The novel borate Lu₅Ba₆B₉O₂₇ with a new structure type: synthesis, disordered crystal structure and negative linear thermal expansion

Single crystals of Lu₅Ba₆B₉O₂₇ were obtained by cooling from a melt and polycrystals of the borate were prepared using a multi-step solid-state synthesis. The crystal structure was determined from single-crystal X-ray diffraction data. The borate crystallizes in a new structure type in the monoclinic crystal system in space group C2/c, with cell parameters a = 13.0927 (3), b = 9.9970 (2) and c = 20.4884 (4) Å, β = 106.827 (1)°, V = 2566.86 (9) ų and Z = 4. It is described as a framework composed of rings consisting of vertex-sharing [BO₃] triangles and [LuO₆] octahedra. The Ba atoms are in the cavities of the framework. The structure is disordered: one of the B atoms is surrounded by six O atoms with partial occupancies of 0.5. The thermal properties of Lu₅Ba₆B₉O₂₇ were investigated by thermal analysis and high-temperature X-ray powder diffraction. Its thermal expansion is highly anisotropic. The negative expansion (contraction) is along the b axis, i.e. parallel to the planes of the largest number of [BO₃] triangles. The coefficient of negative linear expansion ranges from −1.42 (at 20°C) to −5.57 × 10^–6 °C^–1 (at 1000°C). Thermal deformation of the ac plane is described in terms of the theory of shear deformation of monoclinic crystals. The Lu₅Ba₆B₉O₂₇ sample melts at 1170°C.

Computing details

(I)

Crystal data

B9Ba6Lu5O27	F(000) = 3808
Mr = 2244.2	Dx = 5.807 Mg m^−3
Monoclinic, C2/c	Mo Kα radiation, λ = 0.71069 Å
Hall symbol: -C 2yc	Cell parameters from 13445 reflections
a = 13.0927 (3) Å	θ = 2.1–33.4°
b = 9.9970 (2) Å	µ = 28.19 mm^−1
c = 20.4884 (4) Å	T = 293 K
β = 106.827 (1)°	Table, white
V = 2566.86 (9) Å^3	0.08 × 0.06 × 0.05 mm
Z = 4

Data collection

Bruker Smart APEX II diffractometer	3199 reflections with I > 3σ(I)
Radiation source: X-ray tube	Rint = 0.035
Absorption correction: multi-scan (Krause et al., 2015)	θmax = 33.4°, θmin = 2.1°
Tmin = 0.820, Tmax = 0.870	h = −20→18
13445 measured reflections	k = −11→14
4428 independent reflections	l = −31→27

Refinement

Refinement on F	12 constraints
R[F^2 > 2σ(F^2)] = 0.028	Weighting scheme based on measured s.u.'s w = 1/(σ^2(F) + 0.0001F^2)
wR(F^2) = 0.030	(Δ/σ)max = 0.028
S = 1.18	Δρmax = 1.18 e Å^−3
4428 reflections	Δρmin = −1.50 e Å^−3
204 parameters	Extinction correction: B-C type 1 Gaussian isotropic (Becker & Coppens, 1974)
0 restraints	Extinction coefficient: 550 (20)

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

	x	y	z	Uiso*/Ueq	Occ. (<1)
Lu1	0.5	0	0	0.00822 (11)
Lu2	0.26103 (2)	−0.00756 (3)	0.066162 (14)	0.00822 (8)
Lu3	0.36450 (2)	0.24784 (3)	0.212196 (14)	0.00974 (8)
Ba1	0.48188 (3)	0.37268 (4)	0.07664 (2)	0.01094 (11)
Ba2	0.74687 (3)	0.11058 (4)	0.14021 (2)	0.01546 (13)
Ba3	0.56852 (3)	−0.25023 (5)	0.15923 (3)	0.02098 (14)
O1	0.5840 (4)	0.1921 (4)	0.0196 (2)	0.0131 (15)
O2	0.2920 (4)	0.3363 (5)	0.1078 (2)	0.0168 (16)
O3	0.5376 (4)	−0.0040 (5)	0.1119 (2)	0.0164 (16)
O4	0.8365 (4)	0.2913 (5)	0.0714 (2)	0.0167 (9)
O5	0.6869 (4)	0.4256 (5)	0.1427 (2)	0.0201 (17)
O6	0.5036 (8)	0.3968 (9)	0.2771 (5)	0.016 (2)*	0.5
O7	0.4537 (7)	0.6346 (9)	0.2168 (5)	0.017 (3)	0.5
O8	0.5466 (4)	0.1841 (5)	0.1846 (2)	0.0167 (9)
O9	0.3432 (3)	0.0938 (4)	−0.0073 (2)	0.0119 (14)
O10	0.7513 (4)	−0.1127 (5)	0.2366 (2)	0.0155 (16)
O11	0.7363 (4)	−0.3916 (5)	0.2203 (3)	0.0162 (16)
O12	0.4546 (7)	0.5346 (10)	0.1764 (5)	0.016 (3)	0.5
O13	0.1607 (4)	0.1799 (5)	0.0485 (3)	0.0165 (16)
O14	0.3924 (4)	0.0599 (5)	0.1533 (3)	0.0198 (17)
O15	0.1249 (4)	−0.0937 (5)	−0.0155 (2)	0.0167 (9)
B1	0.5	0.5202 (11)	0.25	0.012 (2)*
B2	0.2062 (6)	0.3058 (7)	0.0547 (4)	0.009 (2)
B3	0.4938 (6)	0.0752 (8)	0.1502 (4)	0.014 (2)
B4	0.8724 (5)	0.2318 (7)	0.0222 (4)	0.0092 (13)*
B5	0.7750 (6)	−0.0274 (8)	0.2921 (4)	0.012 (2)

Atomic displacement parameters (Ų)

	U^11	U^22	U^33	U^12	U^13	U^23
Lu1	0.00680 (16)	0.00809 (17)	0.00940 (18)	0.00033 (14)	0.00176 (14)	0.00171 (15)
Lu2	0.00879 (12)	0.00692 (12)	0.00902 (13)	−0.00089 (10)	0.00269 (10)	0.00025 (10)
Lu3	0.00939 (12)	0.00834 (13)	0.01087 (13)	0.00005 (10)	0.00196 (10)	0.00119 (10)
Ba1	0.01000 (17)	0.01309 (19)	0.00999 (18)	0.00075 (15)	0.00330 (15)	0.00045 (15)
Ba2	0.00929 (18)	0.0210 (2)	0.0145 (2)	−0.00102 (16)	0.00082 (16)	0.00691 (17)
Ba3	0.01235 (19)	0.0164 (2)	0.0304 (3)	−0.00111 (17)	0.00027 (18)	0.00768 (19)
O1	0.018 (2)	0.007 (2)	0.016 (3)	−0.0030 (18)	0.007 (2)	0.0008 (19)
O2	0.018 (2)	0.022 (3)	0.009 (2)	0.001 (2)	0.002 (2)	0.001 (2)
O3	0.012 (2)	0.025 (3)	0.012 (2)	0.003 (2)	0.005 (2)	0.009 (2)
O4	0.0210 (15)	0.0136 (14)	0.0128 (15)	−0.0043 (12)	0.0004 (12)	0.0017 (11)
O5	0.017 (3)	0.033 (3)	0.010 (2)	−0.013 (2)	0.005 (2)	−0.002 (2)
O7	0.016 (5)	0.017 (5)	0.019 (5)	−0.002 (4)	0.007 (4)	0.009 (4)
O8	0.0210 (15)	0.0136 (14)	0.0128 (15)	−0.0043 (12)	0.0004 (12)	0.0017 (11)
O9	0.013 (2)	0.013 (2)	0.011 (2)	0.0040 (18)	0.0059 (19)	0.0044 (19)
O10	0.019 (2)	0.012 (2)	0.015 (2)	0.003 (2)	0.004 (2)	−0.005 (2)
O11	0.016 (2)	0.013 (2)	0.019 (3)	−0.001 (2)	0.005 (2)	0.005 (2)
O12	0.012 (5)	0.025 (5)	0.009 (5)	0.004 (4)	0.001 (4)	0.000 (4)
O13	0.014 (2)	0.010 (2)	0.023 (3)	−0.0025 (19)	0.000 (2)	−0.002 (2)
O14	0.009 (2)	0.027 (3)	0.021 (3)	0.001 (2)	0.000 (2)	−0.007 (2)
O15	0.0210 (15)	0.0136 (14)	0.0128 (15)	−0.0043 (12)	0.0004 (12)	0.0017 (11)
B2	0.015 (3)	0.005 (3)	0.009 (3)	0.003 (3)	0.007 (3)	0.000 (3)
B3	0.018 (4)	0.010 (3)	0.013 (4)	−0.002 (3)	0.001 (3)	0.002 (3)
B5	0.009 (3)	0.016 (4)	0.011 (4)	0.003 (3)	0.002 (3)	−0.006 (3)

Geometric parameters (Å, º)

