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Explicit expressions and recurrence formulas of radial average value for N-dimensional hydrogen atom
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作者 CHEN Chang-yuan, SUN Dong-sheng, LIU You-we, LIU Cheng-lin(Department of Physics, Yancheng Teachers College, Yancheng 224002, China) 《原子与分子物理学报》 CAS CSCD 北大核心 2002年第2期201-204,共4页
In this paper, two recurrence formulas for radial average values of N-dimensional hydrogen atom are derived. Explicit expressions for <n rJ N-2 |r s|n rJ N-2 > are given for 3≥s≥-6. These results can be applie... In this paper, two recurrence formulas for radial average values of N-dimensional hydrogen atom are derived. Explicit expressions for <n rJ N-2 |r s|n rJ N-2 > are given for 3≥s≥-6. These results can be applied to discuss average value of centrifugal potential energy and other physical quantities. The relevant results of the usual hydrogen atom are contained in more general conclusion of this paper as special cases. 展开更多
关键词 量子力学 循环准则 氢原子 电离
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General calculation formulas and recurrence relations of radial matrix elements for relativistic n-dimensional hydrogen atom of spin S=0 被引量:1
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作者 CHENChang-yuan LUFa-lin SUNDong-sheng 《原子与分子物理学报》 CAS CSCD 北大核心 2004年第3期432-440,共9页
In this paper, the general calculation formulas of radial matrix elements for relativistic n-dimensional hydrogen atom of spin S=0 are obtained, and the recurrence relation of different power order radial matrix eleme... In this paper, the general calculation formulas of radial matrix elements for relativistic n-dimensional hydrogen atom of spin S=0 are obtained, and the recurrence relation of different power order radial matrix elements are also derived. 展开更多
关键词 n-dimensional hydrogen atom-type potential Klein-Cordon equation Radial matrix dements GENERAL calculation FORMULAS RECURRENCE relations
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Achieving Negatively Charged Pt Single Atoms on Amorphous Ni(OH)_(2)Nanosheets with Promoted Hydrogen Absorption in Hydrogen Evolution
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作者 Yue Liu Gui Liu +6 位作者 Xiangyu Chen Chuang Xue Mingke Sun Yifei Liu Jianxin Kang Xiujuan Sun Lin Guo 《Nano-Micro Letters》 SCIE EI CAS CSCD 2024年第10期213-224,共12页
Single-atom(SA)catalysts with nearly 100%atom utilization have been widely employed in electrolysis for decades,due to the outperforming catalytic activity and selectivity.However,most of the reported SA catalysts are... Single-atom(SA)catalysts with nearly 100%atom utilization have been widely employed in electrolysis for decades,due to the outperforming catalytic activity and selectivity.However,most of the reported SA catalysts are fixed through the strong bonding between the dispersed single metallic atoms with nonmetallic atoms of the substrates,which greatly limits the controllable regulation of electrocatalytic activity of SA catalysts.In this work,Pt-Ni bonded Pt SA catalyst with adjustable electronic states was successfully constructed through a controllable electrochemical reduction on the coordination unsaturated amorphous Ni(OH)_(2)nanosheet arrays.Based on the X-ray absorption fine structure analysis and first-principles calculations,Pt SA was bonded with Ni sites of amorphous Ni(OH)_(2),rather than conventional O sites,resulting in negatively charged Pt^(δ-).In situ Raman spectroscopy revealed that the changed configuration and electronic states greatly enhanced absorbability for activated hydrogen atoms,which were the essential intermediate for alkaline hydrogen evolution reaction.The hydrogen spillover process was revealed from amorphous Ni(OH)_(2)that effectively cleave the H-O-H bond of H_(2)O and produce H atom to the Pt SA sites,leading to a low overpotential of 48 mV in alkaline electrolyte at-1000 mA cm^(-2)mg^(-1)_(Pt),evidently better than commercial Pt/C catalysts.This work provided new strategy for the control-lable modulation of the local structure of SA catalysts and the systematic regulation of the electronic states. 展开更多
