On benzenoid systems with a minimal number of inlets
نویسندگان
چکیده
Recent experimental methods have made it possible to synthesize very large benzenoid molecules, sometimes referred to as “graphenes”.1–3 These have found unprecedented applications as organic materials for electronic and optoelectronic devices.2,3 As large benzenoid systems have countless possible isomers,4–6 it is a task of theoretical chemistry to help indicate those species that may possess interesting properties. The fact that numerous electronic and topological properties of benzenoid systems are determined by the structural features on their perimeter was established a long time ago.7–9 These features are shown in Fig. 1; their more precise definitions are given in the literature.10 The total number of fissures, bays, coves and fjords in a benzenoid system B is called11 its number of inlets and is denoted by ( ) r r B = . By means of ( ) r B , several topological properties of B are directly determined. Thus, let B be a benzenoid molecule with n carbon atoms and h hexagons. If mij denotes the number of edges of the molecular graph of B, connecting vertices of degree i and j, then:11
منابع مشابه
Randi} Index of Benzenoid Systems and Phenylenes*
A new parameter, related to and easily determined from the structure of a benzenoid system and that of a phenylene – the number of inlets (r) – is introduced. The connectivity (Randi}) index of both benzenoid systems and phenylenes is then shown to depend solely on the number of vertices and on r. A simple relation is established between the connectivity index of a phenylene and of the correspo...
متن کاملOn discriminativity of vertex-degree-based indices
A recently published paper [T. Došlić, this journal 3 (2012) 25-34] considers the Zagreb indices of benzenoid systems, and points out their low discriminativity. We show that analogous results hold for a variety of vertex-degree-based molecular structure descriptors that are being studied in contemporary mathematical chemistry. We also show that these results are straightforwardly obtained by u...
متن کاملEdge-Szeged and vertex-PIindices of Some Benzenoid Systems
The edge version of Szeged index and vertex version of PI index are defined very recently. They are similar to edge-PI and vertex-Szeged indices, respectively. The different versions of Szeged and PIindices are the most important topological indices defined in Chemistry. In this paper, we compute the edge-Szeged and vertex-PIindices of some important classes of benzenoid systems.
متن کاملSurvy of Influence of inlet Type and Position on the Performance of Jet Pulse bag house System
Background and Objective:Pulse jet systems are of interest due to their high filtration velocity,They're used as inlets from top and bottom. the purpose of this study was to compare the pressure drop and collection efficiency at the different inlet positions in a baghouse Methods and Materials:In this experimental study, a pilot system was designed at 12ft/min permeability for MDF particles.Fo...
متن کامل