catena-Poly[[(trifluoro­acetato-κO)silver(I)]-μ-1,2-bis­(diphenyl­phosphino)ethane-κ²P:P′]

In polymeric [Ag(C₂F₃O₂)(C₂₆H₂₄P₂)]_n, the carboxyl­ate is monodentate to silver, and the two diphosphine ligands that occupy different positions of site symmetry link the Ag(C₂O₂F₃) units into a chain. The Ag atom shows trigonal-planar coordination.

Key indicators

• Single-crystal X-ray study
• T = 295 K
• Mean [sigma](C-C) = 0.007 Å
• R factor = 0.046
• wR factor = 0.147
• Data-to-parameter ratio = 17.3

checkCIF/PLATON results

No syntax errors found



Alert level A
PLAT241_ALERT_2_A Check High      Ueq as Compared to Neighbors for         O1

Author Response: There is some disorder in the trifluoroacetate group but it could not be resolved.

PLAT242_ALERT_2_A Check Low       Ueq as Compared to Neighbors for         C1

Author Response: There is some disorder in the trifluoroacetate group but it could not be resolved.

Alert level C
PLAT029_ALERT_3_C _diffrn_measured_fraction_theta_full Low .......       0.97
PLAT042_ALERT_1_C Calc. and Rep. MoietyFormula Strings Differ ....          ?
PLAT094_ALERT_2_C Ratio of Maximum / Minimum Residual Density ....       2.19
PLAT220_ALERT_2_C Large Non-Solvent    C     Ueq(max)/Ueq(min) ...       2.72 Ratio
PLAT242_ALERT_2_C Check Low       Ueq as Compared to Neighbors for         C2

Author Response: There is some disorder in the trifluoroacetate group but it could not be resolved.

   2 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
   5 ALERT type 2 Indicator that the structure model may be wrong or deficient
   1 ALERT type 3 Indicator that the structure quality may be low
   0 ALERT type 4 Improvement, methodology, query or suggestion

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Computing details

Data collection: SMART (Bruker, 2000); cell refinement: SAINT (Bruker, 2000); data reduction: SAINT; program(s) used to solve structure: SHELXS97 (Sheldrick, 1997); program(s) used to refine structure: SHELXL97 (Sheldrick, 1997); molecular graphics: ORTEPII (Johnson, 1976); software used to prepare material for publication: SHELXL97.

Poly-{catena-[µ-1,2-bis(diphenylphosphinyl)ethane-κ²P:P'](trifluoroacetato- κO)silver(I)}

Crystal data

[Ag(C2O2F3)(C26H24P2)]	Z = 2
Mr = 619.28	F(000) = 624
Triclinic, P1	Dx = 1.537 Mg m^−3
Hall symbol: -P 1	Mo Kα radiation, λ = 0.71073 Å
a = 10.105 (1) Å	Cell parameters from 870 reflections
b = 11.095 (2) Å	θ = 2.5–26.8°
c = 12.677 (2) Å	µ = 0.92 mm^−1
α = 84.697 (2)°	T = 295 K
β = 79.043 (2)°	Plate, colorless
γ = 73.712 (2)°	0.48 × 0.42 × 0.12 mm
V = 1338.1 (3) Å^3

Data collection

Bruker SMART area-detector diffractometer	5624 independent reflections
Radiation source: fine-focus sealed tube	4418 reflections with I > 2σ(I)
Graphite monochromator	Rint = 0.021
φ and ω scans	θmax = 27.0°, θmin = 1.6°
Absorption correction: multi-scan (SADABS; Sheldrick, 1996)	h = −11→12
Tmin = 0.667, Tmax = 0.898	k = −14→14
9445 measured reflections	l = −13→16

Refinement

Refinement on F^2	Primary atom site location: structure-invariant direct methods
Least-squares matrix: full	Secondary atom site location: difference Fourier map
R[F^2 > 2σ(F^2)] = 0.046	Hydrogen site location: inferred from neighbouring sites
wR(F^2) = 0.147	H-atom parameters constrained
S = 1.01	w = 1/[σ^2(Fo^2) + (0.0953P)^2 + 0.9973P] where P = (Fo^2 + 2Fc^2)/3
5624 reflections	(Δ/σ)max = 0.001
325 parameters	Δρmax = 1.64 e Å^−3
63 restraints	Δρmin = −0.75 e Å^−3

