Partial hydrolysis of a sample of [Mg(dme)3][Al(hfip)4]2 crystals led to the formation of the title complex, [Mg(dme)2{HOAl(hfip)2OAl(hfip)3}] (dme = dimethoxyethane and hfipH = hexafluoroisopropanol) or [Mg(C4H10O2)2O(OH)Al2(C3HF6O)5]. The magnesium cation exhibits a distorted octahedral coordination with two bidentate dimethoxyethane molecules and a dinuclear aluminate anion, coordinated to Mg2+ via oxido and hydroxido units. The anion is an oxido-bridged species, [HOAl(hfip)2(μ-O)Al(hfip)3]2–, with one Al3+ cation tetrahedrally coordinated by an oxido (O2–) anion, a hydroxido anion, and two hfip groups, whereas the second Al3+ cation is coordinated by the oxido anion and three hfip groups.
Supporting information
CCDC reference: 2156683
Key indicators
Structure: I
- Single-crystal X-ray study
- T = 100 K
- Mean (C-C) = 0.001 Å
- R factor = 0.033
- wR factor = 0.091
- Data-to-parameter ratio = 28.6
checkCIF/PLATON results
No syntax errors found
Alert level C
PLAT230_ALERT_2_C Hirshfeld Test Diff for C16 --C17 . 6.2 s.u.
PLAT911_ALERT_3_C Missing FCF Refl Between Thmin & STh/L= 0.600 2 Report
Alert level G
PLAT063_ALERT_4_G Crystal Size Possibly too Large for Beam Size .. 0.74 mm
PLAT142_ALERT_4_G s.u. on b - Axis Small or Missing .............. 0.00016 Ang.
PLAT143_ALERT_4_G s.u. on c - Axis Small or Missing .............. 0.00017 Ang.
PLAT232_ALERT_2_G Hirshfeld Test Diff (M-X) Mg1 --O1 . 5.3 s.u.
PLAT232_ALERT_2_G Hirshfeld Test Diff (M-X) Mg1 --O3 . 5.3 s.u.
PLAT242_ALERT_2_G Low 'MainMol' Ueq as Compared to Neighbors of C9 Check
PLAT242_ALERT_2_G Low 'MainMol' Ueq as Compared to Neighbors of C11 Check
PLAT242_ALERT_2_G Low 'MainMol' Ueq as Compared to Neighbors of C12 Check
PLAT242_ALERT_2_G Low 'MainMol' Ueq as Compared to Neighbors of C14 Check
PLAT242_ALERT_2_G Low 'MainMol' Ueq as Compared to Neighbors of C18 Check
PLAT242_ALERT_2_G Low 'MainMol' Ueq as Compared to Neighbors of C21 Check
PLAT480_ALERT_4_G Long H...A H-Bond Reported H19 ..O8 . 2.62 Ang.
PLAT794_ALERT_5_G Tentative Bond Valency for Al1 (III) . 2.84 Info
PLAT794_ALERT_5_G Tentative Bond Valency for Al2 (III) . 2.85 Info
PLAT802_ALERT_4_G CIF Input Record(s) with more than 80 Characters 3 Info
PLAT910_ALERT_3_G Missing # of FCF Reflection(s) Below Theta(Min). 3 Note
PLAT912_ALERT_4_G Missing # of FCF Reflections Above STh/L= 0.600 1845 Note
PLAT951_ALERT_5_G Calculated (ThMax) and CIF-Reported Kmax Differ 3 Units
PLAT957_ALERT_1_G Calculated (ThMax) and Actual (FCF) Kmax Differ 3 Units
PLAT978_ALERT_2_G Number C-C Bonds with Positive Residual Density. 11 Info
0 ALERT level A = Most likely a serious problem - resolve or explain
0 ALERT level B = A potentially serious problem, consider carefully
2 ALERT level C = Check. Ensure it is not caused by an omission or oversight
20 ALERT level G = General information/check it is not something unexpected
1 ALERT type 1 CIF construction/syntax error, inconsistent or missing data
10 ALERT type 2 Indicator that the structure model may be wrong or deficient
2 ALERT type 3 Indicator that the structure quality may be low
6 ALERT type 4 Improvement, methodology, query or suggestion
3 ALERT type 5 Informative message, check
Data collection: CrysAlis PRO 1.171.41.123a (Rigaku OD, 2022); cell refinement: CrysAlis PRO 1.171.41.123a (Rigaku OD, 2022); data reduction: CrysAlis PRO 1.171.41.123a (Rigaku OD, 2022); program(s) used to solve structure: olex2.solve 1.5 (Dolomanov et al., 2009); program(s) used to refine structure: SHELXL2019/2 (Sheldrick, 2015); molecular graphics: DIAMOND (Brandenburg, 2005); software used to prepare material for publication: Olex2 1.5 (Dolomanov et al., 2009), publCIF (Westrip,
2010).
