research communications
Orthorhombic cerium(III) carbonate hydroxide studied by synchrotron powder X-ray diffraction
aStanford Synchrotron Radiation Lightsource, SLAC National Accelerator, Laboratory, Menlo Park, California, 94025, USA, and bNational Renewable Energy Laboratory, Golden, Colorado, 80401, USA
*Correspondence e-mail: [email protected]
Cerium(III) carbonate is a precursor material for the synthesis of various Ce-containing compounds. In this work, a synchrotron powder X-ray diffraction study of commercially obtained ‘cerium(III) carbonate hydrate' indicates that multiple Ce-containing phases are present. The majority phase CeCO3OH (52.49%wt) was refined using an orthorhombic Pmcn structure model with a = 5.01019 (2) Å, b = 8.55011 (4) Å and c = 7.31940 (4) Å, which is based on a reported structure for the lanthanoid carbonate mineral ancylite. Additionally, a substantial portion of the precursor material is cubic cerium(IV) oxide (47.12%wt).
Keywords: crystal structure; synchrotron radiation; carbonate; precursor; powder diffraction; isotypism.
1. Chemical context
Cerium(III) carbonate is a precursor material in the synthesis of various materials, such as the (Ca,Ce)(Ti,Mn)O3 (Wexler et al., 2023
) and Ba4CeMn3O12 (Bell et al., 2022
) perovskites, which are of interest for solar thermochemical hydrogen (STCH) production. There are no reported crystal structures deposited in the Inorganic Crystal Structure Database (ICSD; Zagorac et al. 2019
) with the nominal Ce2(CO3)3 composition; instead, reported structures typically include H2O or hydroxide groups. For instance, a hexagonal cerium(III) carbonate hydroxide, CeCO3OH, has been reported from a mineralogical study (ICSD 238537; Michiba et al., 2013
), and an orthorhombic hydrated carbonate phase, Ce2(CO3)3.8H2O, has been synthesized (ICSD 410859; Daiguebonne et al., 2001
). A precise accounting for the hydroxide and hydrate groups in precursor compounds is necessary for the synthesis, as the calculation of correct mass ratios is dependent on accurate knowledge of the mass per formula unit.
In this work, part of a project investigating Ce-containing perovskites for STCH production, we sought to characterize precisely the different crystalline phases present in a commercially obtained ‘cerium(III) carbonate hydrate' precursor material. The synchrotron X-ray diffraction pattern collected on the ‘cerium(III) carbonate hydrate' sample is shown in Fig. 1
. We found that the experimental diffraction pattern was complex, and could not be fit solely using structures deposited in the ICSD. We also found that the sample, in fact, does not correspond to ‘cerium(III) carbonate hydrate' but is a mixture of three other phases.
| Figure 1 Synchrotron powder X-ray diffraction data, as a function of momentum transfer Q, for the studied ‘cerium(III) carbonate hydrate' sample (blue points), over which is superimposed a triphasic calculated diffraction pattern (orange) consisting of the Rietveld-refined orthorhombic Pmcn CeCO3OH phase (52.49%wt), cubic Fm |
Many of the Bragg reflections could be attributed to a cerium(IV) oxide phase with cubic symmetry in Fmm (ICSD 24887; Ma et al., 2020
). Some low-intensity reflections could be attributed to the previously reported phase CeCO3OH with hexagonal P symmetry (ICSD 238537; Michiba et al., 2013
). The remaining prominent reflections could not be fitted with any phase reported in the ICSD. An orthorhombic cerium carbonate hydroxide phase based on the LnCO3OH structural template of the mineral ancylite (ICSD 4242; Dal Negro et al., 1975
) was used as a starting point to fit these reflections with space group Pmcn. After independently solving the Pmcn structure, we found that a Pmcn cerium carbonate hydroxide structure has been reported previously, for instance by Wei et al. (2021
). However, this structure was not deposited in the ICSD and atomic positions were not reported.
2. Structural commentary
The of the newly-reported CeCO3OH phase is visualized in Fig. 2
. The Ce1 atom, the C1 atom and two of the O atoms (O1, O3) are situated at a special position with point group symmetry m (multiplicity 4, Wyckoff letter c), and the third O atom (O2) is situated at a general position (8 d).
| Figure 2 The unit cell of the orthorhombic cerium(III) carbonate hydroxide phase. Color code: Ce: yellow. CO3 triangles: brown planes with red vertices; O within hydroxide group: pink. Note that H atoms were not included in the and so are not included in the structure. |
The coordination sphere around Ce1 is shown in Fig. 3
. Each CeIII cation has five CO3 groups coordinating to it; with three of these, two O atoms are chelating the CeIII cation with two O atoms [with Ce—O bond lengths of 2.5697 (8) Å and 2.723 (2) Å], and with the other two CO3 groups only a single O is bonded to the CeIII cation [with Ce—O bond length of 2.650 (3) Å]. Additionally, each Ce3+ cation has two OH− groups bonded to it via the O atom [with Ce—O bond lengths of 2.396 (3) Å and 2.458 (3) Å]. This indicates a of 10 and an average bond length of 2.606 Å, well within the mean bond length and its standard deviation of 2.595±0.098 Å reported by Gagné (2018
) for CeO10 coordination polyhedra.
| | Figure 3 The coordination sphere of the CeIII cations in the orthorhombic CeCO3OH phase from two different angles shown in (a) and (b). Color codes are as in Fig. 2 |
Within the carbonate CO3 group, the C—O bonds are between 1.262 (7) and 1.293 (4) Å, which is typical of reported C—O bond lengths for carbonates (mean 1.284 Å with standard deviation ±0.020 Å; Gagné & Hawthorne, 2018
).
The H-atom position of the OH− group was not located and the H atom is not included in the finally modeled structure. We therefore make no comment regarding O—H bond lengths or hydrogen-bonding interactions.
3. Database survey
The reported orthorhombic CeCO3OH is a synthetic analog to the naturally occurring mineral ancylite (ICSD 4242; Dal Negro et al., 1975
), in which the cation site is typically occupied by some combination of different lanthanoids and the hydroxide group may be partially substituted by a hydrate group (Belovitskaya et al., 2002
). In the mineral form, non-rare earths such as Ca (ICSD 94065; Petersen et al., 2001
) and Pb (ICSD 125071; Wu et al., 2023
) have also been reported on the Ce site.
Amongst the isotypic lanthanoid carbonate hydroxide phases (Ln = La, Pr, Nd, Sm, Eu, Gd) with a 1:1:1 ratio of metal:carbonate:hydroxide, the reported structure in this work is fairly typical, in that it is an orthorhombic cell with four Ln cations per and has two OH groups bonded to each Ln, and 5 CO3 groups bonded to each Ln with a 3:2 ratio of CO3 groups with two and one O—Ln bonds respectively (Hämmer & Höppe, 2019
).
The reported CeCO3OH structure differs from some other metal carbonate hydroxide phases, however. For instance, it is quite different to a reported zinc carbonate hydroxide phase (hydrozincite with ideal formula Zn5(CO3)2(OH)6; Ghose, 1964
), which is monoclinic. However, hydrozincite does not have the same 1:1:1 ratio of metal:carbonate:hydroxide as the structure discussed in this article so an equivalent structure would not be expected.
Wei et al. (2021
) report diffraction peak positions consistent with JCPDS card #41-0013. The defunct JCPDS database entries are now largely contained within the International Centre for Diffraction Data Powder Diffraction Files (ICDD-PDF) database. A search of ICDD-PDF for related structures revealed two entries #00-046-0369 and #00-043-0602 for Ce2(CO3)2(OH)2·H2O (D'Assuncao et al., 1989
) and Ce2O(CO3)2·H2O (Bentzen et al., 1987
), respectively. Both entries only include unit cell parameters from indexing, where the former phase was indexed based on similarity with Nd2(CO3)2(OH)4·xH2O. While the lattice parameters reported by Bentzen et al. (1987
) are within 1% error of the values of the present study, the absence of a structure refinement and analogous lanthanoid oxy-carbonate hydrate structures leads us to believe that the structure they report is actually the hydroxide phase reported in the present work.
4. Experimental
Commercial ‘cerium(III) carbonate hydrate' (REactonTM grade 99.000%, lot: Y011E058) was purchased from Alfa Aesar. Synchrotron powder X-ray diffraction data were obtained at Stanford Synchrotron Radiation Lightsource (SSRL) beamline 2-1 (Stone et al., 2023
); wavelength was refined against a NIST 660C LaB6 standard. During the measurement, the sample was stored in a Nordson (141-0158) Kapton capillary with a 0.7112 mm outer diameter and 0.002 mm wall thickness.
5. Refinement
Structural data of the orthorhombic cerium(III) carbonate hydroxide title compound are given in Table 1
. Diffraction data were fit by the Rietveld method (Rietveld, 1969
, 2014
) using Topas (Academic version 7; Coelho, 2018
). Background was modelled using an order-13 Chebyshev polynomial; Bragg reflection peakshapes were modelled using the Thompson-Cox-Hastings pseudo-Voigt function (Thompson et al., 1987
); the approach of Stephens (1999
) was used to model anisotropic peak broadening. As a result of their negligible X-ray scattering factor, H atoms were not located and thus are not included in any structural models in the Rietveld fit. For each site, isotropic atomic displacement parameters (Uiso) were refined against the data, with Uiso for sites of the same element constrained to be equal.
|
Supporting information
contains datablocks I, CeriumIV_Oxide, CeriumIII_carbonate_hydroxide, Alfa_Aesar_CeIII_Carbonate. DOI: https://doi.org/10.1107/S2056989025003512/wm5755sup1.cif
| Ce(CO3)(OH) | Z = 4 |
| Mr = 217.14 | Dx = 4.568 Mg m−3 |
| Orthorhombic, Pmcn | Synchrotron radiation, λ = 0.729472 Å |
| a = 5.01416 (15) Å | µ = 15.48 mm−1 |
| b = 8.5569 (3) Å | T = 300 K |
| c = 7.3252 (2) Å | cylinder, 1 × 0.71 mm |
| V = 314.29 (2) Å3 |
| SSRL beam line 2-1 diffractometer | Scan method: step |
| Specimen mounting: Kapton Capillary | 2θmin = 0.01°, 2θmax = 116.605°, 2θstep = 0.005° |
| Data collection mode: transmission |
| x | y | z | Uiso*/Ueq | ||
| Ce1 | 0.25 | 0.33442 (4) | 0.64574 (6) | 0.00597 (8) | |
| C1 | 0.75 | 0.1810 (8) | 0.8028 (8) | 0.0182 (16) | |
| O1 | 0.75 | 0.3087 (4) | 0.7166 (4) | 0.0066 (5) | |
| O2 | 0.5236 (4) | 0.1167 (2) | 0.8416 (4) | 0.0066 (5) | |
| O3 | 0.25 | 0.4027 (4) | 0.9717 (5) | 0.0066 (5) |
| Ce1—O3i | 2.396 (3) | O1—C1xii | 3.033 (7) |
| Ce1—O3 | 2.458 (3) | O1—O2xii | 3.040 (4) |
| Ce1—O1 | 2.5697 (8) | O1—O2iii | 3.040 (4) |
| Ce1—O1ii | 2.5697 (8) | O2—C1 | 1.293 (4) |
| Ce1—O2iii | 2.650 (3) | O2—O1 | 2.197 (4) |
| Ce1—O2i | 2.650 (3) | O2—O2vii | 2.271 (4) |
| Ce1—O2iv | 2.670 (2) | O2—Ce1xiii | 2.650 (3) |
| Ce1—O2v | 2.670 (2) | O2—Ce1viii | 2.670 (2) |
| Ce1—O2 | 2.723 (2) | O2—Ce1 | 2.723 (2) |
| Ce1—O2vi | 2.723 (2) | O2—O2vi | 2.744 (4) |
| Ce1—C1v | 2.989 (7) | O2—O3 | 2.963 (4) |
| Ce1—C1 | 3.055 (4) | O2—O1viii | 3.001 (4) |
| Ce1—C1ii | 3.055 (4) | O2—O1ix | 3.040 (4) |
