The title Schiff base molecule displays a
trans configurations with respect to the C=N double bond. Intermolecular N—H
O and C —H
O hydrogen bonds connect centrosymmetrically related molecules into dimers, forming rings of
(11) and
(10) graph-set motif stacked along the
a axis into a columnar arrangement.
Supporting information
CCDC reference: 1433602
Key indicators
- Single-crystal X-ray study
- T = 293 K
- Mean (C-C) = 0.003 Å
- R factor = 0.039
- wR factor = 0.108
- Data-to-parameter ratio = 15.0
checkCIF/PLATON results
No syntax errors found
Alert level C
PLAT244_ALERT_4_C Low 'Solvent' Ueq as Compared to Neighbors of N5 Check
PLAT918_ALERT_3_C Reflection(s) with I(obs) much Smaller I(calc) . 1 Check
Alert level G
PLAT002_ALERT_2_G Number of Distance or Angle Restraints on AtSite 4 Note
PLAT066_ALERT_1_G Predicted and Reported Tmin&Tmax Range Identical ? Check
PLAT172_ALERT_4_G The CIF-Embedded .res File Contains DFIX Records 1 Report
PLAT199_ALERT_1_G Reported _cell_measurement_temperature ..... (K) 293 Check
PLAT200_ALERT_1_G Reported _diffrn_ambient_temperature ..... (K) 293 Check
PLAT860_ALERT_3_G Number of Least-Squares Restraints ............. 2 Note
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 4 Note
PLAT978_ALERT_2_G Number C-C Bonds with Positive Residual Density. 4 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
9 ALERT level G = General information/check it is not something unexpected
3 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
3 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: CrysAlis CCD (Oxford Diffraction, 2009); cell refinement: CrysAlis RED (Oxford Diffraction, 2009); data reduction: CrysAlis RED (Oxford Diffraction, 2009); program(s) used to solve structure: SHELXS97 (Sheldrick, 2008); program(s) used to refine structure: SHELXL2014 (Sheldrick, 2015); molecular graphics: PLATON (Spek, 2009), Mercury (Macrae et al., 2008); software used to prepare material for publication: SHELXTL (Sheldrick, 2008).
(
E)-4-Methyl-
N-{2-[2-(4-nitrobenzylidene)hydrazin-1-yl]-2-oxoethyl}benzenesulfonamide
N,
N-dimethylformamide monosolvate
top
Crystal data top
C16H16N4O5S·C3H7NO | Z = 2 |
Mr = 449.48 | F(000) = 472 |
Triclinic, P1 | Dx = 1.402 Mg m−3 |
a = 8.3515 (9) Å | Mo Kα radiation, λ = 0.71073 Å |
b = 10.5778 (9) Å | Cell parameters from 3760 reflections |
c = 13.673 (1) Å | θ = 2.6–27.8° |
