The title complex is coordinated by two acetylacetonate, one 1H-imidazole, one nitrate and one water ligand. The molecular plane of the imidazole ligand is almost parallel to that of the nitrate anion.
Supporting information
CCDC reference: 1579078
Key indicators
- Single-crystal X-ray study
- T = 293 K
- Mean (C-C) = 0.003 Å
- R factor = 0.016
- wR factor = 0.040
- Data-to-parameter ratio = 18.1
checkCIF/PLATON results
No syntax errors found
Datablock: I
Alert level C
PLAT241_ALERT_2_C High 'MainMol' Ueq as Compared to Neighbors of O43 Check
PLAT242_ALERT_2_C Low 'MainMol' Ueq as Compared to Neighbors of La1 Check
PLAT242_ALERT_2_C Low 'MainMol' Ueq as Compared to Neighbors of C22 Check
PLAT242_ALERT_2_C Low 'MainMol' Ueq as Compared to Neighbors of C24 Check
PLAT910_ALERT_3_C Missing # of FCF Reflection(s) Below Theta(Min). 6 Note
PLAT911_ALERT_3_C Missing # FCF Refl Between THmin & STh/L= 0.600 4 Report
PLAT923_ALERT_1_C S values in the CIF and FCF Differ by ....... -0.011 Check
Alert level G
PLAT005_ALERT_5_G No Embedded Refinement Details found in the CIF Please Do !
PLAT007_ALERT_5_G Number of Unrefined Donor-H Atoms .............. 1 Report
PLAT199_ALERT_1_G Reported _cell_measurement_temperature ..... (K) 293 Check
PLAT200_ALERT_1_G Reported _diffrn_ambient_temperature ..... (K) 293 Check
PLAT232_ALERT_2_G Hirshfeld Test Diff (M-X) La1 -- O11W .. 5.0 s.u.
PLAT232_ALERT_2_G Hirshfeld Test Diff (M-X) La1 -- O12 .. 6.0 s.u.
PLAT232_ALERT_2_G Hirshfeld Test Diff (M-X) La1 -- O12W .. 5.1 s.u.
PLAT232_ALERT_2_G Hirshfeld Test Diff (M-X) La1 -- O22 .. 5.0 s.u.
PLAT232_ALERT_2_G Hirshfeld Test Diff (M-X) La1 -- O24 .. 7.1 s.u.
PLAT232_ALERT_2_G Hirshfeld Test Diff (M-X) La1 -- O42 .. 17.3 s.u.
PLAT232_ALERT_2_G Hirshfeld Test Diff (M-X) La1 -- O43 .. 7.0 s.u.
PLAT913_ALERT_3_G Missing # of Very Strong Reflections in FCF .... 3 Note
PLAT978_ALERT_2_G Number C-C Bonds with Positive Residual Density. 5 Info
0 ALERT level A = Most likely a serious problem - resolve or explain
0 ALERT level B = A potentially serious problem, consider carefully
7 ALERT level C = Check. Ensure it is not caused by an omission or oversight
13 ALERT level G = General information/check it is not something unexpected
3 ALERT type 1 CIF construction/syntax error, inconsistent or missing data
12 ALERT type 2 Indicator that the structure model may be wrong or deficient
3 ALERT type 3 Indicator that the structure quality may be low
0 ALERT type 4 Improvement, methodology, query or suggestion
2 ALERT type 5 Informative message, check
checkCIF publication errors
Alert level A
PUBL024_ALERT_1_A The number of authors is greater than 5.
Please specify the role of each of the co-authors
for your paper.
1 ALERT level A = Data missing that is essential or data in wrong format
0 ALERT level G = General alerts. Data that may be required is missing
Data collection: CrystalClear (Rigaku/MSC, 2006); cell refinement: CrystalClear (Rigaku/MSC, 2006); data reduction: CrystalClear (Rigaku/MSC, 2006) and SORTAV (Blessing, 1995); program(s) used to solve structure: SHELXS2013 (Sheldrick, 2008); program(s) used to refine structure: SHELXL2014 (Sheldrick, 2015); molecular graphics: ORTEP-3 for Windows (Farrugia, 2012); software used to prepare material for publication: WinGX (Farrugia, 2012).