Bis(dimethoxyethane-1
κ2O,
O')pentakis(1,1,1,3,3,3-hexafluoropropan-2-olato)-2
κ3O,3
κ2O-µ-hydroxido-1:3
κ2O-µ
3-oxido-1:2:3
κ3O-magnesiumdialuminium
top
Crystal data top
[Al2Mg(C3HF6O)5O(OH)(C4H10O2)2] | F(000) = 2240 |
Mr = 1126.71 | Dx = 1.856 Mg m−3 |
Monoclinic, P21/n | Ag Kα radiation, λ = 0.56087 Å |
a = 10.68706 (9) Å | Cell parameters from 111325 reflections |
b = 19.53919 (16) Å | θ = 1.9–29.3° |
c = 19.31983 (17) Å | µ = 0.15 mm−1 |
β = 91.7888 (7)° | T = 100 K |
V = 4032.33 (6) Å3 | Block, colourless |
Z = 4 | 0.74 × 0.58 × 0.36 mm |
Data collection top
XtaLAB Synergy, Dualflex, Eiger2 R CdTe 1M diffractometer | 20244 independent reflections |
Radiation source: micro-focus sealed X-ray tube, PhotonJet (Ag) X-ray Source | 16165 reflections with I > 2σ(I) |
Mirror monochromator | Rint = 0.030 |
Detector resolution: 13.3333 pixels mm-1 | θmax = 29.2°, θmin = 1.7° |
ω scans | h = −18→17 |
Absorption correction: gaussian (CrysAlisPro; Rigaku OD, 2022) | k = −31→29 |
Tmin = 0.190, Tmax = 1.000 | l = −33→31 |
271135 measured reflections | |
Refinement top
Refinement on F2 | Primary atom site location: iterative |
Least-squares matrix: full | Hydrogen site location: difference Fourier map |
R[F2 > 2σ(F2)] = 0.033 | All H-atom parameters refined |
wR(F2) = 0.091 | w = 1/[σ2(Fo2) + (0.0393P)2 + 1.1133P] where P = (Fo2 + 2Fc2)/3 |
S = 1.04 | (Δ/σ)max = 0.001 |
20244 reflections | Δρmax = 0.51 e Å−3 |
708 parameters | Δρmin = −0.41 e Å−3 |
0 restraints | |
Special details top
Geometry. All esds (except the esd in the dihedral angle between two l.s. planes)
are estimated using the full covariance matrix. The cell esds are taken
into account individually in the estimation of esds in distances, angles
and torsion angles; correlations between esds in cell parameters are only
used when they are defined by crystal symmetry. An approximate (isotropic)
treatment of cell esds is used for estimating esds involving l.s. planes. |
Fractional atomic coordinates and isotropic or equivalent isotropic displacement parameters (Å2) top | x | y | z | Uiso*/Ueq | |
Al1 | 0.41472 (2) | 0.33992 (2) | 0.19998 (2) | 0.01624 (4) | |
Al2 | 0.56934 (2) | 0.45794 (2) | 0.27249 (2) | 0.01543 (4) | |
Mg1 | 0.46648 (3) | 0.30191 (2) | 0.33805 (2) | 0.01728 (5) | |
F1 | 0.06620 (6) | 0.46975 (3) | 0.17179 (3) | 0.03163 (12) | |
F2 | 0.22151 (6) | 0.51573 (3) | 0.12258 (4) | 0.04067 (16) | |
F3 | 0.07180 (7) | 0.47128 (4) | 0.06062 (4) | 0.04243 (16) | |
F4 | 0.04732 (7) | 0.33194 (4) | 0.16943 (5) | 0.04363 (17) | |
F5 | 0.19142 (6) | 0.27618 (3) | 0.11852 (4) | 0.03338 (12) | |
F6 | 0.05329 (8) | 0.33255 (4) | 0.05821 (5) | 0.0517 (2) | |
F7 | 0.73093 (7) | 0.27815 (4) | 0.09021 (5) | 0.04776 (18) | |
F8 | 0.66025 (9) | 0.21707 (5) | 0.17359 (4) | 0.0572 (2) | |
F9 | 0.67081 (8) | 0.17495 (4) | 0.07174 (4) | 0.04579 (17) | |
F10 | 0.55645 (7) | 0.30952 (4) | −0.01500 (3) | 0.04094 (15) | |
F11 | 0.36460 (6) | 0.28918 (4) | 0.00501 (3) | 0.03925 (14) | |
F12 | 0.48778 (10) | 0.20632 (4) | −0.01903 (4) | 0.0544 (2) | |
F13 | 0.49310 (7) | 0.65885 (3) | 0.36062 (3) | 0.03434 (13) | |
F14 | 0.60216 (6) | 0.63480 (3) | 0.27238 (4) | 0.03464 (13) | |
F15 | 0.43057 (7) | 0.69180 (3) | 0.25870 (4) | 0.03847 (14) | |
F16 | 0.27865 (6) | 0.58285 (4) | 0.37760 (3) | 0.03851 (14) | |
F17 | 0.22303 (5) | 0.51681 (3) | 0.29389 (3) | 0.03107 (12) | |
F18 | 0.21428 (6) | 0.62570 (3) | 0.27978 (5) | 0.04278 (17) | |
F19 | 0.81725 (6) | 0.51700 (4) | 0.11235 (4) | 0.03499 (13) | |
F20 | 0.77974 (6) | 0.41675 (3) | 0.15412 (4) | 0.03677 (13) | |
