supplementary materials
Dimethyl (1,1'-binaphthyl-2,2'-dioxy)diacetate
The two naphthyl fused-ring systems in the title compound, C22H26O6, are aligned at 86.7 (1)°. Weak intermolecular C-H
O hydrogen bonding is present in the crystal structure.
Potassium carbonate (0.55 g, 4 mmol) and 1,1'-binaphthyl-2,2'-diol (0.29 mg, 1 mmol) in acetone (10 ml) were stirred for 15 minutes. Methyl 2-chloroacetate
(0.54 g, 10 mmol) was added and the mixture was stirred at 323 K for
24twenty-four hours. The solvent was removed and the residue was dissolved in
a mixture of water (25 ml) and dichloromethane (25 ml). The two phases were
separated and the aqueous layer was extracted with dichloromethane. The
combined organic phases were dried and the solvent evaporated. The residue was
dissolved recrystallized from dichloromethane (0.33 g, 80% yield).
The crystal did not diffract strongly. To lower the observeds:parameters ratio,
the fused rings were refined as rigid naphthalenes of 1.39 Å sides.
Carbon-bound H-atoms were placed in calculated positions (C—H 0.93 to 0.99 Å) and were included in the refinement in the riding model approximation,
with Uiso(H) set to 1.2 to 1.5Ueq(C).
Data collection: APEX2 (Bruker, 2008); cell refinement: SAINT (Bruker, 2008); data reduction: SAINT (Bruker, 2008); program(s) used to solve structure: SHELXS97 (Sheldrick, 2008); program(s) used to refine structure: SHELXL97 (Sheldrick, 2008); molecular graphics: X-SEED (Barbour, 2001); software used to prepare material for publication: publCIF (Westrip, 2009).
Dimethyl (1,1'-binaphthyl-2,2'-dioxy)diacetate
top
Crystal data top
| C26H22O6 | F(000) = 1808 |
| Mr = 430.44 | Dx = 1.358 Mg m−3 |
| Orthorhombic, Pccn | Mo Kα radiation, λ = 0.71073 Å |
| Hall symbol: -P 2ab 2ac | Cell parameters from 1966 reflections |
| a = 17.1288 (5) Å | θ = 2.3–21.8° |
| b = 29.439 (1) Å | µ = 0.10 mm−1 |
| c = 8.3518 (3) Å | T = 123 K |
| V = 4211.5 (3) Å3 | Prism, colorless |
| Z = 8 | 0.27 × 0.12 × 0.05 mm |
Data collection top
Bruker SMART APEX diffractometer | 2613 reflections with I > 2σ(I) |
| Radiation source: fine-focus sealed tube | Rint = 0.069 |
| graphite | θmax = 25.0°, θmin = 1.4° |
| ω scans | h = −19→20 |
| 17329 measured reflections | k = −35→34 |
| 3700 independent reflections | l = −9→9 |
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)] = 0.085 | H-atom parameters constrained |
| wR(F2) = 0.195 | w = 1/[σ2(Fo2) + (0.05P)2 + 9P] where P = (Fo2 + 2Fc2)/3 |
| S = 1.23 | (Δ/σ)max = 0.001 |
