x+1, −y, −z+1; (iv) x, −y+1/2, z+1/2; (v) x+1, y, z; (vi) x−1, y, z; (vii) −x, −y, −z+1; (viii) x−1, −y+1/2, z+1/2; (ix) x+1, −y+1/2, z−1/2; (x) −x+2, −y, −z+1; (xi) x, y, z+1.