organic compounds
1-(4,5-Dinitro-10-azatricyclo[6.3.1.02,7]dodeca-2,4,6-trien-10-yl)-2,2,2-trifluoroethanone
aCollege of Science, Nanjing University of Technolgy, Xinmofan Road No.5, Nanjing 210009, People's Republic of China
*Correspondence e-mail: cnjyc@sohu.com
In the title compound, C13H10F3N3O5, a derivative of andrographolide, the five-membered ring adopts an while the non-planar six-membered ring has a chair conformation. An intramolecular C—H⋯F hydrogen bond results in the formation of a non-planar six-membered ring adopting a twisted conformation. In the intermolecular C—H⋯O hydrogen bonds link the molecules into centrosymmetric dimers.
Related literature
For bond-length data, see: Allen et al. (1987). For ring puckering parameters, see: Cremer & Pople (1975).
Experimental
Crystal data
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Refinement
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Data collection: CAD-4 Software (Enraf–Nonius, 1989); cell CAD-4 Software; data reduction: XCAD4 (Harms & Wocadlo, 1995); program(s) used to solve structure: SHELXS97 (Sheldrick, 2008); program(s) used to refine structure: SHELXL97 (Sheldrick, 2008); molecular graphics: SHELXTL (Sheldrick, 2008) and PLATON (Spek, 2003); software used to prepare material for publication: SHELXTL.
Supporting information
10.1107/S1600536808028158/hk2521sup1.cif
contains datablocks global, I. DOI:Structure factors: contains datablock I. DOI: 10.1107/S1600536808028158/hk2521Isup2.hkl
For the preparation of the title compound, 1-(4,5-diamino-10-aza-tricyclo- [6.3.1.0]dodeca-2,4,6-trien-10-yl)-2,2,2-trifluoro-ethanone (3.0 g) was hydrogenated in methanol (30 ml, 95%) under hydrogen (45 psi) over Pd-carbon catalysts (300 mg of 20wt%/C,10%wt). After 2.5 h, the reaction was filtered through a celite pad and rinsed with methanol (30 ml, 95%). The solution was concentrated to a light brown oil that crystallized. An X-ray grade crystal of the title compound (500 mg) was grown from ethyl acetate (10 ml) at room temperature.
H atoms were positioned geometrically, with C—H = 0.93, 0.98 and 0.97 Å for aromatic, methine and methylene H, respectively, and constrained to ride on their parent atoms with Uiso(H) = 1.2Ueq(C).
Data collection: CAD-4 Software (Enraf–Nonius, 1989); cell
CAD-4 Software (Enraf–Nonius, 1989); data reduction: XCAD4 (Harms & Wocadlo, 1995); program(s) used to solve structure: SHELXS97 (Sheldrick, 2008); program(s) used to refine structure: SHELXL97 (Sheldrick, 2008); molecular graphics: SHELXTL (Sheldrick, 2008) and PLATON (Spek, 2003); software used to prepare material for publication: SHELXTL (Sheldrick, 2008).C13H10F3N3O5 | F(000) = 704 |