Diaqua(1
H-imidazole-
κN3)(nitrato-
κ2O,
O')bis(4-oxopent-2-en-2-olato-
κ2O,
O')lanthanum(III)
top
Crystal data top
[La(C5H7O2)2(NO3)(C3H4N2)(H2O)2] | F(000) = 1000 |
Mr = 503.24 | Dx = 1.686 Mg m−3 |
Monoclinic, P21/c | Mo Kα radiation, λ = 0.71073 Å |
Hall symbol: -P 2ybc | Cell parameters from 19036 reflections |
a = 9.8233 (9) Å | θ = 3–27.5° |
b = 12.4719 (12) Å | µ = 2.20 mm−1 |
c = 16.4432 (16) Å | T = 293 K |
β = 100.184 (7)° | Prism, colorless |
V = 1982.8 (3) Å3 | 0.42 × 0.39 × 0.12 mm |
Z = 4 | |
Data collection top
XTALAB-MINI diffractometer | 4543 independent reflections |
Radiation source: sealed x-ray tube | 4317 reflections with I > 2σ(I) |
Graphite monochromator | Rint = 0.019 |
Detector resolution: 10 pixels mm-1 | θmax = 27.5°, θmin = 3.0° |
phi or ω oscillation scans | h = −12→12 |
Absorption correction: multi-scan (REQAB; Rigaku, 1998) | k = −16→16 |
Tmin = 0.456, Tmax = 0.772 | l = −21→21 |
19723 measured reflections | |
Refinement top
Refinement on F2 | Primary atom site location: structure-invariant direct methods |
Least-squares matrix: full | Secondary atom site location: difference Fourier map |
R[F2 > 2σ(F2)] = 0.016 | Hydrogen site location: mixed |
wR(F2) = 0.040 | H atoms treated by a mixture of independent and constrained refinement |
S = 1.07 | w = 1/[σ2(Fo2) + (0.0179P)2 + 0.8453P] where P = (Fo2 + 2Fc2)/3 |
4543 reflections | (Δ/σ)max < 0.001 |
251 parameters | Δρmax = 0.51 e Å−3 |
0 restraints | Δρmin = −0.54 e Å−3 |
0 constraints | |
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 | |
La1 | 0.49302 (2) | 0.06987 (2) | 0.73872 (2) | 0.02341 (4) | |
C11 | 0.3206 (3) | −0.1406 (2) | 0.94575 (16) | 0.0675 (7) | |
H11A | 0.2657 | −0.1885 | 0.9076 | 0.101* | |
H11B | 0.272 | −0.1238 | 0.9899 | 0.101* | |
H11C | 0.4071 | −0.1742 | 0.9679 | 0.101* | |
C12 | 0.3473 (2) | −0.03887 (17) | 0.90146 (12) | 0.0416 (4) | |
O12 | 0.40186 (14) | −0.05003 (10) | 0.83749 (8) | 0.0404 (3) | |
C13 | 0.3101 (2) | 0.05849 (17) | 0.93181 (13) | 0.0489 (5) | |
H13 | 0.2668 | 0.0566 | 0.9777 | 0.059* | |
C14 | 0.33217 (18) | 0.15900 (16) | 0.89926 (11) | 0.0395 (4) | |
O14 | 0.38770 (15) | 0.17374 (10) | 0.83705 (8) | 0.0454 (3) | |
C15 | 0.2866 (2) | 0.2580 (2) | 0.93995 (16) | 0.0622 (6) | |
H15A | 0.2468 | 0.3083 | 0.8983 | 0.093* | |
H15B | 0.3651 | 0.29 | 0.9745 | 0.093* | |
H15C | 0.2191 | 0.2386 | 0.973 | 0.093* | |
