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Approximate analytical solutions and mean energies of stationary Schrodinger equation for general molecular potential

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Chinese Physics B 2021年第7期30卷 116-131页

作者： Eyube E S Rawen B o ibrahim N Department of Physics School of Physical SciencesModibbo Adama University of TechnologyP M B 2076 YolaAdamawa StateNigeria Directorate of Basic and Remedial Studies Abubakar Tafawa Balewa University(ATBU)P M B 750001BauchiBauchi StateNigeria Department of Physics Faculty of ScienceP M B 1069MaiduguriBorno StateNigeria

The Schrodinger equation is solved with general molecular potential via the improved quantization *** for bound state energy eigenvalues,radial eigenfunctions,mean kinetic energy,and potential energy are obtained in compact *** modeling the centrifugal term of the effective potential,a Pekeris-like approximation scheme is ***,we use the Hellmann–Feynman theorem to derive the relation for expectation *** state energy eigenvalues,wave functions and meanenergies of Woods–Saxon potential,morse potential,mobius squared and Tietz–Hua oscillators are deduced from the general molecular *** addition,we use our equations to compute the bound state energy eigenvalues and expectation values for four diatomic molecules viz.H_(2),Co,HF,and o_(2).Results obtained are in perfect agreement with the data available from the literature for the potentials and *** also show that as the vibrational quantum number increases,the mean kinetic energy for the system in a Tietz–Hua potential increases slowly to a threshold value and then *** in a morse potential,the mean kinetic energy increases linearly with vibrational quantum number increasing.

关键词： general molecular potential Schrodinger equation improved quantization rule

Bianchi type I in f(T) gravitational theories

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Chinese Physics B 2016年第5期25卷 58-64页

作者： M I Wanas G G L Nashed o A ibrahim Astronomy Department Faculty of Science Cairo University Cairo Egypt Centre for Theoretical Physics The British University in Egypt El-Sherouk City Egypt Mathematics Department Faculty of Science Ain Shams University Cairo Egypt Egyptian Relativity Group (ERG) Giza Egypt

A tetrad field that is homogeneous and anisotropic which contains two unknown functions A（t） and B（t） of cosmic time is applied to the field equations of f（T）, where T is the torsion scalar, T = T~μ_（νρ）S_μ^（νρ）. We calculate the equation of continuity and rewrite it as a product of two brackets, the first is a function of f（T） and the second is a function of the two unknowns A（t） and B（t）. We use two different relations between the two unknown functions A（t） and B（t） in the second bracket to solve it. Both of these relations give constant scalar torsion and solutions coincide with the de Sitter one. So,another assumption related to the contents of the matter fields is postulated. This assumption enables us to drive a solution with a non-constant value of the scalar torsion and a form of f（T） which represents ΛCDM.

关键词： f(T) gravitational theory Bianchi type I special solutions

Supplementary optical solitonic expressions for Gerdjikov–Ivanov equations with three Kudryashov-based methods

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Communications in Theoretical Physics 2024年第12期76卷 3-14页

作者： F A Althrwi A A Alshaery H o Bakodah Rahmatullah ibrahim Nuruddeen Department of Mathematics and Statistics Faculty of Science University of Jeddah Department of Mathematics Faculty of Physical Sciences Federal University Dutse

The present manuscript uses three Kudryashov-based methods to analytically inspect the class of Gerdjikov–Ivanov equations, which comprises the standard Gerdjikov–Ivanov equation and the perturbed Gerdjikov–Ivanov equation. Various optical solitonic solutions have been ***, as the reported solitonic structures happened to be exponential functions, diverse true solitonic solutions can easily be resorted to upon suitably fixing the involving parameters,including mainly the bright and singular solitons. Lastly, the study graphically examined some of the constructed structures, which were then found to portray some interesting known shapes in the theory of solitary waves and nonlinear Schr?dinger equations. Additionally, the Kudryashovindex d has been noted to play a significant role in the propagation of complex waves in the nonlinear media described by Gerdjikov–Ivanov equations.