Mr = 345.24 | Dx = 1.656 Mg m−3 |
Monoclinic, P21/c | Mo Kα radiation, λ = 0.71073 Å |
Hall symbol: -P 2ybc | Cell parameters from 25 reflections |
a = 9.6400 (19) Å | θ = 10–13° |
b = 7.7430 (15) Å | µ = 0.15 mm−1 |
c = 18.687 (4) Å | T = 294 K |
β = 96.98 (3)° | Red, colorless |
V = 1384.5 (5) Å3 | 0.30 × 0.20 × 0.10 mm |
Z = 4 |
Enraf–Nonius CAD-4 diffractometer | 1592 reflections with I > 2σ(I) |
Radiation source: fine-focus sealed tube | Rint = 0.052 |
Graphite monochromator | θmax = 25.3°, θmin = 2.1° |
ω/2θ scans | h = −11→11 |
Absorption correction: ψ scan (North et al., 1968) | k = 0→9 |
Tmin = 0.955, Tmax = 0.985 | l = 0→22 |
2673 measured reflections | 3 standard reflections every 120 min |
2513 independent reflections | intensity decay: none |
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)] = 0.061 | Hydrogen site location: inferred from neighbouring sites |
wR(F2) = 0.183 | H-atom parameters constrained |
S = 1.02 | w = 1/[σ2(Fo2) + (0.05P)2 + 4P] where P = (Fo2 + 2Fc2)/3 |
2513 reflections | (Δ/σ)max < 0.001 |
217 parameters | Δρmax = 0.33 e Å−3 |
0 restraints | Δρmin = −0.35 e Å−3 |
C13H10F3N3O5 | V = 1384.5 (5) Å3 |
Mr = 345.24 | Z = 4 |
Monoclinic, P21/c | Mo Kα radiation |
a = 9.6400 (19) Å | µ = 0.15 mm−1 |
b = 7.7430 (15) Å | T = 294 K |
c = 18.687 (4) Å | 0.30 × 0.20 × 0.10 mm |
β = 96.98 (3)° |
Enraf–Nonius CAD-4 diffractometer | 1592 reflections with I > 2σ(I) |
Absorption correction: ψ scan (North et al., 1968) | Rint = 0.052 |
Tmin = 0.955, Tmax = 0.985 | 3 standard reflections every 120 min |
2673 measured reflections | intensity decay: none |
2513 independent reflections |
R[F2 > 2σ(F2)] = 0.061 | 0 restraints |
wR(F2) = 0.183 | H-atom parameters constrained |
S = 1.02 | Δρmax = 0.33 e Å−3 |
2513 reflections | Δρmin = −0.35 e Å−3 |
217 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 > σ(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 | ||
F1 | 0.3302 (4) | 0.7803 (5) | 0.23330 (19) | 0.1036 (13) | |
F2 | 0.1596 (3) | 0.6268 (5) | 0.25814 (17) | 0.0907 (12) | |
F3 | 0.3030 (3) | 0.5239 (4) | 0.19179 (13) | 0.0702 (9) | |
O1 | 0.4775 (4) | 0.6527 (5) | 0.34298 (19) | 0.0681 (10) | |
O2 | 0.1222 (4) | 0.4522 (5) | 0.6478 (2) | 0.0812 (12) | |
O3 | 0.0247 (4) | 0.2030 (5) | 0.65267 (18) | 0.0733 (11) | |
O4 | −0.2298 (3) | 0.1740 (6) | 0.4660 (2) | 0.0772 (12) | |
O5 | −0.1736 (4) | 0.3629 (5) | 0.5498 (2) | 0.0749 (11) | |