| C1—O1 | 1.262 (7) | O2—O3i | 3.041 (4) |
| C1—O2vii | 1.293 (4) | O2—O2xiv | 3.071 (5) |
| C1—O2 | 1.293 (4) | O2—O3viii | 3.148 (4) |
| C1—Ce1viii | 2.989 (7) | O3—Ce1xiii | 2.396 (3) |
| C1—O1ix | 3.033 (7) | O3—Ce1 | 2.458 (3) |
| C1—Ce1x | 3.055 (4) | O3—O2 | 2.963 (4) |
| C1—Ce1 | 3.055 (4) | O3—O2vi | 2.963 (4) |
| C1—O3viii | 3.117 (7) | O3—O3xv | 3.038 (3) |
| O1—C1 | 1.262 (7) | O3—O3xvi | 3.038 (3) |
| O1—O2vii | 2.197 (4) | O3—O2xiii | 3.041 (4) |
| O1—O2 | 2.197 (4) | O3—O2xvii | 3.041 (4) |
| O1—Ce1x | 2.5697 (8) | O3—C1v | 3.117 (7) |
| O1—Ce1 | 2.5697 (8) | O3—O2iv | 3.148 (4) |
| O1—O2v | 3.001 (4) | O3—O2v | 3.148 (4) |
| O1—O2xi | 3.001 (4) | ||
| O3—Ce1—O3i | 135.89 (9) | O2iii—O1—O2xii | 43.85 (10) |
| O1—Ce1—O3 | 79.87 (7) | O2iii—O1—C1xii | 24.59 (8) |
| O1—Ce1—O3i | 92.01 (8) | O2iii—O1—O2xi | 81.83 (10) |
| O1ii—Ce1—O1 | 154.65 (14) | O2iii—O1—O2v | 61.09 (10) |
| O1ii—Ce1—O3 | 79.87 (7) | O2iii—O1—Ce1 | 55.61 (6) |
| O1ii—Ce1—O3i | 92.01 (8) | O2iii—O1—Ce1x | 99.42 (10) |
| O2iii—Ce1—O1ii | 133.51 (9) | O2iii—O1—O2 | 109.91 (12) |
| O2iii—Ce1—O1 | 71.24 (9) | O2iii—O1—O2vii | 136.59 (17) |
| O2iii—Ce1—O3 | 141.19 (7) | O2iii—O1—C1 | 129.3 (3) |
| O2iii—Ce1—O3i | 71.73 (8) | O1—O2—C1 | 30.3 (3) |
| O2i—Ce1—O2iii | 62.36 (10) | O2vii—O2—O1 | 58.89 (7) |
| O2i—Ce1—O1ii | 71.24 (9) | O2vii—O2—C1 | 28.6 (3) |
| O2i—Ce1—O1 | 133.51 (9) | Ce1xiii—O2—O2vii | 121.18 (5) |
| O2i—Ce1—O3 | 141.19 (7) | Ce1xiii—O2—O1 | 119.97 (13) |
| O2i—Ce1—O3i | 71.73 (8) | Ce1xiii—O2—C1 | 124.9 (3) |
| O2iv—Ce1—O2i | 70.50 (9) | Ce1viii—O2—Ce1xiii | 109.50 (9) |
| O2iv—Ce1—O2iii | 96.11 (6) | Ce1viii—O2—O2vii | 64.84 (5) |
| O2iv—Ce1—O1ii | 69.85 (10) | Ce1viii—O2—O1 | 118.12 (11) |
| O2iv—Ce1—O1 | 119.02 (10) | Ce1viii—O2—C1 | 91.1 (3) |
| O2iv—Ce1—O3 | 75.60 (9) | Ce1—O2—Ce1viii | 148.39 (11) |
| O2iv—Ce1—O3i | 141.66 (8) | Ce1—O2—Ce1xiii | 94.25 (7) |
| O2v—Ce1—O2iv | 50.32 (9) | Ce1—O2—O2vii | 120.26 (5) |
| O2v—Ce1—O2i | 96.11 (6) | Ce1—O2—O1 | 61.89 (8) |
| O2v—Ce1—O2iii | 70.50 (9) | Ce1—O2—C1 | 92.0 (3) |
| O2v—Ce1—O1ii | 119.02 (10) | O2vi—O2—Ce1 | 59.74 (5) |
| O2v—Ce1—O1 | 69.85 (10) | O2vi—O2—Ce1viii | 115.16 (5) |
| O2v—Ce1—O3 | 75.60 (9) | O2vi—O2—Ce1xiii | 58.82 (5) |
| O2v—Ce1—O3i | 141.66 (8) | O2vi—O2—O2vii | 180.0000 (1) |
| O2—Ce1—O2v | 112.74 (3) | O2vi—O2—O1 | 121.11 (7) |
| O2—Ce1—O2iv | 144.58 (4) | O2vi—O2—C1 | 151.4 (3) |
| O2—Ce1—O2i | 144.30 (6) | O3—O2—O2vi | 62.42 (5) |
| O2—Ce1—O2iii | 106.88 (7) | O3—O2—Ce1 | 51.02 (7) |
| O2—Ce1—O1ii | 109.06 (9) | O3—O2—Ce1viii | 158.85 (13) |
| O2—Ce1—O1 | 48.96 (9) | O3—O2—Ce1xiii | 50.16 (7) |
| O2—Ce1—O3 | 69.56 (8) | O3—O2—O2vii | 117.58 (5) |
| O2—Ce1—O3i | 72.59 (9) | O3—O2—O1 | 75.84 (11) |
| O2vi—Ce1—O2 | 60.51 (9) | O3—O2—C1 | 97.2 (3) |
| O2vi—Ce1—O2v | 144.58 (4) | O1viii—O2—O3 | 124.00 (8) |
| O2vi—Ce1—O2iv | 112.74 (3) | O1viii—O2—O2vi | 62.80 (5) |
| O2vi—Ce1—O2i | 106.88 (7) | O1viii—O2—Ce1 | 107.20 (9) |
| O2vi—Ce1—O2iii | 144.30 (6) | O1viii—O2—Ce1viii | 53.50 (5) |
| O2vi—Ce1—O1ii | 48.96 (9) | O1viii—O2—Ce1xiii | 91.23 (8) |
| O2vi—Ce1—O1 | 109.06 (9) | O1viii—O2—O2vii | 117.20 (5) |
| O2vi—Ce1—O3 | 69.56 (8) | O1viii—O2—O1 | 146.49 (13) |
| O2vi—Ce1—O3i | 72.59 (9) | O1viii—O2—C1 | 138.1 (3) |
| C1v—Ce1—O2vi | 127.77 (10) | O1ix—O2—O1viii | 118.91 (10) |
| C1v—Ce1—O2 | 127.77 (10) | O1ix—O2—O3 | 73.06 (10) |
| C1v—Ce1—O2v | 25.63 (5) | O1ix—O2—O2vi | 111.93 (5) |
| C1v—Ce1—O2iv | 25.63 (5) | O1ix—O2—Ce1 | 121.37 (10) |
| C1v—Ce1—O2i | 87.09 (11) | O1ix—O2—Ce1viii | 89.98 (10) |
| C1v—Ce1—O2iii | 87.09 (11) | O1ix—O2—Ce1xiii | 53.15 (6) |
| C1v—Ce1—O1ii | 93.41 (9) | O1ix—O2—O2vii | 68.07 (5) |
| C1v—Ce1—O1 | 93.41 (9) | O1ix—O2—O1 | 91.51 (10) |
| C1v—Ce1—O3 | 69.01 (14) | O1ix—O2—C1 | 77.4 (3) |
| C1v—Ce1—O3i | 155.10 (14) | O3i—O2—O1ix | 169.99 (11) |
| C1—Ce1—C1v | 112.26 (11) | O3i—O2—O1viii | 67.64 (10) |
| C1—Ce1—O2vi | 85.47 (11) | O3i—O2—O3 | 97.05 (9) |
| C1—Ce1—O2 | 25.03 (11) | O3i—O2—O2vi | 63.19 (5) |
| C1—Ce1—O2v | 91.53 (12) | O3i—O2—Ce1 | 48.74 (7) |
| C1—Ce1—O2iv | 136.43 (13) | O3i—O2—Ce1viii | 100.00 (10) |
| C1—Ce1—O2i | 144.04 (12) | O3i—O2—Ce1xiii | 121.61 (8) |
| C1—Ce1—O2iii | 87.69 (11) | O3i—O2—O2vii | 116.81 (5) |
| C1—Ce1—O1ii | 133.46 (12) | O3i—O2—O1 | 84.41 (12) |
| C1—Ce1—O1 | 24.00 (13) | O3i—O2—C1 | 102.9 (3) |
| C1—Ce1—O3 | 74.71 (12) | O2xiv—O2—O3i | 127.11 (13) |
| C1—Ce1—O3i | 80.59 (13) | O2xiv—O2—O1ix | 58.82 (11) |
| C1ii—Ce1—C1 | 110.3 (2) | O2xiv—O2—O1viii | 60.09 (9) |
| C1ii—Ce1—C1v | 112.26 (11) | O2xiv—O2—O3 | 104.96 (14) |
| C1ii—Ce1—O2vi | 25.03 (11) | O2xiv—O2—O2vi | 85.58 (8) |
| C1ii—Ce1—O2 | 85.47 (11) | O2xiv—O2—Ce1 | 143.56 (12) |
| C1ii—Ce1—O2v | 136.43 (13) | O2xiv—O2—Ce1viii | 54.44 (6) |
| C1ii—Ce1—O2iv | 91.53 (12) | O2xiv—O2—Ce1xiii | 55.06 (9) |
| C1ii—Ce1—O2i | 87.69 (11) | O2xiv—O2—O2vii | 94.42 (8) |
| C1ii—Ce1—O2iii | 144.04 (12) | O2xiv—O2—O1 | 147.24 (15) |
| C1ii—Ce1—O1ii | 24.00 (13) | O2xiv—O2—C1 | 120.7 (3) |
| C1ii—Ce1—O1 | 133.46 (12) | O3viii—O2—O2xiv | 101.58 (11) |
| C1ii—Ce1—O3 | 74.71 (12) | O3viii—O2—O3i | 58.77 (8) |
| C1ii—Ce1—O3i | 80.59 (13) | O3viii—O2—O1ix | 130.26 (9) |
| O2vii—C1—O1 | 118.6 (3) | O3viii—O2—O1viii | 63.29 (8) |
| O2—C1—O2vii | 122.8 (5) | O3viii—O2—O3 | 151.88 (12) |
| O2—C1—O1 | 118.6 (3) | O3viii—O2—O2vi | 111.14 (5) |
| Ce1viii—C1—O2 | 63.3 (3) | O3viii—O2—Ce1 | 101.29 (10) |
| Ce1viii—C1—O2vii | 63.3 (3) | O3viii—O2—Ce1viii | 49.15 (7) |
| Ce1viii—C1—O1 | 157.2 (4) | O3viii—O2—Ce1xiii | 153.08 (10) |
| O1ix—C1—Ce1viii | 84.42 (18) | O3viii—O2—O2vii | 68.86 (5) |
| O1ix—C1—O2 | 78.0 (3) | O3viii—O2—O1 | 86.85 (13) |
| O1ix—C1—O2vii | 78.0 (3) | O3viii—O2—C1 | 76.8 (3) |
| O1ix—C1—O1 | 118.3 (4) | Ce1—O3—Ce1xiii | 108.40 (12) |
| Ce1x—C1—O1ix | 111.34 (14) | O2—O3—Ce1 | 59.42 (9) |
| Ce1x—C1—Ce1viii | 118.28 (13) | O2—O3—Ce1xiii | 58.12 (8) |
| Ce1x—C1—O2 | 170.4 (4) | O2vi—O3—O2 | 55.15 (10) |
| Ce1x—C1—O2vii | 62.95 (18) | O2vi—O3—Ce1 | 59.42 (9) |
| Ce1x—C1—O1 | 55.91 (11) | O2vi—O3—Ce1xiii | 58.12 (8) |
| Ce1—C1—Ce1x | 110.3 (2) | O3xv—O3—O2vi | 96.59 (9) |
| Ce1—C1—O1ix | 111.34 (14) | O3xv—O3—O2 | 151.48 (15) |
| Ce1—C1—Ce1viii | 118.28 (13) | O3xv—O3—Ce1 | 105.23 (13) |
| Ce1—C1—O2 | 62.95 (18) | O3xv—O3—Ce1xiii | 113.06 (13) |
| Ce1—C1—O2vii | 170.4 (4) | O3xvi—O3—O3xv | 111.2 (2) |
| Ce1—C1—O1 | 55.91 (11) | O3xvi—O3—O2vi | 151.48 (15) |
| O3viii—C1—Ce1 | 94.90 (14) | O3xvi—O3—O2 | 96.59 (9) |
| O3viii—C1—Ce1x | 94.90 (14) | O3xvi—O3—Ce1 | 105.23 (13) |
| O3viii—C1—O1ix | 131.8 (2) | O3xvi—O3—Ce1xiii | 113.06 (13) |
| O3viii—C1—Ce1viii | 47.42 (12) | O2xiii—O3—O3xvi | 106.29 (16) |
| O3viii—C1—O2 | 79.4 (3) | O2xiii—O3—O3xv | 62.36 (11) |
| O3viii—C1—O2vii | 79.4 (3) | O2xiii—O3—O2vi | 91.88 (9) |
| O3viii—C1—O1 | 109.8 (4) | O2xiii—O3—O2 | 116.78 (12) |
| O2vii—O1—C1 | 31.12 (8) | O2xiii—O3—Ce1 | 148.48 (9) |
| O2—O1—O2vii | 62.22 (15) | O2xiii—O3—Ce1xiii | 58.67 (8) |
| O2—O1—C1 | 31.12 (8) | O2xvii—O3—O2xiii | 53.62 (10) |
| Ce1x—O1—O2 | 130.71 (14) | O2xvii—O3—O3xvi | 62.36 (11) |
| Ce1x—O1—O2vii | 69.15 (7) | O2xvii—O3—O3xv | 106.29 (16) |
| Ce1x—O1—C1 | 100.09 (9) | O2xvii—O3—O2vi | 116.78 (12) |
| Ce1—O1—Ce1x | 154.65 (14) | O2xvii—O3—O2 | 91.88 (9) |
| Ce1—O1—O2 | 69.15 (7) | O2xvii—O3—Ce1 | 148.48 (9) |
| Ce1—O1—O2vii | 130.71 (14) | O2xvii—O3—Ce1xiii | 58.67 (8) |
| Ce1—O1—C1 | 100.09 (9) | C1v—O3—O2xvii | 128.04 (14) |
| O2v—O1—Ce1 | 56.65 (6) | C1v—O3—O2xiii | 128.04 (14) |
| O2v—O1—Ce1x | 110.01 (12) | C1v—O3—O3xvi | 70.68 (13) |
| O2v—O1—O2 | 118.67 (5) | C1v—O3—O3xv | 70.68 (13) |
| O2v—O1—O2vii | 162.19 (15) | C1v—O3—O2vi | 115.06 (15) |
| O2v—O1—C1 | 146.2 (2) | C1v—O3—O2 | 115.06 (15) |
| O2xi—O1—O2v | 54.40 (10) | C1v—O3—Ce1 | 63.57 (14) |
| O2xi—O1—Ce1 | 110.01 (12) | C1v—O3—Ce1xiii | 171.97 (18) |
| O2xi—O1—Ce1x | 56.65 (6) | O2iv—O3—C1v | 23.82 (7) |
| O2xi—O1—O2 | 162.19 (15) | O2iv—O3—O2xvii | 147.54 (12) |
| O2xi—O1—O2vii | 118.67 (5) | O2iv—O3—O2xiii | 121.23 (8) |
| O2xi—O1—C1 | 146.2 (2) | O2iv—O3—O3xvi | 94.48 (15) |
| C1xii—O1—O2xi | 80.36 (15) | O2iv—O3—O3xv | 58.86 (11) |
| C1xii—O1—O2v | 80.36 (15) | O2iv—O3—O2vi | 94.53 (8) |
| C1xii—O1—Ce1 | 78.20 (7) | O2iv—O3—O2 | 114.38 (11) |
| C1xii—O1—Ce1x | 78.20 (7) | O2iv—O3—Ce1 | 55.25 (8) |
| C1xii—O1—O2 | 115.98 (17) | O2iv—O3—Ce1xiii | 151.69 (10) |
| C1xii—O1—O2vii | 115.98 (17) | O2v—O3—O2iv | 42.28 (9) |
| C1xii—O1—C1 | 121.7 (3) | O2v—O3—C1v | 23.82 (7) |
| O2xii—O1—C1xii | 24.59 (8) | O2v—O3—O2xvii | 121.23 (8) |
| O2xii—O1—O2xi | 61.09 (10) | O2v—O3—O2xiii | 147.54 (12) |
| O2xii—O1—O2v | 81.83 (10) | O2v—O3—O3xvi | 58.86 (11) |
| O2xii—O1—Ce1 | 99.42 (10) | O2v—O3—O3xv | 94.48 (15) |
| O2xii—O1—Ce1x | 55.61 (6) | O2v—O3—O2vi | 114.38 (11) |
| O2xii—O1—O2 | 136.59 (17) | O2v—O3—O2 | 94.53 (8) |
| O2xii—O1—O2vii | 109.91 (12) | O2v—O3—Ce1 | 55.25 (8) |
| O2xii—O1—C1 | 129.3 (3) | O2v—O3—Ce1xiii | 151.69 (10) |
| Symmetry codes: (i) −x+1/2, −y+1/2, z−1/2; (ii) x−1, y, z; (iii) x, −y+1/2, z−1/2; (iv) x−1/2, y+1/2, −z+3/2; (v) −x+1, y+1/2, −z+3/2; (vi) −x+1/2, y, z; (vii) −x+3/2, y, z; (viii) −x+1, y−1/2, −z+3/2; (ix) −x+3/2, −y+1/2, z+1/2; (x) x+1, y, z; (xi) x+1/2, y+1/2, −z+3/2; (xii) −x+3/2, −y+1/2, z−1/2; (xiii) −x+1/2, −y+1/2, z+1/2; (xiv) −x+1, −y, −z+2; (xv) −x, −y+1, −z+2; (xvi) −x+1, −y+1, −z+2; (xvii) x, −y+1/2, z+1/2. |
| CeO2 | Dx = 7.151 Mg m−3 |
| Mr = 172.11 | Synchrotron radiation, λ = 0.729472 Å |
| Cubic, Fm3m | µ = 30.22 mm−1 |
| a = 5.42732 (16) Å | T = 300 K |
| V = 159.87 (1) Å3 | cylinder, 1 × 0.71 mm |
| Z = 4 |
| SSRL beam line 2-1 diffractometer | Scan method: step |
| Specimen mounting: Kapton Capillary | 2θmin = 0.01°, 2θmax = 116.61°, 2θstep = 0.005° |
| Data collection mode: transmission |
| x | y | z | Uiso*/Ueq | ||
| Ce1 | 0 | 0 | 0 | 0.00595 (6) | |
| O1 | 0.25 | 0.25 | 0.25 | 0.0115 (4) |
| Ce1—O1i | 2.3501 (1) | O1—Ce1ix | 2.3501 (1) |
| Ce1—O1ii | 2.3501 (1) | O1—Ce1x | 2.3501 (1) |
| Ce1—O1iii | 2.3501 (1) | O1—Ce1 | 2.3501 (1) |
| Ce1—O1iv | 2.3501 (1) | O1—O1xi | 2.7137 (1) |
| Ce1—O1v | 2.3501 (1) | O1—O1xii | 2.7137 (1) |
| Ce1—O1vi | 2.3501 (1) | O1—O1xiii | 2.7137 (1) |
| Ce1—O1 | 2.3501 (1) | O1—O1i | 2.7137 (1) |
| Ce1—O1vii | 2.3501 (1) | O1—O1vi | 2.7137 (1) |
| O1—Ce1viii | 2.3501 (1) | O1—O1iii | 2.7137 (1) |
| O1ii—Ce1—O1i | 70.529 | O1xi—O1—Ce1viii | 54.736 |
| O1iii—Ce1—O1ii | 180.000 | O1xii—O1—O1xi | 90.000 |
| O1iii—Ce1—O1i | 109.471 | O1xii—O1—Ce1 | 125.264 |
| O1iv—Ce1—O1iii | 70.529 | O1xii—O1—Ce1x | 125.264 |
| O1iv—Ce1—O1ii | 109.471 | O1xii—O1—Ce1ix | 54.736 |
| O1iv—Ce1—O1i | 70.529 | O1xii—O1—Ce1viii | 54.736 |
| O1v—Ce1—O1iv | 109.471 | O1xiii—O1—O1xii | 90.000 |
| O1v—Ce1—O1iii | 70.529 | O1xiii—O1—O1xi | 90.000 |
| O1v—Ce1—O1ii | 109.471 | O1xiii—O1—Ce1 | 125.264 |
| O1v—Ce1—O1i | 180.000 | O1xiii—O1—Ce1x | 54.736 |
| O1vi—Ce1—O1v | 70.529 | O1xiii—O1—Ce1ix | 54.736 |
| O1vi—Ce1—O1iv | 180.000 | O1xiii—O1—Ce1viii | 125.264 |
| O1vi—Ce1—O1iii | 109.471 | O1i—O1—O1xiii | 180.000 |
| O1vi—Ce1—O1ii | 70.529 | O1i—O1—O1xii | 90.000 |
| O1vi—Ce1—O1i | 109.471 | O1i—O1—O1xi | 90.000 |
