The title complex,
trans-[Pt
IICl
2(C
15H
16ClN
5O)
2]·2C
3H
7NO, is centrosymmetric, with square-planar coordination of the Pt atom within a
trans-Cl
2N
2 donor set. The complex is connected through O—H

O hydrogen bonds to two dimethylformamide solvent molecules. The complex is the first structural example of a Pt
II complex involving two coordinated cyclin-dependent kinase inhibitors,
viz. 2-chloro-6-[(3-hydroxybenzyl)amino]-9-isopropylpurine.
Supporting information
CCDC reference: 613833
Key indicators
- Single-crystal X-ray study
- T = 105 K
- Mean
(C-C) = 0.007 Å
- R factor = 0.034
- wR factor = 0.086
- Data-to-parameter ratio = 13.6
checkCIF/PLATON results
No syntax errors found
Alert level C
PLAT042_ALERT_1_C Calc. and Rep. MoietyFormula Strings Differ .... ?
PLAT220_ALERT_2_C Large Non-Solvent C Ueq(max)/Ueq(min) ... 2.73 Ratio
PLAT420_ALERT_2_C D-H Without Acceptor N6 - H6A ... ?
PLAT480_ALERT_4_C Long H...A H-Bond Reported H18A .. CL1 .. 2.90 Ang.
PLAT790_ALERT_4_C Centre of Gravity not Within Unit Cell: Resd. # 2
C3 H7 N O
0 ALERT level A = In general: serious problem
0 ALERT level B = Potentially serious problem
5 ALERT level C = Check and explain
0 ALERT level G = General alerts; check
1 ALERT type 1 CIF construction/syntax error, inconsistent or missing data
2 ALERT type 2 Indicator that the structure model may be wrong or deficient
0 ALERT type 3 Indicator that the structure quality may be low
2 ALERT type 4 Improvement, methodology, query or suggestion
Data collection: CrysAlis CCD (Oxford Diffraction, 2002); cell refinement: CrysAlis RED (Oxford Diffraction, 2002); data reduction: CrysAlis RED; program(s) used to solve structure: SHELXS97 (Sheldrick, 1990); program(s) used to refine structure: SHELXL97 (Sheldrick, 1997); molecular graphics: ORTEPIII (Johnson & Burnett, 1996); software used to prepare material for publication: SHELXL97 and PARST (Nardelli, 1995).
trans-Bis{2-chloro-6-[(3-hydroxybenzyl)amino]-9-isopropylpurine-
κN7}platinum(II) dimethylformamide disolvate
top
Crystal data top
[PtCl2(C15H16ClN5O)2]·2C3H7NO | F(000) = 1048 |
Mr = 1047.74 | Dx = 1.701 Mg m−3 |
Monoclinic, P21/n | Mo Kα radiation, λ = 0.71073 Å |
Hall symbol: -P 2yn | Cell parameters from 9013 reflections |
a = 9.4136 (4) Å | θ = 1.9–29.5° |
b = 20.0628 (10) Å | µ = 3.75 mm−1 |
c = 10.9064 (5) Å | T = 105 K |
β = 96.723 (5)° | Prism, yellow |
V = 2045.65 (16) Å3 | 0.5 × 0.45 × 0.3 mm |
Z = 2 | |
Data collection top
Oxford Xcalibur2 diffractometer | 3588 independent reflections |
Radiation source: fine-focus sealed tube | 3395 reflections with I > 2σ(I) |
Enhance (Oxford Diffraction) monochromator | Rint = 0.028 |
Detector resolution: 16.3 pixels mm-1 | θmax = 25.0°, θmin = 2.7° |
Rotation method, ω scans | h = −11→9 |
Absorption correction: multi-scan (Blessing, 1995) | k = −23→23 |
Tmin = 0.151, Tmax = 0.321 | l = −12→12 |
12305 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)] = 0.034 | Hydrogen site location: inferred from neighbouring sites |
wR(F2) = 0.086 | H-atom parameters constrained |
S = 1.28 | w = 1/[σ2(Fo2) + (0.0275P)2 + P] where P = (Fo2 + 2Fc2)/3 |
3588 reflections | (Δ/σ)max = 0.001 |
264 parameters | Δρmax = 1.00 e Å−3 |
0 restraints | Δρmin = −0.74 e Å−3 |
Special details top
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 F2 against ALL reflections. The weighted R-factor
wR and goodness of fit S are based on F2, conventional
R-factors R are based on F, with F set to zero for
negative F2. The threshold expression of F2 >
σ(F2) is used only for calculating R-factors(gt) etc.
and is not relevant to the choice of reflections for refinement.
