H-type Ce2[Si2O7]

Locke, R.J.C.; Weis, M.; Schleid, T.

doi:10.1107/S2414314623005916

inorganic compounds

IUCrDATA

ISSN: 2414-3146

Volume 8| Part 7| July 2023| x230591

https://doi.org/10.1107/S2414314623005916

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H-type Ce₂[Si₂O₇]

Ralf Jules Christian Locke,^a Maria Weis ^a and Thomas Schleid ^a ^*

^aInstitut für Anorganische Chemie, Universität Stuttgart, Pfaffenwaldring 55, 70569 Stuttgart, Germany
^*Correspondence e-mail: schleid@iac.uni-stuttgart.de

Edited by M. Weil, Vienna University of Technology, Austria (Received 28 June 2023; accepted 5 July 2023; online 7 July 2023)

The title compound, dicerium(III) oxidodisilicate, Ce₂[Si₂O₇], was obtained as a by-product in its H-type structure after attempts to synthesize CeSb₂O₄Cl from fused silica ampoules. It crystallizes isotypically with H-La₂[Si₂O₇]. The four crystallographically distinct Ce^III cations form distorted square antiprisms, capped square antiprisms, and bicapped square antiprisms as coordination polyhedra consisting of oxygen atoms. Four crystallographically different silicon atoms recruit the centers of two different isolated [Si₂O₇]^6– units.

Keywords: crystal structure; oxidodisilicate; rare-earth metal; cerium; isotypism.

CCDC reference: 2222660

Structure description

H-type Ce₂[Si₂O₇], like H-La₂[Si₂O₇] (Müller-Bunz & Schleid, 2000 ), crystallizes isotypically with the triclinic form of potassium dichromate [K₂[Cr₂O₇]; Brandon & Brown, 1968 ] in the space group P $[\overline{1}]$ . According to the single-crystal X-ray structure analysis, four crystallographically distinct Ce^III cations with coordination numbers ranging from eight to ten are present (Fig. 1), with oxygen atoms forming distorted square antiprisms (Ce2), capped square antiprisms (Ce4), and bicapped square antiprisms (Ce1 and Ce3) as coordination polyhedra. The cerium–oxygen distances d(Ce—O) cover an interval from 2.366 (4) to 2.817 (4) Å (Table 1) plus 3.11 (4)–3.34 (4) Å to most caps. All oxygen atoms belong to pyroanionic oxidodisilicate anions [Si₂O₇]^6– (Fig. 2), each consisting of two vertex-connected [SiO₄]^4– tetrahedra. Here, four crystallographically different silicon atoms recruit the centers of these two isolated [Si₂O₇]^6– units [d(Si—O) = 1.588 (4)–1.676 (4) Å (Table 1); ∠(O—Si—O) = 100.67 (19)–117.4 (2)°]. Both exhibit an ecliptical conformation with Si—O—Si angles of 129.2 (2) and 128.8 (2)°, leading to a backbone-to-backbone alignment of the Si—O—Si bridges. The silicon–oxygen distances are in the usual range for this element combination, with slightly longer contacts to the bridging oxygen atoms (Table 1). The shortest, of course non-bonding, cerium–silicon distances of 3.2118 (14)–3.3391 (14) Å reflect the close proximity of Ce^III to the discrete [Si₂O₇]^6– anions. Figure 3 shows the content of an extended unit-cell with highlighted [Si₂O₇]^6– bitetrahedra. The similarity to the other so-far known polymorphs of Ce₂[Si₂O₇] [A- (Kępiński et al., 2002 ; Deng & Ibers, 2005 ) and G-type (Tas & Akinc, 1994 ; Christensen, 1994 ; Christensen & Hazell, 1994 ) and even I-type Ce₂Si₂O₇ (≡ Ce₆[Si₄O₁₃][SiO₄]₂) (Kępiński et al., 2002)] is striking and will be discussed in an upcoming review article (Hartenbach et al., 2023 ) as a follow up of the pioneering one by Felsche (1970 ).

Table 1
Selected bond lengths (Å)

Ce1—O6	2.386 (4)	Ce3—O1^vii	2.396 (4)
Ce1—O13	2.439 (4)	Ce3—O7	2.457 (4)
Ce1—O12	2.445 (4)	Ce3—O2ⁱⁱⁱ	2.490 (4)
Ce1—O10	2.480 (4)	Ce3—O3^iv	2.534 (4)
Ce1—O14ⁱ	2.486 (4)	Ce3—O6	2.555 (4)
Ce1—O9ⁱⁱ	2.516 (4)	Ce3—O13	2.632 (4)
Ce1—O11ⁱ	2.663 (4)	Ce3—O14	2.687 (4)
Ce1—Si4ⁱ	3.2597 (15)	Ce3—O4ⁱⁱⁱ	2.705 (4)
Ce1—Si2	3.3340 (15)	Ce3—Si4	3.2767 (15)
Ce1—Si3	3.4775 (14)	Ce3—Si1ⁱⁱⁱ	3.3138 (14)
Ce1—Ce3	3.9086 (4)	Ce3—Si2^ix	3.3545 (14)
Ce1—Ce4ⁱⁱ	3.9449 (4)	Ce3—Si1^x	3.4591 (15)
Ce2—O8	2.366 (4)	Si1—O1ⁱⁱⁱ	1.592 (4)
Ce2—O2	2.370 (4)	Si1—O2	1.624 (4)
Ce2—O12	2.376 (4)	Si1—O3	1.632 (4)
Ce2—O10	2.494 (4)	Si1—O4	1.664 (4)
Ce2—O10ⁱⁱⁱ	2.526 (4)	Si1—Ce3ⁱⁱⁱ	3.3138 (14)
Ce2—O13ⁱⁱⁱ	2.643 (4)	Si1—Ce4ⁱⁱⁱ	3.4549 (14)
Ce2—O9ⁱⁱⁱ	2.675 (4)	Si1—Ce3^xi	3.4591 (15)
Ce2—O3	2.817 (4)	Si2—O5	1.589 (4)
Ce2—Si1	3.2118 (14)	Si2—O7ⁱ	1.636 (4)
Ce2—Si3ⁱⁱⁱ	3.2386 (15)	Si2—O6	1.642 (4)
Ce2—Si4^iv	3.4514 (15)	Si2—O4^x	1.660 (4)
Ce2—Ce1ⁱⁱⁱ	3.9450 (4)	Si2—Ce4ⁱⁱ	3.3391 (14)
Ce4—O5	2.415 (4)	Si2—Ce3ⁱ	3.3544 (14)
Ce4—O1	2.420 (4)	Si3—O8^v	1.595 (4)
Ce4—O3^v	2.517 (4)	Si3—O9	1.632 (4)
Ce4—O7^vi	2.576 (4)	Si3—O10	1.641 (4)
Ce4—O7^vii	2.603 (4)	Si3—O11ⁱⁱⁱ	1.648 (4)
Ce4—O8^v	2.655 (4)	Si3—Ce2ⁱⁱⁱ	3.2386 (15)
Ce4—O14^vi	2.681 (4)	Si4—O12^iv	1.588 (4)
Ce4—O9	2.749 (4)	Si4—O13	1.620 (4)
Ce4—O6^viii	2.812 (4)	Si4—O14	1.631 (4)
Ce4—Si3	3.2807 (14)	Si4—O11	1.676 (4)
Ce4—Si2^viii	3.3391 (14)	Si4—Ce1^ix	3.2597 (15)
Ce4—Si1ⁱⁱⁱ	3.4549 (14)	Si4—Ce2^iv	3.4514 (15)
Symmetry codes: (i) ; (ii) ; (iii) ; (iv) ; (v) ; (vi) ; (vii) ; (viii) x, y+1, z; (ix) x+1, y, z; (x) ; (xi) x, y, z+1.