C21 | 0.8806 (3) | 0.2748 (2) | 0.8716 (2) | 0.0910 (11) | |
H21A | 0.8263 | 0.3193 | 0.9011 | 0.136* | |
H21B | 0.8983 | 0.3122 | 0.8235 | 0.136* | |
H21C | 0.9668 | 0.2578 | 0.9067 | 0.136* | |
C22 | 0.80297 (19) | 0.17260 (16) | 0.84555 (12) | 0.0424 (4) | |
O22 | 0.67656 (13) | 0.18282 (10) | 0.81634 (9) | 0.0448 (3) | |
C23 | 0.8740 (2) | 0.07563 (17) | 0.85616 (14) | 0.0456 (5) | |
H23 | 0.9679 | 0.0784 | 0.878 | 0.055* | |
C24 | 0.81648 (19) | −0.02525 (16) | 0.83686 (12) | 0.0425 (4) | |
O24 | 0.69227 (13) | −0.04257 (11) | 0.80450 (9) | 0.0446 (3) | |
C25 | 0.9079 (3) | −0.1227 (2) | 0.8548 (2) | 0.0856 (10) | |
H25A | 0.8662 | −0.1726 | 0.8875 | 0.128* | |
H25B | 0.9968 | −0.1014 | 0.8847 | 0.128* | |
H25C | 0.919 | −0.1561 | 0.8038 | 0.128* | |
N31 | 0.22279 (15) | 0.07647 (12) | 0.67424 (10) | 0.0367 (3) | |
C32 | 0.1625 (2) | 0.07834 (15) | 0.59247 (12) | 0.0411 (4) | |
H32 | 0.2101 | 0.0768 | 0.5484 | 0.049* | |
C33 | 0.0238 (2) | 0.08279 (17) | 0.58553 (14) | 0.0481 (5) | |
H33 | −0.0409 | 0.0853 | 0.5369 | 0.058* | |
N34 | −0.00239 (16) | 0.08292 (14) | 0.66351 (12) | 0.0496 (4) | |
H34 | −0.0826 | 0.0852 | 0.6776 | 0.06* | |
C35 | 0.1190 (2) | 0.07876 (18) | 0.71465 (13) | 0.0483 (5) | |
H35 | 0.1289 | 0.0776 | 0.7719 | 0.058* | |
N41 | 0.62511 (15) | 0.09036 (12) | 0.57886 (9) | 0.0329 (3) | |
O42 | 0.49735 (12) | 0.08624 (10) | 0.57207 (8) | 0.0374 (3) | |
O43 | 0.69523 (14) | 0.08635 (14) | 0.65120 (8) | 0.0545 (4) | |
O44 | 0.68294 (15) | 0.09930 (13) | 0.51860 (8) | 0.0491 (3) | |
O11W | 0.45059 (16) | 0.26240 (10) | 0.68241 (9) | 0.0411 (3) | |
H11X | 0.389 (3) | 0.303 (2) | 0.6897 (16) | 0.062* | |
H11Y | 0.499 (3) | 0.311 (2) | 0.6723 (16) | 0.062* | |
O12W | 0.45109 (17) | −0.10477 (11) | 0.65529 (9) | 0.0453 (3) | |
H12Y | 0.425 (3) | −0.100 (2) | 0.6035 (17) | 0.068* | |
H12X | 0.438 (3) | −0.160 (2) | 0.6658 (17) | 0.068* | |
Atomic displacement parameters (Å2) top | U11 | U22 | U33 | U12 | U13 | U23 |
La1 | 0.02352 (5) | 0.02229 (5) | 0.02468 (6) | −0.00018 (3) | 0.00500 (3) | −0.00149 (3) |
C11 | 0.0832 (18) | 0.0650 (15) | 0.0637 (15) | 0.0058 (13) | 0.0387 (14) | 0.0254 (12) |
C12 | 0.0416 (10) | 0.0513 (11) | 0.0344 (9) | 0.0007 (8) | 0.0134 (8) | 0.0079 (8) |
O12 | 0.0528 (8) | 0.0354 (7) | 0.0377 (7) | 0.0031 (6) | 0.0208 (6) | 0.0043 (5) |
C13 | 0.0549 (12) | 0.0635 (14) | 0.0332 (10) | 0.0012 (10) | 0.0214 (9) | −0.0042 (9) |
