Degree-based topological indices and entropies of diamond crystals

被引:2
作者
Khan, Abdul Rauf [1 ]
Ullah, Zafar [2 ]
Imran, Muhammad [3 ]
Salman, Muhammad [4 ]
Zia, Arooj [1 ]
Tchier, Fairouz [5 ]
Hussain, Shahid [6 ]
机构
[1] Ghazi Univ, Fac Sci, Dept Math, Dera Ghazi Khan 32200, Pakistan
[2] Univ Educ, Dept Math, Div Sci & Technol, Lahore, Pakistan
[3] United Arab Emirates Univ, Dept Math Sci, Al Ain, U Arab Emirates
[4] Islamia Univ Bahawalpur, Dept Math, Bahawalpur, Pakistan
[5] King Saud Univ, Coll Sci, Math Dept, Riyadh, Saudi Arabia
[6] Lulea Univ Technol, Dept Engn Sci & Math, Energy Engn Div, Lulea, Sweden
关键词
Degree; topological index; entropy; diamond; molecular structure; mathematical modelling; BEHAVIOR;
D O I
10.1177/00368504241271719
中图分类号
G40 [教育学];
学科分类号
040101 ; 120403 ;
摘要
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 K-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.
引用
收藏
页数:12
相关论文
共 49 条
[1]   Graph entropies, enumeration of circuits, walks and topological properties of three classes of isoreticular metal organic frameworks [J].
Abraham, Jessie ;
Arockiaraj, Micheal ;
Jency, Joseph ;
Kavitha, S. Ruth Julie ;
Balasubramanian, Krishnan .
JOURNAL OF MATHEMATICAL CHEMISTRY, 2022, 60 (04) :695-732
[2]   Morse potential specific bond volume: a simple formula with applications to dimers and soft-hard slab slider [J].
Al-Raeei, Marwan .
JOURNAL OF PHYSICS-CONDENSED MATTER, 2022, 34 (28)
[3]   Atom-bond sum-connectivity index [J].
Ali, Akbar ;
Furtula, Boris ;
Redzepovic, Izudin ;
Gutman, Ivan .
JOURNAL OF MATHEMATICAL CHEMISTRY, 2022, 60 (10) :2081-2093
[4]   On the Geodesic Identification of Vertices in Convex Plane Graphs [J].
Alsaadi, Fawaz E. ;
Salman, Muhammad ;
Rehman, Masood Ur ;
Khan, Abdul Rauf ;
Cao, Jinde ;
Alassafi, Madini Obad .
MATHEMATICAL PROBLEMS IN ENGINEERING, 2020, 2020
[5]   PROPERTIES OF DIAMOND WITH VARYING ISOTOPIC COMPOSITION [J].
ANTHONY, TR ;
BANHOLZER, WF .
DIAMOND AND RELATED MATERIALS, 1992, 1 (5-6) :717-726
[6]   Refined degree bond partitions, topological indices, graph entropies and machine-generated boron NMR spectral patterns of borophene nanoribbons [J].
Arockiaraj, Micheal ;
Jency, Joseph ;
Maaran, Aravindan ;
Abraham, Jessie ;
Balasubramanian, Krishnan .
JOURNAL OF MOLECULAR STRUCTURE, 2024, 1295
[7]   Ultrasonic atomization: Effect of liquid phase properties [J].
Avvaru, B ;
Patil, MN ;
Gogate, PR ;
Pandit, AB .
ULTRASONICS, 2006, 44 (02) :146-158
[8]   Deformation behavior of diamond-like phases: Molecular dynamics simulation [J].
Baimova, J. A. ;
Rysaeva, L. Kh. ;
Rudskoy, A. I. .
DIAMOND AND RELATED MATERIALS, 2018, 81 :154-160
[9]   Inkjet printing of nanodiamond suspensions in ethylene glycol for CVD growth of patterned diamond structures and practical applications [J].
Chen, Yu-Chun ;
Tzeng, Yonhua ;
Cheng, An-Jen ;
Dean, Robert ;
Park, Minseo ;
Wilamowski, Bogdan M. .
DIAMOND AND RELATED MATERIALS, 2009, 18 (2-3) :146-150
[10]   Computation of Zagreb Polynomials and Zagreb Indices for Benzenoid Triangular & Hourglass System [J].
Chu, Yu-Ming ;
Khan, Abdul Rauf ;
Ghani, Muhammad Usman ;
Ghaffar, Abdul ;
Inc, Mustafa .
POLYCYCLIC AROMATIC COMPOUNDS, 2023, 43 (05) :4386-4395