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Two-dimensional atom localization induced by a squeezed vacuum
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作者 王飞 徐俊 《Chinese Physics B》 SCIE EI CAS CSCD 2016年第10期139-148,共10页
A scheme of two-dimensional(2D) atom localization induced by a squeezed vacuum is proposed, in which the threelevel V-type atoms interact with two classical standing-wave fields. It is found that when the environment ... A scheme of two-dimensional(2D) atom localization induced by a squeezed vacuum is proposed, in which the threelevel V-type atoms interact with two classical standing-wave fields. It is found that when the environment is changed from an ordinary vacuum to a squeezed vacuum, the 2D atom localization is realized by detecting the position-dependent resonance fluorescence spectrum. For comparison, we demonstrate that the atom localization originating from the quantum interference effect is distinct from that induced by a squeezed vacuum. Furthermore, the combined effects of the squeezed vacuum and quantum interference are also discussed under appropriate conditions. The internal physical mechanism is analyzed in terms of dressed-state representation. 展开更多
关键词 atom localization squeezed vacuum resonance fluorescence
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High-precision three-dimensional atom localization via probe absorption at room temperature
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作者 Mengmeng Luo Wenxiao Liu +1 位作者 Dingyu Cai Shaoyan Gao 《Chinese Physics B》 SCIE EI CAS CSCD 2020年第12期258-264,共7页
A scheme is used to explore the behavior of three-dimensional(3D)atom localization in a Y-type hot atomic system.We can obtain the position information of the atom due to the position-dependent atom–field interaction... A scheme is used to explore the behavior of three-dimensional(3D)atom localization in a Y-type hot atomic system.We can obtain the position information of the atom due to the position-dependent atom–field interaction.We study the influences of the system parameters and the temperature on the atom localization.More interestingly,the atom can be localized in a subspace when the temperature is equal to 323 K.Moreover,a method is proposed to tune multiparameter for localizing the atom in a subspace.The result is helpful to achieve atom nanolithography,photonic crystal and measure the center-of-mass wave function of moving atoms. 展开更多
关键词 three-dimensional atom localization probe absorption Doppler effect
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Two-dimensional atom localization via probe absorption in a four-level atomic system
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作者 王志平 葛强 +1 位作者 阮于华 俞本立 《Chinese Physics B》 SCIE EI CAS CSCD 2013年第7期202-207,共6页
We have investigated the two-dimensional (2D) atom localization via probe absorption in a coherently driven four-level atomic system by means of a radio-frequency field driving a hyperfine transition. It is found th... We have investigated the two-dimensional (2D) atom localization via probe absorption in a coherently driven four-level atomic system by means of a radio-frequency field driving a hyperfine transition. It is found that the detecting probability and precision of 2D atom localization can be significantly improved via adjusting the system parameters. As a result, our scheme may be helpful in laser cooling or the atom nano-lithography via atom localization. 展开更多
关键词 two-dimensional (2D) atom localization probe absorption four-level atomic system
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High-precision two-dimensional atom localization via probe absorption in an M-scheme atomic system
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作者 吴建春 刘正东 郑军 《Chinese Physics B》 SCIE EI CAS CSCD 2013年第4期264-267,共4页
In the present paper, we investigate the behavior of two-dimensional atom localization in a five-level M-scheme atomic system driven by two orthogonal standing-wave fields. We find that the precision and resolution of... In the present paper, we investigate the behavior of two-dimensional atom localization in a five-level M-scheme atomic system driven by two orthogonal standing-wave fields. We find that the precision and resolution of the atom localization depends on the probe field detuning significantly. And because of the effect of the microwave field, an atom can be located at a particular position via adjusting the system parameters. 展开更多
