In the title compound, C
22H
22N
2O
4, the central pyrazoline ring exhibits a nearly planar structure (r.m.s. deviation = 0.025 Å) despite having two
sp3 carbon atoms. The pyrazoline ring subtends dihedral angles of 4.61 (1) and 87.31 (1)° with the pendant benzene ring and naphthalene ring system, respectively. The dihedral angle between the planes of the benzene ring and the naphthalene ring system is 89.76 (2)°. An intramolecular O—H
N hydrogen bond forms an
S(6) ring motif. In the crystal, inversion dimers formed by pairwise weak N—H
N hydrogen bonds generate
R22(4) loops and the dimers are linked by pairwise C—H
O hydrogen bonds [which generate
R22(8) loops] into [100] chains.
Supporting information
CCDC reference: 2285981
Key indicators
Structure: I
- Single-crystal X-ray study
- T = 200 K
- Mean (C-C) = 0.004 Å
- R factor = 0.059
- wR factor = 0.184
- Data-to-parameter ratio = 14.3
checkCIF/PLATON results
No syntax errors found
Alert level C
PLAT230_ALERT_2_C Hirshfeld Test Diff for C19 --C20 . 5.5 s.u.
PLAT340_ALERT_3_C Low Bond Precision on C-C Bonds ............... 0.00443 Ang.
PLAT420_ALERT_2_C D-H Bond Without Acceptor N2 --H2A . Please Check
PLAT906_ALERT_3_C Large K Value in the Analysis of Variance ...... 4.524 Check
Alert level G
PLAT005_ALERT_5_G No Embedded Refinement Details Found in the CIF Please Do !
PLAT007_ALERT_5_G Number of Unrefined Donor-H Atoms .............. 2 Report
PLAT480_ALERT_4_G Long H...A H-Bond Reported H2A ..N2 . 2.68 Ang.
PLAT912_ALERT_4_G Missing # of FCF Reflections Above STh/L= 0.600 6 Note
PLAT978_ALERT_2_G Number C-C Bonds with Positive Residual Density. 0 Info
0 ALERT level A = Most likely a serious problem - resolve or explain
0 ALERT level B = A potentially serious problem, consider carefully
4 ALERT level C = Check. Ensure it is not caused by an omission or oversight
5 ALERT level G = General information/check it is not something unexpected
0 ALERT type 1 CIF construction/syntax error, inconsistent or missing data
3 ALERT type 2 Indicator that the structure model may be wrong or deficient
2 ALERT type 3 Indicator that the structure quality may be low
2 ALERT type 4 Improvement, methodology, query or suggestion
2 ALERT type 5 Informative message, check
Data collection: SMART (Bruker, 2012); cell refinement: SMART (Bruker, 2012); data reduction: SAINT (Bruker, 2012); program(s) used to solve structure: SHELXS (Sheldrick, 2008); program(s) used to refine structure: SHELXL2014/7 (Sheldrick, 2015); molecular graphics: SHELXTL (Sheldrick, 2008); software used to prepare material for publication: publCIF (Westrip, 2010).