Figure 1
Oxygen environment of the four crystallographically different Ce^III cations in H-type Ce₂[Si₂O₇]. The yellow dotted bonds reflect cerium–oxygen distances longer than 3.0 Å. Displacement ellipsoids are drawn at the 95% probability level. Symmetry codes refer to Table 1

Figure 2
The two distinct oxidodisilicate anions [Si₂O₇]^6– made of two vertex-connected [SiO₄]^4– tetrahedra in H-type Ce₂[Si₂O₇], where the position of the oxygen atoms define a backbone arrangement (left), and their Newman projection (right). Displacement ellipsoids are drawn at the 95% probability level. Symmetry codes refer to Table 1

Figure 3
View of the triclinic crystal structure of H-type Ce₂[Si₂O₇] along [100] emphasizing the discrete [Si₂O₇]^6– anions. Displacement ellipsoids are drawn at the 95% probability level.

Synthesis and crystallization

Single crystals of H-Ce₂[Si₂O₇] were obtained as a by-product during the synthesis of CeSb₂O₄Cl (Locke, 2023 ; Weis, 2023 ) by reacting Ce₂O₃ with fused silica (SiO₂) as reaction vessel at a temperature of 1023 K, taking advantage of the presumed mineralizers Sb₂O₃ and CeCl₃. The transparent, colorless crystals exhibit a platelet-like habit.

Refinement

Crystal data, data collection and structure refinement details are summarized in Table 2.

Table 2
Experimental details

Crystal data
Chemical formula	Ce₂[Si₂O₇]
M_r	448.42
Crystal system, space group	Triclinic, P $[\overline{1}]$
Temperature (K)	293
a, b, c (Å)	6.7671 (4), 6.8228 (4), 12.4237 (8)
α, β, γ (°)	83.116 (2), 87.975 (2), 88.854 (2)
V (Å³)	569.05 (6)
Z	4
Radiation type	Mo Kα
μ (mm⁻¹)	16.20
Crystal size (mm)	0.05 × 0.03 × 0.01

Data collection
Diffractometer	Stadi-Vari
Absorption correction	Numerical (LANA; Koziskova et al., 2016 )
T_min, T_max	0.414, 0.808
No. of measured, independent and observed [I > 2σ(I)] reflections	23791, 4046, 3376
R_int	0.035
(sin θ/λ)_max (Å⁻¹)	0.767

Refinement
R[F² > 2σ(F²)], wR(F²), S	0.030, 0.075, 1.00
No. of reflections	4046
No. of parameters	199
Δρ_max, Δρ_min (e Å⁻³)	2.54, −2.81
Computer programs: X-AREA (Stoe, 2020 ), SHELXS97 and SHELXL97 (Sheldrick, 2008 ) and DIAMOND (Brandenburg & Putz, 2005 ).

Structural data

CCDC reference: 2222660

Crystal structure: contains datablocks I, 1R. DOI: https://doi.org/10.1107/S2414314623005916/wm4192sup1.cif

Structure factors: contains datablock I. DOI: https://doi.org/10.1107/S2414314623005916/wm4192Isup2.hkl

checkCIF report

Computing details top

Data collection: X-AREA (Stoe, 2020); cell refinement: X-AREA (Stoe, 2020); data reduction: X-AREA (Stoe, 2020); program(s) used to solve structure: SHELXS97 (Sheldrick, 2008); program(s) used to refine structure: SHELXL97 (Sheldrick, 2008); molecular graphics: DIAMOND (Brandenburg & Putz, 2005); software used to prepare material for publication: SHELXL97 (Sheldrick, 2008).

Dicerium(III) oxidodisilicate top

Crystal data top

Ce₂[Si₂O₇]	Z = 4
M_r = 448.42	F(000) = 800
Triclinic, P1	D_x = 5.234 Mg m⁻³
Hall symbol: -P 1	Mo Kα radiation, λ = 0.71073 Å
a = 6.7671 (4) Å	Cell parameters from 23784 reflections
b = 6.8228 (4) Å	θ = 1.7–33.1°
c = 12.4237 (8) Å	µ = 16.20 mm⁻¹
α = 83.116 (2)°	T = 293 K
β = 87.975 (2)°	Platelet, colourless
γ = 88.854 (2)°	0.05 × 0.03 × 0.01 mm
V = 569.05 (6) Å³

Data collection top

Stadi-Vari diffractometer	4046 independent reflections
Radiation source: fine-focus sealed tube	3376 reflections with I > 2σ(I)
Graphite monochromator	R_int = 0.035
Detector resolution: 5.81 pixels mm^-1	θ_max = 33.0°, θ_min = 1.7°
DECTRIS PILATUS 200K scans	h = −10→10
Absorption correction: numerical (LANA; Koziskova et al., 2016)	k = −10→10
T_min = 0.414, T_max = 0.808	l = −19→19
23791 measured reflections

Refinement top

Refinement on F²	0 restraints
Least-squares matrix: full	Primary atom site location: structure-invariant direct methods
R[F² > 2σ(F²)] = 0.030	Secondary atom site location: difference Fourier map
wR(F²) = 0.075	w = 1/[σ²(F_o²) + (0.0498P)²] where P = (F_o² + 2F_c²)/3
S = 1.00	(Δ/σ)_max < 0.001
4046 reflections	Δρ_max = 2.54 e Å⁻³
199 parameters	Δρ_min = −2.81 e Å⁻³

Special details top

Geometry. All esds (except the esd in the dihedral angle between two l.s. planes) are estimated using the full covariance matrix. The cell esds are taken into account individually in the estimation of esds in distances, angles and torsion angles; correlations between esds in cell parameters are only used when they are defined by crystal symmetry. An approximate (isotropic) treatment of cell esds is used for estimating esds involving l.s. planes.

