New red phosphor Na₃EuB₈O₁₅ with an open-window tubular structure

A new rare-earth polyborate, tris­odium europium octa­borate, Na₃EuB₈O₁₅, was prepared using the high-temperature molten-salt method and structurally determined by single-crystal X-ray diffraction analysis. It crystallizes in the triclinic space group P and contains a one-dimensional [B₈O₁₅]_∞ tube structure that is constructed from BO₃ and BO₄ polyhedra. The Eu³⁺ and Na⁺ cations reside in this structure to ensure cohesion and neutrality. The excitation spectra, emission spectra, decay time and Commission Inter­nationale de l'Éclairage (CIE) chromaticity index of Na₃EuB₈O₁₅ were studied. Under near-UV light excitation (393 nm), the polyborate shows an intense red emission, which mainly originates from the highest intensities of the ⁵D₀→⁷F₁ and ⁵D₀→⁷F₂ transitions.

Computing details

Data collection: APEX2 (Bruker, 2013); cell refinement: SAINT (Bruker, 2013); data reduction: SAINT (Bruker, 2013); program(s) used to solve structure: SHELXS2013 (Sheldrick, 2015a); program(s) used to refine structure: SHELXL2013 (Sheldrick, 2015b); molecular graphics: SHELXTL (Sheldrick, 2008); software used to prepare material for publication: SHELXL2013 (Sheldrick, 2015b) and PLATON (Spek, 2020).

Trisodium europium octaborate

Crystal data

Na3EuB8O15	Z = 2
Mr = 547.41	F(000) = 512
Triclinic, P1	Dx = 3.168 Mg m^−3
a = 6.2861 (5) Å	Mo Kα radiation, λ = 0.71073 Å
b = 7.5366 (6) Å	Cell parameters from 724 reflections
c = 13.4963 (11) Å	θ = 2.9–24.0°
α = 90.547 (1)°	µ = 5.68 mm^−1
β = 100.667 (1)°	T = 296 K
γ = 113.489 (1)°	Prism, colorless
V = 573.81 (8) Å^3	0.20 × 0.10 × 0.10 mm

Data collection

Bruker SMART APEXII CCD area detector diffractometer	2807 independent reflections
Radiation source: fine-focus sealed tube	2599 reflections with I > 2σ(I)
Detector resolution: 83.33 pixels mm^-1	Rint = 0.032
ω scans	θmax = 28.3°, θmin = 3.0°
Absorption correction: multi-scan (SADABS; Sheldrick, 2003)	h = −8→8
Tmin = 0.307, Tmax = 0.748	k = −10→10
7261 measured reflections	l = −17→17

Refinement

Refinement on F^2	0 restraints
Least-squares matrix: full	w = 1/[σ^2(Fo^2) + (0.0189P)^2 + 1.0032P] where P = (Fo^2 + 2Fc^2)/3
R[F^2 > 2σ(F^2)] = 0.023	(Δ/σ)max = 0.001
wR(F^2) = 0.055	Δρmax = 1.17 e Å^−3
S = 1.07	Δρmin = −0.92 e Å^−3
2807 reflections	Extinction correction: SHELXL2013 (Sheldrick, 2015b), Fc^*=kFc[1+0.001xFc^2λ^3/sin(2θ)]^-1/4
245 parameters	Extinction coefficient: 0.0079 (6)

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. A suitable single crystal with dimensions of 0.20 × 0.10 × 0.10 mm was selected for single-crystal X-ray diffraction experiments. It was mounted on a Bruker SMART APEXII CCD diffractometer equipped with graphite-monochromatic Mo Kα radiation (λ = 0.71073 Å) with a tube power of 50 kV and 30 mA. Intensity data were collected by the narrow frame method at 296 (2) K with a scan width of 0.5° in an ω-scan method. The unit cells were determined and refined by least-squares upon the refinement of XYZ-centroids of reflections above 2.0σ(I). Then the data were scaled for absorption using the APEX2 package (Bruker, 2013). The intensities of all measured reflections were corrected for Lp and crystal absorption effects. The crystal structure of the title compound was solved by direct methods and refined by full-matrix least squares fitting on F² by SHELX2013 (Sheldrick, 2015). The final refined solution was checked with the program PLATON (Spek, 2020).