α = 107.609 (7)° | µ = 0.20 mm−1 |
β = 98.954 (8)° | T = 293 K |
γ = 106.505 (8)° | Prism, colourless |
V = 1064.57 (18) Å3 | 0.40 × 0.40 × 0.22 mm |
Data collection top
Oxford Diffraction Xcalibur single-crystal X-ray diffractometer with
Sapphire CCD Detector | 3592 reflections with I > 2σ(I) |
Rotation method data acquisition using ω scans | Rint = 0.010 |
Absorption correction: multi-scan (CrysAlis RED; Oxford Diffraction, 2009) | θmax = 26.4°, θmin = 2.6° |
Tmin = 0.925, Tmax = 0.958 | h = −10→10 |
7611 measured reflections | k = −9→13 |
4347 independent reflections | l = −17→12 |
Refinement top
Refinement on F2 | 2 restraints |
Least-squares matrix: full | Hydrogen site location: mixed |
R[F2 > 2σ(F2)] = 0.039 | H atoms treated by a mixture of independent and constrained refinement |
wR(F2) = 0.108 | w = 1/[σ2(Fo2) + (0.0546P)2 + 0.3531P] where P = (Fo2 + 2Fc2)/3 |
S = 1.04 | (Δ/σ)max = 0.005 |
4347 reflections | Δρmax = 0.32 e Å−3 |
289 parameters | Δρmin = −0.37 e Å−3 |
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 | |
C1 | 0.2529 (2) | 0.80172 (17) | 0.30177 (12) | 0.0350 (3) | |
C2 | 0.3764 (2) | 0.73865 (18) | 0.28367 (13) | 0.0395 (4) | |
H2 | 0.3431 | 0.6405 | 0.2546 | 0.047* | |
C3 | 0.5479 (2) | 0.8222 (2) | 0.30897 (14) | 0.0436 (4) | |
H3 | 0.6298 | 0.7794 | 0.2971 | 0.052* | |
C4 | 0.6013 (2) | 0.9691 (2) | 0.35194 (14) | 0.0479 (4) | |
C5 | 0.4745 (3) | 1.0292 (2) | 0.3654 (2) | 0.0671 (6) | |
H5 | 0.5067 | 1.1274 | 0.3914 | 0.080* | |
C6 | 0.3022 (3) | 0.9472 (2) | 0.34106 (17) | 0.0567 (5) | |
H6 | 0.2198 | 0.9898 | 0.3511 | 0.068* | |
C7 | −0.0943 (2) | 0.74344 (18) | 0.10290 (13) | 0.0385 (4) | |
H7A | −0.0028 | 0.8356 | 0.1359 | 0.046* | |
H7B | −0.1997 | 0.7535 | 0.1198 | 0.046* | |
C8 | −0.1211 (2) | 0.69253 (16) | −0.01586 (13) | 0.0348 (3) | |
C9 | −0.2478 (2) | 0.96612 (17) | −0.05202 (13) | 0.0356 (3) | |
H9 | −0.2613 | 0.9393 | −0.1250 | 0.043* | |
C10 | −0.2839 (2) | 1.09163 (16) | 0.00553 (12) | 0.0340 (3) | |
C11 | −0.2613 (3) | 1.13753 (19) | 0.11526 (14) | 0.0476 (4) | |
H11 | −0.2174 | 1.0903 | 0.1539 | 0.057* | |
C12 | −0.3032 (3) | 1.2520 (2) | 0.16685 (14) | 0.0503 (5) | |
H12 | −0.2892 | 1.2819 | 0.2400 | 0.060* | |
C13 | −0.3662 (2) | 1.32173 (17) | 0.10891 (13) | 0.0386 (4) | |
C14 | −0.3851 (2) | 1.28192 (18) | 0.00117 (14) | 0.0415 (4) | |