N1 | 0.3630 (3) | 0.3999 (5) | 0.34108 (16) | 0.0398 (8) | |
N2 | 0.0824 (4) | 0.3155 (6) | 0.6213 (2) | 0.0512 (10) | |
N3 | −0.1427 (4) | 0.2615 (5) | 0.5031 (2) | 0.0532 (10) | |
C1 | 0.2916 (5) | 0.6217 (7) | 0.2505 (2) | 0.0557 (12) | |
C2 | 0.3865 (4) | 0.5564 (6) | 0.3165 (2) | 0.0446 (10) | |
C3 | 0.4621 (4) | 0.3471 (7) | 0.4042 (2) | 0.0486 (11) | |
H3A | 0.4714 | 0.4406 | 0.4390 | 0.058* | |
H3B | 0.5532 | 0.3272 | 0.3887 | 0.058* | |
C4 | 0.4159 (4) | 0.1853 (6) | 0.4403 (2) | 0.0442 (10) | |
H4A | 0.4872 | 0.1443 | 0.4784 | 0.053* | |
C5 | 0.3737 (5) | 0.0456 (7) | 0.3846 (3) | 0.0569 (12) | |
H5A | 0.3600 | −0.0649 | 0.4072 | 0.068* | |
H5B | 0.4419 | 0.0331 | 0.3509 | 0.068* | |
C6 | 0.2364 (4) | 0.1203 (6) | 0.3485 (2) | 0.0476 (11) | |
H6A | 0.1799 | 0.0323 | 0.3208 | 0.057* | |
C7 | 0.2679 (5) | 0.2734 (7) | 0.3008 (2) | 0.0524 (12) | |
H7A | 0.3105 | 0.2310 | 0.2598 | 0.063* | |
H7B | 0.1811 | 0.3304 | 0.2827 | 0.063* | |
C8 | 0.2766 (4) | 0.2163 (5) | 0.4683 (2) | 0.0393 (9) | |
C9 | 0.2468 (4) | 0.2693 (5) | 0.5352 (2) | 0.0398 (10) | |
H9A | 0.3181 | 0.2968 | 0.5715 | 0.048* | |
C10 | 0.1095 (4) | 0.2805 (5) | 0.5470 (2) | 0.0391 (9) | |
C11 | 0.0006 (4) | 0.2439 (5) | 0.4922 (2) | 0.0381 (9) | |
C12 | 0.0337 (4) | 0.1944 (6) | 0.4239 (2) | 0.0417 (10) | |
H12A | −0.0365 | 0.1737 | 0.3861 | 0.050* | |
C13 | 0.1695 (4) | 0.1778 (5) | 0.4143 (2) | 0.0418 (10) |
U11 | U22 | U33 | U12 | U13 | U23 | |
F1 | 0.150 (3) | 0.070 (2) | 0.083 (2) | 0.000 (2) | −0.017 (2) | 0.0327 (19) |
F2 | 0.0614 (19) | 0.134 (3) | 0.076 (2) | 0.042 (2) | 0.0060 (15) | 0.020 (2) |
F3 | 0.0736 (19) | 0.102 (2) | 0.0356 (14) | 0.0003 (17) | 0.0089 (12) | −0.0006 (15) |
O1 | 0.072 (2) | 0.053 (2) | 0.074 (2) | −0.0176 (19) | −0.0145 (18) | 0.0037 (18) |
O2 | 0.100 (3) | 0.075 (3) | 0.068 (2) | −0.011 (2) | 0.005 (2) | −0.030 (2) |
O3 | 0.095 (3) | 0.076 (3) | 0.056 (2) | −0.005 (2) | 0.0403 (19) | 0.009 (2) |
O4 | 0.0338 (17) | 0.108 (3) | 0.087 (3) | −0.016 (2) | −0.0066 (17) | −0.001 (2) |
O5 | 0.054 (2) | 0.078 (3) | 0.098 (3) | 0.0127 (19) | 0.029 (2) | −0.007 (2) |
N1 | 0.0348 (17) | 0.053 (2) | 0.0291 (16) | −0.0060 (16) | −0.0073 (13) | −0.0019 (15) |
N2 | 0.050 (2) | 0.056 (3) | 0.045 (2) | 0.007 (2) | −0.0007 (17) | −0.003 (2) |
N3 | 0.043 (2) | 0.055 (3) | 0.060 (2) | 0.0015 (19) | 0.0023 (19) | 0.018 (2) |
C1 | 0.054 (3) | 0.067 (3) | 0.046 (3) | 0.004 (3) | 0.008 (2) | 0.014 (2) |
C2 | 0.045 (2) | 0.051 (3) | 0.039 (2) | 0.002 (2) | 0.0101 (18) | 0.007 (2) |
C3 | 0.033 (2) | 0.069 (3) | 0.042 (2) | −0.007 (2) | −0.0008 (17) | 0.009 (2) |
