The title compound, [Ni(C
17H
14N
3O
2)
2]·2C
3H
7NO·2H
2O, contains Ni
II cations (site symmetry
) chelated by two deprotonated Schiff bases in a
trans-NiN
2O
2 square-planar geometry. The complex molecule and the dimethylformamide (DMF) and water molecules interact by way of O—H
O and N—H
O hydrogen bonds, resulting in a layered structure.
Supporting information
CCDC reference: 624617
Key indicators
- Single-crystal X-ray study
- T = 295 K
- Mean (C-C) = 0.003 Å
- R factor = 0.038
- wR factor = 0.107
- Data-to-parameter ratio = 16.2
checkCIF/PLATON results
No syntax errors found
Alert level C
PLAT042_ALERT_1_C Calc. and Rep. MoietyFormula Strings Differ .... ?
PLAT066_ALERT_1_C Predicted and Reported Transmissions Identical . ?
PLAT152_ALERT_1_C Supplied and Calc Volume s.u. Inconsistent ..... ?
PLAT232_ALERT_2_C Hirshfeld Test Diff (M-X) Ni1 - N2 .. 5.72 su
PLAT244_ALERT_4_C Low 'Solvent' Ueq as Compared to Neighbors for N4
PLAT710_ALERT_4_C Delete 1-2-3 or 2-3-4 Linear Torsion Angle ... # 9
N2 -NI1 -N2 -N1 6.00 0.00 2.666 1.555 1.555 1.555
PLAT720_ALERT_4_C Number of Unusual/Non-Standard Label(s) ........ 2
PLAT731_ALERT_1_C Bond Calc 0.85(3), Rep 0.850(10) ...... 3.00 su-Ra
O2 -H2O 1.555 1.555
PLAT735_ALERT_1_C D-H Calc 0.85(3), Rep 0.850(10) ...... 3.00 su-Ra
O2 -H2O 1.555 1.555
PLAT736_ALERT_1_C H...A Calc 1.85(3), Rep 1.850(10) ...... 3.00 su-Ra
H2O -O1W 1.555 2.765
0 ALERT level A = In general: serious problem
0 ALERT level B = Potentially serious problem
10 ALERT level C = Check and explain
0 ALERT level G = General alerts; check
6 ALERT type 1 CIF construction/syntax error, inconsistent or missing data
1 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
3 ALERT type 4 Improvement, methodology, query or suggestion
0 ALERT type 5 Informative message, check
Data collection: APEXII (Bruker, 2004); cell refinement: SAINT (Bruker, 2004); data reduction: SAINT; program(s) used to solve structure: SHELXS97 (Sheldrick, 1997); program(s) used to refine structure: SHELXL97 (Sheldrick, 1997); molecular graphics: X-SEED (Barbour, 2001); software used to prepare material for publication: SHELXL97.
Bis(2-methyl-1
H-indole-3-carbaldehyde
4-hydroxybenzoylhydrazonato-
κ2N,
O)nickel(II)
N,
N-dimethylformamide disolvate dihydrate
top
Crystal data top
[Ni(C17H14N3O2)2]·2C3H7NO·2H2O | Z = 1 |
Mr = 825.56 | F(000) = 434 |
Triclinic, P1 | Dx = 1.325 Mg m−3 |