关键词 hydrogen evolution reaction AMORPHOUS Pt single atoms hydrogen spillover
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Lattice strain induced by trace Pt single atoms in nickel for accelerating industrial hydrogen evolution
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作者 Rui Yao Yun Wu +4 位作者 Kaiyang Zhang Shuhui Fan Qiang Zhao Jinping Li Guang Liu 《Journal of Energy Chemistry》 SCIE EI CAS CSCD 2024年第11期503-511,共9页
Strategically designing the electrocatalytic system and cleverly inducing strain is an effective approach to balance the cost and activity of Pt-based electrocatalysts for industrial-scale hydrogen production.Herein,w... Strategically designing the electrocatalytic system and cleverly inducing strain is an effective approach to balance the cost and activity of Pt-based electrocatalysts for industrial-scale hydrogen production.Herein,we present a unipolar pulsed electrodeposition(UPED) strategy to induce strain in the Ni lattice by introducing trace amounts of Pt single atoms(SAs)(0.22 wt%).The overpotential decreased by 183 mV at 10 mA cm^(-2) in 1.0 M KOH after introducing trace amounts of Pt_(SAs).The industrial electrolyzer,assembled with Pt_(SAs)Ni cathode and a commercial NiFeO_(x) anode,requires a cell voltage of 1.90 V to attain 1 A cm^(-2) of current density and remains stable for 280 h,demonstrating significant potential for practical applications.Spherical aberration corrected scanning transmission electron microscopy(AC-STEM),X-ray absorption(XAS),and geometric phase analysis(GPA) indicate that the introduction of trace amounts of Pt SAs induces tensile strain in the Ni lattice,thereby altering the local electronic structure and coordination environment around cubic Ni for enhancing the water decomposition kinetics and fundamentally changing the reaction pathway.The doping-strain strategy showcases conformational relationships that could offer new ideas to construct efficient hydrogen evolution reaction(HER) electrocatalysts for industrial hydrogen production in the future. 展开更多
关键词 Unipolar pulsed electrodeposition Pt single atoms Ni lattice hydrogen evolution reaction H intermediates
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Preparation of palladium-based catalyst by plasma-assisted atomic layer deposition and its applications in CO_(2) hydrogenation reduction
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作者 唐守贤 田地 +4 位作者 李筝 王正铎 刘博文 程久珊 刘忠伟 《Plasma Science and Technology》 SCIE EI CAS CSCD 2024年第6期31-39,共9页
Supported Pd catalyst is an important noble metal material in recent years due to its high catalytic performance in CO_(2)hydrogenation.A fluidized-bed plasma assisted atomic layer deposition(FP-ALD) process is report... Supported Pd catalyst is an important noble metal material in recent years due to its high catalytic performance in CO_(2)hydrogenation.A fluidized-bed plasma assisted atomic layer deposition(FP-ALD) process is reported to fabricate Pd nanoparticle catalyst over γ-Al_(2)O_(3)or Fe_(2)O_(3)/γ-Al_(2)O_(3)support,using palladium hexafluoroacetylacetonate as the Pd precursor and H_(2)plasma as counter-reactant.Scanning transmission electron microscopy exhibits that highdensity Pd nanoparticles are uniformly dispersed over Fe_(2)O_(3)/γ-Al_(2)O_(3)support with an average diameter of 4.4 nm.The deposited Pd-Fe_(2)O_(3)/γ-Al_(2)O_(3)shows excellent catalytic performance for CO_(2)hydrogenation in a dielectric barrier discharge reactor.Under a typical condition of H_(2)to CO_(2)ratio of 4 in the feed gas,the discharge power of 19.6 W,and gas hourly space velocity of10000 h^(-1),the conversion of CO_(2)is as high as 16.3% with CH_(3)OH and CH4selectivities of 26.5%and 3.9%,respectively. 展开更多
