Supporting information
Crystallographic Information File (CIF) https://doi.org/10.1107/S2414314620001650/wm4122sup1.cif | |
Structure factor file (CIF format) https://doi.org/10.1107/S2414314620001650/wm4122Isup2.hkl | |
Chemical Markup Language (CML) file https://doi.org/10.1107/S2414314620001650/wm4122Isup4.cml | |
Portable Document Format (PDF) file https://doi.org/10.1107/S2414314620001650/wm4122sup3.pdf |
CCDC reference: 1982137
checkCIF/PLATON results
No syntax errors found Datablock: I
Alert level C PLAT084_ALERT_3_C High wR2 Value (i.e. > 0.25) ................... 0.27 Report PLAT242_ALERT_2_C Low MainMol Ueq as Compared to Neighbors of C4 Check PLAT790_ALERT_4_C Centre of Gravity not Within Unit Cell: Resd. # 1 Note C6 H24 Mg6 O30 PLAT911_ALERT_3_C Missing FCF Refl Between Thmin & STh/L= 0.600 3 Report PLAT918_ALERT_3_C Reflection(s) with I(obs) much Smaller I(calc) . 124 Check PLAT939_ALERT_3_C Large Value of Not (SHELXL) Weight Optimized S . 23.48 Check
Alert level G PLAT002_ALERT_2_G Number of Distance or Angle Restraints on AtSite 29 Note PLAT004_ALERT_5_G Polymeric Structure Found with Maximum Dimension 1 Info PLAT042_ALERT_1_G Calc. and Reported MoietyFormula Strings Differ Please Check PLAT045_ALERT_1_G Calculated and Reported Z Differ by a Factor ... 0.50 Check PLAT072_ALERT_2_G SHELXL First Parameter in WGHT Unusually Large 0.20 Report PLAT172_ALERT_4_G The CIF-Embedded .res File Contains DFIX Records 5 Report PLAT764_ALERT_4_G Overcomplete CIF Bond List Detected (Rep/Expd) . 1.84 Ratio PLAT790_ALERT_4_G Centre of Gravity not Within Unit Cell: Resd. # 3 Note H2 O PLAT790_ALERT_4_G Centre of Gravity not Within Unit Cell: Resd. # 5 Note Cs PLAT860_ALERT_3_G Number of Least-Squares Restraints ............. 19 Note PLAT870_ALERT_4_G ALERTS Related to Twinning Effects Suppressed .. ! Info PLAT910_ALERT_3_G Missing # of FCF Reflection(s) Below Theta(Min). 4 Note PLAT913_ALERT_3_G Missing # of Very Strong Reflections in FCF .... 2 Note PLAT931_ALERT_5_G CIFcalcFCF Twin Law ( 1 0-2) Est.d BASF 0.51 Check
0 ALERT level A = Most likely a serious problem - resolve or explain 0 ALERT level B = A potentially serious problem, consider carefully 6 ALERT level C = Check. Ensure it is not caused by an omission or oversight 14 ALERT level G = General information/check it is not something unexpected 2 ALERT type 1 CIF construction/syntax error, inconsistent or missing data 3 ALERT type 2 Indicator that the structure model may be wrong or deficient 7 ALERT type 3 Indicator that the structure quality may be low 6 ALERT type 4 Improvement, methodology, query or suggestion 2 ALERT type 5 Informative message, check
Data collection: X-AREA (Stoe & Cie, 2015); cell refinement: X-AREA (Stoe & Cie, 2015); data reduction: X-RED (Stoe & Cie, 2015); program(s) used to solve structure: SHELXS97 (Sheldrick, 2008); program(s) used to refine structure: SHELXL2016/6 (Sheldrick, 2015); molecular graphics: DIAMOND (Brandenburg, 2017); software used to prepare material for publication: publCIF (Westrip, 2010).
Cs2Mg4(CO3)5·10H2O | F(000) = 1632 |
Mr = 843.27 | Dx = 2.444 Mg m−3 |
Monoclinic, P21/n | Mo Kα radiation, λ = 0.71073 Å |
a = 9.1617 (9) Å | Cell parameters from 11266 reflections |
b = 19.233 (3) Å | θ = 10.0–27.5° |
c = 13.0065 (13) Å | µ = 3.41 mm−1 |
β = 91.136 (8)° | T = 200 K |
V = 2291.4 (4) Å3 | Needle, colorless |
Z = 4 | 0.6 × 0.45 × 0.25 mm |
STOE IPDS 2T diffractometer | 37526 independent reflections |