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

	x	y	z	Uiso*/Ueq
Eu1	0.91847 (3)	0.24942 (3)	0.33266 (2)	0.00535 (8)
Na1	0.3659 (3)	0.6134 (2)	0.27070 (15)	0.0243 (4)
Na2	0.9079 (3)	0.6895 (2)	0.39134 (13)	0.0216 (4)
Na3	0.7492 (3)	0.2624 (3)	0.02310 (13)	0.0209 (4)
B1	0.6186 (7)	0.3639 (6)	0.5004 (3)	0.0083 (8)
B2	0.2727 (7)	0.0580 (6)	0.4860 (3)	0.0072 (8)
B3	0.3876 (7)	0.2020 (6)	0.3268 (3)	0.0062 (8)
B4	0.3718 (7)	−0.0175 (6)	0.1854 (3)	0.0078 (8)
B5	0.1056 (7)	0.1530 (6)	0.1589 (3)	0.0066 (8)
B6	0.3158 (7)	0.1298 (6)	−0.1428 (3)	0.0057 (7)
B7	0.2053 (7)	0.2816 (6)	−0.0105 (3)	0.0069 (8)
B8	0.1645 (7)	0.3893 (6)	−0.1803 (3)	0.0069 (8)
O1	0.8030 (5)	0.5062 (4)	0.5592 (2)	0.0135 (6)
O2	0.5907 (4)	0.3550 (3)	0.39506 (18)	0.0065 (5)
O3	0.4513 (5)	0.2229 (4)	0.54500 (19)	0.0108 (5)
O4	0.1594 (5)	−0.1015 (4)	0.5276 (2)	0.0107 (5)
O5	0.2177 (4)	0.0700 (4)	0.38304 (19)	0.0092 (5)
O6	0.2550 (4)	0.2788 (3)	0.25274 (18)	0.0056 (5)
O7	0.4978 (4)	0.0948 (4)	0.27470 (19)	0.0081 (5)
O8	0.1686 (4)	−0.0077 (4)	0.13785 (19)	0.0070 (5)
O9	0.1260 (4)	0.2790 (4)	0.07619 (19)	0.0078 (5)
O10	0.1452 (4)	−0.0744 (3)	−0.17355 (19)	0.0068 (5)
O11	0.5575 (4)	0.1478 (4)	−0.14699 (19)	0.0078 (5)
O12	0.3258 (4)	0.1795 (4)	−0.03558 (18)	0.0065 (5)
O13	0.1628 (5)	0.4132 (4)	−0.07694 (19)	0.0092 (5)
O14	0.0749 (5)	0.4854 (4)	−0.2456 (2)	0.0111 (5)
O15	0.2621 (4)	0.2666 (4)	−0.21007 (19)	0.0074 (5)

Atomic displacement parameters (Ų)

	U^11	U^22	U^33	U^12	U^13	U^23
Eu1	0.00544 (10)	0.00627 (11)	0.00421 (10)	0.00227 (7)	0.00098 (6)	0.00042 (6)
Na1	0.0221 (9)	0.0150 (9)	0.0406 (11)	0.0077 (7)	0.0173 (8)	0.0109 (8)
Na2	0.0284 (10)	0.0191 (9)	0.0138 (8)	0.0076 (8)	0.0013 (7)	−0.0041 (7)
Na3	0.0159 (8)	0.0253 (9)	0.0217 (9)	0.0128 (7)	−0.0052 (7)	−0.0074 (7)
B1	0.0101 (19)	0.0083 (19)	0.009 (2)	0.0059 (16)	0.0034 (15)	0.0015 (15)
B2	0.0069 (18)	0.0100 (19)	0.0076 (19)	0.0061 (15)	0.0021 (15)	0.0004 (15)
B3	0.0045 (18)	0.0054 (18)	0.0081 (19)	0.0023 (15)	−0.0009 (15)	−0.0028 (15)
B4	0.0081 (19)	0.0060 (18)	0.010 (2)	0.0030 (15)	0.0043 (15)	0.0029 (15)
B5	0.0083 (19)	0.0091 (19)	0.0049 (18)	0.0059 (15)	0.0018 (15)	−0.0003 (15)
B6	0.0056 (18)	0.0047 (18)	0.0069 (19)	0.0030 (15)	−0.0003 (14)	−0.0014 (14)
B7	0.0059 (18)	0.0067 (19)	0.0069 (19)	0.0013 (15)	0.0015 (15)	−0.0005 (15)
B8	0.0051 (18)	0.0062 (18)	0.0076 (19)	0.0006 (15)	0.0008 (14)	0.0025 (15)
O1	0.0109 (13)	0.0132 (14)	0.0112 (14)	0.0012 (11)	−0.0011 (11)	−0.0036 (11)
O2	0.0060 (12)	0.0071 (12)	0.0045 (12)	0.0011 (10)	0.0005 (9)	−0.0004 (9)
O3	0.0111 (13)	0.0105 (13)	0.0049 (12)	−0.0014 (11)	0.0012 (10)	0.0002 (10)
O4	0.0110 (13)	0.0105 (13)	0.0096 (13)	0.0025 (11)	0.0035 (10)	0.0041 (10)
O5	0.0087 (12)	0.0104 (13)	0.0058 (12)	0.0017 (10)	0.0007 (10)	0.0013 (10)
O6	0.0063 (12)	0.0070 (12)	0.0041 (12)	0.0035 (10)	0.0007 (9)	−0.0008 (9)
O7	0.0056 (12)	0.0123 (13)	0.0077 (13)	0.0061 (10)	−0.0008 (10)	−0.0035 (10)
O8	0.0055 (12)	0.0104 (13)	0.0075 (12)	0.0064 (10)	0.0000 (9)	−0.0010 (10)
O9	0.0116 (13)	0.0105 (13)	0.0040 (12)	0.0071 (10)	0.0021 (10)	0.0017 (10)
O10	0.0045 (11)	0.0060 (12)	0.0092 (12)	0.0010 (10)	0.0026 (9)	−0.0005 (10)
O11	0.0039 (12)	0.0080 (12)	0.0118 (13)	0.0027 (10)	0.0018 (10)	−0.0026 (10)
O12	0.0066 (12)	0.0097 (12)	0.0050 (12)	0.0060 (10)	−0.0003 (9)	0.0001 (10)
O13	0.0157 (13)	0.0105 (13)	0.0062 (12)	0.0098 (11)	0.0030 (10)	0.0020 (10)
O14	0.0154 (13)	0.0140 (13)	0.0104 (13)	0.0111 (11)	0.0057 (11)	0.0063 (11)
O15	0.0097 (12)	0.0099 (13)	0.0064 (12)	0.0068 (10)	0.0039 (10)	0.0032 (10)