Hall symbol: -P 1 | Mo Kα radiation, λ = 0.71073 Å |
a = 7.2441 (6) Å | Cell parameters from 3608 reflections |
b = 12.326 (1) Å | θ = 2.7–27.1° |
c = 12.395 (1) Å | µ = 0.53 mm−1 |
α = 76.336 (1)° | T = 295 K |
β = 74.120 (1)° | Irregular block, red |
γ = 86.253 (1)° | 0.45 × 0.35 × 0.15 mm |
V = 1034.5 (2) Å3 | |
Data collection top
Bruker APEX-II CCD diffractometer | 4495 independent reflections |
Radiation source: fine-focus sealed tube | 3822 reflections with I > 2σ(I) |
Graphite monochromator | Rint = 0.017 |
ω scans | θmax = 27.1°, θmin = 1.7° |
Absorption correction: multi-scan (SADABS; Sheldrick, 1996) | h = −9→9 |
Tmin = 0.801, Tmax = 0.925 | k = −15→15 |
9651 measured reflections | l = −15→15 |
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)] = 0.038 | Hydrogen site location: difmap and geom |
wR(F2) = 0.107 | H atoms treated by a mixture of independent and constrained refinement |
S = 1.02 | w = 1/[σ2(Fo2) + (0.0595P)2 + 0.185P] where P = (Fo2 + 2Fc2)/3 |
4495 reflections | (Δ/σ)max = 0.001 |
278 parameters | Δρmax = 0.29 e Å−3 |
4 restraints | Δρmin = −0.20 e Å−3 |
Fractional atomic coordinates and isotropic or equivalent isotropic displacement parameters (Å2) top | x | y | z | Uiso*/Ueq | |
Ni1 | 0.5000 | 0.5000 | 0.5000 | 0.0349 (1) | |
O1 | 0.5708 (2) | 0.4751 (1) | 0.3541 (1) | 0.0402 (3) | |
O2 | 0.8370 (3) | 0.5232 (2) | −0.1833 (1) | 0.0681 (5) | |
O3 | 0.8506 (2) | 0.1739 (1) | 0.5398 (1) | 0.0536 (4) | |
O1W | 0.9006 (3) | 0.3339 (2) | 0.3372 (1) | 0.0652 (5) | |
N1 | 0.6373 (2) | 0.6633 (1) | 0.3030 (1) | 0.0399 (4) | |
N2 | 0.5809 (2) | 0.6450 (1) | 0.4241 (1) | 0.0370 (3) | |
N3 | 0.7667 (3) | 1.0003 (1) | 0.4428 (2) | 0.0481 (4) | |
N4 | 0.8494 (3) | 0.2488 (2) | 0.6909 (2) | 0.0590 (5) | |
C1 | 0.6833 (3) | 0.5601 (2) | 0.1543 (2) | 0.0386 (4) | |
C2 | 0.6589 (3) | 0.4595 (2) | 0.1271 (2) | 0.0463 (5) | |
C3 | 0.7124 (3) | 0.4491 (2) | 0.0142 (2) | 0.0541 (5) | |
C4 | 0.7904 (3) | 0.5381 (2) | −0.0739 (2) | 0.0485 (5) | |
C5 | 0.8148 (3) | 0.6392 (2) | −0.0486 (2) | 0.0526 (5) | |
C6 | 0.7616 (3) | 0.6493 (2) | 0.0648 (2) | 0.0496 (5) | |
C7 | 0.6279 (3) | 0.5683 (1) | 0.2759 (2) | 0.0366 (4) | |
C8 | 0.5984 (3) | 0.7255 (1) | 0.4719 (2) | 0.0385 (4) | |
C9 | 0.6632 (3) | 0.8387 (1) | 0.4276 (2) | 0.0385 (4) | |
C10 | 0.7043 (3) | 0.8969 (2) | 0.5019 (2) | 0.0413 (4) | |