关键词 atomic layer deposition CO_(2)hydrogenation palladium based catalyst
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Pt-Co single atom alloy catalysts: Accelerated water dissociation and hydrogen evolution by strain regulation 被引量:7
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作者 Rendian Wan Mi Luo +3 位作者 Jingbo Wen Shilong Liu Xiongwu Kang Yong Tian 《Journal of Energy Chemistry》 SCIE EI CAS CSCD 2022年第6期44-53,I0002,共11页
The alkaline hydrogen evolution reaction(HER) on Pt-based catalysts is largely limited by the slow water dissociation kinetics. Pt-based single atom alloy catalysts(SAAC) with water dissociation sites have been demons... The alkaline hydrogen evolution reaction(HER) on Pt-based catalysts is largely limited by the slow water dissociation kinetics. Pt-based single atom alloy catalysts(SAAC) with water dissociation sites have been demonstrated as excellent alkaline HER catalysts. However, the regulation of their activity and stability at the atomic scale is still a great challenge. Herein, the kinetic and stability issues are successfully resolved via engineering the electronic structure of Pt-Co SAAC by Au-induced tensile strain. The atomic dispersion of Co into the Pt shell was confirmed by extended X-ray absorption fine structure and the electronic structure and catalytic HER performance was modulated by the tensile strain induced by the Pt shell thickness. An inverse volcano-type relation between HER activity and surface strain was found.Density functional theory(DFT) calculations reveal that the Au-induced tensile strain on Pt-Co shell can not only boost the adsorption and dissociation kinetics of water at Co site by upshifting the dband and promoting the electron transfer, but also downshift the d-band center of Pt in Pt-Co shell, leading to optimized H* adsorption/desorption. The champion catalyst provides an overpotential of only 14 m V at the current density of 10 mA cm^(-2). This work not only provides an effective strategy for the construction of single-atom alloy electrocatalysts for high performance toward alkaline HER but also sheds light on the understanding of the reaction mechanism at the atomic level. 展开更多
关键词 hydrogen evolution reaction Single atom alloy STRAIN DFT calculation d-band
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Single-atom Pt promoted Mo_(2)C for electrochemical hydrogen evolution reaction 被引量:3
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作者 Shanshan Niu Ji Yang +5 位作者 Haifeng Qi Yang Su Zhiyu Wang Jieshan Qiu Aiqin Wang Tao Zhang 《Journal of Energy Chemistry》 SCIE EI CAS CSCD 2021年第6期371-377,I0009,共8页
Hydrogen generation from electrochemical water splitting powered by renewable energy is important to the sustainable society,but the prohibitive cost of current Pt electrocatalyst has impeded the large-scale productio... Hydrogen generation from electrochemical water splitting powered by renewable energy is important to the sustainable society,but the prohibitive cost of current Pt electrocatalyst has impeded the large-scale production of hydrogen by water electrolysis.In this contribution,a new low-Pt electrocatalyst for hydrogen evolution reaction(HER) has been fabricated by a facile one-pot synthesis approach,in which Pt^(2+)cations and phosphomolybdic acid confined in the metal-organic frameworks(MOFs) were submitted to pyrolysis to yield Pt single atoms dispersed into Mo_(2)C nanocrystals in 3 D porous carbon matrix.The as-synthesized Pt_(1)-Mo_(2)C-C catalyst with Pt content of only 0.7 wt% exhibited remarkably enhanced activity for HER in 1 M KOH,with overpotential at 10 mA/cm^(2) lowered from 211 mV to 155 mV and 7-fold higher mass activity(7.14 A/mgpt) than the benchmark 20 wt% Pt/C.The promoted activity can be attributed to the electronic interaction between Pt single atoms and Mo2C surface,which not only improved water activation but also strengthened hydrogen adsorption,as indicated by FTIR and microcalorimetric characterizations. 展开更多
