Replacement of phenyl ring(s) in tetraphenylethene by naphthalene ring(s) generates a series of new luminogens with aggregation-induced emission (AIE) characteristics, demonstrating that bulky naphthalene rings can serve as a rotor to construct AIE luminogens.

In the title compound, C(10)H(9)Cl(2)NO(3)S, the S atom, which is a component atom of a heterocyclic ring, shows tetra-hedral coordination. The heterocyclic ring is not planar.

In the title compound, C(14)H(8)N(2)S, the dicyano-substituted aromatic ring and the phenyl ring attached to the central S atom adopt an angular V-shaped configuration. The dihedral angle between the rings is 103.6°.

Photochromism of a symmetric diarylmaleimide derivative, having two thiophene rings (1), and a non-symmetric derivative having a S,S-dioxide thiophene ring and a thiophene ring (2) as the aryl moieties, was studied in various solvents. The photocyclization quantum yield of gradually decreased with increasing the solvent polarity and the reaction was not observed in polar solvents, such as ethan...

The title thio-semicarbazone derivative, C(12)H(18)N(4)S, features intra-molecular N-H⋯N and C-H⋯S hydrogen bonds which generate S(5) ring motifs. The dihedral angle between the benzene ring and the thio-urea unit is 6.30 (6)° indicating planarity in the mol-ecule. Inter-molecular N-H⋯S hydrogen bonds generate dimers with an R(2) (2)(8) ring motif. The methyl group of the N-ethyl residue is dis...

In the title compound, C(27)H(27)N(3)O(3)S(3)·CH(4)O, the dihedral angles formed by the mesitylene ring with the three oxopyridyl rings are 89.6 (1), 75.5 (1) and 80.69 (1)°, indicating that all three are nearly perpendicular to the mesitylene ring. Intra-molecular C-H⋯S hydrogen bonds generate S(6) ring motifs. The crystal structure is stabilized by intra-molecular C-H⋯S and inter-molecular C-...

If R is a local ring whose radical J(R) is nilpotent and R/J(R) is a commutative field which is algebraic over GF(p), then R has at least one subring S such that S w*=,S,, where each S, is isomorphic to a Galois ring and S/J(S) is naturally isomorphic to R/J(R). Such subrings ofR are mutually isomorphic, but not necessarily conjugate in R.

Observations of the November 1995 Sun crossing of the Saturn’s ring-plane made with the 3.6m CFH telescope, using the UHAO adaptive optics system, are presented here. We report the detection of four arcs located in the vicinity of the F ring. They can be seen one day later in HST images. The combination of both data sets gives accurate determinations of their orbits. Semimajor axes range from 1...

In the title compound, C(21)H(23)FN(4)S, the benzene rings of the isobutyl-phenyl and fluoro-benzene units form dihedral angles of 75.89 (7) and 13.26 (7)°, respectively, with the triazole ring. An intra-molecular C-H⋯S hydrogen-bonding contact generates an S(6) ring motif. In the crystal packing, pairs of N-H⋯S hydrogen bonds link neighbouring mol-ecules into inversion dimers, forming R(2) (2)...

Let G be a finite group and let S be a G-set. The Burnside ring of G has a natural structure of a λ-ring, {λ}n∈N. However, a priori λn(S), where S is a G-set, can only be computed recursively, by first computing λ1(S), . . . , λn−1(S). In this paper we establish an explicit formula, expressing λn(S) as a linear combination of classes of G-sets.