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The complete mol­ecule of the title compound, C8H12N4, is generated by a crystallographic inversion centre. The piperazine ring adopts a chair conformation with the N-bonded substituents in equatorial positions. In the crystal, mol­ecules are linked by C—H...Nc (c = cyanide) hydrogen bonds.

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In the title hydrate, C4H7N3O2·H2O, all the non-H atoms lie on a crystallographic mirror plane. The H atoms of both methyl groups are disordered over two sets of sites. In the crystal, N—H...Ow and Ow—H...Ok (w = water and k = ketone) hydrogen bonds link the components into (010) sheets.

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In the title compound, C14H10BrN5S, the dihedral angle between the triazole ring and the pyridine and bromo­benzene rings are 26.42 (13) and 6.28 (13)°, respectively. The molecule exists as a thione in the solid state. In the crystal, mol­ecules are linked by N—H...N hydrogen bonds, generating [010] C(8) chains.
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