Crystal structure of chain silicate Cs3LuSi3O9

Kimura, H.; Yamane, H.

doi:10.1107/S2056989021011439

research communications

CRYSTALLOGRAPHIC
COMMUNICATIONS

ISSN: 2056-9890

Volume 77| Part 12| December 2021| Pages 1239-1242

https://doi.org/10.1107/S2056989021011439

Open

access

Crystal structure of chain silicate Cs₃LuSi₃O₉

Hiromitsu Kimura ^a and Hisanori Yamane ^b ^*

^aInorganic Materials Laboratory, Science & Innovation Center, Mitsubishi Chemical Corporation, 1000 Kamoshida-cho, Aoba-ku, Yokohama-shi, Kanagawa, 227-8502, Japan, and ^bInstitute of Multidisciplinary Research for Advanced Material, Tohoku University, 2-1-1 Katahira, Aoba-ku, Sendai, Miyagi, 980-8577, Japan
^*Correspondence e-mail: hisanori.yamane.a1@tohoku.ac.jp

Edited by A. M. Chippindale, University of Reading, England (Received 18 October 2021; accepted 29 October 2021; online 4 November 2021)

A caesium lutetium(III) silicate, Cs₃LuSi₃O₉, was synthesized by heating a pelletized mixture of Cs₂CO₃, Lu₂O₃ and SiO₂ at 1273 K. Single crystals of the title compound were grown in a melted area of the pellet. Cs₃LuSi₃O₉ is a single-chain silicate (orthorhombic space group Pna2₁) with a chain periodicity of six and is isostructural with Cs₃RE^IIIGe₃O₉ (RE = Pr, Nd and Sm–Yb). The two symmetry-dependent [Si₆O₁₈]¹²⁻ chains in the unit cell lie parallel to the [011] direction. The Lu³⁺ ions are octahedrally coordinated by O atoms of the silicate chains, generating a three-dimensional framework. Cs⁺ ions are located in the voids in the framework.

Keywords: caesium lutetium(III) silicate; crystal structure; single-chain silicate.

CCDC reference: 2118472

1. Chemical context

A lutetium(III) silicate, Lu₂SiO₅, containing the highest atomic weight rare-earth element, has been studied as the host crystal of a scintillator for radiation detection (Dorenbos et al., 1994 ; Melcher & Schweitzer, 1992 ). Our research group recently reported the syntheses and crystal structures of a new oxide and oxynitride containing Lu; namely, Lu₄Al₂O₉ (Simura & Yamane, 2020a ) and Ba_0.9Ce_0.1LuAl_0.2Si_3.8N_6.9O_0.1 (Simura & Yamane, 2020b ). In the present study, a new quaternary single-chain silicate, Cs₃LuSi₃O₉, was found during an exploratory study of the Cs–Lu–Si–O system. In other quaternary silicate systems containing alkali-metal (A) and rare-earth (RE) elements, a number of single-chain silicates have recently been reported: LiScSi₂O₆ (space groups C2/c, P2₁/c; Arlt & Angel, 2000 ; Redhammer & Roth, 2004 ), NaYSi₂O₆ (P2₁/c; Többens et al., 2005 ), NaTbSi₂O₆ (P2₁/c; Schäfer et al., 2012 ), Na₃YSi₃O₉ (P2₁2₁2₁; Maksimov et al., 1980 ), Na₃RESi₃O₉ (RE = Y, Dy, Gd, P2₁2₁2₁; Shannon et al., 1980 ), Na₃RESi₃O₉ (RE = Y, Er, P2₁2₁2₁; Ananias et al., 2002 ), Na₃TmSi₃O₉ (P2₁2₁2₁; Kahlenberg et al., 2015 ), K₃HoSi₃O₉ (Pm2₁n; Ponomarev et al., 1988 ), K₃RESi₃O₉ (RE = Ho, Tm, Lu, Pm2₁n; Filipenko et al., 1988 ), K₃TbSi₃O₉ (Pm2₁n; Kostova et al., 2007 ), and K_2.9Rb_0.1ErSi₃O₉ (P1; Wierzbicka-Wieczorek et al., 2010 ). Na⁺ ion conduction and photoluminescence have been investigated on doping Eu, Tb and Tm into Na₃YSi₃O₉ (Shannon et al., 1980; Kim et al., 1985 ; Banks & Kim, 1985 ; Ananias et al., 2006 ; Zhang et al., 2008a ,b ). Photoluminescence properties have also been characterized for Na₃ErSi₃O₉ (Ananias et al., 2002) and K₃RE Si₃O₉ (RE = Y, Eu, Tb; Kostova et al., 2007). A series of germanates with a new structure type, Cs₃RE^IIIGe₃O₉ (RE = Pr, Nd and Sm-Yb, space group Pna2₁) have recently been reported (Morrison et al., 2019 ). In the present study, we report the synthesis and structural characterization of Cs₃LuSi₃O₉, the first silicate found to be isostructural with the germanates.

2. Structural commentary

Cs₃LuSi₃O₉ is a sechser single-chain silicate, which crystallizes in the orthorhombic space group, Pna2₁. The chains of Si1-, Si2- and Si3-centered oxygen tetrahedra are aligned along the [110] direction (Figs. 1 and 2). The period of the SiO₄ zigzag chain is Si1–Si2–Si3–Si1–Si2–Si3, and the chain can be described as an unbranched (uB) single chain 1¹_∞ with a six-[SiO₄]-tetrahedra repeat unit [⁶Si₆O₁₈]: {uB,1¹_∞}[⁶Si₆O₁₈], in accordance with the classification of Liebau (1985 ). The Si—O_bridge bond lengths in the title compound lie in the range 1.650 (4)–1.664 (4) Å, and are slightly longer than the Si—O_terminal bond lengths [in the range 1.594 (4)–1.609 (4) Å; Table 1) and are in agreement with values found in other silicates. The bond-valence sums (BVSs) calculated for Si1, Si2, and Si3 using the bond-valence parameters presented by Gagné & Hawthorne (2015 ), are 3.903, 3.966, and 3.948, respectively, which closely match the value of 4 expected for Si^IV.

Table 1
Selected bond lengths (Å)

Cs1—O3	2.869 (4)	Cs3—O5	3.057 (4)
Cs1—O4ⁱ	2.972 (4)	Cs3—O4	3.066 (4)
Cs1—O1ⁱⁱ	3.028 (4)	Cs3—O3^viii	3.335 (5)
Cs1—O8ⁱⁱⁱ	3.069 (4)	Cs3—O8	3.354 (4)
Cs1—O2ⁱⁱ	3.074 (5)	Cs3—O6	3.599 (5)
Cs1—O7^iv	3.485 (4)	Cs3—O6^ix	3.857 (5)
Cs1—O2^v	3.570 (5)	Cs3—O7^x	3.942 (4)
Cs1—O9ⁱⁱⁱ	4.044 (4)	Cs3—O7	4.030 (4)
Cs1—O1ⁱ	4.050 (4)	Lu1—O3^xi	2.203 (4)
Cs1—O6	4.084 (4)	Lu1—O2	2.210 (4)
Cs1—O5ⁱⁱⁱ	4.092 (4)	Lu1—O9^vi	2.212 (4)
Cs1—O7ⁱⁱⁱ	4.156 (4)	Lu1—O4	2.236 (4)
Cs1—O6^vi	4.354 (4)	Lu1—O5	2.247 (4)
Cs2—O2ⁱⁱ	2.980 (4)	Lu1—O1	2.255 (4)
Cs2—O9ⁱⁱⁱ	3.095 (4)	Si1—O5	1.606 (4)
Cs2—O6	3.130 (4)	Si1—O9	1.609 (4)
Cs2—O8	3.143 (4)	Si1—O7	1.661 (4)
Cs2—O5ⁱⁱⁱ	3.170 (5)	Si1—O6^vii	1.662 (4)
Cs2—O7	3.221 (4)	Si2—O4ⁱⁱⁱ	1.599 (4)
Cs2—O3^vii	3.752 (5)	Si2—O2^iv	1.605 (4)
Cs2—O1	3.824 (4)	Si2—O6	1.650 (4)
Cs2—O4ⁱⁱⁱ	3.926 (4)	Si2—O8	1.659 (4)
Cs2—O4ⁱ	4.106 (4)	Si3—O3^vii	1.594 (4)
Cs2—O8^vi	4.224 (4)	Si3—O1^xii	1.608 (4)
Cs2—O9^iv	4.228 (4)	Si3—O7	1.655 (4)
Cs3—O1	2.936 (4)	Si3—O8	1.664 (4)
Cs3—O9^iv	2.983 (4)
Symmetry codes: (i) $[-x, -y+1, z+{\script{1\over 2}}]$ ; (ii) $[-x, -y, z+{\script{1\over 2}}]$ ; (iii) $[-x+{\script{1\over 2}}, y-{\script{1\over 2}}, z+{\script{1\over 2}}]$ ; (iv) $[-x+{\script{1\over 2}}, y+{\script{1\over 2}}, z+{\script{1\over 2}}]$ ; (v) x, y, z+1; (vi) $[x-{\script{1\over 2}}, -y+{\script{1\over 2}}, z]$ ; (vii) $[-x+{\script{1\over 2}}, y-{\script{1\over 2}}, z-{\script{1\over 2}}]$ ; (viii) $[-x, -y+1, z-{\script{1\over 2}}]$ ; (ix) $[-x+{\script{1\over 2}}, y+{\script{1\over 2}}, z-{\script{1\over 2}}]$ ; (x) x, y+1, z; (xi) ; (xii) $[x+{\script{1\over 2}}, -y+{\script{1\over 2}}, z]$ .

Figure 1
Atomic arrangement of Cs₃LuSi₃O₉ shown with displacement ellipsoids at the 99% probability level. [Symmetry codes: (i) −x + $[{1\over 2}]$ , y + $[{1\over 2}]$ , z + $[{1\over 2}]$ ; (ii) −x, −y, z + $[{1\over 2}]$ ; (iii) x + $[{1\over 2}]$ , −y + $[{1\over 2}]$ , z; (iv) x, y, z + 1; (v) −x + $[{1\over 2}]$ , y − $[{1\over 2}]$ , z + $[{1\over 2}]$ ; (vi) −x, 2 − y, z + $[{1\over 2}]$ ; (vii) x − $[{1\over 2}]$ , −y + $[{1\over 2}]$ , z; (viii) x, y + 1, z; (ix) −x + $[{1\over 2}]$ , y − $[{1\over 2}]$ , z − $[{1\over 2}]$ ; (x) −x, 1 − y, z − $[{1\over 2}]$ ; (xi) x, y, z − 1].

Figure 2
A polyhedral representation of Cs₃LuSi₃O₉ showing the Lu1-centered oxygen octahedra (green) and Si-centered oxygen tetrahedra (blue) linked together to form a 3-D framework with Cs ions (purple) contained in the framework voids.

The angles Si1—Si2—Si3, Si2—Si3—Si1 and Si3—Si1—Si2 in the SiO₄-linked zigzag chain in Cs₃LuSi₃O₉ are 133.26 (7), 128.41 (7) and 134.64 (7)°, respectively. These values are larger than the angles observed in K₆Lu₂Si₆O₁₈ (space group Pm2₁n, Filipenko et al., 1988), a sechser single-chain silicate with an Si1–Si2–Si3–Si3–Si2–Si1 sequence (and angles: Si1—Si2—Si3 = 80.45, Si2—Si3—Si3 = 123.65 and Si3—Si3—Si2 = 123.65°), reflecting the difference in ionic size between Cs⁺ and K⁺.

Lu1 has sixfold coordination and is located in a distorted O octahedron, which connects two SiO₄ single chains, as shown in Fig. 2. All the oxygen atoms of the Lu1-based octahedron are shared with SiO₄ tetrahedra. The Lu1—O bond distances range from 2.203 (4) to 2.255 (4) Å, and the average distance (2.2282 Å) is in good agreement with the corresponding value reported for K₆Lu₂Si₆O₁₈ (Filipenko et al., 1988). A BVS value of 2.939 was obtained, which is close to the valence of 3 expected for Lu^III.

The three distinct Cs sites, Cs1, Cs2 and Cs3, are situated in the voids of the three-dimensional framework composed of the silicate single chains connected by the Lu atoms. The Cs1 and Cs2 ions are surrounded by twelve O atoms, while the Cs3 ion is surrounded by ten O atoms. The BVS values for Cs1, Cs2, and Cs3 are 1.084, 0.919, 0.975, respectively [taking Cs—O distances in the range 2.869 (4)–4.228 (4) Å], which are close to the expected value of 1 for the Cs^I valence. All Cs sites are fully occupied, in contrast to the situation in the isotypic crystal structures of Cs₃RE^IIIGe₃O₉ (Morrison et al., 2019). When RE = Pr, Nd and Sm, disorder is observed in all three Cs sites and for the Eu–Yb analogues, disorder is observed in only two of the Cs sites.

The Madelung energy per formula unit for Cs₃LuSi₃O₉, calculated using the structure parameters determined here within the VESTA program (Momma & Izumi, 2011 ), is −57,100 kJ mol⁻¹, which is close to the value of −56,700 kJ mol⁻¹ (difference Δ = 0.6%) calculated from the equation: 3/2Cs₂O + 1/2 Lu₂O₃ + 3SiO₂ = Cs₃LuSi₃O₉ using enthalpy values within VESTA of −2,200, −15,600 and −15,200 kJ mol⁻¹ for Cs₂O, Lu₂O₃ and SiO₂, respectively, together with crystal-structure data for Cs₂O (Tsai et al., 1956 ), Lu₂O₃ (Saiki et al., 1985 ) and SiO₂ (d'Amour et al., 1979 ). The Madelung potentials for Cs1–Cs3 (−8.7 to −9.2 V), Lu1 (−32.8 V), and Si1–Si3 (−48.0 V) in Cs₃LuSi₃O₉ are in good agreement with those obtained in VESTA for Cs (−9.0 V) in Cs₂O, Lu (−31.3, −31.6 V) in Lu₂O, and Si (−48.1 V) in SiO₂.

3. Synthesis and crystallization

Powders of Cs₂CO₃ (99.9%, Kojundo Chemical Lab. Co., Ltd.), Lu₂O₃ (99.999%, Nippon Yttrium Co., Ltd.) and SiO₂ (99.999%, Mitsuwa Chemicals Co., Ltd.) were used as starting materials. The Lu₂O₃ and SiO₂ powders were heated at 1273 K for 10 h in air, and stored in an air oven heated at 453 K, while the Cs₂CO₃ powder was heated at 673 K for 10 h and stored in an Ar-gas-filled glove box prior to use. 0.1955 g of Cs₂CO₃ powder were weighed in the glove box, and mixed with 0.0796 g of Lu₂O₃ and 0.00120 g of SiO₂ (Cs:Lu:Si molar ratio = 3:1:0.5) in an agate mortar and pestle in air, and then pressed into a 5 mm diameter pellet. The pellet was heated at 1273 K for 3 h on a Pt plate in air, and cooled in the furnace by shutting off the power to the heater. The shape of the pellet was maintained; however, part of the sample had melted and solidified around the pellet on the Pt plate. Colourless transparent prismatic single crystals of around 0.1 mm in length were obtained from the melted part of the pellet. The unmelted part of the pellet consisted of Lu₂O₃ and Cs₃LuSi₃O₉, which was verified by powder X-ray diffraction using a Bruker AXS, D2 PHASER diffractometer with Cu Kα radiation.

4. Refinement

Crystal data, data collection and structure refinement details are summarized in Table 2. Atomic coordinates and site labels were standardized with Structure Tidy (Gelato & Parthé, 1987 ) implemented in PLATON (Spek, 2020 ). The crystal structure was refined with consideration of twinning by inversion, which revealed a minor contribution of 3.1 (8)% for the inversion-related twin component.

Table 2
Experimental details

Crystal data
Chemical formula	Cs₃LuSi₃O₉
M_r	801.97
Crystal system, space group	Orthorhombic, Pna2₁
Temperature (K)	300
a, b, c (Å)	13.3322 (3), 6.8618 (2), 12.2313 (3)
V (Å³)	1118.95 (5)
Z	4
Radiation type	Mo Kα
μ (mm⁻¹)	18.79
Crystal size (mm)	0.09 × 0.05 × 0.03

Data collection
Diffractometer	Bruker APEXII CCD
Absorption correction	Multi-scan (SADABS; Bruker, 2018 )
T_min, T_max	0.39, 0.58
No. of measured, independent and observed [I > 2σ(I)] reflections	24311, 3094, 3085
R_int	0.034
(sin θ/λ)_max (Å⁻¹)	0.695

Refinement
R[F² > 2σ(F²)], wR(F²), S	0.014, 0.036, 1.11
No. of reflections	3094
No. of parameters	147
No. of restraints	1
Δρ_max, Δρ_min (e Å⁻³)	1.87, −1.18
Absolute structure	Refined as an inversion twin
Absolute structure parameter	0.031 (8)
Computer programs: BIS, APEX3 and SAINT (Bruker, 2018), SHELXT2014/5 (Sheldrick, 2015a ), SHELXL2014/7 (Sheldrick, 2015b ), VESTA (Momma & Izumi, 2011) and publCIF (Westrip, 2010 ).