关键词 two-dimensional atom localization probe absorption
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Tailoring local structures of atomically dispersed copper sites for highly selective CO_(2) electroreduction
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作者 Kyung‐Jong Noh Byoung Joon Park +5 位作者 Ying Wang Yejung Choi Sang‐Hoon You Yong‐Tae Kim Kug‐Seung Lee Jeong Woo Han 《Carbon Energy》 SCIE EI CAS CSCD 2024年第4期79-90,共12页
Atomically‐dispersed copper sites coordinated with nitrogen‐doped carbon(Cu–N–C)can provide novel possibilities to enable highly selective and active electrochemical CO_(2) reduction reactions.However,the construc... Atomically‐dispersed copper sites coordinated with nitrogen‐doped carbon(Cu–N–C)can provide novel possibilities to enable highly selective and active electrochemical CO_(2) reduction reactions.However,the construction of optimal local electronic structures for nitrogen‐coordinated Cu sites(Cu–N_(4))on carbon remains challenging.Here,we synthesized the Cu–N–C catalysts with atomically‐dispersed edge‐hosted Cu–N_(4) sites(Cu–N_(4)C_(8))located in a micropore between two graphitic sheets via a facile method to control the concentration of metal precursor.Edge‐hosted Cu–N_(4)C_(8) catalysts outperformed the previously reported M–N–C catalysts for CO_(2)‐to‐CO conversion,achieving a maximum CO Faradaic efficiency(FECO)of 96%,a CO current density of–8.97 mA cm^(–2) at–0.8 V versus reversible hydrogen electrode(RHE),and over FECO of 90%from–0.6 to–1.0 V versus RHE.Computational studies revealed that the micropore of the graphitic layer in edge‐hosted Cu–N_(4)C_(8) sites causes the d‐orbital energy level of the Cu atom to shift upward,which in return decreases the occupancy of antibonding states in the*COOH binding.This research suggests new insights into tailoring the locally coordinated structure of the electrocatalyst at the atomic scale to achieve highly selective electrocatalytic reactions. 展开更多
关键词 atomic local structure density functional theory electrochemical CO_(2)reduction metal nitrogen‐doped carbon single‐atom catalyst
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Unveiling the early stage evolution of local atomic structures in the crystallization process of a metallic glass
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作者 马琳 杨晓东 +2 位作者 杨锋 周鑫嘉 武振伟 《Chinese Physics B》 SCIE EI CAS CSCD 2024年第3期58-64,共7页
The early stage evolution of local atomic structures in a multicomponent metallic glass during its crystallization process has been investigated via molecular dynamics simulation.It is found that the initial thermal s... The early stage evolution of local atomic structures in a multicomponent metallic glass during its crystallization process has been investigated via molecular dynamics simulation.It is found that the initial thermal stability and earliest stage evolution of the local atomic clusters show no strong correlation with their initial short-range orders,and this leads to an observation of a novel symmetry convergence phenomenon,which can be understood as an atomic structure manifestation of the ergodicity.Furthermore,in our system we have quantitatively proved that the crucial factor for the thermal stability against crystallization exhibited by the metallic glass is not the total amount of icosahedral clusters,but the degree of global connectivity among them. 展开更多
关键词 metallic glass CRYSTALLIZATION molecular dynamics simulation local atomic clusters
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Three-dimensional atom localization via spontaneous emission in a four-level atom
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作者 Fei Song Jin-Yu Chen +1 位作者 Zhi-Ping Wang Ben-Li Yu 《Frontiers of physics》 SCIE CSCD 2018年第5期175-181,共7页
We investigate high-precision three-dimensional (3D) atom localization in a coherently-driven, four- level atomic system via spontaneous emission. Space-dependent atom-field interactions allow atomic position inform... We investigate high-precision three-dimensional (3D) atom localization in a coherently-driven, four- level atomic system via spontaneous emission. Space-dependent atom-field interactions allow atomic position information to be obtained by measuring parameters, atoms within a certain range can be spontaneous emission. By properly varying system localized with nearly a probability of 100% and a maximal resolution of -0.04λ. This scheme may be useful for the high-precision measurement of the center-of-mass wave functions of moving atoms and in atom nanolithography. 展开更多