R-factors based on F2 are statistically about twice as large
as those based on F, and R- factors based on ALL data will be
even larger. |
Fractional atomic coordinates and isotropic or equivalent isotropic displacement parameters (Å2) top | x | y | z | Uiso*/Ueq | |
Pt1 | 0.5000 | 0.5000 | 0.5000 | 0.01439 (10) | |
Cl1 | 0.40035 (14) | 0.37573 (7) | 1.12244 (11) | 0.0241 (3) | |
N1 | 0.4840 (4) | 0.3793 (2) | 0.9051 (4) | 0.0172 (9) | |
O1 | 1.0556 (5) | 0.1860 (2) | 0.9201 (4) | 0.0353 (10) | |
H1 | 1.1449 | 0.1899 | 0.9342 | 0.042* | |
Cl2 | 0.71343 (13) | 0.51968 (7) | 0.62102 (11) | 0.0232 (3) | |
C2 | 0.4042 (5) | 0.4116 (2) | 0.9770 (4) | 0.0163 (10) | |
N3 | 0.3252 (4) | 0.4656 (2) | 0.9581 (4) | 0.0156 (8) | |
C4 | 0.3376 (5) | 0.4903 (2) | 0.8446 (4) | 0.0156 (10) | |
C5 | 0.4206 (5) | 0.4642 (2) | 0.7588 (4) | 0.0139 (10) | |
N6 | 0.5682 (4) | 0.3703 (2) | 0.7147 (4) | 0.0183 (9) | |
H6A | 0.5775 | 0.3879 | 0.6421 | 0.022* | |
C6 | 0.4942 (5) | 0.4046 (2) | 0.7921 (4) | 0.0141 (10) | |
N7 | 0.3994 (4) | 0.50356 (19) | 0.6533 (4) | 0.0137 (8) | |
C8 | 0.3064 (5) | 0.5499 (2) | 0.6764 (4) | 0.0161 (10) | |
H8A | 0.2722 | 0.5836 | 0.6192 | 0.019* | |
N9 | 0.2655 (4) | 0.54402 (19) | 0.7904 (4) | 0.0136 (8) | |
C9 | 0.6337 (5) | 0.3060 (2) | 0.7447 (5) | 0.0194 (11) | |
H9A | 0.6326 | 0.2799 | 0.6675 | 0.023* | |
H9B | 0.5740 | 0.2818 | 0.7990 | 0.023* | |
C10 | 0.7860 (5) | 0.3082 (3) | 0.8077 (5) | 0.0200 (11) | |
C11 | 0.8548 (6) | 0.2481 (3) | 0.8379 (5) | 0.0228 (11) | |
H11A | 0.8052 | 0.2073 | 0.8206 | 0.027* | |
C12 | 0.9959 (6) | 0.2471 (3) | 0.8932 (5) | 0.0221 (11) | |
C13 | 1.0692 (6) | 0.3060 (3) | 0.9187 (5) | 0.0269 (12) | |
H13A | 1.1656 | 0.3053 | 0.9559 | 0.032* | |
C14 | 1.0012 (6) | 0.3658 (3) | 0.8898 (5) | 0.0271 (12) | |
H14A | 1.0511 | 0.4065 | 0.9076 | 0.033* | |
C15 | 0.8596 (6) | 0.3671 (3) | 0.8345 (5) | 0.0231 (11) | |
H15A | 0.8137 | 0.4086 | 0.8152 | 0.028* | |
C16 | 0.1623 (5) | 0.5865 (2) | 0.8475 (5) | 0.0190 (11) | |
H16A | 0.1669 | 0.5736 | 0.9365 | 0.023* | |
C17 | 0.0135 (6) | 0.5731 (3) | 0.7887 (6) | 0.0375 (15) | |
H17A | −0.0083 | 0.5256 | 0.7962 | 0.056* | |