C11 | 0.6951 (3) | 0.8610 (2) | 0.6272 (2) | 0.0544 (5) | |
C12 | 0.7671 (3) | 1.0150 (2) | 0.3292 (2) | 0.0474 (5) | |
C13 | 0.8188 (4) | 1.1089 (2) | 0.2393 (2) | 0.0674 (7) | |
C14 | 0.8003 (5) | 1.1028 (2) | 0.1338 (2) | 0.0880 (10) | |
C15 | 0.7319 (5) | 1.0061 (2) | 0.1179 (2) | 0.0863 (10) | |
C16 | 0.6818 (4) | 0.9130 (2) | 0.2070 (2) | 0.0625 (6) | |
C17 | 0.7015 (3) | 0.9149 (2) | 0.3149 (2) | 0.0438 (4) | |
C18 | 0.8306 (3) | 0.1669 (2) | 0.6431 (2) | 0.0547 (5) | |
C19 | 0.8989 (4) | 0.3612 (2) | 0.6225 (2) | 0.0692 (7) | |
C20 | 0.8215 (6) | 0.2320 (3) | 0.8135 (2) | 0.1060 (12) | |
H2o | 0.910 (4) | 0.5731 (18) | −0.232 (2) | 0.088 (10)* | |
H1w1 | 0.798 (2) | 0.371 (2) | 0.343 (2) | 0.069 (8)* | |
H1w2 | 0.902 (4) | 0.293 (2) | 0.402 (1) | 0.082 (9)* | |
H3n | 0.796 (3) | 1.048 (2) | 0.476 (2) | 0.066 (7)* | |
H2 | 0.6059 | 0.3987 | 0.1857 | 0.056* | |
H3 | 0.6956 | 0.3813 | −0.0024 | 0.065* | |
H5 | 0.8666 | 0.6999 | −0.1076 | 0.063* | |
H6 | 0.7787 | 0.7172 | 0.0811 | 0.060* | |
H8 | 0.5609 | 0.7053 | 0.5520 | 0.046* | |
H11a | 0.8227 | 0.8486 | 0.6363 | 0.082* | |
H11b | 0.6225 | 0.7931 | 0.6601 | 0.082* | |
H11c | 0.6341 | 0.9182 | 0.6656 | 0.082* | |
H13 | 0.8640 | 1.1731 | 0.2504 | 0.081* | |
H14 | 0.8339 | 1.1639 | 0.0719 | 0.106* | |
H15 | 0.7197 | 1.0043 | 0.0456 | 0.104* | |
H16 | 0.6353 | 0.8495 | 0.1949 | 0.075* | |
H18 | 0.7992 | 0.0971 | 0.6921 | 0.066* | |
H19a | 0.9576 | 0.3585 | 0.5437 | 0.104* | |
H19b | 0.9870 | 0.3933 | 0.6517 | 0.104* | |
H19c | 0.7847 | 0.4060 | 0.6270 | 0.104* | |
H20a | 0.7939 | 0.1548 | 0.8496 | 0.159* | |
H20b | 0.7161 | 0.2771 | 0.8441 | 0.159* | |
H20c | 0.9360 | 0.2530 | 0.8282 | 0.159* | |
Atomic displacement parameters (Å2) top | U11 | U22 | U33 | U12 | U13 | U23 |
Ni1 | 0.0462 (2) | 0.02738 (17) | 0.02759 (17) | −0.00525 (13) | −0.00232 (13) | −0.00707 (12) |
O1 | 0.0574 (8) | 0.0289 (6) | 0.0296 (6) | −0.0071 (5) | −0.0023 (6) | −0.0065 (5) |
O2 | 0.0886 (13) | 0.0797 (12) | 0.0342 (8) | −0.0206 (10) | 0.0003 (8) | −0.0234 (8) |
O3 | 0.0742 (10) | 0.0443 (8) | 0.0460 (8) | −0.0018 (7) | −0.0164 (7) | −0.0163 (6) |
O1W | 0.0779 (12) | 0.0563 (10) | 0.0456 (9) | 0.0104 (9) | −0.0011 (9) | −0.0020 (8) |
N1 | 0.0561 (10) | 0.0320 (7) | 0.0278 (7) | −0.0068 (7) | −0.0035 (7) | −0.0067 (6) |
N2 | 0.0455 (9) | 0.0322 (7) | 0.0301 (7) | −0.0045 (6) | −0.0032 (6) | −0.0079 (6) |