Geometric parameters (Å, º)

Eu1—O4^i	2.232 (3)	B2—Na2^xii	2.894 (4)
Eu1—O1^ii	2.241 (3)	B2—Na2^vii	3.164 (4)
Eu1—O14^iii	2.319 (3)	B3—O6	1.455 (5)
Eu1—O10^iv	2.391 (2)	B3—O5	1.475 (5)
Eu1—O7	2.392 (2)	B3—O2	1.476 (4)
Eu1—O6^v	2.483 (2)	B3—O7	1.497 (4)
Eu1—O5^v	2.720 (3)	B3—Eu1^ix	3.123 (4)
Eu1—O2	2.743 (2)	B4—O8	1.349 (5)
Eu1—B5^v	3.013 (4)	B4—O11^iv	1.362 (5)
Eu1—B3^v	3.123 (4)	B4—O7	1.375 (5)
Eu1—B3	3.197 (4)	B4—Na1^xiii	3.010 (4)
Eu1—Na1^v	3.3014 (17)	B4—Na3^iv	3.145 (5)
Na1—O6	2.330 (3)	B5—O8	1.457 (5)
Na1—O11^iii	2.434 (3)	B5—O9	1.464 (5)
Na1—O15^iii	2.448 (3)	B5—O6	1.487 (5)
Na1—O14^vi	2.520 (3)	B5—O10^xiv	1.500 (5)
Na1—O3^vii	2.604 (3)	B5—Na3^ix	3.007 (4)
Na1—O1^vii	2.718 (3)	B5—Eu1^ix	3.013 (4)
Na1—B6^iii	2.998 (4)	B6—O12	1.475 (5)
Na1—B4^viii	3.010 (4)	B6—O15	1.478 (5)
Na1—B1^vii	3.073 (5)	B6—O10	1.483 (4)
Na1—Eu1^ix	3.3013 (17)	B6—O11	1.483 (5)
Na1—Na2	3.311 (3)	B6—Na1^iii	2.998 (4)
Na1—Na2^ix	3.781 (3)	B7—O9	1.352 (5)
Na2—O4^x	2.291 (3)	B7—O12	1.354 (5)
Na2—O14^iii	2.400 (3)	B7—O13	1.414 (5)
Na2—O2	2.523 (3)	B7—Na3^ix	2.933 (4)
Na2—O15^iii	2.563 (3)	B8—O14	1.331 (5)
Na2—O1	2.713 (3)	B8—O15	1.389 (5)
Na2—O1^ii	2.762 (3)	B8—O13	1.407 (5)
Na2—O5^x	2.768 (3)	B8—Na2^iii	2.819 (4)
Na2—B8^iii	2.819 (4)	B8—Na3^iii	3.165 (4)
Na2—O3^vii	2.858 (3)	O1—Eu1^ii	2.241 (3)
Na2—B2^x	2.894 (5)	O1—Na1^vii	2.718 (3)
Na2—B1	3.000 (5)	O1—Na2^ii	2.762 (3)
Na2—B2^vii	3.164 (4)	O3—Na1^vii	2.604 (3)
Na3—O9^v	2.296 (3)	O3—Na2^vii	2.858 (3)
Na3—O13^iii	2.356 (3)	O4—Eu1^i	2.232 (3)
Na3—O11	2.361 (3)	O4—Na2^xii	2.291 (3)
Na3—O12	2.447 (3)	O5—Eu1^ix	2.720 (3)
Na3—O10^iv	2.623 (3)	O5—Na2^xii	2.768 (3)
Na3—B7^v	2.933 (4)	O6—Eu1^ix	2.483 (2)
Na3—O13^v	2.975 (3)	O9—Na3^ix	2.296 (3)
Na3—B6	2.993 (4)	O10—B5^xiv	1.500 (5)
Na3—B5^v	3.007 (4)	O10—Eu1^iv	2.391 (2)
Na3—B4^iv	3.145 (5)	O10—Na3^iv	2.623 (3)
Na3—B8^iii	3.165 (4)	O11—B4^iv	1.362 (5)
Na3—Na3^xi	3.863 (4)	O11—Na1^iii	2.434 (3)
B1—O1	1.333 (5)	O13—Na3^iii	2.356 (3)
B1—O3	1.397 (5)	O13—Na3^ix	2.975 (3)
B1—O2	1.398 (5)	O14—Eu1^iii	2.318 (3)
B1—Na1^vii	3.073 (5)	O14—Na2^iii	2.400 (3)
B2—O4	1.322 (5)	O14—Na1^vi	2.520 (3)
B2—O5	1.381 (5)	O15—Na1^iii	2.448 (3)
B2—O3	1.406 (5)	O15—Na2^iii	2.563 (3)
O4^i—Eu1—O1^ii	84.47 (10)	O12—Na3—O13^v	133.31 (10)
