Supporting information
Crystallographic Information File (CIF) https://doi.org/10.1107/S1600536811004557/ez2230sup1.cif | |
Structure factor file (CIF format) https://doi.org/10.1107/S1600536811004557/ez2230Isup2.hkl |
CCDC reference: 815549
Key indicators
- Single-crystal X-ray study
- T = 295 K
- Mean (C-C) = 0.006 Å
- R factor = 0.074
- wR factor = 0.219
- Data-to-parameter ratio = 20.4
checkCIF/PLATON results
No syntax errors found
Alert level C PLAT029_ALERT_3_C _diffrn_measured_fraction_theta_full Low ....... 0.96 PLAT241_ALERT_2_C Check High Ueq as Compared to Neighbors for C14 PLAT340_ALERT_3_C Low Bond Precision on C-C Bonds (x 1000) Ang .. 6 PLAT414_ALERT_2_C Short Intra D-H..H-X H1 .. H6 .. 1.99 Ang. PLAT910_ALERT_3_C Missing # of FCF Reflections Below Th(Min) ..... 1 PLAT911_ALERT_3_C Missing # FCF Refl Between THmin & STh/L= 0.600 2 PLAT912_ALERT_4_C Missing # of FCF Reflections Above STh/L= 0.600 150
Alert level G PLAT860_ALERT_3_G Note: Number of Least-Squares Restraints ....... 12
0 ALERT level A = In general: serious problem 0 ALERT level B = Potentially serious problem 7 ALERT level C = Check and explain 1 ALERT level G = General alerts; check 0 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 5 ALERT type 3 Indicator that the structure quality may be low 1 ALERT type 4 Improvement, methodology, query or suggestion 0 ALERT type 5 Informative message, check
A solution of benzoyl chloride (0.7029 g, 5 mmol) in acetone (50 ml) was added drop wise to a suspension of potassium thiocyanate (0.4859 g, 5 mmol) in anhydrous acetone (50 ml). The reaction mixture was heated under reflux for 45 min. and then cooled to room temperature. A solution of diisobutyl amine (0.6462 g, 5 mmol) in acetone (30 ml) was added and the resulting mixture was stirred for 2 h. Hydrochloric acid (0.1 N, 300 ml) was added and the resulting white solid was filtered, washed with water and dried in vacuo. Single crystals for X-ray diffraction were grown at room temperature from an acetonitrile solution of the compound. Yield 72%; M.Pt. 415 K. FT—IR (KBr) ν(N—H) 3268, ν(C═O) 1688, ν(C=S) 1264 cm-1.
The H-atoms were placed in calculated positions (N—H = 0.88; C—H 0.93 to 0.98 Å) and were included in the refinement in the riding model approximation, with Uiso(H) set to 1.2 to 1.5Uequiv(N, C).
Data collection: CrysAlis PRO (Agilent, 2010); cell refinement: CrysAlis PRO (Agilent, 2010); data reduction: CrysAlis PRO (Agilent, 2010); program(s) used to solve structure: SHELXS97 (Sheldrick, 2008); program(s) used to refine structure: SHELXL97 (Sheldrick, 2008); molecular graphics: ORTEP-3 (Farrugia, 1997) and DIAMOND (Brandenburg, 2006); software used to prepare material for publication: publCIF (Westrip, 2010).
