| Literature DB >> 22719275 |
Hasna Jerbi1, Mourad Hidouri, Ben Amara Mongi.
Abstract
Investigations of the quasi-ternary system Na(3)PO(4)-Mg(3)(PO(4))(2)-NdPO(4) allowed us to obtain the new phosphate hepta-sodium trideca-magnesium neodymium dodeca-kis-phosphate, Na(7)Mg(13)Nd(PO(4))(12), by applying a flux method. The crystal structure is isotypic with that of the previously reported Na(7)Mg(13)Ln(PO(4))(12) (Ln = Eu, La) compounds. It consists of a complex three-dimensional framework built up from an NdO(8) polyhedron (m symmetry), an MO(6) octa-hedron statistically occupied by M = Mg and Na, and eight MgO(x) (x = 5, 6) polyhedra (four with site symmetry m), linked either directely by sharing corners, edges and faces, or by one of the eight unique PO(4) tetra-hedra through common corners. Two of the PO(4) tetra-hedra are statisticaly disordered over a mirror plane. The whole structure can be described as resutling from an assembly of two types of structural units, viz [Mg(4)MP(4)O(22)](∞) (2) layers extending parallel to (100) and stacked along [100], and [Mg(4)NdP(4)O(36)](∞) (1) undulating chains running along the [010] direction. The six different Na(+) cations (five with site symmetry m and one with 0.5 occupancy) are situated in six distinct cavities delimited by the framework. The structure was refined from data of a racemic twin.Entities:
Year: 2012 PMID: 22719275 PMCID: PMC3379054 DOI: 10.1107/S1600536812017850
Source DB: PubMed Journal: Acta Crystallogr Sect E Struct Rep Online ISSN: 1600-5368
| Na7Mg13Nd(PO4)12 | |
| Melting point: 1007 K | |
| Orthorhombic, | Mo |
| Hall symbol: C 2c -2 | Cell parameters from 44599 reflections |
| θ = 2.4–40° | |
| µ = 2.38 mm−1 | |
| Parallelepiped, purple | |
| 0.40 × 0.22 × 0.17 mm | |
| Bruker–Nonius KappaCCD diffractometer | 11948 independent reflections |
| Radiation source: fine-focus sealed tube | 8244 reflections with |
| Graphite monochromator | |
| non–profiled ω scans | θmax = 40.0°, θmin = 3.2° |
| Absorption correction: analytical (Alcock, 1970) | |
| 44522 measured reflections |
| Refinement on | Primary atom site location: structure-invariant direct methods |
| Least-squares matrix: full | Secondary atom site location: difference Fourier map |
| (Δ/σ)max = 0.001 | |
| Δρmax = 2.37 e Å−3 | |
| 11948 reflections | Δρmin = −2.23 e Å−3 |
| 424 parameters | Absolute structure: Flack (1983), 5847 Friedel pairs |
| 1 restraint | Flack parameter: 0.257 (9) |
| Geometry. All e.s.d.'s (except the e.s.d. in the dihedral angle between two l.s. planes) are estimated using the full covariance matrix. The cell e.s.d.'s are taken into account individually in the estimation of e.s.d.'s in distances, angles and torsion angles; correlations between e.s.d.'s in cell parameters are only used when they are defined by crystal symmetry. An approximate (isotropic) treatment of cell e.s.d.'s is used for estimating e.s.d.'s involving l.s. planes. |
| Refinement. Refinement of |
| Occ. (<1) | |||||
| Nd | 0.0000 | 0.54408 (2) | 0.000015 (13) | 0.00904 (5) | |
| P1 | 0.21976 (9) | 0.43115 (7) | 0.05989 (4) | 0.00612 (16) | |
| O11 | 0.1824 (3) | 0.3576 (2) | 0.09995 (13) | 0.0116 (6) | |
| O12 | 0.3671 (3) | 0.4462 (2) | 0.05621 (14) | 0.0129 (6) | |
| O13 | 0.1558 (3) | 0.41806 (18) | 0.00077 (17) | 0.0125 (5) | |
| O14 | 0.1526 (3) | 0.5162 (2) | 0.08102 (14) | 0.0112 (5) | |
| P2 | 0.74694 (10) | 0.46442 (7) | 0.22216 (5) | 0.00978 (18) | |
| O21 | 0.7715 (4) | 0.5517 (2) | 0.19519 (16) | 0.0232 (8) | |
| O22 | 0.7106 (3) | 0.4816 (2) | 0.28494 (15) | 0.0191 (7) | |
| O23 | 0.6391 (3) | 0.4113 (2) | 0.19233 (14) | 0.0125 (6) | |
| O24 | 0.8668 (3) | 0.4038 (2) | 0.21746 (13) | 0.0107 (5) | |
| P3 | 0.24602 (11) | 0.70154 (7) | 0.98592 (4) | 0.00913 (18) | |
| O31 | 0.2995 (3) | 0.6688 (2) | 0.04252 (14) | 0.0168 (7) | |
| O32 | 0.1777 (4) | 0.6272 (2) | 0.95352 (15) | 0.0170 (7) | |
| O33 | 0.3605 (3) | 0.7387 (2) | 0.95155 (16) | 0.0153 (6) | |
| O34 | 0.1511 (3) | 0.7784 (2) | 0.98766 (14) | 0.0160 (7) | |
| P4 | 0.23934 (11) | 0.72710 (8) | 0.81954 (5) | 0.0116 (2) | |
| O41 | 0.3634 (4) | 0.6820 (3) | 0.8390 (2) | 0.0337 (12) | |