关键词 Metal carbide Pt single atom MOF hydrogen evolution reaction
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Ultrafine VN nanodots induced generation of abundant cobalt single-atom active sites on nitrogen-doped carbon nanotube for efficient hydrogen evolution 被引量:3
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作者 Yan Cheng Juhui Gong +7 位作者 Bo Cao Xuan Xu Peng Jing Shien-Ping Feng Rui Cheng Baocang Liu Rui Gao Jun Zhang 《Journal of Energy Chemistry》 SCIE EI CAS CSCD 2022年第5期646-657,共12页
Development of highly active and stable non-noble electrocatalysts with well-defined nanostructures is crucial for efficient hydrogen evolution reaction(HER). Herein, a novel three-dimensional(3D) selfsupported electr... Development of highly active and stable non-noble electrocatalysts with well-defined nanostructures is crucial for efficient hydrogen evolution reaction(HER). Herein, a novel three-dimensional(3D) selfsupported electrode consists of vanadium nitride(VN) nanodots and Co nanoparticles co-embedded and highly active single Co atoms anchored in N-doped carbon nanotubes supported on carbon cloth(VN-Co@CoSAs-NCNTs/CC) is fabricated via a one-step in situ nanoconfined pyrolysis strategy, which shows remarkable enhanced HER electrocatalytic activity in acidic medium. During pyrolysis, the formed VN nanodots induce the generation of atomic Co Nxsites in NCNTs, contributing to superior electrocatalytic activity. Experimental and density functional theory(DFT) calculation results reveal that the electrode has multiple accessible active sites, fast reaction kinetics, low charge/mass transfer resistances,high conductivity, as well as downshifted d-band center with a thermodynamically favorable hydrogen adsorption free energy(△G_(H·)), all of which greatly boost the HER performance. As a result, the VNCo@CoSAs-NCNTs/CC electrode displays superb catalytic performance toward HER with a low overpotential of 29 mV at 10 mA cm^(-2) in acidic medium, which could maintain for at least 60 h of stable performance. This work opens a facile avenue to explore low-cost, high performance, but inexpensive metals/nitrogen-doped carbon composite electrocatalysts for HER. 展开更多
关键词 Single cobalt atoms Nitrogen-doped carbon nanotubes Vanadium nitride nanodots Cobalt nanoparticles hydrogen evolution reaction
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D-band frontier: A new hydrogen evolution reaction activity descriptor of Pt single-atom catalysts 被引量:2
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作者 Guangming Zhan Yancai Yao +3 位作者 Fengjiao Quan Huayu Gu Xiao Liu Lizhi Zhang 《Journal of Energy Chemistry》 SCIE EI CAS CSCD 2022年第9期203-209,I0007,共8页
Hydrogen evolution reaction(HER) is crucial for achieving sustainable development and carbon neutrality, and thus demands efficient catalysts, which necessitates fundamental theory to relieve trial-and-error experimen... Hydrogen evolution reaction(HER) is crucial for achieving sustainable development and carbon neutrality, and thus demands efficient catalysts, which necessitates fundamental theory to relieve trial-and-error experiment. To fast screen HER candidates, most studies focus on d-band center(ε)associated with the Gibbs energy of H* adsorption(ΔG). Unfortunately, εrule is not applicable to Pt single atoms on transition metal disulfides(Pt_(1)/TMDs) because of the additional contributions from p states of S atom. Here, we propose a new HER descriptor — d-band frontier(d) by defining the weight of d-band in the energy range of [-1.0 eV, 1.0 eV] of Pt single atoms. This dis exactly correlated with the ΔGof Pt_(1)/TMDs, and thus perfectly describes the structure–activity relationship, as validated by systematical experimental evidences. Moreover, this ddescriptor can be extended to Pt single atoms anchored on other supports(e.g., CN, C, MoO, and CoO), indicating its promising generality. 展开更多