Refinement. Refinement of F² against ALL reflections. The weighted R-factor wR and goodness of fit S are based on F², conventional R-factors R are based on F, with F set to zero for negative F². The threshold expression of F² > 2sigma(F²) is used only for calculating R-factors(gt) etc. and is not relevant to the choice of reflections for refinement. R-factors based on F² are statistically about twice as large as those based on F, and R- factors based on ALL data will be even larger.

Fractional atomic coordinates and isotropic or equivalent isotropic displacement parameters (Å²) top

	x	y	z	U_iso*/U_eq
Ce1	0.23961 (4)	0.21088 (4)	0.35322 (2)	0.01505 (7)
Ce2	0.37019 (4)	0.36951 (4)	0.63911 (2)	0.01288 (7)
Ce4	0.07768 (4)	0.83629 (4)	0.15567 (2)	0.01239 (7)
Ce3	0.67603 (4)	0.23866 (4)	0.13758 (2)	0.01296 (7)
Si1	0.4321 (2)	0.2825 (2)	0.89563 (11)	0.0115 (2)
Si2	0.1605 (2)	0.3171 (2)	0.08912 (11)	0.0120 (2)
Si3	0.1616 (2)	0.6927 (2)	0.41176 (11)	0.0116 (2)
Si4	0.7737 (2)	0.1022 (2)	0.39232 (11)	0.0122 (2)
O1	0.3784 (6)	0.8159 (5)	0.0460 (3)	0.0138 (7)
O2	0.4898 (6)	0.4620 (5)	0.8025 (3)	0.0142 (7)
O3	0.2938 (6)	0.1348 (5)	0.8380 (3)	0.0152 (7)
O4	0.3020 (6)	0.4046 (5)	0.9831 (3)	0.0144 (7)
O5	0.0549 (6)	0.4850 (6)	0.1496 (3)	0.0204 (8)
O6	0.3068 (6)	0.1720 (5)	0.1671 (3)	0.0135 (7)
O7	0.9958 (6)	0.1729 (6)	0.0479 (3)	0.0151 (7)
O8	0.0207 (6)	0.3667 (6)	0.6549 (3)	0.0157 (7)
O9	0.2996 (6)	0.8508 (5)	0.3356 (3)	0.0161 (7)
O10	0.3069 (6)	0.5021 (5)	0.4473 (3)	0.0144 (7)
O11	0.9092 (6)	0.2162 (5)	0.4758 (3)	0.0140 (7)
O12	0.3041 (6)	0.0981 (6)	0.5432 (3)	0.0163 (7)
O13	0.5976 (6)	0.2494 (6)	0.3458 (3)	0.0156 (7)
O14	0.9272 (6)	0.0858 (5)	0.2895 (3)	0.0152 (7)

Atomic displacement parameters (Å²) top

	U¹¹	U²²	U³³	U¹²	U¹³	U²³
Ce1	0.01240 (13)	0.01724 (13)	0.01669 (14)	−0.00301 (10)	0.00049 (10)	−0.00672 (10)
Ce2	0.01202 (13)	0.01287 (12)	0.01415 (13)	−0.00143 (9)	−0.00067 (10)	−0.00300 (9)
Ce4	0.01122 (13)	0.01164 (12)	0.01448 (13)	0.00012 (9)	0.00034 (9)	−0.00260 (9)
Ce3	0.01290 (13)	0.01218 (12)	0.01400 (13)	0.00150 (9)	0.00060 (10)	−0.00289 (9)
Si1	0.0113 (6)	0.0107 (6)	0.0129 (6)	−0.0003 (5)	−0.0001 (5)	−0.0034 (4)
Si2	0.0102 (6)	0.0121 (6)	0.0135 (6)	−0.0006 (5)	0.0002 (5)	−0.0015 (5)
Si3	0.0121 (6)	0.0099 (6)	0.0128 (6)	0.0008 (5)	−0.0011 (5)	−0.0018 (5)
Si4	0.0092 (6)	0.0148 (6)	0.0131 (6)	0.0026 (5)	−0.0011 (5)	−0.0041 (5)
O1	0.0108 (16)	0.0161 (16)	0.0153 (17)	−0.0003 (13)	−0.0006 (13)	−0.0048 (13)
O2	0.0168 (18)	0.0111 (15)	0.0150 (16)	−0.0021 (13)	−0.0014 (13)	−0.0019 (12)
O3	0.0141 (17)	0.0124 (16)	0.0202 (18)	−0.0004 (13)	−0.0037 (14)	−0.0058 (13)
O4	0.0132 (17)	0.0150 (16)	0.0147 (17)	−0.0007 (13)	0.0043 (13)	−0.0025 (13)
O5	0.021 (2)	0.0129 (17)	0.028 (2)	−0.0013 (15)	0.0074 (16)	−0.0077 (15)
O6	0.0129 (17)	0.0142 (16)	0.0135 (16)	0.0006 (13)	0.0004 (13)	−0.0032 (13)
O7	0.0149 (17)	0.0154 (16)	0.0158 (17)	−0.0025 (14)	−0.0009 (14)	−0.0044 (13)
O8	0.0119 (17)	0.0204 (18)	0.0159 (17)	−0.0027 (14)	−0.0009 (13)	−0.0058 (14)
O9	0.0142 (18)	0.0142 (17)	0.0195 (18)	0.0007 (13)	0.0016 (14)	−0.0003 (13)
O10	0.0152 (18)	0.0130 (16)	0.0150 (17)	0.0036 (13)	0.0010 (13)	−0.0023 (13)
O11	0.0144 (17)	0.0149 (16)	0.0141 (16)	−0.0007 (13)	0.0008 (13)	−0.0074 (13)
O12	0.0189 (19)	0.0148 (17)	0.0156 (17)	−0.0027 (14)	0.0010 (14)	−0.0032 (13)
O13	0.0131 (17)	0.0162 (17)	0.0169 (17)	0.0012 (13)	−0.0042 (14)	0.0013 (13)
O14	0.0130 (17)	0.0132 (16)	0.0192 (18)	−0.0012 (13)	0.0006 (14)	−0.0018 (13)