F21 | 0.74822 (7) | 0.43637 (4) | 0.04498 (4) | 0.04225 (16) | |
F22 | 0.61743 (6) | 0.60467 (3) | 0.11394 (3) | 0.03073 (12) | |
F23 | 0.44244 (6) | 0.55794 (3) | 0.08514 (3) | 0.03263 (12) | |
F24 | 0.59871 (6) | 0.54889 (3) | 0.01780 (3) | 0.03319 (12) | |
F25 | 0.96494 (6) | 0.46007 (4) | 0.30957 (4) | 0.03830 (14) | |
F26 | 0.86681 (6) | 0.53893 (4) | 0.25256 (3) | 0.03504 (13) | |
F27 | 0.96813 (6) | 0.56408 (4) | 0.34683 (4) | 0.04336 (17) | |
F28 | 0.86092 (7) | 0.42067 (3) | 0.43543 (3) | 0.03476 (13) | |
F29 | 0.69549 (6) | 0.47610 (3) | 0.46362 (3) | 0.03220 (12) | |
F30 | 0.87415 (6) | 0.52693 (4) | 0.46509 (3) | 0.03517 (13) | |
O1 | 0.29692 (6) | 0.34050 (3) | 0.37637 (3) | 0.02293 (10) | |
O2 | 0.52465 (6) | 0.34968 (3) | 0.43109 (3) | 0.02254 (10) | |
O3 | 0.44219 (6) | 0.20753 (3) | 0.38991 (3) | 0.02446 (11) | |
O4 | 0.63661 (6) | 0.25207 (3) | 0.32627 (3) | 0.02330 (11) | |
O5 | 0.37785 (6) | 0.26714 (3) | 0.24941 (3) | 0.02023 (10) | |
H5 | 0.3322 (16) | 0.2404 (9) | 0.2369 (9) | 0.049 (4)* | |
O6 | 0.50145 (5) | 0.37714 (3) | 0.26817 (3) | 0.01686 (9) | |
O7 | 0.28867 (6) | 0.39253 (3) | 0.17783 (3) | 0.02079 (10) | |
O8 | 0.49285 (6) | 0.31877 (3) | 0.12510 (3) | 0.02178 (10) | |
O9 | 0.47985 (5) | 0.52008 (3) | 0.31503 (3) | 0.01874 (9) | |
O10 | 0.58483 (6) | 0.49367 (3) | 0.19124 (3) | 0.02288 (11) | |
O11 | 0.70824 (5) | 0.45135 (3) | 0.32217 (3) | 0.01976 (10) | |
C1 | 0.17918 (9) | 0.34707 (5) | 0.33840 (5) | 0.02870 (16) | |
H1A | 0.1831 (14) | 0.3858 (8) | 0.3053 (8) | 0.038 (4)* | |
H1C | 0.1646 (15) | 0.3046 (8) | 0.3152 (8) | 0.040 (4)* | |
H1B | 0.1156 (14) | 0.3533 (8) | 0.3718 (8) | 0.040 (4)* | |
C2 | 0.32258 (10) | 0.39816 (5) | 0.42095 (5) | 0.02961 (17) | |
H2A | 0.3473 (14) | 0.4374 (8) | 0.3930 (8) | 0.037 (4)* | |
H2B | 0.2469 (14) | 0.4092 (8) | 0.4451 (8) | 0.039 (4)* | |
C3 | 0.42423 (10) | 0.37570 (5) | 0.47120 (5) | 0.03070 (17) | |
H3B | 0.4521 (13) | 0.4121 (7) | 0.4995 (7) | 0.031 (3)* | |
H3A | 0.3943 (14) | 0.3386 (8) | 0.5004 (8) | 0.035 (4)* | |
C4 | 0.62251 (11) | 0.32156 (5) | 0.47528 (5) | 0.03130 (18) | |
H4B | 0.6448 (14) | 0.3529 (8) | 0.5115 (8) | 0.037 (4)* | |
H4C | 0.6937 (16) | 0.3137 (8) | 0.4477 (9) | 0.045 (4)* | |
H4A | 0.5926 (15) | 0.2781 (9) | 0.4935 (9) | 0.045 (4)* | |
C5 | 0.32458 (11) | 0.18162 (5) | 0.41272 (6) | 0.0359 (2) | |
H5C | 0.2789 (14) | 0.2185 (8) | 0.4320 (8) | 0.038 (4)* | |
H5A | 0.2754 (16) | 0.1637 (9) | 0.3727 (9) | 0.048 (4)* | |
H5B | 0.3371 (17) | 0.1489 (9) | 0.4475 (10) | 0.052 (5)* | |
C6 | 0.51608 (9) | 0.15551 (4) | 0.35816 (5) | 0.02861 (16) | |
H6A | 0.4813 (12) | 0.1462 (7) | 0.3124 (7) | 0.027 (3)* | |
H6B | 0.5159 (13) | 0.1139 (8) | 0.3857 (8) | 0.034 (4)* | |
C7 | 0.64631 (9) | 0.18360 (4) | 0.35300 (5) | 0.02821 (16) | |
H7A | 0.6873 (14) | 0.1849 (8) | 0.3989 (8) | 0.035 (4)* | |
H7B | 0.6992 (13) | 0.1562 (7) | 0.3216 (7) | 0.029 (3)* | |
C8 | 0.75742 (9) | 0.28065 (5) | 0.31208 (6) | 0.03016 (17) | |
H8A | 0.8135 (15) | 0.2785 (8) | 0.3543 (8) | 0.043 (4)* | |
H8C | 0.7467 (14) | 0.3266 (8) | 0.2988 (8) | 0.038 (4)* | |
H8B | 0.7958 (14) | 0.2541 (8) | 0.2782 (8) | 0.039 (4)* | |
C9 | 0.14136 (8) | 0.46345 (5) | 0.11889 (5) | 0.02515 (14) | |
C10 | 0.21298 (7) | 0.39570 (4) | 0.11929 (4) | 0.02025 (12) | |
H10 | 0.2557 (12) | 0.3934 (7) | 0.0767 (7) | 0.024 (3)* | |
C11 | 0.12361 (9) | 0.33443 (5) | 0.11643 (5) | 0.02846 (16) | |
C12 | 0.64542 (10) | 0.23239 (5) | 0.10666 (5) | 0.03190 (18) | |
C13 | 0.51129 (8) | 0.25717 (4) | 0.09276 (4) | 0.02233 (13) | |
H13 | 0.4584 (12) | 0.2203 (6) | 0.1078 (7) | 0.022 (3)* | |
