Perovskite-related structures of Ba₂YAlO₅ and the β and α phases of Ba₆Y₂Al₄O₁₅ containing AlO₄ tetra­hedra

Single crystals of Ba₂YAlO₅ and of the α and β phases of Ba₆Y₂Al₄O₁₅ suitable for X-ray structure analysis were obtained via grain growth of polycrystalline samples prepared by solid-state reactions. Ba₂YAlO₅ was found to have a monoclinic crystal structure, with lattice parameters a = 7.2333 (7), b = 6.0254 (5), c = 7.4294 (7) Å and β = 117.249 (3)°, and to belong to the space group P2₁/m, while α-Ba₆Y₂Al₄O₁₅ was determined to be monoclinic, with a = 5.9019 (2), b = 7.8744 (3), c = 9.6538 (3) Å and β = 107.7940 (10)°, and the space group Pm, and β-Ba₆Y₂Al₄O₁₅ was found to be monoclinic, with a = 7.8310 (2), b = 5.8990 (2), c = 18.3344 (6) Å and β = 91.6065 (11)°, and the space group P2/c. In each of these com­pounds, BO₆ octa­hedra in ABO₃ perovskite-type structures were replaced by AlO₄ tetra­hedra and YO₆ octa­hedra. Polycrystalline samples in which some Y atoms were replaced with Eu exhibited orange–red luminescence in the range 580–730 nm in response to exposure to radiation having a wavelength of approximately 250 nm.

Computing details

For all structures, data collection: APEX3 (Bruker, 2019); cell refinement: SAINT (Bruker, 2019); data reduction: SAINT (Bruker, 2019); program(s) used to solve structure: SHELXT (Sheldrick, 2015a); program(s) used to refine structure: SHELXL2019 (Sheldrick, 2015b); molecular graphics: VESTA (Momma and Izumi, 2011).

(Ba2YAlO5)

Crystal data

Ba2YAlO5	F(000) = 408
Mr = 470.57	Dx = 5.429 Mg m^−3
Monoclinic, P21/m	Mo Kα radiation, λ = 0.71073 Å
a = 7.2333 (7) Å	Cell parameters from 5316 reflections
b = 6.0254 (5) Å	θ = 3.1–30.5°
c = 7.4294 (7) Å	µ = 23.62 mm^−1
β = 117.249 (3)°	T = 301 K
V = 287.87 (5) Å^3	Granular, translucent colourless
Z = 2	0.06 × 0.03 × 0.03 mm

Data collection

Bruker D8 QUEST diffractometer	720 independent reflections
Radiation source: sealed X-ray tube	702 reflections with I > 2σ(I)
Detector resolution: 7.3910 pixels mm^-1	Rint = 0.023
φ and ω scans	θmax = 27.5°, θmin = 3.1°
Absorption correction: multi-scan (SADABS; Bruker, 2019)	h = −9→8
Tmin = 0.40, Tmax = 0.52	k = 0→7
720 measured reflections	l = 0→9

Refinement

Refinement on F^2	53 parameters
Least-squares matrix: full	12 restraints
R[F^2 > 2σ(F^2)] = 0.028	w = 1/[σ^2(Fo^2) + (0.0254P)^2 + 2.5566P] where P = (Fo^2 + 2Fc^2)/3
wR(F^2) = 0.068	(Δ/σ)max < 0.001
S = 1.23	Δρmax = 2.14 e Å^−3
720 reflections	Δρmin = −1.45 e Å^−3

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 2-domain twin

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

	x	y	z	Uiso*/Ueq
Ba1	0.62707 (9)	0.250000	0.88416 (9)	0.00711 (17)
Ba2	0.16650 (9)	0.250000	0.36487 (9)	0.00805 (18)
Y1	0.10656 (14)	0.250000	0.85782 (14)	0.0047 (2)
Al1	0.6730 (4)	0.250000	0.3377 (5)	0.0062 (6)
O1	0.7722 (9)	0.0100 (11)	0.2756 (9)	0.0213 (12)
O2	0.7496 (11)	0.250000	0.5993 (12)	0.0125 (15)
O3	0.4040 (11)	0.250000	0.1689 (11)	0.0113 (15)
O4	0.000000	0.000000	0.000000	0.0228 (18)

Atomic displacement parameters (Ų)

	U^11	U^22	U^33	U^12	U^13	U^23
Ba1	0.0059 (3)	0.0086 (3)	0.0063 (3)	0.000000	0.0024 (2)	0.000000
Ba2	0.0093 (3)	0.0078 (3)	0.0062 (3)	0.000000	0.0028 (2)	0.000000
Y1	0.0062 (4)	0.0035 (4)	0.0049 (4)	0.000000	0.0030 (4)	0.000000
Al1	0.0059 (13)	0.0095 (14)	0.0023 (13)	0.000000	0.0011 (12)	0.000000
O1	0.0212 (15)	0.0212 (15)	0.0207 (15)	0.0032 (9)	0.0090 (10)	−0.0024 (9)
O2	0.010 (3)	0.016 (4)	0.010 (4)	0.000000	0.003 (3)	0.000000
O3	0.007 (3)	0.014 (4)	0.008 (4)	0.000000	0.000 (3)	0.000000
O4	0.022 (2)	0.023 (2)	0.023 (2)	−0.0012 (10)	0.0096 (12)	0.0011 (10)

Geometric parameters (Å, º)

Ba1—O2	2.642 (8)	Ba2—O1^ix	2.989 (6)
Ba1—O4^i	2.8567 (5)	Ba2—O1^x	2.989 (6)
Ba1—O4^ii	2.8567 (5)	Ba2—O2^vi	3.0606 (13)
Ba1—O1^iii	2.976 (6)	Ba2—O2^v	3.0606 (13)
Ba1—O1^iv	2.976 (6)	Ba2—Al1^ix	3.482 (3)
Ba1—O1^v	3.010 (6)	Ba2—Y1^xi	3.5668 (7)
Ba1—O1^i	3.010 (6)	Ba2—Y1^xii	3.5668 (7)
Ba1—O3^v	3.0334 (10)	Y1—O4^xiii	2.1736 (6)
Ba1—O3^vi	3.0334 (10)	Y1—O4^iv	2.1736 (6)
Ba1—O3^iv	3.194 (8)	Y1—O1^v	2.236 (6)
Ba1—Al1^iv	3.231 (3)	Y1—O1^i	2.236 (6)
Ba1—Y1^vii	3.5622 (11)	Y1—O3^iv	2.328 (7)
Ba2—O3	2.713 (7)	Y1—O2^ix	2.411 (7)
Ba2—O4	2.8422 (5)	Al1—O2	1.760 (8)
Ba2—O4^viii	2.8422 (5)	Al1—O1	1.767 (6)
Ba2—O1^i	2.950 (6)	Al1—O1^xiv	1.767 (6)
Ba2—O1^v	2.950 (6)	Al1—O3	1.767 (8)
O2—Ba1—O4^i	67.94 (13)	O4^iv—Y1—Ba2^xi	52.828 (15)
O2—Ba1—O4^ii	67.94 (13)	O1^v—Y1—Ba2^xi	56.57 (16)
O4^i—Ba1—O4^ii	63.647 (14)	O1^i—Y1—Ba2^xi	129.22 (16)
O2—Ba1—O1^iii	133.24 (16)	O3^iv—Y1—Ba2^xi	121.63 (3)
O4^i—Ba1—O1^iii	65.63 (11)	O2^ix—Y1—Ba2^xi	57.79 (2)
O4^ii—Ba1—O1^iii	95.74 (12)	Ba1^ix—Y1—Ba2^xi	71.287 (18)
O2—Ba1—O1^iv	133.24 (16)	O4^xiii—Y1—Ba2^xii	52.828 (15)
O4^i—Ba1—O1^iv	95.74 (12)	O4^iv—Y1—Ba2^xii	124.51 (3)
O4^ii—Ba1—O1^iv	65.63 (11)	O1^v—Y1—Ba2^xii	129.22 (16)
O1^iii—Ba1—O1^iv	58.2 (2)	O1^i—Y1—Ba2^xii	56.57 (15)
O2—Ba1—O1^v	107.29 (18)	O3^iv—Y1—Ba2^xii	121.63 (3)
O4^i—Ba1—O1^v	174.99 (12)	O2^ix—Y1—Ba2^xii	57.79 (2)
O4^ii—Ba1—O1^v	116.58 (12)	Ba1^ix—Y1—Ba2^xii	71.287 (18)
O1^iii—Ba1—O1^v	118.92 (9)	Ba2^xi—Y1—Ba2^xii	115.27 (3)
O1^iv—Ba1—O1^v	88.73 (16)	O4^xiii—Y1—Ba2^iv	52.36 (2)
O2—Ba1—O1^i	107.29 (17)	O4^iv—Y1—Ba2^iv	52.36 (2)
O4^i—Ba1—O1^i	116.58 (12)	O1^v—Y1—Ba2^iv	125.57 (16)
O4^ii—Ba1—O1^i	174.99 (12)	O1^i—Y1—Ba2^iv	125.57 (16)
O1^iii—Ba1—O1^i	88.73 (16)	O3^iv—Y1—Ba2^iv	49.10 (18)
O1^iv—Ba1—O1^i	118.92 (9)	O2^ix—Y1—Ba2^iv	114.00 (18)
O1^v—Ba1—O1^i	62.7 (2)	Ba1^ix—Y1—Ba2^iv	66.12 (2)
O2—Ba1—O3^v	85.87 (14)	Ba2^xi—Y1—Ba2^iv	105.185 (18)
O4^i—Ba1—O3^v	124.50 (13)	Ba2^xii—Y1—Ba2^iv	105.185 (18)
O4^ii—Ba1—O3^v	61.25 (13)	O4^xiii—Y1—Ba1^xv	52.161 (15)
O1^iii—Ba1—O3^v	125.58 (19)	O4^iv—Y1—Ba1^xv	122.76 (3)
O1^iv—Ba1—O3^v	67.44 (19)	O1^v—Y1—Ba1^xv	126.61 (16)
O1^v—Ba1—O3^v	55.34 (17)	O1^i—Y1—Ba1^xv	55.22 (16)
O1^i—Ba1—O3^v	117.70 (18)	O3^iv—Y1—Ba1^xv	56.480 (17)
O2—Ba1—O3^vi	85.87 (14)	O2^ix—Y1—Ba1^xv	122.58 (3)
O4^i—Ba1—O3^vi	61.25 (13)	Ba1^ix—Y1—Ba1^xv	105.47 (2)
O4^ii—Ba1—O3^vi	124.50 (13)	Ba2^xi—Y1—Ba1^xv	175.48 (3)
O1^iii—Ba1—O3^vi	67.44 (19)	Ba2^xii—Y1—Ba1^xv	65.780 (13)
O1^iv—Ba1—O3^vi	125.58 (19)	Ba2^iv—Y1—Ba1^xv	70.409 (18)
O1^v—Ba1—O3^vi	117.70 (17)	O4^xiii—Y1—Ba1^xvi	122.76 (3)
O1^i—Ba1—O3^vi	55.34 (17)	O4^iv—Y1—Ba1^xvi	52.161 (15)
O3^v—Ba1—O3^vi	166.6 (3)	O1^v—Y1—Ba1^xvi	55.22 (16)
O2—Ba1—O3^iv	170.7 (2)	O1^i—Y1—Ba1^xvi	126.61 (16)
O4^i—Ba1—O3^iv	119.61 (10)	O3^iv—Y1—Ba1^xvi	56.480 (18)
O4^ii—Ba1—O3^iv	119.61 (10)	O2^ix—Y1—Ba1^xvi	122.58 (3)
O1^iii—Ba1—O3^iv	53.98 (15)	Ba1^ix—Y1—Ba1^xvi	105.47 (2)
O1^iv—Ba1—O3^iv	53.98 (15)	Ba2^xi—Y1—Ba1^xvi	65.780 (13)
O1^v—Ba1—O3^iv	64.97 (15)	Ba2^xii—Y1—Ba1^xvi	175.48 (3)
O1^i—Ba1—O3^iv	64.97 (15)	Ba2^iv—Y1—Ba1^xvi	70.409 (17)
O3^v—Ba1—O3^iv	93.23 (14)	Ba1^xv—Y1—Ba1^xvi	112.81 (3)
O3^vi—Ba1—O3^iv	93.23 (14)	O2—Al1—O1	109.2 (2)
O2—Ba1—Al1^iv	157.41 (17)	O2—Al1—O1^xiv	109.2 (2)
O4^i—Ba1—Al1^iv	93.09 (5)	O1—Al1—O1^xiv	109.9 (4)
O4^ii—Ba1—Al1^iv	93.09 (5)	O2—Al1—O3	118.1 (4)
O1^iii—Ba1—Al1^iv	32.76 (12)	O1—Al1—O3	105.2 (3)
O1^iv—Ba1—Al1^iv	32.76 (12)	O1^xiv—Al1—O3	105.2 (3)
O1^v—Ba1—Al1^iv	91.90 (12)	O2—Al1—Ba1^xvii	169.0 (3)
O1^i—Ba1—Al1^iv	91.90 (12)	O1—Al1—Ba1^xvii	65.7 (2)
O3^v—Ba1—Al1^iv	95.84 (14)	O1^xiv—Al1—Ba1^xvii	65.7 (2)
O3^vi—Ba1—Al1^iv	95.84 (14)	O3—Al1—Ba1^xvii	72.9 (3)
O3^iv—Ba1—Al1^iv	31.92 (14)	O2—Al1—Ba2^vii	98.0 (3)
O2—Ba1—Y1^vii	42.60 (16)	O1—Al1—Ba2^vii	59.1 (2)
O4^i—Ba1—Y1^vii	37.598 (11)	O1^xiv—Al1—Ba2^vii	59.1 (2)
O4^ii—Ba1—Y1^vii	37.598 (11)	O3—Al1—Ba2^vii	143.9 (3)
O1^iii—Ba1—Y1^vii	97.88 (11)	Ba1^xvii—Al1—Ba2^vii	70.95 (6)
O1^iv—Ba1—Y1^vii	97.88 (11)	O2—Al1—Ba2^vi	58.14 (6)
O1^v—Ba1—Y1^vii	139.53 (11)	O1—Al1—Ba2^vi	142.2 (2)
O1^i—Ba1—Y1^vii	139.53 (11)	O1^xiv—Al1—Ba2^vi	54.5 (2)
O3^v—Ba1—Y1^vii	90.51 (13)	O3—Al1—Ba2^vi	112.11 (12)
O3^vi—Ba1—Y1^vii	90.51 (13)	Ba1^xvii—Al1—Ba2^vi	119.37 (5)
O3^iv—Ba1—Y1^vii	146.73 (13)	Ba2^vii—Al1—Ba2^vi	86.01 (5)
Al1^iv—Ba1—Y1^vii	114.81 (5)	O2—Al1—Ba2^v	58.14 (6)
O3—Ba2—O4	65.43 (12)	O1—Al1—Ba2^v	54.5 (2)
O3—Ba2—O4^viii	65.43 (12)	O1^xiv—Al1—Ba2^v	142.2 (2)
O4—Ba2—O4^viii	64.010 (14)	O3—Al1—Ba2^v	112.11 (12)
O3—Ba2—O1^i	128.04 (16)	Ba1^xvii—Al1—Ba2^v	119.37 (5)
O4—Ba2—O1^i	165.36 (11)	Ba2^vii—Al1—Ba2^v	86.01 (5)
O4^viii—Ba2—O1^i	113.87 (12)	Ba2^vi—Al1—Ba2^v	113.63 (8)
O3—Ba2—O1^v	128.04 (16)	O2—Al1—Ba1^v	108.74 (13)
O4—Ba2—O1^v	113.87 (12)	O1—Al1—Ba1^v	55.5 (2)
O4^viii—Ba2—O1^v	165.36 (11)	O1^xiv—Al1—Ba1^v	142.1 (2)
O1^i—Ba2—O1^v	64.2 (2)	O3—Al1—Ba1^v	56.21 (5)
O3—Ba2—O1^ix	130.94 (16)	Ba1^xvii—Al1—Ba1^v	76.84 (5)
O4—Ba2—O1^ix	65.63 (11)	Ba2^vii—Al1—Ba1^v	114.17 (5)
O4^viii—Ba2—O1^ix	95.75 (12)	Ba2^vi—Al1—Ba1^v	158.32 (9)
O1^i—Ba2—O1^ix	100.98 (11)	Ba2^v—Al1—Ba1^v	62.791 (16)
O1^v—Ba2—O1^ix	71.13 (18)	O2—Al1—Ba1^vi	108.74 (13)
O3—Ba2—O1^x	130.94 (16)	O1—Al1—Ba1^vi	142.1 (2)
O4—Ba2—O1^x	95.75 (12)	O1^xiv—Al1—Ba1^vi	55.5 (2)
O4^viii—Ba2—O1^x	65.63 (11)	O3—Al1—Ba1^vi	56.21 (4)
O1^i—Ba2—O1^x	71.13 (18)	Ba1^xvii—Al1—Ba1^vi	76.84 (5)
O1^v—Ba2—O1^x	100.98 (11)	Ba2^vii—Al1—Ba1^vi	114.17 (5)
O1^ix—Ba2—O1^x	57.9 (2)	Ba2^vi—Al1—Ba1^vi	62.791 (16)
O3—Ba2—O2^vi	84.13 (14)	Ba2^v—Al1—Ba1^vi	158.32 (9)
O4—Ba2—O2^vi	125.82 (15)	Ba1^v—Al1—Ba1^vi	111.86 (8)
O4^viii—Ba2—O2^vi	62.73 (14)	O2—Al1—Ba2	76.3 (3)
O1^i—Ba2—O2^vi	57.10 (19)	O1—Al1—Ba2	122.4 (2)
O1^v—Ba2—O2^vi	120.15 (19)	O1^xiv—Al1—Ba2	122.4 (2)
O1^ix—Ba2—O2^vi	128.80 (18)	O3—Al1—Ba2	41.8 (3)
O1^x—Ba2—O2^vi	70.98 (18)	Ba1^xvii—Al1—Ba2	114.74 (8)
O3—Ba2—O2^v	84.13 (14)	Ba2^vii—Al1—Ba2	174.31 (10)
O4—Ba2—O2^v	62.73 (14)	Ba2^vi—Al1—Ba2	90.88 (6)
O4^viii—Ba2—O2^v	125.82 (15)	Ba2^v—Al1—Ba2	90.88 (6)
O1^i—Ba2—O2^v	120.15 (19)	Ba1^v—Al1—Ba2	68.31 (4)
O1^v—Ba2—O2^v	57.10 (19)	Ba1^vi—Al1—Ba2	68.31 (4)
O1^ix—Ba2—O2^v	70.98 (18)	Al1—O1—Y1^v	167.8 (4)
O1^x—Ba2—O2^v	128.80 (18)	Al1—O1—Ba2^v	96.3 (2)
O2^vi—Ba2—O2^v	159.7 (3)	Y1^v—O1—Ba2^v	95.9 (2)
O3—Ba2—Al1^ix	148.56 (16)	Al1—O1—Ba1^xvii	81.6 (2)
O4—Ba2—Al1^ix	88.23 (4)	Y1^v—O1—Ba1^xvii	86.66 (18)
O4^viii—Ba2—Al1^ix	88.23 (4)	Ba2^v—O1—Ba1^xvii	169.3 (2)
O1^i—Ba2—Al1^ix	77.15 (12)	Al1—O1—Ba2^vii	90.4 (3)
O1^v—Ba2—Al1^ix	77.15 (12)	Y1^v—O1—Ba2^vii	84.79 (17)
O1^ix—Ba2—Al1^ix	30.50 (12)	Ba2^v—O1—Ba2^vii	108.87 (18)
O1^x—Ba2—Al1^ix	30.50 (12)	Ba1^xvii—O1—Ba2^vii	81.69 (16)
O2^vi—Ba2—Al1^ix	99.33 (13)	Al1—O1—Ba1^v	95.6 (2)
O2^v—Ba2—Al1^ix	99.33 (13)	Y1^v—O1—Ba1^v	87.8 (2)
O3—Ba2—Y1^xi	95.93 (8)	Ba2^v—O1—Ba1^v	78.47 (15)
O4—Ba2—Y1^xi	37.545 (15)	Ba1^xvii—O1—Ba1^v	91.27 (16)
O4^viii—Ba2—Y1^xi	95.88 (2)	Ba2^vii—O1—Ba1^v	170.0 (2)
O1^i—Ba2—Y1^xi	133.66 (11)	Al1—O2—Y1^vii	124.1 (4)
O1^v—Ba2—Y1^xi	78.07 (12)	Al1—O2—Ba1	146.4 (4)
O1^ix—Ba2—Y1^xi	38.64 (11)	Y1^vii—O2—Ba1	89.5 (2)
O1^x—Ba2—Y1^xi	92.08 (12)	Al1—O2—Ba2^vi	92.62 (15)
O2^vi—Ba2—Y1^xi	156.55 (14)	Y1^vii—O2—Ba2^vi	80.41 (14)
O2^v—Ba2—Y1^xi	41.80 (14)	Ba1—O2—Ba2^vi	93.22 (15)
Al1^ix—Ba2—Y1^xi	68.77 (3)	Al1—O2—Ba2^v	92.62 (15)
O3—Ba2—Y1^xii	95.93 (8)	Y1^vii—O2—Ba2^v	80.41 (14)
O4—Ba2—Y1^xii	95.88 (2)	Ba1—O2—Ba2^v	93.22 (15)
O4^viii—Ba2—Y1^xii	37.545 (15)	Ba2^vi—O2—Ba2^v	159.7 (3)
O1^i—Ba2—Y1^xii	78.07 (12)	Al1—O3—Y1^xvii	157.1 (4)
O1^v—Ba2—Y1^xii	133.66 (11)	Al1—O3—Ba2	112.4 (4)
O1^ix—Ba2—Y1^xii	92.08 (12)	Y1^xvii—O3—Ba2	90.5 (2)
O1^x—Ba2—Y1^xii	38.64 (11)	Al1—O3—Ba1^v	94.83 (13)
O2^vi—Ba2—Y1^xii	41.80 (14)	Y1^xvii—O3—Ba1^v	83.75 (14)
O2^v—Ba2—Y1^xii	156.55 (14)	Ba2—O3—Ba1^v	92.42 (14)
Al1^ix—Ba2—Y1^xii	68.77 (3)	Al1—O3—Ba1^vi	94.83 (13)
Y1^xi—Ba2—Y1^xii	115.27 (3)	Y1^xvii—O3—Ba1^vi	83.75 (14)
O4^xiii—Y1—O4^iv	87.74 (3)	Ba2—O3—Ba1^vi	92.42 (14)
O4^xiii—Y1—O1^v	177.55 (16)	Ba1^v—O3—Ba1^vi	166.6 (3)
O4^iv—Y1—O1^v	91.62 (16)	Al1—O3—Ba1^xvii	75.2 (3)
O4^xiii—Y1—O1^i	91.62 (16)	Y1^xvii—O3—Ba1^xvii	81.9 (2)
O4^iv—Y1—O1^i	177.55 (16)	Ba2—O3—Ba1^xvii	172.4 (3)
O1^v—Y1—O1^i	88.9 (3)	Ba1^v—O3—Ba1^xvii	86.77 (14)
O4^xiii—Y1—O3^iv	83.67 (13)	Ba1^vi—O3—Ba1^xvii	86.77 (14)
O4^iv—Y1—O3^iv	83.67 (13)	Y1^xi—O4—Y1^xvii	180.00 (4)
O1^v—Y1—O3^iv	93.9 (2)	Y1^xi—O4—Ba2^xviii	90.37 (2)
O1^i—Y1—O3^iv	93.9 (2)	Y1^xvii—O4—Ba2^xviii	89.63 (2)
O4^xiii—Y1—O2^ix	84.17 (13)	Y1^xi—O4—Ba2	89.63 (2)
O4^iv—Y1—O2^ix	84.17 (13)	Y1^xvii—O4—Ba2	90.37 (2)
O1^v—Y1—O2^ix	98.1 (2)	Ba2^xviii—O4—Ba2	180.000 (17)
O1^i—Y1—O2^ix	98.1 (2)	Y1^xi—O4—Ba1^v	89.10 (2)
O3^iv—Y1—O2^ix	163.1 (3)	Y1^xvii—O4—Ba1^v	90.90 (2)
O4^xiii—Y1—Ba1^ix	53.31 (2)	Ba2^xviii—O4—Ba1^v	86.399 (15)
O4^iv—Y1—Ba1^ix	53.31 (2)	Ba2—O4—Ba1^v	93.601 (15)
O1^v—Y1—Ba1^ix	127.86 (16)	Y1^xi—O4—Ba1^xix	90.90 (2)
O1^i—Y1—Ba1^ix	127.86 (16)	Y1^xvii—O4—Ba1^xix	89.10 (2)
O3^iv—Y1—Ba1^ix	115.22 (18)	Ba2^xviii—O4—Ba1^xix	93.601 (15)
O2^ix—Y1—Ba1^ix	47.88 (18)	Ba2—O4—Ba1^xix	86.399 (15)
O4^xiii—Y1—Ba2^xi	124.51 (3)	Ba1^v—O4—Ba1^xix	180.0000