Geometric parameters (Å, º) top

Ce1—O6	2.386 (4)	Ce3—Si1^x	3.4591 (15)
Ce1—O13	2.439 (4)	Si1—O1ⁱⁱⁱ	1.592 (4)
Ce1—O12	2.445 (4)	Si1—O2	1.624 (4)
Ce1—O10	2.480 (4)	Si1—O3	1.632 (4)
Ce1—O14ⁱ	2.486 (4)	Si1—O4	1.664 (4)
Ce1—O9ⁱⁱ	2.516 (4)	Si1—Ce3ⁱⁱⁱ	3.3138 (14)
Ce1—O11ⁱ	2.663 (4)	Si1—Ce4ⁱⁱⁱ	3.4549 (14)
Ce1—Si4ⁱ	3.2597 (15)	Si1—Ce3^xi	3.4591 (15)
Ce1—Si2	3.3340 (15)	Si2—O5	1.589 (4)
Ce1—Si3	3.4775 (14)	Si2—O7ⁱ	1.636 (4)
Ce1—Ce3	3.9086 (4)	Si2—O6	1.642 (4)
Ce1—Ce4ⁱⁱ	3.9449 (4)	Si2—O4^x	1.660 (4)
Ce2—O8	2.366 (4)	Si2—Ce4ⁱⁱ	3.3391 (14)
Ce2—O2	2.370 (4)	Si2—Ce3ⁱ	3.3544 (14)
Ce2—O12	2.376 (4)	Si3—O8^v	1.595 (4)
Ce2—O10	2.494 (4)	Si3—O9	1.632 (4)
Ce2—O10ⁱⁱⁱ	2.526 (4)	Si3—O10	1.641 (4)
Ce2—O13ⁱⁱⁱ	2.643 (4)	Si3—O11ⁱⁱⁱ	1.648 (4)
Ce2—O9ⁱⁱⁱ	2.675 (4)	Si3—Ce2ⁱⁱⁱ	3.2386 (15)
Ce2—O3	2.817 (4)	Si4—O12^iv	1.588 (4)
Ce2—Si1	3.2118 (14)	Si4—O13	1.620 (4)
Ce2—Si3ⁱⁱⁱ	3.2386 (15)	Si4—O14	1.631 (4)
Ce2—Si4^iv	3.4514 (15)	Si4—O11	1.676 (4)
Ce2—Ce1ⁱⁱⁱ	3.9450 (4)	Si4—Ce1^ix	3.2597 (15)
Ce4—O5	2.415 (4)	Si4—Ce2^iv	3.4514 (15)
Ce4—O1	2.420 (4)	O1—Si1ⁱⁱⁱ	1.593 (4)
Ce4—O3^v	2.517 (4)	O1—Ce3^vii	2.396 (4)
Ce4—O7^vi	2.576 (4)	O2—Ce3ⁱⁱⁱ	2.490 (4)
Ce4—O7^vii	2.603 (4)	O3—Ce4^v	2.517 (4)
Ce4—O8^v	2.655 (4)	O3—Ce3^iv	2.534 (4)
Ce4—O14^vi	2.681 (4)	O4—Si2^xi	1.660 (4)
Ce4—O9	2.749 (4)	O4—Ce3ⁱⁱⁱ	2.705 (4)
Ce4—O6^viii	2.812 (4)	O6—Ce4ⁱⁱ	2.812 (4)
Ce4—Si3	3.2807 (14)	O7—Si2^ix	1.636 (4)
Ce4—Si2^viii	3.3391 (14)	O7—Ce4^xii	2.576 (4)
Ce4—Si1ⁱⁱⁱ	3.4549 (14)	O7—Ce4^vii	2.603 (4)
Ce3—O1^vii	2.396 (4)	O8—Si3^v	1.595 (4)
Ce3—O7	2.457 (4)	O8—Ce4^v	2.655 (4)
Ce3—O2ⁱⁱⁱ	2.490 (4)	O9—Ce1^viii	2.516 (4)
Ce3—O3^iv	2.534 (4)	O9—Ce2ⁱⁱⁱ	2.675 (4)
Ce3—O6	2.555 (4)	O10—Ce2ⁱⁱⁱ	2.526 (4)
Ce3—O13	2.632 (4)	O11—Si3ⁱⁱⁱ	1.648 (4)
Ce3—O14	2.687 (4)	O11—Ce1^ix	2.663 (4)
Ce3—O4ⁱⁱⁱ	2.705 (4)	O12—Si4^iv	1.588 (4)
Ce3—Si4	3.2767 (15)	O13—Ce2ⁱⁱⁱ	2.643 (4)
Ce3—Si1ⁱⁱⁱ	3.3138 (14)	O14—Ce1^ix	2.486 (4)
Ce3—Si2^ix	3.3545 (14)	O14—Ce4^xii	2.681 (4)