Lu1—O1	2.192 (4)	O1—B4^v	1.385 (9)
Lu1—O1^i	2.192 (4)	O2—O9^iii	2.398 (6)
Lu1—O3	2.201 (5)	O2—O10^vii	2.885 (8)
Lu1—O3^i	2.201 (5)	O2—O13	2.380 (6)
Lu1—O9	2.222 (5)	O2—O14	3.086 (7)
Lu1—O9^i	2.222 (5)	O2—B2	1.353 (8)
Lu1—B2^ii	3.250 (7)	O2—O6^vi	3.071 (9)
Lu1—B2^iii	3.250 (7)	O2—O12	2.950 (10)
Lu1—B3	3.191 (9)	O3—O4^iv	3.248 (7)
Lu1—B3^i	3.191 (9)	O3—O8	2.380 (7)
Lu1—B4^iv	3.259 (7)	O3—O9	3.130 (6)
Lu1—B4^v	3.259 (7)	O3—O9^i	3.126 (8)
Lu2—O4^iv	2.230 (5)	O3—O10	3.376 (6)
Lu2—O5^iv	2.174 (6)	O3—O14	2.383 (8)
Lu2—O9	2.321 (5)	O3—B2^ii	3.370 (10)
Lu2—O13	2.257 (5)	O3—B3	1.354 (10)
Lu2—O14	2.196 (4)	O4—O4^v	3.245 (6)
Lu2—O15	2.235 (4)	O4—O5	3.071 (8)
Lu2—B2	3.207 (7)	O4—O14^viii	3.139 (7)
Lu2—B2^iii	3.316 (8)	O4—O15^viii	3.052 (6)
Lu2—B3	3.146 (7)	O4—O15^i	2.408 (7)
Lu2—B4^iv	3.239 (8)	O4—B4	1.365 (10)
Lu2—B4^i	3.086 (7)	O4—B4^v	2.860 (8)
Lu2—B5^vi	3.080 (9)	O4—O7^ii	3.322 (10)
Lu3—O2	2.255 (5)	O5—O8	3.295 (7)
Lu3—O8	2.682 (5)	O5—O10^ix	2.401 (7)
Lu3—O8^vi	2.193 (4)	O5—O11^xii	2.387 (7)
Lu3—O10^vii	2.195 (5)	O5—O13^viii	3.150 (7)
Lu3—O11^vii	2.225 (5)	O5—O14^viii	2.958 (7)
Lu3—O14	2.319 (5)	O5—O15^viii	3.111 (7)
Lu3—B1	3.220 (9)	O5—B5^ix	1.368 (9)
Lu3—B2	3.343 (7)	O5—O6^vi	3.374 (13)
Lu3—B3	2.950 (9)	O8—O8^vi	3.251 (8)
Lu3—B3^vi	3.368 (7)	O8—O10^ix	3.356 (6)
Lu3—B5^vii	3.196 (8)	O8—O11^ix	3.041 (6)
Lu3—B5^vi	3.290 (8)	O8—O14	2.297 (7)
Lu3—O6	2.429 (9)	O8—B3	1.370 (9)
Lu3—O6^vi	2.242 (10)	O8—O6	3.008 (11)
Lu3—O12	3.263 (10)	O8—O6^vi	2.423 (11)
Ba1—O1	2.705 (5)	O9—O13	3.056 (8)
Ba1—O2	2.763 (5)	O9—O13^iii	2.410 (6)
Ba1—O5	2.686 (5)	O9—O14	3.182 (7)
Ba1—O8	2.842 (5)	O9—O15	3.382 (7)
Ba1—O13^iii	2.751 (4)	O9—B2	3.262 (9)
Ba1—O15^viii	3.038 (6)	O9—B2^iii	1.416 (8)
Ba1—O15^iii	2.719 (5)	O9—B3	3.263 (8)
Ba1—B3	3.317 (8)	O10—O11	2.808 (6)
Ba1—B4^v	3.326 (8)	O10—O11^ix	2.369 (7)
Ba1—O6^vi	2.957 (10)	O10—B5	1.383 (9)
Ba1—O12	2.711 (10)	O10—O6^ii	3.166 (11)
Ba2—O1	2.875 (4)	O10—O6^xiii	3.302 (12)
Ba2—O2^ii	2.921 (5)	O11—O14^ii	2.815 (8)
Ba2—O3	2.869 (5)	O11—B5^xiii	1.381 (9)
Ba2—O4	2.755 (5)	O11—O7^xi	3.125 (12)
Ba2—O5	3.249 (5)	O13—O14	3.388 (6)
Ba2—O8	3.102 (5)	O13—O15	3.011 (7)
Ba2—O9^i	3.335 (4)	O13—B2	1.382 (8)
Ba2—O10	2.970 (5)	O13—B2^iii	3.108 (10)
Ba2—O11^ix	2.801 (5)	O14—B3	1.356 (10)
Ba2—B3	3.397 (9)	O14—B5^vi	2.870 (10)
Ba2—B5	3.325 (8)	O15—B4^i	1.389 (9)
Ba2—O7^ii	2.718 (8)	O15—O12^iii	3.212 (11)
Ba2—O12^ii	2.712 (9)	B1—B5^vii	3.334 (9)
Ba3—O3	2.634 (5)	B1—B5^ix	3.334 (9)
Ba3—O4^iv	3.078 (4)	B1—O6	1.348 (14)
Ba3—O10	2.816 (4)	B1—O6^vi	1.348 (14)
Ba3—O11	2.607 (4)	B1—O7	1.378 (13)
Ba3—O13^ii	2.946 (6)	B1—O7^vi	1.378 (13)
Ba3—B1^x	3.240 (8)	B1—O12	1.458 (9)
Ba3—B2^ii	3.223 (9)	B1—O12^vi	1.458 (9)
Ba3—B3	3.387 (8)	B2—B2^iii	3.011 (12)
Ba3—B4^iv	3.215 (6)	B4—B4^v	3.091 (10)
Ba3—O7^x	2.451 (11)	B5—O6^ii	3.188 (13)
Ba3—O7^xi	2.879 (10)	O6—O6^vi	1.086 (14)
Ba3—O12^x	2.698 (10)	O6—O7	2.671 (13)
O1—O3	2.907 (7)	O6—O7^vi	2.437 (13)
O1—O3^i	3.293 (6)	O6—O12	2.407 (13)
O1—O4	3.318 (7)	O6—O12^vi	1.674 (13)
O1—O4^v	2.389 (8)	O7—O7^vi	1.539 (12)
O1—O9	3.195 (6)	O7—O12	1.299 (14)
O1—O9^i	3.046 (6)	O7—O12^vi	2.389 (13)
O1—O13^iii	3.356 (6)	O12—O12^vi	2.902 (13)
O1—O15^viii	2.369 (7)
O1—Lu1—O1^i	180.0 (5)	Ba2^i—O9—O3^i	52.61 (11)
O1—Lu1—O3	82.87 (18)	Ba2^i—O9—O13	110.38 (15)
O1—Lu1—O3^i	97.13 (18)	Ba2^i—O9—O13^iii	108.79 (19)
O1—Lu1—O9	92.72 (17)	Ba2^i—O9—O14	134.18 (18)
O1—Lu1—O9^i	87.28 (17)	Ba2^i—O9—O15	61.69 (11)
O1—Lu1—B2^ii	97.90 (17)	Ba2^i—O9—B2	127.71 (17)
O1—Lu1—B2^iii	82.10 (17)	Ba2^i—O9—B2^iii	83.7 (3)
O1—Lu1—B3	76.6 (2)	Ba2^i—O9—B3	137.9 (2)
O1—Lu1—B3^i	103.4 (2)	O1—O9—O1^i	89.20 (17)
O1—Lu1—B4^iv	161.00 (19)	O1—O9—O2^iii	120.3 (2)
O1—Lu1—B4^v	19.00 (19)	O1—O9—O3	54.71 (14)
O1^i—Lu1—O3	97.13 (18)	O1—O9—O3^i	62.80 (15)
O1^i—Lu1—O3^i	82.87 (18)	O1—O9—O13	133.51 (19)
O1^i—Lu1—O9	87.28 (17)	O1—O9—O13^iii	72.02 (18)
O1^i—Lu1—O9^i	92.72 (17)	O1—O9—O14	87.73 (16)
O1^i—Lu1—B2^ii	82.10 (17)	O1—O9—O15	163.15 (18)
O1^i—Lu1—B2^iii	97.90 (17)	O1—O9—B2	111.1 (2)
O1^i—Lu1—B3	103.4 (2)	O1—O9—B2^iii	97.6 (4)
O1^i—Lu1—B3^i	76.6 (2)	O1—O9—B3	64.1 (2)
O1^i—Lu1—B4^iv	19.00 (19)	O1^i—O9—O2^iii	111.9 (2)
O1^i—Lu1—B4^v	161.00 (19)	O1^i—O9—O3	64.43 (15)
O3—Lu1—O3^i	180.0 (5)	O1^i—O9—O3^i	56.18 (16)
O3—Lu1—O9	90.08 (17)	O1^i—O9—O13	126.3 (2)
O3—Lu1—O9^i	89.92 (17)	O1^i—O9—O13^iii	145.8 (3)
O3—Lu1—B2^ii	73.56 (19)	O1^i—O9—O14	90.64 (17)
O3—Lu1—B2^iii	106.44 (19)	O1^i—O9—O15	75.87 (16)
O3—Lu1—B3	20.05 (18)	O1^i—O9—B2	149.6 (2)
O3—Lu1—B3^i	159.95 (18)	O1^i—O9—B2^iii	134.4 (4)
O3—Lu1—B4^iv	79.01 (18)	O1^i—O9—B3	85.09 (19)
O3—Lu1—B4^v	100.99 (18)	O2^iii—O9—O3	172.8 (3)
O3^i—Lu1—O9	89.92 (17)	O2^iii—O9—O3^i	83.4 (2)
O3^i—Lu1—O9^i	90.08 (17)	O2^iii—O9—O13	77.1 (2)
O3^i—Lu1—B2^ii	106.44 (19)	O2^iii—O9—O13^iii	59.35 (19)
O3^i—Lu1—B2^iii	73.56 (19)	O2^iii—O9—O14	142.8 (3)
O3^i—Lu1—B3	159.95 (18)	O2^iii—O9—O15	73.46 (18)
O3^i—Lu1—B3^i	20.05 (18)	O2^iii—O9—B2	78.0 (2)
O3^i—Lu1—B4^iv	100.99 (18)	O2^iii—O9—B2^iii	29.3 (3)
O3^i—Lu1—B4^v	79.01 (18)	O2^iii—O9—B3	161.8 (3)
O9—Lu1—O9^i	180.0 (5)	O3—O9—O3^i	89.44 (17)
O9—Lu1—B2^ii	159.11 (19)	O3—O9—O13	110.1 (2)
O9—Lu1—B2^iii	20.89 (19)	O3—O9—O13^iii	119.8 (2)
O9—Lu1—B3	71.60 (18)	O3—O9—O14	44.35 (15)
O9—Lu1—B3^i	108.40 (18)	O3—O9—O15	110.54 (18)
O9—Lu1—B4^iv	81.71 (17)	O3—O9—B2	108.3 (2)
O9—Lu1—B4^v	98.29 (17)	O3—O9—B2^iii	149.7 (4)
O9^i—Lu1—B2^ii	20.89 (19)	O3—O9—B3	24.34 (18)
O9^i—Lu1—B2^iii	159.11 (19)	O3^i—O9—O13	159.55 (18)
O9^i—Lu1—B3	108.40 (18)	O3^i—O9—O13^iii	89.6 (2)
O9^i—Lu1—B3^i	71.60 (18)	O3^i—O9—O14	133.35 (18)
O9^i—Lu1—B4^iv	98.29 (17)	O3^i—O9—O15	112.89 (18)
O9^i—Lu1—B4^v	81.71 (17)	O3^i—O9—B2	153.3 (2)
B2^ii—Lu1—B2^iii	180.0 (5)	O3^i—O9—B2^iii	87.3 (4)
B2^ii—Lu1—B3	93.37 (19)	O3^i—O9—B3	112.5 (2)
B2^ii—Lu1—B3^i	86.63 (19)	O13—O9—O13^iii	85.8 (2)
B2^ii—Lu1—B4^iv	82.46 (18)	O13—O9—O14	65.76 (16)
B2^ii—Lu1—B4^v	97.54 (18)	O13—O9—O15	55.51 (15)
B2^iii—Lu1—B3	86.63 (19)	O13—O9—B2	25.01 (16)
B2^iii—Lu1—B3^i	93.37 (19)	O13—O9—B2^iii	78.8 (4)
B2^iii—Lu1—B4^iv	97.54 (18)	O13—O9—B3	87.7 (2)
B2^iii—Lu1—B4^v	82.46 (18)	O13^iii—O9—O14	116.1 (2)
B3—Lu1—B3^i	180.0 (5)	O13^iii—O9—O15	124.8 (2)
B3—Lu1—B4^iv	84.4 (2)	O13^iii—O9—B2	64.4 (2)
B3—Lu1—B4^v	95.6 (2)	O13^iii—O9—B2^iii	30.2 (3)
B3^i—Lu1—B4^iv	95.6 (2)	O13^iii—O9—B3	110.2 (2)
B3^i—Lu1—B4^v	84.4 (2)	O14—O9—O15	84.71 (17)
B4^iv—Lu1—B4^v	180.0 (5)	O14—O9—B2	68.68 (18)
O4^iv—Lu2—O5^iv	88.4 (2)	O14—O9—B2^iii	134.4 (4)
O4^iv—Lu2—O9	98.20 (18)	O14—O9—B3	24.25 (19)
O4^iv—Lu2—O13	170.41 (16)	O15—O9—B2	80.07 (19)
O4^iv—Lu2—O14	90.35 (17)	O15—O9—B2^iii	98.4 (4)
O4^iv—Lu2—O15	86.26 (17)	O15—O9—B3	106.1 (2)
O4^iv—Lu2—B2	166.2 (2)	B2—O9—B2^iii	67.2 (4)
O4^iv—Lu2—B2^iii	115.7 (2)	B2—O9—B3	84.0 (2)
O4^iv—Lu2—B3	82.25 (18)	B2^iii—O9—B3	138.1 (4)
O4^iv—Lu2—B4^iv	19.72 (19)	Lu3^ii—O10—Ba2	102.2 (2)
