The reaction of copper(II) chloride with 4-cyanobenzoic acid and 1,10-phenanthroline in a mixture of dimethylformamide and methanol gives the title complex, [CuCl(C
8H
4NO
2)(C
12H
8N
2)(H
2O)]·H
2O. The Cu
II ion is coordinated by one 1,10-phenanthroline, one water molecule, one Cl atom, and one 4-cyanobenzoate ligand. In the crystal structure, there are O—H
Cl hydrogen bonds and π–π-stacking interactions.
Supporting information
CCDC reference: 221631
Key indicators
- Single-crystal X-ray study
- T = 293 K
- Mean (C-C) = 0.004 Å
- R factor = 0.034
- wR factor = 0.088
- Data-to-parameter ratio = 11.8
checkCIF results
No syntax errors found
ADDSYM reports no extra symmetry
Alert Level B:
ABSTM_02 Alert B The ratio of expected to reported Tmax/Tmin(RR') is < 0.75
Tmin and Tmax reported: 0.382 0.655
Tmin' and Tmax expected: 0.568 0.655
RR' = 0.672
Please check that your absorption correction is appropriate.
Alert Level C:
PLAT_371 Alert C Long C(sp2)-C(sp1) Bond C17 - C20 = 1.44 Ang.
0 Alert Level A = Potentially serious problem
1 Alert Level B = Potential problem
1 Alert Level C = Please check
Data collection: SMART (Bruker, 1997); cell refinement: SMART; data reduction: SAINT (Bruker, 1997) and SHELXTL (Bruker, 1997); program(s) used to solve structure: SHELXS97 (Sheldrick, 1997); program(s) used to refine structure: SHELXL97 (Sheldrick, 1997); molecular graphics: SHELXTL; software used to prepare material for publication: SHELXTL.
Crystal data top
[CuCl(C8H4NO2)(C12H8N2)(H2O)]·H2O | Z = 2 |
Mr = 461.35 | F(000) = 470 |
Triclinic, P1 | Dx = 1.603 Mg m−3 |
Hall symbol: -P 1 | Mo Kα radiation, λ = 0.71073 Å |
a = 6.5460 (6) Å | Cell parameters from 3099 reflections |
b = 9.4402 (8) Å | θ = 5.2–55.6° |
c = 15.6840 (14) Å | µ = 1.32 mm−1 |
α = 87.438 (2)° | T = 293 K |
β = 88.035 (2)° | Plate, blue |
γ = 81.046 (2)° | 0.42 × 0.35 × 0.32 mm |
V = 956.07 (15) Å3 | |
Data collection top
Bruker CCD area-detector diffractometer | 3871 independent reflections |
Radiation source: fine-focus sealed tube | 3377 reflections with I > 2σ(I) |
Graphite monochromator | Rint = 0.044 |
φ and ω scans | θmax = 26.5°, θmin = 2.2° |
Absorption correction: multi-scan (SADABS; Sheldrick, 1996) | h = −8→7 |
Tmin = 0.382, Tmax = 0.655 | k = −9→11 |
5452 measured reflections | l = −19→19 |