Supporting information

CCDC reference: 2118472

Crystal structure: contains datablocks global, I. DOI: https://doi.org/10.1107/S2056989021011439/cq2049sup1.cif

Structure factors: contains datablock I. DOI: https://doi.org/10.1107/S2056989021011439/cq2049Isup2.hkl

checkCIF report

Computing details top

Data collection: BIS (Bruker, 2018); cell refinement: APEX3 (Bruker, 2018); data reduction: SAINT (Bruker, 2018); program(s) used to solve structure: SHELXT2014/5 (Sheldrick, 2015a); program(s) used to refine structure: SHELXL2014/7 (Sheldrick, 2015b); molecular graphics: VESTA (Momma & Izumi, 2011); software used to prepare material for publication: publCIF (Westrip, 2010).

Tricaesium lutetium trisilicate top

Crystal data top

Cs₃LuSi₃O₉	D_x = 4.761 Mg m⁻³
M_r = 801.97	Mo Kα radiation, λ = 0.71073 Å
Orthorhombic, Pna2₁	Cell parameters from 351 reflections
a = 13.3322 (3) Å	θ = 3.1–31.4°
b = 6.8618 (2) Å	µ = 18.79 mm⁻¹
c = 12.2313 (3) Å	T = 300 K
V = 1118.95 (5) Å³	Prismatic, translucent colourless
Z = 4	0.09 × 0.05 × 0.03 mm
F(000) = 1400

Data collection top

Bruker APEXII CCD diffractometer	3094 independent reflections
Radiation source: micro focus sealed tube	3085 reflections with I > 2σ(I)
Detector resolution: 7.3910 pixels mm^-1	R_int = 0.034
φ and ω scans	θ_max = 29.6°, θ_min = 3.1°
Absorption correction: multi-scan (SADABS; Bruker, 2018)	h = −18→18
T_min = 0.39, T_max = 0.58	k = −9→9
24311 measured reflections	l = −16→16

Refinement top

Refinement on F²	w = 1/[σ²(F_o²) + 2.7745P] where P = (F_o² + 2F_c²)/3
Least-squares matrix: full	(Δ/σ)_max < 0.001
R[F² > 2σ(F²)] = 0.014	Δρ_max = 1.87 e Å⁻³
wR(F²) = 0.036	Δρ_min = −1.18 e Å⁻³
S = 1.11	Extinction correction: SHELXL2017/1 (Sheldrick 2015b)
3094 reflections	Extinction coefficient: 0.00160 (14)
147 parameters	Absolute structure: Refined as an inversion twin
1 restraint	Absolute structure parameter: 0.031 (8)

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. Refined as a two-component inversion twin.

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

	x	y	z	U_iso*/U_eq
Cs1	0.06219 (4)	0.10542 (6)	0.71151 (4)	0.02535 (10)
Cs2	0.16894 (3)	0.05816 (7)	0.42547 (4)	0.02637 (11)
Cs3	0.17391 (3)	0.55846 (6)	0.28251 (3)	0.02153 (9)
Lu1	0.04370 (2)	0.34863 (3)	0.03915 (2)	0.00583 (6)
Si1	0.28028 (11)	0.1098 (2)	0.08655 (12)	0.0070 (2)
Si2	0.38805 (11)	0.3492 (2)	0.49763 (13)	0.0064 (2)
Si3	0.41034 (10)	0.1056 (2)	0.29080 (12)	0.0068 (2)
O1	0.0020 (3)	0.3178 (6)	0.2170 (3)	0.0118 (7)
O2	0.0386 (3)	0.0346 (6)	−0.0005 (4)	0.0113 (7)
O3	0.0643 (3)	0.4213 (6)	0.8652 (3)	0.0144 (8)
O4	0.0722 (3)	0.6662 (6)	0.0659 (3)	0.0122 (8)
O5	0.2041 (3)	0.2910 (6)	0.0854 (4)	0.0133 (8)
O6	0.2752 (3)	0.4080 (5)	0.5419 (4)	0.0138 (7)
O7	0.3124 (3)	0.0510 (6)	0.2136 (3)	0.0123 (7)
O8	0.3669 (3)	0.2855 (6)	0.3688 (3)	0.0099 (7)
O9	0.3794 (3)	0.1463 (6)	0.0142 (3)	0.0137 (9)

Atomic displacement parameters (Å²) top

	U¹¹	U²²	U³³	U¹²	U¹³	U²³
Cs1	0.0370 (2)	0.01343 (17)	0.0257 (2)	0.00434 (16)	−0.01766 (18)	−0.00375 (16)
Cs2	0.02074 (19)	0.0252 (2)	0.0331 (2)	−0.00933 (15)	0.00863 (16)	−0.00168 (17)
Cs3	0.01763 (17)	0.0304 (2)	0.01654 (17)	0.00004 (14)	−0.00250 (13)	−0.00726 (16)
Lu1	0.00583 (9)	0.00579 (9)	0.00586 (9)	−0.00008 (6)	0.00064 (8)	0.00022 (8)
Si1	0.0049 (6)	0.0097 (6)	0.0063 (6)	−0.0004 (5)	−0.0006 (5)	−0.0016 (5)
Si2	0.0071 (6)	0.0052 (6)	0.0069 (5)	0.0001 (4)	0.0003 (5)	−0.0005 (5)
Si3	0.0076 (6)	0.0080 (6)	0.0047 (6)	0.0004 (5)	−0.0004 (5)	−0.0005 (5)
O1	0.0123 (17)	0.0161 (17)	0.0070 (16)	0.0002 (15)	0.0029 (15)	0.0011 (15)
O2	0.0087 (16)	0.0064 (16)	0.0189 (18)	0.0019 (13)	0.0002 (15)	−0.0011 (15)
O3	0.023 (2)	0.0113 (17)	0.0088 (18)	−0.0047 (16)	0.0032 (16)	0.0011 (15)
O4	0.020 (2)	0.0069 (17)	0.0092 (18)	0.0002 (14)	0.0028 (14)	0.0005 (13)
O5	0.0085 (17)	0.0122 (17)	0.019 (2)	0.0029 (14)	−0.0036 (14)	−0.0031 (16)
O6	0.0117 (16)	0.0112 (15)	0.0186 (18)	−0.0005 (13)	0.0073 (18)	−0.007 (2)
O7	0.0124 (17)	0.0167 (19)	0.0079 (17)	−0.0043 (14)	−0.0009 (14)	0.0010 (16)
O8	0.0121 (16)	0.0098 (16)	0.0077 (16)	0.0056 (14)	−0.0002 (14)	−0.0013 (14)
O9	0.0071 (16)	0.026 (2)	0.008 (2)	−0.0012 (15)	0.0023 (12)	0.0015 (14)

Geometric parameters (Å, º) top

Cs1—O3	2.869 (4)	Cs2—Si1^iv	4.3209 (16)
Cs1—O4ⁱ	2.972 (4)	Cs2—Lu1ⁱⁱⁱ	4.3218 (5)
Cs1—O1ⁱⁱ	3.028 (4)	Cs2—Si1	4.4174 (15)
Cs1—O8ⁱⁱⁱ	3.069 (4)	Cs2—Si3^v	4.4636 (15)
Cs1—O2ⁱⁱ	3.074 (5)	Cs3—O1	2.936 (4)
Cs1—O7^iv	3.485 (4)	Cs3—O9^iv	2.983 (4)
Cs1—Si2^v	3.5115 (16)	Cs3—O5	3.057 (4)
Cs1—O2^vi	3.570 (5)	Cs3—O4	3.066 (4)
Cs1—Si3ⁱⁱⁱ	3.5829 (15)	Cs3—O3^ix	3.335 (5)
Cs1—Si3^iv	3.5852 (15)	Cs3—O8	3.354 (4)
Cs1—Cs3ⁱⁱⁱ	3.6383 (6)	Cs3—O6	3.599 (5)
Cs1—Cs2	3.7909 (7)	Cs3—Si3^v	3.6912 (14)
Cs1—Si2ⁱⁱⁱ	3.9722 (16)	Cs3—Lu1	3.7345 (5)
Cs1—Cs3ⁱ	3.9977 (6)	Cs3—Si1^iv	3.7851 (15)
Cs1—Lu1ⁱⁱ	4.0179 (5)	Cs3—O6^x	3.857 (5)
Cs1—O9ⁱⁱⁱ	4.044 (4)	Cs3—O7^xi	3.942 (4)
Cs1—O1ⁱ	4.050 (4)	Cs3—O7	4.030 (4)
Cs1—O6	4.084 (4)	Cs3—Si2^x	4.0992 (16)
Cs1—O5ⁱⁱⁱ	4.092 (4)	Cs3—Si2	4.1396 (15)
Cs1—O7ⁱⁱⁱ	4.156 (4)	Cs3—Si1	4.1512 (15)
Cs1—Cs2ⁱⁱ	4.1958 (7)	Cs3—Lu1ⁱ	4.3217 (5)
Cs1—Si1ⁱⁱⁱ	4.2791 (15)	Cs3—O5^iv	4.349 (4)
Cs1—Si1^iv	4.3275 (16)	Cs3—O3^x	4.405 (5)
Cs1—Lu1^vi	4.3481 (5)	Cs3—Si3	4.4276 (15)
Cs1—O6^v	4.354 (4)	Cs3—O2^iv	4.665 (4)
Cs2—O2ⁱⁱ	2.980 (4)	Lu1—O3^xii	2.203 (4)
Cs2—O9ⁱⁱⁱ	3.095 (4)	Lu1—O2	2.210 (4)
Cs2—O6	3.130 (4)	Lu1—O9^v	2.212 (4)
Cs2—O8	3.143 (4)	Lu1—O4	2.236 (4)
Cs2—O5ⁱⁱⁱ	3.170 (5)	Lu1—O5	2.247 (4)
Cs2—O7	3.221 (4)	Lu1—O1	2.255 (4)
Cs2—Si3	3.6301 (15)	Si1—O5	1.606 (4)
Cs2—Si2	3.6470 (15)	Si1—O9	1.609 (4)
Cs2—Si1ⁱⁱⁱ	3.7153 (16)	Si1—O7	1.661 (4)
Cs2—O3^vii	3.752 (5)	Si1—O6^vii	1.662 (4)
Cs2—O1	3.824 (4)	Si2—O4ⁱⁱⁱ	1.599 (4)
Cs2—Cs3^viii	3.8495 (6)	Si2—O2^iv	1.605 (4)
Cs2—Cs3	3.8532 (7)	Si2—O6	1.650 (4)
Cs2—Si2^v	3.8996 (15)	Si2—O8	1.659 (4)
Cs2—O4ⁱⁱⁱ	3.926 (4)	Si3—O3^vii	1.594 (4)
Cs2—O4ⁱ	4.106 (4)	Si3—O1^xiii	1.608 (4)
Cs2—Lu1ⁱⁱ	4.2145 (5)	Si3—O7	1.655 (4)
Cs2—O8^v	4.224 (4)	Si3—O8	1.664 (4)
Cs2—O9^iv	4.228 (4)