O4^iv—Lu2—B4^i	62.66 (17)	Lu3^ii—O10—Ba3	94.69 (16)
O4^iv—Lu2—B5^vi	94.8 (2)	Lu3^ii—O10—O2^ii	50.50 (14)
O5^iv—Lu2—O9	171.59 (18)	Lu3^ii—O10—O3	119.9 (2)
O5^iv—Lu2—O13	90.6 (2)	Lu3^ii—O10—O5^xiii	106.7 (2)
O5^iv—Lu2—O14	85.20 (19)	Lu3^ii—O10—O8^xiii	40.09 (12)
O5^iv—Lu2—O15	89.75 (18)	Lu3^ii—O10—O11	51.05 (14)
O5^iv—Lu2—B2	102.5 (2)	Lu3^ii—O10—O11^ix	134.4 (3)
O5^iv—Lu2—B2^iii	155.04 (19)	Lu3^ii—O10—B5	125.0 (4)
O5^iv—Lu2—B3	104.5 (2)	Lu3^ii—O10—O6^ii	50.0 (2)
O5^iv—Lu2—B4^iv	106.5 (2)	Lu3^ii—O10—O6^xiii	42.46 (18)
O5^iv—Lu2—B4^i	84.5 (2)	Ba2—O10—Ba3	98.22 (13)
O5^iv—Lu2—B5^vi	22.83 (18)	Ba2—O10—O2^ii	59.85 (14)
O9—Lu2—O13	83.74 (18)	Ba2—O10—O3	53.29 (11)
O9—Lu2—O14	89.54 (18)	Ba2—O10—O5^xiii	120.1 (2)
O9—Lu2—O15	95.84 (17)	Ba2—O10—O8^xiii	129.5 (2)
O9—Lu2—B2	70.23 (19)	Ba2—O10—O11	132.9 (2)
O9—Lu2—B2^iii	20.92 (17)	Ba2—O10—O11^ix	62.10 (17)
O9—Lu2—B3	71.49 (19)	Ba2—O10—B5	92.3 (4)
O9—Lu2—B4^iv	80.80 (18)	Ba2—O10—O6^ii	88.3 (2)
O9—Lu2—B4^i	103.12 (18)	Ba2—O10—O6^xiii	75.8 (2)
O9—Lu2—B5^vi	149.96 (17)	Ba3—O10—O2^ii	75.59 (15)
O13—Lu2—O14	99.08 (17)	Ba3—O10—O3	49.34 (11)
O13—Lu2—O15	84.20 (17)	Ba3—O10—O5^xiii	129.5 (3)
O13—Lu2—B2	21.51 (18)	Ba3—O10—O8^xiii	113.49 (16)
O13—Lu2—B2^iii	64.5 (2)	Ba3—O10—O11	55.23 (12)
O13—Lu2—B3	107.21 (18)	Ba3—O10—O11^ix	128.4 (2)
O13—Lu2—B4^iv	155.72 (18)	Ba3—O10—B5	135.7 (5)
O13—Lu2—B4^i	107.75 (17)	Ba3—O10—O6^ii	144.5 (3)
O13—Lu2—B5^vi	87.9 (2)	Ba3—O10—O6^xiii	130.9 (2)
O14—Lu2—O15	173.99 (19)	O2^ii—O10—O3	72.34 (16)
O14—Lu2—B2	82.28 (18)	O2^ii—O10—O5^xiii	151.0 (3)
O14—Lu2—B2^iii	100.38 (18)	O2^ii—O10—O8^xiii	90.27 (19)
O14—Lu2—B3	21.2 (2)	O2^ii—O10—O11	75.02 (19)
O14—Lu2—B4^iv	99.40 (17)	O2^ii—O10—O11^ix	119.6 (3)
O14—Lu2—B4^i	151.29 (18)	O2^ii—O10—B5	143.5 (5)
O14—Lu2—B5^vi	63.3 (2)	O2^ii—O10—O6^ii	77.9 (2)
O15—Lu2—B2	102.04 (17)	O2^ii—O10—O6^xiii	59.1 (2)
O15—Lu2—B2^iii	85.57 (18)	O3—O10—O5^xiii	133.4 (2)
O15—Lu2—B3	161.4 (2)	O3—O10—O8^xiii	157.6 (2)
O15—Lu2—B4^iv	78.90 (17)	O3—O10—O11	102.47 (17)
O15—Lu2—B4^i	24.12 (17)	O3—O10—O11^ix	86.21 (18)
O15—Lu2—B5^vi	111.99 (19)	O3—O10—B5	111.3 (4)
B2—Lu2—B2^iii	54.9 (2)	O3—O10—O6^ii	139.6 (3)
B2—Lu2—B3	86.79 (18)	O3—O10—O6^xiii	122.6 (2)
B2—Lu2—B4^iv	151.0 (2)	O5^xiii—O10—O8^xiii	67.48 (18)
B2—Lu2—B4^i	126.15 (17)	O5^xiii—O10—O11	105.8 (2)
B2—Lu2—B5^vi	92.3 (2)	O5^xiii—O10—O11^ix	60.1 (2)
B2^iii—Lu2—B3	86.25 (19)	O5^xiii—O10—B5	29.1 (4)
B2^iii—Lu2—B4^iv	96.63 (19)	O5^xiii—O10—O6^ii	73.2 (2)
B2^iii—Lu2—B4^i	100.23 (18)	O5^xiii—O10—O6^xiii	92.1 (2)
B2^iii—Lu2—B5^vi	146.23 (19)	O8^xiii—O10—O11	58.30 (14)
B3—Lu2—B4^iv	85.46 (19)	O8^xiii—O10—O11^ix	115.21 (19)
B3—Lu2—B4^i	143.7 (2)	O8^xiii—O10—B5	91.1 (4)
B3—Lu2—B5^vi	83.7 (2)	O8^xiii—O10—O6^ii	43.5 (2)
B4^iv—Lu2—B4^i	58.44 (18)	O8^xiii—O10—O6^xiii	53.7 (2)
B4^iv—Lu2—B5^vi	114.5 (2)	O11—O10—O11^ix	165.0 (3)
B4^i—Lu2—B5^vi	106.9 (2)	O11—O10—B5	134.5 (4)
O2—Lu3—O8	92.79 (17)	O11—O10—O6^ii	95.3 (2)
O2—Lu3—O8^vi	171.56 (18)	O11—O10—O6^xiii	93.2 (2)
O2—Lu3—O10^vii	80.81 (18)	O11^ix—O10—B5	31.0 (4)
O2—Lu3—O11^vii	101.39 (17)	O11^ix—O10—O6^ii	85.4 (2)
O2—Lu3—O14	84.86 (18)	O11^ix—O10—O6^xiii	92.3 (2)
O2—Lu3—B1	87.00 (14)	B5—O10—O6^ii	78.3 (4)
O2—Lu3—B2	16.86 (18)	B5—O10—O6^xiii	93.4 (4)
O2—Lu3—B3	87.6 (2)	O6^ii—O10—O6^xiii	19.2 (2)
O2—Lu3—B3^vi	166.9 (2)	Lu3^ii—O11—Ba2^xiii	103.49 (16)
O2—Lu3—B5^vii	95.40 (19)	Lu3^ii—O11—Ba3	99.99 (17)
O2—Lu3—B5^vi	103.00 (17)	Lu3^ii—O11—O5^x	119.6 (3)
O2—Lu3—O6	108.8 (3)	Lu3^ii—O11—O8^xiii	46.08 (13)
O2—Lu3—O6^vi	86.2 (3)	Lu3^ii—O11—O10	50.09 (14)
O2—Lu3—O12	61.48 (19)	Lu3^ii—O11—O10^xiii	129.8 (2)
O8—Lu3—O8^vi	83.01 (17)	Lu3^ii—O11—O14^ii	53.22 (16)
O8—Lu3—O10^vii	154.05 (16)	Lu3^ii—O11—B5^xiii	130.1 (5)
O8—Lu3—O11^vii	127.08 (16)	Lu3^ii—O11—O7^xi	133.3 (3)
O8—Lu3—O14	54.12 (15)	Ba2^xiii—O11—Ba3	107.00 (19)
O8—Lu3—B1	77.90 (13)	Ba2^xiii—O11—O5^x	127.8 (2)
O8—Lu3—B2	100.25 (18)	Ba2^xiii—O11—O8^xiii	63.99 (14)
O8—Lu3—B3	27.63 (18)	Ba2^xiii—O11—O10	83.65 (17)
O8—Lu3—B3^vi	75.34 (19)	Ba2^xiii—O11—O10^xiii	69.55 (18)
O8—Lu3—B5^vii	139.07 (16)	Ba2^xiii—O11—O14^ii	130.17 (18)
O8—Lu3—B5^vi	108.43 (18)	Ba2^xiii—O11—B5^xiii	99.7 (4)
O8—Lu3—O6	71.9 (3)	Ba2^xiii—O11—O7^xi	54.28 (19)
O8—Lu3—O6^vi	58.1 (3)	Ba3—O11—O5^x	93.85 (18)
O8—Lu3—O12	76.1 (2)	Ba3—O11—O8^xiii	132.41 (19)
O8^vi—Lu3—O10^vii	99.79 (18)	Ba3—O11—O10	62.55 (13)
O8^vi—Lu3—O11^vii	86.96 (18)	Ba3—O11—O10^xiii	130.0 (2)
O8^vi—Lu3—O14	98.44 (17)	Ba3—O11—O14^ii	119.3 (2)
O8^vi—Lu3—B1	84.96 (14)	Ba3—O11—B5^xiii	114.5 (4)
O8^vi—Lu3—B2	171.56 (18)	Ba3—O11—O7^xi	59.49 (19)
O8^vi—Lu3—B3	92.0 (2)	O5^x—O11—O8^xiii	129.8 (2)
O8^vi—Lu3—B3^vi	14.90 (19)	O5^x—O11—O10	146.7 (3)
O8^vi—Lu3—B5^vii	83.19 (18)	O5^x—O11—O10^xiii	60.6 (2)
O8^vi—Lu3—B5^vi	85.31 (17)	O5^x—O11—O14^ii	68.7 (2)
O8^vi—Lu3—O6	63.0 (2)	O5^x—O11—B5^xiii	29.6 (4)
O8^vi—Lu3—O6^vi	85.4 (3)	O5^x—O11—O7^xi	104.2 (3)
O8^vi—Lu3—O12	110.27 (19)	O8^xiii—O11—O10	69.92 (16)
O10^vii—Lu3—O11^vii	78.86 (18)	O8^xiii—O11—O10^xiii	92.44 (19)
O10^vii—Lu3—O14	148.38 (16)	O8^xiii—O11—O14^ii	71.29 (18)
O10^vii—Lu3—B1	76.68 (15)	O8^xiii—O11—B5^xiii	113.1 (4)
O10^vii—Lu3—B2	80.73 (18)	O8^xiii—O11—O7^xi	115.0 (2)
O10^vii—Lu3—B3	168.23 (19)	O10—O11—O10^xiii	152.6 (3)
O10^vii—Lu3—B3^vi	112.3 (2)	O10—O11—O14^ii	101.1 (2)
O10^vii—Lu3—B5^vii	20.78 (16)	O10—O11—B5^xiii	176.2 (4)
O10^vii—Lu3—B5^vi	97.52 (19)	O10—O11—O7^xi	84.5 (2)
O10^vii—Lu3—O6	86.3 (3)	O10^xiii—O11—O14^ii	92.3 (2)
O10^vii—Lu3—O6^vi	96.2 (3)	O10^xiii—O11—B5^xiii	31.1 (4)
O10^vii—Lu3—O12	78.8 (2)	O10^xiii—O11—O7^xi	84.4 (3)
O11^vii—Lu3—O14	76.54 (19)	O14^ii—O11—B5^xiii	78.1 (4)
O11^vii—Lu3—B1	152.48 (15)	O14^ii—O11—O7^xi	172.9 (3)
O11^vii—Lu3—B2	84.88 (18)	B5^xiii—O11—O7^xi	95.9 (5)
O11^vii—Lu3—B3	101.8 (2)	Lu2—O13—Ba1^iii	101.36 (17)
O11^vii—Lu3—B3^vi	82.01 (18)	Lu2—O13—Ba3^vii	115.0 (2)
O11^vii—Lu3—B5^vii	90.3 (2)	Lu2—O13—O1^iii	145.53 (19)
O11^vii—Lu3—B5^vi	18.7 (2)	Lu2—O13—O2	99.4 (2)
O11^vii—Lu3—O6	143.7 (3)	Lu2—O13—O5^iv	43.63 (13)
O11^vii—Lu3—O6^vi	170.1 (3)	Lu2—O13—O9	49.02 (13)
O11^vii—Lu3—O12	153.7 (2)	Lu2—O13—O9^iii	142.0 (3)
O14—Lu3—B1	130.68 (15)	Lu2—O13—O14	39.79 (11)
O14—Lu3—B2	77.58 (17)	Lu2—O13—O15	47.58 (12)
O14—Lu3—B3	26.52 (19)	Lu2—O13—B2	121.7 (4)
O14—Lu3—B3^vi	83.62 (18)	Lu2—O13—B2^iii	74.5 (2)
O14—Lu3—B5^vii	166.61 (19)	Ba1^iii—O13—Ba3^vii	116.38 (17)
O14—Lu3—B5^vi	58.5 (2)	Ba1^iii—O13—O1^iii	51.43 (11)
O14—Lu3—O6	125.1 (3)	Ba1^iii—O13—O2	142.8 (2)
O14—Lu3—O6^vi	110.9 (3)	Ba1^iii—O13—O5^iv	109.92 (17)
O14—Lu3—O12	118.3 (2)	Ba1^iii—O13—O9	89.46 (17)
B1—Lu3—B2	103.30 (14)	Ba1^iii—O13—O9^iii	85.00 (17)
B1—Lu3—B3	104.69 (17)	Ba1^iii—O13—O14	139.9 (2)
B1—Lu3—B3^vi	95.76 (15)	Ba1^iii—O13—O15	56.08 (12)
B1—Lu3—B5^vii	62.63 (16)	Ba1^iii—O13—B2	114.7 (4)