Fractional atomic coordinates and isotropic or equivalent isotropic displacement parameters (Ų)

	x	y	z	Uiso*/Ueq
Ag1	0.21950 (4)	0.45415 (3)	0.22129 (2)	0.04886 (15)
P1	0.34817 (10)	0.38525 (8)	0.04594 (7)	0.0323 (2)
P2	0.06581 (10)	0.37228 (9)	0.36311 (8)	0.0350 (2)
F1	0.2104 (7)	0.8813 (5)	0.3130 (5)	0.181 (3)
F2	0.4231 (5)	0.8039 (5)	0.3120 (4)	0.1335 (19)
F3	0.2782 (5)	0.7814 (4)	0.4492 (3)	0.1177 (16)
O1	0.2180 (6)	0.6644 (4)	0.2507 (5)	0.1054 (17)
O2	0.3824 (8)	0.5613 (7)	0.3244 (7)	0.149 (3)
C1	0.3002 (6)	0.6552 (5)	0.3055 (4)	0.0604 (13)
C2	0.3024 (5)	0.7819 (5)	0.3448 (3)	0.094 (2)
C3	0.4781 (4)	0.2344 (3)	0.0523 (3)	0.0392 (9)
C4	0.4525 (5)	0.1499 (4)	0.1365 (4)	0.0595 (13)
H4	0.3728	0.1721	0.1888	0.071*
C5	0.5467 (6)	0.0323 (4)	0.1418 (5)	0.079 (2)
H5	0.5302	−0.0244	0.1982	0.095*
C6	0.6647 (7)	−0.0011 (5)	0.0639 (5)	0.083 (2)
H6	0.7270	−0.0805	0.0676	0.100*
C7	0.6903 (6)	0.0829 (4)	−0.0191 (5)	0.0765 (17)
H7	0.7703	0.0608	−0.0712	0.092*
C8	0.5969 (5)	0.2002 (4)	−0.0251 (4)	0.0553 (11)
H8	0.6141	0.2566	−0.0816	0.066*
C9	0.2412 (4)	0.3594 (3)	−0.0454 (3)	0.0373 (8)
C10	0.2912 (5)	0.3437 (5)	−0.1541 (3)	0.0537 (11)
H10	0.3799	0.3525	−0.1830	0.064*
C11	0.2117 (5)	0.3152 (5)	−0.2203 (4)	0.0664 (14)
H11	0.2468	0.3048	−0.2932	0.080*
C12	0.0799 (5)	0.3021 (5)	−0.1784 (4)	0.0700 (16)
H12	0.0263	0.2816	−0.2225	0.084*
C13	0.0283 (5)	0.3197 (5)	−0.0708 (4)	0.0703 (15)
H13	−0.0606	0.3111	−0.0422	0.084*
C14	0.1078 (4)	0.3501 (4)	−0.0046 (4)	0.0532 (11)
H14	0.0709	0.3642	0.0675	0.064*
C15	0.4460 (3)	0.4894 (3)	−0.0309 (3)	0.0349 (8)
H15a	0.4937	0.4530	−0.0992	0.042*
H15b	0.3816	0.5696	−0.0457	0.042*
C16	−0.0550 (4)	0.3099 (3)	0.3111 (3)	0.0398 (9)
C17	−0.1967 (4)	0.3684 (5)	0.3249 (4)	0.0562 (11)
H17	−0.2332	0.4393	0.3660	0.067*
C18	−0.2851 (6)	0.3220 (5)	0.2780 (5)	0.0742 (16)
H18	−0.3806	0.3612	0.2883	0.089*
C19	−0.2307 (6)	0.2177 (5)	0.2160 (5)	0.0782 (18)
H19	−0.2894	0.1872	0.1837	0.094*
C20	−0.0890 (6)	0.1587 (6)	0.2018 (5)	0.0785 (17)
H20	−0.0522	0.0886	0.1599	0.094*
C21	−0.0018 (5)	0.2042 (4)	0.2503 (4)	0.0619 (13)
H21	0.0932	0.1633	0.2419	0.074*
C22	0.1582 (4)	0.2431 (4)	0.4422 (3)	0.0429 (9)
C23	0.0910 (6)	0.1589 (5)	0.5009 (4)	0.0676 (14)
H23	−0.0011	0.1647	0.4953	0.081*
C24	0.1595 (7)	0.0665 (5)	0.5676 (5)	0.090 (2)
H24	0.1136	0.0105	0.6067	0.108*
C25	0.2962 (7)	0.0574 (6)	0.5761 (6)	0.095 (2)
H25	0.3428	−0.0049	0.6206	0.114*
C26	0.3634 (7)	0.1411 (6)	0.5181 (5)	0.091 (2)
H26	0.4553	0.1353	0.5240	0.109*
C27	0.2948 (4)	0.2340 (5)	0.4509 (4)	0.0611 (13)
H27	0.3409	0.2900	0.4118	0.073*
C28	−0.0452 (4)	0.4780 (4)	0.4676 (3)	0.0402 (9)
H28a	−0.1042	0.5503	0.4344	0.048*
H28b	−0.1053	0.4345	0.5155	0.048*