| O42 | 0.2489 (5) | 0.7603 (3) | 0.75815 (16) | 0.0286 (9) | |
| O43 | 0.1310 (3) | 0.6600 (2) | 0.82915 (14) | 0.0143 (6) | |
| O44 | 0.2043 (4) | 0.8076 (2) | 0.85537 (15) | 0.0210 (8) | |
| P5 | 0.0000 | 0.72322 (10) | 0.11586 (7) | 0.0069 (3) | |
| O51 | 0.0000 | 0.6619 (3) | 0.0654 (2) | 0.0144 (8) | |
| O52 | 0.0000 | 0.8177 (3) | 0.09809 (19) | 0.0105 (8) | |
| O53 | 0.1213 (3) | 0.7066 (2) | 0.15281 (15) | 0.0132 (6) | |
| P6 | 0.5000 | 0.64818 (10) | 0.16991 (6) | 0.0060 (2) | |
| O61 | 0.6206 (3) | 0.7003 (2) | 0.15437 (17) | 0.0180 (7) | |
| O62 | 0.5000 | 0.5682 (3) | 0.1316 (2) | 0.0294 (14) | |
| O63 | 0.5000 | 0.6231 (4) | 0.2330 (2) | 0.0169 (10) | |
| P7 | 0.02504 (19) | 0.55827 (15) | 0.36368 (10) | 0.0078 (5) | 0.50 |
| O71 | 0.0000 | 0.5300 (3) | 0.3018 (2) | 0.0166 (9) | |
| O72X | −0.020 (3) | 0.6490 (5) | 0.3742 (4) | 0.037 (6) | 0.50 |
| O73X | 0.0621 (7) | 0.4980 (6) | 0.3999 (3) | 0.0252 (18) | 0.50 |
| O74X | 0.1652 (7) | 0.5446 (5) | 0.3848 (3) | 0.0177 (12)* | 0.50 |
| P8 | 0.5147 (8) | 0.53079 (15) | 0.39974 (9) | 0.0120 (12) | 0.50 |
| O81 | 0.5000 | 0.5645 (4) | 0.3388 (2) | 0.0255 (13) | |
| O82X | 0.4470 (6) | 0.5929 (4) | 0.4417 (3) | 0.0130 (12) | 0.50 |
| O83X | 0.3373 (6) | 0.5306 (4) | 0.4107 (3) | 0.0141 (12) | 0.50 |
| O84X | 0.5429 (8) | 0.4411 (6) | 0.4069 (4) | 0.037 (2)* | 0.50 |
| Mg1 | 0.0000 | 0.40172 (15) | 0.28024 (9) | 0.0100 (4) | |
| Mg2 | 0.5000 | 0.43819 (13) | 0.13099 (9) | 0.0072 (4) | |
| Mg3 | 0.0000 | 0.85120 (14) | 0.01707 (9) | 0.0082 (4) | |
| Mg4 | 0.0000 | 0.78245 (17) | 0.39476 (10) | 0.0115 (4) | |
| Mg5 | 0.76130 (15) | 0.29805 (10) | 0.17575 (7) | 0.0091 (3) | |
| Mg6 | 0.2319 (3) | 0.63904 (12) | 0.43096 (8) | 0.0284 (5) | |
| Mg7 | 0.34561 (18) | 0.60958 (11) | 0.28670 (8) | 0.0187 (4) | |
| Mg8 | 0.24440 (18) | 0.61726 (10) | 0.11851 (7) | 0.0155 (3) | |
| Mg | 0.2460 (2) | 0.56877 (13) | 0.87518 (8) | 0.0254 (5) | 0.50 |
| Na | 0.2460 (2) | 0.56877 (13) | 0.87518 (8) | 0.0254 (5) | 0.50 |
| Na1 | 0.0000 | 0.0937 (2) | 0.78091 (13) | 0.0195 (6) | |
| Na2 | 0.0000 | 0.2634 (2) | 0.40137 (14) | 0.0226 (7) | |
| Na3 | 0.0000 | 0.4531 (3) | 0.14512 (14) | 0.0235 (8) | |
| Na4 | 0.5000 | 0.4330 (2) | 0.52265 (14) | 0.0230 (6) | |
| Na5 | 0.5000 | 0.7765 (2) | 0.05347 (18) | 0.0352 (9) | |
| Na6 | 0.9685 (5) | 0.6495 (4) | 0.2386 (2) | 0.0455 (19) | 0.50 |
| Nd | 0.00955 (11) | 0.00944 (11) | 0.00815 (11) | 0.000 | 0.000 | 0.00003 (13) |
| P1 | 0.0045 (4) | 0.0058 (4) | 0.0080 (4) | −0.0004 (3) | −0.0007 (3) | 0.0007 (3) |
| O11 | 0.0116 (14) | 0.0103 (14) | 0.0129 (14) | −0.0008 (11) | −0.0013 (11) | 0.0024 (11) |
| O12 | 0.0077 (12) | 0.0131 (15) | 0.0180 (14) | 0.0004 (10) | −0.0045 (11) | 0.0040 (12) |
| O13 | 0.0140 (12) | 0.0133 (12) | 0.0101 (11) | 0.0056 (9) | −0.0042 (14) | −0.0014 (15) |
| O14 | 0.0107 (13) | 0.0078 (12) | 0.0152 (14) | 0.0017 (10) | 0.0009 (11) | −0.0026 (11) |
| P2 | 0.0077 (4) | 0.0110 (5) | 0.0107 (4) | 0.0020 (4) | 0.0012 (3) | 0.0015 (4) |
| O21 | 0.032 (2) | 0.0138 (16) | 0.0238 (18) | −0.0055 (15) | −0.0075 (15) | 0.0097 (14) |
| O22 | 0.0187 (16) | 0.0227 (18) | 0.0158 (16) | 0.0043 (13) | 0.0081 (13) | −0.0005 (14) |
| O23 | 0.0083 (13) | 0.0147 (15) | 0.0146 (15) | 0.0024 (11) | 0.0001 (10) | 0.0006 (12) |
| O24 | 0.0075 (12) | 0.0174 (14) | 0.0073 (12) | 0.0037 (11) | 0.0006 (10) | 0.0014 (11) |
| P3 | 0.0102 (4) | 0.0082 (4) | 0.0090 (4) | −0.0014 (3) | 0.0035 (4) | 0.0002 (3) |
| O31 | 0.0216 (17) | 0.0185 (16) | 0.0102 (14) | −0.0027 (13) | 0.0001 (12) | 0.0042 (12) |
| O32 | 0.0230 (17) | 0.0127 (15) | 0.0152 (15) | −0.0051 (13) | −0.0003 (13) | −0.0008 (12) |
| O33 | 0.0140 (14) | 0.0133 (15) | 0.0187 (15) | 0.0007 (12) | 0.0105 (12) | 0.0022 (12) |
| O34 | 0.0102 (13) | 0.0164 (15) | 0.0213 (17) | 0.0026 (11) | 0.0038 (11) | −0.0065 (12) |
| P4 | 0.0090 (4) | 0.0146 (5) | 0.0113 (5) | 0.0012 (4) | −0.0023 (4) | −0.0070 (4) |
| O41 | 0.0142 (16) | 0.044 (3) | 0.043 (2) | 0.0165 (17) | −0.0161 (17) | −0.036 (2) |
| O42 | 0.041 (2) | 0.031 (2) | 0.0138 (18) | −0.0208 (19) | 0.0055 (17) | −0.0077 (15) |
| O43 | 0.0123 (13) | 0.0217 (17) | 0.0088 (13) | −0.0002 (12) | −0.0021 (11) | −0.0017 (12) |