B1—Lu3—B5^vi	167.64 (14)	Ba1^iii—O13—B2^iii	74.78 (18)
B1—Lu3—O6	22.5 (2)	Ba3^vii—O13—O1^iii	71.04 (14)
B1—Lu3—O6^vi	19.9 (3)	Ba3^vii—O13—O2	81.3 (2)
B1—Lu3—O12	25.99 (16)	Ba3^vii—O13—O5^iv	73.50 (16)
B2—Lu3—B3	87.6 (2)	Ba3^vii—O13—O9	153.38 (18)
B2—Lu3—B3^vi	159.14 (17)	Ba3^vii—O13—O9^iii	94.3 (2)
B2—Lu3—B5^vii	98.97 (18)	Ba3^vii—O13—O14	95.01 (16)
B2—Lu3—B5^vi	86.27 (17)	Ba3^vii—O13—O15	120.3 (2)
B2—Lu3—O6	125.4 (2)	Ba3^vii—O13—B2	88.6 (4)
B2—Lu3—O6^vi	102.9 (3)	Ba3^vii—O13—B2^iii	161.5 (2)
B2—Lu3—O12	78.13 (19)	O1^iii—O13—O2	115.1 (2)
B3—Lu3—B3^vi	79.3 (2)	O1^iii—O13—O5^iv	118.9 (2)
B3—Lu3—B5^vii	166.7 (2)	O1^iii—O13—O9	135.1 (2)
B3—Lu3—B5^vi	83.2 (2)	O1^iii—O13—O9^iii	64.89 (16)
B3—Lu3—O6	99.3 (3)	O1^iii—O13—O14	166.0 (2)
B3—Lu3—O6^vi	84.8 (3)	O1^iii—O13—O15	98.94 (16)
B3—Lu3—O12	97.3 (2)	O1^iii—O13—B2	91.5 (4)
B3^vi—Lu3—B5^vii	97.3 (2)	O1^iii—O13—B2^iii	110.8 (2)
B3^vi—Lu3—B5^vi	76.16 (18)	O2—O13—O5^iv	106.5 (2)
B3^vi—Lu3—O6	73.3 (2)	O2—O13—O9	81.3 (2)
B3^vi—Lu3—O6^vi	92.1 (3)	O2—O13—O9^iii	60.09 (18)
B3^vi—Lu3—O12	119.4 (2)	O2—O13—O14	61.80 (17)
B5^vii—Lu3—B5^vi	108.6 (2)	O2—O13—O15	144.8 (2)
B5^vii—Lu3—O6	67.5 (3)	O2—O13—B2	29.2 (3)
B5^vii—Lu3—O6^vi	82.5 (3)	O2—O13—B2^iii	81.5 (2)
B5^vii—Lu3—O12	73.0 (2)	O5^iv—O13—O9	92.47 (18)
B5^vi—Lu3—O6	148.2 (3)	O5^iv—O13—O9^iii	163.7 (2)
B5^vi—Lu3—O6^vi	164.6 (3)	O5^iv—O13—O14	53.64 (14)
B5^vi—Lu3—O12	164.34 (19)	O5^iv—O13—O15	60.59 (16)
O6—Lu3—O6^vi	26.5 (3)	O5^iv—O13—B2	135.3 (4)
O6—Lu3—O12	47.3 (3)	O5^iv—O13—B2^iii	118.1 (2)
O6^vi—Lu3—O12	28.4 (3)	O9—O13—O9^iii	94.2 (2)
O1—Ba1—O2	127.03 (14)	O9—O13—O14	58.91 (15)
O1—Ba1—O5	78.58 (15)	O9—O13—O15	67.74 (17)
O1—Ba1—O8	79.64 (15)	O9—O13—B2	85.9 (4)
O1—Ba1—O13^iii	75.91 (14)	O9—O13—B2^iii	26.55 (16)
O1—Ba1—O15^viii	48.29 (14)	O9^iii—O13—O14	118.6 (2)
O1—Ba1—O15^iii	126.57 (15)	O9^iii—O13—O15	135.7 (3)
O1—Ba1—B3	68.53 (19)	O9^iii—O13—B2	31.0 (3)
O1—Ba1—B4^v	23.81 (16)	O9^iii—O13—B2^iii	71.2 (2)
O1—Ba1—O6^vi	126.7 (2)	O14—O13—O15	87.26 (16)
O1—Ba1—O12	156.0 (2)	O14—O13—B2	88.9 (3)
O2—Ba1—O5	138.10 (15)	O14—O13—B2^iii	82.6 (2)
O2—Ba1—O8	79.54 (14)	O15—O13—B2	151.1 (5)
O2—Ba1—O13^iii	77.11 (15)	O15—O13—B2^iii	78.0 (2)
O2—Ba1—O15^viii	156.26 (12)	B2—O13—B2^iii	73.1 (4)
O2—Ba1—O15^iii	80.59 (15)	Lu2—O14—Lu3	117.9 (2)
O2—Ba1—B3	72.80 (18)	Lu2—O14—O2	82.22 (16)
O2—Ba1—B4^v	144.28 (15)	Lu2—O14—O3	98.4 (2)
O2—Ba1—O6^vi	64.8 (2)	Lu2—O14—O4^iv	45.27 (12)
O2—Ba1—O12	65.2 (2)	Lu2—O14—O5^iv	47.09 (13)
O5—Ba1—O8	73.11 (15)	Lu2—O14—O8	144.2 (3)
O5—Ba1—O13^iii	144.78 (17)	Lu2—O14—O9	46.83 (13)
O5—Ba1—O15^viii	65.50 (14)	Lu2—O14—O11^vii	86.63 (18)
O5—Ba1—O15^iii	112.19 (15)	Lu2—O14—O13	41.14 (11)
O5—Ba1—B3	92.24 (17)	Lu2—O14—B3	122.9 (5)
O5—Ba1—B4^v	72.71 (16)	Lu2—O14—B5^vi	73.6 (2)
O5—Ba1—O6^vi	73.3 (2)	Lu3—O14—O2	46.69 (13)
O5—Ba1—O12	80.4 (2)	Lu3—O14—O3	131.6 (2)
O8—Ba1—O13^iii	124.56 (13)	Lu3—O14—O4^iv	157.6 (2)
O8—Ba1—O15^viii	117.29 (14)	Lu3—O14—O5^iv	97.4 (2)
O8—Ba1—O15^iii	153.55 (16)	Lu3—O14—O8	71.03 (19)
O8—Ba1—B3	24.15 (15)	Lu3—O14—O9	115.9 (2)
O8—Ba1—B4^v	99.84 (16)	Lu3—O14—O11^vii	50.24 (14)
O8—Ba1—O6^vi	49.3 (2)	Lu3—O14—O13	78.22 (15)
O8—Ba1—O12	83.3 (2)	Lu3—O14—B3	103.7 (4)
O13^iii—Ba1—O15^viii	79.39 (14)	Lu3—O14—B5^vi	77.9 (2)
O13^iii—Ba1—O15^iii	66.82 (13)	O2—O14—O3	116.5 (3)
O13^iii—Ba1—B3	100.48 (16)	O2—O14—O4^iv	126.28 (18)
O13^iii—Ba1—B4^v	74.13 (16)	O2—O14—O5^iv	94.92 (19)
O13^iii—Ba1—O6^vi	141.9 (2)	O2—O14—O8	82.1 (2)
O13^iii—Ba1—O12	128.0 (2)	O2—O14—O9	69.59 (16)
O15^viii—Ba1—O15^iii	87.18 (15)	O2—O14—O11^vii	71.78 (18)
O15^viii—Ba1—B3	115.16 (18)	O2—O14—O13	42.83 (13)
O15^viii—Ba1—B4^v	24.68 (16)	O2—O14—B3	102.8 (4)
O15^viii—Ba1—O6^vi	138.6 (2)	O2—O14—B5^vi	94.8 (2)
O15^viii—Ba1—O12	130.0 (2)	O3—O14—O4^iv	70.5 (2)
O15^iii—Ba1—B3	152.65 (18)	O3—O14—O5^iv	130.9 (3)
O15^iii—Ba1—B4^v	106.49 (17)	O3—O14—O8	61.1 (2)
O15^iii—Ba1—O6^vi	105.9 (2)	O3—O14—O9	66.67 (19)
O15^iii—Ba1—O12	72.5 (2)	O3—O14—O11^vii	170.7 (3)
B3—Ba1—B4^v	92.0 (2)	O3—O14—O13	122.0 (2)
B3—Ba1—O6^vi	68.4 (2)	O3—O14—B3	28.4 (4)
B3—Ba1—O12	101.1 (3)	O3—O14—B5^vi	146.7 (3)
B4^v—Ba1—O6^vi	139.7 (2)	O4^iv—O14—O5^iv	60.40 (17)
B4^v—Ba1—O12	150.5 (2)	O4^iv—O14—O8	131.4 (3)
O6^vi—Ba1—O12	34.0 (3)	O4^iv—O14—O9	65.94 (16)
O1—Ba2—O2^ii	102.66 (12)	O4^iv—O14—O11^vii	108.6 (2)
O1—Ba2—O3	60.80 (14)	O4^iv—O14—O13	86.39 (15)
O1—Ba2—O4	72.18 (13)	O4^iv—O14—B3	98.7 (4)
O1—Ba2—O5	67.43 (12)	O4^iv—O14—B5^vi	82.1 (2)
O1—Ba2—O8	72.85 (14)	O5^iv—O14—O8	166.6 (3)
O1—Ba2—O9^i	58.19 (12)	O5^iv—O14—O9	93.71 (17)
O1—Ba2—O10	130.65 (13)	O5^iv—O14—O11^vii	48.76 (16)
O1—Ba2—O11^ix	134.33 (15)	O5^iv—O14—O13	59.06 (15)
O1—Ba2—B3	65.65 (17)	O5^iv—O14—B3	158.4 (5)
O1—Ba2—B5	140.86 (17)	O5^iv—O14—B5^vi	27.09 (18)
O1—Ba2—O7^ii	146.9 (2)	O8—O14—O9	97.4 (2)
O1—Ba2—O12^ii	138.6 (2)	O8—O14—O11^vii	118.3 (3)
O2^ii—Ba2—O3	79.85 (14)	O8—O14—O13	122.6 (2)
O2^ii—Ba2—O4	110.77 (15)	O8—O14—B3	32.7 (4)
O2^ii—Ba2—O5	168.15 (13)	O8—O14—B5^vi	139.8 (3)
O2^ii—Ba2—O8	122.19 (14)	O9—O14—O11^vii	121.86 (19)
O2^ii—Ba2—O9^i	44.47 (11)	O9—O14—O13	55.32 (15)
O2^ii—Ba2—O10	58.63 (14)	O9—O14—B3	81.2 (4)
O2^ii—Ba2—O11^ix	105.27 (13)	O9—O14—B5^vi	119.1 (2)
O2^ii—Ba2—B3	100.43 (16)	O11^vii—O14—O13	66.73 (16)
O2^ii—Ba2—B5	81.29 (17)	O11^vii—O14—B3	149.6 (5)
O2^ii—Ba2—O7^ii	88.9 (2)	O11^vii—O14—B5^vi	28.10 (19)
O2^ii—Ba2—O12^ii	63.0 (2)	O13—O14—B3	129.8 (4)
O3—Ba2—O4	132.96 (13)	O13—O14—B5^vi	73.2 (2)
O3—Ba2—O5	99.74 (13)	B3—O14—B5^vi	157.1 (5)
O3—Ba2—O8	46.78 (13)	Lu2—O15—Ba1^iv	94.51 (17)
O3—Ba2—O9^i	59.94 (13)	Lu2—O15—Ba1^iii	102.94 (18)
O3—Ba2—O10	70.62 (13)	Lu2—O15—O1^iv	108.8 (2)
O3—Ba2—O11^ix	89.55 (14)	Lu2—O15—O4^iv	46.80 (12)
O3—Ba2—B3	23.04 (17)	Lu2—O15—O4^i	116.1 (2)
O3—Ba2—B5	82.21 (16)	Lu2—O15—O5^iv	44.33 (13)
O3—Ba2—O7^ii	152.3 (2)	Lu2—O15—O9	43.05 (12)
O3—Ba2—O12^ii	140.1 (2)	Lu2—O15—O13	48.22 (12)
O4—Ba2—O5	60.86 (15)	Lu2—O15—B4^i	114.8 (4)
O4—Ba2—O8	121.09 (14)	Lu2—O15—O12^iii	130.5 (3)
O4—Ba2—O9^i	94.93 (13)	Ba1^iv—O15—Ba1^iii	92.82 (15)
O4—Ba2—O10	154.71 (13)	Ba1^iv—O15—O1^iv	58.49 (17)
O4—Ba2—O11^ix	127.43 (13)	Ba1^iv—O15—O4^iv	102.39 (18)
O4—Ba2—B3	131.82 (16)	Ba1^iv—O15—O4^i	117.2 (2)
O4—Ba2—B5	143.41 (15)	Ba1^iv—O15—O5^iv	51.78 (13)
O4—Ba2—O7^ii	74.7 (2)	Ba1^iv—O15—O9	133.97 (18)
O4—Ba2—O12^ii	77.4 (2)	Ba1^iv—O15—O13	82.88 (17)
O5—Ba2—O8	62.45 (13)	Ba1^iv—O15—B4^i	89.4 (4)
O5—Ba2—O9^i	125.20 (11)	Ba1^iv—O15—O12^iii	125.7 (2)
O5—Ba2—O10	132.58 (14)	Ba1^iii—O15—O1^iv	138.0 (2)
O5—Ba2—O11^ix	86.55 (13)	Ba1^iii—O15—O4^iv	146.5 (2)
O5—Ba2—B3	81.71 (16)	Ba1^iii—O15—O4^i	126.7 (2)
O5—Ba2—B5	110.45 (17)	Ba1^iii—O15—O5^iv	111.96 (19)
O5—Ba2—O7^ii	96.3 (2)	Ba1^iii—O15—O9	83.50 (15)
O5—Ba2—O12^ii	119.7 (2)	Ba1^iii—O15—O13	57.10 (13)
O8—Ba2—O9^i	104.79 (12)	Ba1^iii—O15—B4^i	141.9 (4)
O8—Ba2—O10	80.72 (13)	Ba1^iii—O15—O12^iii	53.6 (2)