O6—Ce1—O13	80.46 (13)	O1^vii—Ce3—O13	158.15 (12)
O6—Ce1—O12	147.59 (13)	O7—Ce3—O13	128.05 (12)
O13—Ce1—O12	81.45 (13)	O2ⁱⁱⁱ—Ce3—O13	61.06 (12)
O6—Ce1—O10	127.63 (12)	O3^iv—Ce3—O13	92.21 (12)
O13—Ce1—O10	73.40 (13)	O6—Ce3—O13	73.85 (12)
O12—Ce1—O10	71.25 (12)	O1^vii—Ce3—O14	134.41 (12)
O6—Ce1—O14ⁱ	75.12 (13)	O7—Ce3—O14	71.46 (12)
O13—Ce1—O14ⁱ	152.98 (13)	O2ⁱⁱⁱ—Ce3—O14	109.22 (12)
O12—Ce1—O14ⁱ	113.96 (13)	O3^iv—Ce3—O14	64.76 (12)
O10—Ce1—O14ⁱ	131.49 (12)	O6—Ce3—O14	119.09 (12)
O6—Ce1—O9ⁱⁱ	70.85 (13)	O13—Ce3—O14	58.17 (12)
O13—Ce1—O9ⁱⁱ	87.75 (13)	O1^vii—Ce3—O4ⁱⁱⁱ	73.44 (12)
O12—Ce1—O9ⁱⁱ	81.79 (12)	O7—Ce3—O4ⁱⁱⁱ	84.49 (12)
O10—Ce1—O9ⁱⁱ	148.87 (13)	O2ⁱⁱⁱ—Ce3—O4ⁱⁱⁱ	58.16 (11)
O14ⁱ—Ce1—O9ⁱⁱ	73.55 (13)	O3^iv—Ce3—O4ⁱⁱⁱ	152.59 (11)
O6—Ce1—O11ⁱ	133.66 (12)	O6—Ce3—O4ⁱⁱⁱ	105.35 (12)
O13—Ce1—O11ⁱ	145.82 (12)	O13—Ce3—O4ⁱⁱⁱ	115.11 (11)
O12—Ce1—O11ⁱ	69.02 (12)	O14—Ce3—O4ⁱⁱⁱ	127.02 (11)
O10—Ce1—O11ⁱ	80.90 (11)	O1^vii—Ce3—Si4	154.61 (9)
O14ⁱ—Ce1—O11ⁱ	59.92 (12)	O7—Ce3—Si4	101.12 (9)
O9ⁱⁱ—Ce1—O11ⁱ	104.08 (12)	O2ⁱⁱⁱ—Ce3—Si4	87.58 (9)
O6—Ce1—Si4ⁱ	104.09 (9)	O3^iv—Ce3—Si4	72.78 (9)
O13—Ce1—Si4ⁱ	171.06 (9)	O6—Ce3—Si4	93.50 (9)
O12—Ce1—Si4ⁱ	90.92 (10)	O13—Ce3—Si4	29.31 (9)
O10—Ce1—Si4ⁱ	108.63 (9)	O14—Ce3—Si4	29.70 (8)
O14ⁱ—Ce1—Si4ⁱ	29.22 (9)	O4ⁱⁱⁱ—Ce3—Si4	130.95 (8)
O9ⁱⁱ—Ce1—Si4ⁱ	86.55 (9)	O1^vii—Ce3—Si1ⁱⁱⁱ	96.03 (9)
O11ⁱ—Ce1—Si4ⁱ	30.83 (8)	O7—Ce3—Si1ⁱⁱⁱ	110.56 (9)
O6—Ce1—Si2	27.50 (9)	O2ⁱⁱⁱ—Ce3—Si1ⁱⁱⁱ	28.21 (9)
O13—Ce1—Si2	98.21 (9)	O3^iv—Ce3—Si1ⁱⁱⁱ	171.84 (9)
O12—Ce1—Si2	174.13 (9)	O6—Ce3—Si1ⁱⁱⁱ	88.46 (9)
O10—Ce1—Si2	114.33 (9)	O13—Ce3—Si1ⁱⁱⁱ	86.88 (9)
O14ⁱ—Ce1—Si2	64.12 (9)	O14—Ce3—Si1ⁱⁱⁱ	121.00 (8)
O9ⁱⁱ—Ce1—Si2	92.34 (9)	O4ⁱⁱⁱ—Ce3—Si1ⁱⁱⁱ	29.98 (8)
O11ⁱ—Ce1—Si2	112.92 (9)	Si4—Ce3—Si1ⁱⁱⁱ	109.25 (3)
Si4ⁱ—Ce1—Si2	88.90 (4)	O1^vii—Ce3—Si2^ix	93.12 (9)
O6—Ce1—Si3	116.03 (9)	O7—Ce3—Si2^ix	27.57 (9)
O13—Ce1—Si3	91.87 (10)	O2ⁱⁱⁱ—Ce3—Si2^ix	110.34 (9)
O12—Ce1—Si3	91.19 (9)	O3^iv—Ce3—Si2^ix	95.45 (9)
O10—Ce1—Si3	25.65 (9)	O6—Ce3—Si2^ix	177.57 (8)
O14ⁱ—Ce1—Si3	109.06 (9)	O13—Ce3—Si2^ix	108.41 (9)
O9ⁱⁱ—Ce1—Si3	172.95 (9)	O14—Ce3—Si2^ix	62.18 (8)
O11ⁱ—Ce1—Si3	72.54 (8)	O4ⁱⁱⁱ—Ce3—Si2^ix	74.63 (9)
Si4ⁱ—Ce1—Si3	92.94 (3)	Si4—Ce3—Si2^ix	88.27 (4)
Si2—Ce1—Si3	94.68 (3)	Si1ⁱⁱⁱ—Ce3—Si2^ix	92.53 (3)
O6—Ce1—Ce3	39.25 (9)	O1^vii—Ce3—Si1^x	23.77 (9)
O13—Ce1—Ce3	41.41 (9)	O7—Ce3—Si1^x	92.53 (9)
O12—Ce1—Ce3	119.59 (9)	O2ⁱⁱⁱ—Ce3—Si1^x	93.20 (9)
O10—Ce1—Ce3	100.84 (9)	O3^iv—Ce3—Si1^x	96.79 (9)
O14ⁱ—Ce1—Ce3	114.11 (9)	O6—Ce3—Si1^x	68.02 (9)
O9ⁱⁱ—Ce1—Ce3	78.88 (9)	O13—Ce3—Si1^x	139.39 (9)
O11ⁱ—Ce1—Ce3	171.37 (9)	O14—Ce3—Si1^x	157.57 (8)
Si4ⁱ—Ce1—Ce3	143.27 (3)	O4ⁱⁱⁱ—Ce3—Si1^x	64.36 (8)
Si2—Ce1—Ce3	58.60 (3)	Si4—Ce3—Si1^x	160.04 (4)
Si3—Ce1—Ce3	105.38 (2)	Si1ⁱⁱⁱ—Ce3—Si1^x	78.82 (4)