O3—Cs1—O4ⁱ	89.99 (12)	Cs2—Cs3—Lu1ⁱ	77.894 (10)
O3—Cs1—O1ⁱⁱ	135.45 (11)	O6^x—Cs3—Lu1ⁱ	125.50 (6)
O4ⁱ—Cs1—O1ⁱⁱ	110.40 (11)	O7^xi—Cs3—Lu1ⁱ	110.07 (6)
O3—Cs1—O8ⁱⁱⁱ	97.28 (11)	Cs1^ix—Cs3—Lu1ⁱ	62.878 (9)
O4ⁱ—Cs1—O8ⁱⁱⁱ	159.80 (11)	O7—Cs3—Lu1ⁱ	125.93 (6)
O1ⁱⁱ—Cs1—O8ⁱⁱⁱ	52.20 (10)	Si2^x—Cs3—Lu1ⁱ	114.23 (2)
O3—Cs1—O2ⁱⁱ	142.44 (12)	Si2—Cs3—Lu1ⁱ	93.01 (2)
O4ⁱ—Cs1—O2ⁱⁱ	52.85 (11)	Si1—Cs3—Lu1ⁱ	139.30 (2)
O1ⁱⁱ—Cs1—O2ⁱⁱ	66.14 (11)	O1—Cs3—O5^iv	136.94 (10)
O8ⁱⁱⁱ—Cs1—O2ⁱⁱ	116.10 (11)	O9^iv—Cs3—O5^iv	37.42 (9)
O3—Cs1—O7^iv	47.76 (10)	O5—Cs3—O5^iv	147.45 (6)
O4ⁱ—Cs1—O7^iv	80.27 (11)	O4—Cs3—O5^iv	144.37 (9)
O1ⁱⁱ—Cs1—O7^iv	167.63 (10)	O3^ix—Cs3—O5^iv	94.74 (9)
O8ⁱⁱⁱ—Cs1—O7^iv	118.38 (10)	O8—Cs3—O5^iv	69.50 (9)
O2ⁱⁱ—Cs1—O7^iv	119.34 (11)	O6—Cs3—O5^iv	38.20 (8)
O3—Cs1—Si2^v	115.30 (10)	Cs1^x—Cs3—O5^iv	79.00 (5)
O4ⁱ—Cs1—Si2^v	26.94 (8)	Si3^v—Cs3—O5^iv	116.40 (6)
O1ⁱⁱ—Cs1—Si2^v	85.11 (8)	Lu1—Cs3—O5^iv	173.83 (5)
O8ⁱⁱⁱ—Cs1—Si2^v	137.25 (8)	Si1^iv—Cs3—O5^iv	21.35 (6)
O2ⁱⁱ—Cs1—Si2^v	27.18 (8)	Cs2^xi—Cs3—O5^iv	44.99 (6)
O7^iv—Cs1—Si2^v	104.17 (7)	Cs2—Cs3—O5^iv	86.95 (6)
O3—Cs1—O2^vi	57.13 (11)	O6^x—Cs3—O5^iv	110.86 (8)
O4ⁱ—Cs1—O2^vi	127.58 (10)	O7^xi—Cs3—O5^iv	72.09 (8)
O1ⁱⁱ—Cs1—O2^vi	79.78 (10)	Cs1^ix—Cs3—O5^iv	105.54 (6)
O8ⁱⁱⁱ—Cs1—O2^vi	46.44 (10)	O7—Cs3—O5^iv	108.90 (8)
O2ⁱⁱ—Cs1—O2^vi	138.69 (4)	Si2^x—Cs3—O5^iv	128.38 (6)
O7^iv—Cs1—O2^vi	98.89 (10)	Si2—Cs3—O5^iv	47.77 (6)
Si2^v—Cs1—O2^vi	133.55 (7)	Si1—Cs3—O5^iv	129.50 (6)
O3—Cs1—Si3ⁱⁱⁱ	123.02 (9)	Lu1ⁱ—Cs3—O5^iv	65.06 (5)
O4ⁱ—Cs1—Si3ⁱⁱⁱ	136.76 (8)	O1—Cs3—O3^x	177.42 (10)
O1ⁱⁱ—Cs1—Si3ⁱⁱⁱ	26.49 (8)	O9^iv—Cs3—O3^x	81.75 (10)
O8ⁱⁱⁱ—Cs1—Si3ⁱⁱⁱ	27.61 (8)	O5—Cs3—O3^x	114.58 (10)
O2ⁱⁱ—Cs1—Si3ⁱⁱⁱ	88.50 (8)	O4—Cs3—O3^x	114.36 (10)
O7^iv—Cs1—Si3ⁱⁱⁱ	142.07 (7)	O3^ix—Cs3—O3^x	131.40 (8)
Si2^v—Cs1—Si3ⁱⁱⁱ	110.74 (3)	O8—Cs3—O3^x	68.61 (9)
O2^vi—Cs1—Si3ⁱⁱⁱ	67.14 (7)	O6—Cs3—O3^x	70.28 (8)
O3—Cs1—Si3^iv	25.66 (9)	Cs1^x—Cs3—O3^x	40.39 (6)
O4ⁱ—Cs1—Si3^iv	73.67 (8)	Si3^v—Cs3—O3^x	156.99 (6)
O1ⁱⁱ—Cs1—Si3^iv	160.19 (8)	Lu1—Cs3—O3^x	140.28 (6)
O8ⁱⁱⁱ—Cs1—Si3^iv	118.94 (8)	Si1^iv—Cs3—O3^x	66.05 (6)
O2ⁱⁱ—Cs1—Si3^iv	124.88 (8)	Cs2^xi—Cs3—O3^x	53.56 (6)
O7^iv—Cs1—Si3^iv	27.02 (7)	Cs2—Cs3—O3^x	114.39 (5)
Si2^v—Cs1—Si3^iv	100.61 (3)	O6^x—Cs3—O3^x	71.59 (8)
O2^vi—Cs1—Si3^iv	82.67 (7)	O7^xi—Cs3—O3^x	36.25 (8)
Si3ⁱⁱⁱ—Cs1—Si3^iv	146.38 (5)	Cs1^ix—Cs3—O3^x	110.35 (5)
O3—Cs1—Cs3ⁱⁱⁱ	84.33 (9)	O7—Cs3—O3^x	99.98 (8)
O4ⁱ—Cs1—Cs3ⁱⁱⁱ	140.57 (9)	Si2^x—Cs3—O3^x	94.57 (6)
O1ⁱⁱ—Cs1—Cs3ⁱⁱⁱ	100.56 (8)	Si2—Cs3—O3^x	60.24 (6)
O8ⁱⁱⁱ—Cs1—Cs3ⁱⁱⁱ	59.28 (7)	Si1—Cs3—O3^x	106.31 (6)
O2ⁱⁱ—Cs1—Cs3ⁱⁱⁱ	126.61 (7)	Lu1ⁱ—Cs3—O3^x	106.38 (6)
O7^iv—Cs1—Cs3ⁱⁱⁱ	67.16 (7)	O5^iv—Cs3—O3^x	45.64 (8)
Si2^v—Cs1—Cs3ⁱⁱⁱ	145.59 (3)	O1—Cs3—Si3	99.62 (8)
O2^vi—Cs1—Cs3ⁱⁱⁱ	80.65 (6)	O9^iv—Cs3—Si3	106.83 (8)
Si3ⁱⁱⁱ—Cs1—Cs3ⁱⁱⁱ	75.63 (3)	O5—Cs3—Si3	60.20 (8)
Si3^iv—Cs1—Cs3ⁱⁱⁱ	85.49 (3)	O4—Cs3—Si3	120.26 (8)
O3—Cs1—Cs2	131.73 (8)	O3^ix—Cs3—Si3	134.44 (8)
O4ⁱ—Cs1—Cs2	73.65 (8)	O8—Cs3—Si3	18.99 (7)
O1ⁱⁱ—Cs1—Cs2	92.56 (8)	O6—Cs3—Si3	60.75 (6)
O8ⁱⁱⁱ—Cs1—Cs2	113.70 (7)	Cs1^x—Cs3—Si3	51.62 (2)
O2ⁱⁱ—Cs1—Cs2	50.14 (8)	Si3^v—Cs3—Si3	117.585 (15)
O7^iv—Cs1—Cs2	84.35 (7)	Lu1—Cs3—Si3	94.51 (2)
Si2^v—Cs1—Cs2	64.42 (3)	Si1^iv—Cs3—Si3	85.87 (3)
O2^vi—Cs1—Cs2	158.76 (6)	Cs2^xi—Cs3—Si3	128.83 (2)
Si3ⁱⁱⁱ—Cs1—Cs2	97.44 (3)	Cs2—Cs3—Si3	51.43 (2)
Si3^iv—Cs1—Cs2	107.05 (3)	O6^x—Cs3—Si3	109.18 (6)
Cs3ⁱⁱⁱ—Cs1—Cs2	81.354 (14)	O7^xi—Cs3—Si3	105.86 (6)
O3—Cs1—Si2ⁱⁱⁱ	75.86 (9)	Cs1^ix—Cs3—Si3	166.04 (2)
O4ⁱ—Cs1—Si2ⁱⁱⁱ	149.52 (9)	O7—Cs3—Si3	21.92 (6)
O1ⁱⁱ—Cs1—Si2ⁱⁱⁱ	66.62 (8)	Si2^x—Cs3—Si3	120.30 (3)
O8ⁱⁱⁱ—Cs1—Si2ⁱⁱⁱ	22.99 (8)	Si2—Cs3—Si3	41.49 (3)
O2ⁱⁱ—Cs1—Si2ⁱⁱⁱ	132.67 (8)	Si1—Cs3—Si3	41.37 (3)
O7^iv—Cs1—Si2ⁱⁱⁱ	107.56 (7)	Lu1ⁱ—Cs3—Si3	124.39 (2)
Si2^v—Cs1—Si2ⁱⁱⁱ	143.711 (19)	O5^iv—Cs3—Si3	88.38 (6)
O2^vi—Cs1—Si2ⁱⁱⁱ	23.80 (7)	O3^x—Cs3—Si3	80.05 (6)
Si3ⁱⁱⁱ—Cs1—Si2ⁱⁱⁱ	47.22 (3)	O1—Cs3—O2^iv	140.96 (10)
Si3^iv—Cs1—Si2ⁱⁱⁱ	99.69 (3)	O9^iv—Cs3—O2^iv	70.26 (10)
Cs3ⁱⁱⁱ—Cs1—Si2ⁱⁱⁱ	65.73 (2)	O5—Cs3—O2^iv	108.64 (9)
Cs2—Cs1—Si2ⁱⁱⁱ	135.44 (3)	O4—Cs3—O2^iv	149.71 (10)
O3—Cs1—Cs3ⁱ	55.21 (9)	O3^ix—Cs3—O2^iv	127.68 (9)
O4ⁱ—Cs1—Cs3ⁱ	49.57 (8)	O8—Cs3—O2^iv	33.98 (8)
O1ⁱⁱ—Cs1—Cs3ⁱ	109.01 (8)	O6—Cs3—O2^iv	34.93 (8)
O8ⁱⁱⁱ—Cs1—Cs3ⁱ	121.27 (7)	Cs1^x—Cs3—O2^iv	49.04 (6)
O2ⁱⁱ—Cs1—Cs3ⁱ	91.10 (7)	Si3^v—Cs3—O2^iv	139.09 (6)
O7^iv—Cs1—Cs3ⁱ	82.54 (7)	Lu1—Cs3—O2^iv	145.27 (5)
Si2^v—Cs1—Cs3ⁱ	65.80 (3)	Si1^iv—Cs3—O2^iv	46.50 (6)
O2^vi—Cs1—Cs3ⁱ	78.16 (6)	Cs2^xi—Cs3—O2^iv	77.70 (5)
Si3ⁱⁱⁱ—Cs1—Cs3ⁱ	125.02 (3)	Cs2—Cs3—O2^iv	74.01 (5)
Si3^iv—Cs1—Cs3ⁱ	57.95 (2)	O6^x—Cs3—O2^iv	108.15 (8)
Cs3ⁱⁱⁱ—Cs1—Cs3ⁱ	139.522 (15)	O7^xi—Cs3—O2^iv	76.54 (8)
Cs2—Cs1—Cs3ⁱ	123.056 (15)	Cs1^ix—Cs3—O2^iv	142.26 (5)
Si2ⁱⁱⁱ—Cs1—Cs3ⁱ	101.27 (2)	O7—Cs3—O2^iv	73.28 (8)
O3—Cs1—Lu1ⁱⁱ	158.89 (9)	Si2^x—Cs3—O2^iv	131.79 (6)
O4ⁱ—Cs1—Lu1ⁱⁱ	83.27 (8)	Si2—Cs3—O2^iv	19.87 (6)
O1ⁱⁱ—Cs1—Lu1ⁱⁱ	33.77 (8)	Si1—Cs3—O2^iv	91.25 (6)
O8ⁱⁱⁱ—Cs1—Lu1ⁱⁱ	83.25 (7)	Lu1ⁱ—Cs3—O2^iv	98.25 (5)
O2ⁱⁱ—Cs1—Lu1ⁱⁱ	33.03 (8)	O5^iv—Cs3—O2^iv	38.83 (8)
O7^iv—Cs1—Lu1ⁱⁱ	148.51 (7)	O3^x—Cs3—O2^iv	40.38 (7)
Si2^v—Cs1—Lu1ⁱⁱ	56.33 (2)	Si3—Cs3—O2^iv	51.49 (6)
O2^vi—Cs1—Lu1ⁱⁱ	112.41 (7)	O3^xii—Lu1—O2	90.72 (17)
Si3ⁱⁱⁱ—Cs1—Lu1ⁱⁱ	55.64 (2)	O3^xii—Lu1—O9^v	89.23 (16)
Si3^iv—Cs1—Lu1ⁱⁱ	156.94 (3)	O2—Lu1—O9^v	87.41 (15)
Cs3ⁱⁱⁱ—Cs1—Lu1ⁱⁱ	113.351 (13)	O3^xii—Lu1—O4	84.26 (15)
Cs2—Cs1—Lu1ⁱⁱ	65.251 (10)	O2—Lu1—O4	171.01 (16)
Si2ⁱⁱⁱ—Cs1—Lu1ⁱⁱ	100.24 (2)	O9^v—Lu1—O4	99.95 (16)
Cs3ⁱ—Cs1—Lu1ⁱⁱ	106.540 (13)	O3^xii—Lu1—O5	99.47 (17)
O3—Cs1—O9ⁱⁱⁱ	167.84 (11)	O2—Lu1—O5	85.00 (15)
O4ⁱ—Cs1—O9ⁱⁱⁱ	99.76 (10)	O9^v—Lu1—O5	168.50 (16)
O1ⁱⁱ—Cs1—O9ⁱⁱⁱ	47.21 (10)	O4—Lu1—O5	88.46 (16)
O8ⁱⁱⁱ—Cs1—O9ⁱⁱⁱ	75.96 (9)	O3^xii—Lu1—O1	169.68 (16)
O2ⁱⁱ—Cs1—O9ⁱⁱⁱ	48.52 (9)	O2—Lu1—O1	96.45 (16)
O7^iv—Cs1—O9ⁱⁱⁱ	126.54 (9)	O9^v—Lu1—O1	83.71 (14)
Si2^v—Cs1—O9ⁱⁱⁱ	75.64 (6)	O4—Lu1—O1	89.54 (15)
O2^vi—Cs1—O9ⁱⁱⁱ	119.97 (9)	O5—Lu1—O1	88.57 (16)
Si3ⁱⁱⁱ—Cs1—O9ⁱⁱⁱ	52.85 (6)	O3^xii—Lu1—Cs3	128.68 (11)
Si3^iv—Cs1—O9ⁱⁱⁱ	152.56 (7)	O2—Lu1—Cs3	124.41 (12)
Cs3ⁱⁱⁱ—Cs1—O9ⁱⁱⁱ	83.52 (6)	O9^v—Lu1—Cs3	124.34 (10)
Cs2—Cs1—O9ⁱⁱⁱ	46.40 (6)	O4—Lu1—Cs3	55.15 (11)
Si2ⁱⁱⁱ—Cs1—O9ⁱⁱⁱ	98.55 (6)	O5—Lu1—Cs3	54.89 (11)
Cs3ⁱ—Cs1—O9ⁱⁱⁱ	136.95 (6)	O1—Lu1—Cs3	51.82 (10)
Lu1ⁱⁱ—Cs1—O9ⁱⁱⁱ	31.85 (6)	O3^xii—Lu1—Cs1^xiv	136.55 (11)
O3—Cs1—O1ⁱ	41.66 (10)	O2—Lu1—Cs1^xiv	49.32 (12)
O4ⁱ—Cs1—O1ⁱ	50.75 (9)	O9^v—Lu1—Cs1^xiv	74.72 (11)
O1ⁱⁱ—Cs1—O1ⁱ	151.28 (13)	O4—Lu1—Cs1^xiv	137.59 (10)
O8ⁱⁱⁱ—Cs1—O1ⁱ	138.93 (10)	O5—Lu1—Cs1^xiv	93.78 (12)
O2ⁱⁱ—Cs1—O1ⁱ	103.12 (9)	O1—Lu1—Cs1^xiv	48.28 (11)
O7^iv—Cs1—O1ⁱ	40.89 (8)	Cs3—Lu1—Cs1^xiv	92.527 (12)
Si2^v—Cs1—O1ⁱ	77.64 (6)	O3^xii—Lu1—Cs2^xiv	85.11 (11)
O2^vi—Cs1—O1ⁱ	95.63 (9)	O2—Lu1—Cs2^xiv	42.36 (10)
Si3ⁱⁱⁱ—Cs1—O1ⁱ	162.28 (6)	O9^v—Lu1—Cs2^xiv	45.48 (11)
Si3^iv—Cs1—O1ⁱ	23.30 (6)	O4—Lu1—Cs2^xiv	143.89 (12)
Cs3ⁱⁱⁱ—Cs1—O1ⁱ	106.68 (6)	O5—Lu1—Cs2^xiv	127.35 (11)
Cs2—Cs1—O1ⁱ	100.27 (6)	O1—Lu1—Cs2^xiv	95.18 (11)
Si2ⁱⁱⁱ—Cs1—O1ⁱ	116.95 (6)	Cs3—Lu1—Cs2^xiv	146.201 (13)
Cs3ⁱ—Cs1—O1ⁱ	42.79 (6)	Cs1^xiv—Lu1—Cs2^xiv	54.773 (11)
Lu1ⁱⁱ—Cs1—O1ⁱ	133.81 (6)	O3^xii—Lu1—Cs2^x	60.24 (12)
O9ⁱⁱⁱ—Cs1—O1ⁱ	144.29 (8)	O2—Lu1—Cs2^x	106.33 (10)
O3—Cs1—O6	86.68 (10)	O9^v—Lu1—Cs2^x	145.93 (11)
O4ⁱ—Cs1—O6	81.18 (11)	O4—Lu1—Cs2^x	64.69 (11)
O1ⁱⁱ—Cs1—O6	134.06 (9)	O5—Lu1—Cs2^x	45.24 (12)
O8ⁱⁱⁱ—Cs1—O6	117.91 (9)	O1—Lu1—Cs2^x	124.05 (10)
O2ⁱⁱ—Cs1—O6	91.97 (10)	Cs3—Lu1—Cs2^x	73.508 (9)
O7^iv—Cs1—O6	39.11 (9)	Cs1^xiv—Lu1—Cs2^x	137.582 (10)
Si2^v—Cs1—O6	92.07 (7)	Cs2^xiv—Lu1—Cs2^x	135.276 (14)
O2^vi—Cs1—O6	129.18 (9)	O3^xii—Lu1—Cs3^ix	49.34 (12)
Si3ⁱⁱⁱ—Cs1—O6	123.58 (6)	O2—Lu1—Cs3^ix	87.93 (11)
Si3^iv—Cs1—O6	65.15 (6)	O9^v—Lu1—Cs3^ix	39.89 (10)
Cs3ⁱⁱⁱ—Cs1—O6	59.59 (6)	O4—Lu1—Cs3^ix	94.39 (11)
Cs2—Cs1—O6	46.65 (6)	O5—Lu1—Cs3^ix	147.96 (11)
Si2ⁱⁱⁱ—Cs1—O6	123.81 (7)	O1—Lu1—Cs3^ix	123.31 (10)
Cs3ⁱ—Cs1—O6	111.38 (5)	Cs3—Lu1—Cs3^ix	146.522 (6)
Lu1ⁱⁱ—Cs1—O6	111.84 (6)	Cs1^xiv—Lu1—Cs3^ix	105.046 (10)
O9ⁱⁱⁱ—Cs1—O6	87.65 (8)	Cs2^xiv—Lu1—Cs3^ix	53.592 (9)
O1ⁱ—Cs1—O6	70.04 (8)	Cs2^x—Lu1—Cs3^ix	108.201 (11)
O3—Cs1—O5ⁱⁱⁱ	129.64 (11)	O3^xii—Lu1—Cs1^xii	35.84 (11)
O4ⁱ—Cs1—O5ⁱⁱⁱ	120.73 (10)	O2—Lu1—Cs1^xii	54.92 (12)
O1ⁱⁱ—Cs1—O5ⁱⁱⁱ	73.63 (10)	O9^v—Lu1—Cs1^xii	86.28 (10)
O8ⁱⁱⁱ—Cs1—O5ⁱⁱⁱ	67.96 (10)	O4—Lu1—Cs1^xii	119.97 (10)
O2ⁱⁱ—Cs1—O5ⁱⁱⁱ	81.39 (9)	O5—Lu1—Cs1^xii	96.34 (11)
O7^iv—Cs1—O5ⁱⁱⁱ	95.73 (9)	O1—Lu1—Cs1^xii	150.11 (11)
Si2^v—Cs1—O5ⁱⁱⁱ	105.63 (7)	Cs3—Lu1—Cs1^xii	148.898 (10)
O2^vi—Cs1—O5ⁱⁱⁱ	111.55 (9)	Cs1^xiv—Lu1—Cs1^xii	101.881 (6)
Si3ⁱⁱⁱ—Cs1—O5ⁱⁱⁱ	61.28 (7)	Cs2^xiv—Lu1—Cs1^xii	58.658 (10)
Si3^iv—Cs1—O5ⁱⁱⁱ	121.93 (6)	Cs2^x—Lu1—Cs1^xii	77.345 (10)