关键词： Gerdjikov-Ivanov equation Kudryashov-based methods perturbed Gerdjikov-Ivanov equation Schrödinger equations solitonic solutions

Ballistic resistance and energy dissipation of woven-fabric composite targets:Insights on the effects of projectile shape and obliquity angle

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Defence Technology（防务技术） 2023年第3期21卷 14-32页

作者： ibrahim Goda UniversitéBourgogne Franche-Comté FEMTO-ST InstituteDépartement Mécanique Appliquée24 Rue de L’Épitaphe25000BesançonFrance

This study aims at investigating the ballistic resistance and energy absorption in woven E-glass composite panels,considering different projectile nose shapes and oblique incidence *** that scope,three-dimensional finite element(FE)models of both projectiles and the laminated target are developed and numerical investigations are carried out using Abaqus Explicit *** composite damage model’s constitutive law encompasses nonlinear material response,material properties degradation,progressive failure,and an element deletion *** cohesive surface technique is used to represent the interface between two adjacent plies in the laminate,and the traction-separation law is used to characterize the behaviors of interlaminar degradation and *** responses attributable to fiber rupture,matrix cracking,and plasticity caused by micro-matrix cracking due to shear loading are taken into account with suitable damage evolution *** computational framework is first validated against the experimental results reported in the literature by performing ballistic impact tests on the target laminate with conical,hemispherical and blunt-ended projectile,and the numerical results showed a good comparison in terms of residual *** the framework is explored in simulating more complex failure mechanisms,with particular emphasis on the influence of the impact angle of obliquity,a parameter that is not usually analyzed in the *** that regard,the effects of normal and oblique impact on the damage morphologies and ballistic behavior of the fabric composite target in terms of energy absorption,impact contact force,and projectile residual velocity are conducted and analyzed,*** findings showed that the ballistic impact behavior of target composite is substantially influenced by projectile nose shape and incidence angle obliquity.

关键词： resistance cracking composite

Determining the thermophysical properties of Al-doped Zno nanoparticles by the photoacoustic technique

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Chinese Physics B 2013年第7期22卷 280-285页

作者： T. A. El-Brolossy o. Saber S. S. ibrahim Department of Physicsh Faculty of ScienceKing Faisal University Department of Physics Faculty of ScienceAin Shams University Egyptian Petroleum Research Institute Department of Physics Faculty of ScienceCairo University

The thermal conductivity and specific heat capacity of undoped and Al-doped （1–10 at.%） Zno nanoparticles prepared using the solvent thermal method are determined by measuring both thermal diffusivity and thermal effusivity of a pressed powder compact of the prepared nanoparticles by using the laser-induced photoacoustic technique. The impact of Al doping versus the microstructure of the samples on such thermal parameters has been investigated. The results reveal an obvious enhancement in the specific heat capacity when decreasing the particle size, while the effect of Al doping on the specific heat capacity is minor. The measured thermal conductivities are about one order of magnitude smaller than that of the bulk Zno due to several nested reducing heat transfer mechanisms. The results also show that Al doping significantly influences the thermal resistance. Using a simple thermal impedance model, the added thermal resistance due to Al dopant has been estimated.

关键词： Zno nanoparticles microstructure specific heat thermal conductivity

Effect of Aging on the Toughness of Austenitic and Duplex Stainless Steel Weldments

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journal of Materials Science & Technology 2010年第9期26卷 810-816页

作者： omyma Hassan ibrahim ibrahim Soliman ibrahim Tarek Ahmed Fouad Khalifa Metallurgy Dept. Nuclear Research CentreAtomic Energy Authority(Egypt) Nuclear Safety Centre Atomic Energy Authority(Egypt) Shoubra Faculty of Engineering Benha University

In the present study,the effect of aging heat treatment at 650,750,and 850？C on the impact toughness of 316L austenitic stainless steel,2205 duplex stainless steel and their weldments has been *** process was conducted using the TIG（tungsten inert gas） welding *** impact testing,at room temperature,was employed to determine the effect of aging treatment on the impact properties of investigated *** treatment resulted in degradation in the impact toughness as demonstrated by the reduction in the impact fracture energy and deformation parameters（strain hardening capacity,fracture deffection,and crack initiation and propagation energy）.The degree of embrittlement was more noticeable in duplex stainless steel parent and weld-metal than in 316L stainless steel and became greater with the increase of aging *** degradation in impact toughness was discussed in relation to the observed precipitation of the intermetallic sigma phase in the microstructure of the stainless steel weldments and the corresponding fracture surface morphology.