N3 | 0.0605 (11) | 0.0329 (8) | 0.0518 (10) | −0.0080 (7) | −0.0093 (8) | −0.0158 (7) |
N4 | 0.0706 (12) | 0.0652 (12) | 0.0491 (11) | 0.0054 (10) | −0.0183 (9) | −0.0270 (9) |
C1 | 0.0453 (10) | 0.0381 (9) | 0.0310 (9) | −0.0043 (8) | −0.0067 (8) | −0.0079 (7) |
C2 | 0.0651 (13) | 0.0376 (10) | 0.0342 (10) | −0.0069 (9) | −0.0081 (9) | −0.0082 (8) |
C3 | 0.0759 (15) | 0.0457 (11) | 0.0430 (11) | −0.0070 (10) | −0.0112 (10) | −0.0180 (9) |
C4 | 0.0541 (12) | 0.0609 (12) | 0.0310 (9) | −0.0059 (10) | −0.0057 (9) | −0.0166 (9) |
C5 | 0.0669 (14) | 0.0509 (12) | 0.0335 (10) | −0.0171 (10) | −0.0018 (9) | −0.0059 (8) |
C6 | 0.0671 (13) | 0.0427 (10) | 0.0351 (10) | −0.0146 (9) | −0.0023 (9) | −0.0102 (8) |
C7 | 0.0420 (10) | 0.0340 (9) | 0.0306 (9) | −0.0027 (7) | −0.0047 (7) | −0.0064 (7) |
C8 | 0.0474 (10) | 0.0332 (9) | 0.0323 (9) | −0.0045 (7) | −0.0034 (8) | −0.0097 (7) |
C9 | 0.0453 (10) | 0.0328 (9) | 0.0349 (9) | −0.0040 (7) | −0.0037 (8) | −0.0100 (7) |
C10 | 0.0456 (10) | 0.0337 (9) | 0.0435 (10) | −0.0025 (8) | −0.0056 (8) | −0.0132 (8) |
C11 | 0.0742 (15) | 0.0474 (12) | 0.0441 (11) | −0.0046 (10) | −0.0129 (10) | −0.0176 (9) |
C12 | 0.0587 (12) | 0.0335 (9) | 0.0468 (11) | −0.0060 (8) | −0.0064 (9) | −0.0101 (8) |
C13 | 0.0954 (19) | 0.0378 (11) | 0.0606 (15) | −0.0182 (11) | −0.0068 (13) | −0.0066 (10) |
C14 | 0.151 (3) | 0.0427 (13) | 0.0558 (15) | −0.0262 (15) | −0.0136 (17) | 0.0086 (11) |
C15 | 0.158 (3) | 0.0533 (14) | 0.0456 (13) | −0.0178 (17) | −0.0296 (16) | −0.0003 (11) |
C16 | 0.1036 (19) | 0.0378 (11) | 0.0459 (12) | −0.0099 (11) | −0.0204 (12) | −0.0058 (9) |
C17 | 0.0566 (12) | 0.0302 (9) | 0.0409 (10) | −0.0052 (8) | −0.0072 (9) | −0.0066 (8) |
C18 | 0.0673 (14) | 0.0495 (12) | 0.0479 (12) | 0.0003 (10) | −0.0151 (11) | −0.0123 (10) |
C19 | 0.0834 (18) | 0.0577 (14) | 0.0809 (18) | 0.0022 (13) | −0.0319 (15) | −0.0322 (13) |
C20 | 0.157 (3) | 0.118 (3) | 0.0524 (16) | −0.004 (2) | −0.0293 (19) | −0.0350 (18) |
Geometric parameters (Å, º) top
Ni1—O1 | 1.833 (1) | C5—H5 | 0.9300 |
Ni1—O1i | 1.833 (1) | C6—H6 | 0.9300 |
Ni1—N2i | 1.862 (1) | C8—C9 | 1.432 (2) |
Ni1—N2 | 1.862 (1) | C8—H8 | 0.9300 |
O1—C7 | 1.322 (2) | C9—C10 | 1.394 (3) |
O2—C4 | 1.358 (2) | C9—C17 | 1.453 (3) |
O2—H2o | 0.85 (1) | C10—C11 | 1.494 (3) |
O3—C18 | 1.231 (2) | C11—H11a | 0.9600 |
O1W—H1w1 | 0.84 (1) | C11—H11b | 0.9600 |
