Photoinduced intermolecular electron transfer from dimethyl aniline to 7-amino coumarin dyes in the surface of beta-cyclodextrin

The photoinduced electron-transfer reaction between Coumarin dyes and N,N-dimethylaniline has been investigated using steady-state and Time-resolved fluorescence spectroscopy in the surface of beta-cyclodextrin in dimethyl formamide (DMF) solvent. The electron-transfer rate constant has been correlated with the free-energy change during the process. We have observed a diffusion-controlled ET process in pure DMF by showing a normal Marcus region. However, the picture is different in presence of cyclodextrin. Here the ET is retarded at higher free-energy region. This unusual feature in bimolecular electron-transfer reaction is assumed to be arising from the different binding possibility of the Coumarin molecules to the cyclodextrin moity.     

Cluster based copper(II)-azide polymer: Synthesis,structure and magnetic study

The reaction of ethylene diamine with Cu(NO₃)₂·3H₂O and an excess of NaN₃ (1:2:4 molar ratio) lead to the formation of copper-azido based polymer [Cu₄(N₃)₈(en)₂]_n (1), which has been successfully characterized by elemental analyses, IR spectroscopy, single-crystal X-ray diffraction and variable temperature magnetic study. X-ray crystal structure determination of 1 reveals that the structure consists of 1D chains of a centrosymmetric tetranuclear copper(II)-azido cluster, connected through double azido end-to-end bridges. Variable-temperature magnetic studies (between 2 and 300 K) suggest dominant antiferromagnetic interactions in this complex, although ferromagnetic interactions have been observed in all other copper-azido based polymers produced with ethylene diamine reported so far.     

Undirected power graphs of semigroups

The undirected power graph G(S) of a semigroup S is an undirected graph whose vertex set is S and two vertices a,b∈S are adjacent if and only if a≠b and a ^m =b or b ^m =a for some positive integer m. In this paper we characterize the class of semigroups S for which G(S) is connected or complete. As a consequence we prove that G(G) is connected for any finite group G and G(G) is complete if and only if G is a cyclic group of order 1 or p ^m . Particular attention is given to the multiplicative semigroup ℤ _n and its subgroup U _n , where G(U _n ) is a major component of G(ℤ _n ). It is proved that G(U _n ) is complete if and only if n=1,2,4,p or 2p, where p is a Fermat prime. In general, we compute the number of edges of G(G) for a finite group G and apply this result to determine the values of n for which G(U _n ) is planar. Finally we show that for any cyclic group of order greater than or equal to 3, G(G) is Hamiltonian and list some values of n for which G(U _n ) has no Hamiltonian cycle.