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In the title compound, C19H19FN2O2, the imidazole ring is essentially planar [maximum deviation = 0.0030 (8) Å] and makes dihedral angles of 66.45 (7) and 29.98 (7)° with the benzene rings attached to the ring N and C atoms, respectively. The dihedral angle between the two benzene rings is 64.79 (7)°. A C—H...π inter­action is found in the crystal structure. The two meth­oxy groups were found to be disordered over two sets of sites with occupancy factors of 0.803 (4) and 0.197 (4). The F atom is disordered over two sites with occupancy factors of 0.929 (4) and 0.071 (4).

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In the title mol­ecule, C19H13FN2, the benzimidazole unit is close to planar [maximum deviation = 0.0342 (9) Å] and forms dihedral angles of 58.94 (3) and 51.43 (3)° with the phenyl and fluoro­benzene rings, respectively; the dihedral angle between the phenyl and fluoro­benzene rings is 60.17 (6)°. In the crystal, three C—H...F hydrogen bonds and two weak C—H...π inter­actions involving the fused benzene ring lead to a three-dimensional architecture.

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The phenanthrene tricyclic ring system in the title mol­ecule, C28H19FN2, is slightly skewed with a dihedral angle of 7.50 (6)° between the outer benzene rings. The p-tolyl and fluoro­benzene rings are twisted from the attached imidazole ring by 70.40 (7) and 28.33 (7)°, respectively. In the crystal, C—H...F hydrogen bonds link the mol­ecules into zigzag chains in [001], and weak C—H...π inter­actions further consolidate the crystal packing.

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In the title mol­ecule, C19H14N2, the benzimidazole unit is close to being planar [maximum deviation = 0.0102 (6) Å] and forms dihedral angles of 55.80 (2) and 40.67 (3)° with the adjacent phenyl rings; the dihedral angle between the phenyl rings is 62.37 (3)°. In the crystal, one C—H...N hydrogen bond and three weak C—H...π inter­actions involving the fused benzene ring and the imidazole ring are observed, leading to a three-dimensional architecture.
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