O8—Ba2—O11^ix	61.76 (13)	O1^iv—O15—O4^iv	74.28 (18)
O8—Ba2—B3	23.78 (16)	O1^iv—O15—O4^i	60.0 (2)
O8—Ba2—B5	72.43 (16)	O1^iv—O15—O5^iv	75.7 (2)
O8—Ba2—O7^ii	126.5 (2)	O1^iv—O15—O9	138.4 (2)
O8—Ba2—O12^ii	148.4 (2)	O1^iv—O15—O13	135.2 (3)
O9^i—Ba2—O10	90.95 (12)	O1^iv—O15—B4^i	31.3 (4)
O9^i—Ba2—O11^ix	137.14 (13)	O1^iv—O15—O12^iii	116.3 (3)
O9^i—Ba2—B3	82.23 (16)	O4^iv—O15—O4^i	71.83 (18)
O9^i—Ba2—B5	115.30 (15)	O4^iv—O15—O5^iv	59.76 (16)
O9^i—Ba2—O7^ii	125.7 (2)	O4^iv—O15—O9	64.40 (15)
O9^i—Ba2—O12^ii	98.1 (2)	O4^iv—O15—O13	95.02 (17)
O10—Ba2—O11^ix	48.36 (13)	O4^iv—O15—B4^i	68.8 (3)
O10—Ba2—B3	73.34 (16)	O4^iv—O15—O12^iii	129.6 (3)
O10—Ba2—B5	24.56 (16)	O4^i—O15—O5^iv	121.2 (2)
O10—Ba2—O7^ii	81.8 (2)	O4^i—O15—O9	100.8 (2)
O10—Ba2—O12^ii	77.4 (2)	O4^i—O15—O13	157.5 (3)
O11^ix—Ba2—B3	74.22 (17)	O4^i—O15—B4^i	28.8 (4)
O11^ix—Ba2—B5	24.17 (16)	O4^i—O15—O12^iii	73.3 (2)
O11^ix—Ba2—O7^ii	68.9 (2)	O5^iv—O15—O9	87.22 (16)
O11^ix—Ba2—O12^ii	86.7 (2)	O5^iv—O15—O13	61.91 (17)
B3—Ba2—B5	75.30 (18)	O5^iv—O15—B4^i	99.1 (4)
B3—Ba2—O7^ii	143.2 (3)	O5^iv—O15—O12^iii	165.3 (3)
B3—Ba2—O12^ii	150.8 (3)	O9—O15—O13	56.75 (15)
B5—Ba2—O7^ii	71.0 (3)	O9—O15—B4^i	120.7 (4)
B5—Ba2—O12^ii	78.3 (3)	O9—O15—O12^iii	88.1 (2)
O7^ii—Ba2—O12^ii	27.7 (3)	O13—O15—B4^i	160.2 (4)
O3—Ba3—O4^iv	68.80 (13)	O13—O15—O12^iii	104.1 (2)
O3—Ba3—O10	76.46 (13)	B4^i—O15—O12^iii	95.3 (4)
O3—Ba3—O11	134.56 (14)	Lu3—B1—Lu3^vi	64.5 (2)
O3—Ba3—O13^ii	89.50 (15)	Lu3—B1—Ba3^xii	133.30 (6)
O3—Ba3—B1^x	146.62 (17)	Lu3—B1—Ba3^xiv	120.82 (5)
O3—Ba3—B2^ii	69.42 (17)	Lu3—B1—B5^vii	58.33 (17)
O3—Ba3—B3	21.7 (2)	Lu3—B1—B5^ix	106.5 (3)
O3—Ba3—B4^iv	74.44 (16)	Lu3—B1—O6	43.6 (4)
O3—Ba3—O7^x	124.5 (2)	Lu3—B1—O6^vi	34.5 (5)
O3—Ba3—O7^xi	130.9 (2)	Lu3—B1—O7	116.7 (4)
O3—Ba3—O12^x	139.6 (2)	Lu3—B1—O7^vi	162.5 (5)
O4^iv—Ba3—O10	142.87 (13)	Lu3—B1—O12	78.7 (5)
O4^iv—Ba3—O11	154.90 (13)	Lu3—B1—O12^vi	111.3 (6)
O4^iv—Ba3—O13^ii	97.85 (13)	Lu3^vi—B1—Ba3^xii	120.82 (5)
O4^iv—Ba3—B1^x	92.34 (10)	Lu3^vi—B1—Ba3^xiv	133.30 (6)
O4^iv—Ba3—B2^ii	103.60 (16)	Lu3^vi—B1—B5^vii	106.5 (3)
O4^iv—Ba3—B3	67.54 (15)	Lu3^vi—B1—B5^ix	58.33 (17)
O4^iv—Ba3—B4^iv	24.94 (17)	Lu3^vi—B1—O6	34.5 (5)
O4^iv—Ba3—O7^x	72.9 (2)	Lu3^vi—B1—O6^vi	43.6 (4)
O4^iv—Ba3—O7^xi	103.6 (2)	Lu3^vi—B1—O7	162.5 (5)
O4^iv—Ba3—O12^x	72.2 (2)	Lu3^vi—B1—O7^vi	116.7 (4)
O10—Ba3—O11	62.21 (13)	Lu3^vi—B1—O12	111.3 (6)
O10—Ba3—O13^ii	94.48 (14)	Lu3^vi—B1—O12^vi	78.7 (5)
O10—Ba3—B1^x	110.74 (11)	Ba3^xii—B1—Ba3^xiv	89.8 (3)
O10—Ba3—B2^ii	75.02 (16)	Ba3^xii—B1—B5^vii	131.4 (3)
O10—Ba3—B3	75.34 (16)	Ba3^xii—B1—B5^ix	62.64 (15)
O10—Ba3—B4^iv	148.47 (17)	Ba3^xii—B1—O6	154.4 (5)
O10—Ba3—O7^x	119.9 (2)	Ba3^xii—B1—O6^vi	113.2 (4)
O10—Ba3—O7^xi	89.1 (2)	Ba3^xii—B1—O7	44.3 (5)
O10—Ba3—O12^x	136.7 (2)	Ba3^xii—B1—O7^vi	62.6 (5)
O11—Ba3—O13^ii	76.43 (15)	Ba3^xii—B1—O12	55.6 (5)
O11—Ba3—B1^x	71.04 (13)	Ba3^xii—B1—O12^vi	115.2 (6)
O11—Ba3—B2^ii	81.83 (17)	Ba3^xiv—B1—B5^vii	62.64 (15)
O11—Ba3—B3	137.46 (16)	Ba3^xiv—B1—B5^ix	131.4 (3)
O11—Ba3—B4^iv	137.56 (17)	Ba3^xiv—B1—O6	113.2 (4)
O11—Ba3—O7^x	93.6 (2)	Ba3^xiv—B1—O6^vi	154.4 (5)
O11—Ba3—O7^xi	69.2 (2)	Ba3^xiv—B1—O7	62.6 (5)
O11—Ba3—O12^x	85.7 (2)	Ba3^xiv—B1—O7^vi	44.3 (5)
O13^ii—Ba3—B1^x	121.17 (16)	Ba3^xiv—B1—O12	115.2 (6)
O13^ii—Ba3—B2^ii	25.39 (15)	Ba3^xiv—B1—O12^vi	55.6 (5)
O13^ii—Ba3—B3	111.21 (18)	B5^vii—B1—B5^ix	163.6 (4)
O13^ii—Ba3—B4^iv	73.48 (17)	B5^vii—B1—O6	72.0 (5)
O13^ii—Ba3—O7^x	134.8 (2)	B5^vii—B1—O6^vi	92.7 (5)
O13^ii—Ba3—O7^xi	138.9 (2)	B5^vii—B1—O7	87.2 (5)
O13^ii—Ba3—O12^x	106.1 (2)	B5^vii—B1—O7^vi	106.6 (5)
B1^x—Ba3—B2^ii	143.68 (18)	B5^vii—B1—O12	98.9 (4)
B1^x—Ba3—B3	126.0 (2)	B5^vii—B1—O12^vi	82.7 (4)
B1^x—Ba3—B4^iv	100.26 (14)	B5^ix—B1—O6	92.7 (5)
B1^x—Ba3—O7^x	23.1 (2)	B5^ix—B1—O6^vi	72.0 (5)
B1^x—Ba3—O7^xi	25.2 (2)	B5^ix—B1—O7	106.6 (5)
B1^x—Ba3—O12^x	26.5 (2)	B5^ix—B1—O7^vi	87.2 (5)
B2^ii—Ba3—B3	90.3 (2)	B5^ix—B1—O12	82.7 (4)
B2^ii—Ba3—B4^iv	83.57 (19)	B5^ix—B1—O12^vi	98.9 (4)
B2^ii—Ba3—O7^x	160.2 (3)	O6—B1—O6^vi	47.5 (7)
B2^ii—Ba3—O7^xi	151.0 (2)	O6—B1—O7	157.0 (6)
B2^ii—Ba3—O12^x	131.5 (3)	O6—B1—O7^vi	126.7 (5)
B3—Ba3—B4^iv	82.00 (18)	O6—B1—O12	118.1 (8)
B3—Ba3—O7^x	105.7 (3)	O6—B1—O12^vi	73.1 (6)
B3—Ba3—O7^xi	109.3 (2)	O6^vi—B1—O7	126.7 (5)
B3—Ba3—O12^x	127.7 (3)	O6^vi—B1—O7^vi	157.0 (6)
B4^iv—Ba3—O7^x	87.0 (2)	O6^vi—B1—O12	73.1 (6)
B4^iv—Ba3—O7^xi	119.3 (2)	O6^vi—B1—O12^vi	118.1 (8)
B4^iv—Ba3—O12^x	74.8 (2)	O7—B1—O7^vi	67.9 (7)
O7^x—Ba3—O7^xi	32.3 (3)	O7—B1—O12	54.4 (6)
O7^x—Ba3—O12^x	28.7 (3)	O7—B1—O12^vi	114.7 (8)
O7^xi—Ba3—O12^x	50.6 (3)	O7^vi—B1—O12	114.7 (8)
Lu1—O1—Ba1	112.3 (2)	O7^vi—B1—O12^vi	54.4 (6)
Lu1—O1—Ba2	96.72 (15)	O12—B1—O12^vi	168.7 (10)
Lu1—O1—O3	48.70 (13)	Lu1^vii—B2—Lu2	139.0 (2)
Lu1—O1—O3^i	41.54 (12)	Lu1^vii—B2—Lu2^iii	69.72 (14)
Lu1—O1—O4	136.2 (2)	Lu1^vii—B2—Lu3	131.1 (3)
Lu1—O1—O4^v	103.1 (2)	Lu1^vii—B2—Ba3^vii	76.36 (18)
Lu1—O1—O9	44.02 (12)	Lu1^vii—B2—O2	123.8 (4)
Lu1—O1—O9^i	46.78 (12)	Lu1^vii—B2—O3^vii	38.78 (12)
Lu1—O1—O13^iii	83.67 (15)	Lu1^vii—B2—O9	138.5 (2)
Lu1—O1—O15^viii	151.9 (2)	Lu1^vii—B2—O9^iii	34.0 (3)
Lu1—O1—B4^v	130.0 (4)	Lu1^vii—B2—O13	102.7 (4)
Ba1—O1—Ba2	98.86 (15)	Lu1^vii—B2—O13^iii	108.2 (2)
Ba1—O1—O3	86.93 (18)	Lu1^vii—B2—B2^iii	115.0 (3)
Ba1—O1—O3^i	123.50 (17)	Lu2—B2—Lu2^iii	125.1 (3)
Ba1—O1—O4	103.53 (16)	Lu2—B2—Lu3	72.35 (14)
Ba1—O1—O4^v	132.2 (2)	Lu2—B2—Ba3^vii	86.43 (19)
Ba1—O1—O9	72.13 (15)	Lu2—B2—O2	92.6 (4)
Ba1—O1—O9^i	150.2 (2)	Lu2—B2—O3^vii	132.9 (3)
Ba1—O1—O13^iii	52.65 (12)	Lu2—B2—O9	42.03 (13)
Ba1—O1—O15^viii	73.22 (18)	Lu2—B2—O9^iii	142.2 (4)
Ba1—O1—B4^v	104.1 (4)	Lu2—B2—O13	36.8 (3)
Ba2—O1—O3	59.49 (12)	Lu2—B2—O13^iii	86.4 (2)
Ba2—O1—O3^i	127.14 (17)	Lu2—B2—B2^iii	64.4 (2)
Ba2—O1—O4	52.23 (11)	Lu2^iii—B2—Lu3	130.4 (2)
Ba2—O1—O4^v	108.0 (2)	Lu2^iii—B2—Ba3^vii	145.1 (2)
Ba2—O1—O9	120.68 (19)	Lu2^iii—B2—O2	101.9 (4)
Ba2—O1—O9^i	68.49 (12)	Lu2^iii—B2—O3^vii	99.0 (2)
Ba2—O1—O13^iii	147.8 (2)	Lu2^iii—B2—O9	84.3 (2)
Ba2—O1—O15^viii	109.93 (18)	Lu2^iii—B2—O9^iii	35.8 (3)
Ba2—O1—B4^v	110.6 (3)	Lu2^iii—B2—O13	129.1 (5)
O3—O1—O3^i	90.24 (17)	Lu2^iii—B2—O13^iii	40.98 (13)
O3—O1—O4	111.71 (17)	Lu2^iii—B2—B2^iii	60.7 (2)
O3—O1—O4^v	140.8 (2)	Lu3—B2—Ba3^vii	68.77 (15)
O3—O1—O9	61.51 (15)	Lu3—B2—O2	28.9 (3)
O3—O1—O9^i	63.29 (17)	Lu3—B2—O3^vii	92.7 (2)
O3—O1—O13^iii	99.98 (19)	Lu3—B2—O9	90.35 (19)
O3—O1—O15^viii	156.2 (3)	Lu3—B2—O9^iii	144.8 (4)
O3—O1—B4^v	166.7 (4)	Lu3—B2—O13	93.5 (4)
O3^i—O1—O4	129.3 (2)	Lu3—B2—O13^iii	110.6 (2)
O3^i—O1—O4^v	67.57 (18)	Lu3—B2—B2^iii	113.0 (3)
O3^i—O1—O9	57.58 (14)	Ba3^vii—B2—O2	89.9 (5)
O3^i—O1—O9^i	59.02 (14)	Ba3^vii—B2—O3^vii	47.03 (15)
O3^i—O1—O13^iii	72.55 (14)	Ba3^vii—B2—O9	128.5 (2)
O3^i—O1—O15^viii	111.5 (2)	Ba3^vii—B2—O9^iii	110.3 (5)
O3^i—O1—B4^v	89.8 (4)	Ba3^vii—B2—O13	66.0 (4)