H17B | 0.0055 | 0.5854 | 0.7012 | 0.056* | |
H17C | −0.0544 | 0.5995 | 0.8302 | 0.056* | |
C18 | 0.2049 (7) | 0.6586 (3) | 0.8426 (6) | 0.0344 (14) | |
H18A | 0.3036 | 0.6639 | 0.8812 | 0.052* | |
H18B | 0.1409 | 0.6856 | 0.8871 | 0.052* | |
H18C | 0.1979 | 0.6731 | 0.7564 | 0.052* | |
O2 | 1.3289 (5) | 0.1716 (2) | 1.0016 (4) | 0.0373 (11) | |
N8 | 1.5606 (5) | 0.1500 (2) | 1.0687 (4) | 0.0237 (10) | |
C19 | 1.4540 (7) | 0.1898 (3) | 1.0282 (5) | 0.0295 (13) | |
H19A | 1.4749 | 0.2357 | 1.0188 | 0.035* | |
C20 | 1.5391 (6) | 0.0796 (3) | 1.0895 (6) | 0.0285 (13) | |
H20A | 1.4363 | 0.0702 | 1.0833 | 0.043* | |
H20B | 1.5843 | 0.0675 | 1.1719 | 0.043* | |
H20C | 1.5820 | 0.0537 | 1.0272 | 0.043* | |
C21 | 1.7070 (6) | 0.1730 (3) | 1.0968 (7) | 0.0379 (15) | |
H21A | 1.7137 | 0.2195 | 1.0706 | 0.057* | |
H21B | 1.7703 | 0.1453 | 1.0530 | 0.057* | |
H21C | 1.7356 | 0.1697 | 1.1860 | 0.057* | |
Atomic displacement parameters (Å2) top | U11 | U22 | U33 | U12 | U13 | U23 |
Pt1 | 0.01460 (15) | 0.01732 (15) | 0.01152 (15) | 0.00196 (10) | 0.00262 (10) | 0.00142 (10) |
Cl1 | 0.0291 (7) | 0.0298 (7) | 0.0142 (6) | 0.0015 (5) | 0.0062 (5) | 0.0069 (5) |
N1 | 0.0127 (19) | 0.026 (2) | 0.013 (2) | −0.0003 (17) | 0.0027 (16) | 0.0033 (17) |
O1 | 0.033 (2) | 0.027 (2) | 0.044 (3) | 0.0138 (18) | −0.002 (2) | −0.0014 (19) |
Cl2 | 0.0144 (6) | 0.0416 (8) | 0.0138 (6) | 0.0020 (5) | 0.0026 (4) | 0.0030 (5) |
C2 | 0.020 (2) | 0.018 (2) | 0.012 (2) | −0.006 (2) | 0.0031 (19) | 0.0030 (19) |
N3 | 0.020 (2) | 0.015 (2) | 0.012 (2) | −0.0025 (16) | 0.0025 (16) | 0.0005 (16) |
C4 | 0.013 (2) | 0.019 (3) | 0.014 (2) | −0.0019 (19) | −0.0015 (19) | −0.0012 (19) |
C5 | 0.014 (2) | 0.015 (2) | 0.013 (2) | −0.0016 (18) | 0.0023 (18) | −0.0018 (18) |
N6 | 0.022 (2) | 0.021 (2) | 0.013 (2) | 0.0065 (18) | 0.0049 (17) | 0.0027 (17) |
C6 | 0.015 (2) | 0.014 (2) | 0.014 (2) | −0.0014 (18) | 0.0017 (18) | −0.0007 (19) |
N7 | 0.015 (2) | 0.017 (2) | 0.0095 (19) | 0.0019 (16) | 0.0043 (16) | 0.0026 (15) |
C8 | 0.017 (2) | 0.016 (2) | 0.016 (2) | 0.003 (2) | 0.0028 (19) | 0.0002 (19) |
N9 | 0.017 (2) | 0.0109 (19) | 0.014 (2) | 0.0026 (16) | 0.0043 (16) | −0.0006 (15) |