C14 | 0.48145 (9) | 0.26547 (5) | 0.01520 (4) | 0.02813 (16) | |
C15 | 0.48497 (8) | 0.64011 (4) | 0.29406 (5) | 0.02447 (14) | |
C16 | 0.41558 (7) | 0.57232 (4) | 0.28234 (4) | 0.01904 (12) | |
H16 | 0.4087 (11) | 0.5678 (6) | 0.2321 (6) | 0.021 (3)* | |
C17 | 0.28263 (8) | 0.57470 (4) | 0.30916 (5) | 0.02403 (14) | |
C18 | 0.73865 (9) | 0.46338 (5) | 0.10836 (5) | 0.02699 (15) | |
C19 | 0.60311 (8) | 0.48311 (4) | 0.12248 (4) | 0.02093 (12) | |
H19 | 0.5527 (13) | 0.4469 (7) | 0.1023 (7) | 0.030 (3)* | |
C20 | 0.56621 (8) | 0.54919 (4) | 0.08447 (4) | 0.02334 (14) | |
C21 | 0.89578 (8) | 0.51608 (5) | 0.31614 (5) | 0.02559 (15) | |
C22 | 0.77568 (7) | 0.50234 (4) | 0.35500 (4) | 0.01897 (12) | |
H22 | 0.7350 (12) | 0.5469 (7) | 0.3583 (7) | 0.025 (3)* | |
C23 | 0.80330 (8) | 0.48113 (4) | 0.43008 (4) | 0.02438 (14) | |
Atomic displacement parameters (Å2) top | U11 | U22 | U33 | U12 | U13 | U23 |
Al1 | 0.01831 (9) | 0.01458 (9) | 0.01574 (9) | 0.00019 (7) | −0.00074 (7) | −0.00034 (7) |
Al2 | 0.01654 (9) | 0.01461 (9) | 0.01512 (9) | −0.00019 (7) | 0.00018 (7) | 0.00011 (7) |
Mg1 | 0.02029 (11) | 0.01498 (10) | 0.01656 (11) | 0.00142 (8) | 0.00043 (9) | 0.00067 (8) |
F1 | 0.0274 (3) | 0.0332 (3) | 0.0347 (3) | 0.0076 (2) | 0.0061 (2) | −0.0026 (2) |
F2 | 0.0327 (3) | 0.0230 (3) | 0.0664 (5) | −0.0001 (2) | 0.0036 (3) | 0.0121 (3) |
F3 | 0.0431 (4) | 0.0506 (4) | 0.0329 (3) | 0.0187 (3) | −0.0094 (3) | 0.0102 (3) |
F4 | 0.0331 (3) | 0.0345 (3) | 0.0642 (5) | −0.0082 (2) | 0.0178 (3) | −0.0005 (3) |
F5 | 0.0364 (3) | 0.0228 (2) | 0.0407 (3) | 0.0001 (2) | −0.0032 (2) | −0.0059 (2) |
F6 | 0.0488 (4) | 0.0464 (4) | 0.0577 (5) | 0.0000 (3) | −0.0317 (4) | −0.0112 (3) |
F7 | 0.0272 (3) | 0.0464 (4) | 0.0694 (5) | 0.0010 (3) | −0.0019 (3) | −0.0088 (4) |
F8 | 0.0619 (5) | 0.0781 (6) | 0.0311 (3) | 0.0354 (5) | −0.0087 (3) | 0.0025 (4) |
F9 | 0.0512 (4) | 0.0343 (3) | 0.0523 (4) | 0.0177 (3) | 0.0092 (3) | −0.0090 (3) |
F10 | 0.0406 (3) | 0.0548 (4) | 0.0280 (3) | 0.0016 (3) | 0.0094 (3) | 0.0131 (3) |
F11 | 0.0321 (3) | 0.0574 (4) | 0.0278 (3) | 0.0024 (3) | −0.0062 (2) | −0.0015 (3) |
F12 | 0.0884 (6) | 0.0434 (4) | 0.0309 (3) | 0.0099 (4) | −0.0071 (4) | −0.0201 (3) |
F13 | 0.0451 (3) | 0.0271 (3) | 0.0307 (3) | −0.0072 (2) | −0.0010 (2) | −0.0088 (2) |
F14 | 0.0308 (3) | 0.0285 (3) | 0.0450 (3) | −0.0077 (2) | 0.0078 (2) | −0.0005 (2) |
F15 | 0.0503 (4) | 0.0182 (2) | 0.0465 (4) | 0.0015 (2) | −0.0046 (3) | 0.0093 (2) |
F16 | 0.0319 (3) | 0.0528 (4) | 0.0313 (3) | −0.0010 (3) | 0.0091 (2) | −0.0138 (3) |
F17 | 0.0242 (2) | 0.0264 (2) | 0.0424 (3) | −0.00347 (19) | −0.0005 (2) | −0.0038 (2) |
F18 | 0.0292 (3) | 0.0297 (3) | 0.0692 (5) | 0.0119 (2) | −0.0024 (3) | 0.0103 (3) |
F19 | 0.0233 (2) | 0.0422 (3) | 0.0397 (3) | −0.0061 (2) | 0.0044 (2) | −0.0007 (3) |
F20 | 0.0380 (3) | 0.0344 (3) | 0.0378 (3) | 0.0111 (2) | −0.0008 (3) | 0.0007 (2) |
F21 | 0.0451 (4) | 0.0529 (4) | 0.0293 (3) | 0.0044 (3) | 0.0098 (3) | −0.0140 (3) |
F22 | 0.0386 (3) | 0.0233 (2) | 0.0297 (3) | −0.0088 (2) | −0.0080 (2) | 0.00409 (19) |
F23 | 0.0251 (3) | 0.0375 (3) | 0.0350 (3) | −0.0014 (2) | −0.0043 (2) | 0.0082 (2) |
F24 | 0.0394 (3) | 0.0418 (3) | 0.0183 (2) | −0.0107 (2) | 0.0001 (2) | 0.0072 (2) |
F25 | 0.0263 (3) | 0.0432 (3) | 0.0460 (4) | 0.0102 (2) | 0.0106 (3) | −0.0001 (3) |
F26 | 0.0377 (3) | 0.0402 (3) | 0.0276 (3) | −0.0050 (2) | 0.0060 (2) | 0.0064 (2) |
F27 | 0.0316 (3) | 0.0530 (4) | 0.0457 (4) | −0.0215 (3) | 0.0060 (3) | −0.0140 (3) |
F28 | 0.0428 (3) | 0.0315 (3) | 0.0295 (3) | 0.0118 (2) | −0.0062 (2) | 0.0031 (2) |