2-[5-(2,3-Dimethoxynaphthalen-1-yl)-4,5-dihydro-1
H-pyrazol-3-yl]-3-methoxyphenol
top
Crystal data top
C22H22N2O4 | F(000) = 800 |
Mr = 378.42 | Dx = 1.337 Mg m−3 |
Monoclinic, P21/n | Mo Kα radiation, λ = 0.71073 Å |
Hall symbol: -P 2yn | Cell parameters from 2685 reflections |
a = 9.6536 (9) Å | θ = 2.3–25.9° |
b = 9.0435 (9) Å | µ = 0.09 mm−1 |
c = 21.599 (2) Å | T = 200 K |
β = 94.473 (2)° | Block, colorless |
V = 1879.9 (3) Å3 | 0.26 × 0.21 × 0.08 mm |
Z = 4 | |
Data collection top
Bruker SMART CCD diffractometer | 1933 reflections with I > 2σ(I) |
Radiation source: fine-focus sealed tube | Rint = 0.055 |
Graphite monochromator | θmax = 26.0°, θmin = 1.9° |
phi and ω scans | h = −11→11 |
11235 measured reflections | k = −11→10 |
3687 independent reflections | l = −21→26 |
Refinement top
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)] = 0.059 | Hydrogen site location: inferred from neighbouring sites |
wR(F2) = 0.184 | H-atom parameters constrained |
S = 0.92 | w = 1/[σ2(Fo2) + (0.093P)2] where P = (Fo2 + 2Fc2)/3 |
3687 reflections | (Δ/σ)max < 0.001 |
257 parameters | Δρmax = 0.46 e Å−3 |
0 restraints | Δρmin = −0.28 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. |
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 > 2sigma(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 | |
O1 | 0.8751 (3) | 1.3353 (3) | 0.02640 (12) | 0.0694 (7) | |
H1 | 0.8035 | 1.2849 | 0.0310 | 0.104* | |
C1 | 0.9888 (3) | 1.2574 (4) | 0.04692 (14) | 0.0506 (8) | |
C2 | 0.9795 (3) | 1.1101 (3) | 0.06640 (12) | 0.0398 (7) | |
C3 | 1.1048 (3) | 1.0390 (4) | 0.08642 (13) | 0.0501 (8) | |
C4 | 1.2308 (3) | 1.1127 (5) | 0.08911 (15) | 0.0671 (11) | |
H4 | 1.3138 | 1.0633 | 0.1038 | 0.080* | |
C5 | 1.2350 (4) | 1.2572 (6) | 0.07051 (17) | 0.0747 (13) | |
H5 | 1.3216 | 1.3076 | 0.0726 | 0.090* | |
C6 | 1.1167 (4) | 1.3309 (4) | 0.04891 (17) | 0.0701 (11) | |
H6 | 1.1215 | 1.4306 | 0.0354 | 0.084* | |
O2 | 1.0935 (2) | 0.8949 (3) | 0.10310 (11) | 0.0653 (7) | |
C7 | 1.2171 (3) | 0.8106 (5) | 0.11670 (17) | 0.0791 (13) | |
H7A | 1.2748 | 0.8154 | 0.0814 | 0.119* | |
H7B | 1.1924 | 0.7074 | 0.1243 | 0.119* | |
H7C | 1.2689 | 0.8511 | 0.1537 | 0.119* | |
C8 | 0.8433 (3) | 1.0377 (3) | 0.06725 (11) | 0.0335 (6) | |
C9 | 0.8141 (3) | 0.8850 (3) | 0.09064 (13) | 0.0373 (7) | |
H9A | 0.8446 | 0.8750 | 0.1353 | 0.045* | |
