Journal of Mathematical Chemistry最新文献

Guest editorial for the special collection of mathematical chemistry papers 数学化学论文特辑》特约编辑

IF 1.7 3区化学

Journal of Mathematical Chemistry Pub Date : 2024-10-16 DOI: 10.1007/s10910-024-01676-8

Subhash C. Basak, Tanmoy Chakraborty

引用次数: 0

Mathematical modeling of hydrogen evolution by $${{{H}}}^{+}$$ and $${{{H}}}_{2}{{O}}$$ reduction at a rotating disk electrode: theoretical and numerical aspects 通过旋转盘电极上的 $${{{H}}^{+}$ 和 $${{{{H}}}_{2}{{O}}$ 还原进行氢演化的数学建模：理论和数值方面的问题

IF 1.7 3区化学

Journal of Mathematical Chemistry Pub Date : 2024-09-17 DOI: 10.1007/s10910-024-01675-9

K. V. Tamil Selvi, Navnit Jha, A. Eswari, L. Rajendran

{"title":"Mathematical modeling of hydrogen evolution by $${{{H}}}^{+}$$ and $${{{H}}}_{2}{{O}}$$ reduction at a rotating disk electrode: theoretical and numerical aspects","authors":"K. V. Tamil Selvi, Navnit Jha, A. Eswari, L. Rajendran","doi":"10.1007/s10910-024-01675-9","DOIUrl":"https://doi.org/10.1007/s10910-024-01675-9","url":null,"abstract":"This paper discusses mathematical model of hydrogen evolution via ({H}^{+}) and ({H}_{2}O) reduction at a rotating disc electrode. Rotating disc electrodes are the preferred technology for analysing electrochemical processes in electrically powered cells and another rotating machinery, such as combustion engines, air compressors, gearboxes, and generators. The theory of nonlinear convection–diffusion equations provides the foundation for the model. In the present study, the Akbari-Ganji approach is utilised to solve, concurrently, the mass transport equations of ({H}^{+}) and ({OH}^{-}) in the electrolyte and on the electrode surface under steady-state circumstances. A general and simple analytical expression is obtained for the reactants' hydrogen and hydroxide ion concentrations. Additionally, numerical solutions using non-standard finite difference methods are presented, and compared with the analytical solution. The exact solution for the limiting case results is presented and examined with the general results. Furthermore, the graphs and tables that compare the theoretical and numerical solutions demonstrated the accuracy and dependability of our paradigm.","PeriodicalId":648,"journal":{"name":"Journal of Mathematical Chemistry","volume":"45 1","pages":""},"PeriodicalIF":1.7,"publicationDate":"2024-09-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142262387","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"化学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

A first-rate fourteenth-order phase-fitting approach to solving chemical problems 解决化学问题的一流十四阶相位拟合方法

IF 1.7 3区化学

Journal of Mathematical Chemistry Pub Date : 2024-09-17 DOI: 10.1007/s10910-024-01668-8

Mei Hong, Chia-Liang Lin, T. E. Simos

引用次数: 0

On the uniqueness of continuous and discrete hard models of NMR-spectra 论 NMR 光谱连续和离散硬模型的唯一性

IF 1.7 3区化学

Journal of Mathematical Chemistry Pub Date : 2024-09-16 DOI: 10.1007/s10910-024-01673-x

Jan Hellwig, Klaus Neymeyr

引用次数: 0

Numerical analysis of fourth-order multi-term fractional reaction-diffusion equation arises in chemical reactions 化学反应中出现的四阶多期分数反应-扩散方程的数值分析

IF 1.7 3区化学

Journal of Mathematical Chemistry Pub Date : 2024-09-06 DOI: 10.1007/s10910-024-01670-0

Reetika Chawla, Devendra Kumar, J. Vigo-Aguiar

{"title":"Numerical analysis of fourth-order multi-term fractional reaction-diffusion equation arises in chemical reactions","authors":"Reetika Chawla, Devendra Kumar, J. Vigo-Aguiar","doi":"10.1007/s10910-024-01670-0","DOIUrl":"https://doi.org/10.1007/s10910-024-01670-0","url":null,"abstract":"The time-fractional fourth-order reaction-diffusion problem, which contains more than one time-fractional derivative of orders lying between 0 and 1, is considered. This problem is the generalized version of the problem discussed by Nikan et al. Appl. Math. Model. 89 (2021), 819–836 that has only one time-fractional derivative. It is widely used in the study of chemical waves and patterns in reaction-diffusion systems. The analysis of non-smooth solutions to this problem is discussed broadly using the Caputo-time fractional derivative. The non-smooth solutions to the problem have a weak singularity close to zero that can be efficiently handled by considering the non-uniform mesh. The method based on the non-uniform time stepping is an efficacious way to regain accuracy. The current study presents the trigonometric quintic B-spline approach to solve this multi-term time-fractional fourth-order problem using graded mesh and effective grading parameters. The stability and convergence results are proved through rigorous analysis, which helps choose the optimal grading parameter. The accuracy and effectiveness of our technique are observed in our numerical experiments that manifest the comparison of uniform and non-uniform meshes.","PeriodicalId":648,"journal":{"name":"Journal of Mathematical Chemistry","volume":"17 1","pages":""},"PeriodicalIF":1.7,"publicationDate":"2024-09-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142179938","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"化学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Thermodynamical quantities of silver mono halides from spectroscopic data 从光谱数据得出卤化银的热力学量