C16H24N2OS | Z = 2 |
Mr = 292.43 | F(000) = 316 |
Triclinic, P1 | Dx = 1.160 Mg m−3 |
Hall symbol: -P 1 | Mo Kα radiation, λ = 0.71073 Å |
a = 8.9331 (10) Å | Cell parameters from 1845 reflections |
b = 10.1023 (9) Å | θ = 2.2–29.2° |
c = 11.0725 (12) Å | µ = 0.19 mm−1 |
α = 105.776 (9)° | T = 295 K |
β = 112.734 (10)° | Block, colourless |
γ = 100.782 (9)° | 0.35 × 0.30 × 0.25 mm |
V = 837.47 (19) Å3 |
Agilent Supernova Dual diffractometer with an Atlas detector | 3693 independent reflections |
Radiation source: SuperNova (Mo) X-ray Source | 2232 reflections with I > 2σ(I) |
Mirror monochromator | Rint = 0.025 |
Detector resolution: 10.4041 pixels mm-1 | θmax = 27.5°, θmin = 2.2° |
ω scans | h = −10→11 |
Absorption correction: multi-scan (CrysAlis PRO; Agilent, 2010) | k = −13→12 |
Tmin = 0.936, Tmax = 0.954 | l = −14→12 |
6265 measured reflections |
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)] = 0.074 | Hydrogen site location: inferred from neighbouring sites |
wR(F2) = 0.219 | H-atom parameters constrained |
S = 1.04 | w = 1/[σ2(Fo2) + (0.078P)2 + 0.7593P] where P = (Fo2 + 2Fc2)/3 |
3693 reflections | (Δ/σ)max = 0.001 |
181 parameters | Δρmax = 0.86 e Å−3 |
12 restraints | Δρmin = −0.58 e Å−3 |
C16H24N2OS | γ = 100.782 (9)° |
Mr = 292.43 | V = 837.47 (19) Å3 |
Triclinic, P1 | Z = 2 |
a = 8.9331 (10) Å | Mo Kα radiation |
b = 10.1023 (9) Å | µ = 0.19 mm−1 |
c = 11.0725 (12) Å | T = 295 K |
α = 105.776 (9)° | 0.35 × 0.30 × 0.25 mm |
β = 112.734 (10)° |
Agilent Supernova Dual diffractometer with an Atlas detector | 3693 independent reflections |
Absorption correction: multi-scan (CrysAlis PRO; Agilent, 2010) | 2232 reflections with I > 2σ(I) |
Tmin = 0.936, Tmax = 0.954 | Rint = 0.025 |
6265 measured reflections |
R[F2 > 2σ(F2)] = 0.074 | 12 restraints |
wR(F2) = 0.219 | H-atom parameters constrained |
S = 1.04 | Δρmax = 0.86 e Å−3 |
3693 reflections | Δρmin = −0.58 e Å−3 |
181 parameters |
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 > 2σ(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. |
x | y | z | Uiso*/Ueq | ||
S1 | 0.74828 (14) | 0.92803 (11) | 0.99096 (12) | 0.0711 (4) | |
O1 | 0.6998 (3) | 0.5295 (2) | 0.7153 (3) | 0.0585 (7) | |
N1 | 0.8690 (3) | 0.7638 (3) | 0.8494 (3) | 0.0512 (7) | |
H1 | 0.9753 | 0.8236 | 0.8909 | 0.061* | |
N2 | 0.6172 (3) | 0.7981 (3) | 0.7098 (3) | 0.0515 (7) | |
C1 | 0.9961 (4) | 0.5699 (3) | 0.8524 (3) | 0.0431 (7) | |
C2 | 0.9697 (5) | 0.4222 (4) | 0.8112 (4) | 0.0535 (9) | |
H2 | 0.8597 | 0.3566 | 0.7487 | 0.064* | |
