metal-organic compounds
The ligands in [Cu(C19H27NPS2)2] adopt an S,S'-chelation mode leading to an S4 donor set which defines a square-planar geometry about the Cu atom, which lies on an inversion centre.
Supporting information
Crystallographic Information File (CIF) https://doi.org/10.1107/S0108270100011586/ta1299sup1.cif | |
Structure factor file (CIF format) https://doi.org/10.1107/S0108270100011586/ta1299Isup2.hkl |
CCDC reference: 153877
Computing details top
Data collection: MSC/AFC Diffractometer Control Software (Molecular Structure Corporation, 1996); cell refinement: MSC/AFC Diffractometer Control Software; data reduction: TEXSAN for Windows (Molecular Structure Corporation, 1997); program(s) used to solve structure: SIR92 (Altomare et al., 1994); program(s) used to refine structure: TEXSAN for Windows; software used to prepare material for publication: TEXSAN for Windows.
(I) top
Crystal data top
[Cu(C19H27NPS2)2] | Z = 1 |
Mr = 792.60 | F(000) = 419 |
Triclinic, P1 | Dx = 1.328 Mg m−3 |
a = 8.430 (1) Å | Mo Kα radiation, λ = 0.71073 Å |
b = 10.305 (3) Å | Cell parameters from 25 reflections |
c = 12.380 (2) Å | θ = 11.1–12.3° |
α = 89.90 (2)° | µ = 0.87 mm−1 |
β = 82.31 (1)° | T = 293 K |
γ = 68.62 (1)° | Prismatic, brown |
V = 991.1 (3) Å3 | 0.40 × 0.20 × 0.10 mm |
Data collection top
AFC7R diffractometer | 3059 reflections with I > 2.00σ(I) |
Radiation source: X-ray tube | Rint = 0.028 |
Graphite monochromator | θmax = 30.0°, θmin = 2.6° |
ω–2θ scans | h = −11→11 |
Absorption correction: ψ scans (North et al., 1968) | k = −14→0 |
Tmin = 0.709, Tmax = 0.917 | l = −17→17 |
6080 measured reflections | 3 standard reflections every 150 reflections |
5779 independent reflections | intensity decay: 0.3% |
Refinement top
Refinement on F | 0 restraints |
Least-squares matrix: full | 0 constraints |
R[F2 > 2σ(F2)] = 0.044 | H-atom parameters not refined |
wR(F2) = 0.031 | Weighting scheme based on measured s.u.'s w = 1/[σ2(Fo) + 0.003|Fo|2] |
S = 1.75 | (Δ/σ)max < 0.001 |
3059 reflections | Δρmax = 0.37 e Å−3 |
214 parameters | Δρmin = −0.35 e Å−3 |
Fractional atomic coordinates and isotropic or equivalent isotropic displacement parameters (Å2) top
x | y | z | Uiso*/Ueq | ||
Cu | 0.0000 | 0.0000 | 0.0000 | 0.0417 (1) | |
S(1) | 0.01127 (9) | −0.0680 (1) | −0.17644 (6) | 0.0702 (3) | |