| O44 | 0.028 (2) | 0.0195 (18) | 0.0151 (16) | 0.0066 (15) | −0.0036 (14) | −0.0102 (13) |
| P5 | 0.0079 (6) | 0.0051 (6) | 0.0076 (6) | 0.000 | 0.000 | 0.0011 (5) |
| O51 | 0.021 (2) | 0.0100 (19) | 0.012 (2) | 0.000 | 0.000 | −0.0024 (16) |
| O52 | 0.015 (2) | 0.0055 (18) | 0.0110 (19) | 0.000 | 0.000 | 0.0003 (15) |
| O53 | 0.0095 (14) | 0.0115 (15) | 0.0185 (15) | −0.0013 (11) | −0.0040 (11) | 0.0006 (12) |
| P6 | 0.0053 (6) | 0.0062 (6) | 0.0065 (6) | 0.000 | 0.000 | 0.0004 (5) |
| O61 | 0.0110 (15) | 0.0175 (17) | 0.0255 (19) | −0.0056 (12) | −0.0036 (13) | 0.0066 (14) |
| O62 | 0.071 (5) | 0.006 (2) | 0.012 (2) | 0.000 | 0.000 | −0.0005 (18) |
| O63 | 0.019 (2) | 0.023 (3) | 0.009 (2) | 0.000 | 0.000 | 0.0034 (18) |
| P7 | 0.0061 (12) | 0.0098 (9) | 0.0075 (8) | 0.0002 (6) | 0.0002 (6) | −0.0024 (7) |
| O71 | 0.027 (3) | 0.014 (2) | 0.0083 (19) | 0.000 | 0.000 | −0.0022 (16) |
| O72X | 0.051 (18) | 0.012 (3) | 0.047 (5) | 0.011 (5) | 0.000 (5) | −0.012 (3) |
| O73X | 0.019 (3) | 0.049 (5) | 0.008 (3) | 0.021 (3) | 0.001 (2) | 0.007 (3) |
| P8 | 0.012 (4) | 0.0146 (9) | 0.0094 (7) | −0.0055 (11) | 0.0032 (9) | −0.0058 (6) |
| O81 | 0.021 (3) | 0.049 (4) | 0.007 (2) | 0.000 | 0.000 | −0.007 (2) |
| O82X | 0.014 (3) | 0.018 (3) | 0.007 (3) | −0.001 (2) | −0.004 (2) | −0.006 (2) |
| O83X | 0.009 (3) | 0.011 (3) | 0.023 (3) | −0.004 (2) | 0.007 (2) | −0.003 (2) |
| Mg1 | 0.0107 (9) | 0.0119 (10) | 0.0072 (9) | 0.000 | 0.000 | 0.0004 (8) |
| Mg2 | 0.0089 (9) | 0.0069 (9) | 0.0057 (8) | 0.000 | 0.000 | −0.0012 (7) |
| Mg3 | 0.0084 (9) | 0.0100 (9) | 0.0063 (8) | 0.000 | 0.000 | 0.0006 (7) |
| Mg4 | 0.0047 (8) | 0.0212 (12) | 0.0085 (9) | 0.000 | 0.000 | 0.0029 (8) |
| Mg5 | 0.0094 (6) | 0.0081 (6) | 0.0097 (6) | 0.0007 (5) | 0.0006 (5) | 0.0002 (5) |
| Mg6 | 0.0638 (15) | 0.0095 (8) | 0.0119 (8) | 0.0020 (9) | 0.0194 (9) | 0.0014 (6) |
| Mg7 | 0.0232 (9) | 0.0122 (8) | 0.0207 (9) | −0.0036 (6) | 0.0076 (7) | −0.0063 (7) |
| Mg8 | 0.0256 (8) | 0.0089 (7) | 0.0121 (7) | −0.0053 (6) | 0.0074 (6) | −0.0026 (6) |
| Mg | 0.0535 (14) | 0.0087 (8) | 0.0140 (8) | 0.0107 (8) | −0.0124 (9) | −0.0020 (7) |
| Na | 0.0535 (14) | 0.0087 (8) | 0.0140 (8) | 0.0107 (8) | −0.0124 (9) | −0.0020 (7) |
| Na1 | 0.0121 (12) | 0.0292 (17) | 0.0172 (14) | 0.000 | 0.000 | −0.0063 (13) |
| Na2 | 0.0154 (14) | 0.0356 (19) | 0.0167 (15) | 0.000 | 0.000 | 0.0073 (14) |
| Na3 | 0.0152 (15) | 0.043 (2) | 0.0125 (14) | 0.000 | 0.000 | 0.0112 (14) |
| Na4 | 0.0312 (17) | 0.0170 (14) | 0.0208 (15) | 0.000 | 0.000 | −0.0035 (12) |
| Na5 | 0.0243 (17) | 0.0295 (19) | 0.052 (2) | 0.000 | 0.000 | −0.0176 (17) |
| Na6 | 0.047 (5) | 0.057 (3) | 0.032 (3) | 0.009 (3) | 0.000 (2) | 0.029 (3) |
| Nd—O51 | 2.379 (5) | P8—Mg6vii | 3.185 (7) |
| Nd—O32i | 2.487 (4) | P8—Nav | 3.219 (7) |
| Nd—O32ii | 2.487 (4) | O81—P8vii | 1.525 (6) |
| Nd—O14iii | 2.499 (3) | O81—Mg7 | 2.121 (4) |
| Nd—O14 | 2.499 (3) | O81—Mg7vii | 2.121 (4) |
| Nd—O73Xiv | 2.513 (7) | O81—Na1x | 2.796 (7) |
| Nd—O73Xv | 2.513 (7) | O82X—O82Xvii | 1.091 (13) |
| Nd—O13iii | 2.525 (3) | O82X—P8vii | 1.428 (7) |
| Nd—O13 | 2.525 (3) | O82X—O83X | 1.652 (9) |
| Nd—P1iii | 3.1834 (12) | O82X—Mg3xiii | 2.037 (6) |
| Nd—P1 | 3.1834 (12) | O82X—Mg6 | 2.342 (7) |
| Nd—Na3 | 3.673 (3) | O82X—Na2xvi | 2.853 (8) |
| P1—O11 | 1.523 (3) | O83X—P8vii | 1.546 (10) |
| P1—O12 | 1.538 (3) | O83X—Nav | 1.984 (7) |
| P1—O13 | 1.545 (4) | O83X—Mgv | 1.984 (7) |
| P1—O14 | 1.565 (3) | O83X—Mg6 | 2.052 (7) |
| P1—Na3 | 3.035 (3) | O84X—O84Xvii | 0.885 (17) |
| P1—Mg8 | 3.197 (2) | O84X—P8vii | 1.517 (10) |
| P1—Na5vi | 3.296 (3) | O84X—Naix | 2.303 (9) |
| O11—Mg5vii | 2.079 (3) | O84X—Mgix | 2.303 (9) |
| O11—Na5vi | 2.507 (4) | O84X—Mg4viii | 2.509 (10) |
| O11—Na3 | 2.613 (4) | O84X—Na4 | 2.745 (10) |
| O12—Mg3viii | 2.206 (4) | Mg1—O24xviii | 2.010 (3) |
| O12—Mg2 | 2.224 (3) | Mg1—O24vii | 2.010 (3) |
| O12—Na4ix | 2.445 (4) | Mg1—O43iv | 2.010 (4) |
| O13—Mg6v | 2.015 (4) | Mg1—O43v | 2.010 (4) |
| O13—Na5vi | 2.981 (5) | Mg1—P2xviii | 3.0952 (17) |
| O14—Mg8 | 2.026 (3) | Mg1—P2vii | 3.0952 (17) |
| O14—Na3 | 2.381 (4) | Mg1—P7iii | 3.119 (3) |
| P2—O21 | 1.511 (4) | Mg1—Na3 | 3.258 (4) |