Atomic displacement parameters (Ų)

	U^11	U^22	U^33	U^12	U^13	U^23
Ag1	0.0540 (2)	0.0584 (2)	0.0398 (2)	−0.03011 (17)	0.00567 (14)	−0.01188 (14)
P1	0.0362 (5)	0.0320 (4)	0.0313 (5)	−0.0148 (4)	−0.0032 (4)	−0.0016 (3)
P2	0.0357 (5)	0.0402 (5)	0.0314 (5)	−0.0153 (4)	−0.0013 (4)	−0.0074 (4)
F1	0.232 (7)	0.086 (3)	0.219 (6)	−0.013 (4)	−0.058 (5)	−0.027 (4)
F2	0.130 (4)	0.148 (4)	0.148 (4)	−0.104 (3)	0.038 (3)	−0.054 (3)
F3	0.156 (4)	0.138 (4)	0.072 (2)	−0.069 (3)	0.014 (2)	−0.050 (2)
O1	0.113 (4)	0.074 (3)	0.153 (5)	−0.037 (3)	−0.060 (4)	−0.010 (3)
O2	0.138 (5)	0.141 (5)	0.178 (6)	−0.013 (4)	−0.085 (5)	−0.020 (4)
C1	0.052 (3)	0.081 (4)	0.056 (3)	−0.032 (3)	0.001 (2)	−0.020 (3)
C2	0.105 (5)	0.115 (6)	0.079 (4)	−0.069 (5)	0.023 (4)	−0.043 (4)
C3	0.048 (2)	0.0326 (18)	0.045 (2)	−0.0159 (16)	−0.0201 (18)	−0.0001 (15)
C4	0.073 (3)	0.052 (3)	0.072 (3)	−0.037 (2)	−0.038 (3)	0.023 (2)
C5	0.105 (5)	0.047 (3)	0.112 (5)	−0.041 (3)	−0.070 (4)	0.030 (3)
C6	0.099 (5)	0.037 (3)	0.128 (6)	−0.005 (3)	−0.072 (5)	−0.009 (3)
C7	0.073 (4)	0.059 (3)	0.094 (4)	0.009 (3)	−0.031 (3)	−0.029 (3)
C8	0.063 (3)	0.051 (2)	0.048 (3)	−0.003 (2)	−0.013 (2)	−0.011 (2)
C9	0.039 (2)	0.0309 (17)	0.044 (2)	−0.0089 (15)	−0.0140 (17)	−0.0010 (15)
C10	0.058 (3)	0.063 (3)	0.044 (2)	−0.022 (2)	−0.010 (2)	−0.007 (2)
C11	0.084 (4)	0.068 (3)	0.058 (3)	−0.021 (3)	−0.033 (3)	−0.006 (2)
C12	0.078 (4)	0.054 (3)	0.090 (4)	−0.011 (3)	−0.056 (3)	−0.002 (3)
C13	0.048 (3)	0.074 (3)	0.098 (5)	−0.020 (3)	−0.027 (3)	−0.008 (3)
C14	0.043 (3)	0.057 (3)	0.060 (3)	−0.015 (2)	−0.007 (2)	−0.007 (2)
C15	0.041 (2)	0.0335 (17)	0.0331 (18)	−0.0160 (16)	−0.0072 (16)	0.0041 (14)
C16	0.048 (2)	0.048 (2)	0.0324 (19)	−0.0261 (18)	−0.0092 (16)	0.0022 (16)
C17	0.054 (3)	0.062 (3)	0.060 (3)	−0.019 (2)	−0.022 (2)	−0.002 (2)
C18	0.066 (4)	0.089 (4)	0.082 (4)	−0.032 (3)	−0.037 (3)	0.006 (3)
C19	0.099 (5)	0.094 (4)	0.071 (4)	−0.061 (4)	−0.041 (3)	0.008 (3)
C20	0.099 (5)	0.081 (4)	0.075 (4)	−0.046 (4)	−0.023 (3)	−0.022 (3)
C21	0.065 (3)	0.065 (3)	0.064 (3)	−0.030 (3)	−0.005 (2)	−0.018 (2)
C22	0.042 (2)	0.042 (2)	0.043 (2)	−0.0066 (17)	−0.0071 (17)	−0.0137 (17)
C23	0.077 (4)	0.062 (3)	0.065 (3)	−0.022 (3)	−0.020 (3)	0.013 (2)
C24	0.128 (7)	0.060 (3)	0.079 (4)	−0.015 (4)	−0.034 (4)	0.017 (3)
C25	0.115 (6)	0.072 (4)	0.089 (5)	0.013 (4)	−0.051 (5)	−0.011 (4)
C26	0.070 (4)	0.090 (5)	0.110 (5)	0.014 (4)	−0.049 (4)	−0.038 (4)
C27	0.049 (3)	0.069 (3)	0.065 (3)	−0.004 (2)	−0.018 (2)	−0.021 (2)
C28	0.037 (2)	0.046 (2)	0.037 (2)	−0.0084 (17)	−0.0038 (16)	−0.0114 (16)