H14 | −0.4242 | 1.3322 | −0.0364 | 0.050* | |
C15 | −0.3449 (2) | 1.16557 (18) | −0.05016 (13) | 0.0401 (4) | |
H15 | −0.3590 | 1.1364 | −0.1233 | 0.048* | |
C16 | 0.7899 (3) | 1.0600 (3) | 0.3827 (2) | 0.0686 (6) | |
H16A | 0.8405 | 1.0282 | 0.3258 | 0.103* | |
H16B | 0.8491 | 1.0529 | 0.4458 | 0.103* | |
H16C | 0.8002 | 1.1568 | 0.3961 | 0.103* | |
C17 | 0.2091 (3) | 0.3550 (2) | 0.33832 (16) | 0.0609 (6) | |
H17 | 0.1971 | 0.4207 | 0.3081 | 0.073* | |
C18 | 0.2597 (4) | 0.3016 (3) | 0.49621 (18) | 0.0765 (7) | |
H18A | 0.3792 | 0.3327 | 0.5340 | 0.115* | |
H18B | 0.2256 | 0.2072 | 0.4450 | 0.115* | |
H18C | 0.1896 | 0.3022 | 0.5456 | 0.115* | |
C19 | 0.2526 (5) | 0.5369 (3) | 0.50861 (19) | 0.0921 (10) | |
H19A | 0.2398 | 0.5910 | 0.4647 | 0.138* | |
H19B | 0.3644 | 0.5825 | 0.5590 | 0.138* | |
H19C | 0.1641 | 0.5308 | 0.5460 | 0.138* | |
N1 | −0.04825 (19) | 0.64431 (15) | 0.14518 (11) | 0.0387 (3) | |
H1N | −0.016 (2) | 0.5851 (18) | 0.1079 (14) | 0.046* | |
N2 | −0.17143 (19) | 0.77528 (14) | −0.06336 (11) | 0.0385 (3) | |
H2N | −0.181 (2) | 0.758 (2) | −0.1298 (12) | 0.046* | |
N3 | −0.19806 (17) | 0.89339 (13) | −0.00295 (10) | 0.0347 (3) | |
N4 | −0.4191 (2) | 1.43967 (16) | 0.16299 (13) | 0.0497 (4) | |
N5 | 0.2367 (2) | 0.39543 (18) | 0.44244 (12) | 0.0535 (4) | |
O1 | 0.02638 (17) | 0.57237 (14) | 0.29491 (11) | 0.0516 (3) | |
O2 | −0.05327 (16) | 0.78629 (15) | 0.32153 (10) | 0.0501 (3) | |
O3 | −0.09848 (18) | 0.58545 (13) | −0.06656 (10) | 0.0496 (3) | |
O4 | −0.4233 (3) | 1.46197 (19) | 0.25518 (13) | 0.0808 (5) | |
O5 | −0.4588 (2) | 1.50928 (16) | 0.11362 (13) | 0.0681 (4) | |
O6 | 0.1980 (3) | 0.23973 (17) | 0.27815 (11) | 0.0757 (5) | |
S1 | 0.03312 (5) | 0.69598 (5) | 0.27126 (3) | 0.03706 (13) | |
Atomic displacement parameters (Å2) top | U11 | U22 | U33 | U12 | U13 | U23 |
C1 | 0.0402 (8) | 0.0406 (9) | 0.0286 (7) | 0.0209 (7) | 0.0080 (6) | 0.0129 (6) |
C2 | 0.0461 (9) | 0.0387 (9) | 0.0435 (9) | 0.0246 (7) | 0.0132 (7) | 0.0187 (7) |
C3 | 0.0430 (9) | 0.0543 (11) | 0.0461 (10) | 0.0285 (8) | 0.0133 (7) | 0.0242 (8) |
C4 | 0.0438 (10) | 0.0525 (11) | 0.0418 (9) | 0.0167 (8) | 0.0063 (7) | 0.0125 (8) |
C5 | 0.0575 (12) | 0.0384 (10) | 0.0833 (16) | 0.0156 (9) | 0.0118 (11) | −0.0032 (10) |
C6 | 0.0489 (11) | 0.0439 (10) | 0.0701 (13) | 0.0260 (9) | 0.0140 (9) | 0.0031 (9) |
