research communications
accessA second monoclinic polymorph of 2,3-diphenylpyrazine
aDepartment of Chemistry, College of Science and Arts, King Abdulaziz University, Rabigh 21911, Saudi Arabia, bDepartment of Chemistry, Rabigh College of Science and Arts, King Abdulaziz University, Jeddah 21589, Saudi Arabia, cDepartment of Chemistry, Faculty of Pure and Applied Sciences, International University of Africa, Khartoum 2469, Sudan, dDepartment of Physics, Hacettepe University, 06800 Beytepe, Ankara, Türkiye, and eEaStCHEM School of Chemistry, University of St Andrews, Fife, KY16 9ST, United Kingdom
*Correspondence e-mail: [email protected]
The title compound, C16H12N2 (I), crystallizes in the space group P21/c with one molecule in the in which the dihedral angles between the planes of the pyrazine ring and pendant phenyl rings are 53.12 (3) and 33.28 (3)°. In the crystal, pairwise C—H⋯N hydrogen bonds link the molecules into centrosymmetric dimers and aromatic π–π stacking interactions between the pyrazine rings of adjacent molecules and C—H⋯π interactions help to consolidatate the packing. Compound I is a polymorph of the previously reported form of 2,3-diphenylpyrazine [Kitano et al. (1983
). Acta Cryst. C39, 136–139], which crystallizes in the space group C2/c with two molecules in the The Hirshfeld surfaces and energy frameworks of the two polymorphs are compared and the bonding modes of the molecules as ligands are surveyed.
Keywords: 2,3-diphenylpyrazine; crystal structure; hydrogen bonding; π-stacking; Hirshfeld surface.
CCDC reference: 2524118
1. Chemical context
The title compound I belongs to the class of organic compounds known as pyrazines or 1,4-diazines (Mason, 1887
; Ohta et al., 1982
). Pyrazine derivatives are of interest due to their pharmaceutical activities and natural occurence (Sammes, 1975
; Cheeseman & Werstiuk, 1972
). The syntheses and reactivities of pyrazine analogues have been investigated by Akita & Ohta (1982
). Currently, our research focuses on the syntheses, reactivities and anticancer activities of a variety of cyclic and acyclic imine (C=N)-type compounds (e.g. Eltayeb et al., 2025
) and the crystal structure determination of I was undertaken as part of these studies. Compound I is a polymorph of the previously reported form of 2,3-diphenylpyrazine (Kitano et al., 1983
) with Cambridge Structural Database (CSD; Groom et al., 2016
) refcode BOHPOD in the space group C2/c with two molecules in the asymmetric unit.
2. Structural commentary
Compound I crystallizes in the P21/c with one molecule in the (Fig. 1
). It contains a pyrazine ring, A (N1/N4/C2–C6), and pendant phenyl rings, B (C7–C12) and C (C13–C18), oriented at dihedral angles of A/B = 53.12 (3)°, A/C = 33.28 (3)° and B/C = 64.72 (3)°. The B and C rings are rotated in the same sense from the A ring plane due to steric hinderence between them and the C7—C2—C3—C13 torsion angle is −12.78 (16)°. The pyrazine ring in I is distinctly twisted, with an r.m.s. deviation of 0.043 Å for the six atoms and C6—N1—C2—C3 and C6—C5—N4—C3 torsion angles of 4.82 (15) and 2.75 (16)°, respectively.
| Figure 1 The molecular structure of I, showing displacement ellipsoids at the 50% probability level. |
3. Supramolecular features
In the crystal of I, pairwise C6—H6⋯N1i hydrogen bonds (Table 1
) link the molecules into centrosymmetric dimers (Fig. 2
) enclosing R22(6) loops. Aromatic π–π stacking interactions between the pyrazine rings of adjacent molecules, with an inter-centroid distance of 3.5711 (6) Å (slippage = 1.213 Å), and C—H⋯π interactions (Table 1
) help to consolidate the crystal packing. In polymorph BOPHOD, only directional C—H⋯π interactions are present and the densities of I and BOPHOD of 1.278 and 1.233 Mg m−3, respectively, suggest that I is the more stable.