S(2) | 0.29323 (8) | −0.09424 (8) | 0.00246 (6) | 0.0501 (2) | |
P(1) | 0.38695 (8) | −0.13057 (7) | −0.15628 (6) | 0.0368 (2) | |
N(1) | 0.2918 (2) | −0.2211 (2) | −0.3221 (2) | 0.0405 (6) | |
C(1) | 0.2240 (3) | −0.1472 (3) | −0.2338 (2) | 0.0388 (7) | |
C(2) | 0.4473 (3) | 0.0120 (3) | −0.2109 (2) | 0.0420 (8) | |
C(3) | 0.2950 (3) | 0.1501 (3) | −0.2015 (3) | 0.0554 (9) | |
C(4) | 0.3552 (4) | 0.2690 (3) | −0.2368 (3) | 0.075 (1) | |
C(5) | 0.4533 (4) | 0.2396 (4) | −0.3504 (3) | 0.086 (1) | |
C(6) | 0.6010 (4) | 0.1033 (3) | −0.3623 (3) | 0.073 (1) | |
C(7) | 0.5438 (4) | −0.0174 (3) | −0.3278 (2) | 0.057 (1) | |
C(8) | 0.5741 (3) | −0.2922 (3) | −0.1800 (2) | 0.0388 (7) | |
C(9) | 0.7247 (3) | −0.2841 (3) | −0.1269 (3) | 0.059 (1) | |
C(10) | 0.8809 (4) | −0.4202 (4) | −0.1489 (3) | 0.077 (1) | |
C(11) | 0.8358 (4) | −0.5436 (4) | −0.1096 (3) | 0.079 (1) | |
C(12) | 0.6868 (4) | −0.5521 (3) | −0.1614 (3) | 0.065 (1) | |
C(13) | 0.5305 (3) | −0.4183 (3) | −0.1406 (2) | 0.0517 (9) | |
C(14) | 0.1968 (3) | −0.2554 (3) | −0.3954 (2) | 0.0406 (8) | |
C(15) | 0.0507 (4) | −0.1623 (3) | −0.4305 (2) | 0.060 (1) | |
C(16) | −0.0242 (4) | −0.2061 (4) | −0.5091 (3) | 0.072 (1) | |
C(17) | 0.0413 (4) | −0.3379 (4) | −0.5515 (3) | 0.076 (1) | |
C(18) | 0.1881 (5) | −0.4311 (3) | −0.5185 (3) | 0.075 (1) | |
C(19) | 0.2647 (4) | −0.3892 (3) | −0.4417 (2) | 0.058 (1) | |
H(1) | 0.5249 | 0.0235 | −0.1662 | 0.050* | |
H(2) | 0.2153 | 0.1444 | −0.2470 | 0.066* | |
H(3) | 0.2406 | 0.1684 | −0.1279 | 0.066* | |
H(4) | 0.2577 | 0.3530 | −0.2349 | 0.090* | |
H(5) | 0.4278 | 0.2793 | −0.1877 | 0.090* | |
H(6) | 0.3771 | 0.2383 | −0.4001 | 0.103* | |
H(7) | 0.4960 | 0.3119 | −0.3674 | 0.103* | |
H(8) | 0.6527 | 0.0866 | −0.4366 | 0.087* | |
H(9) | 0.6828 | 0.1076 | −0.3180 | 0.087* | |
H(10) | 0.6421 | −0.1010 | −0.3310 | 0.068* | |
H(11) | 0.4698 | −0.0275 | −0.3760 | 0.068* | |
H(12) | 0.6103 | −0.3063 | −0.2565 | 0.047* | |
H(13) | 0.7551 | −0.2096 | −0.1560 | 0.070* | |
H(14) | 0.6904 | −0.2674 | −0.0503 | 0.070* | |
H(15) | 0.9200 | −0.4337 | −0.2252 | 0.093* | |
H(16) | 0.9699 | −0.4143 | −0.1118 | 0.093* | |
H(17) | 0.9333 | −0.6270 | −0.1282 | 0.095* | |
H(18) | 0.8048 | −0.5334 | −0.0325 | 0.095* | |
H(19) | 0.7213 | −0.5693 | −0.2380 | 0.078* | |
H(20) | 0.6573 | −0.6268 | −0.1319 | 0.078* | |