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

(aBa6Y2Al4O15)

Crystal data

Ba6Y2Al4O15	F(000) = 586
Mr = 1349.78	Dx = 5.247 Mg m^−3
Monoclinic, Pm	Mo Kα radiation, λ = 0.71073 Å
a = 5.9019 (2) Å	Cell parameters from 5503 reflections
b = 7.8744 (3) Å	θ = 2.2–27.4°
c = 9.6538 (3) Å	µ = 20.58 mm^−1
β = 107.794 (1)°	T = 301 K
V = 427.19 (3) Å^3	Granular, colourless
Z = 1	0.04 × 0.03 × 0.02 mm

Data collection

Bruker D8 QUEST diffractometer	2097 independent reflections
Radiation source: sealed X-ray tube	1868 reflections with I > 2σ(I)
Detector resolution: 7.3910 pixels mm^-1	Rint = 0.039
ω and φ scan	θmax = 27.4°, θmin = 2.2°
Absorption correction: multi-scan (SADABS; Bruker, 2019)	h = −7→7
Tmin = 0.57, Tmax = 0.70	k = −10→10
12475 measured reflections	l = −12→12

Refinement

Refinement on F^2	0 restraints
Least-squares matrix: full	w = 1/[σ^2(Fo^2) + (0.0125P)^2 + 2.9474P] where P = (Fo^2 + 2Fc^2)/3
R[F^2 > 2σ(F^2)] = 0.028	(Δ/σ)max < 0.001
wR(F^2) = 0.060	Δρmax = 1.32 e Å^−3
S = 1.10	Δρmin = −1.83 e Å^−3
2097 reflections	Absolute structure: Refined as an inversion twin
100 parameters	Absolute structure parameter: 0.54 (3)

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 2-component inversion twin

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

	x	y	z	Uiso*/Ueq	Occ. (<1)
Ba1	0.4671 (19)	0.23574 (19)	0.4810 (13)	0.0205 (4)
Ba2	0.1382 (19)	0.2619 (2)	0.8231 (13)	0.0172 (3)
Ba3	0.754 (2)	0.2503 (4)	0.1526 (13)	0.0183 (3)	0.5
Ba3B	0.852 (2)	0.2500 (4)	0.1528 (13)	0.0183 (3)	0.5
Y1	0.964 (2)	0.500000	0.4732 (13)	0.0101 (7)
Y2	0.641 (2)	0.000000	0.8282 (13)	0.0059 (6)
Al1	0.322 (3)	0.4724 (17)	0.1837 (18)	0.009 (3)*	0.5
Al2	0.286 (3)	0.0370 (14)	0.1124 (17)	0.006 (3)*	0.5
Al3	0.617 (2)	0.500000	0.7793 (14)	0.0068 (18)*
Al4	0.000 (2)	0.000000	0.5438 (15)	0.0035 (16)*
O1	0.310 (5)	0.500000	0.653 (2)	0.018 (5)*
O2	0.449 (4)	0.000000	−0.002 (2)	0.018 (4)*
O3	0.794 (5)	0.500000	0.649 (3)	0.021 (5)*
O4	0.622 (2)	0.500000	0.2981 (12)	0.008 (4)*
O5	0.954 (4)	0.2002 (19)	0.452 (2)	0.014 (3)*
O6	0.654 (4)	0.2970 (19)	0.8566 (19)	0.015 (3)*
O7	0.000000	0.000000	0.000000	0.021 (5)*
O8	0.809 (4)	0.000000	0.649 (2)	0.005 (4)*
O9	0.294 (4)	0.000000	0.652 (2)	0.007 (4)*
O10	0.125 (4)	0.500000	0.297 (2)	0.011 (4)*
O11	0.330 (4)	0.071 (3)	0.275 (3)	0.027 (5)*	0.5
O12	0.320 (6)	0.252 (4)	0.153 (4)	0.024 (4)*	0.5
O13	0.207 (4)	0.429 (3)	0.027 (3)	0.030 (5)*	0.5

Atomic displacement parameters (Ų)

	U^11	U^22	U^33	U^12	U^13	U^23
Ba1	0.0151 (11)	0.0228 (7)	0.0240 (9)	0.0051 (8)	0.0067 (6)	0.0171 (8)
Ba2	0.0081 (9)	0.0238 (7)	0.0217 (6)	0.0032 (7)	0.0073 (5)	0.0101 (7)
Ba3	0.0262 (8)	0.0161 (3)	0.0110 (3)	−0.0020 (7)	0.0032 (6)	−0.0064 (2)
Ba3B	0.0262 (8)	0.0161 (3)	0.0110 (3)	−0.0020 (7)	0.0032 (6)	−0.0064 (2)
Y1	0.0064 (14)	0.0169 (15)	0.0089 (14)	0.000000	0.0050 (9)	0.000000
Y2	0.0062 (13)	0.0078 (12)	0.0022 (10)	0.000000	−0.0011 (8)	0.000000

Geometric parameters (Å, º)