Cs3ⁱⁱⁱ—Cs1—O5ⁱⁱⁱ	46.12 (6)	Cs3^ix—Lu1—Cs1^xii	54.916 (9)
Cs2—Cs1—O5ⁱⁱⁱ	47.24 (6)	O5—Si1—O9	113.2 (2)
Si2ⁱⁱⁱ—Cs1—O5ⁱⁱⁱ	88.37 (7)	O5—Si1—O7	111.1 (2)
Cs3ⁱ—Cs1—O5ⁱⁱⁱ	170.29 (7)	O9—Si1—O7	109.9 (2)
Lu1ⁱⁱ—Cs1—O5ⁱⁱⁱ	70.18 (6)	O5—Si1—O6^vii	111.1 (2)
O9ⁱⁱⁱ—Cs1—O5ⁱⁱⁱ	38.52 (8)	O9—Si1—O6^vii	108.3 (2)
O1ⁱ—Cs1—O5ⁱⁱⁱ	133.04 (9)	O7—Si1—O6^vii	102.7 (2)
O6—Cs1—O5ⁱⁱⁱ	63.06 (8)	O5—Si1—Cs2^x	57.96 (17)
O3—Cs1—O7ⁱⁱⁱ	133.13 (11)	O9—Si1—Cs2^x	55.27 (16)
O4ⁱ—Cs1—O7ⁱⁱⁱ	136.79 (10)	O7—Si1—Cs2^x	130.56 (15)
O1ⁱⁱ—Cs1—O7ⁱⁱⁱ	40.17 (9)	O6^vii—Si1—Cs2^x	126.64 (19)
O8ⁱⁱⁱ—Cs1—O7ⁱⁱⁱ	38.49 (9)	O5—Si1—Cs3^vii	99.52 (17)
O2ⁱⁱ—Cs1—O7ⁱⁱⁱ	83.98 (10)	O9—Si1—Cs3^vii	48.86 (15)
O7^iv—Cs1—O7ⁱⁱⁱ	127.58 (11)	O7—Si1—Cs3^vii	148.73 (16)
Si2^v—Cs1—O7ⁱⁱⁱ	110.60 (6)	O6^vii—Si1—Cs3^vii	70.82 (18)
O2^vi—Cs1—O7ⁱⁱⁱ	84.53 (9)	Cs2^x—Si1—Cs3^vii	61.75 (3)
Si3ⁱⁱⁱ—Cs1—O7ⁱⁱⁱ	23.21 (6)	O5—Si1—Cs3	38.26 (16)
Si3^iv—Cs1—O7ⁱⁱⁱ	146.46 (6)	O9—Si1—Cs3	118.85 (17)
Cs3ⁱⁱⁱ—Cs1—O7ⁱⁱⁱ	61.85 (6)	O7—Si1—Cs3	74.22 (15)
Cs2—Cs1—O7ⁱⁱⁱ	77.07 (6)	O6^vii—Si1—Cs3	130.97 (16)
Si2ⁱⁱⁱ—Cs1—O7ⁱⁱⁱ	61.46 (6)	Cs2^x—Si1—Cs3	75.78 (3)
Cs3ⁱ—Cs1—O7ⁱⁱⁱ	147.53 (6)	Cs3^vii—Si1—Cs3	133.75 (4)
Lu1ⁱⁱ—Cs1—O7ⁱⁱⁱ	55.59 (6)	O5—Si1—Cs1^x	72.45 (16)
O9ⁱⁱⁱ—Cs1—O7ⁱⁱⁱ	38.09 (8)	O9—Si1—Cs1^x	70.73 (16)
O1ⁱ—Cs1—O7ⁱⁱⁱ	168.40 (8)	O7—Si1—Cs1^x	74.49 (15)
O6—Cs1—O7ⁱⁱⁱ	100.87 (8)	O6^vii—Si1—Cs1^x	176.18 (16)
O5ⁱⁱⁱ—Cs1—O7ⁱⁱⁱ	38.11 (8)	Cs2^x—Si1—Cs1^x	56.08 (2)
O3—Cs1—Cs2ⁱⁱ	78.50 (8)	Cs3^vii—Si1—Cs1^x	110.23 (4)
O4ⁱ—Cs1—Cs2ⁱⁱ	94.13 (9)	Cs3—Si1—Cs1^x	51.107 (19)
O1ⁱⁱ—Cs1—Cs2ⁱⁱ	61.44 (8)	O5—Si1—Cs2^vii	140.66 (16)
O8ⁱⁱⁱ—Cs1—Cs2ⁱⁱ	69.12 (7)	O9—Si1—Cs2^vii	75.93 (16)
O2ⁱⁱ—Cs1—Cs2ⁱⁱ	96.98 (8)	O7—Si1—Cs2^vii	99.98 (15)
O7^iv—Cs1—Cs2ⁱⁱ	125.63 (7)	O6^vii—Si1—Cs2^vii	35.89 (14)
Si2^v—Cs1—Cs2ⁱⁱ	90.16 (3)	Cs2^x—Si1—Cs2^vii	117.07 (4)
O2^vi—Cs1—Cs2ⁱⁱ	44.23 (6)	Cs3^vii—Si1—Cs2^vii	56.30 (2)
Si3ⁱⁱⁱ—Cs1—Cs2ⁱⁱ	69.52 (3)	Cs3—Si1—Cs2^vii	165.12 (4)
Si3^iv—Cs1—Cs2ⁱⁱ	99.35 (3)	Cs1^x—Si1—Cs2^vii	141.46 (4)
Cs3ⁱⁱⁱ—Cs1—Cs2ⁱⁱ	122.524 (16)	O5—Si1—Cs1^vii	158.36 (17)
Cs2—Cs1—Cs2ⁱⁱ	145.944 (14)	O9—Si1—Cs1^vii	85.41 (16)
Si2ⁱⁱⁱ—Cs1—Cs2ⁱⁱ	56.96 (2)	O7—Si1—Cs1^vii	49.49 (15)
Cs3ⁱ—Cs1—Cs2ⁱⁱ	55.983 (11)	O6^vii—Si1—Cs1^vii	70.45 (15)
Lu1ⁱⁱ—Cs1—Cs2ⁱⁱ	82.056 (12)	Cs2^x—Si1—Cs1^vii	139.56 (4)
O9ⁱⁱⁱ—Cs1—Cs2ⁱⁱ	107.77 (6)	Cs3^vii—Si1—Cs1^vii	101.20 (3)
O1ⁱ—Cs1—Cs2ⁱⁱ	95.50 (6)	Cs3—Si1—Cs1^vii	123.71 (4)
O6—Cs1—Cs2ⁱⁱ	164.48 (6)	Cs1^x—Si1—Cs1^vii	105.74 (3)
O5ⁱⁱⁱ—Cs1—Cs2ⁱⁱ	130.80 (6)	Cs2^vii—Si1—Cs1^vii	51.995 (19)
O7ⁱⁱⁱ—Cs1—Cs2ⁱⁱ	92.69 (6)	O5—Si1—Cs2	81.83 (17)
O3—Cs1—Si1ⁱⁱⁱ	146.06 (10)	O9—Si1—Cs2	143.52 (16)
O4ⁱ—Cs1—Si1ⁱⁱⁱ	120.06 (8)	O7—Si1—Cs2	35.83 (15)
O1ⁱⁱ—Cs1—Si1ⁱⁱⁱ	52.03 (8)	O6^vii—Si1—Cs2	95.27 (19)
O8ⁱⁱⁱ—Cs1—Si1ⁱⁱⁱ	60.28 (8)	Cs2^x—Si1—Cs2	128.71 (4)
O2ⁱⁱ—Cs1—Si1ⁱⁱⁱ	70.43 (8)	Cs3^vii—Si1—Cs2	165.63 (4)
O7^iv—Cs1—Si1ⁱⁱⁱ	117.66 (7)	Cs3—Si1—Cs2	53.34 (2)
Si2^v—Cs1—Si1ⁱⁱⁱ	97.41 (3)	Cs1^x—Si1—Cs2	83.89 (3)
O2^vi—Cs1—Si1ⁱⁱⁱ	106.70 (7)	Cs2^vii—Si1—Cs2	114.22 (3)
Si3ⁱⁱⁱ—Cs1—Si1ⁱⁱⁱ	44.42 (3)	Cs1^vii—Si1—Cs2	76.55 (3)
Si3^iv—Cs1—Si1ⁱⁱⁱ	143.83 (3)	O5—Si1—Cs3^viii	115.92 (17)
Cs3ⁱⁱⁱ—Cs1—Si1ⁱⁱⁱ	62.63 (2)	O9—Si1—Cs3^viii	130.79 (17)
Cs2—Cs1—Si1ⁱⁱⁱ	54.42 (2)	O7—Si1—Cs3^viii	53.48 (14)
Si2ⁱⁱⁱ—Cs1—Si1ⁱⁱⁱ	83.16 (3)	O6^vii—Si1—Cs3^viii	50.38 (18)
Cs3ⁱ—Cs1—Si1ⁱⁱⁱ	157.30 (2)	Cs2^x—Si1—Cs3^viii	172.92 (4)
Lu1ⁱⁱ—Cs1—Si1ⁱⁱⁱ	50.86 (2)	Cs3^vii—Si1—Cs3^viii	118.36 (4)
O9ⁱⁱⁱ—Cs1—Si1ⁱⁱⁱ	22.07 (6)	Cs3—Si1—Cs3^viii	101.51 (3)
O1ⁱ—Cs1—Si1ⁱⁱⁱ	152.41 (6)	Cs1^x—Si1—Cs3^viii	127.30 (3)
O6—Cs1—Si1ⁱⁱⁱ	83.18 (6)	Cs2^vii—Si1—Cs3^viii	64.81 (2)
O5ⁱⁱⁱ—Cs1—Si1ⁱⁱⁱ	21.97 (6)	Cs1^vii—Si1—Cs3^viii	47.326 (17)
O7ⁱⁱⁱ—Cs1—Si1ⁱⁱⁱ	22.66 (6)	Cs2—Si1—Cs3^viii	49.844 (18)
Cs2ⁱⁱ—Cs1—Si1ⁱⁱⁱ	111.76 (2)	O4ⁱⁱⁱ—Si2—O2^iv	114.4 (2)
O3—Cs1—Si1^iv	67.82 (8)	O4ⁱⁱⁱ—Si2—O6	108.9 (2)
O4ⁱ—Cs1—Si1^iv	70.07 (9)	O2^iv—Si2—O6	110.9 (2)
O1ⁱⁱ—Cs1—Si1^iv	155.79 (8)	O4ⁱⁱⁱ—Si2—O8	110.2 (2)
O8ⁱⁱⁱ—Cs1—Si1^iv	130.11 (7)	O2^iv—Si2—O8	109.0 (2)
O2ⁱⁱ—Cs1—Si1^iv	99.45 (8)	O6—Si2—O8	102.8 (2)
O7^iv—Cs1—Si1^iv	21.25 (7)	O4ⁱⁱⁱ—Si2—Cs1^xiii	57.38 (15)
Si2^v—Cs1—Si1^iv	89.24 (3)	O2^iv—Si2—Cs1^xiii	61.05 (17)
O2^vi—Cs1—Si1^iv	120.01 (7)	O6—Si2—Cs1^xiii	109.69 (19)
Si3ⁱⁱⁱ—Cs1—Si1^iv	144.25 (3)	O8—Si2—Cs1^xiii	147.47 (15)
Si3^iv—Cs1—Si1^iv	43.97 (3)	O4ⁱⁱⁱ—Si2—Cs2	87.84 (16)
Cs3ⁱⁱⁱ—Cs1—Si1^iv	71.69 (2)	O2^iv—Si2—Cs2	157.77 (17)
Cs2—Cs1—Si1^iv	63.91 (2)	O6—Si2—Cs2	58.84 (15)
Si2ⁱⁱⁱ—Cs1—Si1^iv	125.74 (3)	O8—Si2—Cs2	59.33 (14)
Cs3ⁱ—Cs1—Si1^iv	89.85 (2)	Cs1^xiii—Si2—Cs2	139.33 (5)
Lu1ⁱⁱ—Cs1—Si1^iv	127.26 (2)	O4ⁱⁱⁱ—Si2—Cs2^xiii	85.86 (17)
O9ⁱⁱⁱ—Cs1—Si1^iv	108.59 (6)	O2^iv—Si2—Cs2^xiii	44.67 (15)
O1ⁱ—Cs1—Si1^iv	47.69 (6)	O6—Si2—Cs2^xiii	155.59 (15)
O6—Cs1—Si1^iv	22.56 (6)	O8—Si2—Cs2^xiii	89.49 (14)
O5ⁱⁱⁱ—Cs1—Si1^iv	85.35 (6)	Cs1^xiii—Si2—Cs2^xiii	61.26 (3)
O7ⁱⁱⁱ—Cs1—Si1^iv	122.62 (6)	Cs2—Si2—Cs2^xiii	143.49 (4)
Cs2ⁱⁱ—Cs1—Si1^iv	142.25 (2)	O4ⁱⁱⁱ—Si2—Cs1^x	138.82 (17)
Si1ⁱⁱⁱ—Cs1—Si1^iv	105.74 (3)	O2^iv—Si2—Cs1^x	63.90 (17)
O3—Cs1—Lu1^vi	26.72 (8)	O6—Si2—Cs1^x	109.48 (18)
O4ⁱ—Cs1—Lu1^vi	108.40 (8)	O8—Si2—Cs1^x	46.25 (14)
O1ⁱⁱ—Cs1—Lu1^vi	109.36 (8)	Cs1^xiii—Si2—Cs1^x	120.44 (4)
O8ⁱⁱⁱ—Cs1—Lu1^vi	73.39 (7)	Cs2—Si2—Cs1^x	99.38 (4)
O2ⁱⁱ—Cs1—Lu1^vi	150.75 (7)	Cs2^xiii—Si2—Cs1^x	64.41 (3)
O7^iv—Cs1—Lu1^vi	71.56 (7)	O4ⁱⁱⁱ—Si2—Cs3ⁱⁱⁱ	40.57 (16)
Si2^v—Cs1—Lu1^vi	127.96 (3)	O2^iv—Si2—Cs3ⁱⁱⁱ	119.76 (18)
O2^vi—Cs1—Lu1^vi	30.44 (7)	O6—Si2—Cs3ⁱⁱⁱ	69.88 (18)
Si3ⁱⁱⁱ—Cs1—Lu1^vi	97.11 (3)	O8—Si2—Cs3ⁱⁱⁱ	130.14 (15)
Si3^iv—Cs1—Lu1^vi	52.34 (2)	Cs1^xiii—Si2—Cs3ⁱⁱⁱ	62.82 (3)
Cs3ⁱⁱⁱ—Cs1—Lu1^vi	82.461 (11)	Cs2—Si2—Cs3ⁱⁱⁱ	77.16 (3)
Cs2—Cs1—Lu1^vi	154.785 (14)	Cs2^xiii—Si2—Cs3ⁱⁱⁱ	117.73 (4)
Si2ⁱⁱⁱ—Cs1—Lu1^vi	50.75 (2)	Cs1^x—Si2—Cs3ⁱⁱⁱ	176.34 (4)
Cs3ⁱ—Cs1—Lu1^vi	62.206 (10)	O4ⁱⁱⁱ—Si2—Cs3	146.46 (17)
Lu1ⁱⁱ—Cs1—Lu1^vi	139.577 (14)	O2^iv—Si2—Cs3	98.88 (17)
O9ⁱⁱⁱ—Cs1—Lu1^vi	149.30 (6)	O6—Si2—Cs3	59.64 (19)
O1ⁱ—Cs1—Lu1^vi	66.27 (6)	O8—Si2—Cs3	51.01 (13)
O6—Cs1—Lu1^vi	108.21 (6)	Cs1^xiii—Si2—Cs3	153.99 (4)
O5ⁱⁱⁱ—Cs1—Lu1^vi	126.37 (6)	Cs2—Si2—Cs3	58.92 (2)
O7ⁱⁱⁱ—Cs1—Lu1^vi	111.62 (6)	Cs2^xiii—Si2—Cs3	117.51 (4)
Cs2ⁱⁱ—Cs1—Lu1^vi	59.080 (10)	Cs1^x—Si2—Cs3	53.25 (2)
Si1ⁱⁱⁱ—Cs1—Lu1^vi	131.45 (2)	Cs3ⁱⁱⁱ—Si2—Cs3	124.76 (4)
Si1^iv—Cs1—Lu1^vi	92.64 (2)	O4ⁱⁱⁱ—Si2—Cs1	76.58 (17)
O3—Cs1—O6^v	109.67 (11)	O2^iv—Si2—Cs1	137.47 (17)
O4ⁱ—Cs1—O6^v	36.49 (10)	O6—Si2—Cs1	34.26 (15)
O1ⁱⁱ—Cs1—O6^v	75.04 (9)	O8—Si2—Cs1	104.15 (15)
O8ⁱⁱⁱ—Cs1—O6^v	123.67 (9)	Cs1^xiii—Si2—Cs1	101.58 (3)
O2ⁱⁱ—Cs1—O6^v	37.56 (9)	Cs2—Si2—Cs1	45.200 (19)
O7^iv—Cs1—O6^v	116.34 (8)	Cs2^xiii—Si2—Cs1	160.60 (4)
Si2^v—Cs1—O6^v	20.90 (6)	Cs1^x—Si2—Cs1	134.92 (4)
O2^vi—Cs1—O6^v	112.95 (9)	Cs3ⁱⁱⁱ—Si2—Cs1	42.877 (16)
Si3ⁱⁱⁱ—Cs1—O6^v	101.46 (5)	Cs3—Si2—Cs1	81.89 (2)
Si3^iv—Cs1—O6^v	103.82 (6)	O4ⁱⁱⁱ—Si2—Cs3^xiii	67.32 (16)
Cs3ⁱⁱⁱ—Cs1—O6^v	164.12 (6)	O2^iv—Si2—Cs3^xiii	89.29 (16)
Cs2—Cs1—O6^v	83.59 (6)	O6—Si2—Cs3^xiii	158.25 (15)
Si2ⁱⁱⁱ—Cs1—O6^v	123.87 (6)	O8—Si2—Cs3^xiii	61.41 (14)
Cs3ⁱ—Cs1—O6^v	54.80 (6)	Cs1^xiii—Si2—Cs3^xiii	86.70 (3)
Lu1ⁱⁱ—Cs1—O6^v	54.89 (5)	Cs2—Si2—Cs3^xiii	99.41 (3)
O9ⁱⁱⁱ—Cs1—O6^v	82.45 (8)	Cs2^xiii—Si2—Cs3^xiii	45.395 (17)
O1ⁱ—Cs1—O6^v	80.95 (7)	Cs1^x—Si2—Cs3^xiii	71.50 (2)
O6—Cs1—O6^v	112.32 (11)	Cs3ⁱⁱⁱ—Si2—Cs3^xiii	107.68 (3)
O5ⁱⁱⁱ—Cs1—O6^v	118.59 (9)	Cs3—Si2—Cs3^xiii	110.86 (3)
O7ⁱⁱⁱ—Cs1—O6^v	109.72 (8)	Cs1—Si2—Cs3^xiii	130.50 (3)
Cs2ⁱⁱ—Cs1—O6^v	69.27 (6)	O3^vii—Si3—O1^xiii	114.7 (2)
Si1ⁱⁱⁱ—Cs1—O6^v	104.15 (6)	O3^vii—Si3—O7	108.3 (2)
Si1^iv—Cs1—O6^v	105.97 (6)	O1^xiii—Si3—O7	110.7 (2)
Lu1^vi—Cs1—O6^v	113.42 (6)	O3^vii—Si3—O8	109.6 (2)
O2ⁱⁱ—Cs2—O9ⁱⁱⁱ	60.35 (11)	O1^xiii—Si3—O8	110.1 (2)
O2ⁱⁱ—Cs2—O6	116.46 (11)	O7—Si3—O8	102.7 (2)
O9ⁱⁱⁱ—Cs2—O6	129.40 (12)	O3^vii—Si3—Cs1^x	153.15 (18)
O2ⁱⁱ—Cs2—O8	162.29 (11)	O1^xiii—Si3—Cs1^x	57.13 (16)
O9ⁱⁱⁱ—Cs2—O8	134.84 (10)	O7—Si3—Cs1^x	98.21 (15)
O6—Cs2—O8	48.68 (10)	O8—Si3—Cs1^x	58.73 (14)
O2ⁱⁱ—Cs2—O5ⁱⁱⁱ	100.65 (11)	O3^vii—Si3—Cs1^vii	51.18 (16)
O9ⁱⁱⁱ—Cs2—O5ⁱⁱⁱ	50.71 (10)	O1^xiii—Si3—Cs1^vii	94.80 (16)
O6—Cs2—O5ⁱⁱⁱ	85.47 (11)	O7—Si3—Cs1^vii	73.12 (15)
O8—Cs2—O5ⁱⁱⁱ	88.54 (10)	O8—Si3—Cs1^vii	154.24 (16)
O2ⁱⁱ—Cs2—O7	142.42 (12)	Cs1^x—Si3—Cs1^vii	146.38 (5)
O9ⁱⁱⁱ—Cs2—O7	113.07 (10)	O3^vii—Si3—Cs2	81.85 (18)
O6—Cs2—O7	96.27 (10)	O1^xiii—Si3—Cs2	163.35 (17)
O8—Cs2—O7	48.07 (10)	O7—Si3—Cs2	62.53 (15)
O5ⁱⁱⁱ—Cs2—O7	99.82 (11)	O8—Si3—Cs2	59.86 (14)
O2ⁱⁱ—Cs2—Si3	168.59 (9)	Cs1^x—Si3—Cs2	107.41 (4)
O9ⁱⁱⁱ—Cs2—Si3	115.18 (8)	Cs1^vii—Si3—Cs2	97.32 (4)
O6—Cs2—Si3	74.72 (8)	O3^vii—Si3—Cs3^xiii	64.63 (17)
O8—Cs2—Si3	27.25 (7)	O1^xiii—Si3—Cs3^xiii	50.25 (15)
O5ⁱⁱⁱ—Cs2—Si3	81.86 (8)	O7—Si3—Cs3^xiii	131.83 (16)
O7—Cs2—Si3	27.12 (7)	O8—Si3—Cs3^xiii	124.96 (15)