| O1—Ce1—O1vi | 70.529 | O1i—O1—Ce1 | 54.736 |
| O1—Ce1—O1v | 109.471 | O1i—O1—Ce1x | 125.264 |
| O1—Ce1—O1iv | 109.471 | O1i—O1—Ce1ix | 125.264 |
| O1—Ce1—O1iii | 70.529 | O1i—O1—Ce1viii | 54.736 |
| O1—Ce1—O1ii | 109.471 | O1vi—O1—O1i | 90.000 |
| O1—Ce1—O1i | 70.529 | O1vi—O1—O1xiii | 90.000 |
| O1vii—Ce1—O1 | 180.000 | O1vi—O1—O1xii | 180.000 |
| O1vii—Ce1—O1vi | 109.471 | O1vi—O1—O1xi | 90.000 |
| O1vii—Ce1—O1v | 70.529 | O1vi—O1—Ce1 | 54.736 |
| O1vii—Ce1—O1iv | 70.529 | O1vi—O1—Ce1x | 54.736 |
| O1vii—Ce1—O1iii | 109.471 | O1vi—O1—Ce1ix | 125.264 |
| O1vii—Ce1—O1ii | 70.529 | O1vi—O1—Ce1viii | 125.264 |
| O1vii—Ce1—O1i | 109.471 | O1iii—O1—O1vi | 90.000 |
| Ce1ix—O1—Ce1viii | 109.471 | O1iii—O1—O1i | 90.000 |
| Ce1x—O1—Ce1ix | 109.471 | O1iii—O1—O1xiii | 90.000 |
| Ce1x—O1—Ce1viii | 109.471 | O1iii—O1—O1xii | 90.000 |
| Ce1—O1—Ce1x | 109.471 | O1iii—O1—O1xi | 180.000 |
| Ce1—O1—Ce1ix | 109.471 | O1iii—O1—Ce1 | 54.736 |
| Ce1—O1—Ce1viii | 109.471 | O1iii—O1—Ce1x | 125.264 |
| O1xi—O1—Ce1 | 125.264 | O1iii—O1—Ce1ix | 54.736 |
| O1xi—O1—Ce1x | 54.736 | O1iii—O1—Ce1viii | 125.264 |
| O1xi—O1—Ce1ix | 125.264 |
| Symmetry codes: (i) −x, z, y; (ii) −x, z, −y; (iii) z, −x, y; (iv) −x, −y, z; (v) z, −x, −y; (vi) z, y, −x; (vii) −x, −z, −y; (viii) x, y+1/2, z+1/2; (ix) x+1/2, y, z+1/2; (x) x+1/2, y+1/2, z; (xi) z, −x+1, y; (xii) z, y, −x+1; (xiii) −x+1, z, y. |
| CeCHO4 | Z = 18 |
| Mr = 217.13 | Dx = 4.925 Mg m−3 |
| Hexagonal, P6 | Synchrotron radiation, λ = 0.729472 Å |
| a = 12.5550 (12) Å | µ = 16.18 mm−1 |
| c = 9.9257 (15) Å | T = 300 K |
| V = 1355.0 (3) Å3 | cylinder, 1 × 0.71 mm |
| SSRL beam line 2-1 diffractometer | Scan method: step |
| Specimen mounting: Kapton Capillary | 2θmin = 0.01°, 2θmax = 116.605°, 2θstep = 0.005° |
| Data collection mode: transmission |
| x | y | z | Uiso*/Ueq | ||
| Ce1 | 0.10783 | 0.22796 | 0.2353 | 0.009010 | |
| Ce2 | 0.77882 | 0.56268 | 0.2542 | 0.013740 | |
| Ce3 | 0.43856 | 0.54375 | 0.25769 | 0.010700 | |
| C1 | 0.8655 | 0.5103 | 0 | 0.030000 | |
| C2 | −0.0902 | 0.1104 | 0 | 0.007000 | |
| C3 | 0.3037 | 0.4637 | 0 | 0.025000 | |
| C4 | 0.5531 | 0.4206 | 0.5 | 0.026000 | |
| C5 | 0.5356 | 0.7746 | 0.5 | 0.017000 | |
| C6 | −0.0247 | 0.1777 | 0.5 | 0.016000 | |
| O1 | 0.7601 | 0.5088 | 0 | 0.034000 | |
| O2 | 0.9117 | 0.5098 | 0.1118 | 0.017800 | |
| O3 | 0.0286 | 0.1691 | 0 | 0.016800 | |
| O4 | 0.2316 | 0.1469 | 0.1119 | 0.013900 | |
| O5 | 0.4114 | 0.5726 | 0 | 0.040000 | |
| O6 | 0.2516 | 0.4173 | 0.1117 | 0.025600 | |
| O7 | 0.8033 | 0.5032 | 0.5 | 0.030000 | |
| O8 | 0.5796 | 0.4838 | 0.3884 | 0.018600 | |
| O9 | 0.3638 | 0.5249 | 0.5 | 0.033000 | |
| O10 | 0.5671 | 0.7415 | 0.3879 | 0.021800 | |
| O11 | 0.0822 | 0.1794 | 0.5 | 0.004300 | |
| O12 | −0.0721 | 0.1799 | 0.3875 | 0.014200 | |
| O13 | 0 | 0 | 0.2723 | 0.009100 | |
| O14 | 0.6667 | 0.3333 | 0.2377 | 0.027000 | |
| O15 | 0.3333 | 0.6667 | 0.2356 | 0.023000 | |
| O16 | 0.9998 | 0.6804 | 0.3218 | 0.016800 | |
| O17 | 0.6532 | 0.6543 | 0.1778 | 0.020400 |
| Ce1—O16i | 2.4641 (2) | O5—O6iv | 3.0958 (3) |
| Ce1—O6 | 2.4745 (2) | O6—C3 | 1.2710 (1) |
| Ce1—O3 | 2.5010 (3) | O6—O6vi | 2.2174 (3) |
| Ce1—O13 | 2.5068 (2) | O6—O5 | 2.2681 (2) |
| Ce1—O17ii | 2.5193 (2) | O6—Ce1 | 2.4745 (2) |
| Ce1—O12 | 2.5271 (2) | O6—Ce3 | 2.5305 (2) |
| Ce1—O4 | 2.5558 (2) | O6—O16i | 2.7637 (3) |
| Ce1—O11 | 2.6799 (4) | O6—O17ii | 2.8847 (3) |
| Ce1—O10ii | 2.7318 (2) | O6—O10ii | 2.9468 (4) |
| Ce1—C6 | 3.0033 (4) | O6—O15iv | 3.0250 (2) |
| Ce1—O4iii | 3.0350 (2) | O6—O15ii | 3.0259 (2) |
| Ce1—C2 | 3.1851 (3) | O6—O15 | 3.0261 (2) |
| Ce2—O17 | 2.4899 (2) | O6—O5ii | 3.0958 (3) |
| Ce2—O12iv | 2.4954 (2) | O6—O2i | 3.0968 (3) |
| Ce2—O16 | 2.4963 (2) | O6—O3 | 3.1708 (3) |
| Ce2—O14i | 2.4985 (2) | O7—C4v | 1.3111 (1) |
| Ce2—O14v | 2.4996 (2) | O7—O8v | 2.2868 (2) |
| Ce2—O14 | 2.4996 (2) | O7—O8xx | 2.2868 (2) |
| Ce2—O2 | 2.5158 (2) | O7—Ce2 | 2.6142 (3) |
| Ce2—O8 | 2.5562 (2) | O7—Ce2xi | 2.6142 (3) |
| Ce2—O1 | 2.5923 (4) | O7—C4 | 2.7722 (3) |
| Ce2—O7 | 2.6142 (3) | O7—O8xi | 2.9138 (2) |
| Ce2—O4v | 2.6789 (2) | O7—O8 | 2.9138 (2) |
| Ce2—C1 | 2.9493 (3) | O7—O16 | 2.9455 (2) |
| Ce3—O17 | 2.4651 (2) | O7—O16xi | 2.9455 (2) |
| Ce3—O15iv | 2.4923 (2) | O7—O12iv | 3.1764 (3) |
| Ce3—O15ii | 2.4924 (2) | O7—O12xiii | 3.1764 (3) |
| Ce3—O15 | 2.4935 (2) | O8—C4 | 1.3051 (1) |
| Ce3—O16i | 2.5224 (2) | O8—O8xi | 2.2154 (3) |
| Ce3—O6 | 2.5305 (2) | O8—O7xii | 2.2868 (2) |
| Ce3—O10 | 2.5362 (2) | O8—Ce2 | 2.5562 (2) |
| Ce3—O9 | 2.5494 (3) | O8—Ce3 | 2.5919 (2) |
| Ce3—O8 | 2.5919 (2) | O8—O17 | 2.7978 (3) |
| Ce3—O2i | 2.6160 (2) | O8—O7 | 2.9138 (2) |
| Ce3—O5 | 2.6293 (4) | O8—O16i | 2.9352 (3) |
| Ce3—C3 | 2.9525 (3) | O8—O2i | 2.9497 (4) |
| Ce3—O10ii | 3.1608 (3) | O8—O14i | 3.0106 (2) |
| C1—O2vi | 1.2536 (1) | O8—O14v | 3.0108 (2) |
| C1—O2 | 1.2536 (1) | O8—O14 | 3.0116 (2) |
| C1—O1 | 1.3140 (1) | O8—O12iv | 3.1787 (3) |
| C1—O1v | 2.9491 (3) | O8—O9 | 3.1988 (3) |
| C1—Ce2 | 2.9493 (3) | O9—C5ii | 1.3572 (1) |
| C1—Ce2vi | 2.9493 (3) | O9—O10xvii | 2.3410 (2) |
| C1—O4vii | 3.1779 (3) | O9—O10ii | 2.3410 (2) |
| C1—O4v | 3.1779 (3) | O9—Ce3 | 2.5494 (3) |
| C2—O4iii | 1.2708 (1) | O9—Ce3xi | 2.5494 (3) |
| C2—O4viii | 1.2708 (1) | O9—C5 | 2.7782 (3) |
| C2—O3 | 1.2917 (1) | O9—O10 | 2.8648 (2) |
| C2—O3viii | 2.7899 (3) | O9—O10xi | 2.8648 (2) |
| C2—O17ix | 3.1361 (2) | O9—O16xii | 2.9430 (2) |
| C2—O17ii | 3.1361 (2) | O9—O16i | 2.9430 (2) |
| C2—O1ii | 3.1659 (3) | O9—O8 | 3.1988 (3) |
| C2—Ce1vi | 3.1851 (3) | O9—O8xi | 3.1988 (3) |
| C2—Ce1 | 3.1851 (3) | O10—C5 | 1.3159 (1) |
| C3—O6 | 1.2710 (1) | O10—O10xi | 2.2253 (3) |
| C3—O6vi | 1.2710 (1) | O10—O9xiii | 2.3410 (2) |
| C3—O5 | 1.3598 (1) | O10—Ce3 | 2.5362 (2) |
| C3—O5ii | 2.9095 (3) | O10—Ce1iv | 2.7318 (2) |
| C3—Ce3vi | 2.9525 (3) | O10—O17 | 2.8106 (3) |
| C3—Ce3 | 2.9525 (3) | O10—O9 | 2.8648 (2) |
| C3—O2x | 3.0221 (2) | O10—O16xiv | 2.8952 (3) |
| C3—O2i | 3.0221 (2) | O10—O6iv | 2.9468 (4) |
| C4—O8 | 1.3051 (1) | O10—O15ii | 3.0034 (2) |
| C4—O8xi | 1.3051 (1) | O10—O11xiii | 3.0039 (2) |
| C4—O7xii | 1.3111 (1) | O10—O15iv | 3.0042 (2) |
| C4—O7 | 2.7722 (3) | O10—O15 | 3.0045 (2) |
| C4—O16xii | 3.1004 (2) | O10—C6xiii | 3.1214 (3) |
| C4—O16i | 3.1004 (2) | O10—O12iv | 3.1364 (3) |
| C5—O10xi | 1.3159 (1) | O10—Ce3iv | 3.1608 (3) |
| C5—O10 | 1.3159 (1) | O11—C6 | 1.3316 (1) |
| C5—O9xiii | 1.3572 (1) | O11—O12xi | 2.2387 (2) |
| C5—O9 | 2.7782 (3) | O11—O12 | 2.2387 (2) |
| C5—O16xiv | 3.0510 (2) | O11—Ce1 | 2.6799 (4) |
| C5—O16xv | 3.0510 (2) | O11—Ce1xi | 2.6799 (4) |
| C5—O11xiii | 3.1040 (3) | O11—O13xvi | 2.9869 (3) |
| C6—O12xi | 1.2721 (1) | O11—O13 | 2.9869 (3) |
| C6—O12 | 1.2721 (1) | O11—C6xix | 2.9968 (3) |
| C6—O11 | 1.3316 (1) | O11—O10ii | 3.0039 (2) |
| C6—O11xvi | 2.9968 (3) | O11—O10xvii | 3.0039 (2) |
| C6—Ce1 | 3.0033 (4) | O11—C5ii | 3.1040 (3) |
| C6—Ce1xi | 3.0033 (4) | O11—O16i | 3.1405 (2) |
| C6—O10ii | 3.1214 (3) | O11—O16xii | 3.1405 (2) |
| C6—O10xvii | 3.1214 (3) | O12—C6 | 1.2721 (1) |
| O1—C1 | 1.3140 (1) | O12—O12xi | 2.2333 (3) |
| O1—O2vi | 2.1978 (2) | O12—O11 | 2.2387 (2) |
| O1—O2 | 2.1978 (2) | O12—Ce2ii | 2.4954 (2) |
| O1—Ce2vi | 2.5923 (4) | O12—Ce1 | 2.5271 (2) |
| O1—Ce2 | 2.5923 (4) | O12—O17ii | 2.7644 (3) |
| O1—C1x | 2.9491 (3) | O12—O16ii | 2.8549 (3) |
| O1—O14i | 3.0346 (3) | O12—O4iii | 2.9447 (4) |
| O1—O14x | 3.0346 (3) | O12—O13 | 3.0451 (2) |
| O1—O14 | 3.0353 (3) | O12—O10ii | 3.1364 (3) |
| O1—O14vi | 3.0353 (3) | O12—O7ii | 3.1764 (3) |
| O1—O14v | 3.0353 (3) | O12—O8ii | 3.1787 (3) |
| O1—O14vii | 3.0353 (3) | O13—Ce1xix | 2.5068 (2) |
| O1—O4vii | 3.0500 (3) | O13—Ce1 | 2.5068 (2) |
| O1—O4v | 3.0500 (3) | O13—Ce1iii | 2.5068 (2) |
| O1—O2i | 3.1571 (3) | O13—O11xvi | 2.9869 (3) |
| O1—O2x | 3.1571 (3) | O13—O11xix | 2.9869 (3) |
| O1—C2xviii | 3.1659 (3) | O13—O11 | 2.9869 (3) |
| O2—C1 | 1.2536 (1) | O13—O4 | 3.0047 (2) |
| O2—O1 | 2.1978 (2) | O13—O4iii | 3.0047 (2) |
| O2—O2vi | 2.2194 (3) | O13—O4xix | 3.0047 (2) |
| O2—Ce2 | 2.5158 (2) | O13—O12iii | 3.0451 (2) |
| O2—Ce3v | 2.6160 (2) | O13—O12 | 3.0451 (2) |
| O2—O16 | 2.7905 (3) | O13—O12xix | 3.0451 (2) |
| O2—O17v | 2.8590 (3) | O14—Ce2v | 2.4985 (2) |
| O2—O8v | 2.9497 (4) | O14—Ce2i | 2.4996 (2) |
| O2—O5v | 2.9872 (2) | O14—Ce2 | 2.4996 (2) |
| O2—O14i | 3.0192 (2) | O14—O8v | 3.0106 (2) |
| O2—O14 | 3.0195 (2) | O14—O8i | 3.0108 (2) |
| O2—O14v | 3.0203 (2) | O14—O8 | 3.0116 (2) |
| O2—C3v | 3.0221 (2) | O14—O2v | 3.0192 (2) |
| O2—O6v | 3.0968 (3) | O14—O2 | 3.0195 (2) |
| O2—O1v | 3.1571 (3) | O14—O2i | 3.0203 (2) |
| O3—C2 | 1.2917 (1) | O14—O1v | 3.0346 (3) |
| O3—O4iii | 2.2083 (2) | O14—O1 | 3.0353 (3) |
| O3—O4viii | 2.2083 (2) | O14—O1x | 3.0353 (3) |
| O3—Ce1vi | 2.5010 (3) | O15—Ce3ii | 2.4923 (2) |
| O3—Ce1 | 2.5010 (3) | O15—Ce3iv | 2.4924 (2) |
| O3—C2xix | 2.7899 (3) | O15—Ce3 | 2.4935 (2) |
| O3—O4vi | 2.9185 (2) | O15—O5ii | 2.9967 (3) |
| O3—O4 | 2.9185 (2) | O15—O5xviii | 2.9967 (3) |
| O3—O17ix | 2.9969 (2) | O15—O5 | 2.9974 (3) |
| O3—O17ii | 2.9969 (2) | O15—O10iv | 3.0034 (2) |
| O3—O6vi | 3.1708 (3) | O15—O10ii | 3.0042 (2) |
| O3—O6 | 3.1708 (3) | O15—O10 | 3.0045 (2) |
| O4—C2xix | 1.2708 (1) | O15—O6ii | 3.0250 (2) |
| O4—O3xix | 2.2083 (2) | O15—O6iv | 3.0259 (2) |
| O4—O4vi | 2.2214 (3) | O15—O6 | 3.0261 (2) |
| O4—Ce1 | 2.5558 (2) | O16—Ce1v | 2.4641 (2) |
| O4—Ce2i | 2.6789 (2) | O16—Ce2 | 2.4963 (2) |
| O4—O16i | 2.8034 (3) | O16—Ce3v | 2.5224 (2) |
| O4—O3 | 2.9185 (2) | O16—O6v | 2.7637 (3) |
| O4—O17i | 2.9316 (3) | O16—O2 | 2.7905 (3) |
| O4—O12xix | 2.9447 (4) | O16—O4v | 2.8034 (3) |
| O4—O13 | 3.0047 (2) | O16—O12iv | 2.8549 (3) |
| O4—Ce1xix | 3.0350 (2) | O16—O10xxi | 2.8952 (3) |
| O4—O1x | 3.0500 (3) | O16—O8v | 2.9352 (3) |
| O4—C1x | 3.1779 (3) | O16—O9v | 2.9430 (2) |
| O5—C3 | 1.3598 (1) | O16—O7 | 2.9455 (2) |
| O5—O6 | 2.2681 (2) | O16—C5xxii | 3.0510 (2) |
| O5—O6vi | 2.2681 (2) | O16—C4v | 3.1004 (2) |
| O5—Ce3vi | 2.6293 (4) | O16—O11v | 3.1405 (2) |
| O5—Ce3 | 2.6293 (4) | O17—Ce3 | 2.4651 (2) |
| O5—C3xviii | 2.9095 (3) | O17—Ce2 | 2.4899 (2) |
| O5—O2i | 2.9872 (2) | O17—Ce1iv | 2.5193 (2) |
| O5—O2x | 2.9872 (2) | O17—O12iv | 2.7644 (3) |
| O5—O15xviii | 2.9967 (3) | O17—O8 | 2.7978 (3) |
| O5—O15iv | 2.9967 (3) | O17—O10 | 2.8106 (3) |
| O5—O15ix | 2.9967 (3) | O17—O2i | 2.8590 (3) |
| O5—O15ii | 2.9967 (3) | O17—O6iv | 2.8847 (3) |
| O5—O15vi | 2.9974 (3) | O17—O4v | 2.9316 (3) |
| O5—O15 | 2.9974 (3) | O17—O3xviii | 2.9969 (2) |
| O5—O6xviii | 3.0958 (3) | O17—C2xviii | 3.1361 (2) |
| O6—Ce1—O16i | 68.056 (5) | O15iv—O6—Ce1 | 119.969 (7) |
| O3—Ce1—O6 | 79.175 (7) | O15iv—O6—O5 | 67.212 (6) |
| O3—Ce1—O16i | 129.8011 (2) | O15iv—O6—O6vi | 113.988 (4) |
| O13—Ce1—O3 | 83.771 (4) | O15iv—O6—C3 | 92.857 (7) |
| O13—Ce1—O6 | 152.565 (2) | O15ii—O6—O15iv | 0.0173 (1) |
| O13—Ce1—O16i | 108.7737 (16) | O15ii—O6—O10ii | 60.385 (3) |
| O17ii—Ce1—O13 | 124.4587 (3) | O15ii—O6—O17ii | 88.7935 (18) |
| O17ii—Ce1—O3 | 73.3033 (17) | O15ii—O6—O16i | 97.647 (7) |