Radiation source: sealed X-ray tube, 12 x 0.4 mm long-fine focus | 31786 reflections with I > 2σ(I) |
Plane graphite monochromator | Rint = 0.086 |
Detector resolution: 6.67 pixels mm-1 | θmax = 27.5°, θmin = 2.7° |
rotation method scans | h = −11→11 |
Absorption correction: integration (Coppens, 1970) | k = −24→24 |
Tmin = 0.151, Tmax = 0.439 | l = −16→16 |
37526 measured reflections |
Refinement on F2 | 19 restraints |
Least-squares matrix: full | Hydrogen site location: difference Fourier map |
R[F2 > 2σ(F2)] = 0.073 | Only H-atom coordinates refined |
wR(F2) = 0.274 | w = 1/[σ2(Fo2) + (0.2P)2] where P = (Fo2 + 2Fc2)/3 |
S = 1.22 | (Δ/σ)max = 0.001 |
37526 reflections | Δρmax = 3.48 e Å−3 |
386 parameters | Δρmin = −2.86 e Å−3 |
Geometry. All esds (except the esd in the dihedral angle between two l.s. planes) are estimated using the full covariance matrix. The cell esds are taken into account individually in the estimation of esds in distances, angles and torsion angles; correlations between esds in cell parameters are only used when they are defined by crystal symmetry. An approximate (isotropic) treatment of cell esds is used for estimating esds involving l.s. planes. |
Refinement. Refined as a two-component twin. All H atoms were discernable from difference Fourier maps. Their Uiso values were set at 1.2Ueq(O) using a riding-model approximation, with O—H distance restraint of 0.82 (2) Å. |
x | y | z | Uiso*/Ueq | ||
Cs1 | 1.00975 (7) | 0.66121 (4) | −0.01626 (5) | 0.0303 (3) | |
Cs2 | 1.32369 (7) | 0.49560 (3) | 0.40043 (5) | 0.0264 (3) | |
Mg1 | 1.1797 (3) | 0.68437 (15) | 0.3146 (2) | 0.0151 (6) | |
Mg2 | 0.7423 (3) | 0.50315 (14) | 0.2539 (2) | 0.0180 (6) | |
Mg3 | 1.5193 (3) | 0.68707 (16) | −0.0165 (2) | 0.0149 (6) | |
Mg4 | 1.8523 (3) | 0.68950 (15) | −0.3500 (2) | 0.0148 (6) | |
C1 | 1.6693 (10) | 0.6520 (4) | −0.1682 (7) | 0.0151 (17) | |
C2 | 1.3367 (10) | 0.6479 (5) | 0.1655 (7) | 0.0157 (17) | |
C3 | 0.9960 (9) | 0.6486 (5) | 0.4985 (7) | 0.0159 (18) | |
C4 | 0.6528 (9) | 0.3691 (5) | 0.3489 (7) | 0.0159 (15) | |
C5 | 0.6780 (9) | 0.6242 (5) | 0.3186 (6) | 0.0161 (15) | |
O1W | 0.9961 (8) | 0.6901 (4) | 0.2222 (6) | 0.0214 (13) | |
H1A | 0.927 (10) | 0.664 (6) | 0.231 (10) | 0.026* | |
H1B | 0.972 (13) | 0.729 (4) | 0.201 (10) | 0.026* | |
O2W | 1.3628 (8) | 0.6785 (4) | 0.4098 (6) | 0.0226 (14) | |
H2A | 1.437 (9) | 0.678 (7) | 0.378 (8) | 0.027* | |
H2B | 1.375 (14) | 0.658 (6) | 0.464 (6) | 0.027* | |
O31 | 1.0684 (8) | 0.6279 (4) | 0.4208 (5) | 0.0200 (13) | |
O21 | 1.3187 (7) | 0.7114 (3) | 0.1938 (5) | 0.0185 (12) | |
O22 | 1.2623 (8) | 0.6024 (3) | 0.2168 (5) | 0.0211 (13) | |
O23 | 1.4196 (8) | 0.6297 (4) | 0.0929 (5) | 0.0197 (13) | |
O3W | 1.3266 (8) | 0.6867 (4) | −0.1057 (6) | 0.0204 (13) | |
H3B | 1.318 (14) | 0.662 (6) | −0.157 (7) | 0.025* | |
H3A | 1.301 (13) | 0.725 (4) | −0.126 (9) | 0.025* | |
O4W | 1.7042 (8) | 0.6938 (4) | 0.0761 (6) | 0.0220 (14) | |
H4B | 1.726 (14) | 0.667 (6) | 0.123 (8) | 0.026* | |
H4A | 1.734 (14) | 0.731 (4) | 0.102 (9) | 0.026* | |
O5W | 2.0403 (8) | 0.6925 (4) | −0.2549 (6) | 0.0218 (14) | |
H5B | 2.097 (11) | 0.661 (5) | −0.258 (10) | 0.026* | |
H5A | 2.074 (13) | 0.730 (4) | −0.233 (10) | 0.026* | |
O6W | 1.6622 (8) | 0.6890 (4) | −0.4404 (6) | 0.0227 (14) | |
H6A | 1.576 (7) | 0.684 (7) | −0.421 (10) | 0.027* | |
H6B | 1.652 (14) | 0.690 (7) | −0.502 (4) | 0.027* | |
O11 | 1.7447 (8) | 0.6338 (4) | −0.2448 (5) | 0.0220 (14) | |