O2ⁱⁱ—Cs2—Si2	141.91 (9)	Cs1^x—Si3—Cs3^xiii	100.79 (4)
O9ⁱⁱⁱ—Cs2—Si2	125.57 (8)	Cs1^vii—Si3—Cs3^xiii	66.63 (3)
O6—Cs2—Si2	26.81 (7)	Cs2—Si3—Cs3^xiii	146.01 (5)
O8—Cs2—Si2	27.00 (7)	O3^vii—Si3—Cs3	136.15 (18)
O5ⁱⁱⁱ—Cs2—Si2	74.91 (8)	O1^xiii—Si3—Cs3	107.39 (16)
O7—Cs2—Si2	74.19 (7)	O7—Si3—Cs3	65.40 (15)
Si3—Cs2—Si2	49.50 (3)	O8—Si3—Cs3	40.97 (13)
O2ⁱⁱ—Cs2—Si1ⁱⁱⁱ	80.29 (8)	Cs1^x—Si3—Cs3	52.75 (2)
O9ⁱⁱⁱ—Cs2—Si1ⁱⁱⁱ	25.30 (8)	Cs1^vii—Si3—Cs3	137.60 (4)
O6—Cs2—Si1ⁱⁱⁱ	108.13 (9)	Cs2—Si3—Cs3	56.09 (2)
O8—Cs2—Si1ⁱⁱⁱ	112.01 (7)	Cs3^xiii—Si3—Cs3	153.02 (4)
O5ⁱⁱⁱ—Cs2—Si1ⁱⁱⁱ	25.42 (8)	O3^vii—Si3—Cs2^xiii	92.04 (17)
O7—Cs2—Si1ⁱⁱⁱ	107.81 (8)	O1^xiii—Si3—Cs2^xiii	56.69 (15)
Si3—Cs2—Si1ⁱⁱⁱ	98.82 (3)	O7—Si3—Cs2^xiii	159.60 (15)
Si2—Cs2—Si1ⁱⁱⁱ	100.32 (3)	O8—Si3—Cs2^xiii	70.95 (14)
O2ⁱⁱ—Cs2—O3^vii	152.44 (10)	Cs1^x—Si3—Cs2^xiii	61.71 (2)
O9ⁱⁱⁱ—Cs2—O3^vii	92.16 (10)	Cs1^vii—Si3—Cs2^xiii	121.05 (4)
O6—Cs2—O3^vii	81.52 (9)	Cs2—Si3—Cs2^xiii	124.31 (4)
O8—Cs2—O3^vii	44.34 (10)	Cs3^xiii—Si3—Cs2^xiii	55.42 (2)
O5ⁱⁱⁱ—Cs2—O3^vii	58.02 (10)	Cs3—Si3—Cs2^xiii	101.28 (3)
O7—Cs2—O3^vii	43.55 (10)	O3^vii—Si3—Cs3^viii	62.66 (17)
Si3—Cs2—O3^vii	24.87 (7)	O1^xiii—Si3—Cs3^viii	136.69 (16)
Si2—Cs2—O3^vii	54.92 (7)	O7—Si3—Cs3^viii	46.17 (14)
Si1ⁱⁱⁱ—Cs2—O3^vii	73.99 (7)	O8—Si3—Cs3^viii	110.86 (15)
O2ⁱⁱ—Cs2—Cs1	52.35 (9)	Cs1^x—Si3—Cs3^viii	142.47 (4)
O9ⁱⁱⁱ—Cs2—Cs1	71.11 (8)	Cs1^vii—Si3—Cs3^viii	47.709 (19)
O6—Cs2—Cs1	71.60 (8)	Cs2—Si3—Cs3^viii	51.00 (2)
O8—Cs2—Cs1	118.44 (7)	Cs3^xiii—Si3—Cs3^viii	112.21 (3)
O5ⁱⁱⁱ—Cs2—Cs1	71.37 (8)	Cs3—Si3—Cs3^viii	94.54 (3)
O7—Cs2—Cs1	165.18 (7)	Cs2^xiii—Si3—Cs3^viii	154.16 (4)
Si3—Cs2—Cs1	138.07 (3)	O3^vii—Si3—Cs2^x	160.88 (17)
Si2—Cs2—Cs1	91.75 (3)	O1^xiii—Si3—Cs2^x	60.62 (16)
Si1ⁱⁱⁱ—Cs2—Cs1	69.50 (2)	O7—Si3—Cs2^x	61.07 (14)
O3^vii—Cs2—Cs1	123.97 (7)	O8—Si3—Cs2^x	88.89 (14)
O2ⁱⁱ—Cs2—O1	76.22 (10)	Cs1^x—Si3—Cs2^x	42.697 (19)
O9ⁱⁱⁱ—Cs2—O1	122.55 (10)	Cs1^vii—Si3—Cs2^x	109.74 (3)
O6—Cs2—O1	102.09 (11)	Cs2—Si3—Cs2^x	104.30 (3)
O8—Cs2—O1	96.35 (9)	Cs3^xiii—Si3—Cs2^x	109.29 (3)
O5ⁱⁱⁱ—Cs2—O1	172.44 (10)	Cs3—Si3—Cs2^x	56.810 (18)
O7—Cs2—O1	79.40 (9)	Cs2^xiii—Si3—Cs2^x	98.93 (3)
Si3—Cs2—O1	99.88 (6)	Cs3^viii—Si3—Cs2^x	106.84 (3)
Si2—Cs2—O1	111.86 (7)	Si3^v—O1—Lu1	134.3 (2)
Si1ⁱⁱⁱ—Cs2—O1	147.70 (7)	Si3^v—O1—Cs3	104.8 (2)
O3^vii—Cs2—O1	122.49 (9)	Lu1—O1—Cs3	91.04 (13)
Cs1—Cs2—O1	110.92 (6)	Si3^v—O1—Cs1^xiv	96.38 (18)
O2ⁱⁱ—Cs2—Cs3^viii	87.93 (8)	Lu1—O1—Cs1^xiv	97.95 (14)
O9ⁱⁱⁱ—Cs2—Cs3^viii	49.43 (7)	Cs3—O1—Cs1^xiv	140.01 (15)
O6—Cs2—Cs3^viii	151.89 (7)	Si3^v—O1—Cs2	102.74 (17)
O8—Cs2—Cs3^viii	109.11 (7)	Lu1—O1—Cs2	122.93 (14)
O5ⁱⁱⁱ—Cs2—Cs3^viii	75.88 (8)	Cs3—O1—Cs2	68.04 (8)
O7—Cs2—Cs3^viii	67.09 (7)	Cs1^xiv—O1—Cs2	74.50 (9)
Si3—Cs2—Cs3^viii	81.86 (3)	Si3^v—O1—Cs1^ix	61.90 (14)
Si2—Cs2—Cs3^viii	125.72 (3)	Lu1—O1—Cs1^ix	86.80 (12)
Si1ⁱⁱⁱ—Cs2—Cs3^viii	60.02 (2)	Cs3—O1—Cs1^ix	67.65 (8)
O3^vii—Cs2—Cs3^viii	70.81 (7)	Cs1^xiv—O1—Cs1^ix	151.28 (13)
Cs1—Cs2—Cs3^viii	120.123 (14)	Cs2—O1—Cs1^ix	126.11 (11)
O1—Cs2—Cs3^viii	97.01 (7)	Si3^v—O1—Cs2^xiv	102.96 (17)
O2ⁱⁱ—Cs2—Cs3	110.12 (8)	Lu1—O1—Cs2^xiv	57.87 (9)
O9ⁱⁱⁱ—Cs2—Cs3	167.48 (8)	Cs3—O1—Cs2^xiv	148.00 (12)
O6—Cs2—Cs3	61.02 (9)	Cs1^xiv—O1—Cs2^xiv	49.83 (6)
O8—Cs2—Cs3	56.18 (7)	Cs2—O1—Cs2^xiv	120.32 (10)
O5ⁱⁱⁱ—Cs2—Cs3	141.80 (8)	Cs1^ix—O1—Cs2^xiv	113.54 (9)
O7—Cs2—Cs3	68.79 (7)	Si3^v—O1—Cs3^v	55.25 (14)
Si3—Cs2—Cs3	72.48 (2)	Lu1—O1—Cs3^v	114.01 (13)
Si2—Cs2—Cs3	66.93 (2)	Cs3—O1—Cs3^v	154.67 (12)
Si1ⁱⁱⁱ—Cs2—Cs3	167.22 (3)	Cs1^xiv—O1—Cs3^v	44.07 (5)
O3^vii—Cs2—Cs3	96.75 (7)	Cs2—O1—Cs3^v	99.05 (8)
Cs1—Cs2—Cs3	110.429 (14)	Cs1^ix—O1—Cs3^v	108.26 (8)
O1—Cs2—Cs3	44.97 (6)	Cs2^xiv—O1—Cs3^v	57.29 (5)
Cs3^viii—Cs2—Cs3	125.956 (16)	Si3^v—O1—Cs2^v	11.56 (12)
O2ⁱⁱ—Cs2—Si2^v	22.24 (8)	Lu1—O1—Cs2^v	132.00 (14)
O9ⁱⁱⁱ—Cs2—Si2^v	82.51 (8)	Cs3—O1—Cs2^v	116.19 (11)
O6—Cs2—Si2^v	101.92 (7)	Cs1^xiv—O1—Cs2^v	85.77 (8)
O8—Cs2—Si2^v	140.84 (7)	Cs2—O1—Cs2^v	104.28 (8)
O5ⁱⁱⁱ—Cs2—Si2^v	117.87 (8)	Cs1^ix—O1—Cs2^v	70.55 (6)
O7—Cs2—Si2^v	138.99 (8)	Cs2^xiv—O1—Cs2^v	92.60 (7)
Si3—Cs2—Si2^v	159.96 (3)	Cs3^v—O1—Cs2^v	43.78 (3)
Si2—Cs2—Si2^v	128.69 (3)	Si2^vii—O2—Lu1	139.2 (2)
Si1ⁱⁱⁱ—Cs2—Si2^v	100.95 (3)	Si2^vii—O2—Cs2^xiv	113.1 (2)
O3^vii—Cs2—Si2^v	174.67 (7)	Lu1—O2—Cs2^xiv	107.66 (14)
Cs1—Cs2—Si2^v	54.31 (2)	Si2^vii—O2—Cs1^xiv	91.77 (19)
O1—Cs2—Si2^v	61.06 (6)	Lu1—O2—Cs1^xiv	97.65 (15)
Cs3^viii—Cs2—Si2^v	105.34 (2)	Cs2^xiv—O2—Cs1^xiv	77.51 (10)
Cs3—Cs2—Si2^v	88.51 (2)	Si2^vii—O2—Cs1^xii	92.29 (19)
O2ⁱⁱ—Cs2—O4ⁱⁱⁱ	136.35 (11)	Lu1—O2—Cs1^xii	94.64 (14)
O9ⁱⁱⁱ—Cs2—O4ⁱⁱⁱ	101.65 (10)	Cs2^xiv—O2—Cs1^xii	79.10 (10)
O6—Cs2—O4ⁱⁱⁱ	42.12 (9)	Cs1^xiv—O2—Cs1^xii	155.96 (14)
O8—Cs2—O4ⁱⁱⁱ	42.65 (9)	Si2^vii—O2—Cs3^vii	61.25 (14)
O5ⁱⁱⁱ—Cs2—O4ⁱⁱⁱ	50.93 (9)	Lu1—O2—Cs3^vii	93.74 (12)
O7—Cs2—O4ⁱⁱⁱ	80.39 (10)	Cs2^xiv—O2—Cs3^vii	126.68 (13)
Si3—Cs2—O4ⁱⁱⁱ	53.29 (7)	Cs1^xiv—O2—Cs3^vii	148.21 (12)
Si2—Cs2—O4ⁱⁱⁱ	24.01 (6)	Cs1^xii—O2—Cs3^vii	50.31 (5)
Si1ⁱⁱⁱ—Cs2—O4ⁱⁱⁱ	76.35 (6)	Si2^vii—O2—Cs3^ix	144.7 (2)
O3^vii—Cs2—O4ⁱⁱⁱ	45.57 (9)	Lu1—O2—Cs3^ix	64.56 (10)
Cs1—Cs2—O4ⁱⁱⁱ	84.84 (6)	Cs2^xiv—O2—Cs3^ix	53.55 (7)
O1—Cs2—O4ⁱⁱⁱ	135.67 (8)	Cs1^xiv—O2—Cs3^ix	113.05 (10)
Cs3^viii—Cs2—O4ⁱⁱⁱ	110.60 (6)	Cs1^xii—O2—Cs3^ix	54.90 (6)
Cs3—Cs2—O4ⁱⁱⁱ	90.87 (6)	Cs3^vii—O2—Cs3^ix	98.65 (9)
Si2^v—Cs2—O4ⁱⁱⁱ	135.59 (7)	Si2^vii—O2—Cs3^viii	44.36 (14)
O2ⁱⁱ—Cs2—O4ⁱ	40.92 (10)	Lu1—O2—Cs3^viii	117.77 (15)
O9ⁱⁱⁱ—Cs2—O4ⁱ	96.37 (10)	Cs2^xiv—O2—Cs3^viii	113.50 (11)
O6—Cs2—O4ⁱ	79.08 (9)	Cs1^xiv—O2—Cs3^viii	51.75 (7)
O8—Cs2—O4ⁱ	121.40 (9)	Cs1^xii—O2—Cs3^viii	136.66 (10)
O5ⁱⁱⁱ—Cs2—O4ⁱ	115.22 (9)	Cs3^vii—O2—Cs3^viii	96.80 (7)
O7—Cs2—O4ⁱ	143.93 (9)	Cs3^ix—O2—Cs3^viii	164.19 (9)
Si3—Cs2—O4ⁱ	147.41 (6)	Si2^vii—O2—Cs2^vii	15.48 (12)
Si2—Cs2—O4ⁱ	105.88 (6)	Lu1—O2—Cs2^vii	129.20 (13)
Si1ⁱⁱⁱ—Cs2—O4ⁱ	107.58 (6)	Cs2^xiv—O2—Cs2^vii	120.81 (11)
O3^vii—Cs2—O4ⁱ	159.99 (9)	Cs1^xiv—O2—Cs2^vii	106.26 (10)
Cs1—Cs2—O4ⁱ	43.99 (6)	Cs1^xii—O2—Cs2^vii	81.19 (8)
O1—Cs2—O4ⁱ	66.98 (8)	Cs3^vii—O2—Cs2^vii	45.79 (4)
Cs3^viii—Cs2—O4ⁱ	127.87 (6)	Cs3^ix—O2—Cs2^vii	135.98 (10)
Cs3—Cs2—O4ⁱ	78.05 (6)	Cs3^viii—O2—Cs2^vii	56.35 (4)
Si2^v—Cs2—O4ⁱ	22.85 (6)	Si2^vii—O2—Cs3	109.84 (18)
O4ⁱⁱⁱ—Cs2—O4ⁱ	114.71 (8)	Lu1—O2—Cs3	35.50 (8)
O2ⁱⁱ—Cs2—Cs1^xiv	56.67 (9)	Cs2^xiv—O2—Cs3	131.18 (11)
O9ⁱⁱⁱ—Cs2—Cs1^xiv	79.73 (7)	Cs1^xiv—O2—Cs3	79.05 (9)
O6—Cs2—Cs1^xiv	145.22 (8)	Cs1^xii—O2—Cs3	121.43 (10)
O8—Cs2—Cs1^xiv	127.74 (7)	Cs3^vii—O2—Cs3	93.90 (7)
O5ⁱⁱⁱ—Cs2—Cs1^xiv	128.48 (8)	Cs3^ix—O2—Cs3	99.66 (7)
O7—Cs2—Cs1^xiv	85.99 (7)	Cs3^viii—O2—Cs3	82.57 (7)
Si3—Cs2—Cs1^xiv	113.08 (3)	Cs2^vii—O2—Cs3	106.64 (7)
Si2—Cs2—Cs1^xiv	152.34 (3)	Si2^vii—O2—Cs2^x	94.90 (16)
Si1ⁱⁱⁱ—Cs2—Cs1^xiv	104.07 (3)	Lu1—O2—Cs2^x	50.45 (8)
O3^vii—Cs2—Cs1^xiv	120.44 (7)	Cs2^xiv—O2—Cs2^x	139.86 (13)
Cs1—Cs2—Cs1^xiv	108.832 (10)	Cs1^xiv—O2—Cs2^x	131.88 (12)
O1—Cs2—Cs1^xiv	44.06 (6)	Cs1^xii—O2—Cs2^x	71.28 (7)
Cs3^viii—Cs2—Cs1^xiv	59.406 (10)	Cs3^vii—O2—Cs2^x	44.37 (4)
Cs3—Cs2—Cs1^xiv	88.161 (13)	Cs3^ix—O2—Cs2^x	86.90 (7)
Si2^v—Cs2—Cs1^xiv	58.63 (2)	Cs3^viii—O2—Cs2^x	106.64 (7)
O4ⁱⁱⁱ—Cs2—Cs1^xiv	165.72 (6)	Cs2^vii—O2—Cs2^x	81.15 (5)
O4ⁱ—Cs2—Cs1^xiv	79.01 (6)	Cs3—O2—Cs2^x	53.91 (4)
O2ⁱⁱ—Cs2—Lu1ⁱⁱ	29.98 (8)	Si3^iv—O3—Lu1^vi	139.2 (3)
O9ⁱⁱⁱ—Cs2—Lu1ⁱⁱ	30.64 (8)	Si3^iv—O3—Cs1	103.2 (2)
O6—Cs2—Lu1ⁱⁱ	131.47 (9)	Lu1^vi—O3—Cs1	117.44 (16)
O8—Cs2—Lu1ⁱⁱ	165.07 (7)	Si3^iv—O3—Cs3ⁱ	89.78 (19)
O5ⁱⁱⁱ—Cs2—Lu1ⁱⁱ	76.86 (7)	Lu1^vi—O3—Cs3ⁱ	100.59 (15)
O7—Cs2—Lu1ⁱⁱ	130.90 (7)	Cs1—O3—Cs3ⁱ	79.85 (11)
Si3—Cs2—Lu1ⁱⁱ	143.66 (3)	Si3^iv—O3—Cs2^iv	73.28 (16)
Si2—Cs2—Lu1ⁱⁱ	145.25 (3)	Lu1^vi—O3—Cs2^iv	89.12 (14)
Si1ⁱⁱⁱ—Cs2—Lu1ⁱⁱ	53.07 (2)	Cs1—O3—Cs2^iv	109.09 (13)
O3^vii—Cs2—Lu1ⁱⁱ	122.46 (7)	Cs3ⁱ—O3—Cs2^iv	162.11 (13)
Cs1—Cs2—Lu1ⁱⁱ	59.975 (10)	Si3^iv—O3—Cs3ⁱⁱⁱ	98.58 (18)
O1—Cs2—Lu1ⁱⁱ	97.88 (6)	Lu1^vi—O3—Cs3ⁱⁱⁱ	101.10 (14)
Cs3^viii—Cs2—Lu1ⁱⁱ	64.629 (10)	Cs1—O3—Cs3ⁱⁱⁱ	55.28 (8)
Cs3—Cs2—Lu1ⁱⁱ	138.708 (14)	Cs3ⁱ—O3—Cs3ⁱⁱⁱ	135.11 (12)
Si2^v—Cs2—Lu1ⁱⁱ	52.22 (2)	Cs2^iv—O3—Cs3ⁱⁱⁱ	55.62 (6)
O4ⁱⁱⁱ—Cs2—Lu1ⁱⁱ	124.89 (6)	Si3^iv—O3—Cs2ⁱⁱ	143.6 (2)
O4ⁱ—Cs2—Lu1ⁱⁱ	68.93 (6)	Lu1^vi—O3—Cs2ⁱⁱ	66.29 (10)
Cs1^xiv—Cs2—Lu1ⁱⁱ	62.263 (9)	Cs1—O3—Cs2ⁱⁱ	63.70 (8)
O2ⁱⁱ—Cs2—O8^v	38.65 (10)	Cs3ⁱ—O3—Cs2ⁱⁱ	55.48 (6)
O9ⁱⁱⁱ—Cs2—O8^v	95.23 (9)	Cs2^iv—O3—Cs2ⁱⁱ	142.24 (12)
O6—Cs2—O8^v	108.13 (9)	Cs3ⁱⁱⁱ—O3—Cs2ⁱⁱ	99.72 (8)
O8—Cs2—O8^v	129.66 (6)	Si3^iv—O3—Cs2ⁱ	68.55 (16)
O5ⁱⁱⁱ—Cs2—O8^v	139.20 (9)	Lu1^vi—O3—Cs2ⁱ	86.51 (12)
O7—Cs2—O8^v	115.96 (9)	Cs1—O3—Cs2ⁱ	131.12 (14)
Si3—Cs2—O8^v	138.41 (6)	Cs3ⁱ—O3—Cs2ⁱ	52.98 (6)
Si2—Cs2—O8^v	131.61 (6)	Cs2^iv—O3—Cs2ⁱ	113.46 (10)