关键词 atom localization spontaneous emission dressed-state picture
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Efficient two-dimensional atom localization in a five-level conductive chiral atomic medium via birefringence beam absorption spectrum
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作者 Sajid Ali Muhammad Idrees +2 位作者 Bakth Amin Bacha Arif Ullah Muhammad Haneef 《Communications in Theoretical Physics》 SCIE CAS CSCD 2021年第1期25-34,共10页
We have theoretically investigated two-dimensional atom localization using the absorption spectra of birefringence beams of light in a single wavelength domain.The atom localization is controlled and modified through ... We have theoretically investigated two-dimensional atom localization using the absorption spectra of birefringence beams of light in a single wavelength domain.The atom localization is controlled and modified through tunneling effect in a conductive chiral atomic medium with absorption spectra of birefringent beams.The significant localization peaks are investigated in the left and right circularly polarized beam.Single and double localized peaks are observed in different quadrants with minimum uncertainty and significant probability.The localized probability is modified by controlling birefringence and tunneling conditions.These results may be useful for the capability of optical microscopy and atom imaging. 展开更多
关键词 2D atom localization birefringence beam absorption chiral atomic medium
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High-dimensional atomic microscopy in surface plasmon polaritons
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作者 Akhtar Munir Abdul Wahab Munsif Jan 《Chinese Physics B》 SCIE EI CAS CSCD 2020年第12期251-257,共7页
We develop a new scheme of two-dimensional(2D)and three-dimensional(3D)atom localization via absorption and gain spectra of surface plasmon polaritons(SPPs)in a closed loop four-level atomic system.For the atom–field... We develop a new scheme of two-dimensional(2D)and three-dimensional(3D)atom localization via absorption and gain spectra of surface plasmon polaritons(SPPs)in a closed loop four-level atomic system.For the atom–field interaction,we construct a spatially dependent field by superimposing two(three)standing-wave fields(SWFs)in 2D(3D)atom localization,respectively.We achieve high-precision and high spatial resolution of an atom localization by appropriately adjusting the system parameters such as probe field detuning and phase shifts of the SWFs.The absorption and gain spectra are used to attain information about the position of an atom in SPPs.Our proposed scheme opens up a fascinating way to improve the atom localization that supplies some practical applications in a high-dimensional SPPs. 展开更多
关键词 atom localization absorption and gain spectra four-level atomic system
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Three-Level Λ-Type Atomic System Localized by the Parameters of the Two Orthogonal Standing-Wave Fields
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作者 Shuncai Zhao Qixuan Wu 《Journal of Applied Mathematics and Physics》 2016年第8期1546-1553,共8页
Localization of the three-level Λ-type atomic system interacting with two orthogonal standing-wave fields is proposed. Two equal and tunable peaks in the 2D plane are obtained by the detunings corresponding to the tw... Localization of the three-level Λ-type atomic system interacting with two orthogonal standing-wave fields is proposed. Two equal and tunable peaks in the 2D plane are obtained by the detunings corresponding to the two orthogonal standing-wave fields when the decreasing intensities of spontaneously generated coherence (SGC) arise in the three-level Λ-type atomic system, while one circular ring with shrinking radii in the 2D plane is obtained by the adjusted phases and wave vectors of the standing-wave fields when the increasing intensities of SGC occur in the three-level Λ-type atomic system. 2D atom localization with the single ring with shrinking radii realized by the multiple parametric manipulations demonstrated the flexibility for our scheme. 展开更多