O6—Ce1—Ce4ⁱⁱ	44.83 (9)	Si2^ix—Ce3—Si1^x	110.00 (3)
O13—Ce1—Ce4ⁱⁱ	111.23 (9)	O1ⁱⁱⁱ—Si1—O2	112.2 (2)
O12—Ce1—Ce4ⁱⁱ	120.79 (9)	O1ⁱⁱⁱ—Si1—O3	116.1 (2)
O10—Ce1—Ce4ⁱⁱ	167.15 (9)	O2—Si1—O3	106.2 (2)
O14ⁱ—Ce1—Ce4ⁱⁱ	42.09 (9)	O1ⁱⁱⁱ—Si1—O4	108.8 (2)
O9ⁱⁱ—Ce1—Ce4ⁱⁱ	43.77 (9)	O2—Si1—O4	100.67 (19)
O11ⁱ—Ce1—Ce4ⁱⁱ	98.80 (8)	O3—Si1—O4	111.8 (2)
Si4ⁱ—Ce1—Ce4ⁱⁱ	68.76 (2)	O1ⁱⁱⁱ—Si1—Ce2	126.94 (14)
Si2—Ce1—Ce4ⁱⁱ	53.82 (2)	O2—Si1—Ce2	45.33 (13)
Si3—Ce1—Ce4ⁱⁱ	142.11 (3)	O3—Si1—Ce2	61.23 (15)
Ce3—Ce1—Ce4ⁱⁱ	77.595 (9)	O4—Si1—Ce2	121.26 (15)
O8—Ce2—O2	107.78 (13)	O1ⁱⁱⁱ—Si1—Ce3ⁱⁱⁱ	125.40 (15)
O8—Ce2—O12	79.73 (13)	O2—Si1—Ce3ⁱⁱⁱ	46.43 (13)
O2—Ce2—O12	144.59 (13)	O3—Si1—Ce3ⁱⁱⁱ	118.24 (15)
O8—Ce2—O10	83.10 (13)	O4—Si1—Ce3ⁱⁱⁱ	54.31 (13)
O2—Ce2—O10	142.07 (12)	Ce2—Si1—Ce3ⁱⁱⁱ	77.32 (3)
O12—Ce2—O10	72.15 (13)	O1ⁱⁱⁱ—Si1—Ce4ⁱⁱⁱ	38.46 (14)
O8—Ce2—O10ⁱⁱⁱ	152.66 (13)	O2—Si1—Ce4ⁱⁱⁱ	79.83 (15)
O2—Ce2—O10ⁱⁱⁱ	85.76 (13)	O3—Si1—Ce4ⁱⁱⁱ	108.61 (15)
O12—Ce2—O10ⁱⁱⁱ	103.20 (12)	O4—Si1—Ce4ⁱⁱⁱ	137.53 (15)
O10—Ce2—O10ⁱⁱⁱ	72.34 (14)	Ce2—Si1—Ce4ⁱⁱⁱ	89.45 (3)
O8—Ce2—O13ⁱⁱⁱ	95.55 (13)	Ce3ⁱⁱⁱ—Si1—Ce4ⁱⁱⁱ	114.92 (4)
O2—Ce2—O13ⁱⁱⁱ	62.31 (12)	O1ⁱⁱⁱ—Si1—Ce3^xi	37.34 (13)
O12—Ce2—O13ⁱⁱⁱ	152.92 (13)	O2—Si1—Ce3^xi	118.77 (15)
O10—Ce2—O13ⁱⁱⁱ	80.83 (12)	O3—Si1—Ce3^xi	133.73 (16)
O10ⁱⁱⁱ—Ce2—O13ⁱⁱⁱ	69.29 (12)	O4—Si1—Ce3^xi	71.50 (14)
O8—Ce2—O9ⁱⁱⁱ	144.80 (13)	Ce2—Si1—Ce3^xi	158.39 (5)
O2—Ce2—O9ⁱⁱⁱ	77.89 (13)	Ce3ⁱⁱⁱ—Si1—Ce3^xi	101.18 (4)
O12—Ce2—O9ⁱⁱⁱ	77.40 (13)	Ce4ⁱⁱⁱ—Si1—Ce3^xi	71.44 (3)
O10—Ce2—O9ⁱⁱⁱ	114.27 (12)	O5—Si2—O7ⁱ	110.3 (2)
O10ⁱⁱⁱ—Ce2—O9ⁱⁱⁱ	60.08 (12)	O5—Si2—O6	113.3 (2)
O13ⁱⁱⁱ—Ce2—O9ⁱⁱⁱ	116.64 (12)	O7ⁱ—Si2—O6	105.8 (2)
O8—Ce2—O3	76.47 (13)	O5—Si2—O4^x	113.3 (2)
O2—Ce2—O3	59.52 (11)	O7ⁱ—Si2—O4^x	108.5 (2)
O12—Ce2—O3	90.43 (12)	O6—Si2—O4^x	105.2 (2)
O10—Ce2—O3	155.27 (12)	O5—Si2—Ce1	72.52 (17)
O10ⁱⁱⁱ—Ce2—O3	130.15 (12)	O7ⁱ—Si2—Ce1	111.94 (15)
O13ⁱⁱⁱ—Ce2—O3	114.59 (11)	O6—Si2—Ce1	42.13 (13)
O9ⁱⁱⁱ—Ce2—O3	77.30 (11)	O4^x—Si2—Ce1	133.61 (15)
O8—Ce2—Si1	94.61 (10)	O5—Si2—Ce4ⁱⁱ	123.40 (16)
O2—Ce2—Si1	29.17 (9)	O7ⁱ—Si2—Ce4ⁱⁱ	48.86 (14)
O12—Ce2—Si1	118.01 (10)	O6—Si2—Ce4ⁱⁱ	57.20 (13)
O10—Ce2—Si1	169.12 (8)	O4^x—Si2—Ce4ⁱⁱ	123.07 (14)
O10ⁱⁱⁱ—Ce2—Si1	107.23 (9)	Ce1—Si2—Ce4ⁱⁱ	72.48 (3)
O13ⁱⁱⁱ—Ce2—Si1	88.84 (9)	O5—Si2—Ce3ⁱ	67.40 (16)
O9ⁱⁱⁱ—Ce2—Si1	73.43 (9)	O7ⁱ—Si2—Ce3ⁱ	44.01 (14)
O3—Ce2—Si1	30.51 (8)	O6—Si2—Ce3ⁱ	114.70 (14)
O8—Ce2—Si3ⁱⁱⁱ	169.04 (9)	O4^x—Si2—Ce3ⁱ	135.93 (15)
O2—Ce2—Si3ⁱⁱⁱ	81.72 (10)	Ce1—Si2—Ce3ⁱ	89.90 (3)
O12—Ce2—Si3ⁱⁱⁱ	89.35 (10)	Ce4ⁱⁱ—Si2—Ce3ⁱ	69.54 (3)
O10—Ce2—Si3ⁱⁱⁱ	92.69 (9)	O8^v—Si3—O9	109.9 (2)
O10ⁱⁱⁱ—Ce2—Si3ⁱⁱⁱ	29.96 (9)	O8^v—Si3—O10	111.7 (2)
O13ⁱⁱⁱ—Ce2—Si3ⁱⁱⁱ	93.75 (9)	O9—Si3—O10	105.6 (2)
O9ⁱⁱⁱ—Ce2—Si3ⁱⁱⁱ	30.16 (9)	O8^v—Si3—O11ⁱⁱⁱ	112.5 (2)