关键词： Austenitic and duplex stainless steels Aging Instrumented impact Toughness

NEW PoLY(METHACRYLATE)S CoNTAINING oXIME ESTERS moIETIES BASED oN CYCLoHEXANoN AND CYCLoPENTANoN

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Chinese journal of Polymer Science 2008年第4期26卷 443-454页

作者： ibrahim Erol Afyon Kocatepe Universty Faculty of Science and Arts Department of ChemistryAfyonkarahisarTurkey

The synthesis of two new methacrylates such as 2-[(cyclohexylideneamino)oxy]-2-oxoethyl methylacrylate (CHoEMA)and 2-[(cyclopentylideneamino)oxy]-2-oxoethyl methylacrylate(CPoEMA)are *** mo.o.ers produced from the reaction of corresponding cyclohexanone o-(2-chloroacetyl)oxime and cyclopentanone o-(2- chloroacetyl)oxime with sodium methacrylate was polymerized in 1,4-dioxane solution at 65℃using AIBN as an initiator. The mo.o.ers and their polymers were characterized by IR,~1H- and ^(13)C-NMR spec...

关键词： Methacrylate oxime esters Activation energy Thermal decompositionv Biological activitiy

Wear Behaviour of Plasma Paste Boronized of AISI 8620 Steel with Borax and B_2o_3 Paste Mixtures

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journal of Materials Science & Technology 2013年第7期29卷 662-668页

作者： ibrahim Gunes Department of Metallurgical and Materials Engineering Faculty of TechnologyAfyon Kocatepe UniversityAfyonkarahisar 03200Turkey

In the present study, AlSl 8620 steel was plasma paste boronized （PPB） by using paste mixtures with different borax and B2o3 percentages. The PPB process was carried out in a DC plasma system at 973, 1023 and 1073 K for 5 h in a gas mixture with 70% H2-30% Ar under a constant pressure of 103 Pa （10 mbar）. The thickness of boride layers ranged from 15.9 to 53.6 tim depending on the temperature and process time. The hardness of the borides formed on the surface of the steel substrate and unborided steel substrate were 1648-1924 HV0.05 and 226 HV0.05, respectively. X-ray diffraction analysis of the boride layers on the surface of the samples were obtained for FeB and Fe2B phases. The wear tests on the steel were performed by using a ball-on-disc test device at room temperature with applied load of 10 N and with a shear velocity of 0.2 m/s. Wear test results showed that the highest value of wear rate was observed in the unborided sample while the lowest wear rate was observed in the PPB samples with 30% borax ＋ 70% B4C paste at 1073 K for 5 h.

关键词： Coating Borax B2o3 Wear Coefficient of friction

Recent advances on flexible electrodes for Na-ion batteries and Li–S batteries

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journal of Energy Chemistry 2019年第5期28卷 15-44页

作者： mohammed-ibrahim Jamesh Department of Physics and Materials Science City University of Hong Kong Applied and Plasma Physics School of Physics (A28) University of Sydney CSIR-Central Electrochemical Research Institute-Chennai Unit CSIR Madras Complex

Flexible energy storage devices are essential for emerging flexible electronics. The existing state-of-the-art Li-ion batteries are slowly reaching their limitation in terms of cost and energy density. Hence, flexible Na-ion batteries (SIBs) with abundanee Na resources and Li-S batteries with high energy density become the alternative for the Li-ion batteries in future. This review summarizes the recent advances in the development of flexible electrode materials for SIBs with metallic matrix and carb on aceous matrix such as carb on nano-tubes, carbon nano-fiber, graphene, carbon cloth, carbon fiber cloth, and cotton textiles. Then, the potential prototype flexible full SIBs are discussed. Further, the recent progress in the development of flexible electrode materials for Li-S batteries based on carb on nano-fiber, carb on nano-tubes, graphene, and cotton textiles is reviewed. moreover, the design strategies of suitable interlayer, separator, electrolyte, and electrodes to prevent the dissolution and shuttle effect of polysulfides in flexible Li-S batteries are provided. Finally some prospective investigation trends towards future research of flexible SIBs and Li-S batteries are also proposed and discussed. The scientific and engineering knowledge gained on flexible SIBs and Li-S batteries provides conceivable development for practical application in near future.

关键词： Na-ion batteries Lithium-sulfur batteries Flexible Free-standing High performance energy storage Long cycle life