Ba1—O11	2.30 (2)	Ba3B—O11^vi	3.05 (2)
Ba1—O8	2.856 (15)	Ba3B—O13^vi	3.06 (2)
Ba1—O9	2.872 (16)	Ba3B—O2	3.099 (16)
Ba1—O3	2.963 (18)	Ba3B—O12	3.14 (3)
Ba1—O5^i	2.971 (18)	Ba3B—Al2^vi	3.183 (13)
Ba1—O5	2.981 (18)	Y1—O10^vi	2.192 (18)
Ba1—O1	2.983 (18)	Y1—O4	2.201 (12)
Ba1—O12	3.02 (4)	Y1—O3	2.22 (3)
Ba1—O4	3.045 (10)	Y1—O1^vi	2.24 (2)
Ba1—O10	3.063 (12)	Y1—O5^vii	2.368 (15)
Ba1—O11^ii	3.07 (2)	Y1—O5	2.368 (15)
Ba1—Al1	3.308 (12)	Y2—O9	2.23 (2)
Ba2—O13^iii	2.30 (2)	Y2—O8	2.24 (2)
Ba2—O1	2.872 (19)	Y2—O7^viii	2.255 (11)
Ba2—O3^i	2.893 (19)	Y2—O2^iii	2.26 (2)
Ba2—O2^iii	2.928 (14)	Y2—O6^ii	2.353 (15)
Ba2—O7^iii	2.947 (9)	Y2—O6	2.353 (15)
Ba2—O9	2.958 (15)	Al1—Al1^vii	0.43 (3)
Ba2—O8^i	2.974 (15)	Al1—O13	1.49 (2)
Ba2—O6	2.977 (18)	Al1—O13^vii	1.65 (2)
Ba2—O6^i	2.983 (18)	Al1—O12	1.76 (4)
Ba2—O12^iii	3.03 (4)	Al1—O4	1.792 (17)
Ba2—O13^iv	3.08 (2)	Al1—O10	1.83 (2)
Ba2—Al2^iii	3.195 (11)	Al1—O12^vii	2.19 (4)
Ba3—Ba3B	0.5800 (17)	Al2—Al2^ii	0.58 (2)
Ba3—O12	2.56 (3)	Al2—O11	1.54 (2)
Ba3—O4	2.667 (10)	Al2—O2	1.70 (2)
Ba3—O6^v	2.760 (14)	Al2—O7	1.730 (15)
Ba3—O2	2.777 (14)	Al2—O11^ii	1.74 (2)
Ba3—O5	2.796 (15)	Al2—O12	1.74 (4)
Ba3—O10^vi	2.955 (13)	Al2—O12^ii	2.31 (4)
Ba3—O7^vi	3.077 (11)	Al3—O6^vii	1.750 (15)
Ba3—Al2	3.154 (12)	Al3—O6	1.750 (15)
Ba3—Al1	3.183 (14)	Al3—O1	1.85 (3)
Ba3—Al1^vii	3.441 (13)	Al3—O3	1.86 (3)
Ba3—Al2^ii	3.499 (12)	Al4—O9	1.73 (2)
Ba3B—O10^vi	2.651 (11)	Al4—O8^i	1.74 (2)
Ba3B—O7^vi	2.756 (10)	Al4—O5^ix	1.788 (15)
Ba3B—O12^vi	2.76 (3)	Al4—O5^i	1.788 (15)
Ba3B—O6^v	2.763 (14)	O11—O11^ii	1.11 (4)
Ba3B—O5	2.793 (16)	O13—O13^vii	1.13 (4)
Ba3B—O4	2.976 (12)
O11—Ba1—O8	97.2 (6)	Ba3B^i—Al1—Ba3B^xiii	72.1 (3)
O11—Ba1—O9	92.2 (6)	Ba1—Al1—Ba3B^xiii	114.7 (4)
O8—Ba1—O9	64.3 (6)	Ba3^vii—Al1—Ba3B^xiii	100.8 (3)
O11—Ba1—O3	150.1 (7)	Al2^ii—Al2—O11	99.9 (9)
O8—Ba1—O3	85.2 (6)	Al2^ii—Al2—O2	80.1 (4)
O9—Ba1—O3	115.2 (6)	O11—Al2—O2	138.1 (12)
O11—Ba1—O5^i	77.7 (6)	Al2^ii—Al2—O7	80.3 (4)
O8—Ba1—O5^i	121.0 (5)	O11—Al2—O7	119.9 (11)
O9—Ba1—O5^i	57.4 (5)	O2—Al2—O7	101.6 (9)
O3—Ba1—O5^i	126.4 (6)	Al2^ii—Al2—O11^ii	60.8 (8)
O11—Ba1—O5	87.8 (6)	O11—Al2—O11^ii	39.2 (14)
O8—Ba1—O5	57.3 (5)	O2—Al2—O11^ii	123.3 (10)
O9—Ba1—O5	121.0 (5)	O7—Al2—O11^ii	109.5 (10)
O3—Ba1—O5	68.4 (6)	Al2^ii—Al2—O12	167.4 (13)
O5^i—Ba1—O5	165.1 (6)	O11—Al2—O12	68.4 (15)
O11—Ba1—O1	141.9 (7)	O2—Al2—O12	105.2 (13)
O8—Ba1—O1	115.0 (5)	O7—Al2—O12	109.2 (13)
O9—Ba1—O1	84.5 (6)	O11^ii—Al2—O12	107.4 (15)
O3—Ba1—O1	57.8 (7)	Al2^ii—Al2—O12^ii	9.4 (10)
O5^i—Ba1—O1	68.6 (6)	O11—Al2—O12^ii	91.1 (13)
O5—Ba1—O1	126.2 (6)	O2—Al2—O12^ii	84.4 (10)
O11—Ba1—O12	37.6 (8)	O7—Al2—O12^ii	87.6 (10)
O8—Ba1—O12	123.4 (7)	O11^ii—Al2—O12^ii	52.0 (11)
O9—Ba1—O12	126.3 (7)	O12—Al2—O12^ii	158 (2)
O3—Ba1—O12	118.3 (7)	Al2^ii—Al2—Ba3	122.2 (2)
O5^i—Ba1—O12	87.0 (7)	O11—Al2—Ba3	85.1 (9)
O5—Ba1—O12	83.2 (7)	O2—Al2—Ba3	61.5 (6)
O1—Ba1—O12	121.1 (7)	O7—Al2—Ba3	144.8 (6)
O11—Ba1—O4	88.5 (6)	O11^ii—Al2—Ba3	105.4 (8)
O8—Ba1—O4	119.3 (5)	O12—Al2—Ba3	54.2 (12)
O9—Ba1—O4	176.2 (4)	O12^ii—Al2—Ba3	118.5 (10)
O3—Ba1—O4	65.0 (5)	Al2^ii—Al2—Ba3B^i	121.8 (2)
O5^i—Ba1—O4	119.2 (4)	O11—Al2—Ba3B^i	71.0 (9)
O5—Ba1—O4	62.7 (4)	O2—Al2—Ba3B^i	143.8 (8)
O1—Ba1—O4	92.6 (4)	O7—Al2—Ba3B^i	59.9 (4)
O12—Ba1—O4	53.4 (7)	O11^ii—Al2—Ba3B^i	92.8 (8)
O11—Ba1—O10	83.5 (6)	O12—Al2—Ba3B^i	60.1 (12)
O8—Ba1—O10	176.6 (5)	O12^ii—Al2—Ba3B^i	122.1 (10)
O9—Ba1—O10	119.1 (5)	Ba3—Al2—Ba3B^i	114.3 (4)
O3—Ba1—O10	92.6 (4)	Al2^ii—Al2—Ba2^v	123.66 (19)
O5^i—Ba1—O10	62.4 (4)	O11—Al2—Ba2^v	135.6 (10)
O5—Ba1—O10	119.5 (5)	O2—Al2—Ba2^v	65.4 (6)
O1—Ba1—O10	65.7 (5)	O7—Al2—Ba2^v	65.9 (5)
O12—Ba1—O10	55.6 (7)	O11^ii—Al2—Ba2^v	171.3 (9)
O4—Ba1—O10	57.3 (4)	O12—Al2—Ba2^v	68.7 (13)
O11—Ba1—O11^ii	17.4 (7)	O12^ii—Al2—Ba2^v	132.9 (10)
O8—Ba1—O11^ii	81.8 (5)	Ba3—Al2—Ba2^v	78.9 (3)
O9—Ba1—O11^ii	78.1 (5)	Ba3B^i—Al2—Ba2^v	78.5 (3)
O3—Ba1—O11^ii	154.8 (6)	Al2^ii—Al2—Ba3^ii	49.72 (19)
O5^i—Ba1—O11^ii	78.8 (5)	O11—Al2—Ba3^ii	96.7 (9)
O5—Ba1—O11^ii	86.4 (5)	O2—Al2—Ba3^ii	51.4 (6)
O1—Ba1—O11^ii	147.4 (6)	O7—Al2—Ba3^ii	123.2 (5)
O12—Ba1—O11^ii	54.6 (8)	O11^ii—Al2—Ba3^ii	71.9 (8)
O4—Ba1—O11^ii	103.2 (4)	O12—Al2—Ba3^ii	124.9 (12)
O10—Ba1—O11^ii	99.3 (4)	O12^ii—Al2—Ba3^ii	47.0 (9)
O11—Ba1—Al1	68.9 (6)	Ba3—Al2—Ba3^ii	72.5 (3)
O8—Ba1—Al1	144.2 (5)	Ba3B^i—Al2—Ba3^ii	164.7 (4)
O9—Ba1—Al1	145.0 (5)	Ba2^v—Al2—Ba3^ii	116.8 (3)
O3—Ba1—Al1	91.9 (4)	Al2^ii—Al2—Ba3B^ix	50.12 (19)
O5^i—Ba1—Al1	89.1 (3)	O11—Al2—Ba3B^ix	84.2 (9)
O5—Ba1—Al1	88.5 (4)	O2—Al2—Ba3B^ix	122.5 (6)
O1—Ba1—Al1	92.7 (4)	O7—Al2—Ba3B^ix	50.1 (4)
O12—Ba1—Al1	31.9 (7)	O11^ii—Al2—Ba3B^ix	59.9 (8)
O4—Ba1—Al1	32.4 (3)	O12—Al2—Ba3B^ix	129.8 (12)
O10—Ba1—Al1	33.1 (4)	O12^ii—Al2—Ba3B^ix	51.5 (9)
O11^ii—Ba1—Al1	86.2 (4)	Ba3—Al2—Ba3B^ix	165.1 (4)
O13^iii—Ba2—O1	96.7 (6)	Ba3B^i—Al2—Ba3B^ix	71.7 (3)
O13^iii—Ba2—O3^i	92.1 (6)	Ba2^v—Al2—Ba3B^ix	116.0 (3)
O1—Ba2—O3^i	63.4 (7)	Ba3^ii—Al2—Ba3B^ix	98.5 (3)
O13^iii—Ba2—O2^iii	89.5 (6)	O6^vii—Al3—O6	132.1 (10)
O1—Ba2—O2^iii	121.4 (6)	O6^vii—Al3—O1	104.5 (6)
O3^i—Ba2—O2^iii	174.7 (6)	O6—Al3—O1	104.5 (6)
O13^iii—Ba2—O7^iii	84.8 (6)	O6^vii—Al3—O3	105.4 (6)
O1—Ba2—O7^iii	175.0 (5)	O6—Al3—O3	105.4 (6)
O3^i—Ba2—O7^iii	121.4 (5)	O1—Al3—O3	101.3 (12)
O2^iii—Ba2—O7^iii	53.8 (4)	O6^vii—Al3—Ba1	151.2 (5)
O13^iii—Ba2—O9	150.7 (7)	O6—Al3—Ba1	76.8 (5)
O1—Ba2—O9	85.0 (6)	O1—Al3—Ba1	60.0 (6)
O3^i—Ba2—O9	114.2 (6)	O3—Al3—Ba1	59.4 (6)
O2^iii—Ba2—O9	65.4 (5)	O6^vii—Al3—Ba1^vii	76.8 (5)
O7^iii—Ba2—O9	91.4 (3)	O6—Al3—Ba1^vii	151.2 (5)
O13^iii—Ba2—O8^i	142.5 (7)	O1—Al3—Ba1^vii	60.0 (6)
O1—Ba2—O8^i	114.5 (5)	O3—Al3—Ba1^vii	59.4 (6)
O3^i—Ba2—O8^i	84.3 (6)	Ba1—Al3—Ba1^vii	74.40 (14)
O2^iii—Ba2—O8^i	91.3 (3)	O6^vii—Al3—Ba2^x	58.0 (6)
O7^iii—Ba2—O8^i	66.0 (4)	O6—Al3—Ba2^x	116.5 (6)
O9—Ba2—O8^i	57.5 (6)	O1—Al3—Ba2^x	136.5 (5)
O13^iii—Ba2—O6	86.9 (6)	O3—Al3—Ba2^x	55.3 (6)
O1—Ba2—O6	58.2 (6)	Ba1—Al3—Ba2^x	114.6 (2)
O3^i—Ba2—O6	121.1 (6)	Ba1^vii—Al3—Ba2^x	76.72 (12)
O2^iii—Ba2—O6	64.0 (4)	O6^vii—Al3—Ba2^vi	116.5 (6)
O7^iii—Ba2—O6	117.2 (3)	O6—Al3—Ba2^vi	58.0 (6)
O9—Ba2—O6	69.1 (5)	O1—Al3—Ba2^vi	136.5 (5)
O8^i—Ba2—O6	126.6 (5)	O3—Al3—Ba2^vi	55.3 (6)
O13^iii—Ba2—O6^i	77.2 (6)	Ba1—Al3—Ba2^vi	76.72 (12)
O1—Ba2—O6^i	121.2 (5)	Ba1^vii—Al3—Ba2^vi	114.6 (2)
O3^i—Ba2—O6^i	58.5 (6)	Ba2^x—Al3—Ba2^vi	64.50 (15)
O2^iii—Ba2—O6^i	117.1 (5)	O6^vii—Al3—Ba2^vii	57.5 (6)
O7^iii—Ba2—O6^i	63.8 (3)	O6—Al3—Ba2^vii	115.8 (6)
O9—Ba2—O6^i	126.6 (5)	O1—Al3—Ba2^vii	54.4 (6)
O8^i—Ba2—O6^i	69.1 (5)	O3—Al3—Ba2^vii	135.8 (6)
O6—Ba2—O6^i	164.0 (6)	Ba1—Al3—Ba2^vii	114.3 (2)
O13^iii—Ba2—O12^iii	37.0 (8)	Ba1^vii—Al3—Ba2^vii	76.57 (12)
O1—Ba2—O12^iii	122.8 (8)	Ba2^x—Al3—Ba2^vii	113.96 (5)
O3^i—Ba2—O12^iii	125.9 (8)	Ba2^vi—Al3—Ba2^vii	166.9 (2)
O2^iii—Ba2—O12^iii	54.5 (7)	O6^vii—Al3—Ba2	115.8 (6)
O7^iii—Ba2—O12^iii	56.4 (6)	O6—Al3—Ba2	57.5 (6)
O9—Ba2—O12^iii	119.8 (7)	O1—Al3—Ba2	54.4 (6)
O8^i—Ba2—O12^iii	122.3 (7)	O3—Al3—Ba2	135.8 (6)
O6—Ba2—O12^iii	82.3 (7)	Ba1—Al3—Ba2	76.57 (12)
O6^i—Ba2—O12^iii	86.1 (7)	Ba1^vii—Al3—Ba2	114.3 (2)
O13^iii—Ba2—O13^iv	17.4 (7)	Ba2^x—Al3—Ba2	166.9 (2)
O1—Ba2—O13^iv	81.3 (5)	Ba2^vi—Al3—Ba2	113.96 (5)
O3^i—Ba2—O13^iv	77.9 (5)	Ba2^vii—Al3—Ba2	64.28 (15)
O2^iii—Ba2—O13^iv	104.5 (5)	O9—Al4—O8^i	110.8 (10)
O7^iii—Ba2—O13^iv	100.9 (4)	O9—Al4—O5^ix	105.8 (7)
O9—Ba2—O13^iv	154.8 (5)	O8^i—Al4—O5^ix	105.2 (7)
O8^i—Ba2—O13^iv	147.6 (6)	O9—Al4—O5^i	105.8 (7)
O6—Ba2—O13^iv	85.8 (5)	O8^i—Al4—O5^i	105.2 (7)
O6^i—Ba2—O13^iv	78.5 (5)	O5^ix—Al4—O5^i	123.7 (10)
O12^iii—Ba2—O13^iv	54.1 (7)	O9—Al4—Ba2	63.5 (5)
O13^iii—Ba2—Al2^iii	68.7 (6)	O8^i—Al4—Ba2	64.0 (5)
O1—Ba2—Al2^iii	144.2 (5)	O5^ix—Al4—Ba2	156.9 (5)
O3^i—Ba2—Al2^iii	145.3 (6)	O5^i—Al4—Ba2	79.4 (5)
O2^iii—Ba2—Al2^iii	31.8 (4)	O9—Al4—Ba2^ii	63.5 (5)
O7^iii—Ba2—Al2^iii	32.4 (3)	O8^i—Al4—Ba2^ii	64.0 (5)
O9—Ba2—Al2^iii	93.0 (3)	O5^ix—Al4—Ba2^ii	79.4 (5)
O8^i—Ba2—Al2^iii	93.7 (4)	O5^i—Al4—Ba2^ii	156.9 (5)
O6—Ba2—Al2^iii	87.7 (3)	Ba2—Al4—Ba2^ii	77.54 (17)
O6^i—Ba2—Al2^iii	88.4 (4)	O9—Al4—Ba1	54.0 (5)
O12^iii—Ba2—Al2^iii	32.3 (7)	O8^i—Al4—Ba1	141.5 (4)
O13^iv—Ba2—Al2^iii	86.1 (4)	O5^ix—Al4—Ba1	112.9 (6)
Ba3B—Ba3—O12	179.8 (10)	O5^i—Al4—Ba1	57.3 (6)
Ba3B—Ba3—O4	117.0 (5)	Ba2—Al4—Ba1	78.47 (12)
O12—Ba3—O4	62.8 (8)	Ba2^ii—Al4—Ba1	117.3 (2)