H9B | 0.8610 | 0.8086 | 0.0669 | 0.045* | |
C10 | 0.6550 (3) | 0.8726 (3) | 0.07970 (12) | 0.0345 (7) | |
H10 | 0.6331 | 0.8009 | 0.0451 | 0.041* | |
N1 | 0.7304 (2) | 1.1080 (3) | 0.04944 (10) | 0.0396 (6) | |
N2 | 0.6126 (2) | 1.0220 (3) | 0.05752 (11) | 0.0441 (6) | |
H2A | 0.5262 | 1.0522 | 0.0505 | 0.053* | |
C11 | 0.5866 (2) | 0.8181 (3) | 0.13617 (11) | 0.0320 (6) | |
C12 | 0.5293 (3) | 0.6788 (3) | 0.13404 (12) | 0.0364 (7) | |
C13 | 0.4716 (3) | 0.6134 (3) | 0.18643 (13) | 0.0405 (7) | |
C14 | 0.4723 (3) | 0.6915 (3) | 0.23996 (13) | 0.0442 (8) | |
H14 | 0.4354 | 0.6478 | 0.2751 | 0.053* | |
C15 | 0.5264 (3) | 0.8358 (3) | 0.24460 (12) | 0.0401 (7) | |
C16 | 0.5249 (3) | 0.9182 (4) | 0.30062 (14) | 0.0544 (9) | |
H16 | 0.4853 | 0.8758 | 0.3354 | 0.065* | |
C17 | 0.5787 (3) | 1.0556 (4) | 0.30515 (15) | 0.0596 (9) | |
H17 | 0.5734 | 1.1103 | 0.3424 | 0.072* | |
C18 | 0.6427 (3) | 1.1186 (4) | 0.25521 (15) | 0.0561 (9) | |
H18 | 0.6841 | 1.2137 | 0.2595 | 0.067* | |
C19 | 0.6453 (3) | 1.0430 (3) | 0.20025 (14) | 0.0473 (8) | |
H19 | 0.6875 | 1.0876 | 0.1666 | 0.057* | |
C20 | 0.5872 (3) | 0.9015 (3) | 0.19266 (12) | 0.0361 (7) | |
O3 | 0.51575 (19) | 0.5996 (2) | 0.07876 (9) | 0.0458 (6) | |
C21 | 0.6160 (4) | 0.4843 (4) | 0.07440 (16) | 0.0641 (10) | |
H21A | 0.7097 | 0.5268 | 0.0779 | 0.096* | |
H21B | 0.5998 | 0.4341 | 0.0343 | 0.096* | |
H21C | 0.6073 | 0.4129 | 0.1080 | 0.096* | |
O4 | 0.4194 (2) | 0.4742 (2) | 0.17676 (10) | 0.0552 (6) | |
C22 | 0.3611 (4) | 0.4043 (4) | 0.22780 (17) | 0.0702 (11) | |
H22A | 0.4324 | 0.3948 | 0.2624 | 0.105* | |
H22B | 0.3269 | 0.3059 | 0.2152 | 0.105* | |
H22C | 0.2839 | 0.4641 | 0.2409 | 0.105* | |
Atomic displacement parameters (Å2) top | U11 | U22 | U33 | U12 | U13 | U23 |
O1 | 0.0720 (17) | 0.0475 (15) | 0.0932 (19) | −0.0040 (13) | 0.0345 (15) | 0.0078 (13) |
C1 | 0.053 (2) | 0.054 (2) | 0.0474 (19) | −0.0117 (17) | 0.0242 (15) | −0.0107 (16) |
C2 | 0.0361 (16) | 0.055 (2) | 0.0295 (15) | −0.0084 (15) | 0.0084 (12) | −0.0068 (14) |
C3 | 0.0368 (18) | 0.079 (3) | 0.0350 (17) | −0.0054 (17) | 0.0065 (13) | −0.0057 (16) |
C4 | 0.0354 (19) | 0.121 (4) | 0.045 (2) | −0.014 (2) | 0.0082 (15) | −0.011 (2) |
C5 | 0.054 (2) | 0.120 (4) | 0.053 (2) | −0.042 (3) | 0.0256 (18) | −0.036 (2) |
C6 | 0.079 (3) | 0.072 (3) | 0.064 (2) | −0.034 (2) | 0.037 (2) | −0.024 (2) |