F29 | 0.0361 (3) | 0.0365 (3) | 0.0244 (2) | −0.0020 (2) | 0.0077 (2) | −0.0015 (2) |
F30 | 0.0378 (3) | 0.0406 (3) | 0.0265 (3) | −0.0049 (2) | −0.0085 (2) | −0.0095 (2) |
O1 | 0.0240 (3) | 0.0205 (2) | 0.0244 (3) | 0.00244 (19) | 0.0033 (2) | −0.00119 (19) |
O2 | 0.0286 (3) | 0.0220 (2) | 0.0170 (2) | 0.0018 (2) | 0.0000 (2) | −0.00050 (18) |
O3 | 0.0308 (3) | 0.0172 (2) | 0.0256 (3) | 0.0007 (2) | 0.0030 (2) | 0.00293 (19) |
O4 | 0.0218 (2) | 0.0196 (2) | 0.0284 (3) | 0.00416 (19) | −0.0010 (2) | −0.0006 (2) |
O5 | 0.0246 (3) | 0.0155 (2) | 0.0205 (2) | −0.00338 (18) | −0.00220 (19) | 0.00048 (17) |
O6 | 0.0194 (2) | 0.0147 (2) | 0.0165 (2) | −0.00084 (16) | −0.00088 (17) | −0.00027 (15) |
O7 | 0.0213 (2) | 0.0201 (2) | 0.0207 (2) | 0.00311 (18) | −0.00353 (19) | −0.00046 (18) |
O8 | 0.0271 (3) | 0.0192 (2) | 0.0192 (2) | 0.00076 (19) | 0.0030 (2) | −0.00330 (18) |
O9 | 0.0221 (2) | 0.0158 (2) | 0.0182 (2) | 0.00351 (17) | 0.00021 (18) | 0.00063 (16) |
O10 | 0.0296 (3) | 0.0233 (3) | 0.0159 (2) | 0.0006 (2) | 0.0033 (2) | 0.00277 (18) |
O11 | 0.0188 (2) | 0.0186 (2) | 0.0217 (2) | 0.00000 (17) | −0.00343 (18) | −0.00258 (18) |
C1 | 0.0224 (4) | 0.0315 (4) | 0.0323 (4) | 0.0038 (3) | 0.0033 (3) | 0.0013 (3) |
C2 | 0.0323 (4) | 0.0255 (4) | 0.0314 (4) | 0.0050 (3) | 0.0057 (3) | −0.0073 (3) |
C3 | 0.0364 (5) | 0.0350 (4) | 0.0210 (3) | 0.0013 (3) | 0.0057 (3) | −0.0065 (3) |
C4 | 0.0396 (5) | 0.0304 (4) | 0.0233 (4) | 0.0023 (3) | −0.0094 (3) | −0.0001 (3) |
C5 | 0.0415 (5) | 0.0237 (4) | 0.0431 (5) | −0.0048 (3) | 0.0132 (4) | 0.0057 (4) |
C6 | 0.0332 (4) | 0.0168 (3) | 0.0356 (4) | 0.0042 (3) | −0.0025 (3) | −0.0003 (3) |
C7 | 0.0295 (4) | 0.0202 (3) | 0.0346 (4) | 0.0073 (3) | −0.0050 (3) | −0.0003 (3) |
C8 | 0.0220 (4) | 0.0286 (4) | 0.0400 (5) | 0.0028 (3) | 0.0020 (3) | −0.0042 (3) |
C9 | 0.0220 (3) | 0.0260 (4) | 0.0274 (4) | 0.0044 (3) | −0.0003 (3) | 0.0060 (3) |
C10 | 0.0196 (3) | 0.0227 (3) | 0.0184 (3) | 0.0023 (2) | −0.0001 (2) | 0.0015 (2) |
C11 | 0.0253 (4) | 0.0268 (4) | 0.0329 (4) | −0.0008 (3) | −0.0049 (3) | −0.0038 (3) |
C12 | 0.0364 (5) | 0.0312 (4) | 0.0281 (4) | 0.0113 (3) | −0.0002 (3) | −0.0035 (3) |
C13 | 0.0287 (4) | 0.0193 (3) | 0.0191 (3) | 0.0010 (2) | 0.0021 (3) | −0.0019 (2) |
C14 | 0.0338 (4) | 0.0307 (4) | 0.0199 (3) | 0.0019 (3) | 0.0010 (3) | −0.0048 (3) |
C15 | 0.0294 (4) | 0.0172 (3) | 0.0267 (4) | −0.0003 (3) | −0.0001 (3) | 0.0004 (2) |
C16 | 0.0217 (3) | 0.0159 (3) | 0.0194 (3) | 0.0017 (2) | −0.0008 (2) | −0.0003 (2) |
C17 | 0.0230 (3) | 0.0199 (3) | 0.0290 (4) | 0.0036 (2) | −0.0011 (3) | −0.0024 (3) |
C18 | 0.0276 (4) | 0.0304 (4) | 0.0231 (3) | 0.0008 (3) | 0.0035 (3) | −0.0034 (3) |
C19 | 0.0233 (3) | 0.0223 (3) | 0.0173 (3) | −0.0040 (2) | 0.0014 (2) | 0.0011 (2) |
C20 | 0.0252 (3) | 0.0260 (3) | 0.0187 (3) | −0.0069 (3) | −0.0022 (3) | 0.0039 (2) |
C21 | 0.0210 (3) | 0.0288 (4) | 0.0270 (4) | −0.0030 (3) | 0.0016 (3) | −0.0030 (3) |
C22 | 0.0174 (3) | 0.0193 (3) | 0.0201 (3) | 0.0004 (2) | −0.0006 (2) | −0.0022 (2) |
C23 | 0.0268 (4) | 0.0252 (3) | 0.0210 (3) | 0.0015 (3) | −0.0022 (3) | −0.0031 (3) |
Geometric parameters (Å, º) top
Al1—Mg1 | 2.8074 (3) | O2—C4 | 1.4384 (11) |
Al1—O5 | 1.7644 (6) | O3—C5 | 1.4370 (12) |
Al1—O6 | 1.7456 (6) | O3—C6 | 1.4365 (11) |
Al1—O7 | 1.7374 (6) | O4—C7 | 1.4367 (11) |
Al1—O8 | 1.7425 (6) | O4—C8 | 1.4409 (11) |
Al2—O6 | 1.7384 (6) | O5—H5 | 0.750 (18) |
Al2—O9 | 1.7645 (6) | O7—C10 | 1.3713 (9) |
Al2—O10 | 1.7307 (6) | O8—C13 | 1.3731 (9) |
Al2—O11 | 1.7472 (6) | O9—C16 | 1.3731 (9) |
Mg1—O1 | 2.1175 (7) | O10—C19 | 1.3644 (9) |
Mg1—O2 | 2.1021 (6) | O11—C22 | 1.3731 (9) |