C7 | 0.0469 (9) | 0.0381 (8) | 0.0363 (8) | 0.0223 (7) | 0.0093 (7) | 0.0155 (7) |
C8 | 0.0335 (8) | 0.0330 (8) | 0.0363 (8) | 0.0132 (6) | 0.0063 (6) | 0.0109 (7) |
C9 | 0.0408 (8) | 0.0348 (8) | 0.0327 (8) | 0.0136 (7) | 0.0085 (6) | 0.0146 (7) |
C10 | 0.0348 (8) | 0.0321 (8) | 0.0361 (8) | 0.0111 (6) | 0.0076 (6) | 0.0152 (7) |
C11 | 0.0671 (12) | 0.0460 (10) | 0.0337 (9) | 0.0289 (9) | 0.0038 (8) | 0.0161 (8) |
C12 | 0.0694 (12) | 0.0498 (11) | 0.0303 (9) | 0.0282 (9) | 0.0057 (8) | 0.0098 (8) |
C13 | 0.0383 (8) | 0.0332 (8) | 0.0417 (9) | 0.0137 (7) | 0.0074 (7) | 0.0104 (7) |
C14 | 0.0469 (9) | 0.0421 (9) | 0.0454 (9) | 0.0223 (8) | 0.0120 (7) | 0.0234 (8) |
C15 | 0.0487 (9) | 0.0440 (9) | 0.0349 (8) | 0.0205 (8) | 0.0122 (7) | 0.0197 (7) |
C16 | 0.0492 (12) | 0.0686 (14) | 0.0714 (15) | 0.0119 (10) | 0.0067 (10) | 0.0157 (12) |
C17 | 0.0906 (16) | 0.0637 (13) | 0.0425 (10) | 0.0440 (12) | 0.0159 (10) | 0.0236 (10) |
C18 | 0.125 (2) | 0.0649 (14) | 0.0463 (12) | 0.0357 (15) | 0.0264 (13) | 0.0263 (11) |
C19 | 0.148 (3) | 0.0744 (16) | 0.0518 (14) | 0.0653 (18) | 0.0017 (15) | 0.0082 (12) |
N1 | 0.0462 (8) | 0.0389 (8) | 0.0369 (8) | 0.0245 (6) | 0.0084 (6) | 0.0143 (6) |
N2 | 0.0517 (8) | 0.0368 (7) | 0.0301 (7) | 0.0211 (6) | 0.0092 (6) | 0.0120 (6) |
N3 | 0.0391 (7) | 0.0319 (7) | 0.0340 (7) | 0.0150 (6) | 0.0077 (5) | 0.0118 (6) |
N4 | 0.0467 (9) | 0.0446 (9) | 0.0519 (10) | 0.0204 (7) | 0.0073 (7) | 0.0085 (7) |
N5 | 0.0735 (11) | 0.0551 (9) | 0.0376 (8) | 0.0337 (9) | 0.0124 (7) | 0.0157 (7) |
O1 | 0.0566 (8) | 0.0575 (8) | 0.0568 (8) | 0.0243 (6) | 0.0169 (6) | 0.0377 (7) |
O2 | 0.0494 (7) | 0.0667 (8) | 0.0454 (7) | 0.0334 (6) | 0.0216 (6) | 0.0190 (6) |
O3 | 0.0665 (8) | 0.0425 (7) | 0.0430 (7) | 0.0318 (6) | 0.0107 (6) | 0.0099 (5) |
O4 | 0.1144 (14) | 0.0879 (12) | 0.0502 (9) | 0.0643 (11) | 0.0239 (9) | 0.0111 (8) |
O5 | 0.0834 (11) | 0.0599 (9) | 0.0783 (10) | 0.0475 (8) | 0.0219 (8) | 0.0277 (8) |
O6 | 0.1306 (15) | 0.0703 (10) | 0.0394 (8) | 0.0556 (10) | 0.0250 (8) | 0.0178 (7) |
S1 | 0.0401 (2) | 0.0458 (2) | 0.0349 (2) | 0.02253 (18) | 0.01295 (16) | 0.01948 (18) |
Geometric parameters (Å, º) top
C1—C6 | 1.377 (2) | C13—C14 | 1.374 (2) |
C1—C2 | 1.393 (2) | C13—N4 | 1.468 (2) |
C1—S1 | 1.7629 (17) | C14—C15 | 1.381 (2) |
C2—C3 | 1.376 (2) | C14—H14 | 0.9300 |
C2—H2 | 0.9300 | C15—H15 | 0.9300 |
C3—C4 | 1.389 (3) | C16—H16A | 0.9600 |