C3 | 1.1045 (5) | 0.3706 (4) | 0.8615 (5) | 0.0653 (11) | |
H3 | 1.0847 | 0.2708 | 0.8335 | 0.078* | |
C4 | 1.2664 (5) | 0.4656 (5) | 0.9522 (5) | 0.0669 (11) | |
H4 | 1.3568 | 0.4306 | 0.9866 | 0.080* | |
C5 | 1.2961 (5) | 0.6133 (5) | 0.9929 (5) | 0.0661 (11) | |
H5 | 1.4069 | 0.6780 | 1.0542 | 0.079* | |
C6 | 1.1618 (4) | 0.6657 (4) | 0.9431 (4) | 0.0538 (9) | |
H6 | 1.1826 | 0.7656 | 0.9705 | 0.065* | |
C7 | 0.8421 (4) | 0.6165 (3) | 0.7986 (3) | 0.0426 (7) | |
C8 | 0.7372 (4) | 0.8250 (3) | 0.8392 (4) | 0.0513 (9) | |
C9 | 0.6351 (4) | 0.7432 (3) | 0.5811 (4) | 0.0526 (9) | |
H9A | 0.5352 | 0.6588 | 0.5122 | 0.063* | |
H9B | 0.7353 | 0.7118 | 0.6035 | 0.063* | |
C10 | 0.6535 (5) | 0.8564 (4) | 0.5150 (4) | 0.0654 (11) | |
H10 | 0.5463 | 0.8792 | 0.4831 | 0.079* | |
C11 | 0.6790 (7) | 0.7906 (5) | 0.3856 (4) | 0.0892 (15) | |
H11A | 0.5849 | 0.7025 | 0.3204 | 0.134* | |
H11B | 0.7847 | 0.7691 | 0.4149 | 0.134* | |
H11C | 0.6835 | 0.8587 | 0.3403 | 0.134* | |
C12 | 0.7998 (6) | 0.9970 (4) | 0.6237 (5) | 0.0877 (15) | |
H12A | 0.8091 | 1.0661 | 0.5801 | 0.132* | |
H12B | 0.9057 | 0.9765 | 0.6583 | 0.132* | |
H12C | 0.7765 | 1.0367 | 0.7012 | 0.132* | |
C13 | 0.4659 (4) | 0.8426 (4) | 0.6909 (5) | 0.0662 (11) | |
H13A | 0.4206 | 0.8536 | 0.6005 | 0.079* | |
H13B | 0.5025 | 0.9377 | 0.7640 | 0.079* | |
C14 | 0.3240 (5) | 0.7441 (4) | 0.6949 (7) | 0.106 (2) | |
H14 | 0.3640 | 0.7625 | 0.7957 | 0.127* | |
C15 | 0.1645 (5) | 0.7914 (5) | 0.6518 (6) | 0.0888 (15) | |
H15A | 0.1979 | 0.8950 | 0.6987 | 0.133* | |
H15B | 0.0863 | 0.7435 | 0.6785 | 0.133* | |
H15C | 0.1094 | 0.7655 | 0.5512 | 0.133* | |
C16 | 0.2816 (6) | 0.5830 (4) | 0.6261 (6) | 0.0816 (13) | |
H16A | 0.3853 | 0.5586 | 0.6554 | 0.122* | |
H16B | 0.2264 | 0.5542 | 0.5251 | 0.122* | |
H16C | 0.2058 | 0.5330 | 0.6536 | 0.122* |
U11 | U22 | U33 | U12 | U13 | U23 | |
S1 | 0.0676 (7) | 0.0507 (6) | 0.0765 (7) | 0.0191 (5) | 0.0294 (6) | 0.0036 (5) |
O1 | 0.0434 (13) | 0.0383 (13) | 0.0653 (16) | 0.0071 (11) | 0.0031 (12) | 0.0157 (12) |
N1 | 0.0344 (14) | 0.0355 (15) | 0.0622 (18) | 0.0091 (12) | 0.0100 (13) | 0.0078 (13) |
N2 | 0.0364 (14) | 0.0400 (15) | 0.0659 (19) | 0.0137 (12) | 0.0144 (14) | 0.0156 (14) |
C1 | 0.0428 (17) | 0.0444 (18) | 0.0423 (17) | 0.0167 (15) | 0.0181 (14) | 0.0176 (14) |
C2 | 0.054 (2) | 0.0427 (19) | 0.059 (2) | 0.0190 (16) | 0.0215 (17) | 0.0169 (17) |
C3 | 0.069 (3) | 0.054 (2) | 0.088 (3) | 0.034 (2) | 0.040 (2) | 0.034 (2) |
C4 | 0.055 (2) | 0.077 (3) | 0.089 (3) | 0.039 (2) | 0.035 (2) | 0.046 (3) |