关键词 hydrogen evolution reaction Single atoms Transition metal disulfides DESCRIPTOR
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Single-Atom Catalysts for Electrochemical Hydrogen Evolution Reaction: Recent Advances and Future Perspectives 被引量:15
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作者 Zonghua Pu Ibrahim Saana Amiinu +8 位作者 Ruilin Cheng Pengyan Wang Chengtian Zhang Shichun Mu Weiyue Zhao Fengmei Su Gaixia Zhang Shijun Liao Shuhui Sun 《Nano-Micro Letters》 SCIE EI CAS CSCD 2020年第2期73-101,共29页
Hydrogen,a renewable and outstanding energy carrier with zero carbon dioxide emission,is regarded as the best alternative to fossil fuels.The most preferred route to large-scale production of hydrogen is by water elec... Hydrogen,a renewable and outstanding energy carrier with zero carbon dioxide emission,is regarded as the best alternative to fossil fuels.The most preferred route to large-scale production of hydrogen is by water electrolysis from the intermittent sources(e.g.,wind,solar,hydro,and tidal energy).However,the efficiency of water electrolysis is very much dependent on the activity of electrocatalysts.Thus,designing high-effective,stable,and cheap materials for hydrogen evolution reaction(HER)could have a substantial impact on renewable energy technologies.Recently,single-atom catalysts(SACs)have emerged as a new frontier in catalysis science,because SACs have maximum atom-utilization efficiency and excellent catalytic reaction activity.Various synthesis methods and analytical techniques have been adopted to prepare and characterize these SACs.In this review,we discuss recent progress on SACs synthesis,characterization methods,and their catalytic applications.Particularly,we highlight their unique electrochemical characteristics toward HER.Finally,the current key challenges in SACs for HER are pointed out and some potential directions are proposed as well. 展开更多
关键词 Single-atom catalysts NANOMATERIALS ELECTROCATALYST hydrogen evolution reaction Electrochemical energy conversion
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High-temperature treatment to engineer the single-atom Pt coordination environment towards highly efficient hydrogen evolution 被引量:1
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作者 Shanyong Chen Changchang Lv +8 位作者 Ling Liu Muhong Li Jian Liu Jinyang Ma Panpan Hao Xuan Wang Weiping Ding Mingjiang Xie Xuefeng Guo 《Journal of Energy Chemistry》 SCIE EI CAS CSCD 2021年第8期212-219,I0005,共9页
Development of high-performance and cost-effective catalysts for electrocatalytic hydrogen evolution reaction(HER)play crucial role in the growing hydrogen economy.Recently,the atomically dispersed metal catalysts hav... Development of high-performance and cost-effective catalysts for electrocatalytic hydrogen evolution reaction(HER)play crucial role in the growing hydrogen economy.Recently,the atomically dispersed metal catalysts have attracted increasing attention due to their ultimate atom utilization and great potential for highly cost-effective and high-efficiency HER electrocatalyst.Herein,we propose a hightemperature treatment strategy to furtherly improve the HER performance of atomically dispersed Ptbased catalyst.Interestingly,after appropriate high-temperature treatment on the atomically dispersed Pt0.8@CN,the Pt species on the designed N-doped porous carbon substrate with rich defect sites can be re-dispersed to single atom state with new coordination environment.The obtained Pt0.8@CN-1000 shows superior HER performance with overpotential of 13 m V at 10 m A cm^(-2)and mass activity of 11,284 m A/mgPtat-0.1 V,much higher than that of the pristine Pt0.8@CN and commercial Pt/C catalyst.The experimental and theoretical investigations indicate that the high-temperature treatment induces the restructuring of coordination environment and then the optimized Pt electronic state leads to the enhanced HER performances.This work affords new strategy and insights to develop the atomically dispersed high-efficiency catalysts. 展开更多