C4 | 0.033 (2) | 0.058 (3) | 0.042 (2) | 0.007 (2) | 0.0055 (17) | 0.010 (2) |
C5 | 0.061 (3) | 0.052 (3) | 0.063 (3) | 0.004 (2) | 0.027 (2) | 0.003 (2) |
C6 | 0.049 (2) | 0.053 (3) | 0.041 (2) | −0.013 (2) | 0.0063 (19) | −0.007 (2) |
C7 | 0.053 (3) | 0.071 (3) | 0.033 (2) | −0.016 (2) | 0.0025 (19) | −0.009 (2) |
C8 | 0.041 (2) | 0.038 (2) | 0.037 (2) | 0.0014 (18) | −0.0044 (17) | 0.0045 (18) |
C9 | 0.036 (2) | 0.045 (2) | 0.034 (2) | −0.0047 (19) | −0.0095 (16) | 0.0003 (18) |
C10 | 0.041 (2) | 0.039 (2) | 0.035 (2) | −0.0009 (18) | −0.0026 (17) | 0.0051 (18) |
C11 | 0.0318 (19) | 0.038 (2) | 0.042 (2) | 0.0017 (17) | −0.0023 (16) | 0.0104 (18) |
C12 | 0.038 (2) | 0.045 (3) | 0.039 (2) | −0.0061 (19) | −0.0050 (17) | 0.0008 (19) |
C13 | 0.047 (2) | 0.039 (2) | 0.038 (2) | −0.0066 (19) | −0.0014 (18) | 0.0015 (19) |
F1—C1 | 1.334 (6) | C4—C5 | 1.521 (6) |
F2—C1 | 1.298 (5) | C4—H4A | 0.9800 |
F3—C1 | 1.348 (6) | C5—C6 | 1.525 (6) |
O1—C2 | 1.210 (5) | C5—H5A | 0.9700 |
O2—N2 | 1.211 (5) | C5—H5B | 0.9700 |
O3—N2 | 1.221 (5) | C6—C13 | 1.523 (6) |
O4—N3 | 1.227 (5) | C6—C7 | 1.535 (6) |
O5—N3 | 1.236 (5) | C6—H6A | 0.9800 |
N1—C2 | 1.325 (6) | C7—H7A | 0.9700 |
N1—C3 | 1.482 (5) | C7—H7B | 0.9700 |
N1—C7 | 1.483 (5) | C8—C9 | 1.379 (6) |
N2—C10 | 1.470 (5) | C8—C13 | 1.385 (5) |
N3—C11 | 1.427 (5) | C9—C10 | 1.370 (5) |
C1—C2 | 1.530 (6) | C9—H9A | 0.9300 |
C3—C4 | 1.516 (6) | C10—C11 | 1.403 (5) |
C3—H3A | 0.9700 | C11—C12 | 1.407 (6) |
C3—H3B | 0.9700 | C12—C13 | 1.349 (6) |
C4—C8 | 1.519 (5) | C12—H12A | 0.9300 |
C2—N1—C3 | 114.0 (3) | C4—C5—H5B | 111.7 |
C2—N1—C7 | 123.4 (3) | C6—C5—H5B | 111.7 |
C3—N1—C7 | 121.4 (4) | H5A—C5—H5B | 109.5 |
O2—N2—O3 | 124.6 (4) | C13—C6—C5 | 100.5 (3) |
O2—N2—C10 | 117.6 (4) | C13—C6—C7 | 112.1 (4) |
O3—N2—C10 | 117.8 (4) | C5—C6—C7 | 109.1 (4) |
O4—N3—O5 | 122.9 (4) | C13—C6—H6A | 111.5 |
O4—N3—C11 | 118.3 (4) | C5—C6—H6A | 111.5 |
O5—N3—C11 | 118.8 (4) | C7—C6—H6A | 111.5 |
F2—C1—F1 | 107.7 (4) | N1—C7—C6 | 111.6 (3) |
F2—C1—F3 | 106.5 (4) | N1—C7—H7A | 109.3 |
F1—C1—F3 | 105.6 (4) | C6—C7—H7A | 109.3 |
F2—C1—C2 | 114.8 (4) | N1—C7—H7B | 109.3 |
F1—C1—C2 | 110.0 (4) | C6—C7—H7B | 109.3 |
F3—C1—C2 | 111.8 (4) | H7A—C7—H7B | 108.0 |
O1—C2—N1 | 124.6 (4) | C9—C8—C13 | 120.4 (4) |
O1—C2—C1 | 117.3 (4) | C9—C8—C4 | 130.6 (4) |
N1—C2—C1 | 118.1 (4) | C13—C8—C4 | 109.1 (4) |
N1—C3—C4 | 112.7 (3) | C10—C9—C8 | 118.4 (3) |
N1—C3—H3A | 109.0 | C10—C9—H9A | 120.8 |
C4—C3—H3A | 109.0 | C8—C9—H9A | 120.8 |
N1—C3—H3B | 109.0 | C9—C10—C11 | 121.5 (4) |
