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基于度的拓扑指数与金刚石晶体的熵

Degree-based topological indices and entropies of diamond crystals.

作者信息

Khan Abdul Rauf, Ullah Zafar, Imran Muhammad, Salman Muhammad, Zia Arooj, Tchier Fairouz, Hussain Shahid

机构信息

Department of Mathematics, Faculty of Sciences, Ghazi University, Dera Ghazi Khan, Pakistan.

Division of Science and Technology, Department of Mathematics, University of Education, Lahore, Pakistan.

出版信息

Sci Prog. 2024 Jul-Sep;107(3):368504241271719. doi: 10.1177/00368504241271719.

Abstract

High hardness, low friction coefficient and chemical resistance are only a few of the exceptional mechanical qualities of diamond. Diamonds can be artificially created to have different levels of conductivity, or they can be single, micro or nanocrystalline and highly electrically insulating. It also has high biocompatibility and is famous for being mechanically robust. Due to its high hardness, lack of ductility and difficulty in welding, diamond is a challenging material to construct devices with. Diamonds have experienced a rise in attention as a biological material in recent decades due to new synthesis and fabrication techniques that have eliminated some of these disadvantages. In general, entropic measurements are used for investigating the chemical or biological properties of molecular structures. This study calculates several important -Banhatti entropies, redefined Zagreb entropies and atom-bond sum connectivity entropy for diamond crystals. We also present a numeric and graphical explanations of obtain indices.

摘要

高硬度、低摩擦系数和耐化学性只是钻石卓越机械性能中的一部分。钻石可以通过人工制造使其具有不同程度的导电性,或者它们可以是单晶、微晶或纳米晶且具有高度电绝缘性。它还具有高生物相容性,并且以机械坚固著称。由于其高硬度、缺乏延展性以及焊接困难,钻石是一种难以用于构建器件的材料。近几十年来,由于新的合成和制造技术消除了其中一些缺点,钻石作为一种生物材料受到了越来越多的关注。一般来说,熵测量用于研究分子结构的化学或生物学性质。本研究计算了钻石晶体的几个重要的班哈蒂熵、重新定义的 Zagreb 熵和原子键和连通性熵。我们还对所得指数进行了数值和图形解释。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/d25c/11367704/0d9ac47b14a1/10.1177_00368504241271719-fig1.jpg

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