Si1ⁱⁱⁱ—Cs2—O8^v	118.10 (6)	Cs3ⁱⁱⁱ—O3—Cs2ⁱ	166.07 (10)
O3^vii—Cs2—O8^v	159.22 (8)	Cs2ⁱⁱ—O3—Cs2ⁱ	94.02 (8)
Cs1—Cs2—O8^v	76.81 (5)	Si3^iv—O3—Cs1^xi	18.67 (12)
O1—Cs2—O8^v	38.53 (8)	Lu1^vi—O3—Cs1^xi	124.64 (15)
Cs3^viii—Cs2—O8^v	99.68 (5)	Cs1—O3—Cs1^xi	117.25 (11)
Cs3—Cs2—O8^v	73.48 (5)	Cs3ⁱ—O3—Cs1^xi	80.99 (8)
Si2^v—Cs2—O8^v	23.12 (6)	Cs2^iv—O3—Cs1^xi	81.13 (7)
O4ⁱⁱⁱ—Cs2—O8^v	149.51 (8)	Cs3ⁱⁱⁱ—O3—Cs1^xi	116.34 (9)
O4ⁱ—Cs2—O8^v	37.39 (8)	Cs2ⁱⁱ—O3—Cs1^xi	136.22 (10)
Cs1^xiv—Cs2—O8^v	42.75 (5)	Cs2ⁱ—O3—Cs1^xi	50.34 (4)
Lu1ⁱⁱ—Cs2—O8^v	65.24 (5)	Si3^iv—O3—Cs3^vi	110.12 (19)
O2ⁱⁱ—Cs2—O9^iv	89.10 (10)	Lu1^vi—O3—Cs3^vi	32.72 (8)
O9ⁱⁱⁱ—Cs2—O9^iv	138.56 (12)	Cs1—O3—Cs3^vi	138.99 (13)
O6—Cs2—O9^iv	38.75 (9)	Cs3ⁱ—O3—Cs3^vi	122.52 (11)
O8—Cs2—O9^iv	73.20 (9)	Cs2^iv—O3—Cs3^vi	60.87 (6)
O5ⁱⁱⁱ—Cs2—O9^iv	118.34 (10)	Cs3ⁱⁱⁱ—O3—Cs3^vi	95.80 (8)
O7—Cs2—O9^iv	108.15 (9)	Cs2ⁱⁱ—O3—Cs3^vi	99.02 (7)
Si3—Cs2—O9^iv	99.56 (6)	Cs2ⁱ—O3—Cs3^vi	84.26 (7)
Si2—Cs2—O9^iv	62.44 (6)	Cs1^xi—O3—Cs3^vi	101.02 (7)
Si1ⁱⁱⁱ—Cs2—O9^iv	132.99 (6)	Si2^x—O4—Lu1	138.2 (2)
O3^vii—Cs2—O9^iv	115.71 (9)	Si2^x—O4—Cs1^ix	95.68 (18)
Cs1—Cs2—O9^iv	67.93 (6)	Lu1—O4—Cs1^ix	119.96 (17)
O1—Cs2—O9^iv	68.78 (8)	Si2^x—O4—Cs3	119.6 (2)
Cs3^viii—Cs2—O9^iv	165.78 (6)	Lu1—O4—Cs3	88.09 (13)
Cs3—Cs2—O9^iv	43.01 (5)	Cs1^ix—O4—Cs3	82.89 (10)
Si2^v—Cs2—O9^iv	68.90 (6)	Si2^x—O4—Cs2^x	68.15 (15)
O4ⁱⁱⁱ—Cs2—O9^iv	80.87 (8)	Lu1—O4—Cs2^x	84.32 (12)
O4ⁱ—Cs2—O9^iv	48.22 (8)	Cs1^ix—O4—Cs2^x	153.06 (14)
Cs1^xiv—Cs2—O9^iv	107.67 (6)	Cs3—O4—Cs2^x	86.77 (10)
Lu1ⁱⁱ—Cs2—O9^iv	116.42 (6)	Si2^x—O4—Cs2^ix	71.29 (16)
O8^v—Cs2—O9^iv	69.78 (8)	Lu1—O4—Cs2^ix	104.76 (15)
O2ⁱⁱ—Cs2—Si1^iv	101.18 (9)	Cs1^ix—O4—Cs2^ix	62.36 (8)
O9ⁱⁱⁱ—Cs2—Si1^iv	132.27 (8)	Cs3—O4—Cs2^ix	144.96 (13)
O6—Cs2—Si1^iv	18.14 (7)	Cs2^x—O4—Cs2^ix	126.30 (10)
O8—Cs2—Si1^iv	62.24 (7)	Si2^x—O4—Cs3^ix	95.57 (17)
O5ⁱⁱⁱ—Cs2—Si1^iv	98.14 (8)	Lu1—O4—Cs3^ix	59.22 (10)
O7—Cs2—Si1^iv	106.69 (7)	Cs1^ix—O4—Cs3^ix	100.48 (11)
Si3—Cs2—Si1^iv	89.40 (3)	Cs3—O4—Cs3^ix	144.32 (12)
Si2—Cs2—Si1^iv	44.31 (3)	Cs2^x—O4—Cs3^ix	102.39 (8)
Si1ⁱⁱⁱ—Cs2—Si1^iv	117.07 (4)	Cs2^ix—O4—Cs3^ix	48.73 (5)
O3^vii—Cs2—Si1^iv	99.23 (7)	Si2^x—O4—Cs1^x	86.04 (18)
Cs1—Cs2—Si1^iv	64.09 (2)	Lu1—O4—Cs1^x	97.52 (13)
O1—Cs2—Si1^iv	89.26 (7)	Cs1^ix—O4—Cs1^x	113.68 (11)
Cs3^viii—Cs2—Si1^iv	169.99 (2)	Cs3—O4—Cs1^x	43.21 (6)
Cs3—Cs2—Si1^iv	54.81 (2)	Cs2^x—O4—Cs1^x	46.48 (5)
Si2^v—Cs2—Si1^iv	84.51 (3)	Cs2^ix—O4—Cs1^x	155.91 (10)
O4ⁱⁱⁱ—Cs2—Si1^iv	59.82 (6)	Cs3^ix—O4—Cs1^x	145.50 (9)
O4ⁱ—Cs2—Si1^iv	61.86 (6)	Si2^x—O4—Cs1^xv	29.68 (13)
Cs1^xiv—Cs2—Si1^iv	129.33 (2)	Lu1—O4—Cs1^xv	115.56 (13)
Lu1ⁱⁱ—Cs2—Si1^iv	122.36 (2)	Cs1^ix—O4—Cs1^xv	100.12 (10)
O8^v—Cs2—Si1^iv	90.09 (6)	Cs3—O4—Cs1^xv	149.06 (12)
O9^iv—Cs2—Si1^iv	21.67 (6)	Cs2^x—O4—Cs1^xv	76.74 (6)
O2ⁱⁱ—Cs2—Lu1ⁱⁱⁱ	130.86 (8)	Cs2^ix—O4—Cs1^xv	51.25 (5)
O9ⁱⁱⁱ—Cs2—Lu1ⁱⁱⁱ	76.58 (8)	Cs3^ix—O4—Cs1^xv	65.89 (5)
O6—Cs2—Lu1ⁱⁱⁱ	73.00 (7)	Cs1^x—O4—Cs1^xv	110.48 (8)
O8—Cs2—Lu1ⁱⁱⁱ	59.44 (7)	Si2^x—O4—Cs2^xi	87.39 (16)
O5ⁱⁱⁱ—Cs2—Lu1ⁱⁱⁱ	30.21 (7)	Lu1—O4—Cs2^xi	130.98 (14)
O7—Cs2—Lu1ⁱⁱⁱ	74.19 (7)	Cs1^ix—O4—Cs2^xi	51.96 (6)
Si3—Cs2—Lu1ⁱⁱⁱ	52.40 (2)	Cs3—O4—Cs2^xi	45.55 (5)
Si2—Cs2—Lu1ⁱⁱⁱ	52.72 (2)	Cs2^x—O4—Cs2^xi	104.14 (9)
Si1ⁱⁱⁱ—Cs2—Lu1ⁱⁱⁱ	52.58 (2)	Cs2^ix—O4—Cs2^xi	107.65 (8)
O3^vii—Cs2—Lu1ⁱⁱⁱ	30.64 (6)	Cs3^ix—O4—Cs2^xi	152.42 (9)
Cs1—Cs2—Lu1ⁱⁱⁱ	93.689 (13)	Cs1^x—O4—Cs2^xi	61.98 (5)
O1—Cs2—Lu1ⁱⁱⁱ	152.28 (6)	Cs1^xv—O4—Cs2^xi	113.36 (7)
Cs3^viii—Cs2—Lu1ⁱⁱⁱ	80.477 (11)	Si1—O5—Lu1	137.8 (3)
Cs3—Cs2—Lu1ⁱⁱⁱ	115.287 (12)	Si1—O5—Cs3	122.8 (2)
Si2^v—Cs2—Lu1ⁱⁱⁱ	146.38 (3)	Lu1—O5—Cs3	88.15 (13)
O4ⁱⁱⁱ—Cs2—Lu1ⁱⁱⁱ	30.99 (6)	Si1—O5—Cs2^x	96.62 (19)
O4ⁱ—Cs2—Lu1ⁱⁱⁱ	135.44 (6)	Lu1—O5—Cs2^x	104.55 (16)
Cs1^xiv—Cs2—Lu1ⁱⁱⁱ	139.705 (14)	Cs3—O5—Cs2^x	102.11 (13)
Lu1ⁱⁱ—Cs2—Lu1ⁱⁱⁱ	105.654 (11)	Si1—O5—Cs1^x	85.58 (16)
O8^v—Cs2—Lu1ⁱⁱⁱ	169.19 (5)	Lu1—O5—Cs1^x	136.62 (16)
O9^iv—Cs2—Lu1ⁱⁱⁱ	111.71 (6)	Cs3—O5—Cs1^x	59.09 (7)
Si1^iv—Cs2—Lu1ⁱⁱⁱ	90.34 (2)	Cs2^x—O5—Cs1^x	61.39 (7)
O2ⁱⁱ—Cs2—Si1	127.90 (9)	Si1—O5—Cs3^vii	59.13 (14)
O9ⁱⁱⁱ—Cs2—Si1	118.19 (8)	Lu1—O5—Cs3^vii	101.90 (14)
O6—Cs2—Si1	102.32 (9)	Cs3—O5—Cs3^vii	160.28 (14)
O8—Cs2—Si1	58.07 (7)	Cs2^x—O5—Cs3^vii	59.13 (7)
O5ⁱⁱⁱ—Cs2—Si1	116.48 (8)	Cs1^x—O5—Cs3^vii	103.28 (9)
O7—Cs2—Si1	17.58 (8)	Si1—O5—Cs2	77.40 (17)
Si3—Cs2—Si1	43.03 (3)	Lu1—O5—Cs2	101.36 (14)
Si2—Cs2—Si1	85.06 (3)	Cs3—O5—Cs2	57.86 (7)
Si1ⁱⁱⁱ—Cs2—Si1	120.19 (3)	Cs2^x—O5—Cs2	146.59 (12)
O3^vii—Cs2—Si1	61.12 (7)	Cs1^x—O5—Cs2	85.27 (8)
Cs1—Cs2—Si1	170.18 (2)	Cs3^vii—O5—Cs2	134.35 (10)
O1—Cs2—Si1	62.13 (6)	Si1—O5—Cs1^xiv	91.53 (18)
Cs3^viii—Cs2—Si1	68.87 (2)	Lu1—O5—Cs1^xiv	57.94 (10)
Cs3—Cs2—Si1	59.79 (2)	Cs3—O5—Cs1^xiv	89.39 (10)
Si2^v—Cs2—Si1	121.47 (3)	Cs2^x—O5—Cs1^xiv	159.11 (13)
O4ⁱⁱⁱ—Cs2—Si1	95.74 (6)	Cs1^x—O5—Cs1^xiv	138.73 (11)
O4ⁱ—Cs2—Si1	128.22 (6)	Cs3^vii—O5—Cs1^xiv	110.33 (9)
Cs1^xiv—Cs2—Si1	71.51 (2)	Cs2—O5—Cs1^xiv	54.11 (5)
Lu1ⁱⁱ—Cs2—Si1	126.07 (2)	Si1—O5—Cs1^xii	92.82 (17)
O8^v—Cs2—Si1	98.40 (6)	Lu1—O5—Cs1^xii	57.75 (9)
O9^iv—Cs2—Si1	102.45 (6)	Cs3—O5—Cs1^xii	143.79 (12)
Si1^iv—Cs2—Si1	107.75 (3)	Cs2^x—O5—Cs1^xii	77.86 (9)
Lu1ⁱⁱⁱ—Cs2—Si1	91.76 (2)	Cs1^x—O5—Cs1^xii	138.65 (11)
O2ⁱⁱ—Cs2—Si3^v	60.35 (8)	Cs3^vii—O5—Cs1^xii	44.34 (4)
O9ⁱⁱⁱ—Cs2—Si3^v	116.15 (8)	Cs2—O5—Cs1^xii	134.69 (10)
O6—Cs2—Si3^v	96.95 (8)	Cs1^xiv—O5—Cs1^xii	82.57 (6)
O8—Cs2—Si3^v	108.11 (7)	Si2—O6—Si1^iv	135.8 (2)
O5ⁱⁱⁱ—Cs2—Si3^v	159.88 (8)	Si2—O6—Cs2	94.35 (17)
O7—Cs2—Si3^v	99.75 (8)	Si1^iv—O6—Cs2	125.96 (19)
Si3—Cs2—Si3^v	118.10 (3)	Si2—O6—Cs3	97.1 (2)
Si2—Cs2—Si3^v	115.15 (3)	Si1^iv—O6—Cs3	83.32 (18)
Si1ⁱⁱⁱ—Cs2—Si3^v	139.86 (3)	Cs2—O6—Cs3	69.46 (10)
O3^vii—Cs2—Si3^v	142.10 (7)	Si2—O6—Cs3ⁱⁱⁱ	86.44 (18)
Cs1—Cs2—Si3^v	90.37 (2)	Si1^iv—O6—Cs3ⁱⁱⁱ	110.2 (2)
O1—Cs2—Si3^v	20.57 (6)	Cs2—O6—Cs3ⁱⁱⁱ	87.13 (9)
Cs3^viii—Cs2—Si3^v	107.82 (2)	Cs3—O6—Cs3ⁱⁱⁱ	156.51 (11)
Cs3—Cs2—Si3^v	52.07 (2)	Si2—O6—Cs1	132.60 (19)
Si2^v—Cs2—Si3^v	42.05 (3)	Si1^iv—O6—Cs1	86.99 (16)
O4ⁱⁱⁱ—Cs2—Si3^v	137.98 (6)	Cs2—O6—Cs1	61.75 (6)
O4ⁱ—Cs2—Si3^v	46.50 (6)	Cs3—O6—Cs1	109.44 (10)
Cs1^xiv—Cs2—Si3^v	48.76 (2)	Cs3ⁱⁱⁱ—O6—Cs1	54.45 (6)
Lu1ⁱⁱ—Cs2—Si3^v	86.82 (2)	Si2—O6—Cs1^xiii	49.41 (14)
O8^v—Cs2—Si3^v	21.86 (6)	Si1^iv—O6—Cs1^xiii	104.59 (18)
O9^iv—Cs2—Si3^v	58.92 (6)	Cs2—O6—Cs1^xiii	126.75 (11)
Si1^iv—Cs2—Si3^v	80.59 (3)	Cs3—O6—Cs1^xiii	139.09 (11)
Lu1ⁱⁱⁱ—Cs2—Si3^v	167.27 (2)	Cs3ⁱⁱⁱ—O6—Cs1^xiii	57.90 (7)
Si1—Cs2—Si3^v	82.63 (3)	Cs1—O6—Cs1^xiii	111.00 (11)
O1—Cs3—O9^iv	100.78 (11)	Si2—O6—Cs1^x	51.55 (15)
O1—Cs3—O5	63.24 (11)	Si1^iv—O6—Cs1^x	104.07 (18)
O9^iv—Cs3—O5	154.42 (12)	Cs2—O6—Cs1^x	92.17 (11)
O1—Cs3—O4	63.56 (11)	Cs3—O6—Cs1^x	49.00 (6)
O9^iv—Cs3—O4	131.81 (11)	Cs3ⁱⁱⁱ—O6—Cs1^x	137.84 (9)
O5—Cs3—O4	61.42 (11)	Cs1—O6—Cs1^x	152.70 (12)
O1—Cs3—O3^ix	50.44 (10)	Cs1^xiii—O6—Cs1^x	90.58 (7)
O9^iv—Cs3—O3^ix	58.46 (11)	Si2—O6—Cs2^iv	103.2 (2)
O5—Cs3—O3^ix	112.92 (10)	Si1^iv—O6—Cs2^iv	64.81 (17)
O4—Cs3—O3^ix	80.24 (11)	Cs2—O6—Cs2^iv	132.16 (13)
O1—Cs3—O8	111.75 (11)	Cs3—O6—Cs2^iv	147.93 (10)
O9^iv—Cs3—O8	89.80 (10)	Cs3ⁱⁱⁱ—O6—Cs2^iv	50.83 (6)
O5—Cs3—O8	79.16 (10)	Cs1—O6—Cs2^iv	73.98 (8)
O4—Cs3—O8	138.25 (10)	Cs1^xiii—O6—Cs2^iv	53.83 (6)
O3^ix—Cs3—O8	131.18 (10)	Cs1^x—O6—Cs2^iv	133.32 (8)
O1—Cs3—O6	111.83 (10)	Si2—O6—Cs2^xi	113.05 (18)
O9^iv—Cs3—O6	46.36 (10)	Si1^iv—O6—Cs2^xi	37.54 (14)
O5—Cs3—O6	118.27 (10)	Cs2—O6—Cs2^xi	115.84 (12)
O4—Cs3—O6	175.22 (10)	Cs3—O6—Cs2^xi	51.19 (5)
O3^ix—Cs3—O6	95.85 (9)	Cs3ⁱⁱⁱ—O6—Cs2^xi	147.15 (11)
O8—Cs3—O6	43.48 (9)	Cs1—O6—Cs2^xi	114.21 (8)
O1—Cs3—Cs1^x	137.68 (8)	Cs1^xiii—O6—Cs2^xi	114.35 (8)
O9^iv—Cs3—Cs1^x	116.05 (8)	Cs1^x—O6—Cs2^xi	68.09 (6)
O5—Cs3—Cs1^x	74.79 (8)	Cs2^iv—O6—Cs2^xi	97.58 (7)
O4—Cs3—Cs1^x	101.55 (8)	Si2—O6—Cs3^iv	105.48 (16)
O3^ix—Cs3—Cs1^x	171.62 (7)	Si1^iv—O6—Cs3^iv	35.56 (12)
O8—Cs3—Cs1^x	51.87 (7)	Cs2—O6—Cs3^iv	160.16 (11)
O6—Cs3—Cs1^x	82.71 (6)	Cs3—O6—Cs3^iv	106.91 (8)
O1—Cs3—Si3^v	24.90 (8)	Cs3ⁱⁱⁱ—O6—Cs3^iv	94.37 (9)
O9^iv—Cs3—Si3^v	78.98 (8)	Cs1—O6—Cs3^iv	103.37 (9)
O5—Cs3—Si3^v	87.92 (8)	Cs1^xiii—O6—Cs3^iv	69.30 (6)
O4—Cs3—Si3^v	71.10 (9)	Cs1^x—O6—Cs3^iv	99.77 (7)
O3^ix—Cs3—Si3^v	25.59 (7)	Cs2^iv—O6—Cs3^iv	43.78 (4)
O8—Cs3—Si3^v	123.47 (7)	Cs2^xi—O6—Cs3^iv	55.96 (4)
O6—Cs3—Si3^v	104.20 (7)	Si2—O6—Cs2^xiii	17.22 (10)
Cs1^x—Cs3—Si3^v	162.58 (3)	Si1^iv—O6—Cs2^xiii	118.63 (16)
O1—Cs3—Lu1	37.14 (8)	Cs2—O6—Cs2^xiii	110.49 (10)
O9^iv—Cs3—Lu1	136.42 (8)	Cs3—O6—Cs2^xiii	96.83 (9)
O5—Cs3—Lu1	36.96 (7)	Cs3ⁱⁱⁱ—O6—Cs2^xiii	93.24 (8)
O4—Cs3—Lu1	36.76 (7)	Cs1—O6—Cs2^xiii	145.60 (10)
O3^ix—Cs3—Lu1	79.34 (7)	Cs1^xiii—O6—Cs2^xiii	43.78 (3)