关键词 High-temperature treatment atomically dispersed metal catalyst Coordination environment hydrogen evolution reaction
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Resonances of a hydrogen atom in strong parallel electric and magnetic fields using B-spline basis sets
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作者 张月霞 孟慧艳 史庭云 《Chinese Physics B》 SCIE EI CAS CSCD 2008年第1期140-147,共8页
The B-spline basis set plus complex scaling method is applied to the numerical calculation of the exact resonance parameters Er and Г/2 of a hydrogen atom in parallel electric and magnetic fields. The method can calc... The B-spline basis set plus complex scaling method is applied to the numerical calculation of the exact resonance parameters Er and Г/2 of a hydrogen atom in parallel electric and magnetic fields. The method can calculate the ground and higher excited resonances accurately and efficiently. The resonance parameters with accuracies of 10^-9 - 10^-12 for hydrogen atom in parallel fields with different field strengths and symmetries are presented and compared with previous ones. Extension to the calculation of Rydberg atom in crossed electric and magnetic fields and of atomic double excited states in external electric fields is discussed. 展开更多
关键词 hydrogen atom B-SPLINE complex scaling method RESONANCE parallel electric and magnetic fields
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Interaction of intense laser pulses with hydrogen atomic clusters
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作者 杜洪川 王慧巧 +4 位作者 刘作业 孙少华 李露 马玲玲 胡碧涛 《Chinese Physics B》 SCIE EI CAS CSCD 2010年第3期367-373,共7页
The interaction between intense femtosecond laser pulses and hydrogen atomic clusters is studied by a simplified Coulomb explosion model. The dependences of average proton kinetic energy on cluster size, pulse duratio... The interaction between intense femtosecond laser pulses and hydrogen atomic clusters is studied by a simplified Coulomb explosion model. The dependences of average proton kinetic energy on cluster size, pulse duration, laser intensity and wavelength are studied respectively. The calculated results indicate that the irradiation of a femtosecond laser of longer wavelength on hydrogen atomic clusters may be a simple, economical way to produce highly kinetic hydrogen ions. The phenomenon suggests that the irradiation of femtosecond laser of longer wavelength on deuterium atomic clusters may be easier than that of shorter wavelength to drive nuclear fusion reactions. The product of the laser intensity and the squared laser wavelength needed to make proton energy saturated as a function of the squared cluster radius is also investigated. The proton energy distribution calculated is also shown and compared with the experimental data. Our results are in agreement with the experimental results fairly well. 展开更多
关键词 femtosecond laser pulse Coulomb explosion hydrogen atomic cluster
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Atomically dispersed Ni electrocatalyst for superior urea-assisted water splitting 被引量:1
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作者 Fang Luo Shuyuan Pan +3 位作者 Yuhua Xie Chen Li Yingjie Yu Zehui Yang 《Journal of Energy Chemistry》 SCIE EI CAS CSCD 2024年第3期1-6,I0002,共7页