O4^i—Eu1—O14^iii	144.72 (10)	O10^iv—Na3—O13^v	107.21 (9)
O1^ii—Eu1—O14^iii	79.17 (10)	B7^v—Na3—O13^v	27.67 (9)
O4^i—Eu1—O10^iv	122.54 (9)	O9^v—Na3—B6	146.77 (12)
O1^ii—Eu1—O10^iv	141.44 (9)	O13^iii—Na3—B6	106.88 (11)
O14^iii—Eu1—O10^iv	88.27 (9)	O11—Na3—B6	29.22 (10)
O4^i—Eu1—O7	83.76 (9)	O12—Na3—B6	29.32 (10)
O1^ii—Eu1—O7	141.00 (9)	O10^iv—Na3—B6	128.85 (11)
O14^iii—Eu1—O7	89.60 (9)	B7^v—Na3—B6	122.23 (13)
O10^iv—Eu1—O7	74.22 (8)	O13^v—Na3—B6	106.43 (11)
O4^i—Eu1—O6^v	125.07 (9)	O9^v—Na3—B5^v	28.18 (10)
O1^ii—Eu1—O6^v	83.56 (9)	O13^iii—Na3—B5^v	106.16 (11)
O14^iii—Eu1—O6^v	84.00 (9)	O11—Na3—B5^v	128.92 (12)
O10^iv—Eu1—O6^v	58.78 (8)	O12—Na3—B5^v	144.37 (12)
O7—Eu1—O6^v	132.65 (8)	O10^iv—Na3—B5^v	29.91 (9)
O4^i—Eu1—O5^v	72.00 (9)	B7^v—Na3—B5^v	51.45 (12)
O1^ii—Eu1—O5^v	84.01 (9)	O13^v—Na3—B5^v	77.73 (10)
O14^iii—Eu1—O5^v	135.83 (8)	B6—Na3—B5^v	146.81 (12)
O10^iv—Eu1—O5^v	80.06 (8)	O9^v—Na3—B4^iv	97.29 (11)
O7—Eu1—O5^v	126.59 (8)	O13^iii—Na3—B4^iv	136.36 (12)
O6^v—Eu1—O5^v	53.53 (8)	O11—Na3—B4^iv	23.57 (10)
O4^i—Eu1—O2	73.49 (8)	O12—Na3—B4^iv	77.01 (10)
O1^ii—Eu1—O2	87.18 (9)	O10^iv—Na3—B4^iv	110.68 (11)
O14^iii—Eu1—O2	74.67 (8)	B7^v—Na3—B4^iv	74.86 (11)
O10^iv—Eu1—O2	124.55 (8)	O13^v—Na3—B4^iv	70.31 (10)
O7—Eu1—O2	53.82 (8)	B6—Na3—B4^iv	49.56 (11)
O6^v—Eu1—O2	158.02 (8)	B5^v—Na3—B4^iv	105.35 (12)
O5^v—Eu1—O2	145.02 (7)	O9^v—Na3—B8^iii	93.10 (11)
O4^i—Eu1—B5^v	131.31 (10)	O13^iii—Na3—B8^iii	24.34 (9)
O1^ii—Eu1—B5^v	112.31 (11)	O11—Na3—B8^iii	138.14 (12)
O14^iii—Eu1—B5^v	83.94 (10)	O12—Na3—B8^iii	95.10 (11)
O10^iv—Eu1—B5^v	29.45 (9)	O10^iv—Na3—B8^iii	89.49 (10)
O7—Eu1—B5^v	103.30 (10)	B7^v—Na3—B8^iii	109.71 (12)
O6^v—Eu1—B5^v	29.41 (9)	O13^v—Na3—B8^iii	104.21 (10)
O5^v—Eu1—B5^v	65.32 (9)	B6—Na3—B8^iii	117.77 (12)
O2—Eu1—B5^v	147.89 (9)	B5^v—Na3—B8^iii	91.92 (11)
O4^i—Eu1—B3^v	98.12 (10)	B4^iv—Na3—B8^iii	159.83 (12)
O1^ii—Eu1—B3^v	75.86 (10)	O9^v—Na3—Na3^xi	64.89 (8)
O14^iii—Eu1—B3^v	107.70 (10)	O13^iii—Na3—Na3^xi	50.31 (7)
O10^iv—Eu1—B3^v	73.56 (9)	O11—Na3—Na3^xi	98.71 (10)
O7—Eu1—B3^v	142.67 (10)	O12—Na3—Na3^xi	124.66 (10)
O6^v—Eu1—B3^v	27.12 (9)	O10^iv—Na3—Na3^xi	117.00 (9)
O5^v—Eu1—B3^v	28.16 (9)	B7^v—Na3—Na3^xi	56.94 (9)