| |||||||||||||||||||||||||||
| Figure 2 A partial packing diagram of I, showing an inversion dimer linked by pairwise C—H⋯N hydrogen bonds (dashed lines). The other H atoms have been omitted for clarity. |
4. Hirshfeld surface analysis
Hirshfeld surface analyses for I and II {catena-poly[[(μ2-2,3-diphenylpyrazine)silver(I)] tetrafluoroborate nitromethane solvate]; CSD refcode EQOYIS; Schultheiss et al., 2003
} were carried out using CrystalExplorer (Version 17.5; Spackman et al., 2021
; Spackman et al., 2008
; McKinnon et al., 2007
; Turner et al., 2015
). The Hirshfeld surface for I is shown in Fig. 3
, where the bright-red spots correspond to the respective donors and acceptors noted above. The Hirshfeld surfaces for the two molecules in BOHPOD are shown in Figs. S1(a) and S1(b) in the supporting information. The contact-type percentages from the two-dimensional fingerprint plot for I (Fig. 4
) and II (Figs. S3) are listed in Table 2
. These data show that the contact percentages are similar, with H⋯H and C⋯H/H⋯C dominating in each case.
| ||||||||||||||||||||||||||||||||||
| Figure 3 The three-dimensional Hirshfeld surface of I plotted over dnorm in the range from −0.17 to 1.34 a.u. |
| Figure 4 Two-dimensional fingerprint plots for I, showing (a) all interactions, and delineated into the different contact types (b)–(g). |
5. Interaction energy calculations and energy frameworks
The CE-B3LYP/6-31G(d,p) energy model available in CrystalExplorer was used to calculate the intermolecular interaction energies in I. The interaction energies (in kJ mol−1) were calculated to be −7.6 (Eele), −2.4 (Epol), −40.4 (Edis), +27.0 (Erep) and −28.3 (Etot) for the C6—H6⋯N1i hydrogen-bond interaction. Energy frameworks were constructed for Eele (red cylinders), Edis (green cylinders) and Etot (blue cylinders) [Figs. 5
(a), 5(b) and 5(c)], and their evaluation indicate that the stabilization is dominated by dispersion energy contributions in the crystal structure of I. A similar calculation for BOHPOD (Figs. S4 and S5) indicates that the stabilization is also dominated by the dispersion energy contributions.
| | Figure 5 The energy frameworks for a cluster of molecules of I, viewed down the a-axis direction, showing (a) electrostatic energy, (b) dispersion energy and (c) total energy diagrams. The cylindrical radius is proportional to the relative strength of the corresponding energies and they were adjusted to the same scale factor of 80 with a cut-off value of 5 kJ mol−1 within 2 × 2 × 2 unit cells. |
6. Database survey
A survey of the Cambridge Structural Database (CSD, July 2025 update; Groom et al., 2016
) revealed several structures where 2,3-diphenylpyrazine can act as a ligand, either N-bonded or N,C-bonded, or as an anion. They include refcode BOHPOD (Kitano et al., 1983
), II (EQOYIS; Schultheiss et al., 2003
), III (HABSAI; Hrovat et al., 2020
), IV (IFELOX; Zhu et al., 2018
), V (IQUJAJ; Shi et al., 2025
), VI (KAQHES; Luo et al., 2017
), VII (LEXDAW; Tian et al., 2018
), VIII (LEXDEA; Tian et al., 2018
), IX (LEXDIE; Tian et al., 2018
), X (LEXFEC; Tian et al., 2018
), XI (LEXFIG; Tian et al., 2018
), XII (REJLAW; Tian et al., 2016
), XIII (REJLIE; Tian et al., 2016
) and XIV (VIBXAF; Steel & Caygill, 1990
). The dihedral angles between the central and pendant rings for these structures are given in the supporting information.
7. Synthesis and crystallization
Ethylenediamine (60.1 mg, 1.0 mmol) was added to a solution of benzil (210.2 mg, 1.0 mmol) in ethanol (50 ml). The reaction mixture was refluxed for 4 h, cooled to room temperature for precipitation and then filtered. Yellow crystals of I suitable for X-ray analysis were obtained by slow evaporation of an ethanol solution (yield 88%; m.p. 115–116 °C). Elemental analysis calculated (%) for C16H12N2: C 82.73, H 5.21, N 12.06; found: C 82.75, H 5.19, N 12.08. The report of Kitano et al. (1983
) unfortunately does not mention the synthesis or (re)crystallization conditions for II.
