organic compounds
1,4-Bis[2-(2-pyridyl)-1H-imidazol-1-yl]butane
aBiological Scientific and Technical College, Changchun University, Changchun 130022, People's Republic of China, and bDepartment of Chemistry, Northeast Normal University, Changchun 130024, People's Republic of China
*Correspondence e-mail: lishunli@yahoo.cn
The title compound, C20H20N6, was isolated from dimethyl sulfoxide solution using 2-(1H-imidazol-2-yl)pyridine and 1,4-dichlorobutane in the presence of NaOH.
Related literature
For the coordination capabilities and catalytic properties of the metal complexes of N-heterocyclic precursors, see: Chiswell et al. (1964); Herrmann (2002); Herrmann & Kocher (1997). For metal complexes with N-donor ligands, see: Carlucci et al. (2005);
Experimental
Crystal data
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Data collection: SMART (Bruker, 1997); cell SAINT (Bruker, 1999; data reduction: SAINT; program(s) used to solve structure: SHELXS97 (Sheldrick, 2008); program(s) used to refine structure: SHELXL97 (Sheldrick, 2008); molecular graphics: SHELXTL-Plus (Sheldrick, 2008); software used to prepare material for publication: SHELXL97.
Supporting information
10.1107/S1600536808036775/wk2095sup1.cif
contains datablocks global, I. DOI:Structure factors: contains datablock I. DOI: 10.1107/S1600536808036775/wk2095Isup2.hkl
The predecessor 2-(2-pyridyl)imidazole was synthesized according to the literature (Chiswell et al., 1964). A mixture of 2-(2-pyridyl)imidazole (7.25 g, 50 mmol) and NaOH (2.00 g, 50 mmol) in DMSO (20 ml) was stirred at 60°Cfor 1 h, and the 1,4-dichlorobutane(3.18 g, 25 mmol) was added. The mixture was cooled to room temperature after stirring at 60°Cfor 24 h and then poured into 200 ml of water. A yellow solid formed immediately, which was isolated by filtration in 80% yield after drying in air. Crystals suitable for X-ray diffraction were isolated from 65% ethanol.
All H atoms on C atoms were poisitioned geometrically and refined as idea positions, with C—H = 0.93–0.97 Å, and Uiso=1.2 Ueq (C).
Data collection: SMART (Bruker, 1997); cell
SMART (Bruker, 1997); data reduction: SAINT (Bruker, 1999); program(s) used to solve structure: SHELXS97 (Sheldrick, 2008); program(s) used to refine structure: SHELXL97 (Sheldrick, 2008); molecular graphics: SHELXTL-Plus (Sheldrick, 2008); software used to prepare material for publication: SHELXL97 (Sheldrick, 2008).Fig. 1. A view of the molecule of (I). Displacement ellipsoids are drawn at the 30% probability level. |
C20H20N6 | F(000) = 728 |