Refinement top
Refinement on F2 | Secondary atom site location: difference Fourier map |
Least-squares matrix: full | Hydrogen site location: inferred from neighbouring sites |
R[F2 > 2σ(F2)] = 0.034 | H atoms treated by a mixture of independent and constrained refinement |
wR(F2) = 0.088 | w = 1/[σ2(Fo2) + (0.0477P)2] where P = (Fo2 + 2Fc2)/3 |
S = 1.04 | (Δ/σ)max = 0.009 |
3871 reflections | Δρmax = 0.45 e Å−3 |
327 parameters | Δρmin = −0.42 e Å−3 |
4 restraints | Extinction correction: SHELXL97, Fc*=kFc[1+0.001xFc2λ3/sin(2θ)]-1/4 |
Primary atom site location: structure-invariant direct methods | Extinction coefficient: 0.0119 (16) |
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 | |
Cu | 0.78123 (4) | 0.74728 (3) | 0.210863 (17) | 0.03227 (12) | |
Cl | 0.61785 (10) | 0.70256 (7) | 0.07312 (4) | 0.04587 (17) | |
O1 | 0.6570 (2) | 0.61367 (17) | 0.28995 (11) | 0.0405 (4) | |
O2 | 0.9229 (3) | 0.4378 (2) | 0.31183 (12) | 0.0539 (5) | |
O3 | 1.0454 (3) | 0.6177 (2) | 0.20226 (14) | 0.0472 (5) | |
O4 | 0.2239 (3) | 0.5500 (2) | 0.05264 (14) | 0.0566 (5) | |
N1 | 0.9123 (3) | 0.91331 (19) | 0.15965 (11) | 0.0321 (4) | |
N2 | 0.5592 (3) | 0.90732 (19) | 0.24506 (11) | 0.0308 (4) | |
N3 | 0.1193 (6) | 0.1367 (4) | 0.5859 (2) | 0.1113 (14) | |
C1 | 1.0918 (4) | 0.9128 (3) | 0.11687 (15) | 0.0398 (5) | |
C2 | 1.1513 (4) | 1.0370 (3) | 0.07990 (16) | 0.0440 (6) | |
C3 | 1.0254 (4) | 1.1656 (3) | 0.08750 (16) | 0.0450 (6) | |
C4 | 0.8364 (4) | 1.1716 (3) | 0.13311 (14) | 0.0377 (5) | |
C5 | 0.6931 (5) | 1.2997 (3) | 0.14641 (16) | 0.0445 (6) | |
C6 | 0.5147 (5) | 1.2968 (3) | 0.19150 (16) | 0.0438 (6) | |
C7 | 0.4602 (4) | 1.1653 (2) | 0.22806 (14) | 0.0343 (5) | |
C8 | 0.2792 (4) | 1.1538 (3) | 0.27636 (15) | 0.0401 (6) | |
C9 | 0.2425 (4) | 1.0226 (3) | 0.30711 (16) | 0.0419 (6) | |
C10 | 0.3846 (4) | 0.9007 (3) | 0.28963 (15) | 0.0383 (5) | |
C11 | 0.5972 (3) | 1.0382 (2) | 0.21531 (13) | 0.0303 (5) | |
C12 | 0.7880 (3) | 1.0408 (2) | 0.16787 (13) | 0.0311 (5) | |
C13 | 0.7394 (4) | 0.4950 (2) | 0.32306 (14) | 0.0351 (5) | |
C14 | 0.6034 (4) | 0.4164 (2) | 0.38111 (14) | 0.0346 (5) | |
C15 | 0.6862 (4) | 0.2881 (3) | 0.42268 (16) | 0.0441 (6) | |
C16 | 0.5642 (5) | 0.2156 (3) | 0.47681 (17) | 0.0524 (7) | |
C17 | 0.3569 (4) | 0.2698 (3) | 0.48847 (15) | 0.0465 (6) | |