C14 | 0.0319 (9) | 0.0516 (11) | 0.0362 (9) | −0.0029 (8) | 0.0087 (7) | −0.0183 (8) |
O14 | 0.0577 (9) | 0.0372 (7) | 0.0476 (7) | −0.0012 (6) | 0.0263 (7) | −0.0107 (6) |
C15 | 0.0545 (13) | 0.0666 (15) | 0.0713 (15) | −0.0042 (11) | 0.0267 (12) | −0.0364 (12) |
C21 | 0.0437 (13) | 0.0679 (18) | 0.153 (3) | −0.0129 (12) | −0.0071 (16) | −0.0437 (19) |
C22 | 0.0306 (9) | 0.0505 (11) | 0.0451 (10) | −0.0057 (8) | 0.0042 (8) | −0.0153 (8) |
O22 | 0.0336 (7) | 0.0409 (7) | 0.0553 (8) | −0.0023 (5) | −0.0043 (6) | −0.0132 (6) |
C23 | 0.0250 (8) | 0.0615 (13) | 0.0485 (12) | −0.0006 (8) | 0.0016 (8) | −0.0030 (9) |
C24 | 0.0326 (9) | 0.0486 (11) | 0.0463 (11) | 0.0071 (8) | 0.0069 (8) | 0.0125 (9) |
O24 | 0.0350 (7) | 0.0363 (7) | 0.0592 (9) | 0.0022 (5) | −0.0008 (6) | 0.0087 (6) |
C25 | 0.0454 (13) | 0.0614 (16) | 0.143 (3) | 0.0176 (12) | −0.0008 (16) | 0.0247 (17) |
N31 | 0.0256 (7) | 0.0463 (9) | 0.0378 (8) | −0.0009 (6) | 0.0046 (6) | 0.0008 (6) |
C32 | 0.0393 (10) | 0.0477 (11) | 0.0365 (10) | −0.0002 (8) | 0.0074 (8) | 0.0017 (8) |
C33 | 0.0360 (10) | 0.0576 (13) | 0.0457 (12) | 0.0011 (9) | −0.0067 (9) | −0.0005 (9) |
N34 | 0.0239 (7) | 0.0671 (12) | 0.0586 (11) | −0.0023 (7) | 0.0093 (7) | −0.0053 (8) |
C35 | 0.0340 (10) | 0.0740 (15) | 0.0381 (10) | −0.0028 (9) | 0.0096 (8) | −0.0022 (9) |
N41 | 0.0332 (7) | 0.0373 (8) | 0.0294 (7) | −0.0018 (6) | 0.0085 (6) | −0.0029 (6) |
O42 | 0.0294 (6) | 0.0460 (7) | 0.0364 (7) | 0.0021 (5) | 0.0048 (5) | 0.0011 (5) |
O43 | 0.0291 (7) | 0.1049 (13) | 0.0294 (7) | −0.0024 (7) | 0.0049 (5) | 0.0017 (7) |
O44 | 0.0501 (8) | 0.0691 (9) | 0.0326 (7) | −0.0106 (7) | 0.0198 (6) | −0.0067 (6) |
O11W | 0.0485 (8) | 0.0256 (6) | 0.0502 (8) | 0.0026 (5) | 0.0113 (6) | 0.0023 (5) |
O12W | 0.0726 (10) | 0.0261 (6) | 0.0336 (7) | −0.0018 (6) | −0.0002 (7) | −0.0023 (5) |
Geometric parameters (Å, º) top
La1—O14 | 2.4402 (12) | C22—O22 | 1.256 (2) |
La1—O22 | 2.4597 (12) | C22—C23 | 1.392 (3) |
La1—O12 | 2.4880 (12) | C23—C24 | 1.393 (3) |
La1—O24 | 2.4939 (13) | C23—H23 | 0.93 |
La1—O12W | 2.5682 (13) | C24—O24 | 1.261 (2) |
La1—O11W | 2.5808 (13) | C24—C25 | 1.510 (3) |
La1—O43 | 2.6589 (14) | C25—H25A | 0.96 |
La1—N31 | 2.6800 (15) | C25—H25B | 0.96 |
La1—O42 | 2.7556 (13) | C25—H25C | 0.96 |
C11—C12 | 1.509 (3) | N31—C35 | 1.312 (2) |