O8—Cs3—Lu1	113.09 (7)	Cs1^x—O6—Cs2^xiii	47.91 (4)
O6—Cs3—Lu1	140.02 (6)	Cs2^iv—O6—Cs2^xiii	95.49 (7)
Cs1^x—Cs3—Lu1	107.062 (14)	Cs2^xi—O6—Cs2^xiii	99.44 (7)
Si3^v—Cs3—Lu1	57.44 (2)	Cs3^iv—O6—Cs2^xiii	89.20 (6)
O1—Cs3—Si1^iv	116.51 (8)	Si3—O7—Si1	133.0 (3)
O9^iv—Cs3—Si1^iv	23.97 (8)	Si3—O7—Cs2	90.35 (17)
O5—Cs3—Si1^iv	144.07 (9)	Si1—O7—Cs2	126.6 (2)
O4—Cs3—Si1^iv	153.85 (8)	Si3—O7—Cs1^vii	79.85 (16)
O3^ix—Cs3—Si1^iv	81.49 (7)	Si1—O7—Cs1^vii	109.26 (19)
O8—Cs3—Si1^iv	67.60 (7)	Cs2—O7—Cs1^vii	107.70 (11)
O6—Cs3—Si1^iv	25.86 (6)	Si3—O7—Cs3^viii	116.20 (18)
Cs1^x—Cs3—Si1^iv	94.03 (2)	Si1—O7—Cs3^viii	106.73 (17)
Si3^v—Cs3—Si1^iv	98.92 (3)	Cs2—O7—Cs3^viii	64.09 (7)
Lu1—Cs3—Si1^iv	153.38 (3)	Cs1^vii—O7—Cs3^viii	58.27 (6)
O1—Cs3—Cs2^xi	127.70 (8)	Si3—O7—Cs3	92.68 (16)
O9^iv—Cs3—Cs2^xi	52.01 (9)	Si1—O7—Cs3	82.41 (16)
O5—Cs3—Cs2^xi	153.55 (9)	Cs2—O7—Cs3	63.04 (7)
O4—Cs3—Cs2^xi	99.79 (7)	Cs1^vii—O7—Cs3	168.32 (12)
O3^ix—Cs3—Cs2^xi	78.98 (7)	Cs3^viii—O7—Cs3	118.79 (10)
O8—Cs3—Cs2^xi	111.58 (7)	Si3—O7—Cs1^x	58.58 (13)
O6—Cs3—Cs2^xi	82.05 (6)	Si1—O7—Cs1^x	82.85 (15)
Cs1^x—Cs3—Cs2^xi	92.647 (13)	Cs2—O7—Cs1^x	103.29 (10)
Si3^v—Cs3—Cs2^xi	104.05 (3)	Cs1^vii—O7—Cs1^x	127.58 (11)
Lu1—Cs3—Cs2^xi	134.225 (14)	Cs3^viii—O7—Cs1^x	167.06 (12)
Si1^iv—Cs3—Cs2^xi	58.23 (2)	Cs3—O7—Cs1^x	52.75 (5)
O1—Cs3—Cs2	67.00 (8)	Si3—O7—Cs2^vii	121.83 (18)
O9^iv—Cs3—Cs2	75.21 (9)	Si1—O7—Cs2^vii	60.47 (14)
O5—Cs3—Cs2	79.94 (9)	Cs2—O7—Cs2^vii	128.36 (10)
O4—Cs3—Cs2	126.81 (8)	Cs1^vii—O7—Cs2^vii	50.48 (5)
O3^ix—Cs3—Cs2	83.30 (8)	Cs3^viii—O7—Cs2^vii	65.49 (6)
O8—Cs3—Cs2	51.14 (7)	Cs3—O7—Cs2^vii	140.49 (10)
O6—Cs3—Cs2	49.52 (6)	Cs1^x—O7—Cs2^vii	127.45 (9)
Cs1^x—Cs3—Cs2	101.762 (14)	Si3—O7—Cs3^xiii	33.75 (12)
Si3^v—Cs3—Cs2	72.51 (2)	Si1—O7—Cs3^xiii	116.53 (18)
Lu1—Cs3—Cs2	90.584 (12)	Cs2—O7—Cs3^xiii	116.31 (10)
Si1^iv—Cs3—Cs2	68.89 (2)	Cs1^vii—O7—Cs3^xiii	53.19 (6)
Cs2^xi—Cs3—Cs2	125.955 (16)	Cs3^viii—O7—Cs3^xiii	106.82 (9)
O1—Cs3—O6^x	106.20 (10)	Cs3—O7—Cs3^xiii	122.78 (9)
O9^iv—Cs3—O6^x	129.89 (11)	Cs1^x—O7—Cs3^xiii	75.41 (6)
O5—Cs3—O6^x	75.42 (11)	Cs2^vii—O7—Cs3^xiii	88.17 (7)
O4—Cs3—O6^x	43.01 (10)	Si3—O7—Cs2^x	101.95 (16)
O3^ix—Cs3—O6^x	111.89 (9)	Si1—O7—Cs2^x	34.70 (11)
O8—Cs3—O6^x	116.91 (9)	Cs2—O7—Cs2^x	126.23 (11)
O6—Cs3—O6^x	141.73 (6)	Cs1^vii—O7—Cs2^x	125.89 (10)
Cs1^x—Cs3—O6^x	65.96 (6)	Cs3^viii—O7—Cs2^x	141.00 (10)
Si3^v—Cs3—O6^x	112.22 (6)	Cs3—O7—Cs2^x	64.24 (6)
Lu1—Cs3—O6^x	73.34 (6)	Cs1^x—O7—Cs2^x	48.17 (4)
Si1^iv—Cs3—O6^x	131.56 (7)	Cs2^vii—O7—Cs2^x	88.32 (7)
Cs2^xi—Cs3—O6^x	78.22 (6)	Cs3^xiii—O7—Cs2^x	100.28 (7)
Cs2—Cs3—O6^x	154.60 (6)	Si3—O7—Cs1^xiv	145.31 (19)
O1—Cs3—O7^xi	142.13 (10)	Si1—O7—Cs1^xiv	78.16 (15)
O9^iv—Cs3—O7^xi	98.13 (10)	Cs2—O7—Cs1^xiv	55.03 (6)
O5—Cs3—O7^xi	106.53 (10)	Cs1^vii—O7—Cs1^xiv	106.55 (9)
O4—Cs3—O7^xi	79.38 (10)	Cs3^viii—O7—Cs1^xiv	50.44 (4)
O3^ix—Cs3—O7^xi	118.35 (10)	Cs3—O7—Cs1^xiv	74.63 (6)
O8—Cs3—O7^xi	100.78 (9)	Cs1^x—O7—Cs1^xiv	125.86 (9)
O6—Cs3—O7^xi	105.00 (8)	Cs2^vii—O7—Cs1^xiv	84.31 (6)
Cs1^x—Cs3—O7^xi	54.57 (6)	Cs3^xiii—O7—Cs1^xiv	157.05 (9)
Si3^v—Cs3—O7^xi	135.48 (6)	Cs2^x—O7—Cs1^xiv	101.13 (7)
Lu1—Cs3—O7^xi	112.19 (6)	Si3—O7—Cs3^vii	122.73 (17)
Si1^iv—Cs3—O7^xi	93.14 (6)	Si1—O7—Cs3^vii	21.86 (12)
Cs2^xi—Cs3—O7^xi	48.82 (6)	Cs2—O7—Cs3^vii	145.54 (11)
Cs2—Cs3—O7^xi	150.34 (6)	Cs1^vii—O7—Cs3^vii	89.11 (8)
O6^x—Cs3—O7^xi	38.86 (8)	Cs3^viii—O7—Cs3^vii	103.78 (8)
O1—Cs3—Cs1^ix	69.56 (8)	Cs3—O7—Cs3^vii	102.51 (8)
O9^iv—Cs3—Cs1^ix	84.40 (8)	Cs1^x—O7—Cs3^vii	88.34 (7)
O5—Cs3—Cs1^ix	106.18 (8)	Cs2^vii—O7—Cs3^vii	44.34 (4)
O4—Cs3—Cs1^ix	47.54 (8)	Cs3^xiii—O7—Cs3^vii	97.92 (7)
O3^ix—Cs3—Cs1^ix	44.94 (8)	Cs2^x—O7—Cs3^vii	44.05 (3)
O8—Cs3—Cs1^ix	174.19 (7)	Cs1^xiv—O7—Cs3^vii	91.78 (6)
O6—Cs3—Cs1^ix	130.72 (6)	Si2—O8—Si3	132.9 (2)
Cs1^x—Cs3—Cs1^ix	131.185 (15)	Si2—O8—Cs1^x	110.77 (19)
Si3^v—Cs3—Cs1^ix	55.41 (2)	Si3—O8—Cs1^x	93.66 (16)
Lu1—Cs3—Cs1^ix	71.536 (10)	Si2—O8—Cs2	93.67 (16)
Si1^iv—Cs3—Cs1^ix	106.66 (3)	Si3—O8—Cs2	92.90 (17)
Cs2^xi—Cs3—Cs1^ix	64.613 (12)	Cs1^x—O8—Cs2	138.75 (13)
Cs2—Cs3—Cs1^ix	126.802 (14)	Si2—O8—Cs3	106.38 (17)
O6^x—Cs3—Cs1^ix	67.30 (6)	Si3—O8—Cs3	120.04 (18)
O7^xi—Cs3—Cs1^ix	80.07 (6)	Cs1^x—O8—Cs3	68.85 (8)
O1—Cs3—O7	79.30 (10)	Cs2—O8—Cs3	72.67 (8)
O9^iv—Cs3—O7	118.83 (10)	Si2—O8—Cs2^xiii	67.39 (13)
O5—Cs3—O7	41.93 (10)	Si3—O8—Cs2^xiii	87.19 (15)
O4—Cs3—O7	103.31 (9)	Cs1^x—O8—Cs2^xiii	68.13 (7)
O3^ix—Cs3—O7	122.38 (9)	Cs2—O8—Cs2^xiii	152.92 (12)
O8—Cs3—O7	39.81 (9)	Cs3—O8—Cs2^xiii	129.88 (11)
O6—Cs3—O7	76.39 (8)	Si2—O8—Cs3^xiii	101.07 (15)
Cs1^x—Cs3—O7	65.40 (6)	Si3—O8—Cs3^xiii	38.67 (11)
Si3^v—Cs3—O7	100.27 (6)	Cs1^x—O8—Cs3^xiii	87.23 (8)
Lu1—Cs3—O7	73.32 (6)	Cs2—O8—Cs3^xiii	121.08 (10)
Si1^iv—Cs3—O7	102.24 (6)	Cs3—O8—Cs3^xiii	148.47 (11)
Cs2^xi—Cs3—O7	150.75 (6)	Cs2^xiii—O8—Cs3^xiii	49.74 (4)
Cs2—Cs3—O7	48.17 (6)	Si2—O8—Cs1^xiii	22.24 (10)
O6^x—Cs3—O7	107.28 (8)	Si3—O8—Cs1^xiii	114.30 (16)
O7^xi—Cs3—O7	118.79 (10)	Cs1^x—O8—Cs1^xiii	104.99 (10)
Cs1^ix—Cs3—O7	144.45 (6)	Cs2—O8—Cs1^xiii	109.11 (9)
O1—Cs3—Si2^x	83.37 (8)	Cs3—O8—Cs1^xiii	125.51 (10)
O9^iv—Cs3—Si2^x	131.40 (9)	Cs2^xiii—O8—Cs1^xiii	47.69 (4)
O5—Cs3—Si2^x	69.40 (9)	Cs3^xiii—O8—Cs1^xiii	79.36 (6)
O4—Cs3—Si2^x	19.82 (8)	Si2—O8—Cs1^vii	124.34 (17)
O3^ix—Cs3—Si2^x	92.60 (8)	Si3—O8—Cs1^vii	17.66 (11)
O8—Cs3—Si2^x	133.96 (7)	Cs1^x—O8—Cs1^vii	111.01 (10)
O6—Cs3—Si2^x	164.69 (6)	Cs2—O8—Cs1^vii	77.66 (8)
Cs1^x—Cs3—Si2^x	87.07 (2)	Cs3—O8—Cs1^vii	122.06 (10)
Si3^v—Cs3—Si2^x	88.85 (3)	Cs2^xiii—O8—Cs1^vii	96.71 (7)
Lu1—Cs3—Si2^x	54.30 (2)	Cs3^xiii—O8—Cs1^vii	47.13 (4)
Si1^iv—Cs3—Si2^x	145.32 (3)	Cs1^xiii—O8—Cs1^vii	110.80 (7)
Cs2^xi—Cs3—Si2^x	87.09 (2)	Si2—O8—Cs3ⁱⁱⁱ	36.07 (12)
Cs2—Cs3—Si2^x	144.67 (2)	Si3—O8—Cs3ⁱⁱⁱ	111.34 (16)
O6^x—Cs3—Si2^x	23.68 (6)	Cs1^x—O8—Cs3ⁱⁱⁱ	146.83 (11)
O7^xi—Cs3—Si2^x	59.69 (6)	Cs2—O8—Cs3ⁱⁱⁱ	63.85 (6)
Cs1^ix—Cs3—Si2^x	51.38 (2)	Cs3—O8—Cs3ⁱⁱⁱ	112.60 (9)
O7—Cs3—Si2^x	109.57 (6)	Cs2^xiii—O8—Cs3ⁱⁱⁱ	90.91 (7)
O1—Cs3—Si2	121.10 (8)	Cs3^xiii—O8—Cs3ⁱⁱⁱ	98.70 (6)
O9^iv—Cs3—Si2	68.31 (8)	Cs1^xiii—O8—Cs3ⁱⁱⁱ	45.48 (3)
O5—Cs3—Si2	101.67 (8)	Cs1^vii—O8—Cs3ⁱⁱⁱ	96.27 (6)
O4—Cs3—Si2	159.68 (8)	Si1—O9—Lu1^xiii	137.7 (2)
O3^ix—Cs3—Si2	118.59 (8)	Si1—O9—Cs3^vii	107.17 (19)
O8—Cs3—Si2	22.61 (7)	Lu1^xiii—O9—Cs3^vii	111.71 (15)
O6—Cs3—Si2	23.29 (6)	Si1—O9—Cs2^x	99.43 (19)
Cs1^x—Cs3—Si2	61.02 (2)	Lu1^xiii—O9—Cs2^x	103.89 (15)
Si3^v—Cs3—Si2	122.23 (3)	Cs3^vii—O9—Cs2^x	78.56 (10)
Lu1—Cs3—Si2	133.90 (2)	Si1—O9—Cs1^x	87.21 (16)
Si1^iv—Cs3—Si2	45.30 (3)	Lu1^xiii—O9—Cs1^x	73.42 (11)
Cs2^xi—Cs3—Si2	91.84 (2)	Cs3^vii—O9—Cs1^x	140.36 (14)
Cs2—Cs3—Si2	54.15 (2)	Cs2^x—O9—Cs1^x	62.49 (8)
O6^x—Cs3—Si2	125.41 (6)	Si1—O9—Cs2^vii	82.40 (17)
O7^xi—Cs3—Si2	96.34 (6)	Lu1^xiii—O9—Cs2^vii	101.61 (14)
Cs1^ix—Cs3—Si2	151.80 (2)	Cs3^vii—O9—Cs2^vii	61.77 (8)
O7—Cs3—Si2	61.14 (6)	Cs2^x—O9—Cs2^vii	138.56 (12)
Si2^x—Cs3—Si2	148.01 (2)	Cs1^x—O9—Cs2^vii	157.83 (11)
O1—Cs3—Si1	72.06 (8)	Si1—O9—Cs1^vii	73.68 (16)
O9^iv—Cs3—Si1	141.23 (9)	Lu1^xiii—O9—Cs1^vii	76.55 (11)
O5—Cs3—Si1	18.98 (8)	Cs3^vii—O9—Cs1^vii	112.61 (12)
O4—Cs3—Si1	80.28 (8)	Cs2^x—O9—Cs1^vii	168.03 (12)
O3^ix—Cs3—Si1	122.08 (7)	Cs1^x—O9—Cs1^vii	106.83 (9)
O8—Cs3—Si1	60.36 (7)	Cs2^vii—O9—Cs1^vii	51.41 (5)
O6—Cs3—Si1	99.67 (6)	Si1—O9—Cs1^xvi	154.9 (2)
Cs1^x—Cs3—Si1	66.26 (2)	Lu1^xiii—O9—Cs1^xvi	66.01 (10)
Si3^v—Cs3—Si1	96.60 (3)	Cs3^vii—O9—Cs1^xvi	56.91 (6)
Lu1—Cs3—Si1	54.03 (2)	Cs2^x—O9—Cs1^xvi	60.38 (7)
Si1^iv—Cs3—Si1	125.54 (3)	Cs1^x—O9—Cs1^xvi	94.98 (8)
Cs2^xi—Cs3—Si1	158.23 (2)	Cs2^vii—O9—Cs1^xvi	102.73 (8)
Cs2—Cs3—Si1	66.87 (2)	Cs1^vii—O9—Cs1^xvi	128.74 (9)
O6^x—Cs3—Si1	87.73 (6)	Si1—O9—Cs3	45.19 (13)
O7^xi—Cs3—Si1	110.63 (6)	Lu1^xiii—O9—Cs3	115.62 (13)
Cs1^ix—Cs3—Si1	124.85 (2)	Cs3^vii—O9—Cs3	126.33 (12)
O7—Cs3—Si1	23.37 (6)	Cs2^x—O9—Cs3	67.01 (7)
Si2^x—Cs3—Si1	86.50 (3)	Cs1^x—O9—Cs3	44.85 (4)
Si2—Cs3—Si1	82.77 (3)	Cs2^vii—O9—Cs3	127.56 (9)
O1—Cs3—Lu1ⁱ	75.95 (8)	Cs1^vii—O9—Cs3	101.81 (7)
O9^iv—Cs3—Lu1ⁱ	28.40 (8)	Cs1^xvi—O9—Cs3	125.13 (9)
O5—Cs3—Lu1ⁱ	138.58 (8)	Si1—O9—Cs3^xiii	103.09 (17)
O4—Cs3—Lu1ⁱ	107.15 (8)	Lu1^xiii—O9—Cs3^xiii	35.53 (7)
O3^ix—Cs3—Lu1ⁱ	30.07 (7)	Cs3^vii—O9—Cs3^xiii	135.25 (12)
O8—Cs3—Lu1ⁱ	111.64 (7)	Cs2^x—O9—Cs3^xiii	127.78 (11)
O6—Cs3—Lu1ⁱ	69.75 (6)	Cs1^x—O9—Cs3^xiii	72.23 (6)
Cs1^x—Cs3—Lu1ⁱ	144.048 (14)	Cs2^vii—O9—Cs3^xiii	91.08 (8)
Si3^v—Cs3—Lu1ⁱ	52.12 (2)	Cs1^vii—O9—Cs3^xiii	47.25 (4)
Lu1—Cs3—Lu1ⁱ	108.890 (9)	Cs1^xvi—O9—Cs3^xiii	101.38 (7)
Si1^iv—Cs3—Lu1ⁱ	51.75 (2)	Cs3—O9—Cs3^xiii	98.38 (7)
Cs2^xi—Cs3—Lu1ⁱ	61.779 (9)