O12 | 1.6439 (8) | 0.7159 (3) | −0.1449 (5) | 0.0200 (13) | |
O13 | 1.6152 (7) | 0.6063 (3) | −0.1054 (5) | 0.0176 (12) | |
O7W | 0.5600 (9) | 0.5047 (3) | 0.1568 (7) | 0.0302 (16) | |
H7A | 0.601 (15) | 0.512 (8) | 0.100 (7) | 0.036* | |
H7B | 0.527 (14) | 0.545 (4) | 0.156 (11) | 0.036* | |
O8W | 0.8731 (8) | 0.4854 (4) | 0.1256 (5) | 0.0280 (14) | |
H8A | 0.960 (7) | 0.495 (6) | 0.122 (12) | 0.034* | |
H8B | 0.843 (15) | 0.490 (7) | 0.066 (5) | 0.034* | |
O51 | 0.7580 (7) | 0.6121 (3) | 0.2376 (5) | 0.0182 (12) | |
O52 | 0.6504 (8) | 0.6860 (3) | 0.3457 (6) | 0.0231 (13) | |
O41 | 0.7184 (8) | 0.3984 (3) | 0.2720 (5) | 0.0241 (13) | |
O42 | 0.6027 (12) | 0.4052 (5) | 0.4216 (7) | 0.049 (2) | |
O43 | 0.6392 (11) | 0.3043 (4) | 0.3508 (7) | 0.040 (2) | |
O32 | 0.9441 (7) | 0.6056 (3) | 0.5649 (5) | 0.0186 (13) | |
O33 | 0.9686 (8) | 0.7136 (3) | 0.5157 (5) | 0.0177 (12) | |
O9W | 0.9293 (9) | 0.5041 (3) | 0.3441 (6) | 0.0283 (15) | |
H9B | 0.959 (14) | 0.468 (4) | 0.370 (10) | 0.034* | |
H9A | 0.949 (14) | 0.542 (4) | 0.369 (10) | 0.034* | |
O53 | 0.6312 (7) | 0.5693 (4) | 0.3652 (5) | 0.0261 (14) | |
O10W | 1.1733 (8) | 0.4982 (3) | 0.0876 (5) | 0.0222 (14) | |
H10A | 1.223 (12) | 0.465 (5) | 0.103 (9) | 0.027* | |
H10B | 1.214 (14) | 0.531 (7) | 0.128 (10) | 0.027* |
U11 | U22 | U33 | U12 | U13 | U23 | |
Cs1 | 0.0293 (4) | 0.0358 (4) | 0.0260 (4) | −0.0016 (2) | 0.0086 (3) | −0.0031 (2) |
Cs2 | 0.0259 (4) | 0.0232 (4) | 0.0301 (4) | −0.00246 (19) | 0.0027 (3) | 0.0020 (2) |
Mg1 | 0.0138 (15) | 0.0184 (14) | 0.0132 (15) | −0.0001 (10) | 0.0024 (11) | −0.0003 (11) |
Mg2 | 0.0192 (15) | 0.0154 (14) | 0.0195 (14) | −0.0015 (9) | 0.0023 (12) | 0.0001 (10) |
Mg3 | 0.0136 (14) | 0.0178 (14) | 0.0135 (15) | 0.0011 (10) | 0.0036 (11) | 0.0000 (10) |
Mg4 | 0.0127 (14) | 0.0188 (14) | 0.0129 (15) | 0.0006 (10) | 0.0027 (11) | 0.0000 (11) |
C1 | 0.015 (4) | 0.015 (4) | 0.015 (4) | −0.002 (3) | −0.004 (3) | 0.000 (3) |
C2 | 0.016 (4) | 0.018 (4) | 0.013 (4) | 0.003 (3) | −0.003 (3) | 0.001 (3) |
C3 | 0.014 (4) | 0.018 (4) | 0.015 (4) | 0.001 (3) | −0.008 (3) | 0.000 (3) |
C4 | 0.010 (3) | 0.023 (4) | 0.015 (4) | −0.004 (3) | −0.002 (3) | 0.003 (3) |
C5 | 0.010 (4) | 0.027 (4) | 0.011 (4) | −0.004 (3) | 0.000 (3) | 0.002 (3) |
O1W | 0.016 (3) | 0.023 (3) | 0.025 (4) | −0.003 (2) | −0.001 (3) | 0.003 (3) |
O2W | 0.017 (3) | 0.035 (4) | 0.016 (3) | 0.002 (3) | 0.002 (2) | 0.006 (3) |
O31 | 0.023 (3) | 0.022 (3) | 0.015 (3) | 0.001 (2) | 0.008 (3) | −0.004 (2) |
O21 | 0.022 (3) | 0.017 (3) | 0.017 (3) | 0.001 (2) | 0.006 (2) | 0.001 (2) |
O22 | 0.021 (3) | 0.022 (3) | 0.021 (3) | −0.001 (2) | 0.011 (3) | 0.003 (2) |
O23 | 0.019 (3) | 0.022 (3) | 0.018 (3) | 0.002 (2) | 0.007 (3) | 0.001 (2) |
O3W | 0.019 (3) | 0.023 (3) | 0.019 (4) | 0.002 (2) | 0.000 (3) | −0.005 (3) |
O4W | 0.021 (3) | 0.027 (3) | 0.018 (3) | −0.001 (2) | −0.004 (3) | 0.006 (3) |
O5W | 0.019 (3) | 0.028 (3) | 0.018 (3) | 0.004 (2) | −0.001 (3) | −0.003 (3) |
O6W | 0.014 (3) | 0.037 (4) | 0.017 (3) | −0.004 (3) | 0.000 (2) | −0.002 (3) |
O11 | 0.025 (4) | 0.026 (3) | 0.016 (3) | 0.000 (3) | 0.010 (3) | 0.002 (3) |
O12 | 0.026 (4) | 0.016 (3) | 0.017 (3) | 0.002 (2) | 0.005 (3) | 0.002 (2) |
O13 | 0.015 (3) | 0.022 (3) | 0.016 (3) | −0.002 (2) | 0.007 (2) | 0.002 (2) |
O7W | 0.023 (4) | 0.020 (3) | 0.046 (4) | 0.002 (2) | −0.011 (3) | −0.002 (3) |
O8W | 0.021 (3) | 0.042 (4) | 0.021 (3) | 0.000 (3) | 0.006 (3) | 0.002 (3) |