Mr = 344.42 | Dx = 1.300 Mg m−3 |
Monoclinic, P21/c | Mo Kα radiation, λ = 0.71073 Å |
Hall symbol: -P 2ybc | Cell parameters from 795 reflections |
a = 11.0426 (10) Å | θ = 2.0–28.3° |
b = 13.4510 (12) Å | µ = 0.08 mm−1 |
c = 12.7081 (11) Å | T = 293 K |
β = 111.213 (2)° | Block, colorless |
V = 1759.7 (3) Å3 | 0.43 × 0.39 × 0.36 mm |
Z = 4 |
Bruker SMART APEX CCD area-detector diffractometer | 4139 independent reflections |
Radiation source: fine-focus sealed tube | 1705 reflections with I > 2σ(I) |
Graphite monochromator | Rint = 0.031 |
ω scans | θmax = 28.3°, θmin = 2.0° |
Absorption correction: multi-scan (SADABS; Sheldrick, 1996) | h = −14→7 |
Tmin = 0.938, Tmax = 0.966 | k = −17→17 |
10708 measured reflections | l = −14→16 |
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)] = 0.053 | Hydrogen site location: inferred from neighbouring sites |
wR(F2) = 0.125 | H-atom parameters constrained |
S = 1.03 | w = 1/[σ2(Fo2) + (0.04P)2] where P = (Fo2 + 2Fc2)/3 |
4139 reflections | (Δ/σ)max < 0.001 |
215 parameters | Δρmax = 0.49 e Å−3 |
1 restraint | Δρmin = −0.48 e Å−3 |
C20H20N6 | V = 1759.7 (3) Å3 |
Mr = 344.42 | Z = 4 |
Monoclinic, P21/c | Mo Kα radiation |
a = 11.0426 (10) Å | µ = 0.08 mm−1 |
b = 13.4510 (12) Å | T = 293 K |
c = 12.7081 (11) Å | 0.43 × 0.39 × 0.36 mm |
β = 111.213 (2)° |
Bruker SMART APEX CCD area-detector diffractometer | 4139 independent reflections |
Absorption correction: multi-scan (SADABS; Sheldrick, 1996) | 1705 reflections with I > 2σ(I) |
Tmin = 0.938, Tmax = 0.966 | Rint = 0.031 |
10708 measured reflections |
R[F2 > 2σ(F2)] = 0.053 | 1 restraint |
wR(F2) = 0.125 | H-atom parameters constrained |
S = 1.03 | Δρmax = 0.49 e Å−3 |
4139 reflections | Δρmin = −0.48 e Å−3 |
215 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 | ||
N1 | 0.34332 (12) | 0.07519 (9) | 0.63433 (12) | 0.0497 (5) | |
C1 | 0.39593 (14) | 0.06046 (10) | 0.75039 (11) | 0.0417 (6) | |
C2 | 0.46903 (15) | −0.02419 (12) | 0.79408 (9) | 0.0518 (7) | |
H2 | 0.5042 | −0.0341 | 0.8717 | 0.062* | |
C3 | 0.48952 (15) | −0.09411 (9) | 0.72171 (14) | 0.0624 (8) | |
H3 | 0.5384 | −0.1508 | 0.7509 | 0.075* | |
C4 | 0.43691 (16) | −0.07938 (11) | 0.60565 (13) | 0.0589 (7) | |
H4 | 0.4506 | −0.1262 | 0.5572 | 0.071* | |
C5 | 0.36382 (15) | 0.00527 (12) | 0.56196 (8) | 0.0590 (7) | |
H5 | 0.3286 | 0.0151 | 0.4843 | 0.071* | |
C6 | 0.37230 (15) | 0.13348 (10) | 0.81951 (12) | 0.0395 (6) | |
N3 | 0.43588 (14) | 0.13294 (11) | 0.93287 (12) | 0.0502 (5) | |
C7 | 0.39003 (16) | 0.20944 (13) | 0.97707 (11) | 0.0534 (7) | |