C9 | 0.025 (3) | 0.017 (3) | 0.018 (3) | 0.006 (2) | 0.007 (2) | 0.000 (2) |
C10 | 0.024 (3) | 0.024 (3) | 0.013 (2) | 0.009 (2) | 0.007 (2) | 0.003 (2) |
C11 | 0.030 (3) | 0.023 (3) | 0.017 (3) | 0.003 (2) | 0.006 (2) | −0.001 (2) |
C12 | 0.026 (3) | 0.026 (3) | 0.014 (3) | 0.012 (2) | 0.002 (2) | 0.001 (2) |
C13 | 0.021 (3) | 0.040 (3) | 0.020 (3) | 0.002 (2) | 0.002 (2) | 0.002 (2) |
C14 | 0.028 (3) | 0.028 (3) | 0.026 (3) | 0.000 (2) | 0.006 (2) | 0.001 (2) |
C15 | 0.026 (3) | 0.023 (3) | 0.020 (3) | 0.005 (2) | 0.003 (2) | 0.003 (2) |
C16 | 0.021 (3) | 0.018 (3) | 0.019 (3) | 0.005 (2) | 0.006 (2) | −0.003 (2) |
C17 | 0.024 (3) | 0.041 (4) | 0.048 (4) | 0.005 (3) | 0.003 (3) | −0.017 (3) |
C18 | 0.036 (3) | 0.021 (3) | 0.049 (4) | 0.000 (2) | 0.018 (3) | −0.009 (3) |
O2 | 0.034 (2) | 0.035 (2) | 0.039 (3) | 0.0134 (19) | −0.011 (2) | −0.0093 (19) |
N8 | 0.027 (2) | 0.018 (2) | 0.026 (2) | −0.0001 (19) | 0.0044 (19) | 0.0016 (19) |
C19 | 0.038 (3) | 0.026 (3) | 0.023 (3) | 0.004 (3) | 0.001 (2) | −0.001 (2) |
C20 | 0.030 (3) | 0.021 (3) | 0.036 (3) | 0.004 (2) | 0.009 (3) | −0.001 (2) |
C21 | 0.030 (3) | 0.032 (3) | 0.051 (4) | −0.007 (3) | 0.002 (3) | 0.004 (3) |
Geometric parameters (Å, º) top
Pt1—N7 | 2.017 (4) | C11—H11A | 0.9500 |
Pt1—N7i | 2.017 (4) | C12—C13 | 1.379 (8) |
Pt1—Cl2 | 2.3052 (12) | C13—C14 | 1.380 (8) |
Pt1—Cl2i | 2.3052 (12) | C13—H13A | 0.9500 |
Cl1—C2 | 1.746 (5) | C14—C15 | 1.397 (8) |
N1—C2 | 1.319 (7) | C14—H14A | 0.9500 |
N1—C6 | 1.347 (6) | C15—H15A | 0.9500 |
O1—C12 | 1.366 (6) | C16—C17 | 1.495 (8) |
O1—H1 | 0.8400 | C16—C18 | 1.503 (8) |
C2—N3 | 1.315 (6) | C16—H16A | 1.0000 |
N3—C4 | 1.351 (6) | C17—H17A | 0.9800 |
C4—N9 | 1.371 (6) | C17—H17B | 0.9800 |
C4—C5 | 1.389 (7) | C17—H17C | 0.9800 |
C5—N7 | 1.390 (6) | C18—H18A | 0.9800 |
C5—C6 | 1.410 (7) | C18—H18B | 0.9800 |
N6—C6 | 1.344 (6) | C18—H18C | 0.9800 |
N6—C9 | 1.451 (6) | O2—C19 | 1.235 (7) |
N6—H6A | 0.8800 | N8—C19 | 1.317 (7) |
N7—C8 | 1.322 (6) | N8—C20 | 1.447 (7) |
C8—N9 | 1.349 (6) | N8—C21 | 1.451 (7) |
C8—H8A | 0.9500 | C19—H19A | 0.9500 |
N9—C16 | 1.484 (6) | C20—H20A | 0.9800 |