8. Refinement
Crystal data, data collection and structure details are summarized in Table 3
. The H-atom positions were calculated geometrically (C—H = 0.95 Å) and refined using a riding model by applying the constraint Uiso(H) = 1.2Ueq(C).
|
Supporting information
CCDC reference: 2524118
contains datablocks I, global. DOI: https://doi.org/10.1107/S2056989026000460/hb8177sup1.cif
Structure factors: contains datablock I. DOI: https://doi.org/10.1107/S2056989026000460/hb8177Isup2.hkl
Additional figures. DOI: https://doi.org/10.1107/S2056989026000460/hb8177sup3.pdf
Supporting information file. DOI: https://doi.org/10.1107/S2056989026000460/hb8177Isup4.cml
| C16H12N2 | F(000) = 488 |
| Mr = 232.28 | Dx = 1.278 Mg m−3 |
| Monoclinic, P21/c | Mo Kα radiation, λ = 0.71073 Å |
| a = 6.2885 (2) Å | Cell parameters from 7919 reflections |
| b = 25.4882 (9) Å | θ = 2.7–29.0° |
| c = 7.5554 (3) Å | µ = 0.08 mm−1 |
| β = 94.403 (4)° | T = 173 K |
| V = 1207.43 (8) Å3 | Prism, colourless |
| Z = 4 | 0.22 × 0.09 × 0.02 mm |
| Rigaku XtaLAB P200K diffractometer | 3011 independent reflections |
| Radiation source: Rotating Anode, Rigaku FR-X | 2387 reflections with I > 2σ(I) |
| Rigaku Osmic Confocal Optical System monochromator | Rint = 0.031 |
| Detector resolution: 5.8140 pixels mm-1 | θmax = 29.6°, θmin = 2.8° |
| shutterless scans | h = −8→8 |
| Absorption correction: multi-scan (CrysAlis PRO; Rigaku OD, 2024) | k = −33→35 |
| Tmin = 0.812, Tmax = 1.000 | l = −7→10 |
| 26279 measured reflections |
| Refinement on F2 | Primary atom site location: dual |
| Least-squares matrix: full | Hydrogen site location: inferred from neighbouring sites |
| R[F2 > 2σ(F2)] = 0.039 | H-atom parameters constrained |
| wR(F2) = 0.097 | w = 1/[σ2(Fo2) + (0.0426P)2 + 0.2327P] where P = (Fo2 + 2Fc2)/3 |
| S = 1.03 | (Δ/σ)max < 0.001 |
| 3011 reflections | Δρmax = 0.21 e Å−3 |
| 163 parameters | Δρmin = −0.17 e Å−3 |
| 0 restraints |
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. |
| x | y | z | Uiso*/Ueq | ||
| N1 | 0.22049 (15) | 0.45593 (4) | 0.09624 (13) | 0.0358 (2) | |
| N4 | 0.56788 (15) | 0.49704 (3) | 0.29880 (12) | 0.0332 (2) | |
| C2 | 0.37217 (16) | 0.42424 (4) | 0.17179 (14) | 0.0281 (2) | |
| C3 | 0.54118 (16) | 0.44465 (4) | 0.28378 (13) | 0.0274 (2) | |
| C5 | 0.42219 (19) | 0.52761 (4) | 0.21441 (14) | 0.0359 (3) | |
| H5 | 0.441288 | 0.564571 | 0.218955 | 0.043* | |
| C6 | 0.24486 (19) | 0.50752 (4) | 0.12082 (16) | 0.0380 (3) | |