O2—Eu1—B3^v	161.87 (9)	O13^v—Na3—Na3^xi	37.54 (6)
B5^v—Eu1—B3^v	48.59 (11)	B6—Na3—Na3^xi	113.26 (11)
O4^i—Eu1—B3	77.92 (10)	B5^v—Na3—Na3^xi	90.35 (10)
O1^ii—Eu1—B3	114.62 (10)	B4^iv—Na3—Na3^xi	100.47 (10)
O14^iii—Eu1—B3	80.87 (10)	B8^iii—Na3—Na3^xi	68.50 (9)
O10^iv—Eu1—B3	98.84 (9)	O1—B1—O3	119.4 (4)
O7—Eu1—B3	26.39 (9)	O1—B1—O2	120.7 (3)
O6^v—Eu1—B3	153.38 (9)	O3—B1—O2	119.9 (3)
O5^v—Eu1—B3	142.82 (9)	O1—B1—Na2	64.7 (2)
O2—Eu1—B3	27.44 (8)	O3—B1—Na2	169.8 (3)
B5^v—Eu1—B3	126.42 (10)	O2—B1—Na2	56.84 (18)
B3^v—Eu1—B3	168.01 (14)	O1—B1—Na1^vii	62.1 (2)
O4^i—Eu1—Na1^v	136.46 (8)	O3—B1—Na1^vii	57.49 (19)
O1^ii—Eu1—Na1^v	54.78 (8)	O2—B1—Na1^vii	174.5 (3)
O14^iii—Eu1—Na1^v	49.58 (7)	Na2—B1—Na1^vii	124.73 (15)
O10^iv—Eu1—Na1^v	89.50 (7)	O4—B2—O5	121.2 (3)
O7—Eu1—Na1^v	136.96 (7)	O4—B2—O3	121.3 (3)
O6^v—Eu1—Na1^v	44.79 (6)	O5—B2—O3	117.5 (3)
O5^v—Eu1—Na1^v	87.58 (6)	O4—B2—Na2^xii	50.41 (19)
O2—Eu1—Na1^v	114.31 (6)	O5—B2—Na2^xii	70.9 (2)
B5^v—Eu1—Na1^v	64.63 (9)	O3—B2—Na2^xii	171.6 (3)
B3^v—Eu1—Na1^v	60.67 (8)	O4—B2—Na2^vii	92.9 (2)
B3—Eu1—Na1^v	129.59 (8)	O5—B2—Na2^vii	111.4 (2)
O6—Na1—O11^iii	130.94 (12)	O3—B2—Na2^vii	64.61 (19)
O6—Na1—O15^iii	101.40 (11)	Na2^xii—B2—Na2^vii	114.61 (13)
O11^iii—Na1—O15^iii	58.73 (9)	O6—B3—O5	106.9 (3)
O6—Na1—O14^vi	82.95 (10)	O6—B3—O2	113.2 (3)
O11^iii—Na1—O14^vi	97.59 (10)	O5—B3—O2	111.9 (3)
O15^iii—Na1—O14^vi	152.24 (12)	O6—B3—O7	110.3 (3)
O6—Na1—O3^vii	115.18 (11)	O5—B3—O7	110.6 (3)
O11^iii—Na1—O3^vii	111.57 (10)	O2—B3—O7	104.1 (3)
O15^iii—Na1—O3^vii	96.41 (10)	O6—B3—Eu1^ix	51.08 (15)
O14^vi—Na1—O3^vii	106.58 (11)	O5—B3—Eu1^ix	60.53 (17)
O6—Na1—O1^vii	76.85 (10)	O2—B3—Eu1^ix	110.7 (2)
O11^iii—Na1—O1^vii	148.14 (11)	O7—B3—Eu1^ix	144.9 (2)
O15^iii—Na1—O1^vii	140.49 (11)	O6—B3—Eu1	125.1 (2)
O14^vi—Na1—O1^vii	67.27 (9)	O5—B3—Eu1	127.0 (2)
O3^vii—Na1—O1^vii	52.51 (9)	O2—B3—Eu1	58.88 (16)
O6—Na1—B6^iii	119.86 (12)	O7—B3—Eu1	45.24 (14)
O11^iii—Na1—B6^iii	29.41 (9)	Eu1^ix—B3—Eu1	168.01 (14)
O15^iii—Na1—B6^iii	29.34 (9)	O8—B4—O11^iv	119.2 (3)
O14^vi—Na1—B6^iii	125.95 (12)	O8—B4—O7	120.2 (3)
O3^vii—Na1—B6^iii	105.28 (11)	O11^iv—B4—O7	120.5 (3)
O1^vii—Na1—B6^iii	157.74 (12)	O8—B4—Na1^xiii	120.5 (2)
O6—Na1—B4^viii	150.77 (13)	O11^iv—B4—Na1^xiii	52.48 (18)
