On physical analysis of entropy measures for sodium oxide via statistical models

被引:0
|
作者
Zhen, Wang [1 ]
Hussain, Mazhar [2 ]
Siddiqui, Muhammad Kamran [2 ]
Javed, Sana [2 ]
Khalid, Sadia [2 ]
Amin, Naima [3 ]
机构
[1] Anhui Wonder Univ Informat Engn, Sch Liberal Studies, Hefei, Peoples R China
[2] COMSATS Univ Islamabad, Dept Math, Lahore Campus, Islamabad, Pakistan
[3] COMSATS Univ Islamabad, Dept Phys, Lahore Campus, Islamabad, Pakistan
关键词
curve fitting; entropy; heat of formation; mathematical model; sodium oxide; statistical test; topological index; ATOM-BOND CONNECTIVITY; MOLECULAR-ORBITALS; GRAPH-THEORY; INDEX; SIMULATION; DYNAMICS; GLASS;
D O I
10.1002/qua.27295
中图分类号
O64 [物理化学(理论化学)、化学物理学];
学科分类号
070304 ; 081704 ;
摘要
This study delves into a comprehensive physical analysis of entropy measures applied to sodium oxide Na2O. A key idea in information theory and thermodynamics, entropy is essential to comprehending the stability of a system. The study clarifies the intricate relationships and physical properties of Na2O by combining theoretical analysis with statistical methods, providing important knowledge for material design and industrial operations. In a chemical graph, atoms are shown by vertices while their bonding are illustrated by edges. Sodium oxide is a major contributor to manufacture glass, it also has potential applications in CO2 sequestration, transparent materials, biomedical devices and nano grating glass. A topological index is a relationship between the molecular graph and its topology. We have computed various graph entropies based on different topological indices of chemical graph of sodium oxide. Further we have integrated these graph entropies with distinct thermodynamical measures of sodium oxide by developing mathematical models between both quantities. We have developed these mathematical frameworks in MATLAB. All the models are selected relying on the least mean squared error or sum of squared error. This study delves into a comprehensive physical analysis of entropy measures applied to sodium oxide. A key idea in information theory and thermodynamics, entropy is essential to comprehending the stability of a system. The study clarifies the intricate relationships and physical properties of by combining theoretical analysis with statistical methods, providing important knowledge for material design and industrial operations. In a chemical graph, atoms are shown by vertices while their bonding are illustrated by edges. Sodium oxide is a major contributor to manufacture glass, it also has potential applications in Copper Oxide sequestration, transparent materials, biomedical devices, and Nano grating glass. A topological index is a relationship between the molecular graph and its topology. We have computed various graph entropies based on different topological indices of chemical graph of sodium oxide. Further we have integrated these graph entropies with distinct thermodynamically measures of sodium oxide by developing mathematical models between both quantities. We have developed these mathematical frameworks in MATLAB. image
引用
收藏
页数:20
相关论文
共 50 条
  • [21] The Relationship between Entropy and the Reliability Function in Application of Physical and Statistical Approach to Nanosystems
    Sergeevich, Kozhevnikov Vladislav
    Matyushkin, Igor Valerievich
    Vladimirovich, Chernyaev Nikolay
    NANO HYBRIDS AND COMPOSITES, 2020, 28 : 93 - 111
  • [22] Statistical analysis of complex systems with nonclassical invariant measures
    Fratalocchi, A.
    PHYSICAL REVIEW E, 2011, 83 (02)
  • [23] Analysis of a supersaturated design using Entropy Prior Complexity for binary responses via generalized linear models
    Balakrishnan, N.
    Koukouvinos, C.
    Parpoula, C.
    STATISTICAL METHODOLOGY, 2012, 9 (04) : 478 - 485
  • [24] Combining Entropy Measures and Cepstral Analysis for Pathological Voices Assessment
    Vieira, Raissa Tavares
    Brunet, Nathalia
    Costa, Silvana Cunha
    Correia, Suzete
    Aguiar Neto, Benedito G.
    Fechine, Joseana M.
    JOURNAL OF MEDICAL AND BIOLOGICAL ENGINEERING, 2012, 32 (06) : 429 - 435
  • [25] Statistical Inference on the Entropy Measures of Gamma Distribution under Progressive Censoring: EM and MCMC Algorithms
    Ahmed, Essam A.
    El-Morshedy, Mahmoud
    Al-Essa, Laila A.
    Eliwa, Mohamed S.
    MATHEMATICS, 2023, 11 (10)
  • [26] Permutation Entropy and Statistical Complexity Analysis of Brazilian Agricultural Commodities
    Antunes de Araujo, Fernando Henrique
    Bejan, Lucian
    Rosso, Osvaldo A.
    Stosic, Tatijana
    ENTROPY, 2019, 21 (12)
  • [27] Analysis of Operating Modes for Left Ventricle Assist Devices via Integrated Models of Blood Circulation
    Simakov, Sergey
    Timofeev, Alexander
    Gamilov, Timur
    Kopylov, Philip
    Telyshev, Dmitry
    Vassilevski, Yuri
    MATHEMATICS, 2020, 8 (08)
  • [28] Information-theoretical analysis of statistical measures for multiscale dynamics
    Asuke, Naoki
    Yamagami, Tomoki
    Mihana, Takatomo
    Rohm, Andre
    Horisaki, Ryoichi
    Naruse, Makoto
    CHAOS, 2023, 33 (04)
  • [29] Modification of the GALDIT framework using statistical and entropy models to assess coastal aquifer vulnerability
    Bordbar, Mojgan
    Neshat, Aminreza
    Javadi, Saman
    HYDROLOGICAL SCIENCES JOURNAL-JOURNAL DES SCIENCES HYDROLOGIQUES, 2019, 64 (09): : 1117 - 1128
  • [30] Structure and physical properties of sodium borate glasses containing nickel oxide
    Farouk, H.
    Abo-Zeid, Y.M.
    Khaled, M.A.
    Kashif, I.
    Sanad, A.M.
    Journal of Materials Science: Materials in Electronics, 1995, 6 (06): : 393 - 396