O51 | 0.020 (3) | 0.016 (3) | 0.019 (3) | 0.001 (2) | 0.004 (2) | 0.001 (2) |
O52 | 0.026 (3) | 0.018 (3) | 0.026 (3) | 0.002 (2) | 0.001 (3) | −0.001 (3) |
O41 | 0.035 (3) | 0.018 (3) | 0.019 (3) | −0.008 (3) | 0.007 (3) | 0.002 (2) |
O42 | 0.075 (6) | 0.044 (5) | 0.030 (4) | 0.027 (4) | 0.023 (4) | 0.000 (3) |
O43 | 0.070 (6) | 0.021 (3) | 0.030 (4) | −0.009 (4) | −0.007 (4) | 0.009 (3) |
O32 | 0.018 (3) | 0.022 (3) | 0.016 (3) | −0.001 (2) | 0.005 (2) | 0.002 (2) |
O33 | 0.021 (3) | 0.017 (3) | 0.015 (3) | 0.001 (2) | 0.004 (2) | −0.001 (2) |
O9W | 0.030 (4) | 0.019 (3) | 0.035 (4) | 0.000 (2) | −0.012 (3) | 0.004 (3) |
O53 | 0.030 (3) | 0.019 (3) | 0.029 (3) | −0.001 (2) | 0.010 (3) | 0.003 (3) |
O10W | 0.020 (3) | 0.024 (4) | 0.023 (3) | 0.000 (2) | 0.001 (3) | −0.002 (2) |
Cs1—O4Wi | 3.132 (8) | Mg1—O21 | 2.107 (8) |
Cs1—O1W | 3.156 (8) | Mg1—O22 | 2.171 (8) |
Cs1—O5Wi | 3.180 (8) | Mg2—O41 | 2.041 (7) |
Cs1—O3W | 3.187 (8) | Mg2—O9W | 2.057 (9) |
Cs1—O6Wii | 3.342 (8) | Mg2—O7W | 2.074 (9) |
Cs1—O8Wiii | 3.344 (8) | Mg2—O8W | 2.102 (7) |
Cs1—O2Wiv | 3.492 (8) | Mg2—O51 | 2.111 (7) |
Cs1—O10Wiii | 3.607 (7) | Mg2—O53 | 2.193 (7) |
Cs1—O52v | 3.689 (7) | Mg3—O33v | 2.012 (8) |
Cs1—O10W | 3.718 (7) | Mg3—O23 | 2.032 (7) |
Cs1—O43vi | 3.767 (8) | Mg3—O4W | 2.063 (7) |
Cs1—O11i | 3.837 (7) | Mg3—O3W | 2.093 (7) |
Cs1—O12i | 3.862 (7) | Mg3—O12 | 2.116 (8) |
Cs1—O13i | 3.920 (7) | Mg3—O13 | 2.137 (7) |
Cs1—O22 | 3.943 (7) | Mg4—O11 | 2.011 (7) |
Cs1—O21 | 4.013 (7) | Mg4—O21v | 2.015 (7) |
Cs1—O23 | 4.034 (7) | Mg4—O6W | 2.082 (7) |
Cs1—O8W | 4.062 (8) | Mg4—O5W | 2.101 (7) |
Cs2—O42vii | 3.065 (10) | Mg4—O33x | 2.115 (8) |
Cs2—O42viii | 3.099 (9) | Mg4—O32x | 2.139 (7) |
Cs2—O32vii | 3.171 (7) | C1—O11 | 1.272 (11) |
Cs2—O22 | 3.191 (7) | C1—O12 | 1.289 (11) |
Cs2—O53viii | 3.195 (7) | C1—O13 | 1.305 (11) |
Cs2—O11ix | 3.261 (7) | C2—O23 | 1.272 (11) |
Cs2—O53vii | 3.312 (7) | C2—O21 | 1.286 (11) |
Cs2—O31 | 3.470 (7) | C2—O22 | 1.302 (11) |
Cs2—O2W | 3.537 (8) | C3—O31 | 1.283 (11) |
Cs2—O6Wix | 3.590 (8) | C3—O32 | 1.292 (11) |
Cs2—O9W | 3.676 (8) | C3—O33 | 1.296 (12) |
Cs2—O7Wviii | 3.877 (9) | C4—O43 | 1.252 (12) |
Cs2—O9Wvii | 4.090 (9) | C4—O42 | 1.267 (12) |
Mg1—O12ii | 2.017 (7) | C4—O41 | 1.305 (11) |
Mg1—O31 | 2.045 (8) | C5—O52 | 1.266 (12) |
Mg1—O1W | 2.050 (8) | C5—O53 | 1.296 (11) |
Mg1—O2W | 2.068 (7) | C5—O51 | 1.316 (11) |
O4Wi—Cs1—O1W | 62.25 (18) | O11ix—Cs2—O9Wvii | 113.60 (15) |
O4Wi—Cs1—O5Wi | 115.68 (19) | O53vii—Cs2—O9Wvii | 46.77 (15) |
O1W—Cs1—O5Wi | 158.76 (19) | O31—Cs2—O9Wvii | 62.82 (15) |
O4Wi—Cs1—O3W | 159.55 (19) | O2W—Cs2—O9Wvii | 91.69 (16) |
O1W—Cs1—O3W | 112.70 (19) | O6Wix—Cs2—O9Wvii | 84.43 (16) |
O5Wi—Cs1—O3W | 61.06 (18) | O9W—Cs2—O9Wvii | 65.87 (19) |
O4Wi—Cs1—O6Wii | 94.90 (19) | O7Wviii—Cs2—O9Wvii | 177.29 (14) |
O1W—Cs1—O6Wii | 65.32 (18) | O12ii—Mg1—O31 | 104.0 (3) |
O5Wi—Cs1—O6Wii | 94.64 (19) | O12ii—Mg1—O1W | 88.1 (3) |
O3W—Cs1—O6Wii | 66.23 (17) | O31—Mg1—O1W | 90.6 (3) |
O4Wi—Cs1—O8Wiii | 128.97 (18) | O12ii—Mg1—O2W | 91.7 (3) |
O1W—Cs1—O8Wiii | 125.86 (18) | O31—Mg1—O2W | 88.6 (3) |
O5Wi—Cs1—O8Wiii | 73.09 (18) | O1W—Mg1—O2W | 179.1 (3) |
O3W—Cs1—O8Wiii | 70.86 (17) | O12ii—Mg1—O21 | 93.7 (3) |
O6Wii—Cs1—O8Wiii | 135.78 (18) | O31—Mg1—O21 | 162.0 (3) |
O4Wi—Cs1—O2Wiv | 65.55 (17) | O1W—Mg1—O21 | 92.9 (3) |
O1W—Cs1—O2Wiv | 95.32 (18) | O2W—Mg1—O21 | 88.0 (3) |
O5Wi—Cs1—O2Wiv | 66.73 (17) | O12ii—Mg1—O22 | 154.6 (3) |