Geometric parameters (Å, º)

Ag1—O1	2.392 (4)	C12—H12	0.9300
Ag1—P1	2.424 (1)	C13—C14	1.386 (4)
Ag1—P2	2.428 (1)	C13—H13	0.9300
P1—C9	1.817 (4)	C14—H14	0.9300
P1—C3	1.820 (4)	C15—C15^i	1.537 (4)
P1—C15	1.825 (3)	C15—H15a	0.9700
P2—C16	1.808 (4)	C15—H15b	0.9700
P2—C22	1.809 (4)	C16—C17	1.381 (4)
P2—C28	1.836 (4)	C16—C21	1.383 (4)
F1—C2	1.314 (4)	C17—C18	1.391 (4)
F2—C2	1.294 (4)	C17—H17	0.9300
F3—C2	1.300 (4)	C18—C19	1.380 (5)
O1—C1	1.159 (7)	C18—H18	0.9300
O2—C1	1.173 (8)	C19—C20	1.382 (5)
C1—C2	1.540 (4)	C19—H19	0.9300
C3—C8	1.383 (4)	C20—C21	1.385 (4)
C3—C4	1.389 (4)	C20—H20	0.9300
C4—C5	1.388 (4)	C21—H21	0.9300
C4—H4	0.9300	C22—C27	1.381 (4)
C5—C6	1.381 (5)	C22—C23	1.386 (4)
C5—H5	0.9300	C23—C24	1.382 (4)
C6—C7	1.376 (5)	C23—H23	0.9300
C6—H6	0.9300	C24—C25	1.380 (5)
C7—C8	1.382 (4)	C24—H24	0.9300
C7—H7	0.9300	C25—C26	1.379 (5)
C8—H8	0.9300	C25—H25	0.9300
C9—C14	1.378 (4)	C26—C27	1.389 (5)
C9—C10	1.384 (4)	C26—H26	0.9300
C10—C11	1.377 (4)	C27—H27	0.9300
C10—H10	0.9300	C28—C28^ii	1.535 (4)
C11—C12	1.379 (4)	C28—H28a	0.9700
C11—H11	0.9300	C28—H28b	0.9700
C12—C13	1.375 (5)
O1—Ag1—P1	112.2 (2)	C12—C13—C14	120.5 (5)
O1—Ag1—P2	112.2 (2)	C12—C13—H13	119.7
P1—Ag1—P2	134.97 (3)	C14—C13—H13	119.7
C9—P1—C3	103.28 (17)	C9—C14—C13	120.3 (4)
C9—P1—C15	104.28 (14)	C9—C14—H14	119.9
C3—P1—C15	104.31 (17)	C13—C14—H14	119.9
C9—P1—Ag1	114.49 (12)	C15^i—C15—P1	111.2 (3)
C3—P1—Ag1	112.93 (12)	C15^i—C15—H15a	109.4
C15—P1—Ag1	116.17 (12)	P1—C15—H15a	109.4
C16—P2—C22	104.61 (17)	C15^i—C15—H15b	109.4
C16—P2—C28	104.37 (15)	P1—C15—H15b	109.4
C22—P2—C28	101.94 (18)	H15a—C15—H15b	108.0
C16—P2—Ag1	112.33 (12)	C17—C16—C21	119.3 (4)
C22—P2—Ag1	113.38 (13)	C17—C16—P2	122.1 (3)
C28—P2—Ag1	118.71 (13)	C21—C16—P2	118.5 (3)
C1—O1—Ag1	105.8 (4)	C16—C17—C18	120.4 (4)