C4—C3—H3B | 109.0 | C9—C10—N2 | 116.7 (3) |
H3A—C3—H3B | 107.8 | C11—C10—N2 | 121.6 (4) |
C3—C4—C8 | 110.0 (4) | C10—C11—C12 | 119.0 (4) |
C3—C4—C5 | 110.6 (3) | C10—C11—N3 | 121.9 (4) |
C8—C4—C5 | 100.0 (3) | C12—C11—N3 | 119.0 (4) |
C3—C4—H4A | 111.9 | C13—C12—C11 | 118.4 (4) |
C8—C4—H4A | 111.9 | C13—C12—H12A | 120.8 |
C5—C4—H4A | 111.9 | C11—C12—H12A | 120.8 |
C4—C5—C6 | 100.3 (4) | C12—C13—C8 | 122.2 (4) |
C4—C5—H5A | 111.7 | C12—C13—C6 | 130.3 (4) |
C6—C5—H5A | 111.7 | C8—C13—C6 | 107.5 (4) |
C3—N1—C2—O1 | −1.8 (6) | C4—C8—C9—C10 | −177.4 (4) |
C7—N1—C2—O1 | −169.0 (4) | C8—C9—C10—C11 | −1.7 (6) |
C3—N1—C2—C1 | 178.8 (4) | C8—C9—C10—N2 | 172.3 (4) |
C7—N1—C2—C1 | 11.6 (6) | O2—N2—C10—C9 | 63.6 (5) |
F2—C1—C2—O1 | −121.0 (5) | O3—N2—C10—C9 | −114.5 (5) |
F1—C1—C2—O1 | 0.6 (6) | O2—N2—C10—C11 | −122.3 (5) |
F3—C1—C2—O1 | 117.5 (5) | O3—N2—C10—C11 | 59.5 (6) |
F2—C1—C2—N1 | 58.5 (6) | C9—C10—C11—C12 | 0.1 (6) |
F1—C1—C2—N1 | −179.9 (4) | N2—C10—C11—C12 | −173.6 (4) |
F3—C1—C2—N1 | −63.0 (5) | C9—C10—C11—N3 | −177.6 (4) |
C2—N1—C3—C4 | 168.3 (4) | N2—C10—C11—N3 | 8.7 (6) |
C7—N1—C3—C4 | −24.2 (5) | O4—N3—C11—C10 | −154.4 (4) |
N1—C3—C4—C8 | −61.6 (5) | O5—N3—C11—C10 | 25.1 (6) |
N1—C3—C4—C5 | 48.0 (5) | O4—N3—C11—C12 | 28.0 (6) |
C3—C4—C5—C6 | −71.8 (4) | O5—N3—C11—C12 | −152.6 (4) |
C8—C4—C5—C6 | 44.2 (4) | C10—C11—C12—C13 | 2.4 (6) |
C4—C5—C6—C13 | −44.6 (4) | N3—C11—C12—C13 | −179.8 (4) |
C4—C5—C6—C7 | 73.4 (4) | C11—C12—C13—C8 | −3.4 (6) |
C2—N1—C7—C6 | −167.6 (4) | C11—C12—C13—C6 | 177.3 (4) |
C3—N1—C7—C6 | 26.0 (5) | C9—C8—C13—C12 | 1.8 (7) |
C13—C6—C7—N1 | 58.8 (5) | C4—C8—C13—C12 | −179.6 (4) |
C5—C6—C7—N1 | −51.7 (5) | C9—C8—C13—C6 | −178.8 (4) |
C3—C4—C8—C9 | −93.2 (5) | C4—C8—C13—C6 | −0.2 (5) |
C5—C4—C8—C9 | 150.4 (5) | C5—C6—C13—C12 | −152.3 (5) |
C3—C4—C8—C13 | 88.4 (4) | C7—C6—C13—C12 | 91.9 (5) |
C5—C4—C8—C13 | −28.0 (4) | C5—C6—C13—C8 | 28.3 (5) |
C13—C8—C9—C10 | 0.8 (6) | C7—C6—C13—C8 | −87.5 (4) |
D—H···A | D—H | H···A | D···A | D—H···A |
C7—H7B···F2 | 0.97 | 2.34 | 3.002 (6) | 124 |
C9—H9A···O1i | 0.93 | 2.41 | 3.338 (5) | 173 |
Symmetry code: (i) −x+1, −y+1, −z+1. |
Experimental details
Crystal data | |
Chemical formula | C13H10F3N3O5 |
Mr | 345.24 |
Crystal system, space group | Monoclinic, P21/c |
Temperature (K) | 294 |
a, b, c (Å) | 9.6400 (19), 7.7430 (15), 18.687 (4) |
β (°) | 96.98 (3) |
V (Å3) | 1384.5 (5) |
Z | 4 |
Radiation type | Mo Kα |
µ (mm−1) | 0.15 |
Crystal size (mm) | 0.30 × 0.20 × 0.10 |
Data collection | |
Diffractometer | Enraf–Nonius CAD-4 diffractometer |