H7 | 0.4169 | 0.2262 | 1.0531 | 0.064* | |
C8 | 0.29810 (15) | 0.25725 (11) | 0.89103 (13) | 0.0488 (6) | |
H8 | 0.2508 | 0.3126 | 0.8976 | 0.059* | |
N4 | 0.28714 (14) | 0.21030 (11) | 0.79365 (11) | 0.0413 (5) | |
C9 | −0.1363 (2) | 0.11723 (18) | 0.21435 (19) | 0.0467 (6) | |
C10 | −0.1977 (3) | 0.0643 (2) | 0.1161 (2) | 0.0572 (7) | |
H10 | −0.2821 | 0.0804 | 0.0697 | 0.069* | |
C11 | −0.1323 (3) | −0.0127 (2) | 0.0876 (2) | 0.0694 (8) | |
H11 | −0.1715 | −0.0488 | 0.0215 | 0.083* | |
C12 | −0.0090 (3) | −0.03454 (19) | 0.1584 (2) | 0.0656 (8) | |
H12 | 0.0381 | −0.0852 | 0.1411 | 0.079* | |
C13 | 0.0436 (3) | 0.0197 (2) | 0.2550 (2) | 0.0633 (7) | |
H13 | 0.1268 | 0.0030 | 0.3036 | 0.076* | |
C14 | −0.2034 (2) | 0.20182 (19) | 0.24123 (19) | 0.0474 (6) | |
C15 | −0.2823 (2) | 0.3070 (2) | 0.3309 (2) | 0.0606 (7) | |
H15 | −0.3017 | 0.3407 | 0.3868 | 0.073* | |
C16 | −0.3281 (3) | 0.3272 (2) | 0.2197 (2) | 0.0679 (8) | |
H16 | −0.3850 | 0.3789 | 0.1863 | 0.081* | |
C17 | 0.2028 (2) | 0.24607 (16) | 0.68080 (17) | 0.0451 (6) | |
H17A | 0.2504 | 0.2412 | 0.6302 | 0.054* | |
H17B | 0.1837 | 0.3158 | 0.6866 | 0.054* | |
C18 | 0.0760 (2) | 0.19055 (17) | 0.62919 (17) | 0.0458 (6) | |
H18A | 0.0266 | 0.1950 | 0.6785 | 0.055* | |
H18B | 0.0932 | 0.1209 | 0.6205 | 0.055* | |
C19 | −0.0021 (2) | 0.23502 (17) | 0.51472 (17) | 0.0463 (6) | |
H19A | −0.0206 | 0.3041 | 0.5247 | 0.056* | |
H19B | 0.0499 | 0.2332 | 0.4674 | 0.056* | |
C20 | −0.1283 (2) | 0.18114 (18) | 0.45550 (17) | 0.0521 (7) | |
H20A | −0.1103 | 0.1121 | 0.4445 | 0.062* | |
H20B | −0.1807 | 0.1827 | 0.5025 | 0.062* | |
N2 | −0.0161 (2) | 0.09507 (15) | 0.28481 (16) | 0.0547 (6) | |
N5 | −0.20146 (18) | 0.22651 (15) | 0.34553 (15) | 0.0499 (5) | |
N6 | −0.2800 (2) | 0.26188 (17) | 0.16254 (16) | 0.0592 (6) |
U11 | U22 | U33 | U12 | U13 | U23 | |
N1 | 0.0433 (12) | 0.0591 (14) | 0.0435 (11) | 0.0011 (11) | 0.0120 (10) | 0.0039 (10) |
C1 | 0.0336 (14) | 0.0477 (16) | 0.0433 (14) | −0.0021 (12) | 0.0134 (11) | 0.0033 (12) |
C2 | 0.0542 (17) | 0.0541 (17) | 0.0480 (15) | 0.0130 (14) | 0.0197 (13) | 0.0063 (13) |
C3 | 0.0624 (19) | 0.0572 (18) | 0.0724 (19) | 0.0184 (15) | 0.0300 (16) | 0.0105 (15) |
C4 | 0.0576 (18) | 0.0644 (19) | 0.0600 (18) | 0.0036 (15) | 0.0275 (15) | −0.0020 (14) |
C5 | 0.0577 (18) | 0.072 (2) | 0.0489 (15) | −0.0003 (16) | 0.0212 (14) | −0.0070 (15) |
C6 | 0.0390 (14) | 0.0402 (15) | 0.0386 (14) | 0.0023 (12) | 0.0132 (12) | −0.0029 (11) |
N3 | 0.0484 (13) | 0.0572 (14) | 0.0408 (12) | 0.0002 (11) | 0.0113 (10) | 0.0023 (10) |