C5 | 0.0419 (19) | 0.071 (3) | 0.077 (3) | 0.0192 (19) | 0.0186 (18) | 0.029 (2) |
C6 | 0.0451 (19) | 0.050 (2) | 0.060 (2) | 0.0171 (16) | 0.0180 (16) | 0.0193 (17) |
C7 | 0.0417 (17) | 0.0384 (17) | 0.0383 (16) | 0.0125 (14) | 0.0111 (14) | 0.0128 (14) |
C8 | 0.0403 (17) | 0.0325 (17) | 0.067 (2) | 0.0098 (14) | 0.0173 (16) | 0.0118 (16) |
C9 | 0.0438 (18) | 0.0412 (19) | 0.060 (2) | 0.0136 (15) | 0.0125 (16) | 0.0183 (17) |
C10 | 0.055 (2) | 0.052 (2) | 0.075 (3) | 0.0160 (18) | 0.0104 (19) | 0.032 (2) |
C11 | 0.113 (4) | 0.077 (3) | 0.071 (3) | 0.025 (3) | 0.033 (3) | 0.038 (3) |
C12 | 0.092 (3) | 0.052 (3) | 0.089 (3) | 0.000 (2) | 0.021 (3) | 0.030 (2) |
C13 | 0.046 (2) | 0.057 (2) | 0.089 (3) | 0.0247 (18) | 0.022 (2) | 0.027 (2) |
C14 | 0.065 (3) | 0.072 (3) | 0.203 (7) | 0.033 (3) | 0.070 (4) | 0.065 (4) |
C15 | 0.060 (3) | 0.097 (4) | 0.139 (5) | 0.039 (3) | 0.057 (3) | 0.060 (4) |
C16 | 0.071 (3) | 0.057 (3) | 0.113 (4) | 0.012 (2) | 0.047 (3) | 0.027 (3) |
S1—C8 | 1.673 (4) | C9—H9B | 0.9700 |
O1—C7 | 1.214 (4) | C10—C12 | 1.528 (4) |
N1—C7 | 1.377 (4) | C10—C11 | 1.529 (4) |
N1—C8 | 1.410 (4) | C10—H10 | 0.9800 |
N1—H1 | 0.8800 | C11—H11A | 0.9600 |
N2—C8 | 1.330 (4) | C11—H11B | 0.9600 |
N2—C13 | 1.461 (4) | C11—H11C | 0.9600 |
N2—C9 | 1.464 (5) | C12—H12A | 0.9600 |
C1—C2 | 1.380 (5) | C12—H12B | 0.9600 |
C1—C6 | 1.386 (5) | C12—H12C | 0.9600 |
C1—C7 | 1.493 (4) | C13—C14 | 1.482 (4) |
C2—C3 | 1.381 (5) | C13—H13A | 0.9700 |
C2—H2 | 0.9300 | C13—H13B | 0.9700 |
C3—C4 | 1.362 (6) | C14—C16 | 1.498 (4) |
C3—H3 | 0.9300 | C14—C15 | 1.530 (4) |
C4—C5 | 1.376 (6) | C14—H14 | 0.9800 |
C4—H4 | 0.9300 | C15—H15A | 0.9600 |
C5—C6 | 1.382 (5) | C15—H15B | 0.9600 |
C5—H5 | 0.9300 | C15—H15C | 0.9600 |
C6—H6 | 0.9300 | C16—H16A | 0.9600 |
C9—C10 | 1.533 (4) | C16—H16B | 0.9600 |
C9—H9A | 0.9700 | C16—H16C | 0.9600 |
C7—N1—C8 | 124.2 (3) | C12—C10—H10 | 108.2 |
C7—N1—H1 | 117.9 | C11—C10—H10 | 108.2 |
C8—N1—H1 | 117.9 | C9—C10—H10 | 108.2 |
C8—N2—C13 | 120.0 (3) | C10—C11—H11A | 109.5 |
C8—N2—C9 | 124.2 (3) | C10—C11—H11B | 109.5 |
C13—N2—C9 | 115.2 (3) | H11A—C11—H11B | 109.5 |
C2—C1—C6 | 118.6 (3) | C10—C11—H11C | 109.5 |
C2—C1—C7 | 117.4 (3) | H11A—C11—H11C | 109.5 |
C6—C1—C7 | 124.0 (3) | H11B—C11—H11C | 109.5 |
C1—C2—C3 | 120.9 (4) | C10—C12—H12A | 109.5 |
C1—C2—H2 | 119.6 | C10—C12—H12B | 109.5 |
C3—C2—H2 | 119.6 | H12A—C12—H12B | 109.5 |
C4—C3—C2 | 120.1 (4) | C10—C12—H12C | 109.5 |
C4—C3—H3 | 119.9 | H12A—C12—H12C | 109.5 |
C2—C3—H3 | 119.9 | H12B—C12—H12C | 109.5 |
C3—C4—C5 | 120.0 (3) | N2—C13—C14 | 116.6 (3) |
