In the mol-ecule of the title compound, C(12)H(13)N(3)O(3)S, the pyrrolidine ring adopts a half-chair conformation and the dihedral angle formed by the nitro group with the benzene ring is 15.18 (18)°. In the crystal, mol-ecules are linked by N-H⋯S and C-H⋯O inter-molecular hydrogen bonds into chains parallel to the c axis.

In the title three-dimensional coordination polymer, [Cd(N(3))(2)(C(8)H(10)N(4))](n), the coordination geometry around the Cd(II) atom is distorted octa-hedral. The Cd(II) atom is coordinated by two N atoms from two cis-positioned bridging 1,2-bis-(imidazol-1-yl)ethane (bime) ligands and four N atoms from four azide anions. Each azide ligand acts in an end-on bridging coordination mode. The azi...

We investigate the long-term behavior of solutions of the difference equation[ x_{n+1}=x_{n}x_{n-3}-1 ,, n=0 ,, 1 ,, ldots ,, ]noindent where the initial conditions $x_{-3} ,, x_{-2} ,, x_{-1} ,, x_{0}$ are real numbers.  In particular, we look at the periodicity and asymptotic periodicity of solutions, as well as the existence of unbounded solutions.

In the title compound, C(23)H(26)Cl(2)N(4)O(4),the dihedral angle between the mean planes of the pyridine and 3-chloro-phenyl rings is 22.63 (2)°. The nitro group is in a Z conformation.

Five new diketopiperazine derivatives, (3Z,6E)-1-N-methyl-3-benzylidene-6-(2S-methyl-3-hydroxypropylidene)piperazine-2,5-dione (1), (3Z,6E)-1-N-methyl-3-benzylidene-6-(2R-methyl-3-hydroxypropylidene)piperazine-2,5-dione (2), (3Z,6Z)-3- (4-hydroxybenzylidene)-6-isobutylidenepiperazine-2,5-dione (3), (3Z,6Z)-3-((1H-imidazol-5-yl)-methylene)-6-isobutylidenepiperazine-2,5-dione (4), and (3Z,6S)-3-b...