| P2—O22 | 1.538 (4) | Mg1—Nav | 3.400 (3) |
| P2—O23 | 1.547 (4) | Mg1—Mgv | 3.400 (3) |
| P2—O24 | 1.554 (3) | Mg2—O52viii | 2.015 (5) |
| P2—Mg5 | 2.796 (2) | Mg2—O23vii | 2.070 (4) |
| P2—Mg7vii | 2.868 (2) | Mg2—O12vii | 2.224 (3) |
| P2—Na1x | 3.027 (2) | Mg2—Mg3viii | 2.984 (3) |
| P2—Mg1xi | 3.0952 (17) | Mg2—Na4ix | 3.222 (4) |
| P2—Na3xi | 3.174 (2) | Mg2—Na1x | 3.540 (4) |
| O21—Mg8vii | 2.066 (4) | Mg2—Mg5vii | 3.610 (2) |
| O21—Mg7vii | 2.614 (5) | Mg2—Mg5 | 3.610 (2) |
| O21—Na6 | 2.727 (7) | Mg3—O82Xxxi | 2.037 (6) |
| O22—Mg7vii | 2.062 (4) | Mg3—O82Xxxii | 2.037 (6) |
| O22—Naix | 2.293 (4) | Mg3—O34i | 2.040 (3) |
| O22—Mgix | 2.293 (4) | Mg3—O34ii | 2.040 (3) |
| O22—Na1x | 2.464 (4) | Mg3—O12xxiii | 2.206 (4) |
| O23—Mg2 | 2.070 (4) | Mg3—O12xix | 2.206 (4) |
| O23—Mg5 | 2.191 (4) | Mg3—Mg2xix | 2.984 (3) |
| O23—Na1x | 2.520 (4) | Mg3—Na2iv | 3.234 (4) |
| O24—Mg1xi | 2.010 (3) | Mg3—Na4xxii | 3.338 (4) |
| O24—Mg5 | 2.192 (4) | Mg3—Mg6xxi | 3.421 (3) |
| O24—Na3xi | 2.308 (4) | Mg4—O33xxi | 1.984 (4) |
| P3—O31xii | 1.521 (3) | Mg4—O33xxii | 1.984 (4) |
| P3—O33 | 1.538 (3) | Mg4—O41xxi | 1.995 (4) |
| P3—O34 | 1.540 (3) | Mg4—O41xxii | 1.995 (4) |
| P3—O32 | 1.546 (4) | Mg4—O72Xiii | 2.129 (8) |
| P3—Mg6xiii | 2.789 (2) | Mg4—O84Xxix | 2.509 (10) |
| P3—Na2xiv | 3.260 (2) | Mg4—O84Xxxiii | 2.509 (10) |
| P3—Na5xii | 3.269 (3) | Mg4—Na1iv | 3.279 (4) |
| P3—Na4xv | 3.451 (2) | Mg4—Mg6iii | 3.368 (3) |
| O31—P3ii | 1.521 (3) | Mg4—Mg6 | 3.368 (3) |
| O31—Mg8 | 2.029 (4) | Mg4—Mgxxii | 3.514 (3) |
| O31—Na4ix | 2.638 (4) | Mg5—O61xxiv | 2.004 (4) |
| O31—Na5 | 2.665 (4) | Mg5—O11vii | 2.079 (3) |
| O32—Mg | 2.160 (4) | Mg5—O53viii | 2.089 (4) |
| O32—Ndxii | 2.487 (4) | Mg5—O42ix | 2.130 (4) |
| O32—Na2xiv | 2.775 (5) | Mg5—Mg8viii | 3.104 (2) |
| O33—Mg4xiii | 1.984 (4) | Mg5—Na3xi | 3.508 (3) |
| O33—Mg6xiii | 2.171 (4) | Mg5—Na6xxiv | 3.612 (5) |
| O33—Na5xii | 2.844 (5) | Mg5—Na5viii | 3.786 (4) |
| O34—Mg3xii | 2.040 (3) | Mg6—O13xxv | 2.015 (4) |
| O34—Mg6xiii | 2.200 (4) | Mg6—O44xxii | 2.058 (4) |
| O34—Na2xiv | 2.629 (4) | Mg6—O33xxii | 2.171 (4) |
| P4—O41 | 1.525 (4) | Mg6—O34xxii | 2.200 (4) |
| P4—O42 | 1.528 (4) | Mg6—O72Xiii | 2.56 (2) |
| P4—O43 | 1.540 (4) | Mg6—P3xxii | 2.789 (2) |
| P4—O44 | 1.543 (4) | Mg6—P8vii | 3.185 (7) |
| P4—Mg | 2.773 (2) | Mg7—O22vii | 2.062 (4) |
| P4—Mg7xiii | 2.780 (2) | Mg7—O44xxii | 2.117 (4) |
| P4—Na2xiv | 3.124 (2) | Mg7—O42xxii | 2.332 (5) |
| O41—Mg4xiii | 1.995 (4) | Mg7—O21vii | 2.614 (5) |
| O41—Mg | 2.289 (6) | Mg7—P4xxii | 2.780 (2) |
| O41—Na1xvi | 2.386 (5) | Mg7—P2vii | 2.868 (2) |
| O42—Mg5xv | 2.130 (4) | Mg7—Mg7vii | 3.181 (4) |
| O42—Mg7xiii | 2.332 (5) | Mg7—Na6vii | 3.481 (6) |
| O42—Na6xvii | 2.696 (7) | Mg7—Na1x | 3.525 (4) |
| O43—Mg1xiv | 2.010 (4) | Mg7—Mgv | 3.597 (3) |
| O43—Mg | 2.133 (4) | Mg8—O21vii | 2.066 (4) |
| O43—Na2xiv | 2.465 (4) | Mg8—O61vii | 2.070 (4) |
| O44—Mg6xiii | 2.058 (4) | Mg8—Mg5xix | 3.104 (2) |
| O44—Mg7xiii | 2.117 (4) | Mg8—Na4ix | 3.544 (3) |
| O44—Na2xiv | 2.606 (5) | Mg8—Na6vii | 3.598 (6) |
| P5—O51 | 1.513 (5) | Mg—O74Xxxv | 1.954 (8) |
| P5—O52 | 1.519 (5) | Mg—O83Xxxv | 1.984 (7) |
| P5—O53iii | 1.541 (3) | Mg—O73Xxxv | 2.233 (7) |
| P5—O53 | 1.541 (3) | Mg—O22xv | 2.293 (4) |
| P5—Mg8iii | 3.004 (2) | Mg—O84Xxv | 2.303 (9) |
| P5—Mg8 | 3.004 (2) | Mg—P8xv | 2.962 (7) |
| P5—Mg3 | 3.042 (3) | Mg—P7xxv | 3.018 (3) |
| P5—Na6vii | 3.106 (5) | Mg—Mg1xiv | 3.400 (3) |
| P5—Na6xviii | 3.106 (5) | Na1—O41xxvi | 2.386 (5) |
| O52—Mg3 | 1.964 (5) | Na1—O41vi | 2.386 (5) |
| O52—Mg2xix | 2.015 (5) | Na1—O22xxvii | 2.464 (4) |
| O53—Mg8 | 2.040 (4) | Na1—O22xxviii | 2.464 (4) |
| O53—Mg5xix | 2.089 (4) | Na1—O23xxvii | 2.520 (4) |
| O53—Na6vii | 2.380 (6) | Na1—O23xxviii | 2.520 (4) |
| O53—Na6xviii | 2.699 (6) | Na1—O81xxvii | 2.796 (7) |
| P6—O61vii | 1.524 (4) | Na1—P2xxvii | 3.027 (2) |
| P6—O61 | 1.524 (4) | Na1—P2xxviii | 3.027 (2) |
| P6—O62 | 1.526 (5) | Na1—Mg4xiv | 3.279 (4) |
| P6—O63 | 1.526 (5) | Na1—P8xxviii | 3.384 (4) |
| P6—Mg8 | 2.934 (2) | Na1—P8xxvii | 3.384 (4) |
| P6—Mg8vii | 2.934 (2) | Na2—O43iv | 2.465 (4) |
| P6—Na5 | 3.369 (5) | Na2—O43v | 2.465 (4) |