O3—Ce2—Si3ⁱⁱⁱ	104.81 (8)	O9—Si3—O11ⁱⁱⁱ	110.1 (2)
Si1—Ce2—Si3ⁱⁱⁱ	91.36 (4)	O10—Si3—O11ⁱⁱⁱ	106.8 (2)
O8—Ce2—Si4^iv	72.98 (10)	O8^v—Si3—Ce2ⁱⁱⁱ	128.57 (15)
O2—Ce2—Si4^iv	123.96 (9)	O9—Si3—Ce2ⁱⁱⁱ	55.43 (14)
O12—Ce2—Si4^iv	23.56 (9)	O10—Si3—Ce2ⁱⁱⁱ	50.22 (14)
O10—Ce2—Si4^iv	93.93 (9)	O11ⁱⁱⁱ—Si3—Ce2ⁱⁱⁱ	118.79 (15)
O10ⁱⁱⁱ—Ce2—Si4^iv	119.59 (8)	O8^v—Si3—Ce4	53.26 (15)
O13ⁱⁱⁱ—Ce2—Si4^iv	167.97 (9)	O9—Si3—Ce4	56.77 (15)
O9ⁱⁱⁱ—Ce2—Si4^iv	75.37 (9)	O10—Si3—Ce4	121.00 (14)
O3—Ce2—Si4^iv	66.98 (8)	O11ⁱⁱⁱ—Si3—Ce4	132.16 (15)
Si1—Ce2—Si4^iv	95.56 (3)	Ce2ⁱⁱⁱ—Si3—Ce4	92.12 (4)
Si3ⁱⁱⁱ—Ce2—Si4^iv	97.33 (3)	O8^v—Si3—Ce1	71.73 (15)
O8—Ce2—Ce1ⁱⁱⁱ	132.77 (9)	O9—Si3—Ce1	112.56 (14)
O2—Ce2—Ce1ⁱⁱⁱ	56.85 (9)	O10—Si3—Ce1	40.86 (13)
O12—Ce2—Ce1ⁱⁱⁱ	140.76 (9)	O11ⁱⁱⁱ—Si3—Ce1	132.06 (15)
O10—Ce2—Ce1ⁱⁱⁱ	88.69 (9)	Ce2ⁱⁱⁱ—Si3—Ce1	71.85 (3)
O10ⁱⁱⁱ—Ce2—Ce1ⁱⁱⁱ	37.59 (8)	Ce4—Si3—Ce1	90.17 (3)
O13ⁱⁱⁱ—Ce2—Ce1ⁱⁱⁱ	37.25 (9)	O12^iv—Si4—O13	113.3 (2)
O9ⁱⁱⁱ—Ce2—Ce1ⁱⁱⁱ	80.15 (8)	O12^iv—Si4—O14	117.4 (2)
O3—Ce2—Ce1ⁱⁱⁱ	115.42 (8)	O13—Si4—O14	105.4 (2)
Si1—Ce2—Ce1ⁱⁱⁱ	85.07 (3)	O12^iv—Si4—O11	108.3 (2)
Si3ⁱⁱⁱ—Ce2—Ce1ⁱⁱⁱ	56.89 (2)	O13—Si4—O11	109.4 (2)
Si4^iv—Ce2—Ce1ⁱⁱⁱ	154.20 (3)	O14—Si4—O11	102.3 (2)
O5—Ce4—O1	85.88 (13)	O12^iv—Si4—Ce1^ix	124.17 (16)
O5—Ce4—O3^v	89.90 (13)	O13—Si4—Ce1^ix	122.54 (15)
O1—Ce4—O3^v	147.59 (13)	O14—Si4—Ce1^ix	48.06 (14)
O5—Ce4—O7^vi	142.34 (14)	O11—Si4—Ce1^ix	54.50 (13)
O1—Ce4—O7^vi	89.55 (12)	O12^iv—Si4—Ce3	122.57 (15)
O3^v—Ce4—O7^vi	74.52 (12)	O13—Si4—Ce3	52.68 (14)
O5—Ce4—O7^vii	79.14 (14)	O14—Si4—Ce3	54.71 (15)
O1—Ce4—O7^vii	68.22 (12)	O11—Si4—Ce3	129.08 (15)
O3^v—Ce4—O7^vii	79.42 (12)	Ce1^ix—Si4—Ce3	92.60 (4)
O7^vi—Ce4—O7^vii	64.55 (13)	O12^iv—Si4—Ce2^iv	36.72 (14)
O5—Ce4—O8^v	66.01 (13)	O13—Si4—Ce2^iv	106.37 (15)
O1—Ce4—O8^v	128.92 (13)	O14—Si4—Ce2^iv	86.82 (14)
O3^v—Ce4—O8^v	77.17 (12)	O11—Si4—Ce2^iv	138.90 (15)
O7^vi—Ce4—O8^v	138.50 (12)	Ce1^ix—Si4—Ce2^iv	118.44 (4)
O7^vii—Ce4—O8^v	137.57 (12)	Ce3—Si4—Ce2^iv	88.97 (3)
O5—Ce4—O14^vi	134.07 (13)	Si1ⁱⁱⁱ—O1—Ce3^vii	118.88 (19)
O1—Ce4—O14^vi	135.66 (12)	Si1ⁱⁱⁱ—O1—Ce4	117.4 (2)
O3^v—Ce4—O14^vi	65.09 (12)	Ce3^vii—O1—Ce4	113.89 (15)
O7^vi—Ce4—O14^vi	69.81 (12)	Si1—O2—Ce2	105.51 (18)
O7^vii—Ce4—O14^vi	127.90 (12)	Si1—O2—Ce3ⁱⁱⁱ	105.37 (18)
O8^v—Ce4—O14^vi	70.98 (12)	Ce2—O2—Ce3ⁱⁱⁱ	114.04 (15)
O5—Ce4—O9	101.90 (14)	Si1—O3—Ce4^v	122.03 (19)
O1—Ce4—O9	89.74 (12)	Si1—O3—Ce3^iv	125.0 (2)
O3^v—Ce4—O9	122.51 (12)	Ce4^v—O3—Ce3^iv	98.17 (13)
O7^vi—Ce4—O9	115.46 (11)	Si1—O3—Ce2	88.26 (16)
O7^vii—Ce4—O9	157.89 (12)	Ce4^v—O3—Ce2	98.75 (13)
O8^v—Ce4—O9	58.52 (12)	Ce3^iv—O3—Ce2	123.54 (14)
O14^vi—Ce4—O9	66.93 (12)	Si2^xi—O4—Si1	129.2 (2)
O5—Ce4—O6^viii	150.12 (13)	Si2^xi—O4—Ce3ⁱⁱⁱ	133.16 (19)