关键词 Three-Level Λ-Type atomic System atom localization Spontaneously Generated Coherence (SGC)
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Spatial-dependent probe transmission based high-precision two-dimensional atomic localization
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作者 Muhammad Idrees Humaira Kalsoom +2 位作者 Bakth Amin Bacha Arif Ullah Li-Gang Wang 《Communications in Theoretical Physics》 SCIE CAS CSCD 2021年第4期69-74,共6页
Herein,we propose a scheme for the realization of two-dimensional atomic localization in aλ-type three-level atomic medium such that the atom interacts with the two orthogonal standing-wave fields and a probe field.B... Herein,we propose a scheme for the realization of two-dimensional atomic localization in aλ-type three-level atomic medium such that the atom interacts with the two orthogonal standing-wave fields and a probe field.Because of the spatially dependent atom-field interaction,the information about the position of the atom can be obtained by monitoring the probe transmission spectra of the weak probe field for the first time.A single and double sharp localized peaks are observed in the one-wavelength domain.We have theoretically archived high-resolution and high-precision atomic localization within a region smaller thanλ/25×λ/25.The results may have potential applications in the field of nano-lithography and advance laser cooling technology. 展开更多
关键词 2D atomic localization probe transmission spectra standing-wave fields three-level atomic medium
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Study of structural and magnetic properties of Fe(80)P-9B(11) amorphous alloy by ab initio molecular dynamic simulation
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作者 朱力 王寅岗 +1 位作者 曹成成 孟洋 《Chinese Physics B》 SCIE EI CAS CSCD 2017年第6期315-318,共4页
The structural and magnetic properties of Fe80P9B11 amorphous alloy are investigated through ab initio molecular dynamic simulation. The structure evolution of Fe(80)P9B(11) amorphous alloy can be described in the... The structural and magnetic properties of Fe80P9B11 amorphous alloy are investigated through ab initio molecular dynamic simulation. The structure evolution of Fe(80)P9B(11) amorphous alloy can be described in the framework of topological fluctuation theory, and the fluctuation of atomic hydrostatic stress gradually decreases upon cooling. The left sub peak of the second peak of Fe–B partial pair distribution functions(PDFs) becomes pronounced below the glass transition temperature, which may be the major reason why B promotes the glass formation ability significantly. The magnetization mainly originates from Fe 3d states, while small contribution results from metalloid elements P and B. This work may be helpful for developing Fe-based metallic glasses with both high saturation flux density and glass formation ability. 展开更多
关键词 amorphous alloy ab initio molecular dynamic simulation local atomic structure magnetic properties
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Ab initio Molecular Dynamics Study of Local Atomic Structure Evolution of U–Zr Alloy Melts upon Solidification
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作者 Mingfeng Liu Jiantao Wang +4 位作者 Yongpeng Shi Heyu Zhu Yan Sun Peitao Liu Xing-Qiu Chen 《Acta Metallurgica Sinica(English Letters)》 SCIE EI CAS CSCD 2023年第9期1549-1558,共10页
We study the local atomic structure evolution of UZr and UZr_(2) alloy melts upon solidification through ab initio molecular dynamics simulations.This is achieved by analyzing in detail the temperature dependence of s... We study the local atomic structure evolution of UZr and UZr_(2) alloy melts upon solidification through ab initio molecular dynamics simulations.This is achieved by analyzing in detail the temperature dependence of structure factors,pair correlation functions,the bond angle distributions,Honeycutt-Anderson index and Voronoi tessellation analysis as well as local bond orientation order parameters.We observe that as the temperature decreases the pair correlation functions and structure factors become more structured with clear distinctions at the