O2 | 0.0289 (12) | 0.096 (2) | 0.0708 (16) | 0.0136 (12) | 0.0008 (10) | 0.0202 (14) |
C7 | 0.0374 (19) | 0.132 (4) | 0.067 (2) | 0.027 (2) | −0.0023 (17) | 0.014 (2) |
C8 | 0.0325 (15) | 0.0428 (17) | 0.0259 (14) | −0.0002 (13) | 0.0057 (11) | −0.0012 (12) |
C9 | 0.0307 (15) | 0.0443 (17) | 0.0373 (16) | 0.0040 (13) | 0.0057 (12) | 0.0031 (13) |
C10 | 0.0331 (15) | 0.0417 (17) | 0.0288 (15) | −0.0007 (13) | 0.0035 (11) | −0.0003 (13) |
N1 | 0.0344 (13) | 0.0459 (15) | 0.0393 (14) | 0.0032 (12) | 0.0074 (10) | 0.0079 (11) |
N2 | 0.0241 (12) | 0.0538 (16) | 0.0536 (16) | 0.0054 (11) | −0.0020 (10) | 0.0145 (12) |
C11 | 0.0213 (13) | 0.0447 (17) | 0.0297 (15) | 0.0025 (12) | 0.0001 (11) | −0.0004 (12) |
C12 | 0.0302 (15) | 0.0444 (18) | 0.0349 (16) | 0.0035 (13) | 0.0050 (12) | −0.0011 (13) |
C13 | 0.0355 (16) | 0.0420 (18) | 0.0438 (18) | 0.0007 (14) | 0.0028 (13) | 0.0044 (14) |
C14 | 0.0360 (16) | 0.059 (2) | 0.0376 (18) | 0.0008 (15) | 0.0018 (13) | 0.0097 (15) |
C15 | 0.0308 (15) | 0.061 (2) | 0.0281 (15) | 0.0051 (14) | −0.0006 (12) | −0.0056 (14) |
C16 | 0.0481 (19) | 0.077 (3) | 0.0387 (18) | −0.0045 (18) | 0.0085 (14) | −0.0060 (17) |
C17 | 0.063 (2) | 0.074 (3) | 0.043 (2) | −0.004 (2) | 0.0132 (17) | −0.0211 (18) |
C18 | 0.0483 (19) | 0.059 (2) | 0.060 (2) | −0.0057 (16) | 0.0004 (16) | −0.0177 (18) |
C19 | 0.0406 (17) | 0.059 (2) | 0.0434 (18) | −0.0050 (16) | 0.0088 (14) | −0.0124 (16) |
C20 | 0.0263 (14) | 0.0462 (18) | 0.0360 (16) | −0.0035 (13) | 0.0034 (12) | −0.0051 (13) |
O3 | 0.0458 (12) | 0.0512 (13) | 0.0400 (12) | −0.0005 (10) | 0.0016 (9) | −0.0119 (10) |
C21 | 0.065 (2) | 0.064 (2) | 0.063 (2) | 0.0168 (19) | 0.0026 (18) | −0.0185 (18) |
O4 | 0.0632 (14) | 0.0494 (14) | 0.0546 (14) | −0.0158 (12) | 0.0142 (11) | 0.0026 (11) |
C22 | 0.073 (2) | 0.062 (2) | 0.077 (3) | −0.016 (2) | 0.016 (2) | 0.016 (2) |
Geometric parameters (Å, º) top
O1—C1 | 1.350 (4) | C11—C12 | 1.376 (4) |
O1—H1 | 0.8400 | C11—C20 | 1.434 (4) |
C1—C6 | 1.400 (5) | C12—O3 | 1.390 (3) |
C1—C2 | 1.402 (4) | C12—C13 | 1.428 (4) |
C2—C3 | 1.407 (4) | C13—C14 | 1.354 (4) |
C2—C8 | 1.470 (4) | C13—O4 | 1.365 (3) |
C3—O2 | 1.358 (4) | C14—C15 | 1.406 (4) |
C3—C4 | 1.385 (4) | C14—H14 | 0.9500 |
C4—C5 | 1.369 (5) | C15—C16 | 1.422 (4) |
C4—H4 | 0.9500 | C15—C20 | 1.435 (4) |
C5—C6 | 1.372 (5) | C16—C17 | 1.347 (4) |