| 3700 reflections | Δρmax = 0.57 e Å−3 |
| 244 parameters | Δρmin = −0.50 e Å−3 |
| 0 restraints | Extinction correction: SHELXL97 (Sheldrick, 2008), Fc*=kFc[1+0.001xFc2λ3/sin(2θ)]-1/4 |
| Primary atom site location: structure-invariant direct methods | Extinction coefficient: 0.0039 (6) |
Crystal data top
| C26H22O6 | V = 4211.5 (3) Å3 |
| Mr = 430.44 | Z = 8 |
| Orthorhombic, Pccn | Mo Kα radiation |
| a = 17.1288 (5) Å | µ = 0.10 mm−1 |
| b = 29.439 (1) Å | T = 123 K |
| c = 8.3518 (3) Å | 0.27 × 0.12 × 0.05 mm |
Data collection top
Bruker SMART APEX diffractometer | 2613 reflections with I > 2σ(I) |
| 17329 measured reflections | Rint = 0.069 |
| 3700 independent reflections | θmax = 25.0° |
Refinement top
| R[F2 > 2σ(F2)] = 0.085 | H-atom parameters constrained |
| wR(F2) = 0.195 | Δρmax = 0.57 e Å−3 |
| S = 1.23 | Δρmin = −0.50 e Å−3 |
| 3700 reflections | Absolute structure: ? |
| 244 parameters | Flack parameter: ? |
| 0 restraints | Rogers parameter: ? |
Fractional atomic coordinates and isotropic or equivalent isotropic displacement parameters (Å2) top| | x | y | z | Uiso*/Ueq | |
| O1 | 0.49537 (14) | 0.44569 (9) | 0.6224 (3) | 0.0253 (7) | |
| O2 | 0.41229 (16) | 0.50497 (10) | 0.9571 (4) | 0.0349 (8) | |
| O3 | 0.43431 (17) | 0.43116 (9) | 0.9055 (4) | 0.0334 (7) | |
| O4 | 0.56053 (15) | 0.38327 (10) | 0.2796 (4) | 0.0331 (7) | |
| O5 | 0.75115 (16) | 0.41527 (10) | 0.1635 (4) | 0.0367 (8) | |
| O6 | 0.67299 (16) | 0.44878 (10) | 0.3437 (4) | 0.0351 (8) | |
| C1 | 0.44243 (9) | 0.38011 (6) | 0.4970 (3) | 0.0247 (9) | |
| C2 | 0.43217 (11) | 0.42447 (6) | 0.5501 (3) | 0.0232 (9) | |
| C3 | 0.36353 (12) | 0.44760 (5) | 0.5150 (3) | 0.0260 (9) | |
| H3 | 0.3565 | 0.4779 | 0.5512 | 0.031* | |
| C4 | 0.30515 (10) | 0.42638 (5) | 0.4268 (3) | 0.0293 (10) | |
| H4 | 0.2582 | 0.4422 | 0.4028 | 0.035* | |
| C5 | 0.31541 (8) | 0.38203 (5) | 0.3738 (2) | 0.0289 (10) | |
| C6 | 0.38405 (8) | 0.35890 (5) | 0.4089 (2) | 0.0267 (9) | |
| C7 | 0.39431 (11) | 0.31454 (5) | 0.3558 (3) | 0.0370 (11) | |
| H7 | 0.4412 | 0.2987 | 0.3798 | 0.044* | |
| C8 | 0.33593 (14) | 0.29333 (6) | 0.2677 (3) | 0.0478 (13) | |
| H8 | 0.3429 | 0.2630 | 0.2314 | 0.057* | |
| C9 | 0.26729 (13) | 0.31646 (7) | 0.2326 (3) | 0.0453 (13) | |
| H9 | 0.2274 | 0.3020 | 0.1723 | 0.054* | |
| C10 | 0.25703 (10) | 0.36081 (7) | 0.2856 (3) | 0.0366 (11) | |
| H10 | 0.2101 | 0.3766 | 0.2616 | 0.044* | |
| C11 | 0.52100 (10) | 0.35656 (7) | 0.5345 (2) | 0.0251 (9) | |