| H6 | 0.137428 | 0.530775 | 0.072621 | 0.046* | |
| C7 | 0.34590 (17) | 0.36787 (4) | 0.12216 (13) | 0.0293 (2) | |
| C8 | 0.50968 (18) | 0.34009 (4) | 0.05075 (15) | 0.0360 (3) | |
| H8 | 0.643471 | 0.356536 | 0.039207 | 0.043* | |
| C9 | 0.4783 (2) | 0.28844 (5) | −0.00368 (16) | 0.0430 (3) | |
| H9 | 0.590011 | 0.269856 | −0.053831 | 0.052* | |
| C10 | 0.2851 (2) | 0.26396 (4) | 0.01483 (16) | 0.0444 (3) | |
| H10 | 0.264447 | 0.228505 | −0.021280 | 0.053* | |
| C11 | 0.1226 (2) | 0.29118 (5) | 0.08586 (17) | 0.0441 (3) | |
| H11 | −0.009944 | 0.274330 | 0.099417 | 0.053* | |
| C12 | 0.15138 (18) | 0.34301 (4) | 0.13762 (15) | 0.0359 (3) | |
| H12 | 0.037361 | 0.361700 | 0.184020 | 0.043* | |
| C13 | 0.69606 (16) | 0.41323 (4) | 0.39840 (13) | 0.0275 (2) | |
| C14 | 0.89935 (17) | 0.43358 (4) | 0.44188 (15) | 0.0331 (2) | |
| H14 | 0.940374 | 0.465469 | 0.388999 | 0.040* | |
| C15 | 1.04192 (18) | 0.40806 (5) | 0.56072 (17) | 0.0411 (3) | |
| H15 | 1.179558 | 0.422512 | 0.589169 | 0.049* | |
| C16 | 0.9848 (2) | 0.36156 (5) | 0.63825 (17) | 0.0433 (3) | |
| H16 | 1.082815 | 0.343962 | 0.719784 | 0.052* | |
| C17 | 0.7840 (2) | 0.34079 (4) | 0.59647 (16) | 0.0405 (3) | |
| H17 | 0.744329 | 0.308866 | 0.649905 | 0.049* | |
| C18 | 0.63994 (18) | 0.36615 (4) | 0.47724 (15) | 0.0333 (2) | |
| H18 | 0.502664 | 0.351456 | 0.449107 | 0.040* |
| U11 | U22 | U33 | U12 | U13 | U23 | |
| N1 | 0.0348 (5) | 0.0320 (5) | 0.0400 (5) | 0.0054 (4) | −0.0009 (4) | 0.0013 (4) |
| N4 | 0.0421 (5) | 0.0245 (4) | 0.0328 (5) | −0.0017 (4) | 0.0023 (4) | 0.0005 (3) |
| C2 | 0.0291 (5) | 0.0261 (5) | 0.0291 (5) | 0.0015 (4) | 0.0031 (4) | 0.0009 (4) |
| C3 | 0.0309 (5) | 0.0243 (5) | 0.0274 (5) | −0.0001 (4) | 0.0050 (4) | 0.0007 (4) |
| C5 | 0.0501 (7) | 0.0232 (5) | 0.0347 (6) | 0.0040 (4) | 0.0054 (5) | 0.0012 (4) |
| C6 | 0.0423 (6) | 0.0312 (6) | 0.0404 (6) | 0.0101 (5) | 0.0029 (5) | 0.0037 (5) |
| C7 | 0.0332 (5) | 0.0270 (5) | 0.0267 (5) | 0.0013 (4) | −0.0045 (4) | −0.0001 (4) |
| C8 | 0.0378 (6) | 0.0324 (6) | 0.0375 (6) | 0.0024 (5) | 0.0010 (5) | −0.0015 (5) |
| C9 | 0.0555 (7) | 0.0334 (6) | 0.0398 (7) | 0.0110 (5) | 0.0012 (6) | −0.0041 (5) |
| C10 | 0.0628 (8) | 0.0265 (5) | 0.0418 (7) | −0.0010 (5) | −0.0100 (6) | −0.0042 (5) |
| C11 | 0.0454 (7) | 0.0368 (6) | 0.0485 (7) | −0.0098 (5) | −0.0073 (6) | −0.0015 (5) |
| C12 | 0.0344 (6) | 0.0340 (6) | 0.0382 (6) | −0.0014 (4) | −0.0036 (5) | −0.0031 (5) |
| C13 | 0.0310 (5) | 0.0251 (5) | 0.0264 (5) | 0.0004 (4) | 0.0010 (4) | −0.0035 (4) |