Ba3B—Ba3—O6^v	84.3 (5)	O9—Al4—Ba1^ii	54.0 (5)
O12—Ba3—O6^v	95.9 (10)	O8^i—Al4—Ba1^ii	141.5 (4)
O4—Ba3—O6^v	116.3 (4)	O5^ix—Al4—Ba1^ii	57.3 (6)
Ba3B—Ba3—O2	118.8 (5)	O5^i—Al4—Ba1^ii	112.9 (6)
O12—Ba3—O2	61.3 (9)	Ba2—Al4—Ba1^ii	117.3 (2)
O4—Ba3—O2	124.1 (5)	Ba2^ii—Al4—Ba1^ii	78.47 (12)
O6^v—Ba3—O2	68.9 (5)	Ba1—Al4—Ba1^ii	63.53 (14)
Ba3B—Ba3—O5	83.8 (5)	O9—Al4—Ba1^ix	141.0 (4)
O12—Ba3—O5	96.1 (9)	O8^i—Al4—Ba1^ix	53.0 (5)
O4—Ba3—O5	70.0 (4)	O5^ix—Al4—Ba1^ix	57.3 (6)
O6^v—Ba3—O5	168.0 (7)	O5^i—Al4—Ba1^ix	112.6 (6)
O2—Ba3—O5	117.1 (5)	Ba2—Al4—Ba1^ix	116.9 (2)
Ba3B—Ba3—O10^vi	53.4 (5)	Ba2^ii—Al4—Ba1^ix	78.26 (12)
O12—Ba3—O10^vi	126.4 (9)	Ba1—Al4—Ba1^ix	161.2 (3)
O4—Ba3—O10^vi	63.6 (4)	Ba1^ii—Al4—Ba1^ix	113.25 (6)
O6^v—Ba3—O10^vi	106.9 (5)	O9—Al4—Ba1^i	141.0 (4)
O2—Ba3—O10^vi	172.1 (7)	O8^i—Al4—Ba1^i	53.0 (5)
O5—Ba3—O10^vi	65.8 (4)	O5^ix—Al4—Ba1^i	112.6 (6)
Ba3B—Ba3—O7^vi	51.8 (4)	O5^i—Al4—Ba1^i	57.3 (6)
O12—Ba3—O7^vi	128.4 (8)	Ba2—Al4—Ba1^i	78.26 (12)
O4—Ba3—O7^vi	168.7 (4)	Ba2^ii—Al4—Ba1^i	116.9 (2)
O6^v—Ba3—O7^vi	64.7 (4)	Ba1—Al4—Ba1^i	113.25 (6)
O2—Ba3—O7^vi	67.1 (4)	Ba1^ii—Al4—Ba1^i	161.2 (3)
O5—Ba3—O7^vi	107.1 (4)	Ba1^ix—Al4—Ba1^i	63.23 (14)
O10^vi—Ba3—O7^vi	105.1 (4)	Al3—O1—Y1^i	171.2 (14)
Ba3B—Ba3—Al2	146.8 (4)	Al3—O1—Ba2^vii	94.1 (7)
O12—Ba3—Al2	33.4 (8)	Y1^i—O1—Ba2^vii	92.6 (8)
O4—Ba3—Al2	94.1 (4)	Al3—O1—Ba2	94.1 (7)
O6^v—Ba3—Al2	92.4 (4)	Y1^i—O1—Ba2	92.6 (8)
O2—Ba3—Al2	32.5 (5)	Ba2^vii—O1—Ba2	81.5 (7)
O5—Ba3—Al2	97.4 (4)	Al3—O1—Ba1	87.5 (8)
O10^vi—Ba3—Al2	155.2 (4)	Y1^i—O1—Ba1	86.2 (6)
O7^vi—Ba3—Al2	97.1 (3)	Ba2^vii—O1—Ba1	176.3 (8)
Ba3B—Ba3—Al1	146.4 (5)	Ba2—O1—Ba1	94.99 (5)
O12—Ba3—Al1	33.5 (8)	Al3—O1—Ba1^vii	87.5 (8)
O4—Ba3—Al1	34.3 (3)	Y1^i—O1—Ba1^vii	86.2 (6)
O6^v—Ba3—Al1	95.8 (4)	Ba2^vii—O1—Ba1^vii	94.99 (5)
O2—Ba3—Al1	92.0 (5)	Ba2—O1—Ba1^vii	176.3 (8)
O5—Ba3—Al1	94.4 (4)	Ba1—O1—Ba1^vii	88.5 (7)
O10^vi—Ba3—Al1	95.2 (4)	Al2—O2—Al2^ii	19.7 (8)
O7^vi—Ba3—Al1	155.0 (3)	Al2—O2—Y2^v	169.1 (6)
Al2—Ba3—Al1	66.9 (3)	Al2^ii—O2—Y2^v	169.1 (6)
Ba3B—Ba3—Al1^vii	140.4 (5)	Al2—O2—Ba3^ii	100.0 (8)
O12—Ba3—Al1^vii	39.5 (8)	Al2^ii—O2—Ba3^ii	86.0 (6)
O4—Ba3—Al1^vii	30.9 (3)	Y2^v—O2—Ba3^ii	90.2 (6)
O6^v—Ba3—Al1^vii	94.4 (4)	Al2—O2—Ba3	86.0 (6)
O2—Ba3—Al1^vii	97.0 (4)	Al2^ii—O2—Ba3	100.0 (8)
O5—Ba3—Al1^vii	95.1 (4)	Y2^v—O2—Ba3	90.2 (6)
O10^vi—Ba3—Al1^vii	90.0 (4)	Ba3^ii—O2—Ba3	90.4 (6)
O7^vi—Ba3—Al1^vii	156.8 (3)	Al2—O2—Ba2^xiv	96.7 (8)
Al2—Ba3—Al1^vii	72.8 (4)	Al2^ii—O2—Ba2^xiv	82.8 (7)
Al1—Ba3—Al1^vii	6.1 (4)	Y2^v—O2—Ba2^xiv	87.0 (5)
Ba3B—Ba3—Al2^ii	138.9 (4)	Ba3^ii—O2—Ba2^xiv	89.95 (7)
O12—Ba3—Al2^ii	41.3 (8)	Ba3—O2—Ba2^xiv	177.2 (8)
O4—Ba3—Al2^ii	100.8 (4)	Al2—O2—Ba2^v	82.8 (7)
O6^v—Ba3—Al2^ii	93.4 (4)	Al2^ii—O2—Ba2^v	96.7 (8)
O2—Ba3—Al2^ii	28.6 (4)	Y2^v—O2—Ba2^v	87.0 (5)
O5—Ba3—Al2^ii	95.3 (4)	Ba3^ii—O2—Ba2^v	177.2 (8)
O10^vi—Ba3—Al2^ii	158.2 (4)	Ba3—O2—Ba2^v	89.95 (7)
O7^vi—Ba3—Al2^ii	90.3 (2)	Ba2^xiv—O2—Ba2^v	89.5 (5)
Al2—Ba3—Al2^ii	8.1 (3)	Al2—O2—Ba3B^ii	107.4 (8)
Al1—Ba3—Al2^ii	74.8 (4)	Al2^ii—O2—Ba3B^ii	94.7 (7)
Al1^vii—Ba3—Al2^ii	80.7 (3)	Y2^v—O2—Ba3B^ii	82.4 (5)
Ba3—Ba3B—O10^vi	116.5 (5)	Ba3^ii—O2—Ba3B^ii	9.43 (9)
Ba3—Ba3B—O7^vi	118.7 (4)	Ba3—O2—Ba3B^ii	85.1 (5)
O10^vi—Ba3B—O7^vi	124.8 (5)	Ba2^xiv—O2—Ba3B^ii	94.84 (10)
Ba3—Ba3B—O12^vi	179.4 (9)	Ba2^v—O2—Ba3B^ii	168.3 (7)
O10^vi—Ba3B—O12^vi	63.2 (8)	Al2—O2—Ba3B	94.7 (7)
O7^vi—Ba3B—O12^vi	61.6 (8)	Al2^ii—O2—Ba3B	107.4 (8)
Ba3—Ba3B—O6^v	83.7 (5)	Y2^v—O2—Ba3B	82.4 (5)
O10^vi—Ba3B—O6^v	116.1 (5)	Ba3^ii—O2—Ba3B	85.1 (5)
O7^vi—Ba3B—O6^v	69.2 (4)	Ba3—O2—Ba3B	9.43 (9)
O12^vi—Ba3B—O6^v	96.0 (8)	Ba2^xiv—O2—Ba3B	168.3 (7)
Ba3—Ba3B—O5	84.3 (5)	Ba2^v—O2—Ba3B	94.84 (10)
O10^vi—Ba3B—O5	70.1 (5)	Ba3B^ii—O2—Ba3B	78.9 (5)
O7^vi—Ba3B—O5	116.8 (4)	Al3—O3—Y1	173.1 (15)
O12^vi—Ba3B—O5	96.0 (9)	Al3—O3—Ba2^x	92.7 (8)
O6^v—Ba3B—O5	168.0 (7)	Y1—O3—Ba2^x	92.5 (8)
Ba3—Ba3B—O4	53.0 (4)	Al3—O3—Ba2^vi	92.7 (8)
O10^vi—Ba3B—O4	63.5 (4)	Y1—O3—Ba2^vi	92.5 (8)
O7^vi—Ba3B—O4	171.6 (4)	Ba2^x—O3—Ba2^vi	80.8 (7)
O12^vi—Ba3B—O4	126.7 (8)	Al3—O3—Ba1	87.9 (8)
O6^v—Ba3B—O4	106.8 (4)	Y1—O3—Ba1	87.2 (6)
O5—Ba3B—O4	65.8 (4)	Ba2^x—O3—Ba1	175.8 (7)
Ba3—Ba3B—O11^vi	144.0 (6)	Ba2^vi—O3—Ba1	94.98 (5)
O10^vi—Ba3B—O11^vi	78.4 (5)	Al3—O3—Ba1^vii	87.9 (8)
O7^vi—Ba3B—O11^vi	58.1 (4)	Y1—O3—Ba1^vii	87.2 (6)
O12^vi—Ba3B—O11^vi	36.6 (8)	Ba2^x—O3—Ba1^vii	94.98 (5)
O6^v—Ba3B—O11^vi	120.8 (6)	Ba2^vi—O3—Ba1^vii	175.8 (7)
O5—Ba3B—O11^vi	69.7 (6)	Ba1—O3—Ba1^vii	89.2 (7)
O4—Ba3B—O11^vi	128.7 (5)	Al1—O4—Al1^vii	13.9 (9)
Ba3—Ba3B—O13^vi	143.3 (5)	Al1—O4—Y1	167.2 (8)
O10^vi—Ba3B—O13^vi	59.1 (6)	Al1^vii—O4—Y1	167.2 (8)
O7^vi—Ba3B—O13^vi	75.5 (5)	Al1—O4—Ba3	88.8 (5)
O12^vi—Ba3B—O13^vi	36.1 (8)	Al1^vii—O4—Ba3	99.1 (6)
O6^v—Ba3B—O13^vi	69.7 (5)	Y1—O4—Ba3	93.3 (4)
O5—Ba3B—O13^vi	121.1 (6)	Al1—O4—Ba3^vii	99.1 (6)
O4—Ba3B—O13^vi	110.4 (5)	Al1^vii—O4—Ba3^vii	88.8 (5)
O11^vi—Ba3B—O13^vi	72.7 (5)	Y1—O4—Ba3^vii	93.3 (4)
Ba3—Ba3B—O2	51.7 (5)	Ba3—O4—Ba3^vii	95.0 (5)
O10^vi—Ba3B—O2	168.1 (6)	Al1—O4—Ba3B^vii	107.4 (6)
O7^vi—Ba3B—O2	67.0 (4)	Al1^vii—O4—Ba3B^vii	97.9 (6)
O12^vi—Ba3B—O2	128.6 (8)	Y1—O4—Ba3B^vii	85.3 (4)
O6^v—Ba3B—O2	64.3 (5)	Ba3—O4—Ba3B^vii	89.4 (4)
O5—Ba3B—O2	107.5 (5)	Ba3^vii—O4—Ba3B^vii	10.00 (8)
O4—Ba3B—O2	104.7 (4)	Al1—O4—Ba3B	97.9 (6)
O11^vi—Ba3B—O2	112.1 (5)	Al1^vii—O4—Ba3B	107.4 (6)
O13^vi—Ba3B—O2	128.2 (5)	Y1—O4—Ba3B	85.3 (4)
Ba3—Ba3B—O12	0.2 (8)	Ba3—O4—Ba3B	10.00 (8)
O10^vi—Ba3B—O12	116.3 (8)	Ba3^vii—O4—Ba3B	89.4 (4)
O7^vi—Ba3B—O12	118.9 (7)	Ba3B^vii—O4—Ba3B	82.8 (4)
O12^vi—Ba3B—O12	179.3 (13)	Al1—O4—Ba1^vii	91.4 (6)
O6^v—Ba3B—O12	83.8 (8)	Al1^vii—O4—Ba1^vii	81.9 (6)
O5—Ba3B—O12	84.2 (7)	Y1—O4—Ba1^vii	85.5 (3)
O4—Ba3B—O12	52.8 (7)	Ba3—O4—Ba1^vii	175.5 (4)
O11^vi—Ba3B—O12	144.0 (8)	Ba3^vii—O4—Ba1^vii	89.39 (9)
O13^vi—Ba3B—O12	143.3 (8)	Ba3B^vii—O4—Ba1^vii	94.74 (8)
O2—Ba3B—O12	51.9 (7)	Ba3B—O4—Ba1^vii	170.6 (5)
Ba3—Ba3B—Al2^vi	147.5 (4)	Al1—O4—Ba1	81.9 (6)
O10^vi—Ba3B—Al2^vi	94.2 (4)	Al1^vii—O4—Ba1	91.4 (6)
O7^vi—Ba3B—Al2^vi	32.9 (3)	Y1—O4—Ba1	85.5 (3)
O12^vi—Ba3B—Al2^vi	33.0 (7)	Ba3—O4—Ba1	89.39 (9)
O6^v—Ba3B—Al2^vi	92.6 (4)	Ba3^vii—O4—Ba1	175.5 (4)
O5—Ba3B—Al2^vi	97.3 (4)	Ba3B^vii—O4—Ba1	170.6 (5)
O4—Ba3B—Al2^vi	155.1 (3)	Ba3B—O4—Ba1	94.74 (8)
O11^vi—Ba3B—Al2^vi	28.5 (4)	Ba1^vii—O4—Ba1	86.2 (4)
O13^vi—Ba3B—Al2^vi	61.4 (5)	Al4^vi—O5—Y1	147.1 (8)
O2—Ba3B—Al2^vi	97.7 (4)	Al4^vi—O5—Ba3B	126.0 (7)
O12—Ba3B—Al2^vi	147.6 (7)	Y1—O5—Ba3B	86.6 (5)
O10^vi—Y1—O4	85.2 (6)	Al4^vi—O5—Ba3	126.1 (7)
O10^vi—Y1—O3	179.0 (9)	Y1—O5—Ba3	86.6 (5)
O4—Y1—O3	93.8 (8)	Ba3B—O5—Ba3	11.91 (7)
O10^vi—Y1—O1^vi	95.4 (8)	Al4^vi—O5—Ba1^vi	92.2 (7)
O4—Y1—O1^vi	179.4 (8)	Y1—O5—Ba1^vi	84.2 (5)
O3—Y1—O1^vi	85.6 (10)	Ba3B—O5—Ba1^vi	88.5 (5)
O10^vi—Y1—O5^vii	86.5 (4)	Ba3—O5—Ba1^vi	100.3 (5)
O4—Y1—O5^vii	86.6 (4)	Al4^vi—O5—Ba1	92.4 (7)
O3—Y1—O5^vii	93.5 (4)	Y1—O5—Ba1	84.2 (5)
O1^vi—Y1—O5^vii	93.4 (4)	Ba3B—O5—Ba1	100.2 (5)
O10^vi—Y1—O5	86.5 (4)	Ba3—O5—Ba1	88.3 (5)
O4—Y1—O5	86.6 (4)	Ba1^vi—O5—Ba1	165.1 (6)
O3—Y1—O5	93.5 (4)	Al3—O6—Y2	149.6 (8)
O1^vi—Y1—O5	93.5 (4)	Al3—O6—Ba3^iii	121.5 (7)
O5^vii—Y1—O5	170.6 (8)	Y2—O6—Ba3^iii	88.7 (5)
O10^vi—Y1—Ba3B^vii	48.1 (3)	Al3—O6—Ba3B^iii	121.5 (7)
O4—Y1—Ba3B^vii	56.6 (3)	Y2—O6—Ba3B^iii	88.6 (5)
O3—Y1—Ba3B^vii	131.3 (5)	Ba3^iii—O6—Ba3B^iii	12.05 (7)
O1^vi—Y1—Ba3B^vii	123.9 (5)	Al3—O6—Ba2	92.8 (7)
O5^vii—Y1—Ba3B^vii	51.7 (4)	Y2—O6—Ba2	84.2 (5)
O5—Y1—Ba3B^vii	118.9 (4)	Ba3^iii—O6—Ba2	89.3 (5)
O10^vi—Y1—Ba3B	48.1 (3)	Ba3B^iii—O6—Ba2	101.3 (5)
O4—Y1—Ba3B	56.6 (3)	Al3—O6—Ba2^vi	92.1 (7)
O3—Y1—Ba3B	131.3 (5)	Y2—O6—Ba2^vi	83.9 (5)
O1^vi—Y1—Ba3B	123.9 (5)	Ba3^iii—O6—Ba2^vi	101.1 (5)
O5^vii—Y1—Ba3B	118.9 (4)	Ba3B^iii—O6—Ba2^vi	89.1 (5)
O5—Y1—Ba3B	51.7 (4)	Ba2—O6—Ba2^vi	164.0 (6)
Ba3B^vii—Y1—Ba3B	67.26 (17)	Al2—O7—Al2^ii	19.4 (7)
O10^vi—Y1—Ba3	56.0 (3)	Al2—O7—Y2^xv	168.0 (6)
O4—Y1—Ba3	48.5 (3)	Al2^ii—O7—Y2^xv	168.0 (6)
O3—Y1—Ba3	123.2 (5)	Al2—O7—Ba3B^i	87.2 (5)
O1^vi—Y1—Ba3	131.9 (5)	Al2^ii—O7—Ba3B^i	101.1 (6)
O5^vii—Y1—Ba3	118.9 (4)	Y2^xv—O7—Ba3B^i	90.8 (3)
O5—Y1—Ba3	51.7 (4)	Al2—O7—Ba3B^ix	101.1 (6)
Ba3B^vii—Y1—Ba3	68.03 (15)	Al2^ii—O7—Ba3B^ix	87.2 (5)
Ba3B—Y1—Ba3	9.36 (3)	Y2^xv—O7—Ba3B^ix	90.8 (3)
O10^vi—Y1—Ba3^vii	56.0 (3)	Ba3B^i—O7—Ba3B^ix	91.2 (4)
O4—Y1—Ba3^vii	48.5 (3)	Al2—O7—Ba2^xiv	95.2 (5)