O4—O1—O4^v	67.04 (18)	Ba3^vii—B2—O13^iii	172.6 (3)
O4—O1—O9	171.7 (2)	Ba3^vii—B2—B2^iii	146.8 (3)
O4—O1—O9^i	90.01 (17)	O2—B2—O3^vii	93.9 (4)
O4—O1—O13^iii	139.66 (18)	O2—B2—O9	92.1 (4)
O4—O1—O15^viii	62.31 (17)	O2—B2—O9^iii	120.0 (6)
O4—O1—B4^v	58.9 (3)	O2—B2—O13	120.9 (6)
O4^v—O1—O9	121.2 (2)	O2—B2—O13^iii	92.2 (5)
O4^v—O1—O9^i	77.5 (2)	O2—B2—B2^iii	106.0 (5)
O4^v—O1—O13^iii	103.2 (2)	O3^vii—B2—O9	172.4 (3)
O4^v—O1—O15^viii	60.8 (2)	O3^vii—B2—O9^iii	67.9 (4)
O4^v—O1—B4^v	29.5 (4)	O3^vii—B2—O13	103.7 (5)
O9—O1—O9^i	90.80 (16)	O3^vii—B2—O13^iii	139.8 (3)
O9—O1—O13^iii	43.08 (13)	O3^vii—B2—B2^iii	153.7 (3)
O9—O1—O15^viii	121.6 (2)	O9—B2—O9^iii	112.8 (5)
O9—O1—B4^v	128.7 (3)	O9—B2—O13	69.1 (4)
O9^i—O1—O13^iii	127.38 (17)	O9—B2—O13^iii	44.38 (17)
O9^i—O1—O15^viii	136.0 (3)	O9—B2—B2^iii	25.70 (17)
O9^i—O1—B4^v	105.6 (4)	O9^iii—B2—O13	118.9 (5)
O13^iii—O1—O15^viii	78.55 (18)	O9^iii—B2—O13^iii	74.7 (4)
O13^iii—O1—B4^v	92.8 (3)	O9^iii—B2—B2^iii	87.1 (4)
O15^viii—O1—B4^v	31.4 (4)	O13—B2—O13^iii	106.9 (5)
Lu3—O2—Ba1	96.38 (16)	O13—B2—B2^iii	80.9 (4)
Lu3—O2—Ba2^vii	102.11 (17)	O13^iii—B2—B2^iii	26.05 (18)
Lu3—O2—O9^iii	158.8 (3)	Lu1—B3—Lu2	72.63 (16)
Lu3—O2—O10^vii	48.69 (13)	Lu1—B3—Lu3	137.0 (2)
Lu3—O2—O13	105.7 (2)	Lu1—B3—Lu3^vi	140.0 (3)
Lu3—O2—O14	48.44 (13)	Lu1—B3—Ba1	77.53 (19)
Lu3—O2—B2	134.3 (5)	Lu1—B3—Ba2	70.67 (19)
Lu3—O2—O6^vi	46.8 (2)	Lu1—B3—Ba3	74.87 (18)
Lu3—O2—O12	76.3 (2)	Lu1—B3—O3	33.9 (3)
Ba1—O2—Ba2^vii	100.60 (16)	Lu1—B3—O8	122.2 (5)
Ba1—O2—O9^iii	104.7 (2)	Lu1—B3—O9	40.26 (13)
Ba1—O2—O10^vii	127.22 (18)	Lu1—B3—O14	108.5 (4)
Ba1—O2—O13	122.3 (2)	Lu2—B3—Lu3	78.7 (2)
Ba1—O2—O14	81.65 (16)	Lu2—B3—Lu3^vi	143.6 (3)
Ba1—O2—B2	115.9 (5)	Lu2—B3—Ba1	94.39 (19)
Ba1—O2—O6^vi	60.6 (2)	Lu2—B3—Ba2	143.3 (3)
Ba1—O2—O12	56.5 (2)	Lu2—B3—Ba3	89.78 (19)
Ba2^vii—O2—O9^iii	76.95 (17)	Lu2—B3—O3	92.0 (4)
Ba2^vii—O2—O10^vii	61.52 (14)	Lu2—B3—O8	139.0 (5)
Ba2^vii—O2—O13	124.6 (2)	Lu2—B3—O9	42.41 (13)
Ba2^vii—O2—O14	150.25 (19)	Lu2—B3—O14	35.9 (3)
Ba2^vii—O2—B2	102.6 (4)	Lu3—B3—Lu3^vi	65.50 (16)
Ba2^vii—O2—O6^vi	80.2 (2)	Lu3—B3—Ba1	73.36 (17)
Ba2^vii—O2—O12	55.0 (2)	Lu3—B3—Ba2	131.0 (2)
O9^iii—O2—O10^vii	116.6 (2)	Lu3—B3—Ba3	137.0 (3)
O9^iii—O2—O13	60.56 (18)	Lu3—B3—O3	169.8 (5)
O9^iii—O2—O14	131.6 (2)	Lu3—B3—O8	65.2 (4)
O9^iii—O2—B2	30.8 (3)	Lu3—B3—O9	97.7 (2)
O9^iii—O2—O6^vi	149.8 (3)	Lu3—B3—O14	49.8 (4)
O9^iii—O2—O12	117.7 (3)	Lu3^vi—B3—Ba1	82.11 (17)
O10^vii—O2—O13	106.6 (3)	Lu3^vi—B3—Ba2	71.72 (15)
O10^vii—O2—O14	93.27 (19)	Lu3^vi—B3—Ba3	111.5 (2)
O10^vii—O2—B2	116.4 (5)	Lu3^vi—B3—O3	124.2 (4)
O10^vii—O2—O6^vi	67.3 (2)	Lu3^vi—B3—O8	24.3 (3)
O10^vii—O2—O12	75.2 (3)	Lu3^vi—B3—O9	145.8 (3)
O13—O2—O14	75.37 (19)	Lu3^vi—B3—O14	109.2 (5)
O13—O2—B2	29.9 (3)	Ba1—B3—Ba2	78.32 (19)
O13—O2—O6^vi	149.4 (3)	Ba1—B3—Ba3	149.4 (3)
O13—O2—O12	177.9 (3)	Ba1—B3—O3	103.4 (5)
O14—O2—B2	102.9 (4)	Ba1—B3—O8	58.1 (3)
O14—O2—O6^vi	75.2 (2)	Ba1—B3—O9	64.17 (16)
O14—O2—O12	105.8 (2)	Ba1—B3—O14	101.8 (4)
B2—O2—O6^vi	176.1 (5)	Ba2—B3—Ba3	80.33 (18)
B2—O2—O12	148.3 (5)	Ba2—B3—O3	56.0 (4)
O6^vi—O2—O12	32.2 (3)	Ba2—B3—O8	65.9 (4)
Lu1—O3—Ba2	96.69 (18)	Ba2—B3—O9	104.8 (3)
Lu1—O3—Ba3	111.4 (2)	Ba2—B3—O14	179.1 (5)
Lu1—O3—O1	48.43 (13)	Ba3—B3—O3	46.1 (3)
Lu1—O3—O1^i	41.33 (12)	Ba3—B3—O8	129.8 (4)
Lu1—O3—O4^iv	79.90 (15)	Ba3—B3—O9	101.0 (2)
Lu1—O3—O8	126.4 (2)	Ba3—B3—O14	99.2 (4)
Lu1—O3—O9	45.24 (12)	O3—B3—O8	121.8 (7)
Lu1—O3—O9^i	45.32 (12)	O3—B3—O9	72.3 (4)
Lu1—O3—O10	132.9 (2)	O3—B3—O14	123.1 (6)
Lu1—O3—O14	113.9 (2)	O8—B3—O9	122.2 (5)
Lu1—O3—B2^ii	67.65 (18)	O8—B3—O14	114.9 (7)
Lu1—O3—B3	126.1 (4)	O9—B3—O14	74.5 (4)
Ba2—O3—Ba3	105.23 (14)	Lu1^viii—B4—Lu2^viii	70.57 (15)
Ba2—O3—O1	59.71 (13)	Lu1^viii—B4—Lu2^i	137.9 (3)
Ba2—O3—O1^i	126.9 (2)	Lu1^viii—B4—Ba1^v	76.48 (17)
Ba2—O3—O4^iv	163.6 (2)	Lu1^viii—B4—Ba3^viii	76.35 (15)
Ba2—O3—O8	71.77 (17)	Lu1^viii—B4—O1^v	31.0 (3)
Ba2—O3—O9	123.13 (19)	Lu1^viii—B4—O4	92.6 (4)
Ba2—O3—O9^i	67.45 (14)	Lu1^viii—B4—O4^v	113.7 (2)
Ba2—O3—O10	56.08 (11)	Lu1^viii—B4—O15^i	140.8 (5)
Ba2—O3—O14	129.4 (2)	Lu1^viii—B4—B4^v	113.1 (3)
Ba2—O3—B2^ii	67.20 (16)	Lu2^viii—B4—Lu2^i	121.6 (2)
Ba2—O3—B3	100.9 (4)	Lu2^viii—B4—Ba1^v	143.7 (3)
Ba3—O3—O1	146.2 (2)	Lu2^viii—B4—Ba3^viii	91.27 (18)
Ba3—O3—O1^i	75.74 (14)	Lu2^viii—B4—O1^v	91.7 (4)
Ba3—O3—O4^iv	62.07 (13)	Lu2^viii—B4—O4	33.4 (3)
Ba3—O3—O8	122.2 (2)	Lu2^viii—B4—O4^v	80.3 (2)
Ba3—O3—O9	125.63 (18)	Lu2^viii—B4—O15^i	148.6 (5)
Ba3—O3—O9^i	85.99 (16)	Lu2^viii—B4—B4^v	58.32 (19)
Ba3—O3—O10	54.20 (11)	Lu2^i—B4—Ba1^v	75.05 (17)
Ba3—O3—O14	99.9 (2)	Lu2^i—B4—Ba3^viii	136.6 (2)
Ba3—O3—B2^ii	63.55 (17)	Lu2^i—B4—O1^v	107.5 (4)
Ba3—O3—B3	112.2 (4)	Lu2^i—B4—O4	119.4 (4)
O1—O3—O1^i	89.76 (17)	Lu2^i—B4—O4^v	43.84 (13)
O1—O3—O4^iv	124.43 (18)	Lu2^i—B4—O15^i	41.1 (3)
O1—O3—O8	83.8 (2)	Lu2^i—B4—B4^v	63.24 (18)
O1—O3—O9	63.77 (15)	Ba1^v—B4—Ba3^viii	95.49 (18)
O1—O3—O9^i	60.53 (16)	Ba1^v—B4—O1^v	52.1 (3)
O1—O3—O10	115.22 (19)	Ba1^v—B4—O4	165.2 (4)
O1—O3—O14	112.9 (2)	Ba1^v—B4—O4^v	99.9 (2)
O1—O3—B2^ii	82.7 (2)	Ba1^v—B4—O15^i	66.0 (4)
O1—O3—B3	100.8 (4)	Ba1^v—B4—B4^v	125.9 (3)
O1^i—O3—O4^iv	42.83 (14)	Ba3^viii—B4—O1^v	98.1 (3)
O1^i—O3—O8	152.6 (2)	Ba3^viii—B4—O4	71.9 (3)
O1^i—O3—O9	56.56 (13)	Ba3^viii—B4—O4^v	163.2 (3)
O1^i—O3—O9^i	59.63 (15)	Ba3^viii—B4—O15^i	96.0 (3)
O1^i—O3—O10	122.25 (18)	Ba3^viii—B4—B4^v	138.5 (3)
O1^i—O3—O14	101.4 (2)	O1^v—B4—O4	120.6 (6)
O1^i—O3—B2^ii	66.66 (17)	O1^v—B4—O4^v	96.6 (4)
O1^i—O3—B3	128.5 (4)	O1^v—B4—O15^i	117.3 (6)
O4^iv—O3—O8	123.2 (2)	O1^v—B4—B4^v	109.4 (4)
O4^iv—O3—O9	65.25 (14)	O4—B4—O4^v	93.6 (4)
O4^iv—O3—O9^i	99.93 (18)	O4—B4—O15^i	121.9 (7)
O4^iv—O3—O10	115.03 (18)	O4—B4—B4^v	67.4 (4)
O4^iv—O3—O14	65.68 (19)	O4^v—B4—O15^i	84.3 (3)
O4^iv—O3—B2^ii	96.9 (2)	O4^v—B4—B4^v	26.16 (19)
O4^iv—O3—B3	93.9 (4)	O15^i—B4—B4^v	98.1 (4)
O8—O3—O9	97.1 (2)	Lu2^vi—B5—Lu3^ii	135.0 (3)
O8—O3—O9^i	135.4 (2)	Lu2^vi—B5—Lu3^vi	74.69 (19)
O8—O3—O10	84.32 (18)	Lu2^vi—B5—Ba2	148.2 (3)
O8—O3—O14	57.7 (2)	Lu2^vi—B5—O5^xiii	38.1 (3)
O8—O3—B2^ii	138.1 (2)	Lu2^vi—B5—O10	139.1 (5)
O8—O3—B3	29.3 (4)	Lu2^vi—B5—O11^ix	94.2 (5)
O9—O3—O9^i	90.56 (17)	Lu2^vi—B5—O14^vi	43.13 (16)
O9—O3—O10	178.1 (2)	Lu2^vi—B5—B1^ii	128.5 (2)
O9—O3—O14	68.98 (18)	Lu2^vi—B5—O6^ii	120.7 (3)
O9—O3—B2^ii	111.8 (2)	Lu3^ii—B5—Lu3^vi	149.0 (3)
O9—O3—B3	83.3 (4)	Lu3^ii—B5—Ba2	76.70 (19)
O9^i—O3—O10	87.57 (17)	Lu3^ii—B5—O5^xiii	100.1 (4)
O9^i—O3—O14	158.3 (2)	Lu3^ii—B5—O10	34.3 (3)
O9^i—O3—B2^ii	24.82 (15)	Lu3^ii—B5—O11^ix	129.2 (5)
O9^i—O3—B3	160.9 (5)	Lu3^ii—B5—O14^vi	148.0 (3)
O10—O3—O14	112.9 (2)	Lu3^ii—B5—B1^ii	59.0 (2)
O10—O3—B2^ii	66.35 (17)	Lu3^ii—B5—O6^ii	44.7 (2)
O10—O3—B3	98.4 (4)	Lu3^vi—B5—Ba2	73.61 (15)
O14—O3—B2^ii	161.0 (3)	Lu3^vi—B5—O5^xiii	110.9 (5)
O14—O3—B3	28.5 (4)	Lu3^vi—B5—O10	120.2 (4)