C3—H3 | 0.9300 | C16—H16B | 0.9600 |
C4—C5 | 1.390 (3) | C16—H16C | 0.9600 |
C4—C16 | 1.507 (3) | C17—O6 | 1.215 (2) |
C5—C6 | 1.379 (3) | C17—N5 | 1.318 (2) |
C5—H5 | 0.9300 | C17—H17 | 0.9300 |
C6—H6 | 0.9300 | C18—N5 | 1.438 (3) |
C7—N1 | 1.452 (2) | C18—H18A | 0.9600 |
C7—C8 | 1.505 (2) | C18—H18B | 0.9600 |
C7—H7A | 0.9700 | C18—H18C | 0.9600 |
C7—H7B | 0.9700 | C19—N5 | 1.451 (3) |
C8—O3 | 1.2191 (19) | C19—H19A | 0.9600 |
C8—N2 | 1.354 (2) | C19—H19B | 0.9600 |
C9—N3 | 1.274 (2) | C19—H19C | 0.9600 |
C9—C10 | 1.464 (2) | N1—S1 | 1.6082 (14) |
C9—H9 | 0.9300 | N1—H1N | 0.818 (15) |
C10—C15 | 1.384 (2) | N2—N3 | 1.3723 (18) |
C10—C11 | 1.393 (2) | N2—H2N | 0.856 (15) |
C11—C12 | 1.374 (3) | N4—O5 | 1.216 (2) |
C11—H11 | 0.9300 | N4—O4 | 1.218 (2) |
C12—C13 | 1.376 (2) | O1—S1 | 1.4273 (13) |
C12—H12 | 0.9300 | O2—S1 | 1.4333 (13) |
| | | |
C6—C1—C2 | 119.83 (16) | C15—C14—H14 | 120.7 |
C6—C1—S1 | 119.93 (13) | C14—C15—C10 | 121.03 (16) |
C2—C1—S1 | 120.22 (13) | C14—C15—H15 | 119.5 |
C3—C2—C1 | 119.72 (16) | C10—C15—H15 | 119.5 |
C3—C2—H2 | 120.1 | C4—C16—H16A | 109.5 |
C1—C2—H2 | 120.1 | C4—C16—H16B | 109.5 |
C2—C3—C4 | 121.40 (16) | H16A—C16—H16B | 109.5 |
C2—C3—H3 | 119.3 | C4—C16—H16C | 109.5 |
C4—C3—H3 | 119.3 | H16A—C16—H16C | 109.5 |
C3—C4—C5 | 117.63 (18) | H16B—C16—H16C | 109.5 |
C3—C4—C16 | 121.21 (18) | O6—C17—N5 | 126.0 (2) |
C5—C4—C16 | 121.16 (19) | O6—C17—H17 | 117.0 |
C6—C5—C4 | 121.71 (18) | N5—C17—H17 | 117.0 |
C6—C5—H5 | 119.1 | N5—C18—H18A | 109.5 |
C4—C5—H5 | 119.1 | N5—C18—H18B | 109.5 |
C1—C6—C5 | 119.63 (17) | H18A—C18—H18B | 109.5 |
C1—C6—H6 | 120.2 | N5—C18—H18C | 109.5 |
C5—C6—H6 | 120.2 | H18A—C18—H18C | 109.5 |
N1—C7—C8 | 110.67 (13) | H18B—C18—H18C | 109.5 |
N1—C7—H7A | 109.5 | N5—C19—H19A | 109.5 |
C8—C7—H7A | 109.5 | N5—C19—H19B | 109.5 |
N1—C7—H7B | 109.5 | H19A—C19—H19B | 109.5 |
C8—C7—H7B | 109.5 | N5—C19—H19C | 109.5 |
H7A—C7—H7B | 108.1 | H19A—C19—H19C | 109.5 |
O3—C8—N2 | 121.73 (15) | H19B—C19—H19C | 109.5 |
O3—C8—C7 | 123.18 (14) | C7—N1—S1 | 118.51 (11) |
N2—C8—C7 | 115.08 (13) | C7—N1—H1N | 118.6 (14) |
N3—C9—C10 | 120.54 (14) | S1—N1—H1N | 115.5 (14) |
N3—C9—H9 | 119.7 | C8—N2—N3 | 119.45 (13) |
C10—C9—H9 | 119.7 | C8—N2—H2N | 120.9 (13) |
C15—C10—C11 | 118.91 (15) | N3—N2—H2N | 119.5 (13) |
C15—C10—C9 | 119.51 (14) | C9—N3—N2 | 116.76 (13) |