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

Acknowledgements

The authors thank Eiko Kobayashi and Yuko Suzuki for their assistance with the sample preparation.

Funding information

This work was supported in part by Mitsubishi Chemical Corporation (a joint research project of Tohoku University and Mitsubishi Chemical Corporation, J190002825).

References

Amour, H. d', Denner, W. & Schulz, H. (1979). Acta Cryst. B35, 550–555. CrossRef ICSD IUCr Journals Web of Science Google Scholar
Ananias, D., Carlos, L. D. & Rocha, J. (2006). Opt. Mater. 28, 582–586. Web of Science CrossRef CAS Google Scholar
Ananias, D., Rainho, J. P., Ferreira, A., Lopes, M., Morais, C. M., Rocha, J. & Carlos, L. D. (2002). Chem. Mater. 14, 1767–1772. Web of Science CrossRef ICSD CAS Google Scholar
Arlt, T. & Angel, R. J. (2000). Phys. Chem. Miner. 27, 719–731. Web of Science CrossRef ICSD CAS Google Scholar
Banks, E. & Kim, C. H. (1985). J. Electrochem. Soc. 132, 2617–2621. CrossRef CAS Web of Science Google Scholar
Bruker (2018). BIS, APEX3, SAINT and SADABS. Bruker AXS inc., Madison, Wisconsin, USA. Google Scholar
Dorenbos, P., van Eijk, C. W. E., Bos, A. J. J. & Melcher, C. L. (1994). J. Lumin. 60–61, 979–982. CrossRef CAS Web of Science Google Scholar
Filipenko, O. S., Ponomarev, V. I., Dimitrova, O.V. & Atovmyan, L. O. (1988). Kristallografiya, 33, 1122–1127. CAS Google Scholar
Gagné, O. C. & Hawthorne, F. C. (2015). Acta Cryst. B71, 562–578. Web of Science CrossRef IUCr Journals Google Scholar
Gelato, L. M. & Parthé, E. (1987). J. Appl. Cryst. 20, 139–143. CrossRef Web of Science IUCr Journals Google Scholar
Kahlenberg, V., Mörtl, A. & Krüger, H. (2015). Z. Kristallogr. 230, 87–95. Web of Science CrossRef ICSD CAS Google Scholar
Kim, C. H., Qiu, B. & Banks, E. (1985). J. Electrochem. Soc. 132, 1340–1345. CrossRef CAS Web of Science Google Scholar
Kostova, M. H., Ananias, D., Paz, F. A. A., Ferreira, A., Rocha, J. & Carlos, L. D. (2007). J. Phys. Chem. B, 111, 3576–3582. Web of Science CrossRef ICSD PubMed CAS Google Scholar
Liebau, F. (1985). Structural Chemistry of Silicates. Berlin: Springer-Verlag. Google Scholar
Maksimov, B. A., Kalinin, V. R., Merinov, B. V., Ilyukhin, V. V. & Belov, N. V. (1980). Dokl. Akad. Nauk SSSR, 252, 875–879. CAS Google Scholar
Melcher, C. L. & Schweitzer, J. S. (1992). IEEE Trans. Nucl. Sci. 39, 502–505. CrossRef CAS Web of Science Google Scholar
Momma, K. & Izumi, F. (2011). J. Appl. Cryst. 44, 1272–1276. Web of Science CrossRef CAS IUCr Journals Google Scholar
Morrison, G., Spagnuolo, N. R., Karakalos, S. G. & Zur Loye, H.-C. (2019). Inorg. Chem. 58, 8702–8709. Web of Science CrossRef ICSD CAS PubMed Google Scholar
Ponomarev, V. I., Filipenko, O. S. & Atovmyan, L. O. (1988). Kristallografiya, 33, 98–104. CAS Google Scholar
Redhammer, G. J. & Roth, G. (2004). Z. Krist. Cryst. Mater. 219, 585–605. Web of Science CrossRef ICSD CAS Google Scholar
Saiki, A., Ishizawa, N., Mizutani, N. & Kato, M. (1985). Yogyo Kyokaishi 93, 649–654. CrossRef ICSD CAS Google Scholar
Schäfer, M. C., Zitzer, S. & Schleid, T. (2012). Z. Kristallogr. 227, 476–482. Google Scholar
Shannon, R. D., Gier, T. E., Foris, C. M., Nelen, J. A. & Appelman, D. E. (1980). Phys. Chem. Miner. 5, 245–253. CAS Google Scholar
Sheldrick, G. M. (2015a). Acta Cryst. A71, 3–8. Web of Science CrossRef IUCr Journals Google Scholar
Sheldrick, G. M. (2015b). Acta Cryst. C71, 3–8. Web of Science CrossRef IUCr Journals Google Scholar
Simura, R. & Yamane, H. (2020a). Acta Cryst. E76, 752–755. Web of Science CrossRef ICSD IUCr Journals Google Scholar
Simura, R. & Yamane, H. (2020b). Acta Cryst. E76, 1708–1711. Web of Science CrossRef ICSD IUCr Journals Google Scholar
Spek, A. L. (2020). Acta Cryst. E76, 1–11. Web of Science CrossRef IUCr Journals Google Scholar
Többens, D. M., Kahlenberg, V. & Kaindl, R. (2005). Inorg. Chem. 44, 9554–9560. Web of Science PubMed Google Scholar
Tsai, K.-R., Harris, P. M. & Lassettre, E. N. (1956). J. Phys. Chem. 60, 338–344. CrossRef ICSD CAS Web of Science Google Scholar
Westrip, S. P. (2010). J. Appl. Cryst. 43, 920–925. Web of Science CrossRef CAS IUCr Journals Google Scholar
Wierzbicka-Wieczorek, M., Kolitsch, U., Nasdala, L. & Tillmanns, E. (2010). Miner. Mag. 74, 979–990. CAS Google Scholar
Zhang, Z., Wang, Y. & Zhang, J. (2008b). Mater. Lett. 62, 846–848. Web of Science CrossRef CAS Google Scholar
Zhang, Z., Wang, Y., Zhang, J. & Hao, Y. (2008a). Mater. Res. Bull. 43, 926–931. Web of Science CrossRef CAS Google Scholar