O1W—H1w2 | 0.84 (1) | C11—H11c | 0.9600 |
N1—C7 | 1.302 (2) | C12—C13 | 1.393 (3) |
N1—N2 | 1.410 (2) | C12—C17 | 1.416 (3) |
N2—C8 | 1.299 (2) | C13—C14 | 1.369 (4) |
N3—C10 | 1.349 (2) | C13—H13 | 0.9300 |
N3—C12 | 1.376 (3) | C14—C15 | 1.395 (4) |
N3—H3n | 0.861 (10) | C14—H14 | 0.9300 |
N4—C18 | 1.316 (3) | C15—C16 | 1.380 (3) |
N4—C20 | 1.443 (3) | C15—H15 | 0.9300 |
N4—C19 | 1.453 (3) | C16—C17 | 1.390 (3) |
C1—C6 | 1.387 (3) | C16—H16 | 0.9300 |
C1—C2 | 1.394 (3) | C18—H18 | 0.9300 |
C1—C7 | 1.476 (2) | C19—H19a | 0.9600 |
C2—C3 | 1.381 (3) | C19—H19b | 0.9600 |
C2—H2 | 0.9300 | C19—H19c | 0.9600 |
C3—C4 | 1.375 (3) | C20—H20a | 0.9600 |
C3—H3 | 0.9300 | C20—H20b | 0.9600 |
C4—C5 | 1.388 (3) | C20—H20c | 0.9600 |
C5—C6 | 1.385 (3) | | |
| | | |
O1—Ni1—N2 | 83.52 (6) | C10—C9—C17 | 106.48 (16) |
O1—Ni1—N2i | 96.48 (6) | C8—C9—C17 | 134.51 (17) |
O1—Ni1—O1i | 180.0 | N3—C10—C9 | 109.52 (17) |
O1i—Ni1—N2i | 83.52 (6) | N3—C10—C11 | 119.78 (17) |
O1i—Ni1—N2 | 96.48 (6) | C9—C10—C11 | 130.66 (17) |
N2i—Ni1—N2 | 180.0 | C10—C11—H11a | 109.5 |
C7—O1—Ni1 | 111.37 (10) | C10—C11—H11b | 109.5 |
C4—O2—H2o | 114 (2) | H11a—C11—H11b | 109.5 |
H1w1—O1W—H1w2 | 110 (3) | C10—C11—H11c | 109.5 |
C7—N1—N2 | 108.06 (14) | H11a—C11—H11c | 109.5 |
C8—N2—N1 | 119.22 (14) | H11b—C11—H11c | 109.5 |
C8—N2—Ni1 | 126.36 (12) | N3—C12—C13 | 129.01 (19) |
N1—N2—Ni1 | 114.32 (11) | N3—C12—C17 | 108.10 (17) |
C10—N3—C12 | 110.12 (16) | C13—C12—C17 | 122.9 (2) |
C10—N3—H3n | 121.7 (16) | C14—C13—C12 | 117.4 (2) |
C12—N3—H3n | 128.2 (16) | C14—C13—H13 | 121.3 |
C18—N4—C20 | 122.0 (2) | C12—C13—H13 | 121.3 |
C18—N4—C19 | 121.52 (19) | C13—C14—C15 | 120.9 (2) |
C20—N4—C19 | 116.5 (2) | C13—C14—H14 | 119.5 |
C6—C1—C2 | 118.08 (17) | C15—C14—H14 | 119.5 |
C6—C1—C7 | 122.32 (17) | C16—C15—C14 | 121.6 (2) |
C2—C1—C7 | 119.60 (16) | C16—C15—H15 | 119.2 |
C3—C2—C1 | 120.76 (18) | C14—C15—H15 | 119.2 |
C3—C2—H2 | 119.6 | C15—C16—C17 | 119.4 (2) |
C1—C2—H2 | 119.6 | C15—C16—H16 | 120.3 |
C4—C3—C2 | 120.65 (19) | C17—C16—H16 | 120.3 |
C4—C3—H3 | 119.7 | C16—C17—C12 | 117.81 (18) |
C2—C3—H3 | 119.7 | C16—C17—C9 | 136.35 (18) |
O2—C4—C3 | 117.86 (19) | C12—C17—C9 | 105.77 (17) |
O2—C4—C5 | 122.69 (19) | O3—C18—N4 | 126.3 (2) |
C3—C4—C5 | 119.43 (18) | O3—C18—H18 | 116.8 |
C6—C5—C4 | 119.84 (18) | N4—C18—H18 | 116.8 |
C6—C5—H5 | 120.1 | N4—C19—H19a | 109.5 |
C4—C5—H5 | 120.1 | N4—C19—H19b | 109.5 |