B2^ii—O3—B3	164.1 (4)	Lu3^vi—B5—O11^ix	31.1 (3)
Lu2^viii—O4—Ba2	111.5 (2)	Lu3^vi—B5—O14^vi	43.56 (15)
Lu2^viii—O4—Ba3^viii	119.89 (17)	Lu3^vi—B5—B1^ii	113.5 (3)
Lu2^viii—O4—O1	82.37 (16)	Lu3^vi—B5—O6^ii	136.5 (3)
Lu2^viii—O4—O1^v	100.8 (2)	Ba2—B5—O5^xiii	165.4 (5)
Lu2^viii—O4—O3^viii	76.06 (15)	Ba2—B5—O10	63.2 (4)
Lu2^viii—O4—O4^v	90.11 (16)	Ba2—B5—O11^ix	56.1 (4)
Lu2^viii—O4—O5	45.05 (14)	Ba2—B5—O14^vi	110.4 (2)
Lu2^viii—O4—O14^viii	44.39 (12)	Ba2—B5—B1^ii	64.25 (18)
Lu2^viii—O4—O15^viii	46.94 (12)	Ba2—B5—O6^ii	82.0 (3)
Lu2^viii—O4—O15^i	150.2 (2)	O5^xiii—B5—O10	121.5 (6)
Lu2^viii—O4—B4	126.9 (4)	O5^xiii—B5—O11^ix	120.5 (6)
Lu2^viii—O4—B4^v	73.49 (19)	O5^xiii—B5—O14^vi	80.0 (5)
Lu2^viii—O4—O7^ii	123.5 (3)	O5^xiii—B5—B1^ii	101.7 (4)
Ba2—O4—Ba3^viii	96.13 (13)	O5^xiii—B5—O6^ii	85.7 (4)
Ba2—O4—O1	55.59 (12)	O10—B5—O11^ix	117.9 (6)
Ba2—O4—O1^v	142.3 (2)	O10—B5—O14^vi	119.5 (5)
Ba2—O4—O3^viii	135.78 (18)	O10—B5—B1^ii	83.1 (5)
Ba2—O4—O4^v	90.28 (16)	O10—B5—O6^ii	76.6 (4)
Ba2—O4—O5	67.55 (16)	O11^ix—B5—O14^vi	73.8 (4)
Ba2—O4—O14^viii	110.8 (2)	O11^ix—B5—B1^ii	82.4 (5)
Ba2—O4—O15^viii	95.52 (18)	O11^ix—B5—O6^ii	105.6 (5)
Ba2—O4—O15^i	83.38 (19)	O14^vi—B5—B1^ii	152.7 (3)
Ba2—O4—B4	112.4 (4)	O14^vi—B5—O6^ii	162.6 (3)
Ba2—O4—B4^v	79.8 (2)	B1^ii—B5—O6^ii	23.7 (2)
Ba2—O4—O7^ii	52.13 (19)	Lu3—O6—Lu3^vi	94.6 (3)
Ba3^viii—O4—O1	150.47 (18)	Lu3—O6—Ba1^vi	108.8 (4)
Ba3^viii—O4—O1^v	83.50 (18)	Lu3—O6—O2^vi	130.4 (4)
Ba3^viii—O4—O3^viii	49.13 (11)	Lu3—O6—O5^vi	77.0 (3)
Ba3^viii—O4—O4^v	143.7 (2)	Lu3—O6—O8	57.9 (2)
Ba3^viii—O4—O5	115.98 (17)	Lu3—O6—O8^vi	53.7 (2)
Ba3^viii—O4—O14^viii	76.40 (13)	Lu3—O6—O10^vii	43.77 (18)
Ba3^viii—O4—O15^viii	165.4 (2)	Lu3—O6—O10^ix	121.9 (4)
Ba3^viii—O4—O15^i	81.95 (17)	Lu3—O6—B1	113.8 (5)
Ba3^viii—O4—B4	83.1 (3)	Lu3—O6—B5^vii	67.8 (3)
Ba3^viii—O4—B4^v	166.4 (2)	Lu3—O6—O6^vi	67.1 (7)
Ba3^viii—O4—O7^ii	44.83 (18)	Lu3—O6—O7	104.4 (3)
O1—O4—O1^v	113.0 (2)	Lu3—O6—O7^vi	138.6 (4)
O1—O4—O3^viii	158.31 (19)	Lu3—O6—O12	84.8 (3)
O1—O4—O4^v	42.67 (15)	Lu3—O6—O12^vi	152.3 (7)
O1—O4—O5	64.46 (16)	Lu3^vi—O6—Ba1^vi	91.4 (3)
O1—O4—O14^viii	118.9 (2)	Lu3^vi—O6—O2^vi	47.09 (19)
O1—O4—O15^viii	43.41 (14)	Lu3^vi—O6—O5^vi	131.7 (4)
O1—O4—O15^i	85.98 (19)	Lu3^vi—O6—O8	46.6 (2)
O1—O4—B4	99.1 (4)	Lu3^vi—O6—O8^vi	70.0 (3)
O1—O4—B4^v	24.49 (18)	Lu3^vi—O6—O10^vii	136.1 (4)
O1—O4—O7^ii	107.7 (2)	Lu3^vi—O6—O10^ix	41.4 (2)
O1^v—O4—O3^viii	69.60 (19)	Lu3^vi—O6—B1	125.6 (7)
O1^v—O4—O4^v	70.29 (18)	Lu3^vi—O6—B5^vii	150.0 (4)
O1^v—O4—O5	145.3 (2)	Lu3^vi—O6—O6^vi	86.4 (8)
O1^v—O4—O14^viii	105.7 (2)	Lu3^vi—O6—O7	135.6 (5)
O1^v—O4—O15^viii	92.6 (2)	Lu3^vi—O6—O7^vi	119.0 (5)
O1^v—O4—O15^i	59.2 (2)	Lu3^vi—O6—O12	118.1 (5)
O1^v—O4—B4	29.9 (4)	Lu3^vi—O6—O12^vi	112.0 (5)
O1^v—O4—B4^v	91.8 (2)	Ba1^vi—O6—O2^vi	54.52 (18)
O1^v—O4—O7^ii	122.7 (3)	Ba1^vi—O6—O5^vi	49.66 (19)
O3^viii—O4—O4^v	133.9 (2)	Ba1^vi—O6—O8	127.7 (3)
O3^viii—O4—O5	100.63 (19)	Ba1^vi—O6—O8^vi	62.9 (3)
O3^viii—O4—O14^viii	43.77 (15)	Ba1^vi—O6—O10^vii	91.1 (3)
O3^viii—O4—O15^viii	116.34 (19)	Ba1^vi—O6—O10^ix	107.7 (3)
O3^viii—O4—O15^i	111.8 (2)	Ba1^vi—O6—B1	118.4 (6)
O3^viii—O4—B4	92.1 (4)	Ba1^vi—O6—B5^vii	73.0 (3)
O3^viii—O4—B4^v	140.3 (2)	Ba1^vi—O6—O6^vi	175.2 (8)
O3^viii—O4—O7^ii	86.5 (2)	Ba1^vi—O6—O7	118.5 (4)
O4^v—O4—O5	99.48 (18)	Ba1^vi—O6—O7^vi	94.6 (4)
O4^v—O4—O14^viii	133.88 (19)	Ba1^vi—O6—O12	146.9 (5)
O4^v—O4—O15^viii	44.84 (14)	Ba1^vi—O6—O12^vi	64.9 (5)
O4^v—O4—O15^i	63.33 (17)	O2^vi—O6—O5^vi	104.2 (3)
O4^v—O4—B4	61.6 (3)	O2^vi—O6—O8	93.7 (3)
O4^v—O4—B4^v	24.83 (19)	O2^vi—O6—O8^vi	80.6 (3)
O4^v—O4—O7^ii	135.1 (2)	O2^vi—O6—O10^vii	143.7 (4)
O5—O4—O14^viii	56.88 (16)	O2^vi—O6—O10^ix	53.7 (2)
O5—O4—O15^viii	61.07 (16)	O2^vi—O6—B1	114.5 (5)
O5—O4—O15^i	146.6 (3)	O2^vi—O6—B5^vii	127.3 (4)
O5—O4—B4	160.9 (4)	O2^vi—O6—O6^vi	125.7 (9)
O5—O4—B4^v	74.7 (2)	O2^vi—O6—O7	124.9 (4)
O5—O4—O7^ii	88.4 (2)	O2^vi—O6—O7^vi	90.9 (3)
O14^viii—O4—O15^viii	91.21 (17)	O2^vi—O6—O12	136.7 (5)
O14^viii—O4—O15^i	155.1 (3)	O2^vi—O6—O12^vi	69.9 (4)
O14^viii—O4—B4	133.6 (4)	O5^vi—O6—O8	131.8 (3)
O14^viii—O4—B4^v	117.2 (2)	O5^vi—O6—O8^vi	67.0 (3)
O14^viii—O4—O7^ii	87.0 (2)	O5^vi—O6—O10^vii	42.92 (18)
O15^viii—O4—O15^i	108.2 (2)	O5^vi—O6—O10^ix	156.6 (3)
O15^viii—O4—B4	100.5 (4)	O5^vi—O6—B1	100.4 (5)
O15^viii—O4—B4^v	26.92 (18)	O5^vi—O6—B5^vii	23.84 (18)
O15^viii—O4—O7^ii	143.7 (3)	O5^vi—O6—O6^vi	129.8 (8)
O15^i—O4—B4	29.3 (4)	O5^vi—O6—O7	91.9 (4)
O15^i—O4—B4^v	84.7 (2)	O5^vi—O6—O7^vi	94.8 (4)
O15^i—O4—O7^ii	86.2 (2)	O5^vi—O6—O12	108.5 (4)
B4—O4—B4^v	86.4 (4)	O5^vi—O6—O12^vi	79.6 (5)
B4—O4—O7^ii	106.8 (4)	O8—O6—O8^vi	72.6 (3)
B4^v—O4—O7^ii	131.8 (3)	O8—O6—O10^vii	100.6 (3)
Lu2^viii—O5—Ba1	106.68 (17)	O8—O6—O10^ix	64.1 (2)
Lu2^viii—O5—Ba2	97.28 (19)	O8—O6—B1	112.2 (6)
Lu2^viii—O5—O4	46.54 (14)	O8—O6—B5^vii	125.5 (3)
Lu2^viii—O5—O8	144.3 (2)	O8—O6—O6^vi	48.2 (6)
Lu2^viii—O5—O10^ix	134.8 (2)	O8—O6—O7	113.8 (4)
Lu2^viii—O5—O11^xii	98.9 (2)	O8—O6—O7^vi	129.8 (5)
Lu2^viii—O5—O13^viii	45.76 (14)	O8—O6—O12	85.2 (4)
Lu2^viii—O5—O14^viii	47.71 (14)	O8—O6—O12^vi	148.3 (7)
Lu2^viii—O5—O15^viii	45.92 (13)	O8^vi—O6—O10^vii	72.4 (3)
Lu2^viii—O5—B5^ix	119.1 (5)	O8^vi—O6—O10^ix	111.3 (4)
Lu2^viii—O5—O6^vi	157.6 (2)	O8^vi—O6—B1	163.0 (6)
Ba1—O5—Ba2	90.70 (14)	O8^vi—O6—B5^vii	80.0 (3)
Ba1—O5—O4	110.89 (18)	O8^vi—O6—O6^vi	112.3 (8)
Ba1—O5—O8	55.63 (12)	O8^vi—O6—O7	151.4 (5)
Ba1—O5—O10^ix	118.5 (2)	O8^vi—O6—O7^vi	156.8 (5)
Ba1—O5—O11^xii	121.6 (2)	O8^vi—O6—O12	138.6 (4)
Ba1—O5—O13^viii	86.25 (15)	O8^vi—O6—O12^vi	127.8 (6)
Ba1—O5—O14^viii	151.8 (2)	O10^vii—O6—O10^ix	160.5 (3)
Ba1—O5—O15^viii	62.71 (13)	O10^vii—O6—B1	90.6 (4)
Ba1—O5—B5^ix	126.0 (5)	O10^vii—O6—B5^vii	25.15 (18)
Ba1—O5—O6^vi	57.07 (17)	O10^vii—O6—O6^vi	87.5 (7)
Ba2—O5—O4	51.59 (13)	O10^vii—O6—O7	78.9 (3)
Ba2—O5—O8	56.59 (13)	O10^vii—O6—O7^vi	104.4 (4)
Ba2—O5—O10^ix	81.40 (18)	O10^vii—O6—O12	78.1 (3)
Ba2—O5—O11^xii	137.1 (2)	O10^vii—O6—O12^vi	108.6 (6)
Ba2—O5—O13^viii	139.2 (2)	O10^ix—O6—B1	84.9 (5)
Ba2—O5—O14^viii	102.86 (18)	O10^ix—O6—B5^vii	167.9 (4)
Ba2—O5—O15^viii	85.14 (16)	O10^ix—O6—O6^vi	73.3 (8)
Ba2—O5—B5^ix	109.1 (4)	O10^ix—O6—O7	95.8 (4)
Ba2—O5—O6^vi	98.1 (2)	O10^ix—O6—O7^vi	79.5 (4)
O4—O5—O8	106.5 (2)	O10^ix—O6—O12	88.2 (4)
O4—O5—O10^ix	110.5 (2)	O10^ix—O6—O12^vi	84.6 (5)
O4—O5—O11^xii	124.4 (2)	B1—O6—B5^vii	84.3 (5)
O4—O5—O13^viii	91.9 (2)	B1—O6—O6^vi	66.2 (7)
O4—O5—O14^viii	62.72 (17)	B1—O6—O7	11.6 (3)
O4—O5—O15^viii	59.17 (16)	B1—O6—O7^vi	27.0 (3)
O4—O5—B5^ix	120.9 (4)	B1—O6—O12	32.3 (4)
O4—O5—O6^vi	149.1 (3)	B1—O6—O12^vi	56.5 (5)
O8—O5—O10^ix	70.22 (19)	B5^vii—O6—O6^vi	107.0 (8)
O8—O5—O11^xii	116.8 (3)	B5^vii—O6—O7	73.9 (4)
O8—O5—O13^viii	141.35 (19)	B5^vii—O6—O7^vi	88.3 (4)
O8—O5—O14^viii	151.3 (2)	B5^vii—O6—O12	85.5 (4)
O8—O5—O15^viii	103.23 (18)	B5^vii—O6—O12^vi	84.9 (5)