O3—Y1—Ba3^vii	123.2 (5)	Al2^ii—O7—Ba2^xiv	81.7 (5)
O1^vi—Y1—Ba3^vii	131.9 (5)	Y2^xv—O7—Ba2^xiv	86.4 (3)
O5^vii—Y1—Ba3^vii	51.7 (4)	Ba3B^i—O7—Ba2^xiv	177.0 (4)
O5—Y1—Ba3^vii	118.9 (4)	Ba3B^ix—O7—Ba2^xiv	89.94 (8)
Ba3B^vii—Y1—Ba3^vii	9.36 (3)	Al2—O7—Ba2^v	81.7 (5)
Ba3B—Y1—Ba3^vii	68.03 (15)	Al2^ii—O7—Ba2^v	95.2 (5)
Ba3—Y1—Ba3^vii	67.16 (16)	Y2^xv—O7—Ba2^v	86.4 (3)
O10^vi—Y1—Ba1^x	57.7 (3)	Ba3B^i—O7—Ba2^v	89.94 (8)
O4—Y1—Ba1^x	124.9 (3)	Ba3B^ix—O7—Ba2^v	177.0 (4)
O3—Y1—Ba1^x	123.0 (5)	Ba2^xiv—O7—Ba2^v	88.8 (4)
O1^vi—Y1—Ba1^x	55.6 (5)	Al2—O7—Ba3^ix	108.7 (6)
O5^vii—Y1—Ba1^x	55.0 (4)	Al2^ii—O7—Ba3^ix	96.0 (5)
O5—Y1—Ba1^x	125.1 (5)	Y2^xv—O7—Ba3^ix	83.0 (3)
Ba3B^vii—Y1—Ba1^x	68.35 (11)	Ba3B^i—O7—Ba3^ix	85.9 (4)
Ba3B—Y1—Ba1^x	105.64 (18)	Ba3B^ix—O7—Ba3^ix	9.51 (7)
Ba3—Y1—Ba1^x	113.74 (18)	Ba2^xiv—O7—Ba3^ix	94.81 (8)
Ba3^vii—Y1—Ba1^x	76.39 (11)	Ba2^v—O7—Ba3^ix	168.6 (4)
O10^vi—Y1—Ba1^vi	57.7 (3)	Al2—O7—Ba3^i	96.0 (5)
O4—Y1—Ba1^vi	124.9 (3)	Al2^ii—O7—Ba3^i	108.7 (6)
O3—Y1—Ba1^vi	123.0 (5)	Y2^xv—O7—Ba3^i	83.0 (3)
O1^vi—Y1—Ba1^vi	55.6 (5)	Ba3B^i—O7—Ba3^i	9.51 (7)
O5^vii—Y1—Ba1^vi	125.1 (5)	Ba3B^ix—O7—Ba3^i	85.9 (4)
O5—Y1—Ba1^vi	55.0 (4)	Ba2^xiv—O7—Ba3^i	168.6 (4)
Ba3B^vii—Y1—Ba1^vi	105.64 (18)	Ba2^v—O7—Ba3^i	94.81 (8)
Ba3B—Y1—Ba1^vi	68.35 (11)	Ba3^ix—O7—Ba3^i	79.7 (3)
Ba3—Y1—Ba1^vi	76.39 (11)	Al4^vi—O8—Y2	166.7 (12)
Ba3^vii—Y1—Ba1^vi	113.74 (18)	Al4^vi—O8—Ba1	97.9 (7)
Ba1^x—Y1—Ba1^vi	70.42 (11)	Y2—O8—Ba1	92.1 (6)
O9—Y2—O8	86.1 (8)	Al4^vi—O8—Ba1^ii	97.9 (7)
O9—Y2—O7^viii	177.9 (7)	Y2—O8—Ba1^ii	92.1 (6)
O8—Y2—O7^viii	91.7 (7)	Ba1—O8—Ba1^ii	81.1 (5)
O9—Y2—O2^iii	90.2 (8)	Al4^vi—O8—Ba2^vi	84.4 (7)
O8—Y2—O2^iii	176.4 (8)	Y2—O8—Ba2^vi	86.1 (5)
O7^viii—Y2—O2^iii	91.9 (6)	Ba1—O8—Ba2^vi	95.53 (5)
O9—Y2—O6^ii	94.5 (4)	Ba1^ii—O8—Ba2^vi	176.1 (6)
O8—Y2—O6^ii	94.8 (4)	Al4^vi—O8—Ba2^xii	84.4 (7)
O7^viii—Y2—O6^ii	85.7 (4)	Y2—O8—Ba2^xii	86.1 (5)
O2^iii—Y2—O6^ii	85.5 (4)	Ba1—O8—Ba2^xii	176.1 (6)
O9—Y2—O6	94.5 (4)	Ba1^ii—O8—Ba2^xii	95.53 (5)
O8—Y2—O6	94.8 (4)	Ba2^vi—O8—Ba2^xii	87.8 (5)
O7^viii—Y2—O6	85.7 (4)	Al4—O9—Y2	168.6 (12)
O2^iii—Y2—O6	85.5 (4)	Al4—O9—Ba1	96.8 (6)
O6^ii—Y2—O6	167.2 (7)	Y2—O9—Ba1	91.9 (6)
O9—Y2—Ba3B^iii	131.3 (4)	Al4—O9—Ba1^ii	96.8 (6)
O8—Y2—Ba3B^iii	123.8 (4)	Y2—O9—Ba1^ii	91.9 (6)
O7^viii—Y2—Ba3B^iii	50.2 (3)	Ba1—O9—Ba1^ii	80.5 (5)
O2^iii—Y2—Ba3B^iii	58.9 (4)	Al4—O9—Ba2^ii	84.9 (7)
O6^ii—Y2—Ba3B^iii	117.0 (4)	Y2—O9—Ba2^ii	86.9 (5)
O6—Y2—Ba3B^iii	50.4 (3)	Ba1—O9—Ba2^ii	175.8 (6)
O9—Y2—Ba3B^xi	131.3 (4)	Ba1^ii—O9—Ba2^ii	95.53 (5)
O8—Y2—Ba3B^xi	123.8 (4)	Al4—O9—Ba2	84.9 (7)
O7^viii—Y2—Ba3B^xi	50.2 (3)	Y2—O9—Ba2	86.9 (5)
O2^iii—Y2—Ba3B^xi	58.9 (4)	Ba1—O9—Ba2	95.53 (5)
O6^ii—Y2—Ba3B^xi	50.4 (3)	Ba1^ii—O9—Ba2	175.8 (6)
O6—Y2—Ba3B^xi	117.0 (4)	Ba2^ii—O9—Ba2	88.4 (6)
Ba3B^iii—Y2—Ba3B^xi	66.59 (16)	Al1^vii—O10—Al1	13.6 (9)
O9—Y2—Ba3^iii	123.2 (5)	Al1^vii—O10—Y1^i	165.4 (9)
O8—Y2—Ba3^iii	131.8 (4)	Al1—O10—Y1^i	165.4 (9)
O7^viii—Y2—Ba3^iii	58.4 (3)	Al1^vii—O10—Ba3B^i	99.8 (7)
O2^iii—Y2—Ba3^iii	50.7 (4)	Al1—O10—Ba3B^i	89.6 (6)
O6^ii—Y2—Ba3^iii	117.0 (4)	Y1^i—O10—Ba3B^i	94.0 (5)
O6—Y2—Ba3^iii	50.3 (3)	Al1^vii—O10—Ba3B^xiii	89.6 (6)
Ba3B^iii—Y2—Ba3^iii	9.27 (3)	Al1—O10—Ba3B^xiii	99.8 (7)
Ba3B^xi—Y2—Ba3^iii	67.44 (15)	Y1^i—O10—Ba3B^xiii	94.0 (5)
O9—Y2—Ba3^xi	123.2 (5)	Ba3B^i—O10—Ba3B^xiii	95.9 (5)
O8—Y2—Ba3^xi	131.8 (4)	Al1^vii—O10—Ba3^i	108.2 (7)
O7^viii—Y2—Ba3^xi	58.4 (3)	Al1—O10—Ba3^i	98.9 (6)
O2^iii—Y2—Ba3^xi	50.7 (4)	Y1^i—O10—Ba3^i	86.0 (5)
O6^ii—Y2—Ba3^xi	50.3 (3)	Ba3B^i—O10—Ba3^i	10.12 (9)
O6—Y2—Ba3^xi	117.0 (4)	Ba3B^xiii—O10—Ba3^i	90.2 (5)
Ba3B^iii—Y2—Ba3^xi	67.44 (15)	Al1^vii—O10—Ba3^xiii	98.9 (6)
Ba3B^xi—Y2—Ba3^xi	9.27 (3)	Al1—O10—Ba3^xiii	108.2 (7)
Ba3^iii—Y2—Ba3^xi	66.67 (16)	Y1^i—O10—Ba3^xiii	86.0 (5)
O9—Y2—Ba2^vi	123.6 (4)	Ba3B^i—O10—Ba3^xiii	90.2 (5)
O8—Y2—Ba2^vi	55.6 (4)	Ba3B^xiii—O10—Ba3^xiii	10.12 (9)
O7^viii—Y2—Ba2^vi	54.9 (3)	Ba3^i—O10—Ba3^xiii	83.4 (5)
O2^iii—Y2—Ba2^vi	127.0 (4)	Al1^vii—O10—Ba1^vii	80.8 (6)
O6^ii—Y2—Ba2^vi	125.0 (5)	Al1—O10—Ba1^vii	90.1 (7)
O6—Y2—Ba2^vi	55.5 (4)	Y1^i—O10—Ba1^vii	85.0 (4)
Ba3B^iii—Y2—Ba2^vi	68.31 (10)	Ba3B^i—O10—Ba1^vii	174.8 (5)
Ba3B^xi—Y2—Ba2^vi	105.06 (16)	Ba3B^xiii—O10—Ba1^vii	89.24 (9)
Ba3^iii—Y2—Ba2^vi	76.26 (10)	Ba3^i—O10—Ba1^vii	171.0 (7)
Ba3^xi—Y2—Ba2^vi	113.11 (17)	Ba3^xiii—O10—Ba1^vii	94.79 (9)
O9—Y2—Ba2^xii	123.6 (4)	Al1^vii—O10—Ba1	90.1 (7)
O8—Y2—Ba2^xii	55.6 (4)	Al1—O10—Ba1	80.8 (6)
O7^viii—Y2—Ba2^xii	54.9 (3)	Y1^i—O10—Ba1	85.0 (4)
O2^iii—Y2—Ba2^xii	127.0 (4)	Ba3B^i—O10—Ba1	89.24 (9)
O6^ii—Y2—Ba2^xii	55.5 (4)	Ba3B^xiii—O10—Ba1	174.8 (5)
O6—Y2—Ba2^xii	125.0 (5)	Ba3^i—O10—Ba1	94.79 (9)
Ba3B^iii—Y2—Ba2^xii	105.06 (16)	Ba3^xiii—O10—Ba1	171.0 (7)
Ba3B^xi—Y2—Ba2^xii	68.31 (10)	Ba1^vii—O10—Ba1	85.6 (4)
Ba3^iii—Y2—Ba2^xii	113.11 (17)	O11^ii—O11—Al2	80.1 (9)
Ba3^xi—Y2—Ba2^xii	76.26 (10)	O11^ii—O11—Al2^ii	60.8 (8)
Ba2^vi—Y2—Ba2^xii	69.96 (11)	Al2—O11—Al2^ii	19.3 (8)
Al1^vii—Al1—O13	103.4 (10)	O11^ii—O11—Ba1	124.4 (5)
Al1^vii—Al1—O13^vii	61.7 (8)	Al2—O11—Ba1	152.2 (13)
O13—Al1—O13^vii	41.6 (16)	Al2^ii—O11—Ba1	166.7 (13)
Al1^vii—Al1—O12	170.2 (13)	O11^ii—O11—Ba3B^i	117.6 (4)
O13—Al1—O12	67.8 (16)	Al2—O11—Ba3B^i	80.6 (9)
O13^vii—Al1—O12	109.3 (16)	Al2^ii—O11—Ba3B^i	90.6 (9)
Al1^vii—Al1—O4	83.0 (4)	Ba1—O11—Ba3B^i	96.5 (7)
O13—Al1—O4	135.0 (12)	O11^ii—O11—Ba1^ii	38.2 (4)
O13^vii—Al1—O4	123.9 (11)	Al2—O11—Ba1^ii	117.0 (11)
O12—Al1—O4	100.2 (13)	Al2^ii—O11—Ba1^ii	98.0 (9)
Al1^vii—Al1—O10	83.2 (4)	Ba1—O11—Ba1^ii	86.1 (6)
O13—Al1—O10	117.2 (12)	Ba3B^i—O11—Ba1^ii	130.1 (7)
O13^vii—Al1—O10	109.4 (11)	Al2—O12—Al1	174 (2)
O12—Al1—O10	104.4 (13)	Al2—O12—Al1^vii	173 (2)
O4—Al1—O10	107.8 (9)	Al1—O12—Al1^vii	1.9 (3)
Al1^vii—Al1—O12^vii	7.8 (10)	Al2—O12—Al2^ii	3.2 (3)
O13—Al1—O12^vii	96.3 (14)	Al1—O12—Al2^ii	175 (2)
O13^vii—Al1—O12^vii	54.7 (13)	Al1^vii—O12—Al2^ii	175.4 (19)
O12—Al1—O12^vii	162 (2)	Al2—O12—Ba3	92.4 (14)
O4—Al1—O12^vii	85.8 (11)	Al1—O12—Ba3	93.1 (14)
O10—Al1—O12^vii	89.3 (10)	Al1^vii—O12—Ba3	92.5 (12)
Al1^vii—Al1—Ba3	123.3 (3)	Al2^ii—O12—Ba3	91.7 (12)
O13—Al1—Ba3	84.5 (10)	Al2—O12—Ba3B^i	86.9 (13)
O13^vii—Al1—Ba3	106.8 (9)	Al1—O12—Ba3B^i	87.6 (14)
O12—Al1—Ba3	53.4 (11)	Al1^vii—O12—Ba3B^i	88.1 (12)
O4—Al1—Ba3	56.9 (5)	Al2^ii—O12—Ba3B^i	87.6 (11)
O10—Al1—Ba3	142.5 (7)	Ba3—O12—Ba3B^i	179.3 (15)
O12^vii—Al1—Ba3	120.0 (10)	Al2—O12—Ba1	99.7 (15)
Al1^vii—Al1—Ba3B^i	123.0 (3)	Al1—O12—Ba1	83.0 (14)
O13—Al1—Ba3B^i	70.7 (9)	Al1^vii—O12—Ba1	84.9 (12)
O13^vii—Al1—Ba3B^i	94.2 (9)	Al2^ii—O12—Ba1	96.7 (12)
O12—Al1—Ba3B^i	59.2 (12)	Ba3—O12—Ba1	91.9 (11)
O4—Al1—Ba3B^i	141.8 (7)	Ba3B^i—O12—Ba1	88.0 (10)
O10—Al1—Ba3B^i	55.6 (5)	Al2—O12—Ba2^v	79.1 (13)
O12^vii—Al1—Ba3B^i	124.1 (10)	Al1—O12—Ba2^v	97.8 (15)
Ba3—Al1—Ba3B^i	112.6 (4)	Al1^vii—O12—Ba2^v	96.0 (13)
Al1^vii—Al1—Ba1	124.3 (2)	Al2^ii—O12—Ba2^v	82.2 (11)
O13—Al1—Ba1	131.6 (11)	Ba3—O12—Ba2^v	92.0 (10)
O13^vii—Al1—Ba1	170.4 (9)	Ba3B^i—O12—Ba2^v	88.1 (10)
O12—Al1—Ba1	65.1 (13)	Ba1—O12—Ba2^v	176.0 (13)
O4—Al1—Ba1	65.7 (5)	Al2—O12—Ba3B	92.4 (14)
O10—Al1—Ba1	66.1 (5)	Al1—O12—Ba3B	93.0 (13)
O12^vii—Al1—Ba1	131.8 (11)	Al1^vii—O12—Ba3B	92.5 (11)
Ba3—Al1—Ba1	76.6 (3)	Al2^ii—O12—Ba3B	91.8 (11)
Ba3B^i—Al1—Ba1	76.2 (3)	Ba3—O12—Ba3B	0.04 (18)
Al1^vii—Al1—Ba3^vii	50.6 (2)	Ba3B^i—O12—Ba3B	179.3 (13)
O13—Al1—Ba3^vii	100.2 (10)	Ba1—O12—Ba3B	91.9 (10)
O13^vii—Al1—Ba3^vii	74.1 (8)	Ba2^v—O12—Ba3B	92.0 (9)
O12—Al1—Ba3^vii	125.1 (12)	O13^vii—O13—Al1	76.6 (10)
O4—Al1—Ba3^vii	49.9 (4)	O13^vii—O13—Al1^vii	61.7 (8)
O10—Al1—Ba3^vii	126.8 (6)	Al1—O13—Al1^vii	14.9 (10)
O12^vii—Al1—Ba3^vii	48.0 (9)	O13^vii—O13—Ba2^v	124.8 (5)
Ba3—Al1—Ba3^vii	72.7 (3)	Al1—O13—Ba2^v	155.0 (14)
Ba3B^i—Al1—Ba3^vii	168.3 (4)	Al1^vii—O13—Ba2^v	166.1 (13)
Ba1—Al1—Ba3^vii	115.5 (3)	O13^vii—O13—Ba3B^i	117.3 (4)
Al1^vii—Al1—Ba3B^xiii	50.9 (2)	Al1—O13—Ba3B^i	81.9 (10)
O13—Al1—Ba3B^xiii	87.5 (10)	Al1^vii—O13—Ba3B^i	89.6 (10)
O13^vii—Al1—Ba3B^xiii	62.0 (9)	Ba2^v—O13—Ba3B^i	96.5 (7)
O12—Al1—Ba3B^xiii	130.1 (12)	O13^vii—O13—Ba2^xvi	37.8 (4)
O4—Al1—Ba3B^xiii	126.2 (6)	Al1—O13—Ba2^xvi	113.2 (12)
O10—Al1—Ba3B^xiii	48.9 (5)	Al1^vii—O13—Ba2^xvi	98.5 (10)
O12^vii—Al1—Ba3B^xiii	52.7 (9)	Ba2^v—O13—Ba2^xvi	87.0 (6)
Ba3—Al1—Ba3B^xiii	168.6 (5)	Ba3B^i—O13—Ba2^xvi	130.0 (7)