| O17ii—Ce1—O6 | 70.5643 (14) | O15ii—O6—Ce3 | 52.383 (2) |
| O17ii—Ce1—O16i | 124.9270 (7) | O15ii—O6—Ce1 | 119.982 (7) |
| O12—Ce1—O17ii | 66.432 (5) | O15ii—O6—O5 | 67.196 (6) |
| O12—Ce1—O13 | 74.4448 (8) | O15ii—O6—O6vi | 113.981 (4) |
| O12—Ce1—O3 | 108.161 (8) | O15ii—O6—C3 | 92.844 (7) |
| O12—Ce1—O6 | 131.403 (3) | O15—O6—O15ii | 0.0234 (1) |
| O12—Ce1—O16i | 122.034 (8) | O15—O6—O15iv | 0.0119 (1) |
| O4—Ce1—O12 | 147.1714 (15) | O15—O6—O10ii | 60.378 (3) |
| O4—Ce1—O17ii | 137.442 (6) | O15—O6—O17ii | 88.7713 (18) |
| O4—Ce1—O13 | 72.806 (2) | O15—O6—O16i | 97.659 (7) |
| O4—Ce1—O3 | 70.489 (6) | O15—O6—Ce3 | 52.405 (2) |
| O4—Ce1—O6 | 81.271 (4) | O15—O6—Ce1 | 119.973 (7) |
| O4—Ce1—O16i | 67.869 (5) | O15—O6—O5 | 67.210 (6) |
| O11—Ce1—O4 | 114.016 (5) | O15—O6—O6vi | 113.979 (4) |
| O11—Ce1—O12 | 50.824 (4) | O15—O6—C3 | 92.851 (7) |
| O11—Ce1—O17ii | 108.5367 (13) | O5ii—O6—O15 | 58.603 (5) |
| O11—Ce1—O13 | 70.2311 (5) | O5ii—O6—O15ii | 58.620 (5) |
| O11—Ce1—O3 | 149.713 (5) | O5ii—O6—O15iv | 58.615 (5) |
| O11—Ce1—O6 | 130.658 (3) | O5ii—O6—O10ii | 92.292 (6) |
| O11—Ce1—O16i | 75.123 (4) | O5ii—O6—O17ii | 64.688 (3) |
| O10ii—Ce1—O11 | 67.423 (7) | O5ii—O6—O16i | 151.7995 (16) |
| O10ii—Ce1—O4 | 132.857 (2) | O5ii—O6—Ce3 | 108.452 (3) |
| O10ii—Ce1—O12 | 73.108 (5) | O5ii—O6—Ce1 | 120.015 (2) |
| O10ii—Ce1—O17ii | 64.572 (5) | O5ii—O6—O5 | 72.644 (3) |
| O10ii—Ce1—O13 | 136.916 (6) | O5ii—O6—O6vi | 69.014 (3) |
| O10ii—Ce1—O3 | 133.255 (3) | O5ii—O6—C3 | 69.672 (3) |
| O10ii—Ce1—O6 | 68.738 (8) | O2i—O6—O5ii | 138.2089 (15) |
| O10ii—Ce1—O16i | 67.498 (2) | O2i—O6—O15 | 103.0890 (4) |
| C6—Ce1—O10ii | 65.751 (6) | O2i—O6—O15ii | 103.0656 (4) |
| C6—Ce1—O11 | 26.318 (4) | O2i—O6—O15iv | 103.0804 (4) |
| C6—Ce1—O4 | 135.9611 (18) | O2i—O6—O10ii | 111.373 (3) |
| C6—Ce1—O12 | 24.7246 (6) | O2i—O6—O17ii | 157.0762 (13) |
| C6—Ce1—O17ii | 85.397 (5) | O2i—O6—O16i | 56.525 (4) |
| C6—Ce1—O13 | 72.8880 (3) | O2i—O6—Ce3 | 54.281 (2) |
| C6—Ce1—O3 | 131.157 (8) | O2i—O6—Ce1 | 101.7483 (5) |
| C6—Ce1—O6 | 134.183 (2) | O2i—O6—O5 | 65.5648 (11) |
| C6—Ce1—O16i | 98.538 (8) | O2i—O6—O6vi | 90.0184 (1) |
| O4iii—Ce1—C6 | 85.388 (8) | O2i—O6—C3 | 74.733 (2) |
| O4iii—Ce1—O10ii | 121.160 (2) | O3—O6—O2i | 110.1894 (5) |
| O4iii—Ce1—O11 | 106.843 (5) | O3—O6—O5ii | 96.156 (3) |
| O4iii—Ce1—O4 | 103.942 (5) | O3—O6—O15 | 146.6079 (8) |
| O4iii—Ce1—O12 | 63.158 (8) | O3—O6—O15ii | 146.6312 (8) |
| O4iii—Ce1—O17ii | 62.9117 (10) | O3—O6—O15iv | 146.6157 (8) |
| O4iii—Ce1—O13 | 64.849 (2) | O3—O6—O10ii | 103.443 (4) |
| O4iii—Ce1—O3 | 45.7692 (5) | O3—O6—O17ii | 59.102 (3) |
| O4iii—Ce1—O6 | 114.557 (6) | O3—O6—O16i | 98.284 (4) |
| O4iii—Ce1—O16i | 171.3141 (1) | O3—O6—Ce3 | 154.5642 (1) |
| C2—Ce1—O4iii | 23.4161 (13) | O3—O6—Ce1 | 50.782 (8) |
| C2—Ce1—C6 | 108.784 (9) | O3—O6—O5 | 129.851 (8) |
| C2—Ce1—O10ii | 130.042 (4) | O3—O6—O6vi | 69.533 (3) |
| C2—Ce1—O11 | 129.519 (6) | O3—O6—C3 | 98.315 (8) |
| C2—Ce1—O4 | 87.318 (7) | O8v—O7—C4v | 28.992 (4) |
| C2—Ce1—O12 | 85.999 (10) | O8xx—O7—O8v | 57.946 (9) |
| C2—Ce1—O17ii | 65.4949 (10) | O8xx—O7—C4v | 28.992 (4) |
| C2—Ce1—O13 | 74.189 (4) | Ce2—O7—O8xx | 138.8427 (11) |
| C2—Ce1—O3 | 22.3854 (18) | Ce2—O7—O8v | 81.301 (8) |
| C2—Ce1—O6 | 96.147 (8) | Ce2—O7—C4v | 110.229 (3) |
| C2—Ce1—O16i | 151.8603 (15) | Ce2xi—O7—Ce2 | 137.900 (7) |
| O12iv—Ce2—O17 | 67.354 (5) | Ce2xi—O7—O8xx | 81.301 (8) |
| O16—Ce2—O12iv | 69.7710 (18) | Ce2xi—O7—O8v | 138.8427 (11) |
| O16—Ce2—O17 | 125.5583 (9) | Ce2xi—O7—C4v | 110.229 (3) |
| O14i—Ce2—O16 | 121.2583 (1) | C4—O7—Ce2xi | 80.4324 (15) |
| O14i—Ce2—O12iv | 147.535 (3) | C4—O7—Ce2 | 80.4324 (15) |
| O14i—Ce2—O17 | 112.9651 (9) | C4—O7—O8xx | 127.7044 (19) |
| O14v—Ce2—O14i | 0.0148 (1) | C4—O7—O8v | 127.7044 (19) |
| O14v—Ce2—O16 | 121.2720 (1) | C4—O7—C4v | 133.265 |
| O14v—Ce2—O12iv | 147.526 (3) | O8xi—O7—C4 | 26.388 (3) |
| O14v—Ce2—O17 | 112.9520 (9) | O8xi—O7—Ce2xi | 54.7608 (15) |
| O14—Ce2—O14v | 0.0288 (1) | O8xi—O7—Ce2 | 97.619 (6) |
| O14—Ce2—O14i | 0.0142 (1) | O8xi—O7—O8xx | 120.513 (7) |
| O14—Ce2—O16 | 121.2443 (1) | O8xi—O7—O8v | 151.1679 (8) |
| O14—Ce2—O12iv | 147.540 (3) | O8xi—O7—C4v | 141.4088 (19) |
| O14—Ce2—O17 | 112.9788 (9) | O8—O7—O8xi | 44.687 (7) |
| O2—Ce2—O14 | 74.0320 (1) | O8—O7—C4 | 26.388 (3) |
| O2—Ce2—O14v | 74.0557 (1) | O8—O7—Ce2xi | 97.619 (6) |
| O2—Ce2—O14i | 74.0427 (1) | O8—O7—Ce2 | 54.7608 (15) |
| O2—Ce2—O16 | 67.661 (5) | O8—O7—O8xx | 151.1679 (8) |
| O2—Ce2—O12iv | 133.469 (3) | O8—O7—O8v | 120.513 (7) |
| O2—Ce2—O17 | 127.415 (8) | O8—O7—C4v | 141.4088 (19) |
| O8—Ce2—O2 | 147.1439 (17) | O16—O7—O8 | 104.073 (6) |
| O8—Ce2—O14 | 73.1120 (16) | O16—O7—O8xi | 134.4049 (15) |
| O8—Ce2—O14v | 73.0883 (16) | O16—O7—C4 | 130.318 (3) |
| O8—Ce2—O14i | 73.1014 (16) | O16—O7—Ce2xi | 121.223 (6) |
| O8—Ce2—O16 | 132.211 (7) | O16—O7—Ce2 | 52.952 (5) |
| O8—Ce2—O12iv | 77.981 (5) | O16—O7—O8xx | 100.899 (5) |
| O8—Ce2—O17 | 67.330 (5) | O16—O7—O8v | 66.879 (4) |
| O1—Ce2—O8 | 117.556 (5) | O16—O7—C4v | 84.1849 (4) |
| O1—Ce2—O2 | 50.941 (4) | O16xi—O7—O16 | 73.812 (10) |
| O1—Ce2—O14 | 73.1557 (16) | O16xi—O7—O8 | 134.4049 (15) |
| O1—Ce2—O14v | 73.1568 (16) | O16xi—O7—O8xi | 104.073 (6) |
| O1—Ce2—O14i | 73.1546 (16) | O16xi—O7—C4 | 130.318 (3) |
| O1—Ce2—O16 | 110.1838 (19) | O16xi—O7—Ce2xi | 52.952 (5) |
| O1—Ce2—O12iv | 135.141 (2) | O16xi—O7—Ce2 | 121.223 (6) |
| O1—Ce2—O17 | 80.119 (4) | O16xi—O7—O8xx | 66.879 (4) |
| O7—Ce2—O1 | 147.362 (5) | O16xi—O7—O8v | 100.899 (5) |
| O7—Ce2—O8 | 68.594 (6) | O16xi—O7—C4v | 84.1849 (4) |
| O7—Ce2—O2 | 105.114 (8) | O12iv—O7—O16xi | 81.659 (5) |
| O7—Ce2—O14 | 79.103 (3) | O12iv—O7—O16 | 55.4402 (18) |
| O7—Ce2—O14v | 79.110 (3) | O12iv—O7—O8 | 62.7510 (17) |
| O7—Ce2—O14i | 79.108 (3) | O12iv—O7—O8xi | 79.014 (3) |
| O7—Ce2—O16 | 70.347 (2) | O12iv—O7—C4 | 82.9107 (2) |
| O7—Ce2—O12iv | 76.835 (8) | O12iv—O7—Ce2xi | 90.693 (7) |
| O7—Ce2—O17 | 127.4663 (2) | O12iv—O7—Ce2 | 49.9030 (2) |
| O4v—Ce2—O7 | 131.117 (3) | O12iv—O7—O8xx | 145.7189 (8) |
| O4v—Ce2—O1 | 70.685 (7) | O12iv—O7—O8v | 119.059 (6) |
| O4v—Ce2—O8 | 132.731 (2) | O12iv—O7—C4v | 139.4949 (15) |
| O4v—Ce2—O2 | 76.664 (5) | O12xiii—O7—O12iv | 41.164 (7) |
| O4v—Ce2—O14 | 142.800 (5) | O12xiii—O7—O16xi | 55.4402 (18) |
| O4v—Ce2—O14v | 142.808 (5) | O12xiii—O7—O16 | 81.659 (5) |
| O4v—Ce2—O14i | 142.802 (5) | O12xiii—O7—O8 | 79.014 (3) |
| O4v—Ce2—O16 | 65.488 (5) | O12xiii—O7—O8xi | 62.7510 (17) |
| O4v—Ce2—O12iv | 69.272 (8) | O12xiii—O7—C4 | 82.9107 (2) |
| O4v—Ce2—O17 | 68.996 (2) | O12xiii—O7—Ce2xi | 49.9030 (2) |
| C1—Ce2—O4v | 68.560 (6) | O12xiii—O7—Ce2 | 90.693 (7) |
| C1—Ce2—O7 | 128.720 (8) | O12xiii—O7—O8xx | 119.059 (6) |
| C1—Ce2—O1 | 26.437 (4) | O12xiii—O7—O8v | 145.7189 (8) |
| C1—Ce2—O8 | 139.294 (2) | O12xiii—O7—C4v | 139.4949 (15) |
| C1—Ce2—O2 | 24.9380 (3) | O8xi—O8—C4 | 31.925 (5) |
| C1—Ce2—O14 | 75.2309 (8) | O7xii—O8—O8xi | 61.027 (4) |
| C1—Ce2—O14v | 75.2451 (8) | O7xii—O8—C4 | 29.1380 (2) |
| C1—Ce2—O14i | 75.2364 (8) | Ce2—O8—O7xii | 120.430 (3) |
| C1—Ce2—O16 | 86.399 (5) | Ce2—O8—O8xi | 121.406 (5) |
| C1—Ce2—O12iv | 137.200 (2) | Ce2—O8—C4 | 125.482 (4) |
| C1—Ce2—O17 | 103.417 (7) | Ce3—O8—Ce2 | 107.751 (7) |
| O15iv—Ce3—O17 | 113.0721 (11) | Ce3—O8—O7xii | 120.217 (3) |
| O15ii—Ce3—O15iv | 0.0288 (1) | Ce3—O8—O8xi | 120.036 (4) |
| O15ii—Ce3—O17 | 113.0455 (11) | Ce3—O8—C4 | 126.719 (3) |
| O15—Ce3—O15ii | 0.0157 (1) | O17—O8—Ce3 | 54.273 (3) |
| O15—Ce3—O15iv | 0.0135 (1) | O17—O8—Ce2 | 55.206 (4) |
| O15—Ce3—O17 | 113.0607 (11) | O17—O8—O7xii | 160.6054 (7) |
| O16i—Ce3—O15 | 120.8177 (1) | O17—O8—O8xi | 138.343 (5) |
| O16i—Ce3—O15ii | 120.8333 (1) | O17—O8—C4 | 170.2560 (5) |
| O16i—Ce3—O15iv | 120.8054 (1) | O7—O8—O17 | 106.515 (4) |
| O16i—Ce3—O17 | 125.4577 (8) | O7—O8—Ce3 | 159.3764 (3) |
| O6—Ce3—O16i | 66.315 (5) | O7—O8—Ce2 | 56.645 (8) |
| O6—Ce3—O15 | 74.0702 (1) | O7—O8—O7xii | 80.402 (3) |
| O6—Ce3—O15ii | 74.0817 (1) | O7—O8—O8xi | 67.656 (4) |
| O6—Ce3—O15iv | 74.0580 (1) | O7—O8—C4 | 70.745 (4) |
| O6—Ce3—O17 | 125.380 (8) | O16i—O8—O7 | 146.1989 (2) |
| O10—Ce3—O6 | 147.4151 (17) | O16i—O8—O17 | 101.274 (5) |
| O10—Ce3—O16i | 134.128 (7) | O16i—O8—Ce3 | 53.8728 (6) |
| O10—Ce3—O15 | 73.3558 (18) | O16i—O8—Ce2 | 133.143 (6) |
| O10—Ce3—O15ii | 73.3441 (18) | O16i—O8—O7xii | 67.354 (4) |
| O10—Ce3—O15iv | 73.3681 (18) | O16i—O8—O8xi | 103.016 (2) |
| O10—Ce3—O17 | 68.368 (5) | O16i—O8—C4 | 84.711 (5) |
| O9—Ce3—O10 | 68.571 (6) | O2i—O8—O16i | 56.6112 (10) |
| O9—Ce3—O6 | 107.399 (8) | O2i—O8—O7 | 124.4614 (17) |
| O9—Ce3—O16i | 70.9370 (18) | O2i—O8—O17 | 59.592 (8) |
| O9—Ce3—O15 | 81.717 (3) | O2i—O8—Ce3 | 55.889 (4) |
| O9—Ce3—O15ii | 81.723 (3) | O2i—O8—Ce2 | 77.180 (8) |
| O9—Ce3—O15iv | 81.716 (3) | O2i—O8—O7xii | 101.386 (7) |
| O9—Ce3—O17 | 127.1439 (1) | O2i—O8—O8xi | 158.555 (3) |
| O8—Ce3—O9 | 76.944 (7) | O2i—O8—C4 | 129.877 (7) |
| O8—Ce3—O10 | 80.589 (4) | O14i—O8—O2i | 60.866 (4) |
| O8—Ce3—O6 | 131.189 (3) | O14i—O8—O16i | 94.132 (3) |
| O8—Ce3—O16i | 70.0316 (16) | O14i—O8—O7 | 66.678 (6) |
| O8—Ce3—O15 | 150.962 (3) | O14i—O8—O17 | 91.380 (8) |
| O8—Ce3—O15ii | 150.957 (3) | O14i—O8—Ce3 | 116.652 (8) |
| O8—Ce3—O15iv | 150.971 (3) | O14i—O8—Ce2 | 52.568 (3) |
| O8—Ce3—O17 | 67.126 (5) | O14i—O8—O7xii | 74.491 (6) |
| O2i—Ce3—O8 | 68.994 (8) | O14i—O8—O8xi | 119.792 (4) |
| O2i—Ce3—O9 | 131.611 (3) | O14i—O8—C4 | 95.883 (8) |
| O2i—Ce3—O10 | 134.069 (2) | O14v—O8—O14i | 0.0237 (1) |
| O2i—Ce3—O6 | 73.967 (5) | O14v—O8—O2i | 60.858 (4) |
| O2i—Ce3—O16i | 65.755 (5) | O14v—O8—O16i | 94.110 (3) |
| O2i—Ce3—O15 | 139.575 (5) | O14v—O8—O7 | 66.693 (6) |
| O2i—Ce3—O15ii | 139.577 (5) | O14v—O8—O17 | 91.393 (8) |
| O2i—Ce3—O15iv | 139.569 (5) | O14v—O8—Ce3 | 116.646 (8) |
| O2i—Ce3—O17 | 68.407 (2) | O14v—O8—Ce2 | 52.591 (3) |
| O5—Ce3—O2i | 69.431 (7) | O14v—O8—O7xii | 74.474 (6) |
| O5—Ce3—O8 | 132.955 (2) | O14v—O8—O8xi | 119.790 (4) |
| O5—Ce3—O9 | 149.705 (5) | O14v—O8—C4 | 95.872 (8) |
| O5—Ce3—O10 | 115.072 (5) | O14—O8—O14v | 0.0176 (1) |
| O5—Ce3—O6 | 52.110 (4) | O14—O8—O14i | 0.0141 (1) |
| O5—Ce3—O16i | 110.7371 (15) | O14—O8—O2i | 60.873 (4) |
| O5—Ce3—O15 | 71.5659 (14) | O14—O8—O16i | 94.127 (3) |
| O5—Ce3—O15ii | 71.5639 (14) | O14—O8—O7 | 66.676 (6) |
| O5—Ce3—O15iv | 71.5636 (14) | O14—O8—O17 | 91.394 (8) |
| O5—Ce3—O17 | 77.882 (4) | O14—O8—Ce3 | 116.660 (8) |
| C3—Ce3—O5 | 27.422 (4) | O14—O8—Ce2 | 52.579 (3) |
| C3—Ce3—O2i | 65.410 (6) | O14—O8—O7xii | 74.477 (6) |
| C3—Ce3—O8 | 133.911 (2) | O14—O8—O8xi | 119.780 (4) |
| C3—Ce3—O9 | 131.591 (7) | O14—O8—C4 | 95.869 (8) |
| C3—Ce3—O10 | 138.6430 (19) | O12iv—O8—O14 | 101.5289 (5) |
| C3—Ce3—O6 | 25.3362 (4) | O12iv—O8—O14v | 101.5426 (5) |
| C3—Ce3—O16i | 85.402 (5) | O12iv—O8—O14i | 101.5189 (5) |
| C3—Ce3—O15 | 75.1264 (4) | O12iv—O8—O2i | 111.008 (3) |
| C3—Ce3—O15ii | 75.1320 (4) | O12iv—O8—O16i | 151.0849 (10) |
| C3—Ce3—O15iv | 75.1180 (4) | O12iv—O8—O7 | 62.6684 (8) |
| C3—Ce3—O17 | 101.092 (8) | O12iv—O8—O17 | 54.654 (4) |