O1—Ce4—O6^viii	70.33 (11)	Si1—O4—Ce3ⁱⁱⁱ	95.71 (16)
O3^v—Ce4—O6^viii	119.89 (11)	Si2—O5—Ce4	138.9 (2)
O7^vi—Ce4—O6^viii	57.87 (11)	Si2—O6—Ce1	110.37 (18)
O7^vii—Ce4—O6^viii	106.96 (11)	Si2—O6—Ce3	115.34 (19)
O8^v—Ce4—O6^viii	115.35 (11)	Ce1—O6—Ce3	104.53 (14)
O14^vi—Ce4—O6^viii	65.44 (11)	Si2—O6—Ce4ⁱⁱ	93.40 (16)
O9—Ce4—O6^viii	61.50 (11)	Ce1—O6—Ce4ⁱⁱ	98.43 (12)
O5—Ce4—Si3	82.23 (11)	Ce3—O6—Ce4ⁱⁱ	132.92 (14)
O1—Ce4—Si3	110.48 (9)	Si2^ix—O7—Ce3	108.42 (18)
O3^v—Ce4—Si3	100.71 (9)	Si2^ix—O7—Ce4^xii	102.57 (19)
O7^vi—Ce4—Si3	133.72 (8)	Ce3—O7—Ce4^xii	98.63 (13)
O7^vii—Ce4—Si3	161.37 (9)	Si2^ix—O7—Ce4^vii	123.2 (2)
O8^v—Ce4—Si3	28.79 (9)	Ce3—O7—Ce4^vii	105.80 (14)
O14^vi—Ce4—Si3	66.87 (9)	Ce4^xii—O7—Ce4^vii	115.45 (13)
O9—Ce4—Si3	29.77 (8)	Si3^v—O8—Ce2	138.7 (2)
O6^viii—Ce4—Si3	89.27 (8)	Si3^v—O8—Ce4^v	97.95 (18)
O5—Ce4—Si2^viii	163.01 (10)	Ce2—O8—Ce4^v	107.50 (15)
O1—Ce4—Si2^viii	80.50 (9)	Si3—O9—Ce1^viii	117.11 (19)
O3^v—Ce4—Si2^viii	96.17 (9)	Si3—O9—Ce2ⁱⁱⁱ	94.41 (17)
O7^vi—Ce4—Si2^viii	28.57 (9)	Ce1^viii—O9—Ce2ⁱⁱⁱ	130.18 (16)
O7^vii—Ce4—Si2^viii	86.37 (9)	Si3—O9—Ce4	93.46 (17)
O8^v—Ce4—Si2^viii	130.82 (8)	Ce1^viii—O9—Ce4	96.94 (13)
O14^vi—Ce4—Si2^viii	62.47 (8)	Ce2ⁱⁱⁱ—O9—Ce4	119.87 (14)
O9—Ce4—Si2^viii	88.21 (8)	Si3—O10—Ce1	113.49 (19)
O6^viii—Ce4—Si2^viii	29.40 (8)	Si3—O10—Ce2	124.03 (18)
Si3—Ce4—Si2^viii	112.00 (3)	Ce1—O10—Ce2	105.83 (14)
O5—Ce4—Si1ⁱⁱⁱ	79.59 (10)	Si3—O10—Ce2ⁱⁱⁱ	99.82 (17)
O1—Ce4—Si1ⁱⁱⁱ	24.16 (9)	Ce1—O10—Ce2ⁱⁱⁱ	104.00 (12)
O3^v—Ce4—Si1ⁱⁱⁱ	166.44 (8)	Ce2—O10—Ce2ⁱⁱⁱ	107.66 (14)
O7^vi—Ce4—Si1ⁱⁱⁱ	108.85 (9)	Si3ⁱⁱⁱ—O11—Si4	128.8 (2)
O7^vii—Ce4—Si1ⁱⁱⁱ	90.11 (9)	Si3ⁱⁱⁱ—O11—Ce1^ix	136.4 (2)
O8^v—Ce4—Si1ⁱⁱⁱ	105.82 (9)	Si4—O11—Ce1^ix	94.67 (15)
O14^vi—Ce4—Si1ⁱⁱⁱ	128.47 (9)	Si4^iv—O12—Ce2	119.7 (2)
O9—Ce4—Si1ⁱⁱⁱ	68.63 (8)	Si4^iv—O12—Ce1	124.8 (2)
O6^viii—Ce4—Si1ⁱⁱⁱ	71.29 (8)	Ce2—O12—Ce1	110.77 (15)
Si3—Ce4—Si1ⁱⁱⁱ	86.45 (3)	Si4—O13—Ce1	131.2 (2)
Si2^viii—Ce4—Si1ⁱⁱⁱ	91.70 (3)	Si4—O13—Ce3	98.00 (18)
O1^vii—Ce3—O7	71.08 (13)	Ce1—O13—Ce3	100.78 (13)
O1^vii—Ce3—O2ⁱⁱⁱ	115.42 (13)	Si4—O13—Ce2ⁱⁱⁱ	118.1 (2)
O7—Ce3—O2ⁱⁱⁱ	134.51 (12)	Ce1—O13—Ce2ⁱⁱⁱ	101.75 (14)
O1^vii—Ce3—O3^iv	81.85 (13)	Ce3—O13—Ce2ⁱⁱⁱ	101.24 (13)
O7—Ce3—O3^iv	76.31 (12)	Si4—O14—Ce1^ix	102.72 (18)
O2ⁱⁱⁱ—Ce3—O3^iv	147.15 (12)	Si4—O14—Ce4^xii	143.4 (2)
O1^vii—Ce3—O6	84.56 (12)	Ce1^ix—O14—Ce4^xii	99.49 (13)
O7—Ce3—O6	150.12 (11)	Si4—O14—Ce3	95.60 (18)
O2ⁱⁱⁱ—Ce3—O6	71.43 (12)	Ce1^ix—O14—Ce3	131.95 (15)
O3^iv—Ce3—O6	83.50 (12)	Ce4^xii—O14—Ce3	90.65 (12)

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

Acknowledgements

We thank Dr Falk Lissner for the single-crystal X-ray diffraction measurements.

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