O11^iii—Na1—B4^viii	26.34 (10)	O7—B4—Na1^xiii	93.3 (2)
O15^iii—Na1—B4^viii	78.47 (11)	O8—B4—Na3^iv	77.0 (2)
O14^vi—Na1—B4^viii	84.61 (11)	O11^iv—B4—Na3^iv	43.91 (17)
O3^vii—Na1—B4^viii	93.71 (11)	O7—B4—Na3^iv	161.1 (3)
O1^vii—Na1—B4^viii	121.82 (12)	Na1^xiii—B4—Na3^iv	83.07 (11)
B6^iii—Na1—B4^viii	50.79 (11)	O8—B5—O9	111.8 (3)
O6—Na1—B1^vii	95.01 (11)	O8—B5—O6	113.4 (3)
O11^iii—Na1—B1^vii	134.06 (12)	O9—B5—O6	106.9 (3)
O15^iii—Na1—B1^vii	119.34 (12)	O8—B5—O10^xiv	109.5 (3)
O14^vi—Na1—B1^vii	87.15 (11)	O9—B5—O10^xiv	108.5 (3)
O3^vii—Na1—B1^vii	26.90 (10)	O6—B5—O10^xiv	106.5 (3)
O1^vii—Na1—B1^vii	25.67 (9)	O8—B5—Na3^ix	126.1 (2)
B6^iii—Na1—B1^vii	132.17 (13)	O9—B5—Na3^ix	47.80 (16)
B4^viii—Na1—B1^vii	110.70 (12)	O6—B5—Na3^ix	120.3 (2)
O6—Na1—Eu1^ix	48.64 (7)	O10^xiv—B5—Na3^ix	60.70 (17)
O11^iii—Na1—Eu1^ix	139.90 (9)	O8—B5—Eu1^ix	131.4 (2)
O15^iii—Na1—Eu1^ix	149.83 (9)	O9—B5—Eu1^ix	116.7 (2)
O14^vi—Na1—Eu1^ix	44.47 (6)	O6—B5—Eu1^ix	55.09 (16)
O3^vii—Na1—Eu1^ix	94.83 (8)	O10^xiv—B5—Eu1^ix	51.63 (15)
O1^vii—Na1—Eu1^ix	42.34 (6)	Na3^ix—B5—Eu1^ix	86.58 (11)
B6^iii—Na1—Eu1^ix	159.88 (11)	O12—B6—O15	112.5 (3)
B4^viii—Na1—Eu1^ix	128.59 (10)	O12—B6—O10	109.5 (3)
B1^vii—Na1—Eu1^ix	67.95 (9)	O15—B6—O10	112.2 (3)
O6—Na1—Na2	91.69 (9)	O12—B6—O11	105.2 (3)
O11^iii—Na1—Na2	102.26 (8)	O15—B6—O11	107.9 (3)
O15^iii—Na1—Na2	50.15 (7)	O10—B6—O11	109.1 (3)
O14^vi—Na1—Na2	157.61 (10)	O12—B6—Na3	54.32 (16)
O3^vii—Na1—Na2	56.28 (8)	O15—B6—Na3	121.7 (2)
O1^vii—Na1—Na2	90.35 (8)	O10—B6—Na3	125.9 (2)
B6^iii—Na1—Na2	75.43 (9)	O11—B6—Na3	51.02 (16)
B4^viii—Na1—Na2	109.11 (10)	O12—B6—Na1^iii	124.9 (2)
B1^vii—Na1—Na2	71.61 (9)	O15—B6—Na1^iii	54.25 (16)
Eu1^ix—Na1—Na2	117.62 (6)	O10—B6—Na1^iii	125.2 (2)
O6—Na1—Na2^ix	106.12 (9)	O11—B6—Na1^iii	53.71 (17)
O11^iii—Na1—Na2^ix	103.65 (8)	Na3—B6—Na1^iii	85.92 (12)
O15^iii—Na1—Na2^ix	152.27 (9)	O9—B7—O12	126.6 (3)
O14^vi—Na1—Na2^ix	38.63 (7)	O9—B7—O13	114.0 (3)
O3^vii—Na1—Na2^ix	68.88 (8)	O12—B7—O13	119.3 (3)
O1^vii—Na1—Na2^ix	46.85 (7)	O9—B7—Na3^ix	49.44 (18)
B6^iii—Na1—Na2^ix	129.71 (10)	O12—B7—Na3^ix	145.9 (3)
B4^viii—Na1—Na2^ix	79.19 (9)	O13—B7—Na3^ix	77.8 (2)
B1^vii—Na1—Na2^ix	55.29 (9)	O14—B8—O15	122.5 (3)