| C12 | 0.57926 (12) | 0.36020 (7) | 0.4193 (2) | 0.0278 (10) | |
| C13 | 0.65175 (11) | 0.34032 (8) | 0.4455 (2) | 0.0334 (11) | |
| H13 | 0.6916 | 0.3428 | 0.3668 | 0.040* | |
| C14 | 0.66599 (9) | 0.31681 (7) | 0.5869 (3) | 0.0342 (11) | |
| H14 | 0.7155 | 0.3032 | 0.6048 | 0.041* | |
| C15 | 0.60774 (9) | 0.31317 (5) | 0.7020 (2) | 0.0304 (10) | |
| C16 | 0.53524 (8) | 0.33305 (5) | 0.6758 (2) | 0.0281 (10) | |
| C17 | 0.47698 (10) | 0.32941 (8) | 0.7910 (2) | 0.0365 (11) | |
| H17 | 0.4274 | 0.3430 | 0.7731 | 0.044* | |
| C18 | 0.49122 (14) | 0.30589 (8) | 0.9323 (2) | 0.0446 (13) | |
| H18 | 0.4514 | 0.3034 | 1.0110 | 0.054* | |
| C19 | 0.56372 (15) | 0.28602 (8) | 0.9585 (2) | 0.0493 (14) | |
| H19 | 0.5734 | 0.2699 | 1.0551 | 0.059* | |
| C20 | 0.62197 (12) | 0.28966 (7) | 0.8434 (2) | 0.0426 (12) | |
| H20 | 0.6715 | 0.2761 | 0.8613 | 0.051* | |
| C21 | 0.4810 (2) | 0.48465 (13) | 0.7182 (5) | 0.0251 (9) | |
| H21A | 0.4502 | 0.5067 | 0.6547 | 0.030* | |
| H21B | 0.5316 | 0.4991 | 0.7444 | 0.030* | |
| C22 | 0.4379 (2) | 0.47498 (14) | 0.8724 (5) | 0.0277 (10) | |
| C23 | 0.4005 (3) | 0.41876 (16) | 1.0604 (5) | 0.0378 (11) | |
| H23A | 0.3838 | 0.3869 | 1.0577 | 0.057* | |
| H23B | 0.3553 | 0.4382 | 1.0825 | 0.057* | |
| H23C | 0.4397 | 0.4229 | 1.1447 | 0.057* | |
| C24 | 0.6217 (2) | 0.39136 (15) | 0.1669 (5) | 0.0312 (10) | |
| H24A | 0.5997 | 0.4056 | 0.0694 | 0.037* | |
| H24B | 0.6457 | 0.3621 | 0.1358 | 0.037* | |
| C25 | 0.6833 (2) | 0.42214 (14) | 0.2373 (5) | 0.0279 (10) | |
| C26 | 0.8161 (3) | 0.44240 (17) | 0.2228 (6) | 0.0441 (13) | |
| H26A | 0.8058 | 0.4746 | 0.2020 | 0.066* | |
| H26B | 0.8642 | 0.4333 | 0.1681 | 0.066* | |
| H26C | 0.8219 | 0.4376 | 0.3383 | 0.066* | |
Atomic displacement parameters (Å2) top| | U11 | U22 | U33 | U12 | U13 | U23 |
| O1 | 0.0193 (13) | 0.0271 (15) | 0.0295 (17) | 0.0006 (11) | 0.0016 (12) | −0.0053 (13) |
| O2 | 0.0353 (16) | 0.0398 (17) | 0.0297 (18) | 0.0082 (14) | 0.0038 (14) | −0.0048 (15) |
| O3 | 0.0429 (17) | 0.0302 (16) | 0.0271 (17) | −0.0061 (13) | 0.0034 (14) | 0.0016 (14) |
| O4 | 0.0216 (14) | 0.0433 (18) | 0.0346 (18) | 0.0013 (12) | 0.0041 (13) | 0.0074 (15) |
| O5 | 0.0238 (14) | 0.0423 (17) | 0.044 (2) | −0.0057 (13) | 0.0102 (14) | −0.0114 (16) |
| O6 | 0.0338 (16) | 0.0358 (17) | 0.0356 (18) | 0.0062 (13) | 0.0020 (14) | −0.0068 (16) |
| C1 | 0.022 (2) | 0.025 (2) | 0.027 (2) | 0.0001 (16) | 0.0015 (17) | 0.0037 (19) |