liquid–solid phase transition temperature.The Honeycutt-Anderson indices and Voronoi tessellation analysis indicate that the liquid phase is predominantly comprised of the icosahedra-like local structures,whose fraction increases with decreasing temperature up to the transition temperature and then abruptly drops at the transition temperature,whereas the bcc-like local atomic structures dominate during the solidification process.Furthermore,the bond orientation order analyses with\({\overline{w}}_{6}\)–\({\overline{q}}_{6}\)correlation map and bond angle distribution imply that the local structures mainly consist of the bcc-type during the solidification below the transition temperature.All the analyses are consistent with each other,showing a first-order liquid to solid phase transition for both UZr and UZr_(2) solid solutions,which only differ in different predicted transition temperatures.This work provides a comprehensive insight into the detailed local structure evolution during the solidification of the U–Zr alloy melts at the atomic level.Similar strategies used here can be extended to studying the liquid–solid phase transition in other alloy systems. 展开更多
关键词 Local atomic structure Molecular dynamics SOLIDIFICATION U-Zr alloy melts
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Novel Soft Magnetic Co-Based Ternary Co-Er-B Bulk Metallic Glasses
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作者 Jie Lu Yanhui Li +7 位作者 Shuang Ma Wanping Li Feng Bao Zhengwang Zhu Qiaoshi Zeng Haifeng Zhang Man Yao Wei Zhang 《Acta Metallurgica Sinica(English Letters)》 SCIE EI CAS CSCD 2024年第9期1633-1642,共10页
In this work,a series of Co-based ternary Co-Er-B bulk metallic glasses(BMGs)with excellent soft magnetic properties and high strength were developed,and the local atomic structure of a typical Co_(71.5)Er_(3.5)B_(25)... In this work,a series of Co-based ternary Co-Er-B bulk metallic glasses(BMGs)with excellent soft magnetic properties and high strength were developed,and the local atomic structure of a typical Co_(71.5)Er_(3.5)B_(25) metallic glass was studied through in situ high-energy synchrotron X-ray diffraction and ab initio molecular dynamics simulations.The results reveal that the BMG samples can be obtained in a composition region of Co_(68.5-71.5)Er_(3.5-4)B_(25-27.5) by a conventional copper-mold casting method.The Co-Er-B metallic glasses possess stronger atomic bond strengths and denser local atomic packing structure composed of a higher fraction of icosahedral-like clusters but fewer deformed body-centered cubic and crystal-like polyhedrons,and they exhibit slower atomic diffusion behaviors during solidification,as compared to Co-Y-B counterparts.The enhancement in structural stability and the retardation of atomic-ordered diffusion lead to the better glass-forming ability of the Co-Er-B alloys.The smaller magnetic anisotropy energy in the Co-Er-B metallic glasses results in a lower coercivity of less than 1.3 A/m.The Co-Er-B BMGs exhibit high-yield strength of 3560-3969 MPa along with distinct plasticity of around 0.50%. 展开更多
关键词 Co-based bulk metallic glass Glass-forming ability Soft magnetic property Ab initio molecular dynamics simulation Local atomic structure
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Superposition of Stationary Wave Fields Via Atom Microscopy
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作者 Hizbullah Anwar Ali khan +2 位作者 Naveed Khan Iftikhar Ahmad Bakht Amin Bacha 《Communications in Theoretical Physics》 SCIE CAS CSCD 2015年第3期340-346,共7页
We investigate one-dimensional position microscopy of a three-level atom moving through a stationary wave region under the condition of electromagnetically induced transparency.The precise position information of an a... We investigate one-dimensional position microscopy of a three-level atom moving through a stationary wave region under the condition of electromagnetically induced transparency.The precise position information of an atom is observed on the resonance absorption and dispersion distribution spectrum of a weak probe field.Single and multiple localization peaks are observed in specific directions of the corresponding wave numbers and phase of the standing wave fields.The strength of space-independent Rabi frequency reduces the position uncertainty in the localized peaks without disturbing the probability of the atom.In a hot atomic medium the localized probability of an atom is reduced which depends upon the temperature of that medium.Our results provide useful applications in the development of laser cooling,atom nanolithography and Bose-Einstein condensation. 展开更多