C3—C4—H4 | 120.0 | N2—C13—H13A | 108.1 |
C5—C4—H4 | 120.0 | C14—C13—H13A | 108.1 |
C4—C5—C6 | 120.2 (4) | N2—C13—H13B | 108.1 |
C4—C5—H5 | 119.9 | C14—C13—H13B | 108.1 |
C6—C5—H5 | 119.9 | H13A—C13—H13B | 107.3 |
C5—C6—C1 | 120.2 (3) | C13—C14—C16 | 118.4 (4) |
C5—C6—H6 | 119.9 | C13—C14—C15 | 111.0 (3) |
C1—C6—H6 | 119.9 | C16—C14—C15 | 112.5 (4) |
O1—C7—N1 | 121.4 (3) | C13—C14—H14 | 104.5 |
O1—C7—C1 | 122.1 (3) | C16—C14—H14 | 104.5 |
N1—C7—C1 | 116.6 (3) | C15—C14—H14 | 104.5 |
N2—C8—N1 | 117.1 (3) | C14—C15—H15A | 109.5 |
N2—C8—S1 | 125.9 (3) | C14—C15—H15B | 109.5 |
N1—C8—S1 | 117.1 (3) | H15A—C15—H15B | 109.5 |
N2—C9—C10 | 113.3 (3) | C14—C15—H15C | 109.5 |
N2—C9—H9A | 108.9 | H15A—C15—H15C | 109.5 |
C10—C9—H9A | 108.9 | H15B—C15—H15C | 109.5 |
N2—C9—H9B | 108.9 | C14—C16—H16A | 109.5 |
C10—C9—H9B | 108.9 | C14—C16—H16B | 109.5 |
H9A—C9—H9B | 107.7 | H16A—C16—H16B | 109.5 |
C12—C10—C11 | 112.2 (3) | C14—C16—H16C | 109.5 |
C12—C10—C9 | 110.9 (3) | H16A—C16—H16C | 109.5 |
C11—C10—C9 | 109.1 (3) | H16B—C16—H16C | 109.5 |
C6—C1—C2—C3 | 1.4 (5) | C13—N2—C8—N1 | 172.5 (3) |
C7—C1—C2—C3 | −177.1 (3) | C9—N2—C8—N1 | −16.3 (5) |
C1—C2—C3—C4 | −0.5 (6) | C13—N2—C8—S1 | −9.0 (5) |
C2—C3—C4—C5 | −0.5 (6) | C9—N2—C8—S1 | 162.2 (3) |
C3—C4—C5—C6 | 0.6 (7) | C7—N1—C8—N2 | −61.8 (5) |
C4—C5—C6—C1 | 0.4 (6) | C7—N1—C8—S1 | 119.6 (3) |
C2—C1—C6—C5 | −1.4 (5) | C8—N2—C9—C10 | −109.9 (4) |
C7—C1—C6—C5 | 177.1 (3) | C13—N2—C9—C10 | 61.7 (4) |
C8—N1—C7—O1 | 15.7 (5) | N2—C9—C10—C12 | 53.6 (4) |
C8—N1—C7—C1 | −163.6 (3) | N2—C9—C10—C11 | 177.6 (3) |
C2—C1—C7—O1 | −4.2 (5) | C8—N2—C13—C14 | −82.1 (5) |
C6—C1—C7—O1 | 177.4 (3) | C9—N2—C13—C14 | 105.9 (4) |
C2—C1—C7—N1 | 175.2 (3) | N2—C13—C14—C16 | −39.2 (7) |
C6—C1—C7—N1 | −3.3 (5) | N2—C13—C14—C15 | −171.4 (4) |
D—H···A | D—H | H···A | D···A | D—H···A |
N1—H1···S1i | 0.88 | 2.74 | 3.586 (3) | 162 |
C9—H9a···O1ii | 0.97 | 2.49 | 3.424 (5) | 162 |
Symmetry codes: (i) −x+2, −y+2, −z+2; (ii) −x+1, −y+1, −z+1. |
Experimental details
Crystal data | |
Chemical formula | C16H24N2OS |
Mr | 292.43 |
Crystal system, space group | Triclinic, P1 |
Temperature (K) | 295 |
a, b, c (Å) | 8.9331 (10), 10.1023 (9), 11.0725 (12) |
α, β, γ (°) | 105.776 (9), 112.734 (10), 100.782 (9) |
V (Å3) | 837.47 (19) |
Z | 2 |
Radiation type | Mo Kα |
µ (mm−1) | 0.19 |
Crystal size (mm) | 0.35 × 0.30 × 0.25 |
Data collection | |
Diffractometer | Agilent Supernova Dual diffractometer with an Atlas detector |
Absorption correction | Multi-scan (CrysAlis PRO; Agilent, 2010) |