| C2 | 0.0209 (19) | 0.028 (2) | 0.020 (2) | −0.0054 (16) | 0.0017 (17) | 0.0017 (18) |
| C3 | 0.023 (2) | 0.029 (2) | 0.025 (2) | 0.0010 (17) | 0.0026 (17) | 0.0002 (19) |
| C4 | 0.020 (2) | 0.036 (2) | 0.031 (2) | 0.0028 (17) | 0.0018 (18) | 0.009 (2) |
| C5 | 0.022 (2) | 0.036 (2) | 0.029 (2) | −0.0070 (17) | −0.0004 (18) | 0.009 (2) |
| C6 | 0.026 (2) | 0.027 (2) | 0.027 (2) | −0.0061 (16) | 0.0037 (18) | 0.0028 (19) |
| C7 | 0.031 (2) | 0.035 (2) | 0.045 (3) | −0.0047 (19) | −0.005 (2) | 0.002 (2) |
| C8 | 0.045 (3) | 0.033 (3) | 0.065 (4) | −0.015 (2) | −0.005 (3) | 0.000 (3) |
| C9 | 0.038 (3) | 0.045 (3) | 0.053 (3) | −0.021 (2) | −0.011 (2) | 0.004 (3) |
| C10 | 0.025 (2) | 0.043 (3) | 0.043 (3) | −0.0110 (19) | −0.002 (2) | 0.012 (2) |
| C11 | 0.023 (2) | 0.022 (2) | 0.030 (2) | −0.0037 (16) | −0.0040 (18) | −0.0036 (19) |
| C12 | 0.025 (2) | 0.024 (2) | 0.034 (3) | −0.0029 (16) | −0.0050 (19) | −0.001 (2) |
| C13 | 0.022 (2) | 0.029 (2) | 0.049 (3) | −0.0001 (17) | 0.000 (2) | −0.006 (2) |
| C14 | 0.025 (2) | 0.021 (2) | 0.056 (3) | 0.0032 (17) | −0.011 (2) | −0.003 (2) |
| C15 | 0.031 (2) | 0.020 (2) | 0.041 (3) | 0.0019 (17) | −0.012 (2) | −0.003 (2) |
| C16 | 0.029 (2) | 0.021 (2) | 0.034 (3) | −0.0037 (16) | −0.0042 (19) | 0.000 (2) |
| C17 | 0.040 (3) | 0.028 (2) | 0.042 (3) | 0.0017 (19) | −0.003 (2) | 0.005 (2) |
| C18 | 0.056 (3) | 0.035 (3) | 0.043 (3) | 0.002 (2) | 0.002 (2) | 0.011 (2) |
| C19 | 0.069 (4) | 0.028 (2) | 0.051 (3) | 0.003 (2) | −0.020 (3) | 0.008 (2) |
| C20 | 0.043 (3) | 0.027 (2) | 0.058 (3) | 0.005 (2) | −0.015 (3) | −0.005 (2) |
| C21 | 0.026 (2) | 0.022 (2) | 0.027 (2) | −0.0015 (16) | 0.0001 (18) | −0.0026 (18) |
| C22 | 0.023 (2) | 0.034 (2) | 0.026 (2) | 0.0006 (17) | −0.0042 (18) | −0.001 (2) |
| C23 | 0.039 (3) | 0.044 (3) | 0.030 (3) | −0.010 (2) | 0.000 (2) | 0.006 (2) |
| C24 | 0.026 (2) | 0.036 (2) | 0.032 (3) | 0.0001 (17) | 0.0076 (19) | −0.002 (2) |
| C25 | 0.030 (2) | 0.025 (2) | 0.029 (2) | 0.0056 (17) | 0.0039 (19) | 0.003 (2) |
| C26 | 0.032 (2) | 0.053 (3) | 0.046 (3) | −0.011 (2) | 0.002 (2) | −0.007 (3) |
Geometric parameters (Å, °) top
| O1—C2 | 1.388 (3) | C11—C16 | 1.3900 |
| O1—C21 | 1.420 (5) | C12—C13 | 1.3900 |
| O2—C22 | 1.213 (5) | C13—C14 | 1.3900 |
| O3—C22 | 1.321 (5) | C13—H13 | 0.9500 |
| O3—C23 | 1.464 (5) | C14—C15 | 1.3900 |
| O4—C12 | 1.388 (3) | C14—H14 | 0.9500 |
| O4—C24 | 1.428 (5) | C15—C16 | 1.3900 |
| O5—C25 | 1.330 (5) | C15—C20 | 1.3900 |
| O5—C26 | 1.456 (5) | C16—C17 | 1.3900 |
