Based on the diagonal sum rule,the non-relativistic energy levels of the ground state,corresponding to the(1s2)(2s2)(2p3) configurations of the nitrogen atom and oxygen ion have been derived analytically and calculated by variational method.

Recent years, the discovery of C60 has stimulated more and more people to research new polyatom clusters, especially polynitrogen cluster.

The paper reports the research results of the spectra of carbon atom wires (CAW), and, of the electrocatalysis of CAW modified electrodes for the electrochemical processes of ascorbic acid, dopamine and dihydronicotinamide adenine dinucleotide (NADH).

The most stable structures of carbon clusters were optimized by the parallel fast annealing evolutionary algorithmbased on the Brenner potential.

According to this approach,the relative abundence of clusters with similar structural configurations and stabilities can be fitted by a single lognormal curve and the number of distribution curves in a mass spectrum corresponds to the number of different configuration of clusters,so we can correlate the mass spectra of carbon clusters with their structures.

Carbon clusters of variety of sizes and their compounds have been generated by laser ablation of different kinds of polycyclic aromatic hydrocarbons and their derivatives.