Absorption correction | ψ scan (North et al., 1968) |
Tmin, Tmax | 0.955, 0.985 |
No. of measured, independent and observed [I > 2σ(I)] reflections | 2673, 2513, 1592 |
Rint | 0.052 |
(sin θ/λ)max (Å−1) | 0.601 |
Refinement | |
R[F2 > 2σ(F2)], wR(F2), S | 0.061, 0.183, 1.02 |
No. of reflections | 2513 |
No. of parameters | 217 |
H-atom treatment | H-atom parameters constrained |
Δρmax, Δρmin (e Å−3) | 0.33, −0.35 |
Computer programs: CAD-4 Software (Enraf–Nonius, 1989), XCAD4 (Harms & Wocadlo, 1995), SHELXS97 (Sheldrick, 2008), SHELXL97 (Sheldrick, 2008), SHELXTL (Sheldrick, 2008) and PLATON (Spek, 2003), SHELXTL (Sheldrick, 2008).
D—H···A | D—H | H···A | D···A | D—H···A |
C7—H7B···F2 | 0.97 | 2.34 | 3.002 (6) | 124.00 |
C9—H9A···O1i | 0.93 | 2.41 | 3.338 (5) | 173.00 |
Symmetry code: (i) −x+1, −y+1, −z+1. |
Acknowledgements
The authors thank the Center for Testing and Analysis, Nanjing University, for support.
References
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Cremer, D. & Pople, J. A. (1975). J. Am. Chem. Soc. 97, 1354–1358. CrossRef CAS Web of Science Google Scholar
Enraf–Nonius (1989). CAD-4 Software. Enraf–Nonius, Delft, The Netherlands. Google Scholar
Harms, K. & Wocadlo, S. (1995). XCAD4. University of Marburg, Germany. Google Scholar
North, A. C. T., Phillips, D. C. & Mathews, F. S. (1968). Acta Cryst. A24, 351–359. CrossRef IUCr Journals Web of Science Google Scholar
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Some derivatives of andrographolide are important chemical materials. We report herein the crystal structure of the title compound.
In the molecule of the title compound, (Fig. 1), the bond lengths (Allen et al., 1987) and angles are generally within normal ranges. Ring A (C8–C13) is, of course, planar. Ring B (N1/C3–C7) is not planar, having total puckering amplitude, QT, of 0.626 (3) and chair conformation [ϕ = -175.64 (3)° and θ = 36.12 (3)°] (Cremer & Pople, 1975), while ring C (C4–C6/C8/C13) adopts envelope conformation, with C5 atom displaced by -0.707 (3) Å from the plane of the other ring atoms. The intramolecular C—H···F hydrogen bond (Table 1) results in the formation of a nonplanar six-membered ring D (F2/C1/C2/N1/C7/H7B), having total puckering amplitude, QT, of 0.651 (3) and twisted conformation [ϕ = 34.96 (3)° and θ = 76.80 (2)°] (Cremer & Pople, 1975)
In the crystal structure, intermolecular C—H···O hydrogen bonds (Table 1) link the molecules into centrosymmetric dimers (Fig. 2), in which they may be effective in the stabilization of the structure.