C18 | 0.2721 (4) | 0.3962 (3) | 0.44667 (16) | 0.0456 (6) | |
C19 | 0.3958 (4) | 0.4695 (3) | 0.39329 (15) | 0.0397 (5) | |
C20 | 0.2247 (5) | 0.1951 (4) | 0.5436 (2) | 0.0666 (9) | |
H1 | 1.175 (4) | 0.828 (2) | 0.1113 (14) | 0.026 (6)* | |
H2 | 1.278 (5) | 1.021 (3) | 0.0517 (17) | 0.057 (8)* | |
H3 | 1.067 (4) | 1.246 (3) | 0.0637 (15) | 0.043 (7)* | |
H4 | 0.734 (4) | 1.378 (2) | 0.1275 (16) | 0.047 (7)* | |
H5 | 0.424 (4) | 1.379 (3) | 0.2000 (16) | 0.044 (7)* | |
H6 | 0.191 (4) | 1.235 (3) | 0.2890 (15) | 0.045 (7)* | |
H7 | 0.123 (4) | 1.009 (3) | 0.3403 (16) | 0.048 (7)* | |
H8 | 0.353 (4) | 0.813 (3) | 0.3082 (15) | 0.038 (7)* | |
H9 | 0.825 (3) | 0.260 (3) | 0.4174 (16) | 0.046 (7)* | |
H10 | 0.620 (5) | 0.135 (3) | 0.5070 (19) | 0.070 (9)* | |
H11 | 0.133 (4) | 0.433 (3) | 0.4534 (16) | 0.043 (7)* | |
H12 | 0.337 (4) | 0.551 (3) | 0.3622 (16) | 0.047 (7)* | |
H13 | 1.080 (5) | 0.594 (3) | 0.152 (2) | 0.071 (11)* | |
H14 | 1.030 (6) | 0.550 (4) | 0.236 (2) | 0.085 (12)* | |
H15 | 0.337 (3) | 0.582 (3) | 0.0570 (19) | 0.060 (9)* | |
H16 | 0.254 (5) | 0.479 (2) | 0.0234 (17) | 0.058 (9)* | |
Atomic displacement parameters (Å2) top | U11 | U22 | U33 | U12 | U13 | U23 |
Cu | 0.02873 (17) | 0.02632 (17) | 0.03958 (18) | 0.00012 (11) | 0.00631 (11) | 0.00193 (11) |
Cl | 0.0445 (3) | 0.0481 (4) | 0.0471 (3) | −0.0121 (3) | 0.0032 (3) | −0.0115 (3) |
O1 | 0.0371 (9) | 0.0296 (8) | 0.0502 (9) | 0.0029 (7) | 0.0093 (7) | 0.0105 (7) |
O2 | 0.0355 (10) | 0.0519 (11) | 0.0660 (12) | 0.0106 (8) | 0.0065 (8) | 0.0229 (9) |
O3 | 0.0384 (10) | 0.0432 (11) | 0.0534 (12) | 0.0083 (8) | 0.0131 (9) | 0.0094 (9) |
O4 | 0.0524 (13) | 0.0554 (13) | 0.0612 (12) | −0.0078 (10) | 0.0182 (10) | −0.0119 (10) |
N1 | 0.0291 (10) | 0.0320 (10) | 0.0350 (10) | −0.0048 (8) | 0.0011 (8) | −0.0011 (8) |
N2 | 0.0294 (9) | 0.0273 (9) | 0.0342 (9) | −0.0013 (7) | 0.0027 (7) | 0.0008 (7) |
N3 | 0.102 (3) | 0.144 (3) | 0.099 (2) | −0.071 (3) | 0.000 (2) | 0.050 (2) |
C1 | 0.0325 (13) | 0.0461 (15) | 0.0410 (13) | −0.0068 (11) | 0.0022 (10) | −0.0051 (11) |
C2 | 0.0386 (14) | 0.0582 (17) | 0.0382 (13) | −0.0192 (12) | 0.0067 (11) | −0.0004 (12) |
C3 | 0.0541 (16) | 0.0463 (15) | 0.0390 (13) | −0.0239 (13) | −0.0027 (11) | 0.0052 (12) |
