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On Electron Clouds and Light
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作者 Claude Daviau 《Journal of Modern Physics》 2024年第4期491-510,共20页
The wave equation of the electron, recently improved, allows physics to obtain all the quantum numbers and other results explaining the hydrogen spectrum. The Pauli exclusion principle then gives the description of el... The wave equation of the electron, recently improved, allows physics to obtain all the quantum numbers and other results explaining the hydrogen spectrum. The Pauli exclusion principle then gives the description of electron clouds used in chemistry. The relativistic wave equation is associated with a Lagrangian density, thus also with an energy-momentum tensorial density. The wave of an electron cloud adds these energy-momentum densities, while photons in light are precisely those differences between such energy-momentum densities. 展开更多
关键词 Quantum Mechanics Nonlinear Wave Equation RELATIVITY Electron clouds PHOTON LIGHT
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Approximating the Radial Distribution Function of the Electron in a Hydrogen Atom by a Normal Distribution Suggests That Magnetic Confinement Fusion Would Be Less Energy Efficient than Inertial Confinement Fusion
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作者 Motohisa Osaka 《Applied Mathematics》 2024年第9期585-593,共9页
Since the position of the electron in a hydrogen atom cannot be determined, the region in which it resides is said to be determined stochastically and forms an electron cloud. The probability density function of the s... Since the position of the electron in a hydrogen atom cannot be determined, the region in which it resides is said to be determined stochastically and forms an electron cloud. The probability density function of the single electron in 1s orbit is expressed as φ2, a function of distance from the nucleus. However, the probability of existence of the electron is expressed as a radial distribution function at an arbitrary distance from the nucleus, so it is estimated as the probability of the entire spherical shape of that radius. In this study, it has been found that the electron existence probability approximates the radial distribution function by assuming that the probability of existence of the electron being in the vicinity of the nucleus follows a normal distribution for arbitrary x-, y-, and z-axis directions. This implies that the probability of existence of the electron, which has been known only from the distance information, would follow a normal distribution independently in the three directions. When the electrons’ motion is extremely restricted in a certain direction by the magnetic field of both tokamak and helical fusion reactors, the probability of existence of the electron increases with proximity to the nucleus, and as a result, it is less likely to be liberated from the nucleus. Therefore, more and more energy is required to free the nucleus from the electron in order to generate plasma. 展开更多
关键词 Electron cloud Radial Distribution Function Nuclear Fusion TOKAMAK Laser
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Interpretation of Some Atomistic Concepts from the Characteristic Graph of the Atom
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作者 Ousmane Barry Mamadou Yaya Balde +1 位作者 Souleymane Balde Aboubacar Safie Sylla 《Journal of Applied Mathematics and Physics》 2022年第8期2516-2526,共11页
The study of the characteristic graph of an atom in all its aspects, allows to describe the concepts of atomistic. From this graph, some concepts of the recomposition of the electronic cloud have been described by spe... The study of the characteristic graph of an atom in all its aspects, allows to describe the concepts of atomistic. From this graph, some concepts of the recomposition of the electronic cloud have been described by specific graphs derived from it. The results are very conclusive. This graph illustrates each of the concepts of atomistics such as blocks, orders, periods and electronic layers. These concepts have been represented by lines, segments and even points. This has made it possible to draw up tables with orders, periods and even their correlations. Thus, this work promotes a better understanding of theoretical concepts by transposing the “abstract” aspect to a more “concrete” aspect of these concepts. This eventually facilitates the learning of this essential part of chemistry at its core. These results indicate that the research hypothesis has been verified. 展开更多
关键词 electronic cloud Order PERIOD LAYERS BLOCKS
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Enhanced hydrogen evolution reaction in Sr doped BiFeO_(3) by achieving the coexistence of ferroelectricity and ferromagnetism at room temperature 被引量:2
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作者 Ji Qi Huan Liu +5 位作者 Ming Feng Hang Xu Haiwei Liu Chen Wang Aopei Wang Weiming Lu 《Journal of Energy Chemistry》 SCIE EI CAS CSCD 2021年第2期93-98,I0004,共7页
The perovskite transition metal oxide(TMO) has been considered in electrocatalysis for the modern clean energy technologies as its high electrochemical activity and low cost. The atomic scale engineering to the local ... The perovskite transition metal oxide(TMO) has been considered in electrocatalysis for the modern clean energy technologies as its high electrochemical activity and low cost. The atomic scale engineering to the local stoichiometry of single crystal TMO provides a clue of the relation between electronic structure and catalytic performance. Here we report a hydrogen evolution reaction(HER) activity enhancement ~ 1761% of Bi_(0.85)Sr_(0.15)FeO_3 compared to the pure BiFeO_3. By the systemic investigation of the Sr doping level of Bi_(1-x)Sr_xFeO_3(BSFO), it is found that the HER enhancement originates from the improvement of ferromagnetism of BSFO without obvious scarification of the ferroelectricity at the room temperature. The multiple ferroic orderings in BSFO are beneficial for HER activity, which offers the strengthen of hybridization of Fe 3d and O2 p orbitals from the view of ferromagnetism, and the assistance of electron drift by spontaneous electric polarization. Our study not only affords the strategy of developing multiple ferroic orderings in TMO, but also facilitates the atomic scale understanding of the improved HER activity. 展开更多