Urea oxidation reaction(UOR) has been selected as substitution for oxygen evolution reaction ascribing to its low thermodynamic voltage as well as utilization of nickel as electrocatalyst.Herein,we report the formatio... Urea oxidation reaction(UOR) has been selected as substitution for oxygen evolution reaction ascribing to its low thermodynamic voltage as well as utilization of nickel as electrocatalyst.Herein,we report the formation of nickel single atoms(Ni-SAs) as exceptional bifunctional electrocatalyst toward UOR and hydrogen evolution reaction(HER) in urea-assisted water splitting.In UOR catalysis,Ni-SAs perform a superior catalytic performance than Ni-NP/NC and Pt/C ascribing to the formation of HOO-Ni-N_(4) structure evidenced by in-situ Raman spectroscopy,corresponding to a boosted mass activity by 175-fold at 1.4 V vs.RHE than Ni-NP/NC.Furthermore,Ni-SAs requires only 450 mV overpotential to obtain HER current density of 500 mA cm^(-2).136 mA cm^(-2) is achieved in urea-assisted water splitting at1.7 V for Ni-SAs,boosted by 5.7 times than Pt/C-IrO_(2) driven water splitting. 展开更多
关键词 Urea oxidation reaction hydrogen evolution reaction Nickel single atoms Water splitting
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MoC Supported Monoatomic Catalyst for Acetylene Hydrogenation Has Been Developed by Tianjin University
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《China Petroleum Processing & Petrochemical Technology》 SCIE CAS 2021年第3期68-68,共1页
The Tianjin University has developed a molybdenum carbide supported monoatomic catalyst for acetylene hydrogenation.Among these metal components,monoatomic nickel,monoatomic cobalt or monoatomic copper can form Ni-Mo,... The Tianjin University has developed a molybdenum carbide supported monoatomic catalyst for acetylene hydrogenation.Among these metal components,monoatomic nickel,monoatomic cobalt or monoatomic copper can form Ni-Mo,Ni-Co,and Ni-Cu bonds with molybdenum atoms in MoC,which can enhance the adsorption and activation of hydrogen molecules to improve the hydrogenation activity. 展开更多
关键词 hydrogenATION atomic MOLYBDENUM
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Magic Wavelengths for the 1S-2S and 1S-3S Transitions in Hydrogen Atoms
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作者 尹东 张永慧 +1 位作者 李承斌 张现周 《Chinese Physics Letters》 SCIE CAS CSCD 2016年第7期59-62,共4页
The dynamic dipole polarizabilities for 1S, 2S and 3S states of the hydrogen atom are calculated using the finite B-spline basis set method, and the magic wavelengths for 1S-2S and 1S-3S transitions are identified. In... The dynamic dipole polarizabilities for 1S, 2S and 3S states of the hydrogen atom are calculated using the finite B-spline basis set method, and the magic wavelengths for 1S-2S and 1S-3S transitions are identified. In comparison of the solutions from the Schr6dinger and Dirac equations, the relativistic corrections on the magic wavelengths are of the order of 10-2 nm. The laser intensities for a 300-Er-deep optical trap and the heating rates at 514 and 1371 nm are estimated. The reliable prediction of the magic wavelengths would be helpful for the experimental design on the optical trapping of the hydrogen atoms, and in turn, it would be helpful to improve the accuracy of the measurements of the hydrogen 1S-2S and 1S-3S transitions. 展开更多
关键词 of IS for Magic Wavelengths for the 1S-2S and 1S-3S Transitions in hydrogen atoms in
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Hydrogen Atom and Equivalent Form of the Lévy-Leblond Equation
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作者 Muhammad Adeel Ajaib 《Chinese Physics Letters》 SCIE CAS CSCD 2017年第5期5-8,共4页