C4 | 0.0470 (14) | 0.0372 (13) | 0.0312 (11) | −0.0140 (11) | −0.0054 (10) | 0.0030 (10) |
C5 | 0.0640 (17) | 0.0284 (13) | 0.0417 (13) | −0.0105 (12) | −0.0067 (12) | 0.0070 (10) |
C6 | 0.0598 (17) | 0.0276 (13) | 0.0414 (13) | 0.0027 (12) | −0.0083 (12) | −0.0002 (10) |
C7 | 0.0400 (13) | 0.0306 (12) | 0.0311 (11) | 0.0003 (9) | −0.0064 (9) | −0.0032 (9) |
C8 | 0.0396 (13) | 0.0360 (13) | 0.0407 (13) | 0.0084 (11) | −0.0022 (10) | −0.0070 (11) |
C9 | 0.0335 (13) | 0.0471 (15) | 0.0427 (13) | 0.0000 (11) | 0.0071 (11) | −0.0047 (11) |
C10 | 0.0374 (13) | 0.0337 (13) | 0.0426 (13) | −0.0039 (10) | 0.0046 (10) | 0.0018 (10) |
C11 | 0.0318 (11) | 0.0288 (11) | 0.0300 (10) | −0.0032 (9) | −0.0049 (9) | −0.0001 (9) |
C12 | 0.0338 (12) | 0.0315 (12) | 0.0288 (10) | −0.0076 (9) | −0.0038 (9) | −0.0001 (9) |
C13 | 0.0374 (13) | 0.0328 (12) | 0.0336 (11) | −0.0018 (10) | 0.0010 (10) | 0.0015 (9) |
C14 | 0.0401 (13) | 0.0309 (12) | 0.0324 (11) | −0.0043 (10) | −0.0016 (10) | −0.0001 (9) |
C15 | 0.0435 (15) | 0.0388 (14) | 0.0477 (14) | −0.0014 (11) | −0.0008 (12) | 0.0058 (11) |
C16 | 0.069 (2) | 0.0397 (15) | 0.0482 (15) | −0.0111 (14) | −0.0073 (14) | 0.0139 (12) |
C17 | 0.0571 (17) | 0.0500 (15) | 0.0363 (13) | −0.0227 (13) | 0.0007 (12) | 0.0030 (11) |
C18 | 0.0421 (15) | 0.0504 (16) | 0.0449 (14) | −0.0098 (12) | 0.0042 (12) | −0.0026 (12) |
C19 | 0.0431 (14) | 0.0360 (13) | 0.0386 (13) | −0.0036 (11) | 0.0015 (10) | 0.0016 (10) |
C20 | 0.075 (2) | 0.073 (2) | 0.0570 (18) | −0.0319 (18) | −0.0044 (16) | 0.0127 (16) |
Geometric parameters (Å, º) top
Cu—O3 | 1.9609 (17) | C5—C6 | 1.348 (4) |
Cu—O1 | 1.9751 (15) | C5—H4 | 0.866 (16) |
Cu—N2 | 2.0046 (18) | C6—C7 | 1.434 (3) |
Cu—N1 | 2.0242 (18) | C6—H5 | 0.91 (3) |
Cu—Cl | 2.5238 (7) | C7—C11 | 1.399 (3) |
O1—C13 | 1.263 (3) | C7—C8 | 1.401 (3) |
O2—C13 | 1.248 (3) | C8—C9 | 1.362 (4) |
O3—H13 | 0.84 (3) | C8—H6 | 0.91 (2) |
O3—H14 | 0.82 (4) | C9—C10 | 1.394 (3) |
O4—H15 | 0.849 (18) | C9—H7 | 0.95 (3) |
O4—H16 | 0.823 (18) | C10—H8 | 0.92 (2) |
N1—C1 | 1.332 (3) | C11—C12 | 1.435 (3) |
N1—C12 | 1.353 (3) | C13—C14 | 1.504 (3) |
N2—C10 | 1.327 (3) | C14—C19 | 1.383 (3) |
N2—C11 | 1.357 (3) | C14—C15 | 1.392 (3) |
N3—C20 | 1.129 (4) | C15—C16 | 1.378 (4) |
C1—C2 | 1.389 (4) | C15—H9 | 0.905 (17) |
C1—H1 | 0.90 (2) | C16—C17 | 1.383 (4) |