| O61—Mg5xx | 2.004 (4) | Na2—O44iv | 2.606 (5) |
| O61—Mg8vii | 2.070 (4) | Na2—O44v | 2.606 (5) |
| O61—Na5 | 2.915 (6) | Na2—O34iv | 2.629 (4) |
| O62—Mg2 | 2.011 (6) | Na2—O34v | 2.629 (4) |
| O62—Na4ix | 2.548 (6) | Na2—O32v | 2.775 (5) |
| O62—Mg8 | 2.757 (3) | Na2—O32iv | 2.775 (5) |
| O62—Mg8vii | 2.757 (3) | Na2—O82Xvi | 2.853 (8) |
| O63—Mg7vii | 2.037 (4) | Na2—O82Xxxvi | 2.853 (8) |
| O63—Mg7 | 2.037 (4) | Na2—P4iv | 3.124 (2) |
| P7—P7iii | 0.516 (4) | Na2—P4v | 3.124 (2) |
| P7—O73X | 1.316 (8) | Na3—O24vii | 2.308 (4) |
| P7—O72Xiii | 1.424 (7) | Na3—O24xviii | 2.308 (4) |
| P7—O72X | 1.497 (12) | Na3—O14iii | 2.381 (4) |
| P7—O71 | 1.534 (5) | Na3—O11iii | 2.613 (4) |
| P7—O74X | 1.540 (7) | Na3—P1iii | 3.035 (3) |
| P7—O73Xiii | 1.546 (7) | Na3—P2vii | 3.174 (2) |
| P7—O74Xiii | 2.032 (7) | Na3—P2xviii | 3.174 (2) |
| P7—Mg6 | 2.929 (3) | Na3—Na5vi | 3.470 (5) |
| P7—Nav | 3.018 (3) | Na4—O12xv | 2.445 (4) |
| P7—Mgv | 3.018 (3) | Na4—O12xxv | 2.445 (4) |
| P7—Mg1 | 3.119 (3) | Na4—O62xv | 2.548 (6) |
| O71—P7iii | 1.534 (5) | Na4—O31xxv | 2.638 (4) |
| O71—Mg1 | 2.046 (5) | Na4—O31xv | 2.638 (4) |
| O71—Na6xviii | 2.387 (7) | Na4—O84Xvii | 2.745 (10) |
| O71—Na6vii | 2.387 (7) | Na4—Mg2xv | 3.222 (4) |
| O72X—O72Xiii | 0.41 (6) | Na4—P8vii | 3.251 (4) |
| O72X—P7iii | 1.424 (7) | Na4—Na5xv | 3.319 (5) |
| O72X—Mg4 | 2.129 (8) | Na4—Mg3xiii | 3.338 (4) |
| O72X—Mg6iii | 2.56 (2) | Na5—O11xvi | 2.507 (4) |
| O73X—O73Xiii | 1.279 (14) | Na5—O11xxiii | 2.507 (4) |
| O73X—O74X | 1.332 (11) | Na5—O31vii | 2.665 (4) |
| O73X—P7iii | 1.546 (7) | Na5—O33ii | 2.844 (5) |
| O73X—Nav | 2.233 (7) | Na5—O33xxix | 2.844 (5) |
| O73X—Mgv | 2.233 (7) | Na5—O61vii | 2.915 (6) |
| O73X—Ndxiv | 2.513 (7) | Na5—O13xxiii | 2.981 (5) |
| O74X—Mg6 | 1.941 (8) | Na5—O13xvi | 2.981 (5) |
| O74X—Nav | 1.954 (8) | Na5—P3ii | 3.269 (3) |
| O74X—Mgv | 1.954 (8) | Na5—P3xxix | 3.269 (3) |
| O74X—P7iii | 2.032 (7) | Na6—Na6xxx | 0.649 (11) |
| P8—P8vii | 0.304 (16) | Na6—O53vii | 2.380 (6) |
| P8—O84X | 1.426 (10) | Na6—O71xi | 2.387 (7) |
| P8—O82Xvii | 1.428 (7) | Na6—O42xxxi | 2.696 (7) |
| P8—O84Xvii | 1.517 (10) | Na6—O53xi | 2.699 (6) |
| P8—O81 | 1.525 (6) | Na6—P5xi | 3.106 (5) |
| P8—O82X | 1.540 (7) | Na6—P7vii | 3.247 (5) |
| P8—O83Xvii | 1.546 (10) | Na6—P7xi | 3.298 (5) |
| P8—O83X | 1.846 (10) | Na6—Mg7vii | 3.481 (6) |
| P8—Naix | 2.962 (7) | Na6—Mg8vii | 3.598 (6) |
| P8—Mgix | 2.962 (7) | Na6—Mg5xx | 3.612 (5) |
| O51—Nd—O32i | 83.43 (11) | O34xxii—Mg6—O72Xiii | 138.2 (2) |
| O51—Nd—O32ii | 83.43 (11) | O82X—Mg6—O72Xiii | 151.8 (3) |
| O32i—Nd—O32ii | 94.83 (17) | O63—Mg7—O22vii | 107.8 (2) |
| O51—Nd—O14iii | 69.20 (11) | O63—Mg7—O44xxii | 126.5 (2) |
| O32i—Nd—O14iii | 87.56 (11) | O22vii—Mg7—O44xxii | 121.83 (17) |
| O32ii—Nd—O14iii | 152.10 (10) | O63—Mg7—O81 | 78.59 (17) |
| O51—Nd—O14 | 69.20 (11) | O22vii—Mg7—O81 | 84.7 (2) |
| O32i—Nd—O14 | 152.10 (10) | O44xxii—Mg7—O81 | 86.87 (19) |
| O32ii—Nd—O14 | 87.56 (11) | O63—Mg7—O42xxii | 93.50 (19) |
| O14iii—Nd—O14 | 77.97 (14) | O22vii—Mg7—O42xxii | 134.79 (17) |
| O51—Nd—O73Xiv | 142.9 (2) | O44xxii—Mg7—O42xxii | 66.04 (15) |
| O32i—Nd—O73Xiv | 62.54 (18) | O81—Mg7—O42xxii | 139.5 (2) |
| O32ii—Nd—O73Xiv | 85.0 (2) | O63—Mg7—O21vii | 83.75 (16) |
| O14iii—Nd—O73Xiv | 120.1 (2) | O22vii—Mg7—O21vii | 61.68 (13) |
| O14—Nd—O73Xiv | 145.25 (18) | O44xxii—Mg7—O21vii | 135.69 (17) |
| O51—Nd—O73Xv | 142.9 (2) | O81—Mg7—O21vii | 134.72 (19) |
| O32i—Nd—O73Xv | 85.0 (2) | O42xxii—Mg7—O21vii | 82.42 (14) |
| O32ii—Nd—O73Xv | 62.54 (18) | O14—Mg8—O31 | 93.14 (15) |
| O14iii—Nd—O73Xv | 145.25 (18) | O14—Mg8—O53 | 113.75 (15) |
| O14—Nd—O73Xv | 120.1 (2) | O31—Mg8—O53 | 104.63 (16) |
| O51—Nd—O13iii | 125.91 (10) | O14—Mg8—O21vii | 87.71 (16) |
| O32i—Nd—O13iii | 86.19 (11) | O31—Mg8—O21vii | 167.17 (18) |
| O32ii—Nd—O13iii | 150.44 (11) | O53—Mg8—O21vii | 86.66 (16) |
| O14iii—Nd—O13iii | 57.41 (11) | O14—Mg8—O61vii | 165.25 (16) |
| O14—Nd—O13iii | 105.15 (11) | O31—Mg8—O61vii | 85.58 (16) |
| O73Xiv—Nd—O13iii | 69.2 (2) | O53—Mg8—O61vii | 80.71 (14) |
| O73Xv—Nd—O13iii | 88.21 (19) | O21vii—Mg8—O61vii | 90.34 (17) |