| O10ii—Ce3—C3 | 84.690 (8) | O12iv—O8—Ce3 | 97.2380 (4) |
| O10ii—Ce3—O5 | 106.178 (5) | O12iv—O8—Ce2 | 50.158 (2) |
| O10ii—Ce3—O2i | 119.289 (3) | O12iv—O8—O7xii | 140.302 (3) |
| O10ii—Ce3—O8 | 112.721 (6) | O12iv—O8—O8xi | 90.1610 (1) |
| O10ii—Ce3—O9 | 46.9082 (7) | O12iv—O8—C4 | 117.207 (4) |
| O10ii—Ce3—O10 | 103.689 (5) | O9—O8—O12iv | 105.7773 (3) |
| O10ii—Ce3—O6 | 61.182 (8) | O9—O8—O14 | 151.1353 (5) |
| O10ii—Ce3—O16i | 60.0063 (11) | O9—O8—O14v | 151.1187 (5) |
| O10ii—Ce3—O15 | 62.8915 (17) | O9—O8—O14i | 151.1414 (5) |
| O10ii—Ce3—O15ii | 62.9060 (17) | O9—O8—O2i | 99.973 (5) |
| O10ii—Ce3—O15iv | 62.8812 (17) | O9—O8—O16i | 57.150 (3) |
| O10ii—Ce3—O17 | 172.0527 (4) | O9—O8—O7 | 135.531 (7) |
| O2—C1—O2vi | 124.551 (8) | O9—O8—O17 | 96.757 (5) |
| O1—C1—O2 | 117.717 (4) | O9—O8—Ce3 | 50.931 (8) |
| O1—C1—O2vi | 117.717 (4) | O9—O8—Ce2 | 149.4959 (5) |
| O1v—C1—O1 | 93.782 | O9—O8—O7xii | 90.021 (3) |
| O1v—C1—O2 | 87.6638 (3) | O9—O8—O8xi | 69.739 (3) |
| O1v—C1—O2vi | 87.6638 (3) | O9—O8—C4 | 79.930 (5) |
| Ce2—C1—O1v | 103.3057 (18) | O10xvii—O9—C5ii | 28.379 (4) |
| Ce2—C1—O1 | 61.442 (4) | O10ii—O9—O10xvii | 56.759 (9) |
| Ce2—C1—O2 | 57.797 (9) | O10ii—O9—C5ii | 28.379 (4) |
| Ce2—C1—O2vi | 168.9995 (14) | Ce3—O9—O10ii | 80.410 (7) |
| Ce2vi—C1—Ce2 | 117.627 (9) | Ce3—O9—O10xvii | 136.9046 (12) |
| Ce2vi—C1—O1v | 103.3057 (18) | Ce3—O9—C5ii | 108.687 (3) |
| Ce2vi—C1—O1 | 61.442 (4) | Ce3xi—O9—Ce3 | 141.262 (6) |
| Ce2vi—C1—O2 | 168.9995 (14) | Ce3xi—O9—O10ii | 136.9046 (12) |
| Ce2vi—C1—O2vi | 57.797 (9) | Ce3xi—O9—O10xvii | 80.410 (7) |
| O4vii—C1—Ce2vi | 51.6872 (9) | Ce3xi—O9—C5ii | 108.687 (3) |
| O4vii—C1—Ce2 | 88.742 (6) | C5—O9—Ce3xi | 81.5567 (13) |
| O4vii—C1—O1v | 154.808 (3) | C5—O9—Ce3 | 81.5567 (13) |
| O4vii—C1—O1 | 72.4156 (4) | C5—O9—O10ii | 125.5038 (16) |
| O4vii—C1—O2 | 117.314 (2) | C5—O9—O10xvii | 125.5038 (16) |
| O4vii—C1—O2vi | 80.799 (5) | C5—O9—C5ii | 131.242 |
| O4v—C1—O4vii | 40.914 (7) | O10—O9—C5 | 26.913 (3) |
| O4v—C1—Ce2vi | 88.742 (6) | O10—O9—Ce3xi | 99.576 (6) |
| O4v—C1—Ce2 | 51.6872 (9) | O10—O9—Ce3 | 55.4960 (18) |
| O4v—C1—O1v | 154.808 (3) | O10—O9—O10ii | 119.135 (6) |
| O4v—C1—O1 | 72.4156 (4) | O10—O9—O10xvii | 148.8802 (9) |
| O4v—C1—O2 | 80.799 (5) | O10—O9—C5ii | 139.6961 (18) |
| O4v—C1—O2vi | 117.314 (2) | O10xi—O9—O10 | 45.709 (7) |
| O4viii—C2—O4iii | 121.864 (9) | O10xi—O9—C5 | 26.913 (3) |
| O3—C2—O4viii | 119.033 (4) | O10xi—O9—Ce3xi | 55.4960 (18) |
| O3—C2—O4iii | 119.033 (4) | O10xi—O9—Ce3 | 99.576 (6) |
| O3viii—C2—O3 | 107.518 | O10xi—O9—O10ii | 148.8802 (9) |
| O3viii—C2—O4viii | 82.8618 (10) | O10xi—O9—O10xvii | 119.135 (6) |
| O3viii—C2—O4iii | 82.8618 (10) | O10xi—O9—C5ii | 139.6961 (18) |
| O17ix—C2—O3viii | 145.484 (5) | O16xii—O9—O10xi | 106.661 (7) |
| O17ix—C2—O3 | 71.8604 (11) | O16xii—O9—O10 | 138.9005 (13) |
| O17ix—C2—O4viii | 69.006 (7) | O16xii—O9—C5 | 133.546 (4) |
| O17ix—C2—O4iii | 128.713 (4) | O16xii—O9—Ce3xi | 54.104 (5) |
| O17ii—C2—O17ix | 68.489 (10) | O16xii—O9—Ce3 | 123.206 (5) |
| O17ii—C2—O3viii | 145.484 (5) | O16xii—O9—O10ii | 98.820 (5) |
| O17ii—C2—O3 | 71.8604 (11) | O16xii—O9—O10xvii | 65.293 (4) |
| O17ii—C2—O4viii | 128.713 (4) | O16xii—O9—C5ii | 81.4009 (6) |
| O17ii—C2—O4iii | 69.006 (7) | O16i—O9—O16xii | 73.883 (10) |
| O1ii—C2—O17ii | 62.5502 (17) | O16i—O9—O10xi | 138.9005 (13) |
| O1ii—C2—O17ix | 62.5502 (17) | O16i—O9—O10 | 106.661 (7) |
| O1ii—C2—O3viii | 128.500 | O16i—O9—C5 | 133.546 (4) |
| O1ii—C2—O3 | 123.982 | O16i—O9—Ce3xi | 123.206 (5) |
| O1ii—C2—O4viii | 73.128 (2) | O16i—O9—Ce3 | 54.104 (5) |
| O1ii—C2—O4iii | 73.128 (2) | O16i—O9—O10ii | 65.293 (4) |
| Ce1vi—C2—O1ii | 108.2480 (18) | O16i—O9—O10xvii | 98.820 (5) |
| Ce1vi—C2—O17ii | 98.211 (7) | O16i—O9—C5ii | 81.4009 (6) |
| Ce1vi—C2—O17ix | 46.966 (3) | O8—O9—O16i | 56.9140 (19) |
| Ce1vi—C2—O3viii | 106.1066 (16) | O8—O9—O16xii | 82.551 (5) |
| Ce1vi—C2—O3 | 47.507 (5) | O8—O9—O10xi | 82.133 (3) |
| Ce1vi—C2—O4viii | 71.648 (9) | O8—O9—O10 | 66.0540 (18) |
| Ce1vi—C2—O4iii | 165.2278 (9) | O8—O9—C5 | 86.5430 (1) |
| Ce1—C2—Ce1vi | 94.321 (10) | O8—O9—Ce3xi | 92.261 (6) |
| Ce1—C2—O1ii | 108.2480 (18) | O8—O9—Ce3 | 52.1246 (4) |
| Ce1—C2—O17ii | 46.966 (3) | O8—O9—O10ii | 119.285 (6) |
| Ce1—C2—O17ix | 98.211 (7) | O8—O9—O10xvii | 144.9201 (8) |
| Ce1—C2—O3viii | 106.1066 (16) | O8—O9—C5ii | 138.0472 (14) |
| Ce1—C2—O3 | 47.507 (5) | O8xi—O9—O8 | 40.522 (7) |
| Ce1—C2—O4viii | 165.2278 (9) | O8xi—O9—O16i | 82.551 (5) |
| Ce1—C2—O4iii | 71.648 (9) | O8xi—O9—O16xii | 56.9140 (19) |
| O6vi—C3—O6 | 121.458 (9) | O8xi—O9—O10xi | 66.0540 (18) |
| O5—C3—O6vi | 119.079 (4) | O8xi—O9—O10 | 82.133 (3) |
| O5—C3—O6 | 119.079 (4) | O8xi—O9—C5 | 86.5430 (1) |
| O5ii—C3—O5 | 91.626 | O8xi—O9—Ce3xi | 52.1246 (4) |
| O5ii—C3—O6vi | 86.1468 (5) | O8xi—O9—Ce3 | 92.261 (6) |
| O5ii—C3—O6 | 86.1468 (5) | O8xi—O9—O10ii | 144.9201 (8) |
| Ce3vi—C3—O5ii | 102.6532 (17) | O8xi—O9—O10xvii | 119.285 (6) |
| Ce3vi—C3—O5 | 62.937 (4) | O8xi—O9—C5ii | 138.0472 (14) |
| Ce3vi—C3—O6vi | 58.429 (9) | O10xi—O10—C5 | 32.265 (5) |
| Ce3vi—C3—O6 | 171.0512 (12) | O9xiii—O10—O10xi | 61.621 (4) |
| Ce3—C3—Ce3vi | 120.063 (9) | O9xiii—O10—C5 | 29.3553 (3) |
| Ce3—C3—O5ii | 102.6532 (17) | Ce3—O10—O9xiii | 120.993 (3) |
| Ce3—C3—O5 | 62.937 (4) | Ce3—O10—O10xi | 120.637 (4) |
| Ce3—C3—O6vi | 171.0512 (12) | Ce3—O10—C5 | 126.545 (4) |
| Ce3—C3—O6 | 58.429 (9) | Ce1iv—O10—Ce3 | 106.020 (8) |
| O2x—C3—Ce3 | 91.113 (6) | Ce1iv—O10—O9xiii | 119.025 (3) |
| O2x—C3—Ce3vi | 51.9188 (12) | Ce1iv—O10—O10xi | 123.673 (5) |
| O2x—C3—O5ii | 154.494 (3) | Ce1iv—O10—C5 | 127.175 (4) |
| O2x—C3—O5 | 75.4961 (4) | O17—O10—Ce1iv | 54.049 (4) |
| O2x—C3—O6vi | 81.331 (5) | O17—O10—Ce3 | 54.618 (4) |
| O2x—C3—O6 | 119.334 (2) | O17—O10—O9xiii | 160.4711 (8) |
| O2i—C3—O2x | 43.086 (7) | O17—O10—O10xi | 137.900 (5) |
| O2i—C3—Ce3 | 51.9188 (12) | O17—O10—C5 | 170.1587 (5) |
| O2i—C3—Ce3vi | 91.113 (6) | O9—O10—O17 | 104.600 (4) |
| O2i—C3—O5ii | 154.494 (3) | O9—O10—Ce1iv | 158.1028 (1) |
| O2i—C3—O5 | 75.4961 (4) | O9—O10—Ce3 | 55.933 (8) |
| O2i—C3—O6vi | 119.334 (2) | O9—O10—O9xiii | 82.711 (3) |
| O2i—C3—O6 | 81.331 (5) | O9—O10—O10xi | 67.145 (4) |
| O8xi—C4—O8 | 116.151 (9) | O9—O10—C5 | 72.875 (4) |
| O7xii—C4—O8xi | 121.870 (5) | O16xiv—O10—O9 | 149.1032 (1) |
| O7xii—C4—O8 | 121.870 (5) | O16xiv—O10—O17 | 101.503 (5) |
| O7—C4—O7xii | 106.735 | O16xiv—O10—Ce1iv | 51.8420 (4) |
| O7—C4—O8xi | 82.8679 (9) | O16xiv—O10—Ce3 | 134.274 (6) |
| O7—C4—O8 | 82.8679 (9) | O16xiv—O10—O9xiii | 67.438 (4) |
| O16xii—C4—O7 | 144.656 (5) | O16xiv—O10—O10xi | 103.098 (2) |
| O16xii—C4—O7xii | 70.9352 (11) | O16xiv—O10—C5 | 83.937 (5) |
| O16xii—C4—O8xi | 70.508 (7) | O6iv—O10—O16xiv | 56.4598 (10) |
| O16xii—C4—O8 | 129.400 (4) | O6iv—O10—O9 | 126.0291 (16) |
| O16i—C4—O16xii | 69.570 (10) | O6iv—O10—O17 | 60.083 (8) |
| O16i—C4—O7 | 144.656 (5) | O6iv—O10—Ce1iv | 51.498 (4) |
| O16i—C4—O7xii | 70.9352 (11) | O6iv—O10—Ce3 | 78.283 (8) |
| O16i—C4—O8xi | 129.400 (4) | O6iv—O10—O9xiii | 100.852 (7) |
| O16i—C4—O8 | 70.508 (7) | O6iv—O10—O10xi | 158.488 (3) |
| O10—C5—O10xi | 115.469 (9) | O6iv—O10—C5 | 129.262 (8) |
| O9xiii—C5—O10 | 122.265 (5) | O15ii—O10—O6iv | 61.104 (5) |
| O9xiii—C5—O10xi | 122.265 (5) | O15ii—O10—O16xiv | 95.315 (3) |
| O9—C5—O9xiii | 108.758 | O15ii—O10—O9 | 68.361 (6) |
| O9—C5—O10 | 80.2118 (13) | O15ii—O10—O17 | 90.609 (8) |
| O9—C5—O10xi | 80.2118 (13) | O15ii—O10—Ce1iv | 112.460 (9) |
| O16xiv—C5—O9 | 144.467 (5) | O15ii—O10—Ce3 | 52.658 (3) |
| O16xiv—C5—O9xiii | 72.5069 (11) | O15ii—O10—O9xiii | 75.080 (6) |
| O16xiv—C5—O10 | 70.667 (7) | O15ii—O10—O10xi | 120.220 (4) |
| O16xiv—C5—O10xi | 130.492 (4) | O15ii—O10—C5 | 97.092 (8) |
| O16xv—C5—O16xiv | 70.862 (10) | O11xiii—O10—O15ii | 159.6112 (2) |
| O16xv—C5—O9 | 144.467 (5) | O11xiii—O10—O6iv | 103.857 (5) |
| O16xv—C5—O9xiii | 72.5069 (11) | O11xiii—O10—O16xiv | 64.301 (3) |
| O16xv—C5—O10 | 130.492 (4) | O11xiii—O10—O9 | 129.560 (6) |
| O16xv—C5—O10xi | 70.667 (7) | O11xiii—O10—O17 | 93.051 (5) |
| O11xiii—C5—O16xv | 61.3519 (19) | O11xiii—O10—Ce1iv | 55.465 (8) |
| O11xiii—C5—O16xiv | 61.3519 (19) | O11xiii—O10—Ce3 | 142.1697 (11) |
| O11xiii—C5—O9 | 128.934 | O11xiii—O10—O9xiii | 96.025 (4) |
| O11xiii—C5—O9xiii | 122.309 | O11xiii—O10—O10xi | 68.259 (4) |
| O11xiii—C5—O10 | 73.333 (2) | O11xiii—O10—C5 | 81.854 (5) |
| O11xiii—C5—O10xi | 73.333 (2) | O15iv—O10—O11xiii | 159.6293 (2) |
| O12—C6—O12xi | 122.755 (9) | O15iv—O10—O15ii | 0.0183 (1) |
| O11—C6—O12 | 118.579 (4) | O15iv—O10—O6iv | 61.119 (5) |
| O11—C6—O12xi | 118.579 (4) | O15iv—O10—O16xiv | 95.333 (3) |
| O11xvi—C6—O11 | 94.940 | O15iv—O10—O9 | 68.343 (6) |
| O11xvi—C6—O12 | 89.0925 (1) | O15iv—O10—O17 | 90.608 (8) |
| O11xvi—C6—O12xi | 89.0925 (1) | O15iv—O10—Ce1iv | 112.474 (9) |
| Ce1—C6—O11xvi | 102.3527 (17) | O15iv—O10—Ce3 | 52.646 (3) |
| Ce1—C6—O11 | 63.163 (4) | O15iv—O10—O9xiii | 75.084 (6) |
| Ce1—C6—O12 | 56.191 (8) | O15iv—O10—O10xi | 120.211 (4) |
| Ce1—C6—O12xi | 168.3507 (16) | O15iv—O10—C5 | 97.090 (8) |
| Ce1xi—C6—Ce1 | 122.047 (9) | O15—O10—O15iv | 0.0236 (1) |
| Ce1xi—C6—O11xvi | 102.3527 (17) | O15—O10—O11xiii | 159.6080 (2) |
| Ce1xi—C6—O11 | 63.163 (4) | O15—O10—O15ii | 0.0137 (1) |
| Ce1xi—C6—O12 | 168.3507 (16) | O15—O10—O6iv | 61.112 (5) |
| Ce1xi—C6—O12xi | 56.191 (8) | O15—O10—O16xiv | 95.311 (3) |
| O10ii—C6—Ce1xi | 91.202 (6) | O15—O10—O9 | 68.358 (6) |
| O10ii—C6—Ce1 | 52.9355 (11) | O15—O10—O17 | 90.622 (8) |
| O10ii—C6—O11xvi | 155.149 (3) | O15—O10—Ce1iv | 112.468 (9) |
| O10ii—C6—O11 | 72.5484 (4) | O15—O10—Ce3 | 52.669 (3) |
| O10ii—C6—O12 | 78.933 (5) | O15—O10—O9xiii | 75.066 (6) |
| O10ii—C6—O12xi | 115.712 (3) | O15—O10—O10xi | 120.208 (4) |
| O10xvii—C6—O10ii | 41.766 (7) | O15—O10—C5 | 97.078 (8) |
| O10xvii—C6—Ce1xi | 52.9355 (11) | C6xiii—O10—O15 | 169.1399 (8) |
| O10xvii—C6—Ce1 | 91.202 (6) | C6xiii—O10—O15iv | 169.1253 (8) |
| O10xvii—C6—O11xvi | 155.149 (3) | C6xiii—O10—O11xiii | 25.0167 (6) |
| O10xvii—C6—O11 | 72.5484 (4) | C6xiii—O10—O15ii | 169.1263 (8) |
| O10xvii—C6—O12 | 115.712 (3) | C6xiii—O10—O6iv | 112.620 (3) |
| O10xvii—C6—O12xi | 78.933 (5) | C6xiii—O10—O16xiv | 87.3475 (17) |
| O2vi—O1—C1 | 30.327 (4) | C6xiii—O10—O9 | 113.740 (4) |
| O2—O1—O2vi | 60.651 (9) | C6xiii—O10—O17 | 78.525 (7) |
| O2—O1—C1 | 30.327 (4) | C6xiii—O10—Ce1iv | 61.314 (7) |
| Ce2vi—O1—O2 | 121.647 (4) | C6xiii—O10—Ce3 | 118.783 (2) |
| Ce2vi—O1—O2vi | 62.730 (5) | C6xiii—O10—O9xiii | 115.569 (6) |
| Ce2vi—O1—C1 | 92.1206 (4) | C6xiii—O10—O10xi | 69.117 (3) |
| Ce2—O1—Ce2vi | 153.468 (5) | C6xiii—O10—C5 | 93.669 (7) |
| Ce2—O1—O2 | 62.730 (5) | O12iv—O10—C6xiii | 23.456 (3) |
| Ce2—O1—O2vi | 121.647 (4) | O12iv—O10—O15 | 145.687 (4) |
| Ce2—O1—C1 | 92.1206 (4) | O12iv—O10—O15iv | 145.672 (4) |
| C1x—O1—Ce2 | 95.4609 (9) | O12iv—O10—O11xiii | 42.6975 (15) |
| C1x—O1—Ce2vi | 95.4609 (9) | O12iv—O10—O15ii | 145.673 (4) |
| C1x—O1—O2 | 135.579 (3) | O12iv—O10—O6iv | 97.0249 (11) |