| O6—C25 | 1.199 (5) | C17—C18 | 1.3900 |
| C1—C2 | 1.3900 | C17—H17 | 0.9500 |
| C1—C6 | 1.3900 | C18—C19 | 1.3900 |
| C2—C3 | 1.3900 | C18—H18 | 0.9500 |
| C3—C4 | 1.3900 | C19—C20 | 1.3900 |
| C3—H3 | 0.9500 | C19—H19 | 0.9500 |
| C4—C5 | 1.3900 | C20—H20 | 0.9500 |
| C4—H4 | 0.9500 | C21—C22 | 1.511 (6) |
| C5—C6 | 1.3900 | C21—H21A | 0.9900 |
| C5—C10 | 1.3900 | C21—H21B | 0.9900 |
| C6—C7 | 1.3900 | C23—H23A | 0.9800 |
| C7—C8 | 1.3900 | C23—H23B | 0.9800 |
| C7—H7 | 0.9500 | C23—H23C | 0.9800 |
| C8—C9 | 1.3900 | C24—C25 | 1.511 (6) |
| C8—H8 | 0.9500 | C24—H24A | 0.9900 |
| C9—C10 | 1.3900 | C24—H24B | 0.9900 |
| C9—H9 | 0.9500 | C26—H26A | 0.9800 |
| C10—H10 | 0.9500 | C26—H26B | 0.9800 |
| C11—C12 | 1.3900 | C26—H26C | 0.9800 |
| | | |
| C2—O1—C21 | 118.3 (2) | C17—C16—C15 | 120.0 |
| C22—O3—C23 | 116.5 (3) | C17—C16—C11 | 120.0 |
| C12—O4—C24 | 117.8 (3) | C15—C16—C11 | 120.0 |
| C25—O5—C26 | 115.2 (3) | C16—C17—C18 | 120.0 |
| C2—C1—C6 | 120.0 | C16—C17—H17 | 120.0 |
| O1—C2—C1 | 117.57 (16) | C18—C17—H17 | 120.0 |
| O1—C2—C3 | 122.06 (16) | C19—C18—C17 | 120.0 |
| C1—C2—C3 | 120.0 | C19—C18—H18 | 120.0 |
| C4—C3—C2 | 120.0 | C17—C18—H18 | 120.0 |
| C4—C3—H3 | 120.0 | C18—C19—C20 | 120.0 |
| C2—C3—H3 | 120.0 | C18—C19—H19 | 120.0 |
| C3—C4—C5 | 120.0 | C20—C19—H19 | 120.0 |
| C3—C4—H4 | 120.0 | C19—C20—C15 | 120.0 |
| C5—C4—H4 | 120.0 | C19—C20—H20 | 120.0 |
| C6—C5—C4 | 120.0 | C15—C20—H20 | 120.0 |
| C6—C5—C10 | 120.0 | O1—C21—C22 | 114.4 (3) |
| C4—C5—C10 | 120.0 | O1—C21—H21A | 108.7 |
| C7—C6—C5 | 120.0 | C22—C21—H21A | 108.7 |
| C7—C6—C1 | 120.0 | O1—C21—H21B | 108.7 |
| C5—C6—C1 | 120.0 | C22—C21—H21B | 108.7 |
| C8—C7—C6 | 120.0 | H21A—C21—H21B | 107.6 |
| C8—C7—H7 | 120.0 | O2—C22—O3 | 124.9 (4) |
| C6—C7—H7 | 120.0 | O2—C22—C21 | 122.4 (4) |
| C7—C8—C9 | 120.0 | O3—C22—C21 | 112.6 (3) |
| C7—C8—H8 | 120.0 | O3—C23—H23A | 109.5 |
| C9—C8—H8 | 120.0 | O3—C23—H23B | 109.5 |
| C10—C9—C8 | 120.0 | H23A—C23—H23B | 109.5 |
| C10—C9—H9 | 120.0 | O3—C23—H23C | 109.5 |
| C8—C9—H9 | 120.0 | H23A—C23—H23C | 109.5 |
| C9—C10—C5 | 120.0 | H23B—C23—H23C | 109.5 |
| C9—C10—H10 | 120.0 | O4—C24—C25 | 110.9 (4) |
| C5—C10—H10 | 120.0 | O4—C24—H24A | 109.5 |
| C12—C11—C16 | 120.0 | C25—C24—H24A | 109.5 |
| O4—C12—C13 | 123.01 (16) | O4—C24—H24B | 109.5 |
| O4—C12—C11 | 116.98 (16) | C25—C24—H24B | 109.5 |
| C13—C12—C11 | 120.0 | H24A—C24—H24B | 108.0 |
| C12—C13—C14 | 120.0 | O6—C25—O5 | 124.9 (4) |
| C12—C13—H13 | 120.0 | O6—C25—C24 | 125.3 (4) |