O3W—Cs1—O2Wiv | 96.47 (18) | O31—Mg1—O22 | 101.2 (3) |
O6Wii—Cs1—O2Wiv | 58.45 (17) | O1W—Mg1—O22 | 89.3 (3) |
O8Wiii—Cs1—O2Wiv | 138.81 (18) | O2W—Mg1—O22 | 91.3 (3) |
O4Wi—Cs1—O10Wiii | 81.63 (18) | O21—Mg1—O22 | 61.3 (3) |
O1W—Cs1—O10Wiii | 112.04 (17) | O41—Mg2—O9W | 91.9 (3) |
O5Wi—Cs1—O10Wiii | 87.65 (17) | O41—Mg2—O7W | 89.9 (3) |
O3W—Cs1—O10Wiii | 117.33 (17) | O9W—Mg2—O7W | 176.9 (4) |
O6Wii—Cs1—O10Wiii | 176.43 (18) | O41—Mg2—O8W | 89.7 (3) |
O8Wiii—Cs1—O10Wiii | 47.59 (17) | O9W—Mg2—O8W | 88.4 (3) |
O2Wiv—Cs1—O10Wiii | 120.32 (16) | O7W—Mg2—O8W | 89.1 (3) |
O4Wi—Cs1—O52v | 110.53 (17) | O41—Mg2—O51 | 177.6 (3) |
O1W—Cs1—O52v | 111.04 (17) | O9W—Mg2—O51 | 89.5 (3) |
O5Wi—Cs1—O52v | 48.39 (17) | O7W—Mg2—O51 | 88.9 (3) |
O3W—Cs1—O52v | 50.97 (17) | O8W—Mg2—O51 | 92.3 (3) |
O6Wii—Cs1—O52v | 46.30 (17) | O41—Mg2—O53 | 116.4 (3) |
O8Wiii—Cs1—O52v | 110.27 (17) | O9W—Mg2—O53 | 90.6 (3) |
O2Wiv—Cs1—O52v | 45.51 (17) | O7W—Mg2—O53 | 90.9 (3) |
O10Wiii—Cs1—O52v | 135.79 (15) | O8W—Mg2—O53 | 153.9 (3) |
O4Wi—Cs1—O10W | 112.73 (17) | O51—Mg2—O53 | 61.6 (3) |
O1W—Cs1—O10W | 79.33 (17) | O33v—Mg3—O23 | 105.2 (3) |
O5Wi—Cs1—O10W | 118.15 (17) | O33v—Mg3—O4W | 90.5 (3) |
O3W—Cs1—O10W | 84.19 (17) | O23—Mg3—O4W | 90.0 (3) |
O6Wii—Cs1—O10W | 117.17 (16) | O33v—Mg3—O3W | 85.6 (3) |
O8Wiii—Cs1—O10W | 46.62 (16) | O23—Mg3—O3W | 90.0 (3) |
O2Wiv—Cs1—O10W | 174.40 (16) | O4W—Mg3—O3W | 176.0 (3) |
O10Wiii—Cs1—O10W | 63.82 (19) | O33v—Mg3—O12 | 92.6 (3) |
O52v—Cs1—O10W | 134.94 (15) | O23—Mg3—O12 | 162.2 (3) |
O4Wi—Cs1—O43vi | 45.4 (2) | O4W—Mg3—O12 | 89.7 (3) |
O1W—Cs1—O43vi | 44.59 (18) | O3W—Mg3—O12 | 91.5 (3) |
O5Wi—Cs1—O43vi | 117.36 (19) | O33v—Mg3—O13 | 154.5 (3) |
O3W—Cs1—O43vi | 116.1 (2) | O23—Mg3—O13 | 100.3 (3) |
O6Wii—Cs1—O43vi | 49.9 (2) | O4W—Mg3—O13 | 91.2 (3) |
O8Wiii—Cs1—O43vi | 169.12 (19) | O3W—Mg3—O13 | 92.8 (3) |
O2Wiv—Cs1—O43vi | 50.96 (18) | O12—Mg3—O13 | 61.9 (3) |
O10Wiii—Cs1—O43vi | 126.59 (19) | O11—Mg4—O21v | 103.4 (3) |
O52v—Cs1—O43vi | 80.2 (2) | O11—Mg4—O6W | 88.1 (3) |
O10W—Cs1—O43vi | 123.82 (17) | O21v—Mg4—O6W | 91.9 (3) |
O4Wi—Cs1—O11i | 76.59 (17) | O11—Mg4—O5W | 91.2 (3) |
O1W—Cs1—O11i | 138.48 (17) | O21v—Mg4—O5W | 86.3 (3) |
O5Wi—Cs1—O11i | 48.42 (16) | O6W—Mg4—O5W | 177.9 (3) |
O3W—Cs1—O11i | 107.78 (16) | O11—Mg4—O33x | 160.1 (3) |
O6Wii—Cs1—O11i | 126.97 (16) | O21v—Mg4—O33x | 96.2 (3) |
O8Wiii—Cs1—O11i | 76.01 (17) | O6W—Mg4—O33x | 88.0 (3) |
O2Wiv—Cs1—O11i | 70.93 (16) | O5W—Mg4—O33x | 93.4 (3) |
O10Wiii—Cs1—O11i | 53.13 (15) | O11—Mg4—O32x | 98.8 (3) |
C1i—Cs1—O11i | 19.35 (18) | O21v—Mg4—O32x | 157.5 (3) |
O52v—Cs1—O11i | 87.38 (15) | O6W—Mg4—O32x | 92.2 (3) |
O10W—Cs1—O11i | 114.21 (15) | O5W—Mg4—O32x | 89.9 (3) |
O43vi—Cs1—O11i | 108.19 (17) | O33x—Mg4—O32x | 61.9 (3) |
C2—Cs1—O11i | 162.70 (18) | O11—C1—O12 | 123.4 (9) |
O4Wi—Cs1—O12i | 48.47 (17) | O11—C1—O13 | 121.6 (8) |
O1W—Cs1—O12i | 109.07 (17) | O12—C1—O13 | 115.0 (8) |
O5Wi—Cs1—O12i | 67.54 (17) | O23—C2—O21 | 123.8 (9) |
O3W—Cs1—O12i | 126.08 (17) | O23—C2—O22 | 121.4 (8) |
O6Wii—Cs1—O12i | 104.30 (15) | O21—C2—O22 | 114.8 (8) |
O8Wiii—Cs1—O12i | 109.18 (16) | O31—C3—O32 | 122.1 (8) |
O2Wiv—Cs1—O12i | 46.65 (15) | O31—C3—O33 | 122.7 (9) |
O10Wiii—Cs1—O12i | 74.03 (15) | O32—C3—O33 | 115.3 (8) |
O52v—Cs1—O12i | 83.15 (15) | O43—C4—O42 | 119.5 (9) |
O10W—Cs1—O12i | 136.66 (15) | O43—C4—O41 | 119.5 (9) |
O43vi—Cs1—O12i | 74.18 (17) | O42—C4—O41 | 121.0 (9) |
C2—Cs1—O12i | 163.24 (17) | O43—C4—Cs2i | 122.3 (7) |