H(21) | 0.4901 | −0.4049 | −0.0645 | 0.062* | |
H(22) | 0.4430 | −0.4256 | −0.1784 | 0.062* | |
H(23) | 0.0018 | −0.0688 | −0.4010 | 0.072* | |
H(24) | −0.1242 | −0.1415 | −0.5334 | 0.087* | |
H(25) | −0.0134 | −0.3665 | −0.6040 | 0.091* | |
H(26) | 0.2363 | −0.5242 | −0.5488 | 0.090* | |
H(27) | 0.3669 | −0.4538 | −0.4198 | 0.070* |
Atomic displacement parameters (Å2) top
U11 | U22 | U33 | U12 | U13 | U23 | |
Cu | 0.0317 (2) | 0.0561 (4) | 0.0385 (3) | −0.0191 (2) | −0.0000 (2) | −0.0067 (2) |
S(1) | 0.0311 (4) | 0.1278 (8) | 0.0494 (5) | −0.0289 (5) | 0.0014 (3) | −0.0320 (5) |
S(2) | 0.0351 (4) | 0.0711 (6) | 0.0366 (4) | −0.0103 (4) | −0.0057 (3) | −0.0041 (4) |
P(1) | 0.0290 (3) | 0.0423 (4) | 0.0377 (4) | −0.0114 (3) | −0.0057 (3) | −0.0010 (3) |
N(1) | 0.034 (1) | 0.047 (1) | 0.038 (1) | −0.011 (1) | −0.0074 (9) | −0.003 (1) |
C(1) | 0.029 (1) | 0.052 (2) | 0.038 (1) | −0.017 (1) | −0.005 (1) | −0.003 (1) |
C(2) | 0.032 (1) | 0.044 (2) | 0.054 (2) | −0.017 (1) | −0.011 (1) | 0.004 (1) |
C(3) | 0.040 (2) | 0.043 (2) | 0.076 (2) | −0.008 (1) | −0.007 (1) | 0.005 (2) |
C(4) | 0.055 (2) | 0.039 (2) | 0.123 (3) | −0.008 (2) | −0.012 (2) | 0.014 (2) |
C(5) | 0.063 (2) | 0.060 (2) | 0.138 (4) | −0.025 (2) | −0.014 (2) | 0.048 (2) |
C(6) | 0.056 (2) | 0.065 (2) | 0.091 (3) | −0.020 (2) | 0.005 (2) | 0.030 (2) |
C(7) | 0.050 (2) | 0.053 (2) | 0.060 (2) | −0.015 (2) | 0.005 (1) | 0.008 (2) |
C(8) | 0.033 (1) | 0.035 (2) | 0.043 (2) | −0.007 (1) | −0.002 (1) | −0.002 (1) |
C(9) | 0.038 (2) | 0.055 (2) | 0.082 (2) | −0.012 (1) | −0.021 (2) | 0.003 (2) |
C(10) | 0.035 (2) | 0.066 (2) | 0.120 (3) | −0.002 (2) | −0.023 (2) | 0.001 (2) |
C(11) | 0.058 (2) | 0.060 (2) | 0.099 (3) | 0.005 (2) | −0.018 (2) | 0.014 (2) |
C(12) | 0.073 (2) | 0.043 (2) | 0.070 (2) | −0.014 (2) | −0.000 (2) | 0.010 (2) |
C(13) | 0.051 (2) | 0.049 (2) | 0.054 (2) | −0.017 (1) | −0.010 (1) | 0.009 (1) |
C(14) | 0.039 (1) | 0.049 (2) | 0.033 (1) | −0.017 (1) | −0.002 (1) | −0.002 (1) |
C(15) | 0.050 (2) | 0.064 (2) | 0.053 (2) | −0.004 (2) | −0.012 (1) | −0.013 (2) |
C(16) | 0.046 (2) | 0.098 (3) | 0.062 (2) | −0.011 (2) | −0.019 (2) | −0.018 (2) |
C(17) | 0.068 (2) | 0.112 (3) | 0.060 (2) | −0.046 (2) | −0.014 (2) | −0.018 (2) |
C(18) | 0.096 (3) | 0.063 (2) | 0.069 (2) | −0.031 (2) | −0.014 (2) | −0.018 (2) |