| O51—Nd—O13 | 125.91 (10) | O14—Mg8—O62 | 106.35 (15) |
| O32i—Nd—O13 | 150.44 (11) | O31—Mg8—O62 | 86.43 (16) |
| O32ii—Nd—O13 | 86.19 (11) | O53—Mg8—O62 | 137.41 (16) |
| O14iii—Nd—O13 | 105.15 (11) | O21vii—Mg8—O62 | 81.06 (17) |
| O14—Nd—O13 | 57.41 (11) | O61vii—Mg8—O62 | 58.92 (15) |
| O73Xiv—Nd—O13 | 88.21 (19) | O74Xxxv—Mg—O83Xxxv | 57.2 (3) |
| O73Xv—Nd—O13 | 69.2 (2) | O74Xxxv—Mg—O43 | 114.5 (2) |
| O13iii—Nd—O13 | 78.96 (13) | O83Xxxv—Mg—O43 | 170.6 (3) |
| O11—P1—O12 | 113.35 (18) | O74Xxxv—Mg—O32 | 98.0 (2) |
| O11—P1—O13 | 110.18 (18) | O83Xxxv—Mg—O32 | 97.0 (2) |
| O12—P1—O13 | 112.99 (18) | O43—Mg—O32 | 88.34 (15) |
| O11—P1—O14 | 108.76 (18) | O74Xxxv—Mg—O73Xxxv | 36.3 (3) |
| O12—P1—O14 | 109.08 (18) | O83Xxxv—Mg—O73Xxxv | 86.3 (3) |
| O13—P1—O14 | 101.78 (16) | O43—Mg—O73Xxxv | 88.0 (3) |
| O21—P2—O22 | 106.5 (2) | O32—Mg—O73Xxxv | 72.4 (2) |
| O21—P2—O23 | 113.9 (2) | O74Xxxv—Mg—O41 | 162.5 (3) |
| O22—P2—O23 | 110.3 (2) | O83Xxxv—Mg—O41 | 119.8 (2) |
| O21—P2—O24 | 112.1 (2) | O43—Mg—O41 | 66.51 (14) |
| O22—P2—O24 | 111.42 (19) | O32—Mg—O41 | 99.53 (16) |
| O23—P2—O24 | 102.61 (18) | O73Xxxv—Mg—O41 | 153.8 (3) |
| O31xii—P3—O33 | 107.5 (2) | O74Xxxv—Mg—O22xv | 83.3 (2) |
| O31xii—P3—O34 | 117.7 (2) | O83Xxxv—Mg—O22xv | 91.7 (2) |
| O33—P3—O34 | 102.28 (19) | O43—Mg—O22xv | 82.45 (14) |
| O31xii—P3—O32 | 110.1 (2) | O32—Mg—O22xv | 170.34 (17) |
| O33—P3—O32 | 111.7 (2) | O73Xxxv—Mg—O22xv | 104.3 (2) |
| O34—P3—O32 | 107.3 (2) | O41—Mg—O22xv | 79.46 (16) |
| O41—P4—O42 | 112.4 (3) | O74Xxxv—Mg—O84Xxv | 107.8 (3) |
| O41—P4—O43 | 104.8 (2) | O83Xxxv—Mg—O84Xxv | 50.7 (3) |
| O42—P4—O43 | 114.2 (2) | O43—Mg—O84Xxv | 137.0 (3) |
| O41—P4—O44 | 113.7 (2) | O32—Mg—O84Xxv | 93.5 (3) |
| O42—P4—O44 | 104.7 (2) | O73Xxxv—Mg—O84Xxv | 133.4 (3) |
| O43—P4—O44 | 107.1 (2) | O41—Mg—O84Xxv | 70.8 (3) |
| O51—P5—O52 | 112.9 (3) | O22xv—Mg—O84Xxv | 95.2 (3) |
| O51—P5—O53iii | 109.44 (18) | O41xxvi—Na1—O41vi | 72.3 (2) |
| O52—P5—O53iii | 108.27 (17) | O41xxvi—Na1—O22xxvii | 140.18 (17) |
| O51—P5—O53 | 109.44 (18) | O41vi—Na1—O22xxvii | 74.28 (14) |
| O52—P5—O53 | 108.27 (17) | O41xxvi—Na1—O22xxviii | 74.28 (14) |
| O53iii—P5—O53 | 108.4 (3) | O41vi—Na1—O22xxviii | 140.18 (17) |
| O61vii—P6—O61 | 109.1 (3) | O22xxvii—Na1—O22xxviii | 123.4 (2) |
| O61vii—P6—O62 | 106.7 (2) | O41xxvi—Na1—O23xxvii | 145.3 (2) |
| O61—P6—O62 | 106.7 (2) | O41vi—Na1—O23xxvii | 98.65 (13) |
| O61vii—P6—O63 | 111.39 (19) | O22xxvii—Na1—O23xxvii | 61.06 (12) |
| O61—P6—O63 | 111.39 (19) | O22xxviii—Na1—O23xxvii | 121.17 (16) |
| O62—P6—O63 | 111.2 (3) | O41xxvi—Na1—O23xxviii | 98.65 (14) |
| O73X—P7—O72Xiii | 126.7 (7) | O41vi—Na1—O23xxviii | 145.3 (2) |
| O73X—P7—O72X | 130.4 (5) | O22xxvii—Na1—O23xxviii | 121.17 (16) |
| O73X—P7—O71 | 117.0 (4) | O22xxviii—Na1—O23xxviii | 61.06 (12) |
| O72Xiii—P7—O71 | 115.9 (5) | O23xxvii—Na1—O23xxviii | 69.34 (17) |
| O72X—P7—O71 | 111.7 (5) | O41xxvi—Na1—O81xxvii | 102.98 (19) |
| O72Xiii—P7—O74X | 96.5 (11) | O41vi—Na1—O81xxvii | 102.98 (19) |
| O72X—P7—O74X | 111.4 (10) | O22xxvii—Na1—O81xxvii | 64.39 (11) |
| O71—P7—O74X | 114.9 (3) | O22xxviii—Na1—O81xxvii | 64.39 (11) |
| O72Xiii—P7—O73Xiii | 118.5 (9) | O23xxvii—Na1—O81xxvii | 111.76 (16) |
| O72X—P7—O73Xiii | 107.2 (9) | O23xxviii—Na1—O81xxvii | 111.76 (16) |
| O71—P7—O73Xiii | 104.3 (3) | O43iv—Na2—O43v | 66.40 (17) |
| O74X—P7—O73Xiii | 106.6 (4) | O43iv—Na2—O44iv | 58.49 (12) |
| O73X—P7—O74Xiii | 92.9 (4) | O43v—Na2—O44iv | 111.21 (16) |
| O72Xiii—P7—O74Xiii | 91.4 (11) | O43iv—Na2—O44v | 111.21 (16) |
| O72X—P7—O74Xiii | 76.0 (10) | O43v—Na2—O44v | 58.49 (12) |
| O71—P7—O74Xiii | 92.1 (2) | O44iv—Na2—O44v | 107.7 (2) |
| O74X—P7—O74Xiii | 144.3 (5) | O43iv—Na2—O34iv | 108.65 (10) |
| O84X—P8—O82Xvii | 121.1 (5) | O43v—Na2—O34iv | 165.5 (2) |
| P8vii—P8—O84Xvii | 66.9 (4) | O44iv—Na2—O34iv | 74.65 (12) |
| O82Xvii—P8—O84Xvii | 130.2 (5) | O44v—Na2—O34iv | 133.75 (17) |
| O84X—P8—O81 | 117.6 (5) | O43iv—Na2—O34v | 165.5 (2) |
| O82Xvii—P8—O81 | 116.1 (4) | O43v—Na2—O34v | 108.65 (10) |
| O84Xvii—P8—O81 | 112.1 (5) | O44iv—Na2—O34v | 133.75 (17) |
| O84X—P8—O82X | 128.5 (5) | O44v—Na2—O34v | 74.65 (12) |