C7 | 0.0606 (18) | 0.0584 (17) | 0.0407 (14) | −0.0019 (15) | 0.0179 (14) | −0.0079 (13) |
C8 | 0.0547 (17) | 0.0471 (16) | 0.0462 (15) | 0.0000 (13) | 0.0202 (13) | −0.0054 (13) |
N4 | 0.0409 (12) | 0.0417 (12) | 0.0396 (11) | 0.0002 (10) | 0.0122 (10) | −0.0003 (9) |
C9 | 0.0460 (17) | 0.0529 (17) | 0.0424 (14) | −0.0080 (14) | 0.0174 (14) | 0.0021 (12) |
C10 | 0.0557 (18) | 0.0694 (19) | 0.0465 (16) | −0.0118 (16) | 0.0184 (14) | −0.0005 (14) |
C11 | 0.084 (2) | 0.067 (2) | 0.0632 (19) | −0.0193 (19) | 0.0340 (19) | −0.0153 (16) |
C12 | 0.077 (2) | 0.0563 (19) | 0.0702 (19) | −0.0037 (17) | 0.0342 (18) | −0.0105 (16) |
C13 | 0.0542 (18) | 0.0583 (18) | 0.0733 (19) | 0.0057 (16) | 0.0181 (16) | −0.0025 (15) |
C14 | 0.0381 (15) | 0.0605 (18) | 0.0423 (15) | −0.0038 (14) | 0.0128 (13) | −0.0029 (13) |
C15 | 0.0445 (16) | 0.077 (2) | 0.0548 (17) | 0.0102 (16) | 0.0115 (14) | −0.0114 (15) |
C16 | 0.0498 (18) | 0.081 (2) | 0.0626 (18) | 0.0179 (16) | 0.0081 (16) | 0.0013 (16) |
C17 | 0.0429 (15) | 0.0441 (15) | 0.0433 (13) | 0.0031 (13) | 0.0096 (12) | 0.0067 (11) |
C18 | 0.0421 (15) | 0.0497 (15) | 0.0438 (14) | 0.0013 (13) | 0.0132 (12) | 0.0046 (11) |
C19 | 0.0407 (14) | 0.0539 (16) | 0.0398 (13) | 0.0023 (13) | 0.0091 (12) | 0.0027 (12) |
C20 | 0.0454 (16) | 0.0670 (18) | 0.0435 (15) | −0.0044 (14) | 0.0157 (13) | −0.0002 (12) |
N2 | 0.0478 (14) | 0.0564 (14) | 0.0553 (13) | 0.0004 (12) | 0.0132 (12) | −0.0049 (11) |
N5 | 0.0387 (12) | 0.0689 (15) | 0.0376 (12) | 0.0013 (11) | 0.0085 (10) | −0.0021 (11) |
N6 | 0.0482 (14) | 0.0759 (17) | 0.0483 (13) | 0.0105 (13) | 0.0112 (12) | 0.0039 (12) |
N1—C1 | 1.3900 | C11—H11 | 0.9300 |
N1—C5 | 1.3900 | C12—C13 | 1.365 (3) |
C1—C2 | 1.3900 | C12—H12 | 0.9300 |
C1—C6 | 1.4036 | C13—N2 | 1.337 (3) |
C2—C3 | 1.3900 | C13—H13 | 0.9300 |
C2—H2 | 0.9300 | C14—N6 | 1.325 (3) |
C3—C4 | 1.3900 | C14—N5 | 1.359 (3) |
C3—H3 | 0.9300 | C15—C16 | 1.345 (3) |
C4—C5 | 1.3900 | C15—N5 | 1.372 (3) |
C4—H4 | 0.9300 | C15—H15 | 0.9300 |
C5—H5 | 0.9300 | C16—N6 | 1.364 (3) |
C6—N3 | 1.3551 | C16—H16 | 0.9300 |
C6—N4 | 1.3551 | C17—C18 | 1.511 (3) |
N3—C7 | 1.3551 | C17—H17A | 0.9700 |
C7—C8 | 1.3551 | C17—H17B | 0.9700 |
C7—H7 | 0.9300 | C18—C19 | 1.520 (3) |
C8—N4 | 1.3551 | C18—H18A | 0.9700 |
C8—H8 | 0.9300 | C18—H18B | 0.9700 |
N4—C17 | 1.480 (2) | C19—C20 | 1.509 (3) |
C9—N2 | 1.338 (3) | C19—H19A | 0.9700 |
C9—C10 | 1.383 (3) | C19—H19B | 0.9700 |
C9—C14 | 1.464 (3) | C20—N5 | 1.470 (3) |
C10—C11 | 1.385 (3) | C20—H20A | 0.9700 |
C10—H10 | 0.9300 | C20—H20B | 0.9700 |