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

(bBa6Y2Al4O15)

Crystal data

Ba6Y2Al4O15	F(000) = 1172
Mr = 1349.78	Dx = 5.295 Mg m^−3
Monoclinic, P2/c	Mo Kα radiation, λ = 0.71073 Å
a = 7.8310 (2) Å	Cell parameters from 8532 reflections
b = 5.8990 (2) Å	θ = 3.4–30.5°
c = 18.3344 (6) Å	µ = 20.77 mm^−1
β = 91.6065 (11)°	T = 300 K
V = 846.63 (5) Å^3	Granule, translucent colourless
Z = 2	0.06 × 0.05 × 0.05 mm

Data collection

Bruker D8 QUEST diffractometer	2835 independent reflections
Radiation source: sealed X-ray tube	2619 reflections with I > 2σ(I)
Detector resolution: 7.3910 pixels mm^-1	θmax = 27.5°, θmin = 2.2°
φ and ω scans	h = 0→10
Absorption correction: multi-scan (SADABS; Bruker, 2019)	k = −7→0
Tmin = 0.30, Tmax = 0.44	l = −23→23
2835 measured reflections

Refinement

Refinement on F^2	0 restraints
Least-squares matrix: full	w = 1/[σ^2(Fo^2) + (0.0271P)^2 + 7.7136P] where P = (Fo^2 + 2Fc^2)/3
R[F^2 > 2σ(F^2)] = 0.035	(Δ/σ)max < 0.001
wR(F^2) = 0.080	Δρmax = 1.63 e Å^−3
S = 1.14	Δρmin = −2.18 e Å^−3
2835 reflections	Absolute structure: Refined as a 4-domain twin
127 parameters

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 4-component twin

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

	x	y	z	Uiso*/Ueq
Ba1	0.02904 (7)	0.24854 (10)	0.09005 (4)	0.00752 (15)
Ba2	0.49877 (7)	0.25501 (10)	0.08220 (3)	0.00710 (15)
Ba3	0.500000	0.81707 (15)	0.250000	0.0088 (2)
Ba4	0.000000	0.77222 (14)	0.250000	0.00807 (19)
Y1	0.24668 (12)	0.75107 (18)	0.41077 (5)	0.0050 (2)
Al1	0.2211 (4)	0.2660 (6)	0.26746 (16)	0.0051 (6)
Al2	0.2473 (4)	0.2476 (6)	0.55630 (17)	0.0047 (6)
O1	0.0572 (8)	0.2616 (13)	0.6067 (4)	0.0101 (15)
O2	0.2352 (10)	0.0008 (18)	0.0022 (5)	0.0073 (14)
O3	0.2367 (11)	0.4833 (17)	0.4956 (5)	0.0086 (17)
O4	0.2454 (10)	0.0428 (13)	0.3323 (4)	0.0077 (15)
O5	0.2699 (11)	0.5224 (12)	0.3129 (4)	0.0094 (15)
O6	0.3097 (10)	0.1825 (14)	0.1869 (4)	0.0129 (17)
O7	0.4593 (9)	0.2544 (13)	0.5923 (4)	0.0109 (14)
O8	0.000000	0.2867 (16)	0.250000	0.010 (2)

Atomic displacement parameters (Ų)

	U^11	U^22	U^33	U^12	U^13	U^23
Ba1	0.0078 (3)	0.0064 (3)	0.0084 (3)	0.0005 (4)	0.0012 (2)	0.0001 (2)
Ba2	0.0069 (2)	0.0067 (3)	0.0077 (3)	0.0005 (4)	0.0006 (2)	0.00076 (18)
Ba3	0.0092 (4)	0.0080 (4)	0.0094 (4)	0.000000	0.0038 (4)	0.000000
Ba4	0.0105 (3)	0.0057 (4)	0.0078 (4)	0.000000	−0.0031 (3)	0.000000
Y1	0.0070 (4)	0.0033 (5)	0.0047 (5)	−0.0007 (7)	−0.0001 (3)	0.0001 (4)
Al1	0.0047 (11)	0.0045 (14)	0.0062 (16)	−0.0005 (15)	0.0023 (11)	0.0008 (10)
Al2	0.0055 (12)	0.0038 (15)	0.0048 (15)	−0.0011 (16)	0.0016 (11)	−0.0003 (14)
O1	0.009 (3)	0.010 (3)	0.011 (4)	0.001 (4)	−0.001 (3)	0.001 (3)
O2	0.010 (4)	0.007 (3)	0.005 (3)	0.002 (3)	0.002 (4)	0.001 (2)
O3	0.014 (4)	0.006 (4)	0.005 (3)	0.001 (4)	0.000 (4)	0.002 (3)
O4	0.009 (4)	0.008 (4)	0.006 (4)	0.000 (4)	−0.002 (3)	0.003 (3)
O5	0.013 (4)	0.007 (4)	0.008 (4)	0.000 (3)	−0.001 (3)	−0.005 (3)
O6	0.012 (3)	0.016 (4)	0.011 (4)	0.002 (3)	0.005 (3)	−0.001 (3)
O7	0.007 (3)	0.011 (3)	0.014 (4)	−0.001 (4)	−0.001 (3)	0.000 (3)
O8	0.007 (4)	0.010 (5)	0.012 (5)	0.000000	0.001 (4)	0.000000

Geometric parameters (Å, º)