| O84Xvii—P8—O82X | 108.8 (6) | O34iv—Na2—O34v | 72.59 (16) |
| O81—P8—O82X | 109.7 (4) | O43iv—Na2—O32v | 111.67 (17) |
| O84X—P8—O83Xvii | 77.2 (5) | O43v—Na2—O32v | 69.32 (12) |
| O82Xvii—P8—O83Xvii | 67.4 (4) | O44iv—Na2—O32v | 166.14 (17) |
| O84Xvii—P8—O83Xvii | 111.5 (5) | O44v—Na2—O32v | 84.56 (11) |
| O81—P8—O83Xvii | 104.7 (4) | O34iv—Na2—O32v | 101.72 (15) |
| O82X—P8—O83Xvii | 110.0 (4) | O34v—Na2—O32v | 54.69 (11) |
| O84X—P8—O83X | 100.6 (5) | O43iv—Na2—O32iv | 69.32 (12) |
| O82Xvii—P8—O83X | 100.3 (4) | O43v—Na2—O32iv | 111.67 (17) |
| O84Xvii—P8—O83X | 66.1 (5) | O44iv—Na2—O32iv | 84.56 (11) |
| O81—P8—O83X | 91.8 (4) | O44v—Na2—O32iv | 166.14 (17) |
| O82X—P8—O83X | 57.6 (4) | O34iv—Na2—O32iv | 54.69 (11) |
| O83Xvii—P8—O83X | 162.4 (5) | O34v—Na2—O32iv | 101.72 (15) |
| O24xviii—Mg1—O24vii | 86.12 (19) | O32v—Na2—O32iv | 82.55 (18) |
| O24xviii—Mg1—O43iv | 87.97 (13) | O43iv—Na2—O82Xvi | 124.47 (17) |
| O24vii—Mg1—O43iv | 151.84 (19) | O43v—Na2—O82Xvi | 140.8 (2) |
| O24xviii—Mg1—O43v | 151.84 (19) | O44iv—Na2—O82Xvi | 65.98 (16) |
| O24vii—Mg1—O43v | 87.97 (13) | O44v—Na2—O82Xvi | 84.37 (18) |
| O43iv—Mg1—O43v | 84.4 (2) | O34iv—Na2—O82Xvi | 53.55 (16) |
| O24xviii—Mg1—O71 | 99.48 (16) | O34v—Na2—O82Xvi | 68.42 (16) |
| O24vii—Mg1—O71 | 99.48 (16) | O32v—Na2—O82Xvi | 122.98 (17) |
| O43iv—Mg1—O71 | 108.65 (16) | O32iv—Na2—O82Xvi | 106.98 (16) |
| O43v—Mg1—O71 | 108.65 (16) | O43iv—Na2—O82Xxxvi | 140.8 (2) |
| O62—Mg2—O52viii | 158.0 (2) | O43v—Na2—O82Xxxvi | 124.47 (17) |
| O62—Mg2—O23 | 101.27 (16) | O44iv—Na2—O82Xxxvi | 84.37 (18) |
| O52viii—Mg2—O23 | 94.54 (15) | O44v—Na2—O82Xxxvi | 65.98 (16) |
| O62—Mg2—O23vii | 101.27 (16) | O34iv—Na2—O82Xxxvi | 68.42 (16) |
| O52viii—Mg2—O23vii | 94.54 (15) | O34v—Na2—O82Xxxvi | 53.55 (16) |
| O23—Mg2—O23vii | 87.7 (2) | O32v—Na2—O82Xxxvi | 106.98 (16) |
| O62—Mg2—O12 | 87.15 (16) | O32iv—Na2—O82Xxxvi | 122.98 (17) |
| O52viii—Mg2—O12 | 75.59 (14) | O82Xvi—Na2—O82Xxxvi | 22.1 (3) |
| O23—Mg2—O12 | 169.17 (16) | O24vii—Na3—O24xviii | 72.97 (18) |
| O23vii—Mg2—O12 | 97.46 (13) | O24vii—Na3—O14iii | 171.6 (2) |
| O62—Mg2—O12vii | 87.15 (16) | O24xviii—Na3—O14iii | 101.77 (11) |
| O52viii—Mg2—O12vii | 75.59 (14) | O24vii—Na3—O14 | 101.77 (11) |
| O23—Mg2—O12vii | 97.46 (13) | O24xviii—Na3—O14 | 171.6 (2) |
| O23vii—Mg2—O12vii | 169.17 (16) | O14iii—Na3—O14 | 82.65 (18) |
| O12—Mg2—O12vii | 75.97 (18) | O24vii—Na3—O11iii | 122.51 (19) |
| O52—Mg3—O82Xxxi | 161.1 (2) | O24xviii—Na3—O11iii | 71.46 (12) |
| O52—Mg3—O82Xxxii | 161.1 (2) | O14iii—Na3—O11iii | 60.14 (11) |
| O82Xxxi—Mg3—O82Xxxii | 31.1 (4) | O14—Na3—O11iii | 116.87 (17) |
| O52—Mg3—O34i | 100.35 (15) | O24vii—Na3—O11 | 71.46 (12) |
| O82Xxxi—Mg3—O34i | 74.8 (2) | O24xviii—Na3—O11 | 122.51 (19) |
| O82Xxxii—Mg3—O34i | 98.4 (2) | O14iii—Na3—O11 | 116.87 (17) |
| O52—Mg3—O34ii | 100.35 (15) | O14—Na3—O11 | 60.14 (11) |
| O82Xxxi—Mg3—O34ii | 98.4 (2) | O11iii—Na3—O11 | 91.98 (18) |
| O82Xxxii—Mg3—O34ii | 74.8 (2) | O12xv—Na4—O12xxv | 68.10 (16) |
| O34i—Mg3—O34ii | 99.4 (2) | O12xv—Na4—O62xv | 71.64 (14) |
| O52—Mg3—O12xxiii | 77.01 (14) | O12xxv—Na4—O62xv | 71.64 (14) |
| O82Xxxi—Mg3—O12xxiii | 104.0 (2) | O12xv—Na4—O31xxv | 146.90 (16) |
| O82Xxxii—Mg3—O12xxiii | 84.9 (2) | O12xxv—Na4—O31xxv | 87.77 (11) |
| O34i—Mg3—O12xxiii | 168.63 (15) | O62xv—Na4—O31xxv | 79.58 (13) |
| O34ii—Mg3—O12xxiii | 91.93 (13) | O12xv—Na4—O31xv | 87.77 (11) |
| O52—Mg3—O12xix | 77.01 (14) | O12xxv—Na4—O31xv | 146.90 (16) |
| O82Xxxi—Mg3—O12xix | 84.9 (2) | O62xv—Na4—O31xv | 79.58 (13) |
| O82Xxxii—Mg3—O12xix | 104.0 (2) | O31xxv—Na4—O31xv | 103.03 (19) |
| O34i—Mg3—O12xix | 91.93 (13) | O12xv—Na4—O84X | 101.0 (2) |
| O34ii—Mg3—O12xix | 168.63 (15) | O12xxv—Na4—O84X | 111.8 (2) |
| O12xxiii—Mg3—O12xix | 76.70 (17) | O62xv—Na4—O84X | 170.47 (19) |
| O33xxi—Mg4—O33xxii | 92.9 (2) | O31xxv—Na4—O84X | 109.1 (2) |
| O33xxi—Mg4—O41xxi | 88.36 (17) | O31xv—Na4—O84X | 94.3 (2) |
| O33xxii—Mg4—O41xxi | 173.5 (2) | O12xv—Na4—O84Xvii | 111.8 (2) |
| O33xxi—Mg4—O41xxii | 173.5 (2) | O12xxv—Na4—O84Xvii | 101.0 (2) |
| O33xxii—Mg4—O41xxii | 88.36 (17) | O62xv—Na4—O84Xvii | 170.47 (18) |
| O41xxi—Mg4—O41xxii | 89.7 (3) | O31xxv—Na4—O84Xvii | 94.3 (2) |
