On lacunary statistical convergence of order α

In this article, we introduce the concept of lacunary statistical convergence of order α of real number sequences and give some inclusion relations between the sets of lacunary statistical convergence of order α and strong N_θ^α(p)-summability. Furthermore, some relations between the spaces N_θ^αS_θ^α are examined.     

The Influence of Unsaturated Hydrocarbon Ligands on the Stabilization of Platinum Tetramer

In the present study, Pt₄(CH)_n (1 ≤ n ≤ 7) and Pt₄(benzene)₂ metalorganic complexes have been investigated by performing density functional theory within spin polarized local density approximation, generalized gradient approximation and hybrid exchange correlation functionals in terms of the geometric properties, stability and energetics, electronic properties and chemical reactivity indexes. Locally stable isomers are distinguished from transition states by vibrational frequency analysis. Our calculations indicate that Pt₄(CH)₄ and Pt₄benzene metal hydrocarbon complexes are the most stable structures among the studied species.