C1—C6—C5 | 121.24 (18) | H19a—C19—H19b | 109.5 |
C1—C6—H6 | 119.4 | N4—C19—H19c | 109.5 |
C5—C6—H6 | 119.4 | H19a—C19—H19c | 109.5 |
N1—C7—O1 | 122.54 (16) | H19b—C19—H19c | 109.5 |
N1—C7—C1 | 120.75 (16) | N4—C20—H20a | 109.5 |
O1—C7—C1 | 116.71 (15) | N4—C20—H20b | 109.5 |
N2—C8—C9 | 133.60 (17) | H20a—C20—H20b | 109.5 |
N2—C8—H8 | 113.2 | N4—C20—H20c | 109.5 |
C9—C8—H8 | 113.2 | H20a—C20—H20c | 109.5 |
C10—C9—C8 | 119.01 (16) | H20b—C20—H20c | 109.5 |
| | | |
N2i—Ni1—O1—C7 | 176.52 (12) | Ni1—N2—C8—C9 | 177.63 (17) |
N2—Ni1—O1—C7 | −3.48 (12) | N2—C8—C9—C10 | −166.0 (2) |
C7—N1—N2—C8 | 172.68 (17) | N2—C8—C9—C17 | 13.5 (4) |
C7—N1—N2—Ni1 | −3.80 (19) | C12—N3—C10—C9 | 0.8 (2) |
O1—Ni1—N2—C8 | −172.04 (17) | C12—N3—C10—C11 | 178.84 (19) |
O1i—Ni1—N2—C8 | 7.96 (17) | C8—C9—C10—N3 | 178.62 (17) |
O1—Ni1—N2—N1 | 4.15 (12) | C17—C9—C10—N3 | −1.1 (2) |
O1i—Ni1—N2—N1 | −175.85 (12) | C8—C9—C10—C11 | 0.8 (3) |
N2i—Ni1—N2—N1 | −56 (100) | C17—C9—C10—C11 | −178.9 (2) |
C6—C1—C2—C3 | 0.4 (3) | C10—N3—C12—C13 | 179.3 (2) |
C7—C1—C2—C3 | −178.95 (19) | C10—N3—C12—C17 | −0.1 (2) |
C1—C2—C3—C4 | −0.2 (3) | N3—C12—C13—C14 | −178.0 (3) |
C2—C3—C4—O2 | −178.8 (2) | C17—C12—C13—C14 | 1.3 (4) |
C2—C3—C4—C5 | −0.2 (3) | C12—C13—C14—C15 | 0.2 (5) |
O2—C4—C5—C6 | 179.0 (2) | C13—C14—C15—C16 | −0.5 (6) |
C3—C4—C5—C6 | 0.4 (3) | C14—C15—C16—C17 | −0.6 (5) |
C2—C1—C6—C5 | −0.2 (3) | C15—C16—C17—C12 | 2.0 (4) |
C7—C1—C6—C5 | 179.16 (19) | C15—C16—C17—C9 | 178.6 (3) |
C4—C5—C6—C1 | −0.2 (4) | N3—C12—C17—C16 | 177.0 (2) |
N2—N1—C7—O1 | 0.9 (2) | C13—C12—C17—C16 | −2.4 (3) |
N2—N1—C7—C1 | −178.49 (15) | N3—C12—C17—C9 | −0.5 (2) |
Ni1—O1—C7—N1 | 2.4 (2) | C13—C12—C17—C9 | −180.0 (2) |
Ni1—O1—C7—C1 | −178.19 (13) | C10—C9—C17—C16 | −175.9 (3) |
C6—C1—C7—N1 | 5.3 (3) | C8—C9—C17—C16 | 4.5 (4) |
C2—C1—C7—N1 | −175.40 (18) | C10—C9—C17—C12 | 1.0 (2) |
C6—C1—C7—O1 | −174.15 (18) | C8—C9—C17—C12 | −178.7 (2) |
C2—C1—C7—O1 | 5.2 (3) | C20—N4—C18—O3 | 179.6 (3) |
N1—N2—C8—C9 | 1.6 (3) | C19—N4—C18—O3 | −0.2 (4) |
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 |
O2—H2o···O1wii | 0.85 (1) | 1.85 (1) | 2.688 (2) | 171 (3) |
O1w—H1w1···O1 | 0.84 (1) | 2.02 (1) | 2.852 (2) | 173 (3) |
O1w—H1w2···O3 | 0.84 (1) | 1.94 (1) | 2.754 (2) | 163 (3) |
N3—H3n···O3iii | 0.86 (1) | 2.00 (1) | 2.859 (2) | 173 (2) |
Symmetry codes: (ii) −x+2, −y+1, −z; (iii) x, y+1, z. |