| C1x—O1—O2vi | 135.579 (3) | O12iv—O10—O16xiv | 92.6673 (1) |
| C1x—O1—C1 | 146.218 | O12iv—O10—O9 | 115.8011 (7) |
| O14i—O1—C1x | 67.955 (3) | O12iv—O10—O17 | 55.071 (4) |
| O14i—O1—Ce2 | 52.001 (7) | O12iv—O10—Ce1iv | 50.441 (3) |
| O14i—O1—Ce2vi | 153.874 (3) | O12iv—O10—Ce3 | 99.5132 (5) |
| O14i—O1—O2 | 68.340 (5) | O12iv—O10—O9xiii | 138.143 (3) |
| O14i—O1—O2vi | 114.584 (5) | O12iv—O10—O10xi | 90.0725 (1) |
| O14i—O1—C1 | 91.7983 (2) | O12iv—O10—C5 | 116.952 (4) |
| O14x—O1—O14i | 102.062 (10) | Ce3iv—O10—O12iv | 137.0700 (19) |
| O14x—O1—C1x | 67.955 (3) | Ce3iv—O10—C6xiii | 136.3159 (12) |
| O14x—O1—Ce2 | 153.874 (3) | Ce3iv—O10—O15 | 47.6063 (18) |
| O14x—O1—Ce2vi | 52.001 (7) | Ce3iv—O10—O15iv | 47.6294 (18) |
| O14x—O1—O2 | 114.584 (5) | Ce3iv—O10—O11xiii | 112.434 (2) |
| O14x—O1—O2vi | 68.340 (5) | Ce3iv—O10—O15ii | 47.6125 (18) |
| O14x—O1—C1 | 91.7983 (2) | Ce3iv—O10—O6iv | 48.7979 (11) |
| O14—O1—O14x | 102.046 (10) | Ce3iv—O10—O16xiv | 48.9878 (6) |
| O14—O1—O14i | 0.0201 (1) | Ce3iv—O10—O9 | 106.396 (2) |
| O14—O1—C1x | 67.958 (2) | Ce3iv—O10—O17 | 107.820 (9) |
| O14—O1—Ce2 | 52.017 (7) | Ce3iv—O10—Ce1iv | 86.992 (4) |
| O14—O1—Ce2vi | 153.860 (3) | Ce3iv—O10—Ce3 | 97.432 (5) |
| O14—O1—O2 | 68.334 (5) | Ce3iv—O10—O9xiii | 52.682 (8) |
| O14—O1—O2vi | 114.567 (5) | Ce3iv—O10—O10xi | 114.135 (4) |
| O14—O1—C1 | 91.7863 (2) | Ce3iv—O10—C5 | 81.956 (8) |
| O14vi—O1—O14 | 102.030 (10) | O12xi—O11—C6 | 29.933 (4) |
| O14vi—O1—O14x | 0.0201 (1) | O12—O11—O12xi | 59.839 (9) |
| O14vi—O1—O14i | 102.046 (10) | O12—O11—C6 | 29.933 (4) |
| O14vi—O1—C1x | 67.958 (2) | Ce1—O11—O12 | 61.054 (5) |
| O14vi—O1—Ce2 | 153.860 (3) | Ce1—O11—O12xi | 119.604 (4) |
| O14vi—O1—Ce2vi | 52.017 (7) | Ce1—O11—C6 | 90.5190 (1) |
| O14vi—O1—O2 | 114.567 (5) | Ce1xi—O11—Ce1 | 157.263 (4) |
| O14vi—O1—O2vi | 68.334 (5) | Ce1xi—O11—O12 | 119.604 (4) |
| O14vi—O1—C1 | 91.7863 (2) | Ce1xi—O11—O12xi | 61.054 (5) |
| O14v—O1—O14vi | 102.030 (10) | Ce1xi—O11—C6 | 90.5190 (1) |
| O14v—O1—O14 | 0.0237 (1) | O13xvi—O11—Ce1xi | 52.168 (7) |
| O14v—O1—O14x | 102.045 (10) | O13xvi—O11—Ce1 | 150.491 (3) |
| O14v—O1—O14i | 0.0197 (1) | O13xvi—O11—O12 | 113.974 (5) |
| O14v—O1—C1x | 67.937 (3) | O13xvi—O11—O12xi | 69.605 (5) |
| O14v—O1—Ce2 | 52.016 (7) | O13xvi—O11—C6 | 91.2868 (1) |
| O14v—O1—Ce2vi | 153.856 (3) | O13—O11—O13xvi | 98.341 (10) |
| O14v—O1—O2 | 68.357 (5) | O13—O11—Ce1xi | 150.491 (3) |
| O14v—O1—O2vi | 114.589 (5) | O13—O11—Ce1 | 52.168 (7) |
| O14v—O1—C1 | 91.8100 (2) | O13—O11—O12 | 69.605 (5) |
| O14vii—O1—O14v | 102.029 (10) | O13—O11—O12xi | 113.974 (5) |
| O14vii—O1—O14vi | 0.0237 (1) | O13—O11—C6 | 91.2868 (1) |
| O14vii—O1—O14 | 102.030 (10) | C6xix—O11—O13 | 66.882 (2) |
| O14vii—O1—O14x | 0.0197 (1) | C6xix—O11—O13xvi | 66.882 (2) |
| O14vii—O1—O14i | 102.045 (10) | C6xix—O11—Ce1xi | 96.0472 (10) |
| O14vii—O1—C1x | 67.937 (3) | C6xix—O11—Ce1 | 96.0472 (10) |
| O14vii—O1—Ce2 | 153.856 (3) | C6xix—O11—O12 | 135.946 (3) |
| O14vii—O1—Ce2vi | 52.016 (7) | C6xix—O11—O12xi | 135.946 (3) |
| O14vii—O1—O2 | 114.589 (5) | C6xix—O11—C6 | 145.060 |
| O14vii—O1—O2vi | 68.357 (5) | O10ii—O11—C6xix | 129.3850 (12) |
| O14vii—O1—C1 | 91.8100 (2) | O10ii—O11—O13 | 108.875 (9) |
| O4vii—O1—O14vii | 107.531 (8) | O10ii—O11—O13xvi | 152.1346 (15) |
| O4vii—O1—O14v | 150.1528 (15) | O10ii—O11—Ce1xi | 100.561 (5) |
| O4vii—O1—O14vi | 107.529 (8) | O10ii—O11—Ce1 | 57.1114 (16) |
| O4vii—O1—O14 | 150.1488 (15) | O10ii—O11—O12 | 71.812 (3) |
| O4vii—O1—O14x | 107.514 (8) | O10ii—O11—O12xi | 93.289 (4) |
| O4vii—O1—O14i | 150.1351 (15) | O10ii—O11—C6 | 82.4348 (2) |
| O4vii—O1—C1x | 127.6082 (10) | O10xvii—O11—O10ii | 43.482 (7) |
| O4vii—O1—Ce2 | 98.596 (6) | O10xvii—O11—C6xix | 129.3850 (12) |
| O4vii—O1—Ce2vi | 55.9841 (13) | O10xvii—O11—O13 | 152.1346 (15) |
| O4vii—O1—O2 | 95.108 (3) | O10xvii—O11—O13xvi | 108.875 (9) |
| O4vii—O1—O2vi | 73.818 (3) | O10xvii—O11—Ce1xi | 57.1114 (16) |
| O4vii—O1—C1 | 83.3367 (2) | O10xvii—O11—Ce1 | 100.561 (5) |
| O4v—O1—O4vii | 42.712 (7) | O10xvii—O11—O12 | 93.289 (4) |
| O4v—O1—O14vii | 150.1528 (15) | O10xvii—O11—O12xi | 71.812 (3) |
| O4v—O1—O14v | 107.531 (8) | O10xvii—O11—C6 | 82.4348 (2) |
| O4v—O1—O14vi | 150.1488 (15) | C5ii—O11—O10xvii | 24.812 (3) |
| O4v—O1—O14 | 107.529 (8) | C5ii—O11—O10ii | 24.812 (3) |
| O4v—O1—O14x | 150.1351 (15) | C5ii—O11—C6xix | 120.828 |
| O4v—O1—O14i | 107.514 (8) | C5ii—O11—O13 | 130.552 (5) |
| O4v—O1—C1x | 127.6082 (10) | C5ii—O11—O13xvi | 130.552 (5) |
| O4v—O1—Ce2 | 55.9841 (13) | C5ii—O11—Ce1xi | 78.635 (2) |
| O4v—O1—Ce2vi | 98.596 (6) | C5ii—O11—Ce1 | 78.635 (2) |
| O4v—O1—O2 | 73.818 (3) | C5ii—O11—O12 | 92.7345 (1) |
| O4v—O1—O2vi | 95.108 (3) | C5ii—O11—O12xi | 92.7345 (1) |
| O4v—O1—C1 | 83.3367 (2) | C5ii—O11—C6 | 94.111 |
| O2i—O1—O4v | 107.621 (4) | O16i—O11—C5ii | 58.493 (2) |
| O2i—O1—O4vii | 123.9665 (14) | O16i—O11—O10xvii | 81.981 (5) |
| O2i—O1—O14vii | 91.220 (5) | O16i—O11—O10ii | 56.170 (2) |
| O2i—O1—O14v | 58.322 (2) | O16i—O11—C6xix | 73.6314 (10) |
| O2i—O1—O14vi | 91.240 (5) | O16i—O11—O13 | 82.489 (8) |
| O2i—O1—O14 | 58.346 (2) | O16i—O11—O13xvi | 136.186 (3) |
| O2i—O1—O14x | 91.238 (5) | O16i—O11—Ce1xi | 116.900 (6) |
| O2i—O1—O14i | 58.335 (2) | O16i—O11—Ce1 | 49.316 (4) |
| O2i—O1—C1x | 23.375 (3) | O16i—O11—O12 | 107.334 (8) |
| O2i—O1—Ce2 | 72.952 (4) | O16i—O11—O12xi | 149.2911 (15) |
| O2i—O1—Ce2vi | 113.019 (3) | O16i—O11—C6 | 132.523 (3) |
| O2i—O1—O2 | 124.564 (7) | O16xii—O11—O16i | 68.556 (10) |
| O2i—O1—O2vi | 157.2598 (2) | O16xii—O11—C5ii | 58.493 (2) |
| O2i—O1—C1 | 149.913 (2) | O16xii—O11—O10xvii | 56.170 (2) |
| O2x—O1—O2i | 41.157 (7) | O16xii—O11—O10ii | 81.981 (5) |
| O2x—O1—O4v | 123.9665 (14) | O16xii—O11—C6xix | 73.6314 (10) |
| O2x—O1—O4vii | 107.621 (4) | O16xii—O11—O13 | 136.186 (3) |
| O2x—O1—O14vii | 58.322 (2) | O16xii—O11—O13xvi | 82.489 (8) |
| O2x—O1—O14v | 91.220 (5) | O16xii—O11—Ce1xi | 49.316 (4) |
| O2x—O1—O14vi | 58.346 (2) | O16xii—O11—Ce1 | 116.900 (6) |
| O2x—O1—O14 | 91.240 (5) | O16xii—O11—O12 | 149.2911 (15) |
| O2x—O1—O14x | 58.335 (2) | O16xii—O11—O12xi | 107.334 (8) |
| O2x—O1—O14i | 91.238 (5) | O16xii—O11—C6 | 132.523 (3) |
| O2x—O1—C1x | 23.375 (3) | O12xi—O12—C6 | 28.623 (4) |
| O2x—O1—Ce2 | 113.019 (3) | O11—O12—O12xi | 60.081 (4) |
| O2x—O1—Ce2vi | 72.952 (4) | O11—O12—C6 | 31.4882 (1) |
| O2x—O1—O2 | 157.2598 (2) | Ce2ii—O12—O11 | 169.4311 (4) |
| O2x—O1—O2vi | 124.564 (7) | Ce2ii—O12—O12xi | 122.020 (5) |
| O2x—O1—C1 | 149.913 (2) | Ce2ii—O12—C6 | 149.9301 (4) |
| C2xviii—O1—O2x | 108.2704 (4) | Ce1—O12—Ce2ii | 106.713 (9) |
| C2xviii—O1—O2i | 108.2704 (4) | Ce1—O12—O11 | 68.122 (9) |
| C2xviii—O1—O4v | 23.497 (3) | Ce1—O12—O12xi | 126.712 (5) |
| C2xviii—O1—O4vii | 23.497 (3) | Ce1—O12—C6 | 99.084 (9) |
| C2xviii—O1—O14vii | 128.752 (5) | O17ii—O12—Ce1 | 56.648 (5) |
| C2xviii—O1—O14v | 128.752 (5) | O17ii—O12—Ce2ii | 56.230 (4) |
| C2xviii—O1—O14vi | 128.754 (5) | O17ii—O12—O11 | 114.676 (5) |
| C2xviii—O1—O14 | 128.754 (5) | O17ii—O12—O12xi | 138.845 (5) |
| C2xviii—O1—O14x | 128.737 (5) | O17ii—O12—C6 | 134.071 (6) |
| C2xviii—O1—O14i | 128.737 (5) | O16ii—O12—O17ii | 104.185 (5) |
| C2xviii—O1—C1x | 120.900 | O16ii—O12—Ce1 | 122.770 (6) |
| C2xviii—O1—Ce2 | 76.818 (2) | O16ii—O12—Ce2ii | 55.1297 (6) |
| C2xviii—O1—Ce2vi | 76.818 (2) | O16ii—O12—O11 | 135.4307 (2) |
| C2xviii—O1—O2 | 92.8170 (1) | O16ii—O12—O12xi | 103.204 (2) |
| C2xviii—O1—O2vi | 92.8170 (1) | O16ii—O12—C6 | 121.2702 (3) |
| C2xviii—O1—C1 | 92.881 | O4iii—O12—O16ii | 57.7870 (8) |
| O1—O2—C1 | 31.9553 (2) | O4iii—O12—O17ii | 61.699 (8) |
| O2vi—O2—O1 | 59.675 (4) | O4iii—O12—Ce1 | 66.870 (7) |
| O2vi—O2—C1 | 27.724 (4) | O4iii—O12—Ce2ii | 58.303 (5) |
| Ce2—O2—O2vi | 124.181 (5) | O4iii—O12—O11 | 124.264 (4) |
| Ce2—O2—O1 | 66.329 (9) | O4iii—O12—O12xi | 158.275 (4) |
| Ce2—O2—C1 | 97.265 (9) | O4iii—O12—C6 | 149.808 (4) |
| Ce3v—O2—Ce2 | 106.246 (8) | O13—O12—O4iii | 60.189 (2) |
| Ce3v—O2—O2vi | 123.610 (5) | O13—O12—O16ii | 86.4014 (16) |
| Ce3v—O2—O1 | 167.1937 (5) | O13—O12—O17ii | 99.791 (7) |
| Ce3v—O2—C1 | 149.7004 (8) | O13—O12—Ce1 | 52.4738 (19) |
| O16—O2—Ce3v | 55.508 (4) | O13—O12—Ce2ii | 118.036 (7) |
| O16—O2—Ce2 | 55.836 (4) | O13—O12—O11 | 66.837 (6) |
| O16—O2—O2vi | 138.329 (5) | O13—O12—O12xi | 112.055 (4) |
| O16—O2—O1 | 113.036 (5) | O13—O12—C6 | 89.869 (7) |
| O16—O2—C1 | 131.621 (6) | O10ii—O12—O13 | 104.0590 (4) |
| O17v—O2—O16 | 103.383 (5) | O10ii—O12—O4iii | 111.419 (3) |
| O17v—O2—Ce3v | 53.2950 (5) | O10ii—O12—O16ii | 158.9318 (14) |
| O17v—O2—Ce2 | 127.563 (6) | O10ii—O12—O17ii | 56.466 (4) |
| O17v—O2—O2vi | 103.246 (2) | O10ii—O12—Ce1 | 56.451 (2) |
| O17v—O2—O1 | 139.5006 (1) | O10ii—O12—Ce2ii | 103.9408 (7) |
| O17v—O2—C1 | 123.6860 (7) | O10ii—O12—O11 | 65.4908 (11) |
| O8v—O2—O17v | 57.5622 (8) | O10ii—O12—O12xi | 89.9275 (1) |
| O8v—O2—O16 | 61.433 (8) | O10ii—O12—C6 | 77.6108 (17) |
| O8v—O2—Ce3v | 55.117 (4) | O7ii—O12—O10ii | 113.4510 (6) |
| O8v—O2—Ce2 | 71.233 (7) | O7ii—O12—O13 | 142.4895 (9) |
| O8v—O2—O2vi | 158.555 (3) | O7ii—O12—O4iii | 103.794 (4) |
| O8v—O2—O1 | 127.228 (3) | O7ii—O12—O16ii | 58.174 (3) |
| O8v—O2—C1 | 154.027 (4) | O7ii—O12—O17ii | 100.570 (4) |
| O5v—O2—O8v | 107.485 (4) | O7ii—O12—Ce1 | 157.2170 (6) |
| O5v—O2—O17v | 66.435 (3) | O7ii—O12—Ce2ii | 53.262 (8) |
| O5v—O2—O16 | 94.342 (5) | O7ii—O12—O11 | 129.395 (8) |
| O5v—O2—Ce3v | 55.494 (8) | O7ii—O12—O12xi | 69.418 (3) |
| O5v—O2—Ce2 | 147.6959 (6) | O7ii—O12—C6 | 98.034 (8) |
| O5v—O2—O2vi | 68.193 (4) | O8ii—O12—O7ii | 54.5805 (9) |
| O5v—O2—O1 | 125.173 (8) | O8ii—O12—O10ii | 63.3586 (1) |
| O5v—O2—C1 | 94.629 (8) | O8ii—O12—O13 | 155.415 (3) |
| O14i—O2—O5v | 155.7434 (6) | O8ii—O12—O4iii | 103.053 (2) |
| O14i—O2—O8v | 60.571 (3) | O8ii—O12—O16ii | 99.7859 (1) |
| O14i—O2—O17v | 90.0405 (19) | O8ii—O12—O17ii | 55.641 (4) |
| O14i—O2—O16 | 96.969 (7) | O8ii—O12—Ce1 | 105.7797 (10) |
| O14i—O2—Ce3v | 115.590 (8) | O8ii—O12—Ce2ii | 51.862 (2) |
| O14i—O2—Ce2 | 52.716 (2) | O8ii—O12—O11 | 119.5629 (15) |
| O14i—O2—O2vi | 114.450 (4) | O8ii—O12—O12xi | 89.8390 (1) |
| O14i—O2—O1 | 69.086 (6) | O8ii—O12—C6 | 106.568 (2) |
| O14i—O2—C1 | 93.773 (7) | Ce1—O13—Ce1xix | 117.8920 (7) |
| O14—O2—O14i | 0.0232 (1) | Ce1iii—O13—Ce1 | 117.8920 (7) |
| O14—O2—O5v | 155.7204 (6) | Ce1iii—O13—Ce1xix | 117.8920 (7) |
| O14—O2—O8v | 60.564 (3) | O11xvi—O13—Ce1iii | 57.601 (7) |
| O14—O2—O17v | 90.0188 (19) | O11xvi—O13—Ce1 | 116.3437 (5) |
| O14—O2—O16 | 96.982 (7) | O11xvi—O13—Ce1xix | 115.1258 (3) |
| O14—O2—Ce3v | 115.581 (8) | O11xix—O13—O11xvi | 68.973 (8) |
| O14—O2—Ce2 | 52.738 (2) | O11xix—O13—Ce1iii | 116.3437 (5) |
| O14—O2—O2vi | 114.447 (4) | O11xix—O13—Ce1 | 115.1258 (3) |
| O14—O2—O1 | 69.099 (6) | O11xix—O13—Ce1xix | 57.601 (7) |
| O14—O2—C1 | 93.779 (7) | O11—O13—O11xix | 68.973 (8) |
| O14v—O2—O14 | 0.0181 (1) | O11—O13—O11xvi | 68.973 (8) |
| O14v—O2—O14i | 0.0115 (1) | O11—O13—Ce1iii | 115.1258 (3) |
| O14v—O2—O5v | 155.7371 (6) | O11—O13—Ce1 | 57.601 (7) |