O1—C1—O2	124.7 (6)	C16—C17—H17	119.8
O1—C1—C2	113.6 (5)	C18—C17—H17	119.8
O2—C1—C2	121.5 (6)	C19—C18—C17	119.8 (5)
F2—C2—F3	107.7 (4)	C19—C18—H18	120.1
F2—C2—F1	105.5 (4)	C17—C18—H18	120.1
F3—C2—F1	105.8 (4)	C20—C19—C18	120.0 (5)
F2—C2—C1	111.1 (4)	C20—C19—H19	120.0
F3—C2—C1	110.6 (4)	C18—C19—H19	120.0
F1—C2—C1	115.7 (5)	C19—C20—C21	119.9 (5)
C8—C3—C4	119.6 (4)	C19—C20—H20	120.1
C8—C3—P1	122.5 (3)	C21—C20—H20	120.1
C4—C3—P1	117.8 (3)	C16—C21—C20	120.5 (5)
C3—C4—C5	119.5 (5)	C16—C21—H21	119.7
C3—C4—H4	120.3	C20—C21—H21	119.7
C5—C4—H4	120.3	C27—C22—C23	119.4 (4)
C6—C5—C4	120.4 (5)	C27—C22—P2	119.2 (3)
C6—C5—H5	119.8	C23—C22—P2	121.2 (3)
C4—C5—H5	119.8	C24—C23—C22	120.6 (5)
C7—C6—C5	120.0 (5)	C24—C23—H23	119.7
C7—C6—H6	120.0	C22—C23—H23	119.7
C5—C6—H6	120.0	C23—C24—C25	119.9 (6)
C6—C7—C8	119.9 (5)	C23—C24—H24	120.0
C6—C7—H7	120.0	C25—C24—H24	120.0
C8—C7—H7	120.0	C26—C25—C24	119.7 (6)
C7—C8—C3	120.5 (5)	C26—C25—H25	120.2
C7—C8—H8	119.7	C24—C25—H25	120.2
C3—C8—H8	119.7	C25—C26—C27	120.5 (6)
C14—C9—C10	118.7 (4)	C25—C26—H26	119.7
C14—C9—P1	119.1 (3)	C27—C26—H26	119.7
C10—C9—P1	122.2 (3)	C22—C27—C26	119.8 (5)
C11—C10—C9	121.1 (4)	C22—C27—H27	120.1
C11—C10—H10	119.4	C26—C27—H27	120.1
C9—C10—H10	119.4	C28^ii—C28—P2	110.5 (3)
C10—C11—C12	119.9 (5)	C28^ii—C28—H28a	109.5
C10—C11—H11	120.0	P2—C28—H28a	109.5
C12—C11—H11	120.0	C28^ii—C28—H28b	109.5
C13—C12—C11	119.4 (5)	P2—C28—H28b	109.5
C13—C12—H12	120.3	H28a—C28—H28b	108.1
C11—C12—H12	120.3
O1—Ag1—P1—C9	−113.21 (19)	C14—C9—C10—C11	−2.1 (7)
P2—Ag1—P1—C9	56.39 (14)	P1—C9—C10—C11	175.3 (4)
O1—Ag1—P1—C3	128.96 (19)	C9—C10—C11—C12	0.1 (8)
P2—Ag1—P1—C3	−61.44 (14)	C10—C11—C12—C13	1.0 (8)
O1—Ag1—P1—C15	8.51 (18)	C11—C12—C13—C14	−0.1 (8)
P2—Ag1—P1—C15	178.11 (11)	C10—C9—C14—C13	3.0 (7)