Mg1—O3 | 2.1185 (6) | C1—H1A | 0.993 (16) |
Mg1—O4 | 2.0813 (6) | C1—H1C | 0.953 (16) |
Mg1—O5 | 2.0470 (6) | C1—H1B | 0.960 (16) |
Mg1—O6 | 2.0383 (6) | C2—H2A | 0.979 (15) |
F1—C9 | 1.3252 (11) | C2—H2B | 0.970 (16) |
F2—C9 | 1.3336 (11) | C2—C3 | 1.4998 (15) |
F3—C9 | 1.3384 (11) | C3—H3B | 0.940 (14) |
F4—C11 | 1.3296 (12) | C3—H3A | 0.978 (15) |
F5—C11 | 1.3491 (11) | C4—H4B | 0.954 (15) |
F6—C11 | 1.3337 (11) | C4—H4C | 0.955 (17) |
F7—C12 | 1.3242 (14) | C4—H4A | 0.977 (17) |
F8—C12 | 1.3320 (12) | C5—H5C | 0.953 (16) |
F9—C12 | 1.3417 (12) | C5—H5A | 0.985 (18) |
F10—C14 | 1.3239 (12) | C5—H5B | 0.934 (18) |
F11—C14 | 1.3406 (12) | C6—H6A | 0.965 (13) |
F12—C14 | 1.3344 (11) | C6—H6B | 0.973 (15) |
F13—C15 | 1.3372 (11) | C6—C7 | 1.5023 (14) |
F14—C15 | 1.3369 (11) | C7—H7A | 0.977 (15) |
F15—C15 | 1.3418 (10) | C7—H7B | 0.997 (14) |
F16—C17 | 1.3337 (11) | C8—H8A | 0.997 (16) |
F17—C17 | 1.3269 (10) | C8—H8C | 0.940 (16) |
F18—C17 | 1.3502 (10) | C8—H8B | 0.940 (16) |
F19—C18 | 1.3436 (11) | C9—C10 | 1.5289 (11) |
F20—C18 | 1.3342 (11) | C10—H10 | 0.955 (13) |
F21—C18 | 1.3401 (11) | C10—C11 | 1.5314 (12) |
F22—C20 | 1.3341 (10) | C12—C13 | 1.5288 (13) |
F23—C20 | 1.3342 (10) | C13—H13 | 0.966 (13) |
F24—C20 | 1.3447 (10) | C13—C14 | 1.5309 (12) |
F25—C21 | 1.3290 (11) | C15—C16 | 1.5313 (11) |
F26—C21 | 1.3342 (11) | C16—H16 | 0.975 (12) |
F27—C21 | 1.3418 (10) | C16—C17 | 1.5282 (12) |
F28—C23 | 1.3347 (10) | C18—C19 | 1.5317 (12) |
F29—C23 | 1.3430 (11) | C19—H19 | 0.964 (14) |
F30—C23 | 1.3416 (10) | C19—C20 | 1.5308 (12) |
O1—C1 | 1.4423 (11) | C21—C22 | 1.5308 (11) |
O1—C2 | 1.4393 (11) | C22—H22 | 0.976 (13) |
O2—C3 | 1.4362 (11) | C22—C23 | 1.5284 (11) |
| | | |
O5—Al1—Mg1 | 46.62 (2) | C6—C7—H7A | 109.9 (9) |
O6—Al1—Mg1 | 46.280 (19) | C6—C7—H7B | 112.9 (8) |
O6—Al1—O5 | 92.84 (3) | H7A—C7—H7B | 108.6 (11) |
O7—Al1—Mg1 | 121.25 (2) | O4—C8—H8A | 110.3 (9) |
O7—Al1—O5 | 115.19 (3) | O4—C8—H8C | 108.7 (9) |
O7—Al1—O6 | 109.19 (3) | O4—C8—H8B | 109.4 (9) |
O7—Al1—O8 | 108.90 (3) | H8A—C8—H8C | 109.1 (13) |
O8—Al1—Mg1 | 129.85 (2) | H8A—C8—H8B | 106.3 (13) |
O8—Al1—O5 | 112.28 (3) | H8C—C8—H8B | 113.0 (13) |
O8—Al1—O6 | 117.93 (3) | F1—C9—F2 | 106.94 (8) |
O6—Al2—O9 | 114.57 (3) | F1—C9—F3 | 107.70 (7) |
O6—Al2—O11 | 107.80 (3) | F1—C9—C10 | 113.08 (7) |
O10—Al2—O6 | 111.99 (3) | F2—C9—F3 | 107.24 (8) |
O10—Al2—O9 | 102.33 (3) | F2—C9—C10 | 110.02 (7) |
O10—Al2—O11 | 115.11 (3) | F3—C9—C10 | 111.59 (8) |
O11—Al2—O9 | 104.97 (3) | O7—C10—C9 | 108.99 (7) |
O1—Mg1—Al1 | 95.31 (2) | O7—C10—H10 | 115.1 (8) |
O1—Mg1—O3 | 91.48 (3) | O7—C10—C11 | 110.22 (7) |
O2—Mg1—Al1 | 137.67 (2) | C9—C10—H10 | 106.8 (8) |
O2—Mg1—O1 | 77.08 (3) | C9—C10—C11 | 111.41 (7) |
O2—Mg1—O3 | 91.11 (3) | C11—C10—H10 | 104.2 (8) |
O3—Mg1—Al1 | 131.01 (2) | F4—C11—F5 | 106.72 (8) |
O4—Mg1—Al1 | 99.60 (2) | F4—C11—F6 | 107.79 (9) |
O4—Mg1—O1 | 164.77 (3) | F4—C11—C10 | 113.43 (8) |
O4—Mg1—O2 | 93.74 (3) | F5—C11—C10 | 108.94 (7) |
O4—Mg1—O3 | 76.40 (3) | F6—C11—F5 | 106.86 (8) |
O5—Mg1—Al1 | 38.791 (17) | F6—C11—C10 | 112.73 (8) |
O5—Mg1—O1 | 91.83 (3) | F7—C12—F8 | 108.82 (10) |
O5—Mg1—O2 | 168.38 (3) | F7—C12—F9 | 106.99 (9) |
O5—Mg1—O3 | 92.66 (3) | F7—C12—C13 | 113.23 (8) |
O5—Mg1—O4 | 97.83 (3) | F8—C12—F9 | 106.27 (9) |
O6—Mg1—Al1 | 38.241 (16) | F8—C12—C13 | 108.92 (8) |
O6—Mg1—O1 | 98.71 (3) | F9—C12—C13 | 112.33 (9) |
O6—Mg1—O2 | 101.00 (2) | O8—C13—C12 | 110.17 (7) |
O6—Mg1—O3 | 165.62 (3) | O8—C13—H13 | 115.0 (7) |
O6—Mg1—O4 | 94.94 (3) | O8—C13—C14 | 108.92 (7) |
O6—Mg1—O5 | 76.99 (2) | C12—C13—H13 | 105.4 (8) |