| O14v—O2—O8v | 60.577 (3) | O11—O13—Ce1xix | 116.3437 (5) |
| O14v—O2—O17v | 90.0367 (19) | O4—O13—O11 | 94.279 (8) |
| O14v—O2—O16 | 96.980 (7) | O4—O13—O11xix | 100.127 (7) |
| O14v—O2—Ce3v | 115.595 (8) | O4—O13—O11xvi | 162.2359 (4) |
| O14v—O2—Ce2 | 52.726 (2) | O4—O13—Ce1iii | 139.026 (6) |
| O14v—O2—O2vi | 114.440 (4) | O4—O13—Ce1 | 54.3485 (3) |
| O14v—O2—O1 | 69.083 (6) | O4—O13—Ce1xix | 66.1074 (4) |
| O14v—O2—C1 | 93.767 (7) | O4iii—O13—O4 | 94.524 (6) |
| C3v—O2—O14v | 176.6114 (3) | O4iii—O13—O11 | 100.127 (7) |
| C3v—O2—O14 | 176.6141 (3) | O4iii—O13—O11xix | 162.2359 (4) |
| C3v—O2—O14i | 176.6000 (3) | O4iii—O13—O11xvi | 94.279 (8) |
| C3v—O2—O5v | 26.1478 (6) | O4iii—O13—Ce1iii | 54.3485 (3) |
| C3v—O2—O8v | 117.446 (3) | O4iii—O13—Ce1 | 66.1074 (4) |
| C3v—O2—O17v | 90.9548 (17) | O4iii—O13—Ce1xix | 139.026 (6) |
| C3v—O2—O16 | 79.638 (7) | O4xix—O13—O4iii | 94.524 (6) |
| C3v—O2—Ce3v | 62.671 (7) | O4xix—O13—O4 | 94.524 (6) |
| C3v—O2—Ce2 | 124.409 (2) | O4xix—O13—O11 | 162.2359 (4) |
| C3v—O2—O2vi | 68.457 (3) | O4xix—O13—O11xix | 94.279 (8) |
| C3v—O2—O1 | 111.958 (6) | O4xix—O13—O11xvi | 100.127 (7) |
| C3v—O2—C1 | 88.379 (6) | O4xix—O13—Ce1iii | 66.1074 (4) |
| O6v—O2—C3v | 23.937 (3) | O4xix—O13—Ce1 | 139.026 (6) |
| O6v—O2—O14v | 152.681 (3) | O4xix—O13—Ce1xix | 54.3485 (3) |
| O6v—O2—O14 | 152.682 (3) | O12iii—O13—O4xix | 58.248 (7) |
| O6v—O2—O14i | 152.669 (3) | O12iii—O13—O4iii | 107.398 (3) |
| O6v—O2—O5v | 43.7297 (15) | O12iii—O13—O4 | 145.4989 (9) |
| O6v—O2—O8v | 100.9468 (17) | O12iii—O13—O11 | 107.246 (8) |
| O6v—O2—O17v | 96.2887 (1) | O12iii—O13—O11xix | 64.902 (3) |
| O6v—O2—O16 | 55.701 (4) | O12iii—O13—O11xvi | 43.5586 (8) |
| O6v—O2—Ce3v | 51.752 (2) | O12iii—O13—Ce1iii | 53.081 (3) |
| O6v—O2—Ce2 | 104.0585 (8) | O12iii—O13—Ce1 | 159.6875 (12) |
| O6v—O2—O2vi | 89.9816 (1) | O12iii—O13—Ce1xix | 80.0898 (14) |
| O6v—O2—O1 | 118.3820 (14) | O12—O13—O12iii | 106.768 (4) |
| O6v—O2—C1 | 104.485 (2) | O12—O13—O4xix | 145.4989 (9) |
| O1v—O2—O6v | 147.086 (2) | O12—O13—O4iii | 58.248 (7) |
| O1v—O2—C3v | 124.506 (5) | O12—O13—O4 | 107.398 (3) |
| O1v—O2—O14v | 58.808 (5) | O12—O13—O11 | 43.5586 (8) |
| O1v—O2—O14 | 58.802 (5) | O12—O13—O11xix | 107.246 (8) |
| O1v—O2—O14i | 58.819 (5) | O12—O13—O11xvi | 64.902 (3) |
| O1v—O2—O5v | 103.564 (3) | O12—O13—Ce1iii | 80.0898 (14) |
| O1v—O2—O8v | 92.206 (6) | O12—O13—Ce1 | 53.081 (3) |
| O1v—O2—O17v | 65.672 (3) | O12—O13—Ce1xix | 159.6875 (12) |
| O1v—O2—O16 | 151.8658 (16) | O12xix—O13—O12 | 106.768 (4) |
| O1v—O2—Ce3v | 118.936 (2) | O12xix—O13—O12iii | 106.768 (4) |
| O1v—O2—Ce2 | 108.736 (3) | O12xix—O13—O4xix | 107.398 (3) |
| O1v—O2—O2vi | 69.422 (3) | O12xix—O13—O4iii | 145.4989 (9) |
| O1v—O2—O1 | 73.838 (3) | O12xix—O13—O4 | 58.248 (7) |
| O1v—O2—C1 | 68.961 (3) | O12xix—O13—O11 | 64.902 (3) |
| O4iii—O3—C2 | 30.207 (4) | O12xix—O13—O11xix | 43.5586 (8) |
| O4viii—O3—O4iii | 60.392 (9) | O12xix—O13—O11xvi | 107.246 (8) |
| O4viii—O3—C2 | 30.207 (4) | O12xix—O13—Ce1iii | 159.6875 (12) |
| Ce1vi—O3—O4viii | 79.987 (8) | O12xix—O13—Ce1 | 80.0898 (14) |
| Ce1vi—O3—O4iii | 139.9486 (12) | O12xix—O13—Ce1xix | 53.081 (3) |
| Ce1vi—O3—C2 | 110.107 (3) | Ce2v—O14—O14i | 149.0662 (1) |
| Ce1—O3—Ce1vi | 138.078 (7) | Ce2i—O14—Ce2v | 119.5893 (1) |
| Ce1—O3—O4viii | 139.9486 (12) | Ce2—O14—Ce2v | 119.5887 (1) |
| Ce1—O3—O4iii | 79.987 (8) | O8v—O14—Ce2 | 70.3681 (2) |
| Ce1—O3—C2 | 110.107 (3) | O8v—O14—Ce2i | 145.250 (5) |
| C2xix—O3—Ce1 | 80.8397 (14) | O8v—O14—Ce2v | 54.3309 (10) |
| C2xix—O3—Ce1vi | 80.8397 (14) | O8i—O14—O8v | 97.472 (6) |
| C2xix—O3—O4viii | 126.3958 (19) | O8i—O14—Ce2 | 145.237 (5) |
| C2xix—O3—O4iii | 126.3958 (19) | O8i—O14—Ce2i | 54.3210 (10) |
| C2xix—O3—C2 | 132.482 | O8i—O14—Ce2v | 70.3783 (2) |
| O4vi—O3—C2xix | 25.597 (3) | O8i—O14—O14v | 82.3918 (3) |
| O4vi—O3—Ce1 | 98.412 (6) | O8—O14—O8i | 97.450 (6) |
| O4vi—O3—Ce1vi | 55.6339 (17) | O8—O14—O8v | 97.454 (6) |
| O4vi—O3—O4viii | 118.180 (7) | O8—O14—Ce2 | 54.3085 (10) |
| O4vi—O3—O4iii | 148.7666 (8) | O8—O14—Ce2i | 70.3504 (2) |
| O4vi—O3—C2 | 139.4551 (17) | O8—O14—Ce2v | 145.252 (5) |
| O4—O3—O4vi | 44.738 (7) | O8—O14—O14v | 47.405 (2) |
| O4—O3—C2xix | 25.597 (3) | O2v—O14—O8 | 146.7904 (11) |
| O4—O3—Ce1 | 55.6339 (17) | O2v—O14—O8i | 58.571 (8) |
| O4—O3—Ce1vi | 98.412 (6) | O2v—O14—O8v | 107.572 (3) |
| O4—O3—O4viii | 148.7666 (8) | O2v—O14—Ce2 | 155.553 (3) |
| O4—O3—O4iii | 118.180 (7) | O2v—O14—Ce2i | 76.6885 (10) |
| O4—O3—C2 | 139.4551 (17) | O2v—O14—Ce2v | 53.241 (2) |
| O17ix—O3—O4 | 136.5832 (14) | O2v—O14—O14v | 102.9520 (4) |
| O17ix—O3—O4vi | 106.150 (6) | O2—O14—O2v | 104.086 (4) |
| O17ix—O3—C2xix | 131.457 (3) | O2—O14—O8 | 107.538 (3) |
| O17ix—O3—Ce1 | 120.450 (6) | O2—O14—O8i | 146.8266 (11) |
| O17ix—O3—Ce1vi | 53.628 (5) | O2—O14—O8v | 58.570 (8) |
| O17ix—O3—O4viii | 66.568 (4) | O2—O14—Ce2 | 53.230 (2) |
| O17ix—O3—O4iii | 101.227 (5) | O2—O14—Ce2i | 155.527 (3) |
| O17ix—O3—C2 | 83.9598 (4) | O2—O14—Ce2v | 76.6982 (10) |
| O17ii—O3—O17ix | 72.154 (10) | O2i—O14—O2 | 104.059 (4) |
| O17ii—O3—O4 | 106.150 (6) | O2i—O14—O2v | 104.066 (4) |
| O17ii—O3—O4vi | 136.5832 (14) | O2i—O14—O8 | 58.550 (8) |
| O17ii—O3—C2xix | 131.457 (3) | O2i—O14—O8i | 107.539 (3) |
| O17ii—O3—Ce1 | 53.628 (5) | O2i—O14—O8v | 146.7850 (11) |
| O17ii—O3—Ce1vi | 120.450 (6) | O2i—O14—Ce2 | 76.6673 (10) |
| O17ii—O3—O4viii | 101.227 (5) | O2i—O14—Ce2i | 53.218 (2) |
| O17ii—O3—O4iii | 66.568 (4) | O2i—O14—Ce2v | 155.551 (3) |
| O17ii—O3—C2 | 83.9598 (4) | O2i—O14—O14i | 49.3076 (15) |
| O6vi—O3—O17ii | 81.261 (5) | O1v—O14—O2i | 103.153 (9) |
| O6vi—O3—O17ix | 55.6851 (18) | O1v—O14—O2 | 62.863 (3) |
| O6vi—O3—O4 | 80.954 (3) | O1v—O14—O2v | 42.5738 (11) |
| O6vi—O3—O4vi | 64.9528 (17) | O1v—O14—O8 | 158.1834 (5) |
| O6vi—O3—C2xix | 83.6314 (1) | O1v—O14—O8i | 99.772 (7) |
| O6vi—O3—Ce1 | 90.621 (7) | O1v—O14—O8v | 93.491 (7) |
| O6vi—O3—Ce1vi | 50.0433 (2) | O1v—O14—Ce2 | 113.0616 (15) |
| O6vi—O3—O4viii | 118.333 (6) | O1v—O14—Ce2i | 109.7061 (11) |
| O6vi—O3—O4iii | 145.7234 (8) | O1v—O14—Ce2v | 54.845 (6) |
| O6vi—O3—C2 | 139.5517 (15) | O1v—O14—O14i | 123.783 (4) |
| O6—O3—O6vi | 40.933 (7) | O1—O14—O1v | 66.021 (8) |
| O6—O3—O17ii | 55.6851 (18) | O1—O14—O2i | 62.846 (3) |
| O6—O3—O17ix | 81.261 (5) | O1—O14—O2 | 42.5667 (11) |
| O6—O3—O4 | 64.9528 (17) | O1—O14—O2v | 103.163 (9) |
| O6—O3—O4vi | 80.954 (3) | O1—O14—O8 | 93.457 (7) |
| O6—O3—C2xix | 83.6314 (1) | O1—O14—O8i | 158.2012 (5) |
| O6—O3—Ce1 | 50.0433 (2) | O1—O14—O8v | 99.761 (7) |
| O6—O3—Ce1vi | 90.621 (7) | O1—O14—Ce2 | 54.827 (6) |
| O6—O3—O4viii | 145.7234 (8) | O1—O14—Ce2i | 113.0400 (15) |
| O6—O3—O4iii | 118.333 (6) | O1—O14—Ce2v | 109.7157 (11) |
| O6—O3—C2 | 139.5517 (15) | O1x—O14—O1 | 66.012 (8) |
| O3xix—O4—C2xix | 30.7598 (1) | O1x—O14—O1v | 66.021 (8) |
| O4vi—O4—O3xix | 59.804 (4) | O1x—O14—O2i | 42.5606 (11) |
| O4vi—O4—C2xix | 29.068 (4) | O1x—O14—O2 | 103.155 (9) |
| Ce1—O4—O4vi | 118.636 (4) | O1x—O14—O2v | 62.858 (3) |
| Ce1—O4—O3xix | 121.577 (3) | O1x—O14—O8 | 99.738 (7) |
| Ce1—O4—C2xix | 124.405 (3) | O1x—O14—O8i | 93.473 (7) |
| Ce2i—O4—Ce1 | 107.315 (7) | O1x—O14—O8v | 158.2146 (5) |
| Ce2i—O4—O4vi | 121.820 (5) | O1x—O14—Ce2 | 109.6839 (11) |
| Ce2i—O4—O3xix | 121.554 (3) | O1x—O14—Ce2i | 54.827 (6) |
| Ce2i—O4—C2xix | 128.183 (4) | O1x—O14—Ce2v | 113.0717 (15) |
| O16i—O4—Ce2i | 54.116 (4) | Ce3ii—O15—O15iv | 92.5393 (1) |
| O16i—O4—Ce1 | 54.511 (3) | Ce3iv—O15—Ce3ii | 119.2634 (3) |
| O16i—O4—O4vi | 138.003 (5) | Ce3—O15—Ce3iv | 119.2199 (3) |
| O16i—O4—O3xix | 162.1872 (6) | Ce3—O15—Ce3ii | 119.2221 (3) |
| O16i—O4—C2xix | 166.9973 (8) | O5ii—O15—Ce3 | 112.6239 (11) |
| O3—O4—O16i | 103.575 (4) | O5ii—O15—Ce3iv | 112.0623 (10) |
| O3—O4—Ce2i | 156.3470 (4) | O5ii—O15—Ce3ii | 56.343 (6) |
| O3—O4—Ce1 | 53.878 (7) | O5ii—O15—O15ii | 123.878 (4) |
| O3—O4—O4vi | 67.631 (4) | O5xviii—O15—O5ii | 65.593 (8) |
| O3—O4—O3xix | 82.098 (3) | O5xviii—O15—Ce3 | 112.0294 (10) |
| O3—O4—C2xix | 71.541 (4) | O5xviii—O15—Ce3iv | 56.342 (6) |
| O17i—O4—O3 | 150.7229 (1) | O5xviii—O15—Ce3ii | 112.6562 (11) |
| O17i—O4—O16i | 101.251 (5) | O5—O15—O5xviii | 65.585 (8) |
| O17i—O4—Ce2i | 52.4576 (5) | O5—O15—O5ii | 65.585 (8) |
| O17i—O4—Ce1 | 137.099 (6) | O5—O15—Ce3 | 56.324 (6) |
| O17i—O4—O4vi | 102.892 (2) | O5—O15—Ce3iv | 112.6328 (11) |
| O17i—O4—O3xix | 69.711 (4) | O5—O15—Ce3ii | 112.0412 (10) |
| O17i—O4—C2xix | 87.123 (4) | O5—O15—O15iv | 56.102 (4) |
| O12xix—O4—O17i | 56.1243 (12) | O10iv—O15—O5 | 157.9793 (4) |
| O12xix—O4—O3 | 127.1113 (13) | O10iv—O15—O5xviii | 93.171 (8) |
| O12xix—O4—O16i | 59.500 (8) | O10iv—O15—O5ii | 101.324 (6) |
| O12xix—O4—Ce2i | 52.425 (4) | O10iv—O15—Ce3 | 143.657 (5) |
| O12xix—O4—Ce1 | 81.312 (7) | O10iv—O15—Ce3iv | 53.9975 (8) |
| O12xix—O4—O4vi | 158.275 (4) | O10iv—O15—Ce3ii | 69.5063 (1) |
| O12xix—O4—O3xix | 103.490 (7) | O10ii—O15—O10iv | 96.910 (6) |
| O12xix—O4—C2xix | 133.190 (7) | O10ii—O15—O5 | 101.288 (6) |
| O13—O4—O12xix | 61.563 (5) | O10ii—O15—O5xviii | 157.9644 (4) |
| O13—O4—O17i | 97.026 (3) | O10ii—O15—O5ii | 93.155 (8) |
| O13—O4—O3 | 68.714 (6) | O10ii—O15—Ce3 | 69.4791 (1) |
| O13—O4—O16i | 88.112 (8) | O10ii—O15—Ce3iv | 143.671 (5) |
| O13—O4—Ce2i | 113.573 (9) | O10ii—O15—Ce3ii | 53.9861 (8) |
| O13—O4—Ce1 | 52.846 (3) | O10—O15—O10ii | 96.888 (6) |
| O13—O4—O4vi | 121.996 (5) | O10—O15—O10iv | 96.906 (6) |
| O13—O4—O3xix | 78.146 (7) | O10—O15—O5 | 93.137 (8) |
| O13—O4—C2xix | 100.832 (8) | O10—O15—O5xviii | 101.299 (6) |
| Ce1xix—O4—O13 | 49.0432 (19) | O10—O15—O5ii | 157.9469 (4) |
| Ce1xix—O4—O12xix | 49.9723 (12) | O10—O15—Ce3 | 53.9753 (8) |
| Ce1xix—O4—O17i | 49.9141 (6) | O10—O15—Ce3iv | 69.4877 (1) |
| Ce1xix—O4—O3 | 106.836 (2) | O10—O15—Ce3ii | 143.661 (5) |
| Ce1xix—O4—O16i | 108.066 (9) | O10—O15—O15ii | 34.844 (4) |
| Ce1xix—O4—Ce2i | 89.482 (4) | O10—O15—O15iv | 79.8674 (5) |
| Ce1xix—O4—Ce1 | 100.042 (5) | O6ii—O15—O10 | 146.6261 (11) |
| Ce1xix—O4—O4vi | 113.802 (4) | O6ii—O15—O10ii | 107.530 (3) |
| Ce1xix—O4—O3xix | 54.244 (8) | O6ii—O15—O10iv | 58.523 (8) |
| Ce1xix—O4—C2xix | 84.936 (8) | O6ii—O15—O5 | 103.685 (9) |
| O1x—O4—Ce1xix | 115.4973 (19) | O6ii—O15—O5xviii | 61.872 (3) |
| O1x—O4—O13 | 162.7380 (3) | O6ii—O15—O5ii | 44.2501 (12) |
| O1x—O4—O12xix | 103.338 (5) | O6ii—O15—Ce3 | 156.856 (2) |
| O1x—O4—O17i | 66.285 (3) | O6ii—O15—Ce3iv | 77.4263 (11) |
| O1x—O4—O3 | 128.095 (6) | O6ii—O15—Ce3ii | 53.548 (2) |
| O1x—O4—O16i | 90.856 (5) | O6ii—O15—O15ii | 149.900 (3) |
| O1x—O4—Ce2i | 53.331 (8) | O6iv—O15—O6ii | 104.618 (4) |
| O1x—O4—Ce1 | 137.3266 (12) | O6iv—O15—O10 | 58.503 (8) |
| O1x—O4—O4vi | 68.644 (3) | O6iv—O15—O10ii | 146.5854 (11) |
| O1x—O4—O3xix | 98.899 (4) | O6iv—O15—O10iv | 107.528 (3) |
| O1x—O4—C2xix | 83.374 (5) | O6iv—O15—O5 | 61.855 (3) |
| C1x—O4—O1x | 24.2478 (6) | O6iv—O15—O5xviii | 44.2430 (12) |
| C1x—O4—Ce1xix | 138.7154 (11) | O6iv—O15—O5ii | 103.681 (9) |
| C1x—O4—O13 | 165.0058 (7) | O6iv—O15—Ce3 | 77.3946 (11) |
| C1x—O4—O12xix | 111.816 (3) | O6iv—O15—Ce3iv | 53.535 (2) |