Eu1^ix—Na1—Na2^ix	57.48 (4)	O14—B8—O13	119.2 (3)
Na2—Na1—Na2^ix	124.70 (8)	O15—B8—O13	118.3 (3)
O4^x—Na2—O14^iii	139.32 (13)	O14—B8—Na2^iii	58.18 (19)
O4^x—Na2—O2	127.05 (11)	O15—B8—Na2^iii	65.00 (19)
O14^iii—Na2—O2	77.65 (10)	O13—B8—Na2^iii	171.2 (3)
O4^x—Na2—O15^iii	134.25 (11)	O14—B8—Na3^iii	83.5 (2)
O14^iii—Na2—O15^iii	57.32 (9)	O15—B8—Na3^iii	144.1 (2)
O2—Na2—O15^iii	95.22 (10)	O13—B8—Na3^iii	43.63 (16)
O4^x—Na2—O1	73.31 (10)	Na2^iii—B8—Na3^iii	138.64 (15)
O14^iii—Na2—O1	120.22 (11)	B1—O1—Eu1^ii	173.2 (3)
O2—Na2—O1	53.75 (9)	B1—O1—Na2	88.9 (2)
O15^iii—Na2—O1	144.86 (11)	Eu1^ii—O1—Na2	94.51 (10)
O4^x—Na2—O1^ii	83.02 (10)	B1—O1—Na1^vii	92.2 (2)
O14^iii—Na2—O1^ii	68.09 (9)	Eu1^ii—O1—Na1^vii	82.88 (9)
O2—Na2—O1^ii	81.52 (9)	Na2—O1—Na1^vii	164.30 (13)
O15^iii—Na2—O1^ii	124.53 (10)	B1—O1—Na2^ii	98.6 (2)
O1—Na2—O1^ii	71.94 (10)	Eu1^ii—O1—Na2^ii	85.96 (9)
O4^x—Na2—O5^x	54.52 (9)	Na2—O1—Na2^ii	108.06 (10)
O14^iii—Na2—O5^x	104.69 (10)	Na1^vii—O1—Na2^ii	87.26 (10)
O2—Na2—O5^x	173.93 (11)	B1—O2—B3	122.7 (3)
O15^iii—Na2—O5^x	81.62 (9)	B1—O2—Na2	95.5 (2)
O1—Na2—O5^x	127.45 (10)	B3—O2—Na2	140.1 (2)
O1^ii—Na2—O5^x	104.55 (10)	B1—O2—Eu1	111.3 (2)
O4^x—Na2—B8^iii	143.54 (13)	B3—O2—Eu1	93.68 (19)
O14^iii—Na2—B8^iii	28.11 (10)	Na2—O2—Eu1	81.22 (8)
O2—Na2—B8^iii	88.25 (11)	B1—O3—B2	120.4 (3)
O15^iii—Na2—B8^iii	29.43 (10)	B1—O3—Na1^vii	95.6 (2)
O1—Na2—B8^iii	140.72 (12)	B2—O3—Na1^vii	143.9 (2)
O1^ii—Na2—B8^iii	95.25 (11)	B1—O3—Na2^vii	118.9 (2)
O5^x—Na2—B8^iii	91.43 (11)	B2—O3—Na2^vii	89.0 (2)
O4^x—Na2—O3^vii	85.23 (10)	Na1^vii—O3—Na2^vii	74.45 (9)
O14^iii—Na2—O3^vii	134.81 (11)	B2—O4—Eu1^i	148.8 (3)
O2—Na2—O3^vii	78.04 (9)	B2—O4—Na2^xii	103.2 (2)
O15^iii—Na2—O3^vii	87.89 (9)	Eu1^i—O4—Na2^xii	107.70 (11)
O1—Na2—O3^vii	71.17 (9)	B2—O5—B3	123.2 (3)
O1^ii—Na2—O3^vii	143.09 (10)	B2—O5—Eu1^ix	112.9 (2)
O5^x—Na2—O3^vii	96.60 (9)	B3—O5—Eu1^ix	91.30 (19)
B8^iii—Na2—O3^vii	114.35 (11)	B2—O5—Na2^xii	81.0 (2)
O4^x—Na2—B2^x	26.41 (11)	B3—O5—Na2^xii	145.0 (2)
O14^iii—Na2—B2^x	124.78 (12)	Eu1^ix—O5—Na2^xii	102.41 (9)
O2—Na2—B2^x	153.23 (12)	B3—O6—B5	118.4 (3)
O15^iii—Na2—B2^x	109.09 (12)	B3—O6—Na1	116.3 (2)
O1—Na2—B2^x	99.61 (11)	B5—O6—Na1	123.4 (2)
O1^ii—Na2—B2^x	93.25 (11)	B3—O6—Eu1^ix	101.8 (2)