C1—O1—Mg1 | 126.61 (5) | C12—C13—C14 | 111.77 (7) |
C2—O1—Mg1 | 109.81 (5) | C14—C13—H13 | 105.6 (8) |
C2—O1—C1 | 112.43 (7) | F10—C14—F11 | 106.54 (8) |
C3—O2—Mg1 | 114.36 (6) | F10—C14—F12 | 107.70 (8) |
C3—O2—C4 | 110.90 (7) | F10—C14—C13 | 112.93 (8) |
C4—O2—Mg1 | 121.88 (5) | F11—C14—C13 | 110.17 (7) |
C5—O3—Mg1 | 124.96 (6) | F12—C14—F11 | 106.74 (8) |
C6—O3—Mg1 | 109.69 (5) | F12—C14—C13 | 112.41 (8) |
C6—O3—C5 | 112.30 (7) | F13—C15—F15 | 107.31 (7) |
C7—O4—Mg1 | 116.74 (5) | F13—C15—C16 | 113.31 (7) |
C7—O4—C8 | 111.98 (7) | F14—C15—F13 | 106.81 (8) |
C8—O4—Mg1 | 129.09 (5) | F14—C15—F15 | 107.11 (7) |
Al1—O5—Mg1 | 94.59 (3) | F14—C15—C16 | 109.92 (7) |
Al1—O5—H5 | 122.8 (13) | F15—C15—C16 | 112.06 (7) |
Mg1—O5—H5 | 141.3 (13) | O9—C16—C15 | 110.00 (6) |
Al1—O6—Mg1 | 95.48 (3) | O9—C16—H16 | 114.3 (7) |
Al2—O6—Al1 | 128.72 (3) | O9—C16—C17 | 108.89 (6) |
Al2—O6—Mg1 | 135.07 (3) | C15—C16—H16 | 104.3 (7) |
C10—O7—Al1 | 131.50 (5) | C17—C16—C15 | 112.01 (6) |
C13—O8—Al1 | 131.68 (5) | C17—C16—H16 | 107.4 (7) |
C16—O9—Al2 | 124.61 (5) | F16—C17—F18 | 107.16 (7) |
C19—O10—Al2 | 147.43 (6) | F16—C17—C16 | 113.48 (7) |
C22—O11—Al2 | 128.68 (5) | F17—C17—F16 | 107.00 (8) |
O1—C1—H1A | 110.0 (9) | F17—C17—F18 | 106.62 (7) |
O1—C1—H1C | 106.8 (10) | F17—C17—C16 | 110.10 (7) |
O1—C1—H1B | 107.1 (9) | F18—C17—C16 | 112.11 (7) |
H1A—C1—H1C | 111.6 (13) | F19—C18—C19 | 112.73 (7) |
H1A—C1—H1B | 112.5 (13) | F20—C18—F19 | 107.59 (8) |
H1C—C1—H1B | 108.6 (13) | F20—C18—F21 | 107.68 (8) |
O1—C2—H2A | 109.4 (9) | F20—C18—C19 | 110.33 (7) |
O1—C2—H2B | 108.4 (9) | F21—C18—F19 | 107.10 (8) |
O1—C2—C3 | 106.19 (7) | F21—C18—C19 | 111.19 (8) |
H2A—C2—H2B | 109.6 (13) | O10—C19—C18 | 112.11 (7) |
C3—C2—H2A | 112.6 (9) | O10—C19—H19 | 114.2 (8) |
C3—C2—H2B | 110.6 (9) | O10—C19—C20 | 107.27 (7) |
O2—C3—C2 | 107.02 (7) | C18—C19—H19 | 105.3 (8) |
O2—C3—H3B | 110.7 (9) | C20—C19—C18 | 110.97 (7) |
O2—C3—H3A | 108.2 (9) | C20—C19—H19 | 107.0 (8) |
C2—C3—H3B | 111.4 (9) | F22—C20—F23 | 106.59 (8) |
C2—C3—H3A | 110.2 (9) | F22—C20—F24 | 107.31 (7) |
H3B—C3—H3A | 109.3 (12) | F22—C20—C19 | 112.61 (7) |
O2—C4—H4B | 110.5 (9) | F23—C20—F24 | 107.19 (7) |
O2—C4—H4C | 107.9 (10) | F23—C20—C19 | 110.13 (7) |
O2—C4—H4A | 107.8 (10) | F24—C20—C19 | 112.68 (7) |
H4B—C4—H4C | 109.1 (13) | F25—C21—F26 | 107.54 (8) |
H4B—C4—H4A | 111.8 (13) | F25—C21—F27 | 107.66 (8) |
H4C—C4—H4A | 109.7 (14) | F25—C21—C22 | 112.32 (7) |
O3—C5—H5C | 108.5 (9) | F26—C21—F27 | 106.68 (8) |
O3—C5—H5A | 109.6 (10) | F26—C21—C22 | 109.65 (7) |
O3—C5—H5B | 110.8 (11) | F27—C21—C22 | 112.72 (7) |
H5C—C5—H5A | 108.0 (13) | O11—C22—C21 | 109.68 (6) |
H5C—C5—H5B | 107.4 (14) | O11—C22—H22 | 116.7 (8) |
H5A—C5—H5B | 112.4 (15) | O11—C22—C23 | 108.94 (6) |
O3—C6—H6A | 108.8 (8) | C21—C22—H22 | 104.9 (8) |
O3—C6—H6B | 110.4 (9) | C23—C22—C21 | 111.90 (7) |
O3—C6—C7 | 107.01 (7) | C23—C22—H22 | 104.7 (8) |
H6A—C6—H6B | 109.7 (12) | F28—C23—F29 | 107.37 (8) |
C7—C6—H6A | 109.8 (8) | F28—C23—F30 | 107.43 (7) |
C7—C6—H6B | 111.1 (9) | F28—C23—C22 | 112.86 (7) |
O4—C7—C6 | 107.91 (7) | F29—C23—C22 | 109.54 (7) |
O4—C7—H7A | 109.1 (9) | F30—C23—F29 | 106.55 (7) |
O4—C7—H7B | 108.5 (8) | F30—C23—C22 | 112.76 (7) |
| | | |
Al1—O7—C10—C9 | −164.38 (6) | O6—Al2—O10—C19 | −31.10 (12) |
Al1—O7—C10—C11 | 73.05 (9) | O6—Al2—O11—C22 | −160.88 (6) |
Al1—O8—C13—C12 | −104.13 (8) | O7—Al1—O5—Mg1 | −110.14 (3) |
Al1—O8—C13—C14 | 132.95 (7) | O7—Al1—O6—Al2 | −56.01 (5) |
Al2—O9—C16—C15 | −105.20 (7) | O7—Al1—O6—Mg1 | 115.29 (3) |
Al2—O9—C16—C17 | 131.71 (6) | O7—Al1—O8—C13 | −116.23 (7) |
Al2—O10—C19—C18 | −73.76 (12) | O7—C10—C11—F4 | 61.25 (10) |