O11i—Cs1—O12i | 34.05 (15) | O52—C5—O53 | 124.4 (8) |
O4Wi—Cs1—O13i | 48.80 (16) | O52—C5—O51 | 120.5 (8) |
O1W—Cs1—O13i | 106.49 (16) | O53—C5—O51 | 115.1 (8) |
O5Wi—Cs1—O13i | 82.00 (16) | Mg1—O1W—Cs1 | 121.2 (3) |
O3W—Cs1—O13i | 140.80 (16) | Mg1—O2W—Cs1xi | 114.8 (3) |
O6Wii—Cs1—O13i | 134.21 (16) | Mg1—O2W—Cs2 | 87.3 (3) |
O8Wiii—Cs1—O13i | 87.06 (16) | Cs1xi—O2W—Cs2 | 157.8 (2) |
O2Wiv—Cs1—O13i | 78.95 (15) | Mg1—O2W—Cs2xii | 141.2 (3) |
O10Wiii—Cs1—O13i | 43.39 (15) | Cs1xi—O2W—Cs2xii | 103.85 (15) |
O52v—Cs1—O13i | 113.57 (14) | Cs2—O2W—Cs2xii | 53.93 (10) |
O10W—Cs1—O13i | 104.06 (14) | C3—O31—Mg1 | 129.8 (6) |
O43vi—Cs1—O13i | 91.34 (18) | C3—O31—Cs2 | 130.3 (6) |
O11i—Cs1—O13i | 33.70 (13) | Mg1—O31—Cs2 | 89.5 (2) |
O12i—Cs1—O13i | 32.64 (14) | C3—O31—Cs2vii | 52.0 (5) |
O4Wi—Cs1—O22 | 106.13 (16) | Mg1—O31—Cs2vii | 162.3 (3) |
O1W—Cs1—O22 | 47.85 (16) | Cs2—O31—Cs2vii | 100.45 (15) |
O5Wi—Cs1—O22 | 138.01 (16) | C2—O21—Mg4ii | 142.7 (7) |
O3W—Cs1—O22 | 78.46 (16) | C2—O21—Mg1 | 93.6 (6) |
O6Wii—Cs1—O22 | 77.57 (15) | Mg4ii—O21—Mg1 | 122.8 (4) |
O8Wiii—Cs1—O22 | 84.08 (16) | C2—O21—Cs1 | 70.7 (5) |
O2Wiv—Cs1—O22 | 133.02 (15) | Mg4ii—O21—Cs1 | 98.3 (2) |
O10Wiii—Cs1—O22 | 102.53 (15) | Mg1—O21—Cs1 | 91.1 (2) |
O52v—Cs1—O22 | 113.41 (14) | C2—O21—Cs1xi | 131.5 (5) |
O10W—Cs1—O22 | 41.62 (14) | Mg4ii—O21—Cs1xi | 71.6 (2) |
O43vi—Cs1—O22 | 89.08 (16) | Mg1—O21—Cs1xi | 75.9 (2) |
O11i—Cs1—O22 | 155.36 (15) | Cs1—O21—Cs1xi | 154.06 (17) |
O12i—Cs1—O22 | 154.45 (14) | C2—O21—Cs2 | 50.1 (5) |
O13i—Cs1—O22 | 132.37 (15) | Mg4ii—O21—Cs2 | 161.5 (3) |
O4Wi—Cs1—O21 | 108.32 (16) | Mg1—O21—Cs2 | 52.20 (17) |
O1W—Cs1—O21 | 47.90 (16) | Cs1—O21—Cs2 | 99.62 (13) |
O5Wi—Cs1—O21 | 123.01 (17) | Cs1xi—O21—Cs2 | 90.13 (11) |
O3W—Cs1—O21 | 64.93 (16) | C2—O22—Mg1 | 90.2 (5) |
O6Wii—Cs1—O21 | 46.11 (15) | C2—O22—Cs2 | 136.9 (5) |
O8Wiii—Cs1—O21 | 105.33 (16) | Mg1—O22—Cs2 | 95.0 (2) |
O2Wiv—Cs1—O21 | 103.78 (15) | C2—O22—Cs1 | 73.7 (5) |
O10Wiii—Cs1—O21 | 134.24 (15) | Mg1—O22—Cs1 | 92.1 (2) |
O52v—Cs1—O21 | 83.76 (14) | Cs2—O22—Cs1 | 148.4 (2) |
O10W—Cs1—O21 | 71.43 (14) | C2—O23—Mg3 | 130.8 (6) |
O43vi—Cs1—O21 | 72.18 (17) | C2—O23—Cs1 | 69.8 (5) |
O11i—Cs1—O21 | 170.94 (14) | Mg3—O23—Cs1 | 95.7 (2) |
O12i—Cs1—O21 | 145.47 (16) | C2—O23—Cs2 | 54.2 (5) |
O13i—Cs1—O21 | 154.19 (14) | Mg3—O23—Cs2 | 163.1 (3) |
O22—Cs1—O21 | 31.80 (13) | Cs1—O23—Cs2 | 100.81 (14) |
O4Wi—Cs1—O23 | 136.71 (16) | Mg3—O3W—Cs1 | 124.2 (3) |
O1W—Cs1—O23 | 74.65 (16) | Mg3—O4W—Cs1viii | 119.6 (3) |
O5Wi—Cs1—O23 | 105.83 (16) | Mg4—O5W—Cs1viii | 118.8 (3) |
O3W—Cs1—O23 | 45.84 (16) | Mg4—O5W—Cs2ix | 42.37 (17) |
O6Wii—Cs1—O23 | 69.21 (16) | Cs1viii—O5W—Cs2ix | 98.86 (18) |
O8Wiii—Cs1—O23 | 73.66 (16) | Mg4—O6W—Cs1v | 120.2 (3) |
O2Wiv—Cs1—O23 | 125.51 (15) | Mg4—O6W—Cs2ix | 84.0 (2) |
O10Wiii—Cs1—O23 | 112.81 (15) | Cs1v—O6W—Cs2ix | 155.4 (2) |
O52v—Cs1—O23 | 87.67 (14) | Mg4—O6W—Cs2xiii | 135.1 (3) |
O10W—Cs1—O23 | 51.65 (15) | Cs1v—O6W—Cs2xiii | 104.75 (15) |
O43vi—Cs1—O23 | 104.71 (17) | Cs2ix—O6W—Cs2xiii | 51.31 (9) |
O11i—Cs1—O23 | 145.33 (16) | C1—O11—Mg4 | 131.9 (6) |
O12i—Cs1—O23 | 170.81 (14) | C1—O11—Cs2ix | 126.5 (6) |
O13i—Cs1—O23 | 155.54 (14) | Mg4—O11—Cs2ix | 94.3 (2) |
O22—Cs1—O23 | 32.67 (13) | C1—O11—Cs1viii | 72.6 (5) |
O21—Cs1—O23 | 32.57 (14) | Mg4—O11—Cs1viii | 98.2 (3) |
O4Wi—Cs1—O8W | 72.94 (17) | Cs2ix—O11—Cs1viii | 134.2 (2) |
O1W—Cs1—O8W | 71.44 (16) | C1—O12—Mg1v | 144.5 (7) |