C11—C12 | 1.365 (3) | ||
C1—N1—C5 | 120.0 | N2—C13—C12 | 124.6 (2) |
N1—C1—C2 | 120.0 | N2—C13—H13 | 117.7 |
N1—C1—C6 | 117.60 | C12—C13—H13 | 117.7 |
C2—C1—C6 | 122.40 | N6—C14—N5 | 111.6 (2) |
C1—C2—C3 | 120.0 | N6—C14—C9 | 122.5 (2) |
C1—C2—H2 | 120.0 | N5—C14—C9 | 125.9 (2) |
C3—C2—H2 | 120.0 | C16—C15—N5 | 106.3 (2) |
C4—C3—C2 | 120.0 | C16—C15—H15 | 126.9 |
C4—C3—H3 | 120.0 | N5—C15—H15 | 126.9 |
C2—C3—H3 | 120.0 | C15—C16—N6 | 111.0 (2) |
C3—C4—C5 | 120.0 | C15—C16—H16 | 124.5 |
C3—C4—H4 | 120.0 | N6—C16—H16 | 124.5 |
C5—C4—H4 | 120.0 | N4—C17—C18 | 114.81 (17) |
C4—C5—N1 | 120.0 | N4—C17—H17A | 108.6 |
C4—C5—H5 | 120.0 | C18—C17—H17A | 108.6 |
N1—C5—H5 | 120.0 | N4—C17—H17B | 108.6 |
N3—C6—N4 | 108.0 | C18—C17—H17B | 108.6 |
N3—C6—C1 | 121.29 | H17A—C17—H17B | 107.5 |
N4—C6—C1 | 130.66 | C17—C18—C19 | 109.66 (18) |
C6—N3—C7 | 108.0 | C17—C18—H18A | 109.7 |
N3—C7—C8 | 108.0 | C19—C18—H18A | 109.7 |
N3—C7—H7 | 126.0 | C17—C18—H18B | 109.7 |
C8—C7—H7 | 126.0 | C19—C18—H18B | 109.7 |
C7—C8—N4 | 108.0 | H18A—C18—H18B | 108.2 |
C7—C8—H8 | 126.0 | C20—C19—C18 | 112.96 (19) |
N4—C8—H8 | 126.0 | C20—C19—H19A | 109.0 |
C6—N4—C8 | 108.0 | C18—C19—H19A | 109.0 |
C6—N4—C17 | 128.42 (14) | C20—C19—H19B | 109.0 |
C8—N4—C17 | 123.39 (14) | C18—C19—H19B | 109.0 |
N2—C9—C10 | 122.2 (2) | H19A—C19—H19B | 107.8 |
N2—C9—C14 | 118.7 (2) | N5—C20—C19 | 111.43 (19) |
C10—C9—C14 | 119.1 (2) | N5—C20—H20A | 109.3 |
C9—C10—C11 | 119.3 (3) | C19—C20—H20A | 109.3 |
C9—C10—H10 | 120.4 | N5—C20—H20B | 109.3 |
C11—C10—H10 | 120.4 | C19—C20—H20B | 109.3 |
C12—C11—C10 | 118.6 (3) | H20A—C20—H20B | 108.0 |
C12—C11—H11 | 120.7 | C13—N2—C9 | 116.8 (2) |
C10—C11—H11 | 120.7 | C14—N5—C15 | 106.33 (19) |
C13—C12—C11 | 118.5 (3) | C14—N5—C20 | 129.4 (2) |
C13—C12—H12 | 120.8 | C15—N5—C20 | 124.2 (2) |
C11—C12—H12 | 120.8 | C14—N6—C16 | 104.8 (2) |
C5—N1—C1—C2 | 0.0 | C10—C9—C14—N5 | 141.1 (2) |
N1—C1—C2—C3 | 0.0 | N5—C15—C16—N6 | 0.5 (3) |
C1—C2—C3—C4 | 0.0 | C6—N4—C17—C18 | 83.6 (2) |
C2—C3—C4—C5 | 0.0 | C8—N4—C17—C18 | −102.05 (19) |
C3—C4—C5—N1 | 0.0 | N4—C17—C18—C19 | 179.30 (18) |
C1—N1—C5—C4 | 0.0 | C17—C18—C19—C20 | 177.87 (19) |
N4—C6—N3—C7 | 0.0 | C18—C19—C20—N5 | 179.65 (19) |
C6—N3—C7—C8 | 0.0 | C12—C13—N2—C9 | 0.7 (4) |
N3—C7—C8—N4 | 0.0 | C10—C9—N2—C13 | 1.0 (3) |
N3—C6—N4—C8 | 0.0 | C14—C9—N2—C13 | −177.6 (2) |
N3—C6—N4—C17 | 175.07 (18) | N6—C14—N5—C15 | 0.2 (3) |
C1—C6—N4—C17 | −7.4 (2) | C9—C14—N5—C15 | −176.9 (2) |
C7—C8—N4—C6 | 0.0 | N6—C14—N5—C20 | −178.8 (2) |
C7—C8—N4—C17 | −175.38 (17) | C9—C14—N5—C20 | 4.2 (4) |