| C14 | 0.0334 (5) | 0.0291 (5) | 0.0368 (6) | −0.0022 (4) | 0.0032 (5) | −0.0039 (4) |
| C15 | 0.0328 (6) | 0.0433 (7) | 0.0456 (7) | 0.0012 (5) | −0.0062 (5) | −0.0091 (5) |
| C16 | 0.0488 (7) | 0.0408 (6) | 0.0382 (6) | 0.0118 (5) | −0.0108 (5) | −0.0029 (5) |
| C17 | 0.0549 (7) | 0.0286 (5) | 0.0370 (6) | 0.0036 (5) | −0.0024 (5) | 0.0035 (5) |
| C18 | 0.0374 (6) | 0.0275 (5) | 0.0344 (6) | −0.0028 (4) | −0.0008 (5) | 0.0001 (4) |
| N1—C2 | 1.3434 (13) | C10—H10 | 0.9500 |
| N1—C6 | 1.3352 (15) | C10—C11 | 1.3776 (18) |
| N4—C3 | 1.3495 (13) | C11—H11 | 0.9500 |
| N4—C5 | 1.3280 (14) | C11—C12 | 1.3856 (16) |
| C2—C3 | 1.4065 (14) | C12—H12 | 0.9500 |
| C2—C7 | 1.4908 (14) | C13—C14 | 1.3953 (14) |
| C3—C13 | 1.4867 (14) | C13—C18 | 1.3970 (15) |
| C5—H5 | 0.9500 | C14—H14 | 0.9500 |
| C5—C6 | 1.3728 (17) | C14—C15 | 1.3819 (16) |
| C6—H6 | 0.9500 | C15—H15 | 0.9500 |
| C7—C8 | 1.3923 (15) | C15—C16 | 1.3817 (18) |
| C7—C12 | 1.3905 (15) | C16—H16 | 0.9500 |
| C8—H8 | 0.9500 | C16—C17 | 1.3832 (18) |
| C8—C9 | 1.3888 (16) | C17—H17 | 0.9500 |
| C9—H9 | 0.9500 | C17—C18 | 1.3873 (16) |
| C9—C10 | 1.3824 (18) | C18—H18 | 0.9500 |
| C6—N1—C2 | 117.58 (10) | C11—C10—H10 | 120.1 |
| C5—N4—C3 | 117.61 (9) | C10—C11—H11 | 119.8 |
| N1—C2—C3 | 120.82 (9) | C10—C11—C12 | 120.35 (11) |
| N1—C2—C7 | 114.29 (9) | C12—C11—H11 | 119.8 |
| C3—C2—C7 | 124.88 (9) | C7—C12—H12 | 119.8 |
| N4—C3—C2 | 120.00 (9) | C11—C12—C7 | 120.50 (11) |
| N4—C3—C13 | 114.35 (9) | C11—C12—H12 | 119.8 |
| C2—C3—C13 | 125.60 (9) | C14—C13—C3 | 118.97 (9) |
| N4—C5—H5 | 118.9 | C14—C13—C18 | 118.41 (10) |
| N4—C5—C6 | 122.12 (10) | C18—C13—C3 | 122.37 (9) |
| C6—C5—H5 | 118.9 | C13—C14—H14 | 119.5 |
| N1—C6—C5 | 121.26 (10) | C15—C14—C13 | 120.99 (10) |
| N1—C6—H6 | 119.4 | C15—C14—H14 | 119.5 |
| C5—C6—H6 | 119.4 | C14—C15—H15 | 119.9 |
| C8—C7—C2 | 121.11 (10) | C16—C15—C14 | 120.16 (11) |
| C12—C7—C2 | 119.95 (9) | C16—C15—H15 | 119.9 |
| C12—C7—C8 | 118.85 (10) | C15—C16—H16 | 120.2 |
| C7—C8—H8 | 119.9 | C15—C16—C17 | 119.62 (11) |
| C9—C8—C7 | 120.28 (11) | C17—C16—H16 | 120.2 |
| C9—C8—H8 | 119.9 | C16—C17—H17 | 119.7 |
| C8—C9—H9 | 119.9 | C16—C17—C18 | 120.59 (11) |
| C10—C9—C8 | 120.26 (11) | C18—C17—H17 | 119.7 |
| C10—C9—H9 | 119.9 | C13—C18—H18 | 119.9 |
| C9—C10—H10 | 120.1 | C17—C18—C13 | 120.23 (10) |
| C11—C10—C9 | 119.74 (11) | C17—C18—H18 | 119.9 |
| N1—C2—C3—N4 | −8.41 (15) | C5—N4—C3—C13 | −173.21 (9) |