| C14—C13—H13 | 120.0 | O5—C25—C24 | 109.8 (4) |
| C15—C14—C13 | 120.0 | O5—C26—H26A | 109.5 |
| C15—C14—H14 | 120.0 | O5—C26—H26B | 109.5 |
| C13—C14—H14 | 120.0 | H26A—C26—H26B | 109.5 |
| C14—C15—C16 | 120.0 | O5—C26—H26C | 109.5 |
| C14—C15—C20 | 120.0 | H26A—C26—H26C | 109.5 |
| C16—C15—C20 | 120.0 | H26B—C26—H26C | 109.5 |
| | | |
| C21—O1—C2—C1 | −161.7 (2) | C11—C12—C13—C14 | 0.0 |
| C21—O1—C2—C3 | 25.3 (4) | C12—C13—C14—C15 | 0.0 |
| C6—C1—C2—O1 | −173.2 (2) | C13—C14—C15—C16 | 0.0 |
| C6—C1—C2—C3 | 0.0 | C13—C14—C15—C20 | 180.0 |
| O1—C2—C3—C4 | 172.9 (2) | C14—C15—C16—C17 | 180.0 |
| C1—C2—C3—C4 | 0.0 | C20—C15—C16—C17 | 0.0 |
| C2—C3—C4—C5 | 0.0 | C14—C15—C16—C11 | 0.0 |
| C3—C4—C5—C6 | 0.0 | C20—C15—C16—C11 | 180.0 |
| C3—C4—C5—C10 | 180.0 | C12—C11—C16—C17 | 180.0 |
| C4—C5—C6—C7 | 180.0 | C12—C11—C16—C15 | 0.0 |
| C10—C5—C6—C7 | 0.0 | C15—C16—C17—C18 | 0.0 |
| C4—C5—C6—C1 | 0.0 | C11—C16—C17—C18 | 180.0 |
| C10—C5—C6—C1 | 180.0 | C16—C17—C18—C19 | 0.0 |
| C2—C1—C6—C7 | 180.0 | C17—C18—C19—C20 | 0.0 |
| C2—C1—C6—C5 | 0.0 | C18—C19—C20—C15 | 0.0 |
| C5—C6—C7—C8 | 0.0 | C14—C15—C20—C19 | 180.0 |
| C1—C6—C7—C8 | 180.0 | C16—C15—C20—C19 | 0.0 |
| C6—C7—C8—C9 | 0.0 | C2—O1—C21—C22 | 68.8 (4) |
| C7—C8—C9—C10 | 0.0 | C23—O3—C22—O2 | −3.5 (6) |
| C8—C9—C10—C5 | 0.0 | C23—O3—C22—C21 | 174.1 (3) |
| C6—C5—C10—C9 | 0.0 | O1—C21—C22—O2 | −170.2 (4) |
| C4—C5—C10—C9 | 180.0 | O1—C21—C22—O3 | 12.1 (5) |
| C24—O4—C12—C13 | −7.6 (4) | C12—O4—C24—C25 | −64.1 (4) |
| C24—O4—C12—C11 | 173.8 (2) | C26—O5—C25—O6 | 1.1 (6) |
| C16—C11—C12—O4 | 178.6 (2) | C26—O5—C25—C24 | −178.8 (4) |
| C16—C11—C12—C13 | 0.0 | O4—C24—C25—O6 | −24.5 (6) |
| O4—C12—C13—C14 | −178.5 (2) | O4—C24—C25—O5 | 155.4 (3) |
Hydrogen-bond geometry (Å, °) top
| D—H···A | D—H | H···A | D···A | D—H···A |
| C3—H3···O6i | 0.95 | 2.38 | 3.330 (3) | 174 |
| C21—H21A···O6i | 0.99 | 2.48 | 3.326 (5) | 143 |
| C26—H26B···O1ii | 0.98 | 2.46 | 3.338 (6) | 149 |
| Symmetry codes: (i) −x+1, −y+1, −z+1; (ii) −x+3/2, y, z−1/2. |
Table 1
Hydrogen-bond geometry (Å, °) top
| D—H···A | D—H | H···A | D···A | D—H···A |
| C3—H3···O6i | 0.95 | 2.38 | 3.330 (3) | 174 |
| C21—H21A···O6i | 0.99 | 2.48 | 3.326 (5) | 143 |
| C26—H26B···O1ii | 0.98 | 2.46 | 3.338 (6) | 149 |
| Symmetry codes: (i) −x+1, −y+1, −z+1; (ii) −x+3/2, y, z−1/2. |
We thank the Higher Education Commission of Pakistan and the University of
Malaya for supporting this study.
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