C2—C3 | 1.364 (4) | C16—H10 | 0.91 (3) |
C2—H2 | 0.92 (3) | C17—C18 | 1.383 (4) |
C3—C4 | 1.403 (4) | C17—C20 | 1.442 (4) |
C3—H3 | 0.91 (2) | C18—C19 | 1.383 (3) |
C4—C12 | 1.404 (3) | C18—H11 | 0.93 (3) |
C4—C5 | 1.429 (4) | C19—H12 | 0.93 (3) |
| | | |
O3—Cu—O1 | 92.94 (7) | C11—C7—C6 | 118.2 (2) |
O3—Cu—N2 | 162.57 (8) | C8—C7—C6 | 124.9 (2) |
O1—Cu—N2 | 89.82 (7) | C9—C8—C7 | 119.7 (2) |
O3—Cu—N1 | 91.20 (8) | C9—C8—H6 | 121.0 (16) |
O1—Cu—N1 | 164.20 (7) | C7—C8—H6 | 119.2 (16) |
N2—Cu—N1 | 81.84 (7) | C8—C9—C10 | 119.8 (2) |
O3—Cu—Cl | 101.12 (7) | C8—C9—H7 | 122.9 (16) |
O1—Cu—Cl | 100.41 (6) | C10—C9—H7 | 117.3 (16) |
N2—Cu—Cl | 95.28 (5) | N2—C10—C9 | 122.3 (2) |
N1—Cu—Cl | 93.73 (5) | N2—C10—H8 | 119.5 (15) |
C13—O1—Cu | 129.04 (15) | C9—C10—H8 | 118.2 (15) |
Cu—O3—H13 | 114 (2) | N2—C11—C7 | 123.3 (2) |
Cu—O3—H14 | 104 (3) | N2—C11—C12 | 116.27 (19) |
H13—O3—H14 | 115 (3) | C7—C11—C12 | 120.4 (2) |
H15—O4—H16 | 104 (3) | N1—C12—C4 | 123.8 (2) |
C1—N1—C12 | 117.8 (2) | N1—C12—C11 | 116.48 (19) |
C1—N1—Cu | 129.82 (17) | C4—C12—C11 | 119.8 (2) |
C12—N1—Cu | 112.30 (14) | O2—C13—O1 | 125.8 (2) |
C10—N2—C11 | 118.00 (19) | O2—C13—C14 | 117.5 (2) |
C10—N2—Cu | 129.05 (16) | O1—C13—C14 | 116.7 (2) |
C11—N2—Cu | 112.92 (14) | C19—C14—C15 | 119.4 (2) |
N1—C1—C2 | 122.3 (2) | C19—C14—C13 | 120.8 (2) |
N1—C1—H1 | 117.8 (14) | C15—C14—C13 | 119.8 (2) |
C2—C1—H1 | 119.9 (14) | C16—C15—C14 | 120.5 (3) |
C3—C2—C1 | 120.1 (2) | C16—C15—H9 | 121.6 (16) |
C3—C2—H2 | 126.9 (18) | C14—C15—H9 | 117.6 (16) |
C1—C2—H2 | 113.1 (18) | C15—C16—C17 | 119.5 (2) |
C2—C3—C4 | 119.7 (2) | C15—C16—H10 | 121 (2) |
C2—C3—H3 | 119.0 (17) | C17—C16—H10 | 120 (2) |
C4—C3—H3 | 121.3 (17) | C16—C17—C18 | 120.5 (2) |
C3—C4—C12 | 116.5 (2) | C16—C17—C20 | 120.8 (3) |
C3—C4—C5 | 124.8 (2) | C18—C17—C20 | 118.7 (3) |
C12—C4—C5 | 118.7 (2) | C17—C18—C19 | 119.7 (3) |
C6—C5—C4 | 121.3 (2) | C17—C18—H11 | 121.2 (16) |
C6—C5—H4 | 123.2 (19) | C19—C18—H11 | 119.1 (16) |
C4—C5—H4 | 115.3 (19) | C18—C19—C14 | 120.3 (2) |
C5—C6—C7 | 121.6 (2) | C18—C19—H12 | 119.6 (16) |
C5—C6—H5 | 121.0 (17) | C14—C19—H12 | 119.9 (16) |
C7—C6—H5 | 117.4 (17) | N3—C20—C17 | 179.1 (4) |
C11—C7—C8 | 116.9 (2) | | |
| | | |
O3—Cu—O1—C13 | 4.2 (2) | C10—N2—C11—C7 | −1.1 (3) |