C11—C10—C9 | 121.57 (14) | O5—N4—O4 | 123.01 (17) |
C12—C11—C10 | 120.49 (16) | O5—N4—C13 | 118.74 (16) |
C12—C11—H11 | 119.8 | O4—N4—C13 | 118.25 (16) |
C10—C11—H11 | 119.8 | C17—N5—C18 | 120.84 (18) |
C11—C12—C13 | 119.13 (16) | C17—N5—C19 | 122.27 (18) |
C11—C12—H12 | 120.4 | C18—N5—C19 | 116.84 (17) |
C13—C12—H12 | 120.4 | O1—S1—O2 | 119.85 (8) |
C14—C13—C12 | 121.87 (16) | O1—S1—N1 | 107.10 (8) |
C14—C13—N4 | 118.89 (15) | O2—S1—N1 | 106.47 (8) |
C12—C13—N4 | 119.22 (16) | O1—S1—C1 | 107.68 (8) |
C13—C14—C15 | 118.52 (15) | O2—S1—C1 | 107.05 (8) |
C13—C14—H14 | 120.7 | N1—S1—C1 | 108.25 (8) |
| | | |
C6—C1—C2—C3 | 2.5 (3) | C11—C10—C15—C14 | −0.8 (3) |
S1—C1—C2—C3 | −179.22 (12) | C9—C10—C15—C14 | 178.07 (15) |
C1—C2—C3—C4 | −0.4 (3) | C8—C7—N1—S1 | 164.48 (11) |
C2—C3—C4—C5 | −2.1 (3) | O3—C8—N2—N3 | 178.85 (15) |
C2—C3—C4—C16 | 178.09 (18) | C7—C8—N2—N3 | −1.6 (2) |
C3—C4—C5—C6 | 2.5 (3) | C10—C9—N3—N2 | 178.34 (13) |
C16—C4—C5—C6 | −177.7 (2) | C8—N2—N3—C9 | −178.98 (14) |
C2—C1—C6—C5 | −2.1 (3) | C14—C13—N4—O5 | −8.6 (3) |
S1—C1—C6—C5 | 179.61 (17) | C12—C13—N4—O5 | 173.06 (18) |
C4—C5—C6—C1 | −0.4 (4) | C14—C13—N4—O4 | 170.45 (18) |
N1—C7—C8—O3 | −3.0 (2) | C12—C13—N4—O4 | −7.9 (3) |
N1—C7—C8—N2 | 177.44 (14) | O6—C17—N5—C18 | 1.0 (4) |
N3—C9—C10—C15 | −177.27 (15) | O6—C17—N5—C19 | 178.4 (3) |
N3—C9—C10—C11 | 1.6 (2) | C7—N1—S1—O1 | 165.96 (13) |
C15—C10—C11—C12 | 1.7 (3) | C7—N1—S1—O2 | 36.61 (15) |
C9—C10—C11—C12 | −177.14 (17) | C7—N1—S1—C1 | −78.19 (14) |
C10—C11—C12—C13 | −0.7 (3) | C6—C1—S1—O1 | −145.65 (15) |
C11—C12—C13—C14 | −1.3 (3) | C2—C1—S1—O1 | 36.03 (15) |
C11—C12—C13—N4 | 177.02 (17) | C6—C1—S1—O2 | −15.55 (17) |
C12—C13—C14—C15 | 2.2 (3) | C2—C1—S1—O2 | 166.13 (13) |
N4—C13—C14—C15 | −176.14 (15) | C6—C1—S1—N1 | 98.87 (16) |
C13—C14—C15—C10 | −1.1 (3) | C2—C1—S1—N1 | −79.45 (14) |
Hydrogen-bond geometry (Å, º) topCg1 is the centroid of the C1–C6 ring. |
D—H···A | D—H | H···A | D···A | D—H···A |
N1—H1N···O3i | 0.82 (2) | 2.24 (2) | 3.0142 (18) | 158 (2) |
N2—H2N···O6i | 0.86 (2) | 2.02 (2) | 2.863 (2) | 168 (2) |
C3—H3···O2ii | 0.93 | 2.59 | 3.442 (2) | 152 |
C14—H14···O5iii | 0.93 | 2.56 | 3.484 (2) | 171 |
C18—H18C···O2iv | 0.96 | 2.56 | 3.446 (3) | 154 |
C15—H15···Cg1v | 0.93 | 2.66 | 3.564 (2) | 164 |
Symmetry codes: (i) −x, −y+1, −z; (ii) x+1, y, z; (iii) −x−1, −y+3, −z; (iv) −x, −y+1, −z+1; (v) −x, −y+2, −z. |