O5^x—Na2—B2^x	28.13 (10)	B5—O6—Eu1^ix	95.49 (19)
B8^iii—Na2—B2^x	118.45 (13)	Na1—O6—Eu1^ix	86.56 (9)
O3^vii—Na2—B2^x	91.47 (11)	B4—O7—B3	119.0 (3)
O4^x—Na2—B1	99.51 (12)	B4—O7—Eu1	128.3 (2)
O14^iii—Na2—B1	101.44 (12)	B3—O7—Eu1	108.37 (19)
O2—Na2—B1	27.63 (10)	B4—O8—B5	122.9 (3)
O15^iii—Na2—B1	120.22 (12)	B7—O9—B5	132.7 (3)
O1—Na2—B1	26.37 (10)	B7—O9—Na3^ix	104.0 (2)
O1^ii—Na2—B1	77.66 (11)	B5—O9—Na3^ix	104.0 (2)
O5^x—Na2—B1	152.58 (12)	B6—O10—B5^xiv	123.3 (3)
B8^iii—Na2—B1	115.77 (13)	B6—O10—Eu1^iv	125.3 (2)
O3^vii—Na2—B1	69.97 (10)	B5^xiv—O10—Eu1^iv	98.92 (19)
B2^x—Na2—B1	125.60 (13)	B6—O10—Na3^iv	103.5 (2)
O4^x—Na2—B2^vii	60.17 (11)	B5^xiv—O10—Na3^iv	89.40 (19)
O14^iii—Na2—B2^vii	156.34 (12)	Eu1^iv—O10—Na3^iv	110.76 (10)
O2—Na2—B2^vii	100.24 (11)	B4^iv—O11—B6	129.8 (3)
O15^iii—Na2—B2^vii	99.90 (11)	B4^iv—O11—Na3	112.5 (2)
O1—Na2—B2^vii	73.73 (10)	B6—O11—Na3	99.8 (2)
O1^ii—Na2—B2^vii	135.34 (11)	B4^iv—O11—Na1^iii	101.2 (2)
O5^x—Na2—B2^vii	75.33 (10)	B6—O11—Na1^iii	96.9 (2)
B8^iii—Na2—B2^vii	129.32 (13)	Na3—O11—Na1^iii	116.74 (12)
O3^vii—Na2—B2^vii	26.38 (9)	B7—O12—B6	120.4 (3)
B2^x—Na2—B2^vii	65.39 (13)	B7—O12—Na3	126.2 (2)
B1—Na2—B2^vii	84.07 (12)	B6—O12—Na3	96.36 (19)
O9^v—Na3—O13^iii	96.45 (11)	B8—O13—B7	119.8 (3)
O9^v—Na3—O11	118.12 (11)	B8—O13—Na3^iii	112.0 (2)
O13^iii—Na3—O11	118.17 (11)	B7—O13—Na3^iii	122.9 (2)
O9^v—Na3—O12	169.36 (12)	B8—O13—Na3^ix	128.0 (2)
O13^iii—Na3—O12	93.81 (10)	B7—O13—Na3^ix	74.51 (19)
O11—Na3—O12	58.49 (9)	Na3^iii—O13—Na3^ix	92.15 (10)
O9^v—Na3—O10^iv	58.08 (9)	B8—O14—Eu1^iii	155.4 (2)
O13^iii—Na3—O10^iv	111.76 (10)	B8—O14—Na2^iii	93.7 (2)
O11—Na3—O10^iv	129.84 (11)	Eu1^iii—O14—Na2^iii	93.30 (10)
O12—Na3—O10^iv	115.17 (11)	B8—O14—Na1^vi	115.8 (2)
O9^v—Na3—B7^v	26.57 (10)	Eu1^iii—O14—Na1^vi	85.95 (9)
O13^iii—Na3—B7^v	102.93 (12)	Na2^iii—O14—Na1^vi	100.43 (12)
O11—Na3—B7^v	93.01 (11)	B8—O15—B6	122.3 (3)
O12—Na3—B7^v	151.40 (12)	B8—O15—Na1^iii	122.6 (2)
O10^iv—Na3—B7^v	80.05 (11)	B6—O15—Na1^iii	96.41 (19)
O9^v—Na3—O13^v	50.20 (8)	B8—O15—Na2^iii	85.6 (2)
O13^iii—Na3—O13^v	87.85 (10)	B6—O15—Na2^iii	145.0 (2)
O11—Na3—O13^v	79.80 (9)	Na1^iii—O15—Na2^iii	82.68 (10)

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