| C1x—O4—O17i | 88.8098 (16) | O6iv—O15—Ce3ii | 156.880 (2) |
| C1x—O4—O3 | 111.607 (4) | O6iv—O15—O15ii | 46.5982 (16) |
| C1x—O4—O16i | 77.183 (7) | O6—O15—O6iv | 104.591 (4) |
| C1x—O4—Ce2i | 59.753 (7) | O6—O15—O6ii | 104.612 (4) |
| C1x—O4—Ce1 | 114.369 (2) | O6—O15—O10 | 107.496 (3) |
| C1x—O4—O4vi | 69.543 (3) | O6—O15—O10ii | 58.503 (8) |
| C1x—O4—O3xix | 116.848 (6) | O6—O15—O10iv | 146.6225 (11) |
| C1x—O4—C2xix | 93.222 (7) | O6—O15—O5 | 44.2362 (12) |
| O6—O5—C3 | 29.324 (4) | O6—O15—O5xviii | 103.675 (9) |
| O6vi—O5—O6 | 58.527 (9) | O6—O15—O5ii | 61.860 (3) |
| O6vi—O5—C3 | 29.324 (4) | O6—O15—Ce3 | 53.525 (2) |
| Ce3vi—O5—O6vi | 61.702 (5) | O6—O15—Ce3iv | 156.852 (2) |
| Ce3vi—O5—O6 | 118.490 (4) | O6—O15—Ce3ii | 77.4061 (11) |
| Ce3vi—O5—C3 | 89.6415 (1) | O6—O15—O15ii | 79.7232 (3) |
| Ce3—O5—Ce3vi | 153.211 (5) | Ce2—O16—Ce1v | 116.455 (3) |
| Ce3—O5—O6vi | 118.490 (4) | Ce3v—O16—Ce2 | 109.778 (2) |
| Ce3—O5—O6 | 61.702 (5) | Ce3v—O16—Ce1v | 109.321 (3) |
| Ce3—O5—C3 | 89.6415 (1) | O6v—O16—Ce3v | 56.9826 (4) |
| C3xviii—O5—Ce3 | 97.2823 (12) | O6v—O16—Ce2 | 115.020 (8) |
| C3xviii—O5—Ce3vi | 97.2823 (12) | O6v—O16—Ce1v | 56.1509 (17) |
| C3xviii—O5—O6vi | 136.609 (3) | O2—O16—O6v | 67.774 (8) |
| C3xviii—O5—O6 | 136.609 (3) | O2—O16—Ce3v | 58.7371 (6) |
| C3xviii—O5—C3 | 148.374 | O2—O16—Ce2 | 56.5030 (7) |
| O2i—O5—C3xviii | 130.3207 (12) | O2—O16—Ce1v | 111.212 (8) |
| O2i—O5—Ce3 | 55.0755 (13) | O4v—O16—O2 | 70.397 (8) |
| O2i—O5—Ce3vi | 98.642 (6) | O4v—O16—O6v | 72.106 (8) |
| O2i—O5—O6vi | 91.877 (4) | O4v—O16—Ce3v | 117.374 (8) |
| O2i—O5—O6 | 70.706 (3) | O4v—O16—Ce2 | 60.3963 (11) |
| O2i—O5—C3 | 78.3561 (3) | O4v—O16—Ce1v | 57.6204 (19) |
| O2x—O5—O2i | 43.614 (7) | O12iv—O16—O4v | 62.713 (7) |
| O2x—O5—C3xviii | 130.3207 (12) | O12iv—O16—O2 | 109.2648 (15) |
| O2x—O5—Ce3 | 98.642 (6) | O12iv—O16—O6v | 131.7652 (10) |
| O2x—O5—Ce3vi | 55.0755 (13) | O12iv—O16—Ce3v | 163.7652 (1) |
| O2x—O5—O6vi | 70.706 (3) | O12iv—O16—Ce2 | 55.099 (2) |
| O2x—O5—O6 | 91.877 (4) | O12iv—O16—Ce1v | 84.7280 (18) |
| O2x—O5—C3 | 78.3561 (3) | O10xxi—O16—O12iv | 124.442 (2) |
| O15xviii—O5—O2x | 106.476 (8) | O10xxi—O16—O4v | 116.5344 (8) |
| O15xviii—O5—O2i | 149.6999 (13) | O10xxi—O16—O2 | 122.8147 (1) |
| O15xviii—O5—C3xviii | 68.856 (2) | O10xxi—O16—O6v | 62.712 (7) |
| O15xviii—O5—Ce3 | 154.676 (3) | O10xxi—O16—Ce3v | 71.0059 (16) |
| O15xviii—O5—Ce3vi | 52.094 (7) | O10xxi—O16—Ce2 | 176.9096 (3) |
| O15xviii—O5—O6vi | 68.538 (5) | O10xxi—O16—Ce1v | 60.660 (3) |
| O15xviii—O5—O6 | 113.393 (5) | O8v—O16—O10xxi | 110.8188 (15) |
| O15xviii—O5—C3 | 92.2522 (2) | O8v—O16—O12iv | 109.5526 (15) |
| O15iv—O5—O15xviii | 102.588 (10) | O8v—O16—O4v | 125.5057 (2) |
| O15iv—O5—O2x | 149.6999 (13) | O8v—O16—O2 | 61.956 (7) |
| O15iv—O5—O2i | 106.476 (8) | O8v—O16—O6v | 109.8427 (14) |
| O15iv—O5—C3xviii | 68.856 (2) | O8v—O16—Ce3v | 56.096 (2) |
| O15iv—O5—Ce3 | 52.094 (7) | O8v—O16—Ce2 | 71.7400 (17) |
| O15iv—O5—Ce3vi | 154.676 (3) | O8v—O16—Ce1v | 165.3829 (4) |
| O15iv—O5—O6vi | 113.393 (5) | O9v—O16—O8v | 65.9361 (11) |
| O15iv—O5—O6 | 68.538 (5) | O9v—O16—O10xxi | 47.2690 (1) |
| O15iv—O5—C3 | 92.2522 (2) | O9v—O16—O12iv | 129.743 (7) |
| O15ix—O5—O15iv | 102.587 (10) | O9v—O16—O4v | 162.2969 (8) |
| O15ix—O5—O15xviii | 0.0240 (1) | O9v—O16—O2 | 110.502 (6) |
| O15ix—O5—O2x | 106.481 (8) | O9v—O16—O6v | 91.626 (9) |
| O15ix—O5—O2i | 149.7077 (13) | O9v—O16—Ce3v | 54.959 (7) |
| O15ix—O5—C3xviii | 68.834 (2) | O9v—O16—Ce2 | 135.7052 (2) |
| O15ix—O5—Ce3 | 154.675 (3) | O9v—O16—Ce1v | 107.723 (3) |
| O15ix—O5—Ce3vi | 52.095 (7) | O7—O16—O9v | 83.807 (7) |
| O15ix—O5—O6vi | 68.561 (5) | O7—O16—O8v | 45.7675 (2) |
| O15ix—O5—O6 | 113.416 (5) | O7—O16—O10xxi | 126.283 (7) |
| O15ix—O5—C3 | 92.2762 (2) | O7—O16—O12iv | 66.3854 (12) |
| O15ii—O5—O15ix | 102.586 (10) | O7—O16—O4v | 113.882 (6) |
| O15ii—O5—O15iv | 0.0240 (1) | O7—O16—O2 | 90.455 (9) |
| O15ii—O5—O15xviii | 102.587 (10) | O7—O16—O6v | 154.6495 (16) |
| O15ii—O5—O2x | 149.7077 (13) | O7—O16—Ce3v | 101.157 (2) |
| O15ii—O5—O2i | 106.481 (8) | O7—O16—Ce2 | 56.702 (7) |
| O15ii—O5—C3xviii | 68.834 (2) | O7—O16—Ce1v | 148.6845 (1) |
| O15ii—O5—Ce3 | 52.095 (7) | C5xxii—O16—O7 | 100.979 (9) |
| O15ii—O5—Ce3vi | 154.675 (3) | C5xxii—O16—O9v | 26.0922 (16) |
| O15ii—O5—O6vi | 113.416 (5) | C5xxii—O16—O8v | 91.942 (3) |
| O15ii—O5—O6 | 68.561 (5) | C5xxii—O16—O10xxi | 25.396 (2) |
| O15ii—O5—C3 | 92.2762 (2) | C5xxii—O16—O12iv | 120.634 (5) |
| O15vi—O5—O15ii | 102.570 (10) | C5xxii—O16—O4v | 140.500 (3) |
| O15vi—O5—O15ix | 0.0204 (1) | C5xxii—O16—O2 | 129.315 (4) |
| O15vi—O5—O15iv | 102.571 (10) | C5xxii—O16—O6v | 84.474 (10) |
| O15vi—O5—O15xviii | 0.0199 (1) | C5xxii—O16—Ce3v | 70.598 (5) |
| O15vi—O5—O2x | 106.494 (8) | C5xxii—O16—Ce2 | 157.6434 (18) |
| O15vi—O5—O2i | 149.7190 (13) | C5xxii—O16—Ce1v | 82.962 (5) |
| O15vi—O5—C3xviii | 68.838 (2) | C4v—O16—C5xxii | 87.277 (6) |
| O15vi—O5—Ce3 | 154.659 (3) | C4v—O16—O7 | 24.8799 (15) |
| O15vi—O5—Ce3vi | 52.110 (7) | C4v—O16—O9v | 64.702 (4) |
| O15vi—O5—O6vi | 68.554 (5) | C4v—O16—O8v | 24.782 (2) |
| O15vi—O5—O6 | 113.398 (5) | C4v—O16—O10xxi | 111.597 (4) |
| O15vi—O5—C3 | 92.2639 (2) | C4v—O16—O12iv | 91.226 (3) |
| O15—O5—O15vi | 102.555 (10) | C4v—O16—O4v | 131.854 (4) |
| O15—O5—O15ii | 0.0204 (1) | C4v—O16—O2 | 83.166 (10) |
| O15—O5—O15ix | 102.570 (10) | C4v—O16—O6v | 133.416 (3) |
| O15—O5—O15iv | 0.0199 (1) | C4v—O16—Ce3v | 77.038 (4) |
| O15—O5—O15xviii | 102.571 (10) | C4v—O16—Ce2 | 71.465 (5) |
| O15—O5—O2x | 149.7190 (13) | C4v—O16—Ce1v | 165.6060 (15) |
| O15—O5—O2i | 106.494 (8) | O11v—O16—C4v | 110.266 (9) |
| O15—O5—C3xviii | 68.838 (2) | O11v—O16—C5xxii | 60.155 (4) |
| O15—O5—Ce3 | 52.110 (7) | O11v—O16—O7 | 99.222 (8) |
| O15—O5—Ce3vi | 154.659 (3) | O11v—O16—O9v | 82.088 (6) |
| O15—O5—O6vi | 113.398 (5) | O11v—O16—O8v | 132.633 (7) |
| O15—O5—O6 | 68.554 (5) | O11v—O16—O10xxi | 59.5288 (8) |
| O15—O5—C3 | 92.2639 (2) | O11v—O16—O12iv | 65.1525 (11) |
| O6xviii—O5—O15 | 92.961 (5) | O11v—O16—O4v | 95.108 (8) |
| O6xviii—O5—O15vi | 59.525 (2) | O11v—O16—O2 | 165.0132 (2) |
| O6xviii—O5—O15ii | 92.958 (5) | O11v—O16—O6v | 104.840 (7) |
| O6xviii—O5—O15ix | 59.513 (2) | O11v—O16—Ce3v | 129.3030 (6) |
| O6xviii—O5—O15iv | 92.979 (5) | O11v—O16—Ce2 | 120.2245 (13) |
| O6xviii—O5—O15xviii | 59.537 (2) | O11v—O16—Ce1v | 55.561 (8) |
| O6xviii—O5—O2x | 108.957 (4) | Ce2—O17—Ce3 | 114.113 (3) |
| O6xviii—O5—O2i | 126.2239 (14) | Ce1iv—O17—Ce2 | 107.1224 (19) |
| O6xviii—O5—C3xviii | 24.181 (3) | Ce1iv—O17—Ce3 | 115.234 (2) |
| O6xviii—O5—Ce3 | 115.181 (3) | O12iv—O17—Ce1iv | 56.9200 (1) |
| O6xviii—O5—Ce3vi | 74.258 (4) | O12iv—O17—Ce2 | 56.4163 (11) |
| O6xviii—O5—O6vi | 125.720 (7) | O12iv—O17—Ce3 | 112.336 (8) |
| O6xviii—O5—O6 | 159.0602 (2) | O8—O17—O12iv | 69.705 (8) |
| O6xviii—O5—C3 | 151.767 (2) | O8—O17—Ce1iv | 118.309 (7) |
| O6iv—O5—O6xviii | 41.972 (7) | O8—O17—Ce2 | 57.4639 (13) |
| O6iv—O5—O15 | 59.525 (2) | O8—O17—Ce3 | 58.6014 (16) |
| O6iv—O5—O15vi | 92.961 (5) | O10—O17—O8 | 72.509 (8) |
| O6iv—O5—O15ii | 59.513 (2) | O10—O17—O12iv | 68.464 (8) |
| O6iv—O5—O15ix | 92.958 (5) | O10—O17—Ce1iv | 61.3787 (6) |
| O6iv—O5—O15iv | 59.537 (2) | O10—O17—Ce2 | 114.192 (8) |
| O6iv—O5—O15xviii | 92.979 (5) | O10—O17—Ce3 | 57.0140 (15) |
| O6iv—O5—O2x | 126.2239 (14) | O2i—O17—O10 | 113.5901 (11) |
| O6iv—O5—O2i | 108.957 (4) | O2i—O17—O8 | 62.846 (7) |
| O6iv—O5—C3xviii | 24.181 (3) | O2i—O17—O12iv | 127.9074 (5) |
| O6iv—O5—Ce3 | 74.258 (4) | O2i—O17—Ce1iv | 172.4223 (1) |
| O6iv—O5—Ce3vi | 115.181 (3) | O2i—O17—Ce2 | 79.9470 (17) |
| O6iv—O5—O6vi | 159.0602 (2) | O2i—O17—Ce3 | 58.298 (3) |
| O6iv—O5—O6 | 125.720 (7) | O6iv—O17—O2i | 119.0939 (18) |
| O6iv—O5—C3 | 151.767 (2) | O6iv—O17—O10 | 62.300 (7) |
| O6vi—O6—C3 | 29.271 (4) | O6iv—O17—O8 | 130.9954 (8) |
| O5—O6—O6vi | 60.737 (4) | O6iv—O17—O12iv | 107.5822 (17) |
| O5—O6—C3 | 31.5978 (1) | O6iv—O17—Ce1iv | 53.992 (2) |
| Ce1—O6—O5 | 167.1642 (6) | O6iv—O17—Ce2 | 160.8261 (1) |
| Ce1—O6—O6vi | 119.721 (4) | O6iv—O17—Ce3 | 80.6192 (18) |
| Ce1—O6—C3 | 146.4943 (5) | O4v—O17—O6iv | 105.9960 (14) |
| Ce3—O6—Ce1 | 108.727 (8) | O4v—O17—O2i | 119.8010 (18) |
| Ce3—O6—O5 | 66.187 (9) | O4v—O17—O10 | 122.1115 (1) |
| Ce3—O6—O6vi | 124.934 (5) | O4v—O17—O8 | 113.6528 (10) |
| Ce3—O6—C3 | 96.234 (9) | O4v—O17—O12iv | 62.176 (7) |
| O16i—O6—Ce3 | 56.702 (5) | O4v—O17—Ce1iv | 67.1743 (16) |
| O16i—O6—Ce1 | 55.793 (4) | O4v—O17—Ce2 | 58.546 (3) |
| O16i—O6—O5 | 114.457 (5) | O4v—O17—Ce3 | 172.2465 (6) |
| O16i—O6—O6vi | 138.988 (5) | O3xviii—O17—O4v | 43.7209 (4) |
| O16i—O6—C3 | 131.257 (6) | O3xviii—O17—O6iv | 65.2125 (11) |
| O17ii—O6—O16i | 102.930 (5) | O3xviii—O17—O2i | 129.089 (7) |
| O17ii—O6—Ce3 | 126.105 (6) | O3xviii—O17—O10 | 111.597 (6) |
| O17ii—O6—Ce1 | 55.4436 (7) | O3xviii—O17—O8 | 156.4651 (13) |
| O17ii—O6—O5 | 137.3094 (1) | O3xviii—O17—O12iv | 89.855 (9) |
| O17ii—O6—O6vi | 103.146 (2) | O3xviii—O17—Ce1iv | 53.068 (6) |
| O17ii—O6—C3 | 124.8427 (8) | O3xviii—O17—Ce2 | 101.844 (3) |
| O10ii—O6—O17ii | 57.6169 (8) | O3xviii—O17—Ce3 | 143.8805 (3) |
| O10ii—O6—O16i | 60.828 (8) | C2xviii—O17—O3xviii | 24.1798 (14) |
| O10ii—O6—Ce3 | 70.020 (7) | C2xviii—O17—O4v | 23.871 (2) |
| O10ii—O6—Ce1 | 59.763 (4) | C2xviii—O17—O6iv | 89.365 (3) |
| O10ii—O6—O5 | 125.212 (3) | C2xviii—O17—O2i | 117.383 (5) |
| O10ii—O6—O6vi | 158.488 (3) | C2xviii—O17—O10 | 128.893 (4) |
| O10ii—O6—C3 | 153.137 (4) | C2xviii—O17—O8 | 136.011 (3) |
| O15iv—O6—O10ii | 60.372 (3) | C2xviii—O17—O12iv | 83.146 (10) |
| O15iv—O6—O17ii | 88.7766 (18) | C2xviii—O17—Ce1iv | 67.539 (4) |
| O15iv—O6—O16i | 97.647 (7) | C2xviii—O17—Ce2 | 78.793 (4) |
| O15iv—O6—Ce3 | 52.394 (2) | C2xviii—O17—Ce3 | 163.4768 (15) |
| Symmetry codes: (i) −y+1, x−y, z; (ii) −x+y, −x+1, z; (iii) −y, x−y, z; (iv) −y+1, x−y+1, z; (v) −x+y+1, −x+1, z; (vi) x, y, −z; (vii) −x+y+1, −x+1, −z; (viii) −y, x−y, −z; (ix) −x+y, −x+1, −z; (x) −y+1, x−y, −z; (xi) x, y, −z+1; (xii) −y+1, x−y, −z+1; (xiii) −y+1, x−y+1, −z+1; (xiv) −x+y+1, −x+2, z; (xv) −x+y+1, −x+2, −z+1; (xvi) −y, x−y, −z+1; (xvii) −x+y, −x+1, −z+1; (xviii) −y+1, x−y+1, −z; (xix) −x+y, −x, z; (xx) −x+y+1, −x+1, −z+1; (xxi) −y+2, x−y+1, z; (xxii) −y+2, x−y+1, −z+1. |
Acknowledgements
Use of the Stanford Synchrotron Radiation Lightsource, SLAC National Accelerator Laboratory, is supported by the U.S. Department of Energy, Office of Science, Office of Basic Energy Sciences under Contract No. DE-AC02–76SF00515. The National Renewable Energy Laboratory is operated by Alliance for Sustainable Energy, LLC, for the U.S. Department of Energy (DOE) under Contract No. DE-AC36–08GO28308.
Funding information
Funding for this research was provided by: U.S. Department of Energy's Office of Energy Efficiency & Renewable Energy, Hydrogen Fuel Cell Technology Office through Memorandum of Purchase Order 23-0068-IE with the National Renewable Energy Laboratory.
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