N2—Cu—O1—C13 | −158.6 (2) | Cu—N2—C11—C7 | 177.35 (17) |
N1—Cu—O1—C13 | −100.8 (3) | C10—N2—C11—C12 | 179.67 (19) |
Cl—Cu—O1—C13 | 106.1 (2) | Cu—N2—C11—C12 | −1.9 (2) |
O3—Cu—N1—C1 | 15.9 (2) | C8—C7—C11—N2 | 1.9 (3) |
O1—Cu—N1—C1 | 121.1 (3) | C6—C7—C11—N2 | −178.3 (2) |
N2—Cu—N1—C1 | 179.8 (2) | C8—C7—C11—C12 | −178.9 (2) |
Cl—Cu—N1—C1 | −85.3 (2) | C6—C7—C11—C12 | 0.9 (3) |
O3—Cu—N1—C12 | −168.02 (16) | C1—N1—C12—C4 | 0.8 (3) |
O1—Cu—N1—C12 | −62.8 (3) | Cu—N1—C12—C4 | −175.83 (17) |
N2—Cu—N1—C12 | −4.05 (14) | C1—N1—C12—C11 | −179.13 (19) |
Cl—Cu—N1—C12 | 90.76 (14) | Cu—N1—C12—C11 | 4.3 (2) |
O3—Cu—N2—C10 | −111.3 (3) | C3—C4—C12—N1 | 0.2 (3) |
O1—Cu—N2—C10 | −12.0 (2) | C5—C4—C12—N1 | −179.7 (2) |
N1—Cu—N2—C10 | −178.5 (2) | C3—C4—C12—C11 | −179.9 (2) |
Cl—Cu—N2—C10 | 88.4 (2) | C5—C4—C12—C11 | 0.3 (3) |
O3—Cu—N2—C11 | 70.5 (3) | N2—C11—C12—N1 | −1.7 (3) |
O1—Cu—N2—C11 | 169.74 (15) | C7—C11—C12—N1 | 179.12 (19) |
N1—Cu—N2—C11 | 3.19 (15) | N2—C11—C12—C4 | 178.42 (19) |
Cl—Cu—N2—C11 | −89.82 (14) | C7—C11—C12—C4 | −0.8 (3) |
C12—N1—C1—C2 | −1.2 (3) | Cu—O1—C13—O2 | 0.3 (4) |
Cu—N1—C1—C2 | 174.70 (18) | Cu—O1—C13—C14 | −179.67 (15) |
N1—C1—C2—C3 | 0.7 (4) | O2—C13—C14—C19 | −176.7 (2) |
C1—C2—C3—C4 | 0.3 (4) | O1—C13—C14—C19 | 3.3 (3) |
C2—C3—C4—C12 | −0.7 (4) | O2—C13—C14—C15 | 2.7 (3) |
C2—C3—C4—C5 | 179.1 (2) | O1—C13—C14—C15 | −177.2 (2) |
C3—C4—C5—C6 | −179.6 (2) | C19—C14—C15—C16 | −1.2 (4) |
C12—C4—C5—C6 | 0.2 (4) | C13—C14—C15—C16 | 179.3 (2) |
C4—C5—C6—C7 | −0.1 (4) | C14—C15—C16—C17 | 1.2 (4) |
C5—C6—C7—C11 | −0.5 (4) | C15—C16—C17—C18 | −0.4 (4) |
C5—C6—C7—C8 | 179.3 (2) | C15—C16—C17—C20 | 179.0 (3) |
C11—C7—C8—C9 | −1.0 (3) | C16—C17—C18—C19 | −0.5 (4) |
C6—C7—C8—C9 | 179.2 (2) | C20—C17—C18—C19 | −179.8 (3) |
C7—C8—C9—C10 | −0.6 (4) | C17—C18—C19—C14 | 0.5 (4) |
C11—N2—C10—C9 | −0.6 (4) | C15—C14—C19—C18 | 0.4 (4) |
Cu—N2—C10—C9 | −178.82 (18) | C13—C14—C19—C18 | 179.9 (2) |
C8—C9—C10—N2 | 1.5 (4) | | |
Hydrogen-bond geometry (Å, º) top
D—H···A | D—H | H···A | D···A | D—H···A |
O3—H13···O4i | 0.84 (3) | 1.82 (4) | 2.645 (3) | 164 (3) |
O3—H14···O2 | 0.82 (4) | 1.76 (4) | 2.559 (3) | 163 (4) |
O4—H15···Cl | 0.85 (2) | 2.33 (2) | 3.175 (2) | 171 (3) |
O4—H16···Clii | 0.82 (2) | 2.37 (2) | 3.187 (2) | 170 (3) |
Symmetry codes: (i) x+1, y, z; (ii) −x+1, −y+1, −z. |