We discuss the equivalent form of the Ldvy-Leblond equation such that the nilpotent matrices are two-dimensional. We show that this equation can be obtained in the non-relativistic limit of the (2+1)-dimensional Di... We discuss the equivalent form of the Ldvy-Leblond equation such that the nilpotent matrices are two-dimensional. We show that this equation can be obtained in the non-relativistic limit of the (2+1)-dimensional Dirac equation. Phrthermore, we analyze the case with four-dimensional matrices, propose a Hamiltonian for the equation in (3+1) dimensions, and solve it for a Coulomb potential The quantized energy levels for the hydrogen atom are obtained, and the result is consistent with the non-relativistic quantum mechanics. 展开更多
关键词 hydrogen atom and Equivalent Form of the L
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深化普通化学教学中对离子晶体的认识
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作者 聂晶晶 方文军 《大学化学》 2025年第1期362-368,共7页
晶体分类是普通化学课程的基本内容之一。本文展现了不同离子晶体中阴、阳离子间的相互作用包含了离子键、氢键或范德华力等类型,说明“离子晶体是阴、阳离子通过离子键结合而成”的表述并不合适。因此,在普通化学教学中,需要重新审视... 晶体分类是普通化学课程的基本内容之一。本文展现了不同离子晶体中阴、阳离子间的相互作用包含了离子键、氢键或范德华力等类型,说明“离子晶体是阴、阳离子通过离子键结合而成”的表述并不合适。因此,在普通化学教学中,需要重新审视离子晶体的定义和离子间相互作用类型对离子晶体的熔、沸点等性质的影响。 展开更多
关键词 原子间距 离子间相互作用 离子键 氢键 范德华力
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镁在Zr-Ti-Mg-Ni-Mn-V-Fe高熵合金中的原子占位及对储氢性能的影响
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作者 陈治中 尹福虎 +1 位作者 胡泊涛 斯庭智 《高等学校化学学报》 北大核心 2025年第3期144-151,共8页
通过Mg的添加,设计制备了3种A原子过计量的AB_(2)型Zr_(0.85)Ti_(0.15)Mg_(x)Ni_(1.20)Mn_(0.56)V_(0.12)Fe_(0.12)(x=0.20,0.25,0.30)高熵合金,探究了Mg添加量及其原子占位对储氢性能的影响.结果表明,所有合金均为C15 Laves单相结构,当... 通过Mg的添加,设计制备了3种A原子过计量的AB_(2)型Zr_(0.85)Ti_(0.15)Mg_(x)Ni_(1.20)Mn_(0.56)V_(0.12)Fe_(0.12)(x=0.20,0.25,0.30)高熵合金,探究了Mg添加量及其原子占位对储氢性能的影响.结果表明,所有合金均为C15 Laves单相结构,当x从0.20增至0.30时,合金的储氢量由0.35%(质量分数)显著提升至1.03%;合金具有优良的热力学性能,其中,Mg_(0.30)合金的放氢焓变(ΔH_(d))仅为28.93 kJ/mol;Mg_(0.30)合金的放电容量为167.0 mA·h/g,30次充放电循环后容量保持率为80.9%,展现了较好的电化学储氢性能.Rietveld全谱拟合结果揭示,Mg原子既占据Laves相A原子的8a位置,又占据B原子的16d位置;随着x的增加,8a位置的占位因子(g)保持恒定,而16d位置的g增加.这一结果不仅导致合金四面体间隙的增大,还促进了对氢强亲和力的四面体间隙的形成,从而显著提高了合金的储氢能力. 展开更多
关键词 高熵合金 LAVES相 原子占位 储氢性能 四面体间隙
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Platelet carbon nanofibers as support of Pt-CoO electrocatalyst for superior hydrogen evolution 被引量:3
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作者 Jie Gan Zikun Huang +5 位作者 Wei Luo Wenyao Chen Yueqiang Cao Gang Qian Xinggui Zhou Xuezhi Duan 《Journal of Energy Chemistry》 SCIE EI CAS CSCD 2021年第1期33-40,I0002,共9页
Exploration of cost-effective Pt/C catalysts has been a significant issue for electrochemical hydrogen evolution reaction(HER) toward sustainable energy conversion and storage.Herein,we report a fabrication strategy b... Exploration of cost-effective Pt/C catalysts has been a significant issue for electrochemical hydrogen evolution reaction(HER) toward sustainable energy conversion and storage.Herein,we report a fabrication strategy by employing platelet carbon nanofibers(p-CNF) as the support to immobilize Pt-CoO HER electrocatalyst using atomic layer deposition method.The edge-rich p-CNF support is found to act as the anchoring sites of Pt nanoparticles and favorably capture electrons from Pt to yield electron-deficient Pt surfaces for the boosted HER.Additionally,the sequential growth of CoO onto the Pt/p-CNF catalyst elaborately constructs the Pt-CoO interface and facilitates the electron transfer from Pt to CoO,which further enhances the HER activity.These advantages endow the fabricated Pt-CoO/p-CNF catalyst with the superior HER activity,e.g.,a very low overpotential of 26 mV at the current density of 10 mA·cm-2 and a mass activity of 4.42 A·mgPt-1at the overpotential of 30 mV,18.8 times higher than that of the commercial20 wt% Pt/C catalyst.The insights reported here could shed light on for the fabrication of cost-effective Pt-based composite HER catalysts. 展开更多
关键词 hydrogen evolution ELECTROCATALYSTS Platelet carbon nanofibers Pt-CoO catalyst atomic layer deposition
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