| N1—C2—C3—C13 | 168.90 (10) | C6—N1—C2—C3 | 4.82 (15) |
| N1—C2—C7—C8 | 125.29 (11) | C6—N1—C2—C7 | −173.66 (10) |
| N1—C2—C7—C12 | −51.08 (13) | C7—C2—C3—N4 | 169.91 (9) |
| N4—C3—C13—C14 | −29.59 (13) | C7—C2—C3—C13 | −12.78 (16) |
| N4—C3—C13—C18 | 144.59 (10) | C7—C8—C9—C10 | −0.88 (18) |
| N4—C5—C6—N1 | −6.40 (18) | C8—C7—C12—C11 | 1.19 (16) |
| C2—N1—C6—C5 | 2.32 (16) | C8—C9—C10—C11 | 0.69 (18) |
| C2—C3—C13—C14 | 152.97 (10) | C9—C10—C11—C12 | 0.44 (18) |
| C2—C3—C13—C18 | −32.85 (16) | C10—C11—C12—C7 | −1.39 (18) |
| C2—C7—C8—C9 | −176.47 (10) | C12—C7—C8—C9 | −0.06 (16) |
| C2—C7—C12—C11 | 177.64 (10) | C13—C14—C15—C16 | 0.21 (18) |
| C3—N4—C5—C6 | 2.75 (16) | C14—C13—C18—C17 | 0.35 (16) |
| C3—C2—C7—C8 | −53.13 (15) | C14—C15—C16—C17 | −0.12 (18) |
| C3—C2—C7—C12 | 130.50 (11) | C15—C16—C17—C18 | 0.15 (18) |
| C3—C13—C14—C15 | 174.09 (10) | C16—C17—C18—C13 | −0.27 (18) |
| C3—C13—C18—C17 | −173.86 (10) | C18—C13—C14—C15 | −0.32 (16) |
| C5—N4—C3—C2 | 4.39 (15) |
| Cg2 and Cg3 are the centroids of the C7–C12 and C13–C18 rings, respectively. |
| D—H···A | D—H | H···A | D···A | D—H···A |
| C6—H6···N1i | 0.95 | 2.52 | 3.3740 (15) | 149 |
| C12—H12···Cg3ii | 0.95 | 2.97 | 3.7734 (12) | 143 |
| C16—H16···Cg2iii | 0.95 | 2.99 | 3.8974 (13) | 159 |
| Symmetry codes: (i) −x, −y+1, −z; (ii) x−1, y, z; (iii) x+1, y, z+1. |
| Contact | (I) | BOHPOD (A) | BOHPOD (B) |
| H···H | 54.0 | 47.7 | 55.1 |
| H···C/C···H | 30.0 | 34.1 | 31.6 |
| H···N/N···H | 9.7 | 14.7 | 12.2 |
| C···C | 2.7 | 1.5 | 0.8 |
| N···N | 1.8 | 0.1 | 0.0 |
| C···N/N···C | 1.7 | 1.9 | 0.3 |
| Compound | α | α | α | α | α | α | α | α |
| I | 53.12 (3) | 33.28 (3) | – | – | – | – | – | – |
| III | 56.56 | 57.73 | – | – | – | – | – | – |
| V | 13.58 | 54.30 | – | – | – | – | – | – |
| VI | 24.09 | 22.75 | – | – | – | – | – | – |
| VII | 62.45 | 68.83 | 43.77 | 55.12 | 42.85 | 51.17 | 57.23 | 51.87 |
| VIII | 56.47 | 30.59 | 56.33 | 72.22 | 44.84 | 66.42 | 52.59 | 53.31 |
| IX | 53.25 | 50.38 | – | – | – | – | – | – |
| X | 66.72 | 65.00 | 61.37 | 54.57 | 57.76 | 46.71 | 52.78 | 64.28 |
| XI | 57.69 | 31.21 | 56.67 | 54.09 | 74.66 | 23.83 | – | – |
Acknowledgements
The authors would like to thank D. B. Cordes for fruitful discussions. TH is grateful to Hacettepe University Scientific Research Project Unit.
Funding information
Funding for this research was provided by: Hacettepe Üniversitesi (grant No. 013 D04 602 004).
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