C11—H11A | 0.96 | N31—C32 | 1.370 (3) |
C11—H11B | 0.96 | C32—C33 | 1.348 (3) |
C11—H11C | 0.96 | C32—H32 | 0.93 |
C12—O12 | 1.270 (2) | C33—N34 | 1.352 (3) |
C12—C13 | 1.386 (3) | C33—H33 | 0.93 |
C13—C14 | 1.395 (3) | N34—C35 | 1.333 (3) |
C13—H13 | 0.93 | N34—H34 | 0.86 |
C14—O14 | 1.255 (2) | C35—H35 | 0.93 |
C14—C15 | 1.509 (3) | N41—O44 | 1.2311 (19) |
C15—H15A | 0.96 | N41—O42 | 1.2413 (18) |
C15—H15B | 0.96 | N41—O43 | 1.266 (2) |
C15—H15C | 0.96 | O11W—H11X | 0.81 (3) |
C21—C22 | 1.508 (3) | O11W—H11Y | 0.81 (3) |
C21—H21A | 0.96 | O12W—H12Y | 0.85 (3) |
C21—H21B | 0.96 | O12W—H12X | 0.73 (3) |
C21—H21C | 0.96 | | |
| | | |
O14—La1—O22 | 73.14 (5) | C14—C15—H15B | 109.5 |
O14—La1—O12 | 69.07 (4) | H15A—C15—H15B | 109.5 |
O22—La1—O12 | 108.72 (5) | C14—C15—H15C | 109.5 |
O14—La1—O24 | 113.79 (5) | H15A—C15—H15C | 109.5 |
O22—La1—O24 | 69.51 (5) | H15B—C15—H15C | 109.5 |
O12—La1—O24 | 74.00 (5) | C22—C21—H21A | 109.5 |
O14—La1—O12W | 139.24 (5) | C22—C21—H21B | 109.5 |
O22—La1—O12W | 142.79 (5) | H21A—C21—H21B | 109.5 |
O12—La1—O12W | 78.27 (5) | C22—C21—H21C | 109.5 |
O24—La1—O12W | 78.12 (5) | H21A—C21—H21C | 109.5 |
O14—La1—O11W | 71.54 (5) | H21B—C21—H21C | 109.5 |
O22—La1—O11W | 73.17 (5) | O22—C22—C23 | 125.16 (17) |
O12—La1—O11W | 137.69 (5) | O22—C22—C21 | 116.06 (19) |
O24—La1—O11W | 138.02 (5) | C23—C22—C21 | 118.78 (19) |
O12W—La1—O11W | 126.65 (5) | C22—O22—La1 | 136.44 (12) |
O14—La1—O43 | 139.68 (5) | C22—C23—C24 | 125.62 (18) |
O22—La1—O43 | 71.78 (5) | C22—C23—H23 | 117.2 |
O12—La1—O43 | 142.12 (5) | C24—C23—H23 | 117.2 |
O24—La1—O43 | 70.97 (5) | O24—C24—C23 | 125.06 (18) |
O12W—La1—O43 | 80.85 (5) | O24—C24—C25 | 116.3 (2) |
O11W—La1—O43 | 79.79 (5) | C23—C24—C25 | 118.66 (19) |
O14—La1—N31 | 74.90 (5) | C24—O24—La1 | 135.53 (12) |
O22—La1—N31 | 140.50 (4) | C24—C25—H25A | 109.5 |
O12—La1—N31 | 80.27 (5) | C24—C25—H25B | 109.5 |
O24—La1—N31 | 146.66 (4) | H25A—C25—H25B | 109.5 |
O12W—La1—N31 | 76.15 (5) | C24—C25—H25C | 109.5 |
O11W—La1—N31 | 75.15 (5) | H25A—C25—H25C | 109.5 |
O43—La1—N31 | 124.47 (5) | H25B—C25—H25C | 109.5 |
O14—La1—O42 | 134.63 (4) | C35—N31—C32 | 104.87 (16) |
O22—La1—O42 | 109.56 (4) | C35—N31—La1 | 127.18 (13) |
O12—La1—O42 | 139.84 (4) | C32—N31—La1 | 127.95 (12) |
O24—La1—O42 | 108.91 (4) | C33—C32—N31 | 109.82 (18) |
O12W—La1—O42 | 63.95 (4) | C33—C32—H32 | 125.1 |
O11W—La1—O42 | 66.69 (4) | N31—C32—H32 | 125.1 |