O5Wi—Cs1—O8W | 129.40 (17) | C1—O12—Mg3 | 92.2 (6) |
O3W—Cs1—O8W | 125.80 (17) | Mg1v—O12—Mg3 | 123.3 (4) |
O6Wii—Cs1—O8W | 135.59 (17) | C1—O12—Cs1viii | 71.5 (5) |
O8Wiii—Cs1—O8W | 66.15 (18) | Mg1v—O12—Cs1viii | 103.2 (3) |
O2Wiv—Cs1—O8W | 137.70 (16) | Mg3—O12—Cs1viii | 93.7 (2) |
O10Wiii—Cs1—O8W | 42.56 (15) | C1—O12—Cs2ix | 26.0 (5) |
O52v—Cs1—O8W | 176.33 (16) | Mg1v—O12—Cs2ix | 123.9 (3) |
O10W—Cs1—O8W | 42.13 (15) | Mg3—O12—Cs2ix | 109.5 (2) |
O43vi—Cs1—O8W | 103.32 (18) | Cs1viii—O12—Cs2ix | 90.21 (13) |
O11i—Cs1—O8W | 92.38 (15) | C1—O13—Mg3 | 90.8 (5) |
O12i—Cs1—O8W | 98.68 (15) | C1—O13—Cs1viii | 69.1 (5) |
O13i—Cs1—O8W | 67.61 (14) | Mg3—O13—Cs1viii | 91.7 (2) |
O22—Cs1—O8W | 66.01 (14) | C1—O13—Cs2ix | 72.2 (5) |
O21—Cs1—O8W | 96.34 (14) | Mg3—O13—Cs2ix | 150.0 (3) |
O23—Cs1—O8W | 90.46 (14) | Cs1viii—O13—Cs2ix | 104.35 (14) |
O42vii—Cs2—O42viii | 96.5 (2) | Mg2—O7W—Cs2i | 87.6 (3) |
O42vii—Cs2—O32vii | 115.7 (2) | Mg2—O8W—Cs1iii | 131.9 (3) |
O42viii—Cs2—O32vii | 106.4 (2) | Mg2—O8W—Cs1 | 114.3 (3) |
O42vii—Cs2—O22 | 101.4 (2) | Cs1iii—O8W—Cs1 | 113.85 (18) |
O42viii—Cs2—O22 | 124.1 (2) | C5—O51—Mg2 | 93.2 (5) |
O32vii—Cs2—O22 | 112.10 (17) | C5—O51—Cs1 | 156.7 (5) |
O42vii—Cs2—O53viii | 69.5 (2) | Mg2—O51—Cs1 | 110.1 (2) |
O42viii—Cs2—O53viii | 62.2 (2) | C5—O51—Cs2i | 44.7 (4) |
O32vii—Cs2—O53viii | 168.44 (17) | Mg2—O51—Cs2i | 57.54 (17) |
O22—Cs2—O53viii | 75.52 (18) | Cs1—O51—Cs2i | 151.86 (15) |
O42vii—Cs2—O11ix | 168.8 (2) | C5—O51—Cs2vii | 41.9 (5) |
O42viii—Cs2—O11ix | 77.0 (2) | Mg2—O51—Cs2vii | 60.22 (17) |
O32vii—Cs2—O11ix | 58.68 (17) | Cs1—O51—Cs2vii | 153.67 (15) |
O22—Cs2—O11ix | 89.88 (17) | Cs2i—O51—Cs2vii | 47.04 (6) |
O53viii—Cs2—O11ix | 114.14 (17) | C5—O52—Cs1ii | 163.0 (6) |
O42vii—Cs2—O53vii | 61.2 (2) | C5—O52—Cs2i | 56.8 (5) |
O42viii—Cs2—O53vii | 67.60 (19) | Cs1ii—O52—Cs2i | 108.13 (17) |
O32vii—Cs2—O53vii | 73.77 (17) | C5—O52—Cs2vii | 60.2 (5) |
O22—Cs2—O53vii | 161.46 (17) | Cs1ii—O52—Cs2vii | 104.91 (17) |
O53viii—Cs2—O53vii | 101.82 (15) | Cs2i—O52—Cs2vii | 50.61 (7) |
O11ix—Cs2—O53vii | 107.61 (17) | C4—O41—Mg2 | 124.5 (6) |
O42vii—Cs2—O31 | 67.9 (2) | C4—O41—Cs1iii | 138.8 (5) |
O42viii—Cs2—O31 | 163.9 (2) | Mg2—O41—Cs1iii | 96.2 (2) |
O32vii—Cs2—O31 | 85.09 (17) | C4—O41—Cs2i | 60.1 (5) |
O22—Cs2—O31 | 58.40 (16) | Mg2—O41—Cs2i | 73.5 (2) |
O53viii—Cs2—O31 | 106.45 (17) | Cs1iii—O41—Cs2i | 152.17 (18) |
O11ix—Cs2—O31 | 119.04 (16) | C4—O41—Cs2vii | 56.7 (5) |
O53vii—Cs2—O31 | 106.15 (16) | Mg2—O41—Cs2vii | 71.9 (2) |
O42vii—Cs2—O2W | 48.3 (2) | Cs1iii—O41—Cs2vii | 149.07 (17) |
O42viii—Cs2—O2W | 118.2 (2) | Cs2i—O41—Cs2vii | 53.02 (8) |
O32vii—Cs2—O2W | 133.11 (17) | C4—O42—Cs2vii | 145.8 (8) |
O22—Cs2—O2W | 53.27 (17) | C4—O42—Cs2i | 123.5 (7) |
O53viii—Cs2—O2W | 58.31 (17) | Cs2vii—O42—Cs2i | 83.5 (2) |
O11ix—Cs2—O2W | 142.97 (17) | C4—O42—Cs1xiv | 75.4 (6) |
O53vii—Cs2—O2W | 109.42 (17) | Cs2vii—O42—Cs1xiv | 116.4 (2) |
O31—Cs2—O2W | 48.41 (17) | Cs2i—O42—Cs1xiv | 112.2 (3) |
O42vii—Cs2—O6Wix | 120.0 (2) | C4—O43—Cs1xiv | 140.8 (7) |
O42viii—Cs2—O6Wix | 53.5 (2) | C4—O43—Cs2i | 44.8 (6) |
O32vii—Cs2—O6Wix | 53.01 (17) | Cs1xiv—O43—Cs2i | 105.1 (2) |
O22—Cs2—O6Wix | 138.61 (17) | C4—O43—Cs2vii | 41.1 (5) |
O53viii—Cs2—O6Wix | 115.48 (17) | Cs1xiv—O43—Cs2vii | 102.23 (19) |
O11ix—Cs2—O6Wix | 48.78 (17) | Cs2i—O43—Cs2vii | 49.58 (9) |
O53vii—Cs2—O6Wix | 59.37 (17) | C3—O32—Mg4xv | 91.0 (6) |
O31—Cs2—O6Wix | 137.44 (17) | C3—O32—Cs2vii | 141.6 (5) |