C(19) | 0.066 (2) | 0.050 (2) | 0.053 (2) | −0.010 (2) | −0.018 (2) | −0.001 (2) |
Geometric parameters (Å, º) top
Cu—S(1) | 2.274 (1) | C(8)—C(13) | 1.537 (5) |
Cu—S(2) | 2.307 (1) | C(8)—H(12) | 0.95 |
S(1)—C(1) | 1.726 (3) | C(9)—C(10) | 1.528 (5) |
S(2)—P(1) | 1.999 (1) | C(9)—H(13) | 0.95 |
P(1)—C(1) | 1.834 (3) | C(9)—H(14) | 0.95 |
P(1)—C(2) | 1.823 (4) | C(10)—C(11) | 1.516 (6) |
P(1)—C(8) | 1.820 (3) | C(10)—H(15) | 0.95 |
N(1)—C(1) | 1.272 (4) | C(10)—H(16) | 0.95 |
N(1)—C(14) | 1.412 (4) | C(11)—C(12) | 1.515 (5) |
C(2)—C(3) | 1.522 (5) | C(11)—H(17) | 0.95 |
C(2)—C(7) | 1.534 (5) | C(11)—H(18) | 0.95 |
C(2)—H(1) | 0.95 | C(12)—C(13) | 1.513 (5) |
C(3)—C(4) | 1.530 (5) | C(12)—H(19) | 0.95 |
C(3)—H(2) | 0.95 | C(12)—H(20) | 0.95 |
C(3)—H(3) | 0.95 | C(13)—H(21) | 0.95 |
C(4)—C(5) | 1.504 (6) | C(13)—H(22) | 0.95 |
C(4)—H(4) | 0.95 | C(14)—C(15) | 1.381 (4) |
C(4)—H(5) | 0.95 | C(14)—C(19) | 1.376 (5) |
C(5)—C(6) | 1.490 (6) | C(15)—C(16) | 1.387 (5) |
C(5)—H(6) | 0.95 | C(15)—H(23) | 0.95 |
C(5)—H(7) | 0.95 | C(16)—C(17) | 1.342 (6) |
C(6)—C(7) | 1.530 (5) | C(16)—H(24) | 0.95 |
C(6)—H(8) | 0.95 | C(17)—C(18) | 1.374 (6) |
C(6)—H(9) | 0.95 | C(17)—H(25) | 0.95 |
C(7)—H(10) | 0.95 | C(18)—C(19) | 1.370 (5) |
C(7)—H(11) | 0.95 | C(18)—H(26) | 0.95 |
C(8)—C(9) | 1.533 (4) | C(19)—H(27) | 0.95 |
S(1)···C(9)i | 3.834 (4) | C(12)···C(18)vi | 3.949 (6) |
S(2)···C(2)ii | 3.878 (3) | C(12)···C(13)vii | 4.000 (5) |
C(5)···C(19)iii | 3.803 (6) | C(13)···C(13)vii | 3.917 (7) |
C(5)···C(19)iv | 3.958 (6) | C(15)···C(15)viii | 3.629 (9) |
C(6)···C(15)v | 3.763 (5) | C(15)···C(16)viii | 3.800 (6) |
C(6)···C(16)v | 3.819 (6) | C(17)···C(18)ix | 3.614 (6) |
C(6)···C(15)iv | 3.854 (6) | C(17)···C(17)ix | 3.84 (1) |
C(6)···C(14)iv | 3.863 (5) | C(18)···C(18)ix | 3.896 (9) |
C(7)···C(16)v | 3.839 (5) | C(19)···C(19)vi | 3.861 (8) |
C(12)···C(17)vi | 3.887 (6) | ||
S(1)—Cu—S(1) | 180.00 | P(1)—C(8)—C(9) | 111.8 (2) |
S(1)—Cu—S(2) | 95.85 (4) | P(1)—C(8)—C(13) | 111.7 (2) |
S(1)—Cu—S(2)x | 84.15 (4) | P(1)—C(8)—H(12) | 107.6 |
S(1)x—Cu—S(2) | 84.15 (4) | C(9)—C(8)—C(13) | 110.3 (3) |
S(1)x—Cu—S(2)x | 95.85 (4) | C(9)—C(8)—H(12) | 107.5 |
S(2)—Cu—S(2) | 180.00 | C(13)—C(8)—H(12) | 107.6 |
Cu—S(1)—C(1) | 109.0 (1) | C(8)—C(9)—C(10) | 110.9 (3) |
Cu—S(2)—P(1) | 102.47 (5) | C(8)—C(9)—H(13) | 109.2 |