Tmin, Tmax | 0.936, 0.954 |
No. of measured, independent and observed [I > 2σ(I)] reflections | 6265, 3693, 2232 |
Rint | 0.025 |
(sin θ/λ)max (Å−1) | 0.650 |
Refinement | |
R[F2 > 2σ(F2)], wR(F2), S | 0.074, 0.219, 1.04 |
No. of reflections | 3693 |
No. of parameters | 181 |
No. of restraints | 12 |
H-atom treatment | H-atom parameters constrained |
Δρmax, Δρmin (e Å−3) | 0.86, −0.58 |
Computer programs: CrysAlis PRO (Agilent, 2010), SHELXS97 (Sheldrick, 2008), SHELXL97 (Sheldrick, 2008), ORTEP-3 (Farrugia, 1997) and DIAMOND (Brandenburg, 2006), publCIF (Westrip, 2010).
D—H···A | D—H | H···A | D···A | D—H···A |
N1—H1···S1i | 0.88 | 2.74 | 3.586 (3) | 162 |
C9—H9a···O1ii | 0.97 | 2.49 | 3.424 (5) | 162 |
Symmetry codes: (i) −x+2, −y+2, −z+2; (ii) −x+1, −y+1, −z+1. |
N,N-Dialkyl-N'-benzoylthioureas are versatile ligands which can coordinate to transition metal centres either as neutral species or in an anionic form. The complexation capacity of thiourea derivatives has been reported in several studies (Binzet et al., 2009; Gunasekaran et al., 2010). Chiral and achiral platinum(II) complexes of these ligands have been used as chemotherapeutic agents (Sacht et al., 2000) while cadmium(II) complexes of N,N-diethyl-N'-benzoylthiourea have been used as single-source precursors for the preparation of CdS nanoparticles (Bruce et al., 2007). In addition, thioureas have been shown to possess anti-tubercular, anti-helmintic, anti-bacterial, insecticidal and rodenticidal properties (Arslan et al., 2006). In continuation of structural studies of these derivatives (Gunasekaran et al., 2010a; Gunasekaran et al., 2010b), the title compound, (I), was investigated.
In (I), Fig. 1, the molecule exhibits a significant twist about the central N(H)–C bond as seen in the value of the C7–N1–C8–S1 torsion angle of 119.6 (3) °. This arrangement causes the carbonyl-O and thione-S atoms to lie on opposite sides of the molecule. Similarly, the carbonyl and N–H groups are directed away from each other. This conformation allows for the formation of N–H···S hydrogen bonds, Table 1, via an eight-membered {···HNCS}2 ring which has the shape of an elongated chair. These are connected into supramolecular chains along [1 1 1] via C–H···O contacts that close 14-membered {···HCNCNCO}2 synthons, also adopting the shape of an elongated chair, Table 1 and Fig. 2. Chains are arranged into layers via weak π···π interactions [Cg(C1–C6)···Cg(C1–C6)i = 3.806 (3) Å for i: 2 - x, 1 - y, 2 - z] and these stack as shown in Fig. 3.