关键词 1D atom localization superposition of standing waves fields
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Manipulating metal-oxygen local atomic structures in singlejunctional p-Si/WO_(3) photocathodes for efficient solar hydrogen generation 被引量:1
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作者 Wu Zhou Chung-Li Dong +4 位作者 Yiqing Wang Yu-Cheng Huang Lingyun He Han-Wei Chang Shaohua Shen 《Nano Research》 SCIE EI CSCD 2021年第7期2285-2293,共9页
Self-passivation in aqueous solution and sluggish surface reaction kinetics significantly limit the photoelectrochemical(PEC)performances of silicon-based photoelectrodes.Herein,a WO_(3) thin layer is deposited on the... Self-passivation in aqueous solution and sluggish surface reaction kinetics significantly limit the photoelectrochemical(PEC)performances of silicon-based photoelectrodes.Herein,a WO_(3) thin layer is deposited on the p-Si substrate by pulsed laser deposition(PLD),acting as a photocathode for PEC hydrogen generation.Compared to bare p-Si,the single-junctional p-Si/WO_(3) photoelectrodes exhibit excellent and stable PEC performances with significantly increased cathodic photocurrent density and exceptional anodic shift in onset potential for water reduction.It is revealed that the WO_(3) layer could reduce the charge transfer resistance across the electrode/electrolyte interface by eliminating the effect of Fermi level pinning on the surface of p-Si.More importantly,by varying the oxygen pressures during PLD,the collaborative modulation of W–O bond covalency and WO6 octahedral structure symmetry contributes to the promoted charge carrier transport and separation.Meanwhile,a large band bending at the p-Si/WO_(3) junction,induced by the optimized O vacancy contents in WO_(3),could provide a photovoltage as high as~500 mV to efficiently drive charge transfer to overcome the water reduction overpotential.Synergistically,by manipulating W–O local atomic structures in the deposited WO_(3) layer,a great improvement in PEC performance could be achieved over the singlejunctional p-Si/WO_(3) photocathodes for solar hydrogen generation. 展开更多
关键词 silicon local atomic structure water splitting PHOTOCATHODES hydrogen generation
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Rational design of Fe-N-C electrocatalysts for oxygen reduction reaction:From nanoparticles to single atoms 被引量:1
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作者 Mengru Sun Changli Chen +5 位作者 Menghao Wu Danni Zhou Zhiyi Sun Jianling Fan Wenxing Chen Yujing Li 《Nano Research》 SCIE EI CSCD 2022年第3期1753-1778,共26页
As an alternative energy,hydrogen can be converted into electrical energy via direct electrochemical conversion in fuel cells.One important drawback of full cells is the sluggish oxygen reduction reaction(ORR)promoted... As an alternative energy,hydrogen can be converted into electrical energy via direct electrochemical conversion in fuel cells.One important drawback of full cells is the sluggish oxygen reduction reaction(ORR)promoted by the high-loading of platinum-group-metal(PGM)electrocatalysts.Fe-N-C family has been received extensive attention because of its low cost,long service life and high oxygen reduction reaction activity in recent years.In order to further enhance the ORR activity,the synthesis method,morphology regulation and catalytic mechanism of the active sites in Fe-N-C catalysts are investigated.This paper reviews the research progress of Fe-N-C from nanoparticles to single atoms.The structure-activity relationship and catalytic mechanism of the catalyst are studied and discussed,which provide a guidance for rational design of the catalyst,so as to promote the more reasonable design of Fe-N-C materials. 展开更多
关键词 nanoparticle catalyst controlled structure regulation single atomic catalyst local atomic regulation synergistic effect
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Structural Origins for Enhanced Thermal Stability and Glass‑Forming Ability of Co–B Metallic Glasses with Y and Nb Addition