C5—H5 | 0.9500 | C16—H16 | 0.9500 |
C6—H6 | 0.9500 | C17—C18 | 1.405 (5) |
O2—C7 | 1.427 (4) | C17—H17 | 0.9500 |
C7—H7A | 0.9800 | C18—C19 | 1.372 (4) |
C7—H7B | 0.9800 | C18—H18 | 0.9500 |
C7—H7C | 0.9800 | C19—C20 | 1.402 (4) |
C8—N1 | 1.295 (3) | C19—H19 | 0.9500 |
C8—C9 | 1.505 (4) | O3—C21 | 1.431 (3) |
C9—C10 | 1.539 (4) | C21—H21A | 0.9800 |
C9—H9A | 0.9900 | C21—H21B | 0.9800 |
C9—H9B | 0.9900 | C21—H21C | 0.9800 |
C10—N2 | 1.481 (3) | O4—C22 | 1.424 (4) |
C10—C11 | 1.514 (4) | C22—H22A | 0.9800 |
C10—H10 | 1.0000 | C22—H22B | 0.9800 |
N1—N2 | 1.400 (3) | C22—H22C | 0.9800 |
N2—H2A | 0.8800 | | |
| | | |
C1—O1—H1 | 109.5 | C12—C11—C20 | 119.0 (2) |
O1—C1—C6 | 117.1 (3) | C12—C11—C10 | 118.1 (2) |
O1—C1—C2 | 121.7 (3) | C20—C11—C10 | 122.8 (2) |
C6—C1—C2 | 121.2 (3) | C11—C12—O3 | 120.7 (2) |
C1—C2—C3 | 116.9 (3) | C11—C12—C13 | 122.3 (3) |
C1—C2—C8 | 120.3 (3) | O3—C12—C13 | 116.8 (2) |
C3—C2—C8 | 122.7 (3) | C14—C13—O4 | 126.1 (3) |
O2—C3—C4 | 122.6 (3) | C14—C13—C12 | 118.9 (3) |
O2—C3—C2 | 115.8 (3) | O4—C13—C12 | 115.0 (3) |
C4—C3—C2 | 121.6 (4) | C13—C14—C15 | 121.5 (3) |
C5—C4—C3 | 119.6 (4) | C13—C14—H14 | 119.3 |
C5—C4—H4 | 120.2 | C15—C14—H14 | 119.3 |
C3—C4—H4 | 120.2 | C14—C15—C16 | 121.2 (3) |
C4—C5—C6 | 121.4 (3) | C14—C15—C20 | 120.1 (3) |
C4—C5—H5 | 119.3 | C16—C15—C20 | 118.7 (3) |
C6—C5—H5 | 119.3 | C17—C16—C15 | 121.0 (3) |
C5—C6—C1 | 119.3 (4) | C17—C16—H16 | 119.5 |
C5—C6—H6 | 120.4 | C15—C16—H16 | 119.5 |
C1—C6—H6 | 120.4 | C16—C17—C18 | 120.6 (3) |
C3—O2—C7 | 119.0 (3) | C16—C17—H17 | 119.7 |
O2—C7—H7A | 109.5 | C18—C17—H17 | 119.7 |
O2—C7—H7B | 109.5 | C19—C18—C17 | 120.1 (3) |
H7A—C7—H7B | 109.5 | C19—C18—H18 | 120.0 |
O2—C7—H7C | 109.5 | C17—C18—H18 | 120.0 |
H7A—C7—H7C | 109.5 | C18—C19—C20 | 121.4 (3) |
H7B—C7—H7C | 109.5 | C18—C19—H19 | 119.3 |
N1—C8—C2 | 120.7 (3) | C20—C19—H19 | 119.3 |
N1—C8—C9 | 112.0 (2) | C19—C20—C11 | 123.7 (3) |
C2—C8—C9 | 127.2 (2) | C19—C20—C15 | 118.1 (3) |
C8—C9—C10 | 103.1 (2) | C11—C20—C15 | 118.2 (3) |
C8—C9—H9A | 111.1 | C12—O3—C21 | 114.4 (2) |
C10—C9—H9A | 111.1 | O3—C21—H21A | 109.5 |
C8—C9—H9B | 111.1 | O3—C21—H21B | 109.5 |
C10—C9—H9B | 111.1 | H21A—C21—H21B | 109.5 |
H9A—C9—H9B | 109.1 | O3—C21—H21C | 109.5 |
N2—C10—C11 | 115.5 (2) | H21A—C21—H21C | 109.5 |
N2—C10—C9 | 103.3 (2) | H21B—C21—H21C | 109.5 |
C11—C10—C9 | 113.1 (2) | C13—O4—C22 | 117.0 (3) |