Ba1—O2	2.735 (9)	Ba3—O7^ix	2.930 (8)
Ba1—O6	2.814 (8)	Ba3—Al1^vii	3.454 (3)
Ba1—O4^i	2.879 (8)	Ba3—Al1^viii	3.454 (3)
Ba1—O3^ii	2.882 (9)	Ba3—Y1	3.6199 (10)
Ba1—O1^ii	2.914 (7)	Ba3—Y1^v	3.6199 (10)
Ba1—O3^i	2.921 (9)	Ba4—O1^ii	2.685 (7)
Ba1—O8	2.9563 (10)	Ba4—O1^x	2.685 (7)
Ba1—O2^iii	3.019 (9)	Ba4—O5	2.798 (8)
Ba1—O1^iv	3.032 (7)	Ba4—O5^i	2.798 (8)
Ba1—Al1^i	3.310 (3)	Ba4—O8	2.864 (9)
Ba1—Al2^i	3.400 (3)	Ba4—O4^viii	2.891 (8)
Ba1—Al2^iv	3.454 (3)	Ba4—O4^xi	2.891 (8)
Ba2—O6	2.495 (8)	Ba4—O8^viii	3.035 (9)
Ba2—O4^v	2.804 (8)	Ba4—Al1^viii	3.399 (3)
Ba2—O3^v	2.881 (9)	Ba4—Al1^xi	3.399 (3)
Ba2—O2	2.914 (9)	Ba4—Al1^i	3.462 (3)
Ba2—O7^ii	2.917 (7)	Ba4—Al1	3.462 (3)
Ba2—O3^ii	2.989 (9)	Y1—O3	2.219 (10)
Ba2—O7^iv	3.027 (7)	Y1—O2^xii	2.229 (10)
Ba2—O2^vi	3.032 (9)	Y1—O4^viii	2.242 (7)
Ba2—O5^v	3.045 (8)	Y1—O5	2.256 (7)
Ba2—O7^v	3.226 (8)	Y1—O7^ix	2.305 (7)
Ba2—Al2^v	3.269 (3)	Y1—O1^x	2.393 (7)
Ba2—Al1^v	3.475 (3)	Al1—O6	1.721 (8)
Ba3—O5	2.778 (8)	Al1—O8	1.756 (3)
Ba3—O5^v	2.778 (8)	Al1—O5	1.764 (8)
Ba3—O6^vii	2.848 (8)	Al1—O4	1.781 (8)
Ba3—O6^viii	2.848 (8)	Al2—O7	1.770 (7)
Ba3—O4^vii	2.863 (7)	Al2—O2^xiii	1.770 (11)
Ba3—O4^viii	2.863 (7)	Al2—O1	1.776 (8)
Ba3—O7^ii	2.930 (8)	Al2—O3	1.782 (10)
O2—Ba1—O6	80.5 (2)	Al1^viii—Ba4—Al1	118.58 (9)
O2—Ba1—O4^i	121.8 (3)	Al1^xi—Ba4—Al1	179.38 (6)
O6—Ba1—O4^i	102.1 (2)	Al1^i—Ba4—Al1	60.80 (10)
O2—Ba1—O3^ii	65.6 (2)	O3—Y1—O2^xii	86.4 (3)
O6—Ba1—O3^ii	90.7 (2)	O3—Y1—O4^viii	174.8 (3)
O4^i—Ba1—O3^ii	166.0 (2)	O2^xii—Y1—O4^viii	88.8 (3)
O2—Ba1—O1^ii	123.2 (3)	O3—Y1—O5	97.9 (3)
O6—Ba1—O1^ii	90.9 (2)	O2^xii—Y1—O5	175.2 (3)
O4^i—Ba1—O1^ii	114.9 (2)	O4^viii—Y1—O5	87.0 (3)
O3^ii—Ba1—O1^ii	58.4 (2)	O3—Y1—O7^ix	93.5 (3)
O2—Ba1—O3^i	111.1 (3)	O2^xii—Y1—O7^ix	95.1 (3)
O6—Ba1—O3^i	159.6 (3)	O4^viii—Y1—O7^ix	88.9 (3)
O4^i—Ba1—O3^i	86.3 (2)	O5—Y1—O7^ix	82.5 (3)
O3^ii—Ba1—O3^i	79.8 (3)	O3—Y1—O1^x	91.0 (3)
O1^ii—Ba1—O3^i	68.7 (2)	O2^xii—Y1—O1^x	93.5 (3)
O2—Ba1—O8	133.5 (2)	O4^viii—Y1—O1^x	87.2 (3)
O6—Ba1—O8	57.64 (16)	O5—Y1—O1^x	88.7 (3)
O4^i—Ba1—O8	57.49 (17)	O7^ix—Y1—O1^x	170.5 (3)
O3^ii—Ba1—O8	127.9 (2)	O3—Y1—Ba4	126.1 (2)
O1^ii—Ba1—O8	80.1 (2)	O2^xii—Y1—Ba4	125.5 (2)
O3^i—Ba1—O8	115.1 (2)	O4^viii—Y1—Ba4	55.73 (19)
O2—Ba1—O2^iii	79.4 (2)	O5—Y1—Ba4	53.4 (2)
O6—Ba1—O2^iii	142.9 (3)	O7^ix—Y1—Ba4	120.7 (2)
O4^i—Ba1—O2^iii	64.0 (2)	O1^x—Y1—Ba4	50.33 (17)
O3^ii—Ba1—O2^iii	108.7 (3)	O3—Y1—Ba2^v	54.3 (2)
O1^ii—Ba1—O2^iii	126.2 (2)	O2^xii—Y1—Ba2^v	123.3 (2)
O3^i—Ba1—O2^iii	57.5 (2)	O4^viii—Y1—Ba2^v	130.5 (2)
O8—Ba1—O2^iii	121.5 (2)	O5—Y1—Ba2^v	58.5 (2)
O2—Ba1—O1^iv	59.1 (3)	O7^ix—Y1—Ba2^v	55.09 (19)
O6—Ba1—O1^iv	75.3 (2)	O1^x—Y1—Ba2^v	122.40 (18)
O4^i—Ba1—O1^iv	65.5 (2)	Ba4—Y1—Ba2^v	111.03 (3)
O3^ii—Ba1—O1^iv	124.4 (2)	O3—Y1—Ba2^vii	126.6 (2)
O1^ii—Ba1—O1^iv	165.6 (3)	O2^xii—Y1—Ba2^vii	57.4 (2)
O3^i—Ba1—O1^iv	125.0 (2)	O4^viii—Y1—Ba2^vii	51.6 (2)
O8—Ba1—O1^iv	89.0 (2)	O5—Y1—Ba2^vii	117.9 (2)
O2^iii—Ba1—O1^iv	67.6 (2)	O7^ix—Y1—Ba2^vii	57.10 (19)
O2—Ba1—Al1^i	148.6 (2)	O1^x—Y1—Ba2^vii	125.54 (18)
O6—Ba1—Al1^i	88.57 (16)	Ba4—Y1—Ba2^vii	107.22 (3)
O4^i—Ba1—Al1^i	32.51 (15)	Ba2^v—Y1—Ba2^vii	111.88 (3)
O3^ii—Ba1—Al1^i	144.4 (2)	O3—Y1—Ba3	132.7 (2)
O1^ii—Ba1—Al1^i	86.05 (16)	O2^xii—Y1—Ba3	125.2 (2)
O3^i—Ba1—Al1^i	88.90 (18)	O4^viii—Y1—Ba3	52.26 (19)
O8—Ba1—Al1^i	31.91 (5)	O5—Y1—Ba3	50.1 (2)
O2^iii—Ba1—Al1^i	92.64 (17)	O7^ix—Y1—Ba3	53.9 (2)
O1^iv—Ba1—Al1^i	89.68 (15)	O1^x—Y1—Ba3	117.37 (18)
O2—Ba1—Al2^i	84.7 (2)	Ba4—Y1—Ba3	67.069 (17)
O6—Ba1—Al2^i	165.16 (17)	Ba2^v—Y1—Ba3	78.33 (3)
O4^i—Ba1—Al2^i	85.53 (15)	Ba2^vii—Y1—Ba3	67.83 (2)
O3^ii—Ba1—Al2^i	83.33 (18)	O3—Y1—Ba1^xi	122.9 (2)
O1^ii—Ba1—Al2^i	97.41 (14)	O2^xii—Y1—Ba1^xi	55.8 (2)
O3^i—Ba1—Al2^i	31.6 (2)	O4^viii—Y1—Ba1^xi	52.21 (19)
O8—Ba1—Al2^i	135.90 (6)	O5—Y1—Ba1^xi	122.6 (2)
O2^iii—Ba1—Al2^i	31.3 (2)	O7^ix—Y1—Ba1^xi	127.11 (19)
O1^iv—Ba1—Al2^i	96.94 (14)	O1^x—Y1—Ba1^xi	55.78 (18)
Al1^i—Ba1—Al2^i	104.21 (7)	Ba4—Y1—Ba1^xi	69.69 (2)
O2—Ba1—Al2^iv	30.5 (2)	Ba2^v—Y1—Ba1^xi	177.19 (4)
O6—Ba1—Al2^iv	67.31 (17)	Ba2^vii—Y1—Ba1^xi	70.16 (2)
O4^i—Ba1—Al2^iv	96.39 (16)	Ba3—Y1—Ba1^xi	104.37 (3)
O3^ii—Ba1—Al2^iv	93.84 (19)	O3—Y1—Ba2^xii	54.6 (2)
O1^ii—Ba1—Al2^iv	145.37 (14)	O2^xii—Y1—Ba2^xii	52.7 (2)
O3^i—Ba1—Al2^iv	130.9 (2)	O4^viii—Y1—Ba2^xii	123.4 (2)
O8—Ba1—Al2^iv	107.13 (17)	O5—Y1—Ba2^xii	128.5 (2)
O2^iii—Ba1—Al2^iv	79.72 (19)	O7^ix—Y1—Ba2^xii	60.4 (2)
O1^iv—Ba1—Al2^iv	30.92 (15)	O1^x—Y1—Ba2^xii	128.63 (18)
Al1^i—Ba1—Al2^iv	118.33 (8)	Ba4—Y1—Ba2^xii	178.12 (3)
Al2^i—Ba1—Al2^iv	99.46 (7)	Ba2^v—Y1—Ba2^xii	70.82 (2)
O6—Ba2—O4^v	85.6 (2)	Ba2^vii—Y1—Ba2^xii	72.01 (2)
O6—Ba2—O3^v	155.7 (3)	Ba3—Y1—Ba2^xii	113.90 (3)
O4^v—Ba2—O3^v	88.4 (2)	Ba1^xi—Y1—Ba2^xii	108.44 (3)
O6—Ba2—O2	82.6 (3)	O6—Al1—O8	106.4 (3)
O4^v—Ba2—O2	122.4 (2)	O6—Al1—O5	124.3 (4)
O3^v—Ba2—O2	120.0 (3)	O8—Al1—O5	103.1 (4)
O6—Ba2—O7^ii	93.1 (2)	O6—Al1—O4	108.8 (4)
O4^v—Ba2—O7^ii	118.9 (2)	O8—Al1—O4	105.0 (4)
O3^v—Ba2—O7^ii	69.3 (2)	O5—Al1—O4	107.5 (4)
O2—Ba2—O7^ii	117.9 (2)	O6—Al1—Ba1^i	158.4 (3)
O6—Ba2—O3^ii	94.8 (2)	O8—Al1—Ba1^i	62.87 (9)
O4^v—Ba2—O3^ii	175.4 (2)	O5—Al1—Ba1^i	77.2 (3)
O3^v—Ba2—O3^ii	89.3 (2)	O4—Al1—Ba1^i	60.3 (3)
O2—Ba2—O3^ii	62.1 (2)	O6—Al1—Ba4^xiv	83.7 (3)
O7^ii—Ba2—O3^ii	56.6 (2)	O8—Al1—Ba4^xiv	63.0 (3)
O6—Ba2—O7^iv	73.7 (2)	O5—Al1—Ba4^xiv	151.9 (3)
O4^v—Ba2—O7^iv	66.1 (2)	O4—Al1—Ba4^xiv	58.2 (3)
O3^v—Ba2—O7^iv	124.8 (2)	Ba1^i—Al1—Ba4^xiv	74.73 (7)
O2—Ba2—O7^iv	56.5 (2)	O6—Al1—Ba3^xiv	55.2 (3)
O7^ii—Ba2—O7^iv	165.9 (3)	O8—Al1—Ba3^xiv	131.2 (3)
O3^ii—Ba2—O7^iv	118.4 (2)	O5—Al1—Ba3^xiv	124.9 (3)
O6—Ba2—O2^vi	137.6 (3)	O4—Al1—Ba3^xiv	55.9 (3)
O4^v—Ba2—O2^vi	64.7 (2)	Ba1^i—Al1—Ba3^xiv	116.04 (9)
O3^v—Ba2—O2^vi	57.7 (2)	Ba4^xiv—Al1—Ba3^xiv	69.87 (6)
O2—Ba2—O2^vi	88.5 (2)	O6—Al1—Ba4	112.4 (3)
O7^ii—Ba2—O2^vi	127.0 (2)	O8—Al1—Ba4	55.6 (3)
O3^ii—Ba2—O2^vi	117.2 (3)	O5—Al1—Ba4	53.5 (3)
O7^iv—Ba2—O2^vi	67.0 (2)	O4—Al1—Ba4	138.0 (3)
O6—Ba2—O5^v	87.6 (2)	Ba1^i—Al1—Ba4	78.14 (7)
O4^v—Ba2—O5^v	58.35 (19)	Ba4^xiv—Al1—Ba4	118.58 (9)
O3^v—Ba2—O5^v	69.3 (2)	Ba3^xiv—Al1—Ba4	165.66 (10)
O2—Ba2—O5^v	170.0 (2)	O6—Al1—Ba2^v	114.5 (3)
O7^ii—Ba2—O5^v	60.5 (2)	O8—Al1—Ba2^v	138.01 (14)
O3^ii—Ba2—O5^v	117.1 (2)	O5—Al1—Ba2^v	61.2 (3)
O7^iv—Ba2—O5^v	122.39 (19)	O4—Al1—Ba2^v	53.4 (3)
O2^vi—Ba2—O5^v	100.1 (2)	Ba1^i—Al1—Ba2^v	75.39 (6)
O6—Ba2—O7^v	147.4 (2)	Ba4^xiv—Al1—Ba2^v	111.54 (9)
O4^v—Ba2—O7^v	117.57 (19)	Ba3^xiv—Al1—Ba2^v	70.87 (6)
O3^v—Ba2—O7^v	54.2 (2)	Ba4—Al1—Ba2^v	113.11 (9)
O2—Ba2—O7^v	65.8 (2)	O6—Al1—Ba1	51.4 (3)
O7^ii—Ba2—O7^v	94.5 (2)	O8—Al1—Ba1	56.24 (9)
O3^ii—Ba2—O7^v	64.0 (2)	O5—Al1—Ba1	122.6 (3)
O7^iv—Ba2—O7^v	94.2 (2)	O4—Al1—Ba1	128.7 (3)
O2^vi—Ba2—O7^v	53.3 (2)	Ba1^i—Al1—Ba1	118.55 (9)
O5^v—Ba2—O7^v	123.5 (2)	Ba4^xiv—Al1—Ba1	71.76 (6)
O6—Ba2—Al2^v	169.4 (2)	Ba3^xiv—Al1—Ba1	98.38 (8)
O4^v—Ba2—Al2^v	89.28 (16)	Ba4—Al1—Ba1	75.06 (6)
O3^v—Ba2—Al2^v	32.9 (2)	Ba2^v—Al1—Ba1	165.69 (10)
O2—Ba2—Al2^v	92.29 (18)	O7—Al2—O2^xiii	105.2 (4)
O7^ii—Ba2—Al2^v	97.50 (17)	O7—Al2—O1	126.6 (4)
O3^ii—Ba2—Al2^v	91.01 (18)	O2^xiii—Al2—O1	107.3 (4)
O7^iv—Ba2—Al2^v	95.72 (16)	O7—Al2—O3	104.0 (4)
O2^vi—Ba2—Al2^v	32.4 (2)	O2^xiii—Al2—O3	107.2 (4)
O5^v—Ba2—Al2^v	97.66 (16)	O1—Al2—O3	105.3 (4)
O7^v—Ba2—Al2^v	31.61 (13)	O7—Al2—Ba2^v	72.8 (3)
O6—Ba2—Al1^v	76.57 (18)	O2^xiii—Al2—Ba2^v	66.4 (3)
O4^v—Ba2—Al1^v	30.65 (16)	O1—Al2—Ba2^v	160.2 (3)