S(2)—P(1)—C(1) | 110.2 (1) | C(8)—C(9)—H(14) | 109.0 |
S(2)—P(1)—C(2) | 111.3 (1) | C(10)—C(9)—H(13) | 109.4 |
S(2)—P(1)—C(8) | 111.1 (1) | C(10)—C(9)—H(14) | 109.1 |
C(1)—P(1)—C(2) | 107.6 (2) | H(13)—C(9)—H(14) | 109.3 |
C(1)—P(1)—C(8) | 107.6 (2) | C(9)—C(10)—C(11) | 111.1 (3) |
C(2)—P(1)—C(8) | 108.8 (2) | C(9)—C(10)—H(15) | 109.0 |
C(1)—N(1)—C(14) | 123.9 (3) | C(9)—C(10)—H(16) | 109.2 |
S(1)—C(1)—P(1) | 117.1 (2) | C(11)—C(10)—H(15) | 109.1 |
S(1)—C(1)—N(1) | 131.0 (3) | C(11)—C(10)—H(16) | 109.2 |
P(1)—C(1)—N(1) | 111.9 (2) | H(15)—C(10)—H(16) | 109.3 |
P(1)—C(2)—C(3) | 112.4 (2) | C(10)—C(11)—C(12) | 111.0 (4) |
P(1)—C(2)—C(7) | 114.3 (3) | C(10)—C(11)—H(17) | 109.1 |
P(1)—C(2)—H(1) | 106.2 | C(10)—C(11)—H(18) | 109.0 |
C(3)—C(2)—C(7) | 110.6 (3) | C(12)—C(11)—H(17) | 109.1 |
C(3)—C(2)—H(1) | 106.3 | C(12)—C(11)—H(18) | 109.2 |
C(7)—C(2)—H(1) | 106.3 | H(17)—C(11)—H(18) | 109.4 |
C(2)—C(3)—C(4) | 110.5 (3) | C(11)—C(12)—C(13) | 111.7 (3) |
C(2)—C(3)—H(2) | 109.2 | C(11)—C(12)—H(19) | 109.1 |
C(2)—C(3)—H(3) | 109.1 | C(11)—C(12)—H(20) | 108.9 |
C(4)—C(3)—H(2) | 109.3 | C(13)—C(12)—H(19) | 108.8 |
C(4)—C(3)—H(3) | 109.2 | C(13)—C(12)—H(20) | 108.7 |
H(2)—C(3)—H(3) | 109.6 | H(19)—C(12)—H(20) | 109.6 |
C(3)—C(4)—C(5) | 111.2 (4) | C(8)—C(13)—C(12) | 111.1 (3) |
C(3)—C(4)—H(4) | 109.1 | C(8)—C(13)—H(21) | 109.0 |
C(3)—C(4)—H(5) | 109.2 | C(8)—C(13)—H(22) | 109.1 |
C(5)—C(4)—H(4) | 108.9 | C(12)—C(13)—H(21) | 109.1 |
C(5)—C(4)—H(5) | 109.0 | C(12)—C(13)—H(22) | 109.1 |
H(4)—C(4)—H(5) | 109.5 | H(21)—C(13)—H(22) | 109.4 |
C(4)—C(5)—C(6) | 112.4 (4) | N(1)—C(14)—C(15) | 124.9 (3) |
C(4)—C(5)—H(6) | 108.7 | N(1)—C(14)—C(19) | 116.7 (3) |
C(4)—C(5)—H(7) | 108.7 | C(15)—C(14)—C(19) | 118.2 (3) |
C(6)—C(5)—H(6) | 108.8 | C(14)—C(15)—C(16) | 119.6 (4) |
C(6)—C(5)—H(7) | 108.9 | C(14)—C(15)—H(23) | 120.3 |
H(6)—C(5)—H(7) | 109.5 | C(16)—C(15)—H(23) | 120.1 |
C(5)—C(6)—C(7) | 111.8 (3) | C(15)—C(16)—C(17) | 121.5 (4) |
C(5)—C(6)—H(8) | 108.9 | C(15)—C(16)—H(24) | 119.3 |
C(5)—C(6)—H(9) | 108.8 | C(17)—C(16)—H(24) | 119.2 |
C(7)—C(6)—H(8) | 109.0 | C(16)—C(17)—C(18) | 119.6 (4) |
C(7)—C(6)—H(9) | 108.9 | C(16)—C(17)—H(25) | 120.2 |
H(8)—C(6)—H(9) | 109.4 | C(18)—C(17)—H(25) | 120.2 |
C(2)—C(7)—C(6) | 110.1 (3) | C(17)—C(18)—C(19) | 119.7 (4) |
C(2)—C(7)—H(10) | 109.3 | C(17)—C(18)—H(26) | 120.0 |