| O33xxi—Mg4—O72X | 85.5 (6) | O31xv—Na4—O84Xvii | 109.1 (2) |
| O33xxii—Mg4—O72X | 93.5 (6) | O84X—Na4—O84Xvii | 18.5 (4) |
| O41xxi—Mg4—O72X | 93.0 (6) | O11xvi—Na5—O11xxiii | 97.14 (19) |
| O41xxii—Mg4—O72X | 100.8 (6) | O11xvi—Na5—O31 | 159.2 (2) |
| O33xxi—Mg4—O72Xiii | 93.5 (6) | O11xxiii—Na5—O31 | 76.89 (11) |
| O33xxii—Mg4—O72Xiii | 85.5 (6) | O11xvi—Na5—O31vii | 76.89 (11) |
| O41xxi—Mg4—O72Xiii | 100.8 (6) | O11xxiii—Na5—O31vii | 159.2 (2) |
| O41xxii—Mg4—O72Xiii | 93.0 (6) | O31—Na5—O31vii | 101.6 (2) |
| O72X—Mg4—O72Xiii | 11.1 (15) | O11xvi—Na5—O33ii | 147.69 (19) |
| O33xxi—Mg4—O84Xxix | 102.3 (2) | O11xxiii—Na5—O33ii | 95.00 (11) |
| O33xxii—Mg4—O84Xxix | 87.6 (2) | O31—Na5—O33ii | 53.08 (11) |
| O41xxi—Mg4—O84Xxix | 85.9 (3) | O31vii—Na5—O33ii | 100.52 (15) |
| O41xxii—Mg4—O84Xxix | 71.3 (3) | O11xvi—Na5—O33xxix | 95.00 (11) |
| O72X—Mg4—O84Xxix | 172.1 (5) | O11xxiii—Na5—O33xxix | 147.69 (19) |
| O72Xiii—Mg4—O84Xxix | 163.0 (7) | O31—Na5—O33xxix | 100.52 (15) |
| O33xxi—Mg4—O84Xxxiii | 87.6 (2) | O31vii—Na5—O33xxix | 53.08 (11) |
| O33xxii—Mg4—O84Xxxiii | 102.3 (2) | O33ii—Na5—O33xxix | 60.72 (15) |
| O41xxi—Mg4—O84Xxxiii | 71.3 (3) | O11xvi—Na5—O61 | 62.08 (13) |
| O41xxii—Mg4—O84Xxxiii | 85.9 (3) | O11xxiii—Na5—O61 | 99.82 (18) |
| O72X—Mg4—O84Xxxiii | 163.0 (7) | O31—Na5—O61 | 98.93 (17) |
| O72Xiii—Mg4—O84Xxxiii | 172.1 (5) | O31vii—Na5—O61 | 59.67 (13) |
| O84Xxix—Mg4—O84Xxxiii | 20.3 (4) | O33ii—Na5—O61 | 144.13 (18) |
| O61xxiv—Mg5—O11vii | 87.23 (15) | O33xxix—Na5—O61 | 112.32 (12) |
| O61xxiv—Mg5—O53viii | 81.09 (15) | O11xvi—Na5—O61vii | 99.82 (18) |
| O11vii—Mg5—O53viii | 105.84 (15) | O11xxiii—Na5—O61vii | 62.08 (13) |
| O61xxiv—Mg5—O42ix | 86.34 (19) | O31—Na5—O61vii | 59.67 (13) |
| O11vii—Mg5—O42ix | 166.46 (18) | O31vii—Na5—O61vii | 98.93 (17) |
| O53viii—Mg5—O42ix | 84.92 (16) | O33ii—Na5—O61vii | 112.32 (12) |
| O61xxiv—Mg5—O23 | 174.75 (16) | O33xxix—Na5—O61vii | 144.13 (18) |
| O11vii—Mg5—O23 | 87.55 (13) | O61—Na5—O61vii | 50.43 (16) |
| O53viii—Mg5—O23 | 100.94 (14) | O11xvi—Na5—O13xxiii | 102.48 (15) |
| O42ix—Mg5—O23 | 98.63 (18) | O11xxiii—Na5—O13xxiii | 53.73 (12) |
| O61xxiv—Mg5—O24 | 111.86 (16) | O31—Na5—O13xxiii | 90.11 (11) |
| O11vii—Mg5—O24 | 84.91 (13) | O31vii—Na5—O13xxiii | 146.76 (19) |
| O53viii—Mg5—O24 | 163.94 (15) | O33ii—Na5—O13xxiii | 62.13 (12) |
| O42ix—Mg5—O24 | 86.44 (15) | O33xxix—Na5—O13xxiii | 94.41 (16) |
| O23—Mg5—O24 | 67.04 (12) | O61—Na5—O13xxiii | 149.41 (17) |
| O74X—Mg6—O13xxv | 89.1 (2) | O61vii—Na5—O13xxiii | 113.70 (11) |
| O74X—Mg6—O83X | 56.3 (3) | O11xvi—Na5—O13xvi | 53.73 (12) |
| O13xxv—Mg6—O83X | 92.0 (2) | O11xxiii—Na5—O13xvi | 102.48 (15) |
| O74X—Mg6—O44xxii | 86.4 (2) | O31—Na5—O13xvi | 146.76 (19) |
| O13xxv—Mg6—O44xxii | 174.7 (2) | O31vii—Na5—O13xvi | 90.11 (11) |
| O83X—Mg6—O44xxii | 87.8 (2) | O33ii—Na5—O13xvi | 94.41 (16) |
| O74X—Mg6—O33xxii | 128.5 (3) | O33xxix—Na5—O13xvi | 62.13 (12) |
| O13xxv—Mg6—O33xxii | 91.79 (15) | O61—Na5—O13xvi | 113.70 (11) |
| O83X—Mg6—O33xxii | 173.9 (2) | O61vii—Na5—O13xvi | 149.41 (17) |
| O44xxii—Mg6—O33xxii | 88.92 (16) | O13xxiii—Na5—O13xvi | 65.17 (14) |
| O74X—Mg6—O34xxii | 164.9 (3) | Na6xxx—Na6—O53vii | 112.87 (15) |
| O13xxv—Mg6—O34xxii | 88.80 (15) | Na6xxx—Na6—O71xi | 82.19 (13) |
| O83X—Mg6—O34xxii | 108.8 (2) | O53vii—Na6—O71xi | 149.5 (3) |
| O44xxii—Mg6—O34xxii | 96.32 (17) | Na6xxx—Na6—O42xxxi | 147.02 (18) |
| O33xxii—Mg6—O34xxii | 66.49 (13) | O53vii—Na6—O42xxxi | 67.95 (17) |
| O74X—Mg6—O82X | 99.5 (3) | O71xi—Na6—O42xxxi | 114.2 (2) |
| O13xxv—Mg6—O82X | 98.5 (2) | Na6xxx—Na6—O53xi | 54.33 (13) |
| O83X—Mg6—O82X | 43.6 (2) | O53vii—Na6—O53xi | 58.54 (18) |
| O44xxii—Mg6—O82X | 85.0 (2) | O71xi—Na6—O53xi | 129.4 (3) |
| O33xxii—Mg6—O82X | 131.0 (2) | O42xxxi—Na6—O53xi | 116.5 (2) |
| O34xxii—Mg6—O82X | 66.03 (19) | Na6xxx—Na6—O21 | 138.10 (16) |
| O74X—Mg6—O72Xiii | 57.0 (3) | O53vii—Na6—O21 | 66.58 (18) |
| O13xxv—Mg6—O72Xiii | 96.6 (4) | O71xi—Na6—O21 | 84.4 (2) |
| O83X—Mg6—O72Xiii | 112.4 (3) | O42xxxi—Na6—O21 | 74.1 (2) |
| O44xxii—Mg6—O72Xiii | 78.6 (4) | O53xi—Na6—O21 | 109.8 (2) |
| O33xxii—Mg6—O72Xiii | 71.9 (2) |