IF 1.7 3区化学

Journal of Mathematical Chemistry Pub Date : 2024-08-27 DOI: 10.1007/s10910-024-01664-y

Shipra Tripathi, Abhi Sarika Bharti, Kailash Narayan Uttam, C. K. Dixit, Anjani K. Pandey

{"title":"Thermodynamical quantities of silver mono halides from spectroscopic data","authors":"Shipra Tripathi, Abhi Sarika Bharti, Kailash Narayan Uttam, C. K. Dixit, Anjani K. Pandey","doi":"10.1007/s10910-024-01664-y","DOIUrl":"https://doi.org/10.1007/s10910-024-01664-y","url":null,"abstract":"The diatomic molecules have gained increased interest over the past several years in both experiment and theoretical studies because of their importance in astrophysical processes and many chemical reactions. Thermodynamical quantities such as enthalpy, entropy, heat capacity and free energy have their potential applications in various fields of science. Investigations in high temperature chemistry, astrophysics, and other disciplines require the knowledge of the thermodynamic properties of diatomic molecules. The plausibility of predictive models obtained in such investigations relies on the accuracy of these data. The scrutiny of the literature reveals that thermodynamic data are often absent or have scattered values in different research articles and handbooks. The main requirements to thermodynamic values are their reliability, mutual consistency, and so forth. In the present theoretical study, thermodynamic values are estimated by using spectroscopic data which are microscopic in nature, whereas thermodynamical quantities are macroscopic in nature. Attempts have been made to calculate the thermodynamical quantities of silver monohalides (AgF, AgCl, AgBr and AgI) from spectroscopic data with the help of partition function theory. The results have been calculated in the temperature range 100–3000 °C. In order to increase accuracy of the calculated quantities, we have incorporated non-rigidity, anharmonocity, and stretching effects of molecules. The variation of these quantities with temperature have been studied and explained in terms of various modes of molecular motions.","PeriodicalId":648,"journal":{"name":"Journal of Mathematical Chemistry","volume":"172 1","pages":""},"PeriodicalIF":1.7,"publicationDate":"2024-08-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142179939","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"化学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Resolving the problem of multiple control parameters in optimized Borel-type summation 解决优化伯尔式求和中的多控制参数问题

IF 1.7 3区化学

Journal of Mathematical Chemistry Pub Date : 2024-08-26 DOI: 10.1007/s10910-024-01669-7

V. I. Yukalov, S. Gluzman

引用次数: 0

Stability of a reactor with Niederlinski criterion using RGA matrices 使用 RGA 矩阵的 Niederlinski 准则反应堆的稳定性

IF 1.7 3区化学

Journal of Mathematical Chemistry Pub Date : 2024-08-26 DOI: 10.1007/s10910-024-01672-y

Macarena Boix, Begoña Cantó, Maria T. Gassó

引用次数: 0

Dynamical behaviors of a stochastic multi-molecule biochemical reaction model with Ornstein-Uhlenbeck process 具有 Ornstein-Uhlenbeck 过程的随机多分子生化反应模型的动力学行为

IF 1.7 3区化学

Journal of Mathematical Chemistry Pub Date : 2024-08-06 DOI: 10.1007/s10910-024-01653-1

Ying Yang, Jing Guo

引用次数: 0

Advancing understanding of molecular interactions: computational studies on DNA nucleobases and gold nanoparticles using density functional theory 加深对分子相互作用的理解：利用密度泛函理论对 DNA 核碱基和金纳米粒子进行计算研究

IF 1.7 3区化学

Journal of Mathematical Chemistry Pub Date : 2024-08-02 DOI: 10.1007/s10910-024-01659-9

Saurav Mishra, Brijesh Kumar Pandey, Jyoti Gupta

{"title":"Advancing understanding of molecular interactions: computational studies on DNA nucleobases and gold nanoparticles using density functional theory","authors":"Saurav Mishra, Brijesh Kumar Pandey, Jyoti Gupta","doi":"10.1007/s10910-024-01659-9","DOIUrl":"https://doi.org/10.1007/s10910-024-01659-9","url":null,"abstract":"Molecular interactions aid in our understanding of how proteins function and behave. As they can help us predict the biological functions of unknown proteins in living organisms in this work, DNA nucleobases are studied, which can assist us in characterizing protein complexes, cellular pathways, and functional modules. Density functional theory examines how different gold nanoparticles interact with DNA nucleobase monomers (DFT). At B3LYP, the 6-311-G basis set was used to optimize the molecular geometries of various nucleobases. At LANL2DZ as the basis set, molecular geometries of diverse gold nanoparticles are optimized. At standard pressure and temperature, binding energy, interaction energy, and Bandgap were estimated along with its IR and UV spectrum were studied. Our simulation results clearly show that the hydrogen bondings are intensified and more likely to occur as the size of the nucleobases and gold nanoparticles increases. Hydrogen bonding is also essential for the delivery of medications and the sequencing of genes in molecules. In our computational investigations, the interaction between different DNA nucleobases and gold nanoparticles is examined to find out how other nucleobases are affected by gold nanoparticles. The interaction between gold nanoparticles and diverse nucleobases is investigated to understand the behavior of nanoparticles with different nucleobases. The molecule composed of six gold atoms was discovered to be the most stable of all the optimized gold compounds. Our computational results can be explained by the polarization of gold molecules and their electronic energy.","PeriodicalId":648,"journal":{"name":"Journal of Mathematical Chemistry","volume":"50 1","pages":""},"PeriodicalIF":1.7,"publicationDate":"2024-08-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141887189","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"化学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0