Prabhu S, Arulperumjothi M, Ghani Muhammad Usman, Imran Muhammad, Salu S, Jose Bibin K
Department of Mathematics, Rajalakshmi Engineering College, Chennai 602105, India.
Department of Mathematics, St. Joseph's College of Engineering, Chennai 600119, India.
Molecules. 2023 Sep 14;28(18):6625. doi: 10.3390/molecules28186625.
Cycloarene molecules are benzene-ring-based polycyclic aromatic hydrocarbons that have been fused in a circular manner and are surrounded by carbon-hydrogen bonds that point inward. Due to their magnetic, geometric, and electronic characteristics and superaromaticity, these polycyclic aromatics have received attention in a number of studies. The kekulene molecule is a cyclically organized benzene ring in the shape of a doughnut and is the very first example of such a conjugated macrocyclic compound. Due to its structural characteristics and molecular characterizations, it serves as a great model for theoretical research involving the investigation of π electron conjugation circuits. Therefore, in order to unravel their novel electrical and molecular characteristics and foresee potential applications, the characterization of such components is crucial. In our current research, we describe two unique series of enormous polycyclic molecules made from the extensively studied base kekulene molecule, utilizing the essential graph-theoretical tools to identify their structural characterization via topological quantities. Rectangular kekulene Type-I and rectangular kekulene Type-II structures were obtained from base kekulene molecules arranged in a rectangular fashion. We also employ two subcases for each Type and, for all of these, we derived ten topological indices. We can investigate the physiochemical characteristics of rectangular kekulenes using these topological indices.
环芳烃分子是以苯环为基础的多环芳烃,它们以环状方式稠合,并且被向内指向的碳氢键所包围。由于其磁性、几何和电子特性以及超芳香性,这些多环芳烃在许多研究中受到了关注。凯库勒烯分子是一种呈甜甜圈形状的环状排列的苯环,是此类共轭大环化合物的首个例子。由于其结构特征和分子特性,它是涉及π电子共轭电路研究的理论研究的一个很好的模型。因此,为了揭示它们新颖的电学和分子特性并预见潜在应用,对此类成分的表征至关重要。在我们当前的研究中,我们描述了由经过广泛研究的基础凯库勒烯分子制成的两个独特系列的巨大多环分子,利用基本的图论工具通过拓扑量来识别它们的结构特征。矩形凯库勒烯I型和矩形凯库勒烯II型结构是由以矩形方式排列的基础凯库勒烯分子获得的。我们还为每种类型采用了两个子情况,并且对于所有这些情况,我们推导了十个拓扑指数。我们可以使用这些拓扑指数来研究矩形凯库勒烯的物理化学特性。