Al2—O10—C19—C20 | 164.18 (8) | O7—C10—C11—F5 | −57.46 (9) |
Al2—O11—C22—C21 | −107.26 (7) | O7—C10—C11—F6 | −175.90 (8) |
Al2—O11—C22—C23 | 129.95 (6) | O8—Al1—O5—Mg1 | 124.45 (3) |
Mg1—Al1—O6—Al2 | −171.30 (6) | O8—Al1—O6—Al2 | 68.93 (5) |
Mg1—Al1—O7—C10 | −148.45 (6) | O8—Al1—O6—Mg1 | −119.77 (3) |
Mg1—Al1—O8—C13 | 63.88 (8) | O8—Al1—O7—C10 | 31.66 (8) |
Mg1—O1—C2—C3 | −49.83 (8) | O8—C13—C14—F10 | 62.80 (10) |
Mg1—O2—C3—C2 | −32.68 (9) | O8—C13—C14—F11 | −56.19 (10) |
Mg1—O3—C6—C7 | 50.27 (8) | O8—C13—C14—F12 | −175.09 (8) |
Mg1—O4—C7—C6 | 21.82 (9) | O9—Al2—O6—Al1 | 97.72 (4) |
F1—C9—C10—O7 | −62.37 (9) | O9—Al2—O6—Mg1 | −69.97 (5) |
F1—C9—C10—C11 | 59.47 (10) | O9—Al2—O10—C19 | −154.29 (10) |
F2—C9—C10—O7 | 57.12 (9) | O9—Al2—O11—C22 | −38.33 (7) |
F2—C9—C10—C11 | 178.96 (8) | O9—C16—C17—F16 | 57.58 (9) |
F3—C9—C10—O7 | 176.03 (7) | O9—C16—C17—F17 | −62.31 (9) |
F3—C9—C10—C11 | −62.13 (10) | O9—C16—C17—F18 | 179.17 (7) |
F7—C12—C13—O8 | −53.87 (10) | O10—Al2—O6—Al1 | −18.24 (5) |
F7—C12—C13—C14 | 67.37 (10) | O10—Al2—O6—Mg1 | 174.06 (4) |
F8—C12—C13—O8 | 67.34 (11) | O10—Al2—O9—C16 | 14.74 (7) |
F8—C12—C13—C14 | −171.42 (9) | O10—Al2—O11—C22 | 73.34 (7) |
F9—C12—C13—O8 | −175.20 (8) | O10—C19—C20—F22 | 48.57 (9) |
F9—C12—C13—C14 | −53.97 (11) | O10—C19—C20—F23 | −70.24 (8) |
F13—C15—C16—O9 | −63.10 (9) | O10—C19—C20—F24 | 170.13 (7) |
F13—C15—C16—C17 | 58.14 (9) | O11—Al2—O6—Al1 | −145.85 (4) |
F14—C15—C16—O9 | 56.31 (9) | O11—Al2—O6—Mg1 | 46.46 (5) |
F14—C15—C16—C17 | 177.55 (7) | O11—Al2—O9—C16 | 135.28 (6) |
F15—C15—C16—O9 | 175.29 (7) | O11—Al2—O10—C19 | 92.49 (11) |
F15—C15—C16—C17 | −63.47 (9) | O11—C22—C23—F28 | 55.14 (9) |
F19—C18—C19—O10 | −75.70 (9) | O11—C22—C23—F29 | −64.43 (8) |
F19—C18—C19—C20 | 44.23 (10) | O11—C22—C23—F30 | 177.10 (7) |
F20—C18—C19—O10 | 44.60 (10) | C1—O1—C2—C3 | 163.61 (8) |
F20—C18—C19—C20 | 164.53 (7) | C4—O2—C3—C2 | −175.18 (8) |
F21—C18—C19—O10 | 164.01 (7) | C5—O3—C6—C7 | −166.16 (8) |
F21—C18—C19—C20 | −76.06 (9) | C8—O4—C7—C6 | −173.46 (8) |
F25—C21—C22—O11 | −56.24 (9) | C9—C10—C11—F4 | −59.88 (10) |
F25—C21—C22—C23 | 64.78 (9) | C9—C10—C11—F5 | −178.59 (7) |
F26—C21—C22—O11 | 63.25 (9) | C9—C10—C11—F6 | 62.97 (10) |
F26—C21—C22—C23 | −175.73 (7) | C12—C13—C14—F10 | −59.15 (10) |
F27—C21—C22—O11 | −178.07 (7) | C12—C13—C14—F11 | −178.15 (8) |
F27—C21—C22—C23 | −57.05 (10) | C12—C13—C14—F12 | 62.95 (11) |
O1—C2—C3—O2 | 53.21 (10) | C15—C16—C17—F16 | −64.29 (9) |
O3—C6—C7—O4 | −46.18 (10) | C15—C16—C17—F17 | 175.82 (7) |
O5—Al1—O6—Al2 | −173.95 (4) | C15—C16—C17—F18 | 57.30 (9) |
O5—Al1—O6—Mg1 | −2.65 (3) | C18—C19—C20—F22 | −74.20 (9) |
O5—Al1—O7—C10 | −95.49 (7) | C18—C19—C20—F23 | 166.98 (7) |
O5—Al1—O8—C13 | 12.55 (8) | C18—C19—C20—F24 | 47.35 (9) |
O6—Al1—O5—Mg1 | 2.63 (3) | C21—C22—C23—F28 | −66.31 (9) |
O6—Al1—O7—C10 | 161.70 (7) | C21—C22—C23—F29 | 174.12 (7) |
O6—Al1—O8—C13 | 118.68 (7) | C21—C22—C23—F30 | 55.65 (9) |
O6—Al2—O9—C16 | −106.68 (6) | | |
Hydrogen-bond geometry (Å, º) top
D—H···A | D—H | H···A | D···A | D—H···A |
O5—H5···F18i | 0.750 (18) | 2.315 (18) | 2.9816 (8) | 148.7 (17) |
C2—H2B···F30ii | 0.970 (16) | 2.527 (16) | 3.4204 (11) | 153.1 (12) |
C4—H4A···F6iii | 0.977 (17) | 2.539 (17) | 3.5007 (13) | 168.1 (13) |
C7—H7B···F22iv | 0.997 (14) | 2.500 (14) | 3.0101 (10) | 111.3 (10) |
C8—H8C···O11 | 0.940 (16) | 2.515 (16) | 3.3831 (11) | 153.7 (13) |
C19—H19···O8 | 0.964 (14) | 2.625 (14) | 3.4214 (10) | 140.2 (11) |
Symmetry codes: (i) −x+1/2, y−1/2, −z+1/2; (ii) −x+1, −y+1, −z+1; (iii) x+1/2, −y+1/2, z+1/2; (iv) −x+3/2, y−1/2, −z+1/2. |