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作者 Shuang Ma Junyu Zhang +4 位作者 Xudong Wang Rie Y.Umetsu Li Jiang Wei Zhang Man Yao 《Acta Metallurgica Sinica(English Letters)》 SCIE EI CAS CSCD 2023年第6期962-972,共11页
The effects of Y and Nb addition on thermal stability,glass-forming ability(GFA),and magnetic softness of Co75B25 metallic glass(MG)were comprehensively investigated.The experimental results indicated that the thermal... The effects of Y and Nb addition on thermal stability,glass-forming ability(GFA),and magnetic softness of Co75B25 metallic glass(MG)were comprehensively investigated.The experimental results indicated that the thermal stability,GFA,and magnetic softness of the studied MGs increase in the order Co_(75)B_(25)<Co_(73)Nb_(2)B_(25)<Co_(71.5)Y_(3.5)B_(25)<Co_(69.5)Y_(3.5)Nb_(2)B_(25).The structural origins of the improved properties were revealed by ab initio molecular dynamics(AIMD)simulations and density functional theory(DFT)calculations.Results showed that the B-centered prism units are the primary structure-forming units of the four MGs,connect through vertex-,edge-,and face-shared(VS,ES,and FS)atoms,and Co-centered units tend to connect with Co/B-centered units via the intercross-shared(IS)atoms.The addition of Y and Nb not only plays the role of connecting atoms but also enhances both bond strengths and the fractions of icosahedral-like units in increasing order Co_(75)B_(25)<Co_(73)Nb_(2)B_(25)<Co_(71.5)Y_(3.5)B_(25)<Co_(69.5)Y_(3.5)Nb_(2)B_(25),which is conducive to the enhancement of the structural stability,atomic packing density,and viscosity,thereby improving thermal stability and GFA.In addition,the improvement of structural stability and homogeneity leads to enhanced magnetic softness. 展开更多
关键词 Co-based metallic glasses Thermal stability Glass-forming ability Soft magnetic property Ab initio molecular dynamics simulations Local atomic structure
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A first-principle study of the structural and electronic properties of amorphous Cu-Zr alloys 被引量:3
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作者 TIAN Hua LIAO YunLong +4 位作者 ZHANG Chong ZHAO JiJun WEN Bin WANG Qing DONG Chuang 《Science China(Physics,Mechanics & Astronomy)》 SCIE EI CAS 2011年第2期249-255,共7页
The atomic and electronic structures of amorphous CuxZr100-x(x=36,46,50,56,64) alloys were simulated using first-principle calculations within a 400-atom supercell.The pair correlation function,coordination numbers,lo... The atomic and electronic structures of amorphous CuxZr100-x(x=36,46,50,56,64) alloys were simulated using first-principle calculations within a 400-atom supercell.The pair correlation function,coordination numbers,local cluster structures and electronic density of states were analyzed.Reasonable agreements between the theory and the experiments were obtained.The amorphous alloys exhibit different local cluster structures and can all be explained with cluster formulas [cluster](glue)1,3,where the clusters are derived from known Cu-Zr compounds.There is always a pseudogap in the density of state at the Fermi level. 展开更多
关键词 bulk metallic glass local atomic structure electronic structure
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Boundedness of Calderon-Zygmund operators with finite non-doubling measures 被引量:1
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作者 Dachun YANG Dongyong YANG 《Frontiers of Mathematics in China》 SCIE CSCD 2013年第4期961-971,共11页
Let μ be a nonnegative Radon measure on Rd which satisfies the polynomial growth condition that there exist positive constants Co and n ∈ (0,d) such that, for all x ∈ Rd and r 〉 0, μ(B(x, r))≤ Corn, where ... Let μ be a nonnegative Radon measure on Rd which satisfies the polynomial growth condition that there exist positive constants Co and n ∈ (0,d) such that, for all x ∈ Rd and r 〉 0, μ(B(x, r))≤ Corn, where B(x, r) denotes the open ball centered at x and having radius r. In this paper, we show that, if μ(Rd) 〈∞, then the boundedness of a Calderdn-Zygmund operator T on L2(μ) is equivalent to that of T from the localized atomic Hardy space h1(μ) to L1,∞(μ) or from h1(μ) to L1(μ). 展开更多
关键词 Calderon-Zygmund operator localized atomic Hardy space non- doubling measure
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