O8—O5—B5^ix	94.0 (4)	O6^vi—O6—O7	65.8 (7)
O8—O5—O6^vi	42.59 (19)	O6^vi—O6—O7^vi	90.2 (8)
O10^ix—O5—O11^xii	59.31 (19)	O6^vi—O6—O12	37.1 (6)
O10^ix—O5—O13^viii	134.8 (2)	O6^vi—O6—O12^vi	119.9 (10)
O10^ix—O5—O14^viii	88.2 (2)	O7—O6—O7^vi	34.7 (3)
O10^ix—O5—O15^viii	166.5 (3)	O7—O6—O12	29.1 (3)
O10^ix—O5—B5^ix	29.4 (4)	O7—O6—O12^vi	61.8 (5)
O10^ix—O5—O6^vi	63.9 (2)	O7^vi—O6—O12	59.1 (4)
O11^xii—O5—O13^viii	75.6 (2)	O7^vi—O6—O12^vi	30.2 (4)
O11^xii—O5—O14^viii	62.5 (2)	O12—O6—O12^vi	88.8 (6)
O11^xii—O5—O15^viii	132.9 (3)	Ba2^vii—O7—Ba3^xii	114.3 (3)
O11^xii—O5—B5^ix	29.9 (4)	Ba2^vii—O7—Ba3^xiv	101.9 (3)
O11^xii—O5—O6^vi	80.6 (3)	Ba2^vii—O7—O4^vii	53.13 (17)
O13^viii—O5—O14^viii	67.29 (17)	Ba2^vii—O7—O11^xiv	56.8 (2)
O13^viii—O5—O15^viii	57.50 (15)	Ba2^vii—O7—B1	115.7 (5)
O13^viii—O5—B5^ix	105.4 (4)	Ba2^vii—O7—O6	105.0 (4)
O13^viii—O5—O6^vi	113.7 (2)	Ba2^vii—O7—O6^vi	96.8 (4)
O14^viii—O5—O15^viii	93.6 (2)	Ba2^vii—O7—O7^vi	155.4 (7)
O14^viii—O5—B5^ix	72.9 (4)	Ba2^vii—O7—O12	75.9 (5)
O14^viii—O5—O6^vi	142.0 (3)	Ba2^vii—O7—O12^vi	130.1 (5)
O15^viii—O5—B5^ix	162.0 (5)	Ba3^xii—O7—Ba3^xiv	118.0 (3)
O15^viii—O5—O6^vi	119.7 (2)	Ba3^xii—O7—O4^vii	62.3 (2)
B5^ix—O5—O6^vi	70.4 (4)	Ba3^xii—O7—O11^xiv	155.5 (4)
Lu3—O8—Lu3^vi	89.05 (18)	Ba3^xii—O7—B1	112.6 (6)
Lu3—O8—Ba1	85.62 (13)	Ba3^xii—O7—O6	122.6 (5)
Lu3—O8—Ba2	175.37 (18)	Ba3^xii—O7—O6^vi	108.6 (5)
Lu3—O8—O3	115.7 (2)	Ba3^xii—O7—O7^vi	89.4 (6)
Lu3—O8—O5	118.53 (18)	Ba3^xii—O7—O12	86.3 (7)
Lu3—O8—O8^vi	42.04 (11)	Ba3^xii—O7—O12^vi	114.9 (4)
Lu3—O8—O10^ix	112.31 (18)	Ba3^xiv—O7—O4^vii	117.7 (3)
Lu3—O8—O11^ix	130.3 (2)	Ba3^xiv—O7—O11^xiv	51.3 (2)
Lu3—O8—O14	54.85 (18)	Ba3^xiv—O7—B1	92.2 (5)
Lu3—O8—B3	87.2 (4)	Ba3^xiv—O7—O6	91.2 (4)
Lu3—O8—O6	50.1 (2)	Ba3^xiv—O7—O6^vi	115.2 (4)
Lu3—O8—O6^vi	51.8 (3)	Ba3^xiv—O7—O7^vi	58.3 (5)
Lu3^vi—O8—Ba1	120.85 (19)	Ba3^xiv—O7—O12	153.0 (8)
Lu3^vi—O8—Ba2	95.37 (16)	Ba3^xiv—O7—O12^vi	60.8 (3)
Lu3^vi—O8—O3	138.5 (2)	O4^vii—O7—O11^xiv	101.1 (3)
Lu3^vi—O8—O5	81.83 (16)	O4^vii—O7—B1	149.0 (6)
Lu3^vi—O8—O8^vi	54.95 (14)	O4^vii—O7—O6	145.3 (4)
Lu3^vi—O8—O10^ix	40.12 (12)	O4^vii—O7—O6^vi	123.1 (4)
Lu3^vi—O8—O11^ix	46.96 (13)	O4^vii—O7—O7^vi	146.5 (6)
Lu3^vi—O8—O14	127.2 (3)	O4^vii—O7—O12	83.1 (6)
Lu3^vi—O8—B3	140.8 (5)	O4^vii—O7—O12^vi	176.2 (4)
Lu3^vi—O8—O6	47.98 (19)	O11^xiv—O7—B1	90.9 (5)
Lu3^vi—O8—O6^vi	63.3 (2)	O11^xiv—O7—O6	81.5 (4)
Ba1—O8—Ba2	90.92 (15)	O11^xiv—O7—O6^vi	95.5 (4)
Ba1—O8—O3	95.02 (19)	O11^xiv—O7—O7^vi	98.8 (6)
Ba1—O8—O5	51.26 (11)	O11^xiv—O7—O12	110.7 (7)
Ba1—O8—O8^vi	122.90 (19)	O11^xiv—O7—O12^vi	80.6 (4)
Ba1—O8—O10^ix	89.36 (15)	B1—O7—O6	11.4 (3)
Ba1—O8—O11^ix	132.6 (2)	B1—O7—O6^vi	26.3 (4)
Ba1—O8—O14	95.83 (19)	B1—O7—O7^vi	56.1 (5)
Ba1—O8—B3	97.8 (4)	B1—O7—O12	65.9 (6)
Ba1—O8—O6	87.3 (2)	B1—O7—O12^vi	33.7 (4)
Ba1—O8—O6^vi	67.8 (2)	O6—O7—O6^vi	24.0 (3)
Ba2—O8—O3	61.46 (17)	O6—O7—O7^vi	64.3 (5)
Ba2—O8—O5	60.96 (14)	O6—O7—O12	64.1 (6)
Ba2—O8—O8^vi	142.40 (17)	O6—O7—O12^vi	38.1 (3)
Ba2—O8—O10^ix	70.65 (14)	O6^vi—O7—O7^vi	81.0 (5)
Ba2—O8—O11^ix	54.25 (14)	O6^vi—O7—O12	40.4 (5)
Ba2—O8—O14	122.6 (2)	O6^vi—O7—O12^vi	59.8 (4)
Ba2—O8—B3	90.3 (5)	O7^vi—O7—O12	114.4 (8)
Ba2—O8—O6	132.8 (2)	O7^vi—O7—O12^vi	29.7 (5)
Ba2—O8—O6^vi	129.4 (3)	O12—O7—O12^vi	99.6 (7)
O3—O8—O5	110.2 (2)	Lu3—O12—Ba1	77.3 (2)
O3—O8—O8^vi	123.6 (2)	Lu3—O12—Ba2^vii	84.8 (3)
O3—O8—O10^ix	131.9 (2)	Lu3—O12—Ba3^xii	168.3 (3)
O3—O8—O11^ix	94.1 (2)	Lu3—O12—O2	42.18 (16)
O3—O8—O14	61.2 (2)	Lu3—O12—O15^iii	111.2 (3)
O3—O8—B3	28.9 (4)	Lu3—O12—B1	75.4 (5)
O3—O8—O6	165.6 (3)	Lu3—O12—O6	47.9 (3)
O3—O8—O6^vi	158.0 (3)	Lu3—O12—O6^vi	39.6 (4)
O5—O8—O8^vi	125.84 (19)	Lu3—O12—O7	117.5 (8)
O5—O8—O10^ix	42.30 (13)	Lu3—O12—O7^vi	106.3 (4)
O5—O8—O11^ix	81.98 (17)	Lu3—O12—O12^vi	80.4 (3)
O5—O8—O14	146.6 (2)	Ba1—O12—Ba2^vii	107.5 (3)
O5—O8—B3	133.2 (5)	Ba1—O12—Ba3^xii	100.3 (4)
O5—O8—O6	82.3 (2)	Ba1—O12—O2	58.2 (2)
O5—O8—O6^vi	70.5 (3)	Ba1—O12—O15^iii	53.8 (2)
O8^vi—O8—O10^ix	91.99 (17)	Ba1—O12—B1	128.1 (6)
O8^vi—O8—O11^ix	88.62 (18)	Ba1—O12—O6	104.1 (4)
O8^vi—O8—O14	73.8 (2)	Ba1—O12—O6^vi	81.1 (5)
O8^vi—O8—B3	99.8 (5)	Ba1—O12—O7	165.1 (8)
O8^vi—O8—O6	45.3 (2)	Ba1—O12—O7^vi	143.1 (5)
O8^vi—O8—O6^vi	62.0 (3)	Ba1—O12—O12^vi	132.8 (4)
O10^ix—O8—O11^ix	51.78 (13)	Ba2^vii—O12—Ba3^xii	106.8 (3)
O10^ix—O8—O14	165.5 (3)	Ba2^vii—O12—O2	62.0 (2)
O10^ix—O8—B3	159.8 (5)	Ba2^vii—O12—O15^iii	70.5 (2)
O10^ix—O8—O6	62.2 (2)	Ba2^vii—O12—B1	112.8 (6)
O10^ix—O8—O6^vi	64.1 (3)	Ba2^vii—O12—O6	113.1 (5)
O11^ix—O8—O14	128.9 (2)	Ba2^vii—O12—O6^vi	121.5 (6)
O11^ix—O8—B3	111.8 (4)	Ba2^vii—O12—O7	76.4 (6)
O11^ix—O8—O6	94.7 (2)	Ba2^vii—O12—O7^vi	109.4 (5)
O11^ix—O8—O6^vi	107.6 (3)	Ba2^vii—O12—O12^vi	111.2 (4)
O14—O8—B3	32.4 (4)	Ba3^xii—O12—O2	145.4 (4)
O14—O8—O6	104.4 (3)	Ba3^xii—O12—O15^iii	75.3 (3)
O14—O8—O6^vi	105.4 (3)	Ba3^xii—O12—B1	97.9 (5)
B3—O8—O6	136.7 (5)	Ba3^xii—O12—O6	123.2 (4)
B3—O8—O6^vi	136.1 (5)	Ba3^xii—O12—O6^vi	128.9 (5)
O6—O8—O6^vi	19.5 (3)	Ba3^xii—O12—O7	65.0 (6)
Lu1—O9—Lu2	111.40 (18)	Ba3^xii—O12—O7^vi	68.6 (3)
Lu1—O9—Ba2^i	84.13 (14)	Ba3^xii—O12—O12^vi	93.4 (3)
Lu1—O9—O1	43.26 (11)	O2—O12—O15^iii	70.1 (2)
Lu1—O9—O1^i	45.94 (12)	O2—O12—B1	116.7 (6)
Lu1—O9—O2^iii	128.2 (3)	O2—O12—O6	90.0 (4)
Lu1—O9—O3	44.68 (12)	O2—O12—O6^vi	77.9 (5)
Lu1—O9—O3^i	44.76 (12)	O2—O12—O7	133.0 (7)
Lu1—O9—O13	154.3 (2)	O2—O12—O7^vi	145.1 (5)
Lu1—O9—O13^iii	110.2 (2)	O2—O12—O12^vi	121.1 (4)
Lu1—O9—O14	88.80 (16)	O15^iii—O12—B1	173.2 (6)
Lu1—O9—O15	121.37 (19)	O15^iii—O12—O6	155.7 (5)
Lu1—O9—B2	148.1 (2)	O15^iii—O12—O6^vi	133.7 (6)
Lu1—O9—B2^iii	125.1 (5)	O15^iii—O12—O7	116.9 (7)
Lu1—O9—B3	68.14 (19)	O15^iii—O12—O7^vi	142.2 (5)
Lu2—O9—Ba2^i	98.12 (14)	O15^iii—O12—O12^vi	168.4 (4)
Lu2—O9—O1	129.96 (18)	B1—O12—O6	29.6 (5)
Lu2—O9—O1^i	81.89 (17)	B1—O12—O6^vi	50.4 (6)
Lu2—O9—O2^iii	108.6 (2)	B1—O12—O7	59.6 (7)
Lu2—O9—O3	77.47 (15)	B1—O12—O7^vi	31.6 (5)
Lu2—O9—O3^i	137.4 (2)	B1—O12—O12^vi	5.7 (5)
Lu2—O9—O13	47.24 (13)	O6—O12—O6^vi	23.0 (4)
Lu2—O9—O13^iii	132.1 (3)	O6—O12—O7	86.8 (7)
Lu2—O9—O14	43.63 (12)	O6—O12—O7^vi	61.1 (4)
Lu2—O9—O15	41.10 (11)	O6—O12—O12^vi	35.2 (3)
Lu2—O9—B2	67.74 (19)	O6^vi—O12—O7	109.4 (8)
Lu2—O9—B2^iii	123.3 (4)	O6^vi—O12—O7^vi	80.1 (5)
Lu2—O9—B3	66.10 (19)	O6^vi—O12—O12^vi	56.0 (5)
Ba2^i—O9—O1	115.29 (18)	O7—O12—O7^vi	35.9 (5)
Ba2^i—O9—O1^i	53.33 (11)	O7—O12—O12^vi	54.2 (5)
Ba2^i—O9—O2^iii	58.57 (15)	O7^vi—O12—O12^vi	26.2 (3)
Ba2^i—O9—O3	117.46 (17)

Symmetry codes: (i) −x+1, −y, −z; (ii) x+1/2, y−1/2, z; (iii) −x+1/2, −y+1/2, −z; (iv) x−1/2, y−1/2, z; (v) −x+3/2, −y+1/2, −z; (vi) −x+1, y, −z+1/2; (vii) x−1/2, y+1/2, z; (viii) x+1/2, y+1/2, z; (ix) −x+3/2, y+1/2, −z+1/2; (x) x, y−1, z; (xi) −x+1, y−1, −z+1/2; (xii) x, y+1, z; (xiii) −x+3/2, y−1/2, −z+1/2; (xiv) −x+1, y+1, −z+1/2.