O43—La1—O42 | 46.51 (4) | C32—C33—N34 | 106.18 (18) |
N31—La1—O42 | 78.03 (4) | C32—C33—H33 | 126.9 |
C12—C11—H11A | 109.5 | N34—C33—H33 | 126.9 |
C12—C11—H11B | 109.5 | C35—N34—C33 | 107.42 (17) |
H11A—C11—H11B | 109.5 | C35—N34—H34 | 126.3 |
C12—C11—H11C | 109.5 | C33—N34—H34 | 126.3 |
H11A—C11—H11C | 109.5 | N31—C35—N34 | 111.71 (19) |
H11B—C11—H11C | 109.5 | N31—C35—H35 | 124.1 |
O12—C12—C13 | 124.82 (18) | N34—C35—H35 | 124.1 |
O12—C12—C11 | 116.26 (19) | O44—N41—O42 | 122.31 (15) |
C13—C12—C11 | 118.91 (18) | O44—N41—O43 | 120.53 (15) |
C12—O12—La1 | 136.74 (12) | O42—N41—O43 | 117.15 (14) |
C12—C13—C14 | 125.47 (18) | N41—O42—La1 | 96.13 (10) |
C12—C13—H13 | 117.3 | N41—O43—La1 | 100.21 (10) |
C14—C13—H13 | 117.3 | La1—O11W—H11X | 127.1 (18) |
O14—C14—C13 | 124.32 (17) | La1—O11W—H11Y | 135.3 (18) |
O14—C14—C15 | 116.57 (19) | H11X—O11W—H11Y | 92 (2) |
C13—C14—C15 | 119.11 (18) | La1—O12W—H12Y | 117.7 (18) |
C14—O14—La1 | 139.35 (12) | La1—O12W—H12X | 134 (2) |
C14—C15—H15A | 109.5 | H12Y—O12W—H12X | 106 (3) |
| | | |
C13—C12—O12—La1 | 6.4 (3) | C23—C24—O24—La1 | 10.7 (3) |
C11—C12—O12—La1 | −174.35 (15) | C25—C24—O24—La1 | −168.80 (18) |
O12—C12—C13—C14 | −3.0 (4) | C35—N31—C32—C33 | 0.6 (2) |
C11—C12—C13—C14 | 177.8 (2) | La1—N31—C32—C33 | −179.32 (13) |
C12—C13—C14—O14 | 0.9 (4) | N31—C32—C33—N34 | −0.4 (2) |
C12—C13—C14—C15 | −179.5 (2) | C32—C33—N34—C35 | 0.1 (2) |
C13—C14—O14—La1 | −2.3 (3) | C32—N31—C35—N34 | −0.6 (2) |
C15—C14—O14—La1 | 178.08 (15) | La1—N31—C35—N34 | 179.36 (12) |
C23—C22—O22—La1 | −14.8 (3) | C33—N34—C35—N31 | 0.3 (3) |
C21—C22—O22—La1 | 166.00 (19) | O44—N41—O42—La1 | −179.37 (15) |
O22—C22—C23—C24 | −0.6 (4) | O43—N41—O42—La1 | −0.25 (16) |
C21—C22—C23—C24 | 178.6 (2) | O44—N41—O43—La1 | 179.40 (14) |
C22—C23—C24—O24 | 2.3 (4) | O42—N41—O43—La1 | 0.26 (17) |
C22—C23—C24—C25 | −178.2 (2) | | |
Hydrogen-bond geometry (Å, º) top
D—H···A | D—H | H···A | D···A | D—H···A |
N34—H34···O43i | 0.86 | 2.15 | 2.942 (2) | 153 |
O11W—H11X···O24ii | 0.81 (3) | 2.10 (3) | 2.8353 (19) | 152 (2) |
O11W—H11Y···O12ii | 0.81 (3) | 2.00 (3) | 2.8014 (19) | 168 (3) |
O12W—H12Y···O44iii | 0.85 (3) | 2.10 (3) | 2.930 (2) | 167 (3) |
O12W—H12X···O22iv | 0.73 (3) | 2.30 (3) | 3.0025 (19) | 161 (3) |
Symmetry codes: (i) x−1, y, z; (ii) −x+1, y+1/2, −z+3/2; (iii) −x+1, −y, −z+1; (iv) −x+1, y−1/2, −z+3/2. |