N2—C9—C10—C11 | −1.6 (3) | C16—C15—N5—C14 | −0.4 (3) |
C14—C9—C10—C11 | 176.9 (2) | C16—C15—N5—C20 | 178.6 (2) |
C9—C10—C11—C12 | 0.6 (4) | C19—C20—N5—C14 | 94.6 (3) |
C10—C11—C12—C13 | 1.0 (4) | C19—C20—N5—C15 | −84.2 (3) |
C11—C12—C13—N2 | −1.7 (4) | N5—C14—N6—C16 | 0.1 (3) |
N2—C9—C14—N6 | 142.9 (2) | C9—C14—N6—C16 | 177.3 (2) |
C10—C9—C14—N6 | −35.7 (3) | C15—C16—N6—C14 | −0.4 (3) |
N2—C9—C14—N5 | −40.3 (3) |
Experimental details
Crystal data | |
Chemical formula | C20H20N6 |
Mr | 344.42 |
Crystal system, space group | Monoclinic, P21/c |
Temperature (K) | 293 |
a, b, c (Å) | 11.0426 (10), 13.4510 (12), 12.7081 (11) |
β (°) | 111.213 (2) |
V (Å3) | 1759.7 (3) |
Z | 4 |
Radiation type | Mo Kα |
µ (mm−1) | 0.08 |
Crystal size (mm) | 0.43 × 0.39 × 0.36 |
Data collection | |
Diffractometer | Bruker SMART APEX CCD area-detector diffractometer |
Absorption correction | Multi-scan (SADABS; Sheldrick, 1996) |
Tmin, Tmax | 0.938, 0.966 |
No. of measured, independent and observed [I > 2σ(I)] reflections | 10708, 4139, 1705 |
Rint | 0.031 |
(sin θ/λ)max (Å−1) | 0.666 |
Refinement | |
R[F2 > 2σ(F2)], wR(F2), S | 0.053, 0.125, 1.03 |
No. of reflections | 4139 |
No. of parameters | 215 |
No. of restraints | 1 |
H-atom treatment | H-atom parameters constrained |
Δρmax, Δρmin (e Å−3) | 0.49, −0.48 |
Computer programs: SMART (Bruker, 1997), SAINT (Bruker, 1999), SHELXS97 (Sheldrick, 2008), SHELXL97 (Sheldrick, 2008), SHELXTL-Plus (Sheldrick, 2008).
References
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Numerous flexible or rigid N-heterocyclic precursors have been synthesized and studied because they attract considerable attention because of their diverse coordination capabilities and the important catalytic properties of their metal complexes (Herrmann, 2002; Herrmann & Kocher, 1997). A lot of metal complexes with N-donor ligands, especially ligands with imidazole-type rings separated by an aromatic spacer, have been isolated with various structures (Carlucci et al., 2005). In the present work, the crystal structure of an N-donor ligand, (I), a newspacer for metal organic frameworks, is reported.
In the molecular structure of the title compound, (I), bond lengths and angles are normal. The dihedral angles between the imidazole ring and the pyridine ring in the same 2-(pyridin-2-yl)-1H-imidazol group are 11.6 and 37.8°, respectively. The dihedral angle between two imidazole rings in the same ligand is 13.2°. And the corresponding angle between two pyridine rings in the same ligand is 36.4°.