C9—C10 | 1.517 (7) | C20—H20B | 0.9800 |
C9—H9A | 0.9900 | C20—H20C | 0.9800 |
C9—H9B | 0.9900 | C21—H21A | 0.9800 |
C10—C15 | 1.383 (8) | C21—H21B | 0.9800 |
C10—C11 | 1.391 (7) | C21—H21C | 0.9800 |
C11—C12 | 1.393 (8) | | |
| | | |
N7—Pt1—N7i | 180 | C13—C12—C11 | 120.3 (5) |
N7—Pt1—Cl2 | 88.94 (12) | C12—C13—C14 | 119.4 (5) |
N7i—Pt1—Cl2 | 91.06 (12) | C12—C13—H13A | 120.3 |
N7—Pt1—Cl2i | 91.06 (12) | C14—C13—H13A | 120.3 |
N7i—Pt1—Cl2i | 88.94 (12) | C13—C14—C15 | 120.6 (5) |
Cl2—Pt1—Cl2i | 180 | C13—C14—H14A | 119.7 |
C2—N1—C6 | 117.7 (4) | C15—C14—H14A | 119.7 |
C12—O1—H1 | 109.5 | C10—C15—C14 | 120.3 (5) |
N3—C2—N1 | 131.5 (5) | C10—C15—H15A | 119.9 |
N3—C2—Cl1 | 114.3 (4) | C14—C15—H15A | 119.9 |
N1—C2—Cl1 | 114.2 (4) | N9—C16—C17 | 110.1 (4) |
C2—N3—C4 | 109.8 (4) | N9—C16—C18 | 110.3 (4) |
N3—C4—N9 | 126.3 (4) | C17—C16—C18 | 113.5 (5) |
N3—C4—C5 | 126.5 (5) | N9—C16—H16A | 107.6 |
N9—C4—C5 | 107.1 (4) | C17—C16—H16A | 107.6 |
C4—C5—N7 | 107.9 (4) | C18—C16—H16A | 107.6 |
C4—C5—C6 | 116.4 (4) | C16—C17—H17A | 109.5 |
N7—C5—C6 | 135.5 (4) | C16—C17—H17B | 109.5 |
C6—N6—C9 | 123.4 (4) | H17A—C17—H17B | 109.5 |
C6—N6—H6A | 118.3 | C16—C17—H17C | 109.5 |
C9—N6—H6A | 118.3 | H17A—C17—H17C | 109.5 |
N6—C6—N1 | 118.7 (4) | H17B—C17—H17C | 109.5 |
N6—C6—C5 | 123.2 (4) | C16—C18—H18A | 109.5 |
N1—C6—C5 | 118.0 (4) | C16—C18—H18B | 109.5 |
C8—N7—C5 | 106.0 (4) | H18A—C18—H18B | 109.5 |
C8—N7—Pt1 | 124.6 (3) | C16—C18—H18C | 109.5 |
C5—N7—Pt1 | 129.1 (3) | H18A—C18—H18C | 109.5 |
N7—C8—N9 | 112.4 (4) | H18B—C18—H18C | 109.5 |
N7—C8—H8A | 123.8 | C19—N8—C20 | 121.9 (5) |
N9—C8—H8A | 123.8 | C19—N8—C21 | 123.0 (5) |
C8—N9—C4 | 106.6 (4) | C20—N8—C21 | 115.1 (5) |
C8—N9—C16 | 127.4 (4) | O2—C19—N8 | 124.6 (6) |
C4—N9—C16 | 125.9 (4) | O2—C19—H19A | 117.7 |
N6—C9—C10 | 115.4 (4) | N8—C19—H19A | 117.7 |
N6—C9—H9A | 108.4 | N8—C20—H20A | 109.5 |
C10—C9—H9A | 108.4 | N8—C20—H20B | 109.5 |
N6—C9—H9B | 108.4 | H20A—C20—H20B | 109.5 |
C10—C9—H9B | 108.4 | N8—C20—H20C | 109.5 |
H9A—C9—H9B | 107.5 | H20A—C20—H20C | 109.5 |
C15—C10—C11 | 118.9 (5) | H20B—C20—H20C | 109.5 |