C(2)—C(7)—H(11) | 109.4 | C(19)—C(18)—H(26) | 120.3 |
C(6)—C(7)—H(10) | 109.3 | C(14)—C(19)—C(18) | 121.4 (4) |
C(6)—C(7)—H(11) | 109.3 | C(14)—C(19)—H(27) | 119.3 |
H(10)—C(7)—H(11) | 109.4 | C(18)—C(19)—H(27) | 119.2 |
Cu—S(1)—C(1)—P(1) | −11.3 (2) | C(1)—P(1)—C(2)—C(7) | −67.5 (3) |
Cu—S(1)—C(1)—N(1) | 166.4 (3) | C(1)—P(1)—C(8)—C(9) | 174.8 (2) |
Cu—S(2)—P(1)—C(1) | −23.2 (1) | C(1)—P(1)—C(8)—C(13) | −61.0 (3) |
Cu—S(2)—P(1)—C(2) | 96.0 (1) | C(1)—N(1)—C(14)—C(15) | 45.8 (6) |
Cu—S(2)—P(1)—C(8) | −142.5 (1) | C(1)—N(1)—C(14)—C(19) | −139.9 (4) |
S(1)—Cu—S(1)—C(1) | 142.5 (1) | C(2)—P(1)—C(8)—C(9) | 58.5 (3) |
S(1)—Cu—S(2)—P(1) | 15.15 (6) | C(2)—P(1)—C(8)—C(13) | −177.4 (2) |
S(1)—C(1)—P(1)—S(2) | 23.8 (2) | C(2)—C(3)—C(4)—C(5) | 55.8 (5) |
S(1)—C(1)—P(1)—C(2) | −97.7 (2) | C(2)—C(7)—C(6)—C(5) | −55.3 (5) |
S(1)—C(1)—P(1)—C(8) | 145.2 (2) | C(3)—C(2)—P(1)—C(8) | 176.1 (3) |
S(1)—C(1)—N(1)—C(14) | −0.3 (6) | C(3)—C(2)—C(7)—C(6) | 56.4 (4) |
S(2)—Cu—S(1)—C(1) | −3.7 (1) | C(3)—C(4)—C(5)—C(6) | −55.1 (5) |
S(2)—Cu—S(2)—P(1) | −176.3 (1) | C(4)—C(3)—C(2)—C(7) | −57.0 (4) |
S(2)—P(1)—C(1)—N(1) | −154.3 (2) | C(4)—C(5)—C(6)—C(7) | 55.1 (5) |
S(2)—P(1)—C(2)—C(3) | −61.0 (3) | C(7)—C(2)—P(1)—C(8) | 48.9 (3) |
S(2)—P(1)—C(2)—C(7) | 171.7 (2) | C(8)—C(9)—C(10)—C(11) | −56.5 (5) |
S(2)—P(1)—C(8)—C(9) | −64.5 (3) | C(8)—C(13)—C(12)—C(11) | 55.8 (5) |
S(2)—P(1)—C(8)—C(13) | 59.7 (3) | C(9)—C(8)—C(13)—C(12) | −55.4 (4) |
P(1)—C(1)—N(1)—C(14) | 177.5 (3) | C(9)—C(10)—C(11)—C(12) | 56.2 (5) |
P(1)—C(2)—C(3)—C(4) | 173.8 (3) | C(10)—C(9)—C(8)—C(13) | 55.7 (4) |
P(1)—C(2)—C(7)—C(6) | −175.4 (3) | C(10)—C(11)—C(12)—C(13) | −56.2 (5) |
P(1)—C(8)—C(9)—C(10) | −179.4 (3) | C(14)—C(15)—C(16)—C(17) | 0.5 (7) |
P(1)—C(8)—C(13)—C(12) | 179.6 (3) | C(14)—C(19)—C(18)—C(17) | 0.7 (7) |
N(1)—C(1)—P(1)—C(2) | 84.2 (3) | C(15)—C(14)—C(19)—C(18) | −1.7 (7) |
N(1)—C(1)—P(1)—C(8) | −33.0 (3) | C(15)—C(16)—C(17)—C(18) | −1.5 (8) |
N(1)—C(14)—C(15)—C(16) | 175.2 (4) | C(16)—C(15)—C(14)—C(19) | 1.1 (6) |
N(1)—C(14)—C(19)—C(18) | −176.3 (4) | C(16)—C(17)—C(18)—C(19) | 0.8 (8) |
C(1)—P(1)—C(2)—C(3) | 59.8 (3) |
Symmetry codes: (i) x−1, y, z; (ii) −x+1, −y, −z; (iii) x, y+1, z; (iv) −x+1, −y, −z−1; (v) x+1, y, z; (vi) −x+1, −y−1, −z−1; (vii) −x+1, −y−1, −z; (viii) −x, −y, −z−1; (ix) −x, −y−1, −z−1; (x) −x, −y, −z. |