N2—C10—H10 | 108.2 | O4—C22—H22A | 109.5 |
C11—C10—H10 | 108.2 | O4—C22—H22B | 109.5 |
C9—C10—H10 | 108.2 | H22A—C22—H22B | 109.5 |
C8—N1—N2 | 111.3 (2) | O4—C22—H22C | 109.5 |
N1—N2—C10 | 109.9 (2) | H22A—C22—H22C | 109.5 |
N1—N2—H2A | 125.0 | H22B—C22—H22C | 109.5 |
C10—N2—H2A | 125.0 | | |
| | | |
O1—C1—C2—C3 | 179.5 (3) | C9—C10—C11—C20 | 65.6 (3) |
C6—C1—C2—C3 | −1.6 (4) | C20—C11—C12—O3 | 174.4 (2) |
O1—C1—C2—C8 | −2.4 (4) | C10—C11—C12—O3 | −9.6 (4) |
C6—C1—C2—C8 | 176.5 (3) | C20—C11—C12—C13 | −0.7 (4) |
C1—C2—C3—O2 | −177.9 (2) | C10—C11—C12—C13 | 175.3 (2) |
C8—C2—C3—O2 | 4.1 (4) | C11—C12—C13—C14 | 0.5 (4) |
C1—C2—C3—C4 | 2.5 (4) | O3—C12—C13—C14 | −174.8 (2) |
C8—C2—C3—C4 | −175.6 (3) | C11—C12—C13—O4 | −179.7 (2) |
O2—C3—C4—C5 | 178.8 (3) | O3—C12—C13—O4 | 5.0 (3) |
C2—C3—C4—C5 | −1.6 (5) | O4—C13—C14—C15 | −178.7 (3) |
C3—C4—C5—C6 | −0.3 (5) | C12—C13—C14—C15 | 1.0 (4) |
C4—C5—C6—C1 | 1.2 (5) | C13—C14—C15—C16 | 179.0 (3) |
O1—C1—C6—C5 | 178.8 (3) | C13—C14—C15—C20 | −2.3 (4) |
C2—C1—C6—C5 | −0.2 (5) | C14—C15—C16—C17 | 179.0 (3) |
C4—C3—O2—C7 | −7.9 (4) | C20—C15—C16—C17 | 0.3 (4) |
C2—C3—O2—C7 | 172.5 (3) | C15—C16—C17—C18 | −2.5 (5) |
C1—C2—C8—N1 | 0.8 (4) | C16—C17—C18—C19 | 2.9 (5) |
C3—C2—C8—N1 | 178.8 (3) | C17—C18—C19—C20 | −1.1 (5) |
C1—C2—C8—C9 | −175.6 (3) | C18—C19—C20—C11 | 179.7 (3) |
C3—C2—C8—C9 | 2.4 (4) | C18—C19—C20—C15 | −1.1 (4) |
N1—C8—C9—C10 | 3.2 (3) | C12—C11—C20—C19 | 178.7 (2) |
C2—C8—C9—C10 | 179.8 (2) | C10—C11—C20—C19 | 2.8 (4) |
C8—C9—C10—N2 | −5.2 (3) | C12—C11—C20—C15 | −0.5 (4) |
C8—C9—C10—C11 | −130.8 (2) | C10—C11—C20—C15 | −176.4 (2) |
C2—C8—N1—N2 | −176.4 (2) | C14—C15—C20—C19 | −177.3 (2) |
C9—C8—N1—N2 | 0.5 (3) | C16—C15—C20—C19 | 1.5 (4) |
C8—N1—N2—C10 | −4.2 (3) | C14—C15—C20—C11 | 2.0 (4) |
C11—C10—N2—N1 | 129.9 (2) | C16—C15—C20—C11 | −179.2 (2) |
C9—C10—N2—N1 | 5.8 (3) | C11—C12—O3—C21 | 103.7 (3) |
N2—C10—C11—C12 | 130.9 (3) | C13—C12—O3—C21 | −80.9 (3) |
C9—C10—C11—C12 | −110.3 (3) | C14—C13—O4—C22 | −0.4 (4) |
N2—C10—C11—C20 | −53.2 (3) | C12—C13—O4—C22 | 179.8 (3) |
Hydrogen-bond geometry (Å, º) top
D—H···A | D—H | H···A | D···A | D—H···A |
O1—H1···N1 | 0.84 | 1.81 | 2.556 (3) | 148 |
N2—H2A···N2i | 0.88 | 2.68 | 3.196 (5) | 118 |
C6—H6···O1ii | 0.95 | 2.50 | 3.433 (5) | 166 |
Symmetry codes: (i) −x+1, −y+2, −z; (ii) −x+2, −y+3, −z. |