O3^v—Ba2—Al1^v	86.39 (18)	O3—Al2—Ba2^v	61.5 (3)
O2—Ba2—Al1^v	146.2 (2)	O7—Al2—Ba1^i	149.8 (3)
O7^ii—Ba2—Al1^v	89.81 (15)	O2^xiii—Al2—Ba1^i	62.4 (3)
O3^ii—Ba2—Al1^v	145.14 (19)	O1—Al2—Ba1^i	83.5 (2)
O7^iv—Ba2—Al1^v	91.91 (15)	O3—Al2—Ba1^i	59.2 (3)
O2^vi—Ba2—Al1^v	89.24 (18)	Ba2^v—Al2—Ba1^i	76.97 (7)
O5^v—Ba2—Al1^v	30.48 (14)	O7—Al2—Ba1^xiii	114.6 (3)
O7^v—Ba2—Al1^v	135.01 (13)	O2^xiii—Al2—Ba1^xiii	51.7 (3)
Al2^v—Ba2—Al1^v	103.42 (7)	O1—Al2—Ba1^xiii	61.3 (3)
O5—Ba3—O5^v	102.5 (3)	O3—Al2—Ba1^xiii	139.4 (3)
O5—Ba3—O6^vii	130.0 (2)	Ba2^v—Al2—Ba1^xiii	117.73 (10)
O5^v—Ba3—O6^vii	107.7 (2)	Ba1^i—Al2—Ba1^xiii	80.54 (7)
O5—Ba3—O6^viii	107.7 (2)	O7—Al2—Ba1^xii	111.9 (3)
O5^v—Ba3—O6^viii	130.0 (2)	O2^xiii—Al2—Ba1^xii	141.7 (3)
O6^vii—Ba3—O6^viii	81.6 (3)	O1—Al2—Ba1^xii	56.4 (3)
O5—Ba3—O4^vii	168.4 (2)	O3—Al2—Ba1^xii	55.4 (3)
O5^v—Ba3—O4^vii	66.6 (2)	Ba2^v—Al2—Ba1^xii	115.95 (10)
O6^vii—Ba3—O4^vii	59.8 (2)	Ba1^i—Al2—Ba1^xii	80.48 (7)
O6^viii—Ba3—O4^vii	78.4 (2)	Ba1^xiii—Al2—Ba1^xii	116.26 (8)
O5—Ba3—O4^viii	66.6 (2)	O7—Al2—Ba2^xii	54.7 (3)
O5^v—Ba3—O4^viii	168.4 (2)	O2^xiii—Al2—Ba2^xii	141.1 (3)
O6^vii—Ba3—O4^viii	78.4 (2)	O1—Al2—Ba2^xii	111.2 (3)
O6^viii—Ba3—O4^viii	59.8 (2)	O3—Al2—Ba2^xii	57.0 (3)
O4^vii—Ba3—O4^viii	124.6 (3)	Ba2^v—Al2—Ba2^xii	75.29 (7)
O5—Ba3—O7^ii	105.4 (2)	Ba1^i—Al2—Ba2^xii	116.21 (9)
O5^v—Ba3—O7^ii	63.5 (2)	Ba1^xiii—Al2—Ba2^xii	161.75 (10)
O6^vii—Ba3—O7^ii	123.4 (2)	Ba1^xii—Al2—Ba2^xii	63.02 (6)
O6^viii—Ba3—O7^ii	70.6 (2)	O7—Al2—Ba2^xiii	57.5 (3)
O4^vii—Ba3—O7^ii	66.7 (2)	O2^xiii—Al2—Ba2^xiii	53.8 (3)
O4^viii—Ba3—O7^ii	121.93 (19)	O1—Al2—Ba2^xiii	115.8 (3)
O5—Ba3—O7^ix	63.5 (2)	O3—Al2—Ba2^xiii	138.1 (3)
O5^v—Ba3—O7^ix	105.4 (2)	Ba2^v—Al2—Ba2^xiii	76.70 (6)
O6^vii—Ba3—O7^ix	70.6 (2)	Ba1^i—Al2—Ba2^xiii	116.19 (9)
O6^viii—Ba3—O7^ix	123.4 (2)	Ba1^xiii—Al2—Ba2^xiii	63.13 (6)
O4^vii—Ba3—O7^ix	121.93 (19)	Ba1^xii—Al2—Ba2^xiii	161.89 (10)
O4^viii—Ba3—O7^ix	66.7 (2)	Ba2^xii—Al2—Ba2^xiii	111.38 (8)
O7^ii—Ba3—O7^ix	163.5 (3)	Al2—O1—Y1^x	140.7 (4)
O5—Ba3—Al1^vii	159.67 (16)	Al2—O1—Ba4^x	132.1 (3)
O5^v—Ba3—Al1^vii	91.26 (17)	Y1^x—O1—Ba4^x	86.3 (2)
O6^vii—Ba3—Al1^vii	29.76 (16)	Al2—O1—Ba1^xii	93.1 (3)
O6^viii—Ba3—Al1^vii	72.96 (17)	Y1^x—O1—Ba1^xii	86.8 (2)
O4^vii—Ba3—Al1^vii	31.00 (15)	Ba4^x—O1—Ba1^xii	99.3 (2)
O4^viii—Ba3—Al1^vii	98.28 (17)	Al2—O1—Ba1^xiii	87.8 (3)
O7^ii—Ba3—Al1^vii	94.04 (15)	Y1^x—O1—Ba1^xiii	83.5 (2)
O7^ix—Ba3—Al1^vii	98.63 (15)	Ba4^x—O1—Ba1^xiii	90.6 (2)
O5—Ba3—Al1^viii	91.26 (17)	Ba1^xii—O1—Ba1^xiii	165.6 (3)
O5^v—Ba3—Al1^viii	159.67 (16)	Al2^iv—O2—Y1^ii	164.1 (6)
O6^vii—Ba3—Al1^viii	72.96 (16)	Al2^iv—O2—Ba1	97.8 (4)
O6^viii—Ba3—Al1^viii	29.76 (16)	Y1^ii—O2—Ba1	97.4 (3)
O4^vii—Ba3—Al1^viii	98.28 (17)	Al2^iv—O2—Ba2	96.8 (4)
O4^viii—Ba3—Al1^viii	31.00 (15)	Y1^ii—O2—Ba2	89.9 (3)
O7^ii—Ba3—Al1^viii	98.63 (15)	Ba1—O2—Ba2	81.4 (3)
O7^ix—Ba3—Al1^viii	94.04 (15)	Al2^iv—O2—Ba1^iii	86.3 (4)
Al1^vii—Ba3—Al1^viii	79.85 (10)	Y1^ii—O2—Ba1^iii	86.6 (3)
O5—Ba3—Y1	38.54 (15)	Ba1—O2—Ba1^iii	100.6 (2)
O5^v—Ba3—Y1	130.36 (15)	Ba2—O2—Ba1^iii	176.1 (4)
O6^vii—Ba3—Y1	92.49 (16)	Al2^iv—O2—Ba2^vi	81.2 (3)
O6^viii—Ba3—Y1	96.86 (15)	Y1^ii—O2—Ba2^vi	84.3 (3)
O4^vii—Ba3—Y1	152.26 (14)	Ba1—O2—Ba2^vi	172.7 (4)
O4^viii—Ba3—Y1	38.28 (14)	Ba2—O2—Ba2^vi	91.5 (2)
O7^ii—Ba3—Y1	137.81 (14)	Ba1^iii—O2—Ba2^vi	86.6 (3)
O7^ix—Ba3—Y1	39.47 (14)	Al2—O3—Y1	172.5 (5)
Al1^vii—Ba3—Y1	121.36 (6)	Al2—O3—Ba2^v	85.6 (4)
Al1^viii—Ba3—Y1	69.18 (5)	Y1—O3—Ba2^v	86.9 (3)
O5—Ba3—Y1^v	130.36 (15)	Al2—O3—Ba1^xii	94.0 (4)
O5^v—Ba3—Y1^v	38.54 (15)	Y1—O3—Ba1^xii	93.5 (3)
O6^vii—Ba3—Y1^v	96.86 (15)	Ba2^v—O3—Ba1^xii	168.4 (3)
O6^viii—Ba3—Y1^v	92.49 (15)	Al2—O3—Ba1^i	89.2 (4)
O4^vii—Ba3—Y1^v	38.28 (14)	Y1—O3—Ba1^i	90.0 (3)
O4^viii—Ba3—Y1^v	152.26 (14)	Ba2^v—O3—Ba1^i	91.4 (3)
O7^ii—Ba3—Y1^v	39.47 (14)	Ba1^xii—O3—Ba1^i	100.2 (3)
O7^ix—Ba3—Y1^v	137.81 (14)	Al2—O3—Ba2^xii	93.0 (4)
Al1^vii—Ba3—Y1^v	69.18 (5)	Y1—O3—Ba2^xii	88.1 (3)
Al1^viii—Ba3—Y1^v	121.36 (6)	Ba2^v—O3—Ba2^xii	90.7 (2)
Y1—Ba3—Y1^v	167.65 (4)	Ba1^xii—O3—Ba2^xii	77.7 (2)
O1^ii—Ba4—O1^x	171.5 (3)	Ba1^i—O3—Ba2^xii	177.1 (4)
O1^ii—Ba4—O5	102.7 (2)	Al1—O4—Y1^xiv	173.8 (5)
O1^x—Ba4—O5	72.7 (2)	Al1—O4—Ba2^v	96.0 (3)
O1^ii—Ba4—O5^i	72.7 (2)	Y1^xiv—O4—Ba2^v	89.6 (2)
O1^x—Ba4—O5^i	102.7 (2)	Al1—O4—Ba3^xiv	93.1 (3)
O5—Ba4—O5^i	116.5 (3)	Y1^xiv—O4—Ba3^xiv	89.5 (2)
O1^ii—Ba4—O8	85.74 (16)	Ba2^v—O4—Ba3^xiv	90.3 (2)
O1^x—Ba4—O8	85.74 (16)	Al1—O4—Ba1^i	87.2 (3)
O5—Ba4—O8	58.23 (15)	Y1^xiv—O4—Ba1^i	89.8 (2)
O5^i—Ba4—O8	58.23 (15)	Ba2^v—O4—Ba1^i	93.8 (2)
O1^ii—Ba4—O4^viii	115.2 (2)	Ba3^xiv—O4—Ba1^i	175.8 (3)
O1^x—Ba4—O4^viii	69.9 (2)	Al1—O4—Ba4^xiv	90.1 (3)
O5—Ba4—O4^viii	65.9 (2)	Y1^xiv—O4—Ba4^xiv	84.4 (2)
O5^i—Ba4—O4^viii	171.6 (2)	Ba2^v—O4—Ba4^xiv	173.0 (3)
O8—Ba4—O4^viii	123.51 (14)	Ba3^xiv—O4—Ba4^xiv	86.02 (19)
O1^ii—Ba4—O4^xi	69.9 (2)	Ba1^i—O4—Ba4^xiv	89.8 (2)
O1^x—Ba4—O4^xi	115.2 (2)	Al1—O5—Y1	150.2 (5)
O5—Ba4—O4^xi	171.6 (2)	Al1—O5—Ba3	118.3 (4)
O5^i—Ba4—O4^xi	65.93 (19)	Y1—O5—Ba3	91.4 (2)
O8—Ba4—O4^xi	123.51 (14)	Al1—O5—Ba4	96.1 (3)
O4^viii—Ba4—O4^xi	113.0 (3)	Y1—O5—Ba4	86.4 (2)
O1^ii—Ba4—O8^viii	94.26 (16)	Ba3—O5—Ba4	89.5 (2)
O1^x—Ba4—O8^viii	94.26 (16)	Al1—O5—Ba2^v	88.4 (3)
O5—Ba4—O8^viii	121.77 (15)	Y1—O5—Ba2^v	82.4 (2)
O5^i—Ba4—O8^viii	121.77 (15)	Ba3—O5—Ba2^v	101.8 (3)
O8—Ba4—O8^viii	180.0000	Ba4—O5—Ba2^v	164.2 (3)
O4^viii—Ba4—O8^viii	56.49 (14)	Al1—O6—Ba2	150.9 (5)
O4^xi—Ba4—O8^viii	56.49 (14)	Al1—O6—Ba1	100.1 (3)
O1^ii—Ba4—Al1^viii	93.28 (16)	Ba2—O6—Ba1	87.7 (2)
O1^x—Ba4—Al1^viii	94.01 (17)	Al1—O6—Ba3^xiv	95.0 (3)
O5—Ba4—Al1^viii	92.05 (16)	Ba2—O6—Ba3^xiv	97.3 (2)
O5^i—Ba4—Al1^viii	150.09 (16)	Ba1—O6—Ba3^xiv	138.7 (3)
O8—Ba4—Al1^viii	148.98 (5)	Al2—O7—Y1^ix	156.6 (5)
O4^viii—Ba4—Al1^viii	31.60 (15)	Al2—O7—Ba2^xii	95.7 (3)
O4^xi—Ba4—Al1^viii	84.57 (15)	Y1^ix—O7—Ba2^xii	84.5 (2)
O8^viii—Ba4—Al1^viii	31.02 (5)	Al2—O7—Ba3^ix	116.1 (4)
O1^ii—Ba4—Al1^xi	94.01 (17)	Y1^ix—O7—Ba3^ix	86.6 (2)
O1^x—Ba4—Al1^xi	93.28 (16)	Ba2^xii—O7—Ba3^ix	101.3 (2)
O5—Ba4—Al1^xi	150.09 (16)	Al2—O7—Ba2^xiii	92.9 (3)
O5^i—Ba4—Al1^xi	92.05 (16)	Y1^ix—O7—Ba2^xiii	83.2 (2)
O8—Ba4—Al1^xi	148.98 (5)	Ba2^xii—O7—Ba2^xiii	165.9 (3)
O4^viii—Ba4—Al1^xi	84.57 (15)	Ba3^ix—O7—Ba2^xiii	84.8 (2)
O4^xi—Ba4—Al1^xi	31.60 (15)	Al2—O7—Ba2^v	75.6 (3)
O8^viii—Ba4—Al1^xi	31.02 (5)	Y1^ix—O7—Ba2^v	81.1 (2)
Al1^viii—Ba4—Al1^xi	62.04 (11)	Ba2^xii—O7—Ba2^v	85.5 (2)
O1^ii—Ba4—Al1^i	86.69 (16)	Ba3^ix—O7—Ba2^v	165.4 (3)
O1^x—Ba4—Al1^i	85.97 (17)	Ba2^xiii—O7—Ba2^v	85.8 (2)
O5—Ba4—Al1^i	87.36 (16)	Al1^i—O8—Al1	172.0 (7)
O5^i—Ba4—Al1^i	30.44 (15)	Al1^i—O8—Ba4	94.0 (3)
O8—Ba4—Al1^i	30.40 (5)	Al1—O8—Ba4	94.0 (3)
O4^viii—Ba4—Al1^i	147.99 (15)	Al1^i—O8—Ba1	85.22 (10)
O4^xi—Ba4—Al1^i	96.00 (15)	Al1—O8—Ba1	94.17 (11)
O8^viii—Ba4—Al1^i	149.60 (5)	Ba4—O8—Ba1	94.37 (18)
Al1^viii—Ba4—Al1^i	179.38 (6)	Al1^i—O8—Ba1^i	94.17 (11)
Al1^xi—Ba4—Al1^i	118.58 (9)	Al1—O8—Ba1^i	85.22 (10)
O1^ii—Ba4—Al1	85.97 (17)	Ba4—O8—Ba1^i	94.37 (18)
O1^x—Ba4—Al1	86.69 (16)	Ba1—O8—Ba1^i	171.3 (4)
O5—Ba4—Al1	30.44 (15)	Al1^i—O8—Ba4^xiv	86.0 (3)
O5^i—Ba4—Al1	87.36 (16)	Al1—O8—Ba4^xiv	86.0 (3)
O8—Ba4—Al1	30.40 (5)	Ba4—O8—Ba4^xiv	180.0000
O4^viii—Ba4—Al1	96.00 (15)	Ba1—O8—Ba4^xiv	85.63 (18)
O4^xi—Ba4—Al1	147.99 (15)	Ba1^i—O8—Ba4^xiv	85.63 (18)
O8^viii—Ba4—Al1	149.60 (5)

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