O1—Ag1—P2—C16	127.77 (19)	P1—C9—C14—C13	−174.5 (4)
P1—Ag1—P2—C16	−41.83 (15)	C12—C13—C14—C9	−1.9 (8)
O1—Ag1—P2—C22	−113.90 (19)	C9—P1—C15—C15^i	−174.2 (4)
P1—Ag1—P2—C22	76.51 (14)	C3—P1—C15—C15^i	−66.2 (4)
O1—Ag1—P2—C28	5.69 (19)	Ag1—P1—C15—C15^i	58.8 (4)
P1—Ag1—P2—C28	−163.90 (12)	C22—P2—C16—C17	126.4 (4)
P1—Ag1—O1—C1	−102.0 (5)	C28—P2—C16—C17	19.7 (4)
P2—Ag1—O1—C1	85.9 (5)	Ag1—P2—C16—C17	−110.2 (3)
Ag1—O1—C1—O2	12.2 (9)	C22—P2—C16—C21	−57.4 (4)
Ag1—O1—C1—C2	−173.1 (3)	C28—P2—C16—C21	−164.1 (4)
O1—C1—C2—F2	−119.0 (6)	Ag1—P2—C16—C21	66.0 (4)
O2—C1—C2—F2	55.8 (8)	C21—C16—C17—C18	−0.3 (7)
O1—C1—C2—F3	121.5 (6)	P2—C16—C17—C18	175.9 (4)
O2—C1—C2—F3	−63.7 (8)	C16—C17—C18—C19	−0.8 (9)
O1—C1—C2—F1	1.2 (7)	C17—C18—C19—C20	0.8 (9)
O2—C1—C2—F1	176.0 (7)	C18—C19—C20—C21	0.2 (10)
C9—P1—C3—C8	82.2 (4)	C17—C16—C21—C20	1.3 (7)
C15—P1—C3—C8	−26.6 (4)	P2—C16—C21—C20	−175.0 (4)
Ag1—P1—C3—C8	−153.6 (3)	C19—C20—C21—C16	−1.3 (9)
C9—P1—C3—C4	−95.3 (3)	C16—P2—C22—C27	149.4 (3)
C15—P1—C3—C4	155.9 (3)	C28—P2—C22—C27	−102.1 (4)
Ag1—P1—C3—C4	28.9 (4)	Ag1—P2—C22—C27	26.7 (4)
C8—C3—C4—C5	0.1 (6)	C16—P2—C22—C23	−35.7 (4)
P1—C3—C4—C5	177.7 (4)	C28—P2—C22—C23	72.8 (4)
C3—C4—C5—C6	−0.4 (8)	Ag1—P2—C22—C23	−158.5 (4)
C4—C5—C6—C7	0.7 (9)	C27—C22—C23—C24	0.0 (8)
C5—C6—C7—C8	−0.7 (9)	P2—C22—C23—C24	−174.9 (5)
C6—C7—C8—C3	0.5 (8)	C22—C23—C24—C25	−0.1 (10)
C4—C3—C8—C7	−0.2 (7)	C23—C24—C25—C26	0.3 (11)
P1—C3—C8—C7	−177.6 (4)	C24—C25—C26—C27	−0.3 (10)
C3—P1—C9—C14	107.8 (3)	C23—C22—C27—C26	0.0 (7)
C15—P1—C9—C14	−143.4 (3)	P2—C22—C27—C26	174.9 (4)
Ag1—P1—C9—C14	−15.4 (4)	C25—C26—C27—C22	0.2 (9)
C3—P1—C9—C10	−69.5 (4)	C16—P2—C28—C28^ii	170.7 (4)
C15—P1—C9—C10	39.3 (4)	C22—P2—C28—C28^ii	62.0 (4)
Ag1—P1—C9—C10	167.3 (3)	Ag1—P2—C28—C28^ii	−63.3 (4)

Symmetry codes: (i) −x+1, −y+1, −z; (ii) −x, −y+1, −z+1.