C15—C10—C9 | 123.0 (5) | N8—C21—H21A | 109.5 |
C11—C10—C9 | 118.1 (5) | N8—C21—H21B | 109.5 |
C10—C11—C12 | 120.6 (5) | H21A—C21—H21B | 109.5 |
C10—C11—H11A | 119.7 | N8—C21—H21C | 109.5 |
C12—C11—H11A | 119.7 | H21A—C21—H21C | 109.5 |
O1—C12—C13 | 122.8 (5) | H21B—C21—H21C | 109.5 |
O1—C12—C11 | 116.9 (5) | | |
| | | |
C6—N1—C2—N3 | 2.3 (8) | Pt1—N7—C8—N9 | −174.2 (3) |
C6—N1—C2—Cl1 | −178.9 (3) | N7—C8—N9—C4 | 0.2 (6) |
N1—C2—N3—C4 | −2.5 (7) | N7—C8—N9—C16 | −179.4 (4) |
Cl1—C2—N3—C4 | 178.8 (3) | N3—C4—N9—C8 | −178.1 (5) |
C2—N3—C4—N9 | 176.5 (5) | C5—C4—N9—C8 | −0.7 (5) |
C2—N3—C4—C5 | −0.4 (7) | N3—C4—N9—C16 | 1.5 (8) |
N3—C4—C5—N7 | 178.3 (4) | C5—C4—N9—C16 | 178.9 (4) |
N9—C4—C5—N7 | 0.9 (5) | C6—N6—C9—C10 | −89.7 (6) |
N3—C4—C5—C6 | 2.9 (7) | N6—C9—C10—C15 | −0.5 (7) |
N9—C4—C5—C6 | −174.5 (4) | N6—C9—C10—C11 | −179.5 (4) |
C9—N6—C6—N1 | 2.4 (7) | C15—C10—C11—C12 | −0.6 (8) |
C9—N6—C6—C5 | −174.4 (4) | C9—C10—C11—C12 | 178.5 (5) |
C2—N1—C6—N6 | −176.2 (4) | C10—C11—C12—O1 | 179.9 (5) |
C2—N1—C6—C5 | 0.7 (7) | C10—C11—C12—C13 | 0.0 (8) |
C4—C5—C6—N6 | 173.9 (4) | O1—C12—C13—C14 | −179.4 (5) |
N7—C5—C6—N6 | 0.1 (9) | C11—C12—C13—C14 | 0.4 (8) |
C4—C5—C6—N1 | −3.0 (6) | C12—C13—C14—C15 | −0.3 (8) |
N7—C5—C6—N1 | −176.7 (5) | C11—C10—C15—C14 | 0.7 (8) |
C4—C5—N7—C8 | −0.8 (5) | C9—C10—C15—C14 | −178.3 (5) |
C6—C5—N7—C8 | 173.3 (5) | C13—C14—C15—C10 | −0.2 (8) |
C4—C5—N7—Pt1 | 173.4 (3) | C8—N9—C16—C17 | 71.7 (6) |
C6—C5—N7—Pt1 | −12.4 (8) | C4—N9—C16—C17 | −107.9 (6) |
Cl2—Pt1—N7—C8 | 113.9 (4) | C8—N9—C16—C18 | −54.3 (7) |
Cl2i—Pt1—N7—C8 | −66.1 (4) | C4—N9—C16—C18 | 126.2 (5) |
Cl2—Pt1—N7—C5 | −59.3 (4) | C20—N8—C19—O2 | −1.8 (9) |
Cl2i—Pt1—N7—C5 | 120.7 (4) | C21—N8—C19—O2 | 178.8 (6) |
C5—N7—C8—N9 | 0.4 (5) | | |
Symmetry code: (i) −x+1, −y+1, −z+1. |
Hydrogen-bond geometry (Å, º) top
D—H···A | D—H | H···A | D···A | D—H···A |
O1—H1···O2 | 0.84 | 1.84 | 2.637 (6) | 159 |
C20—H20C···Cl2ii | 0.98 | 2.74 | 3.660 (6) | 156 |
C20—H20A···Cl2iii | 0.98 | 2.83 | 3.706 (6) | 149 |
C18—H18A···Cl1iv | 0.98 | 2.90 | 3.755 (6) | 146 |
Symmetry codes: (ii) −x+5/2, y−1/2, −z+3/2; (iii) x+1/2, −y+1/2, z+1/2; (iv) −x+1, −y+1, −z+2. |