关键词 Perovskite transition metal oxide Hydrogen evolution reaction Substitution engineering Electron cloud overlap Electrochemical performance
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Simulation on buildup of electron cloud in a proton circular accelerator 被引量:3
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作者 李开玮 刘瑜冬 《Chinese Physics C》 SCIE CAS CSCD 2015年第10期115-120,共6页
Electron cloud interaction with high energy positive beams are believed responsible for various undesirable effects such as vacuum degradation, collective beam instability and even beam loss in high power proton circu... Electron cloud interaction with high energy positive beams are believed responsible for various undesirable effects such as vacuum degradation, collective beam instability and even beam loss in high power proton circular accelerators. An important uncertainty in predicting electron cloud instability lies in the detailed processes of the generation and accumulation of the electron cloud. The simulation on the build-up of electron cloud is necessary to further studies on beam instability caused by electron clouds. The China Spallation Neutron Source (CSNS) is an intense proton accelerator facility now being built, whose accelerator complex includes two main parts: an H-linac and a rapid cycling synchrotron (RCS). The RCS accumulates the 80 MeV proton beam and accelerates it to 1.6 GeV with a repetition rate of 25 Hz. During beam injection with lower energy, the emerging electron cloud may cause serious instability and beam loss on the vacuum pipe. A simulation code has been developed to simulate the build-up, distribution and density of electron cloud in CSNS/RCS. 展开更多
关键词 electron cloud INSTABILITY electron multipacting beam loss
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Studies on electron cloud instability in BEPCⅡ
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作者 刘瑜冬 岳军会 王娜 《Chinese Physics C》 SCIE CAS CSCD 2009年第S2期71-74,共4页
Electron Cloud Instability has been studied in the operation of BEPC. The BEPCⅡ began the commissioning in November 2006 and the positron beam current has reached 500 mA. Because of such a high beam current, some ins... Electron Cloud Instability has been studied in the operation of BEPC. The BEPCⅡ began the commissioning in November 2006 and the positron beam current has reached 500 mA. Because of such a high beam current, some instabilities such as ECI, bunch lengthening et al, have appeared during the operation. The experimental investigation on ECI during the commissioning of BEPCⅡ will be reported in this paper. 展开更多
关键词 electron cloud SIDEBAND coupled bunch instability feedback system blow up
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Analytical treatment of the nonlinear electron cloud effect and the combined effects with beam-beam and space charge nonlinear forces in storage rings
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作者 高杰 《Chinese Physics C》 SCIE CAS CSCD 2009年第2期135-144,共10页
In this paper we treat first some nonlinear beam dynamics problems in storage rings, such as beam dynamic apertures due to magnetic multipoles, wiggles, beam-beam effects, nonlinear space charge effect, and then nonli... In this paper we treat first some nonlinear beam dynamics problems in storage rings, such as beam dynamic apertures due to magnetic multipoles, wiggles, beam-beam effects, nonlinear space charge effect, and then nonlinear electron cloud effect combined with beam-beam and space charge effects, analytically. This analytical treatment is applied to BEPC II. The corresponding analytical expressions developed in this paper are useful both in understanding the physics behind these problems and also in making practical quick hand estimations. 展开更多
关键词 electron cloud effect beam-beam effect space charge effect storage ring BEPC II
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Secondary Electron Yield Studies on Vacuum Materials 被引量:5
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作者 张耀锋 王勇 +4 位作者 尉伟 王建平 范乐 管长应 刘祖平 《Chinese Physics C》 SCIE CAS CSCD 北大核心 2008年第z1期68-70,共3页
A secondary electron yield test device for vacuum material study is set up,and its detailed design described in this paper.The test results for a few common vacuum materials with and without TiN film coating are prese... A secondary electron yield test device for vacuum material study is set up,and its detailed design described in this paper.The test results for a few common vacuum materials with and without TiN film coating are presented,and the influential factors on secondary electron yield are analyzed.All the work will be helpful to the surface pretreatment of vacuum materials. 展开更多
关键词 electron cloud electron secondary yield vacuum chamber material TiN coating
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Electron proton instability in the CSNS ring
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作者 王娜 秦庆 刘瑜冬 《Chinese Physics C》 SCIE CAS CSCD 2009年第S2期8-11,共4页
The electron proton (e-p) instability has been observed in many proton accelerators. It will induce transverse beam size blow-up, cause beam loss and restrict the machine performance. Much research work has been done ... The electron proton (e-p) instability has been observed in many proton accelerators. It will induce transverse beam size blow-up, cause beam loss and restrict the machine performance. Much research work has been done on the causes, dynamics and cures of this instability. A simulation code is developed to study the e-p instability in the ring of the China Spallation Neutron Source (CSNS). 展开更多
关键词 electron cloud INSTABILITY
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