O2W—Cs2—O6Wix | 167.16 (17) | Mg4xv—O32—Cs2vii | 94.4 (2) |
O42vii—Cs2—O9W | 108.9 (2) | C3—O32—Cs2 | 72.2 (5) |
O42viii—Cs2—O9W | 148.0 (2) | Mg4xv—O32—Cs2 | 152.9 (3) |
O32vii—Cs2—O9W | 45.22 (16) | Cs2vii—O32—Cs2 | 112.07 (17) |
O22—Cs2—O9W | 70.37 (17) | C3—O33—Mg3ii | 146.5 (7) |
O53viii—Cs2—O9W | 144.84 (16) | C3—O33—Mg4xv | 91.9 (6) |
O11ix—Cs2—O9W | 74.59 (17) | Mg3ii—O33—Mg4xv | 120.1 (3) |
O53vii—Cs2—O9W | 107.74 (17) | C3—O33—Cs1ii | 129.4 (5) |
O31—Cs2—O9W | 47.24 (16) | Mg3ii—O33—Cs1ii | 73.4 (2) |
O2W—Cs2—O9W | 93.49 (15) | Mg4xv—O33—Cs1ii | 74.3 (2) |
O6Wix—Cs2—O9W | 96.06 (15) | C3—O33—Cs2vii | 50.4 (5) |
O42vii—Cs2—O7Wviii | 118.1 (2) | Mg3ii—O33—Cs2vii | 160.5 (3) |
O42viii—Cs2—O7Wviii | 67.99 (19) | Mg4xv—O33—Cs2vii | 50.09 (17) |
O32vii—Cs2—O7Wviii | 126.18 (17) | Cs1ii—O33—Cs2vii | 87.18 (11) |
O22—Cs2—O7Wviii | 56.80 (16) | Mg2—O9W—Cs2 | 156.6 (4) |
O53viii—Cs2—O7Wviii | 49.80 (17) | Mg2—O9W—Cs2vii | 89.1 (3) |
O11ix—Cs2—O7Wviii | 68.33 (16) | Cs2—O9W—Cs2vii | 114.13 (19) |
O53vii—Cs2—O7Wviii | 135.04 (16) | C5—O53—Mg2 | 90.1 (5) |
O31—Cs2—O7Wviii | 114.68 (15) | C5—O53—Cs2i | 136.9 (5) |
O2W—Cs2—O7Wviii | 85.72 (16) | Mg2—O53—Cs2i | 105.0 (3) |
O6Wix—Cs2—O7Wviii | 98.27 (16) | C5—O53—Cs2vii | 134.6 (5) |
O9W—Cs2—O7Wviii | 113.43 (18) | Mg2—O53—Cs2vii | 109.7 (3) |
O42vii—Cs2—O9Wvii | 60.4 (2) | Cs2i—O53—Cs2vii | 78.18 (15) |
O42viii—Cs2—O9Wvii | 114.08 (19) | Cs1iii—O10W—Cs1 | 116.18 (19) |
O32vii—Cs2—O9Wvii | 55.41 (16) | Cs1iii—O10W—Cs2 | 112.02 (16) |
O22—Cs2—O9Wvii | 120.86 (16) | Cs1—O10W—Cs2 | 118.44 (16) |
O53viii—Cs2—O9Wvii | 129.17 (16) |
Symmetry codes: (i) x−1, y, z; (ii) x−1/2, −y+3/2, z+1/2; (iii) −x+2, −y+1, −z; (iv) x−1/2, −y+3/2, z−1/2; (v) x+1/2, −y+3/2, z−1/2; (vi) −x+3/2, y+1/2, −z+1/2; (vii) −x+2, −y+1, −z+1; (viii) x+1, y, z; (ix) −x+3, −y+1, −z; (x) x+1, y, z−1; (xi) x+1/2, −y+3/2, z+1/2; (xii) −x+3, −y+1, −z+1; (xiii) x, y, z−1; (xiv) −x+3/2, y−1/2, −z+1/2; (xv) x−1, y, z+1. |
D—H···A | D—H | H···A | D···A | D—H···A |
O1W—H1A···O51 | 0.82 (5) | 1.85 (6) | 2.658 (10) | 172 (12) |
O1W—H1B···O43vi | 0.83 (5) | 1.89 (6) | 2.686 (11) | 162 (12) |
O2W—H2A···O52viii | 0.80 (5) | 2.01 (6) | 2.783 (11) | 160 (12) |
O2W—H2B···O42vii | 0.81 (5) | 1.93 (6) | 2.734 (12) | 170 (13) |
O3W—H3A···O52v | 0.82 (5) | 2.23 (6) | 2.993 (12) | 157 (11) |
O3W—H3B···O41iii | 0.82 (5) | 1.92 (6) | 2.737 (11) | 175 (12) |
O4W—H4A···O43xvi | 0.82 (5) | 1.93 (6) | 2.724 (11) | 162 (13) |
O4W—H4B···O51viii | 0.82 (5) | 1.84 (6) | 2.661 (9) | 174 (14) |
O5W—H5A···O52xvii | 0.82 (5) | 2.04 (6) | 2.853 (10) | 169 (13) |
O5W—H5B···O41ix | 0.80 (5) | 2.05 (6) | 2.831 (10) | 164 (13) |
O6W—H6A···O43iii | 0.84 (5) | 2.21 (6) | 3.021 (13) | 165 (13) |
O6W—H6B···O52x | 0.81 (5) | 1.98 (6) | 2.783 (10) | 174 (13) |
O7W—H7B···O23i | 0.83 (5) | 2.07 (7) | 2.843 (10) | 155 (13) |
O8W—H8A···O10W | 0.82 (5) | 2.02 (6) | 2.815 (10) | 165 (13) |
O8W—H8B···O10Wiii | 0.82 (5) | 2.02 (7) | 2.815 (10) | 164 (15) |
O9W—H9A···O31 | 0.82 (5) | 2.09 (7) | 2.869 (10) | 161 (13) |
O9W—H9B···O32vii | 0.82 (5) | 1.87 (7) | 2.673 (10) | 170 (13) |
O10W—H10A···O13ix | 0.81 (5) | 2.01 (6) | 2.798 (9) | 162 (13) |
O10W—H10B···O22 | 0.90 (13) | 1.84 (13) | 2.730 (10) | 169 (12) |
Symmetry codes: (i) x−1, y, z; (iii) −x+2, −y+1, −z; (v) x+1/2, −y+3/2, z−1/2; (vi) −x+3/2, y+1/2, −z+1/2; (vii) −x+2, −y+1, −z+1; (viii) x+1, y, z; (ix) −x+3, −y+1, −z; (x) x+1, y, z−1; (xvi) −x+5/2, y+1/2, −z+1/2; (xvii) x+3/2, −y+3/2, z−1/2. |