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Spectroscopy and molecule opacity investigation on excited states of SiS
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作者 李瑞 吕浩男 +3 位作者 桑纪群 刘晓华 梁桂颖 吴勇 《Chinese Physics B》 SCIE EI CAS CSCD 2024年第5期381-387,共7页
The SiS molecule,which plays a significant role in space,has attracted a great deal of attention for many years.Due to complex interactions among its low-lying electronic states,precise information regarding the molec... The SiS molecule,which plays a significant role in space,has attracted a great deal of attention for many years.Due to complex interactions among its low-lying electronic states,precise information regarding the molecular structure of SiS is limited.To obtain accurate information about the structure of its excited states,the high-precision multireference configuration interaction(MRCI)method has been utilized.This method is used to calculate the potential energy curves(PECs)of the 18Λ–S states corresponding to the lowest dissociation limit of SiS.The core–valence correlation effect,Davidson’s correction and the scalar relativistic effect are also included to guarantee the precision of the MRCI calculation.Based on the calculated PECs,the spectroscopic constants of quasi-bound and bound electronic states are calculated and they are in accordance with previous experimental results.The transition dipole moments(TDMs)and dipole moments(DMs)are determined by the MRCI method.In addition,the abrupt variations of the DMs for the 1^(5)Σ^(+)and 2^(5)Σ^(+)states at the avoided crossing point are attributed to the variation of the electronic configuration.The opacity of SiS at a pressure of 100 atms is presented across a series of temperatures.With increasing temperature,the expanding population of excited states blurs the band boundaries. 展开更多
关键词 SIS OPACITY excited state spectroscopic constant configuration interaction
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Role of excited states in helium-like ions on high-order harmonic generation
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作者 罗江华 肖佳俊 《Chinese Physics B》 SCIE EI CAS CSCD 2023年第11期408-412,共5页
We theoretically investigate high-order harmonic generation(HHG) of helium(He), lithium cation(Li+), and beryllium dication(Be2+) using the time-dependent Hartree–Fock method to solve the three-dimensional time-depen... We theoretically investigate high-order harmonic generation(HHG) of helium(He), lithium cation(Li+), and beryllium dication(Be2+) using the time-dependent Hartree–Fock method to solve the three-dimensional time-dependent Schr ¨odinger equation. It is found that the intensity of the HHG increases significantly from a certain harmonic order below the ionization threshold, and the initial position of the enhancement does not depend on the intensity or the wavelength of the driving laser field. Further analysis shows that excited states play an important role on this enhancement,consistent with the excited-state tunneling mechanism [Phys. Rev. Lett. 116 123901(2016)]. Our results unambiguously show that excited-state tunneling is essential for understanding the enhancement of HHG. Accordingly, a four-step model is herein proposed to illustrate the multiphoton excitation effect in helium-like ions, which enriches the physics of HHG enhancement. 展开更多
关键词 high-order harmonic generation ultrafast phenomena excited states
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Two-proton radioactivity from excited states of proton-rich nuclei within Coulomb and Proximity Potential Model
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作者 De-Xing Zhu Yang-Yang Xu +3 位作者 Li-Jia Chu Xi-Jun Wu Biao He Xiao-Hua Li 《Nuclear Science and Techniques》 SCIE EI CAS CSCD 2023年第9期1-7,共7页
In the present work,we extend the Coulomb and Proximity Potential Model(CPPM)to study two-proton(2p)radioactivity from excited states while the proximity potential is chosen as AW95 proposed by Aage Withner in 1995.De... In the present work,we extend the Coulomb and Proximity Potential Model(CPPM)to study two-proton(2p)radioactivity from excited states while the proximity potential is chosen as AW95 proposed by Aage Withner in 1995.Demonstration reveals that the theoretical results acquired by CPPM exhibit a high level of consistency with prior theoretical models such as the unified fission model(UFM),generalized liquid-drop model(GLDM)and effective liquid-drop model(ELDM).Furthermore,within the CPPM,we predicted the half-lives of potential 2p radioactive nuclei for which experimental data are currently unavailable.The predicted results were then assessed,compared with UFM,ELDM and GLDM models,and examined in detail. 展开更多
关键词 2p radioactivity CPPM HALF-LIVES excited state
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Variational Calculation of the Doubly-Excited States Nsnp of He-Like Ions via the Modified Atomic Orbitals Theory 被引量:1
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作者 Abdourahmane Diallo Ibrahima Sakho +2 位作者 Jean Kouhissoré Badiane Mamadou Diouldé Ba Modou Tine 《Journal of Modern Physics》 2021年第2期105-121,共17页
In this paper, we have declined the formalism of the method of the Modified Atomic Orbital Theory (MAOT) applied to the calculations of energies of doubly excited states 2<em>snp</em>, 3<em>snp</e... In this paper, we have declined the formalism of the method of the Modified Atomic Orbital Theory (MAOT) applied to the calculations of energies of doubly excited states 2<em>snp</em>, 3<em>snp</em>, and 4<em>snp</em> Helium-like systems. Then we also applied the variational procedure of the Modified Atomic Orbital Theory to the computations of total energies, excitation energies of doubly-excited states 2<em>snp</em>, 3<em>snp</em>, 4<em>snp</em> types of Helium-like systems. The results obtained in this work are in good agreement with the experimental and theoretical values available. 展开更多
关键词 Modified Atomic Orbital Theory Doubly excited states Excitation Energy Helium-Like Systems
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THEORETICAL STUDY ON THE EXCITED STATES AND STABILITIES OF B_3, B_3^- AND B_3^+
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作者 Ze Xing CAO, An Min TIAN, Guo Ming LIANG, and Guo Sen YAN Department of Chemistry, Sichuan University, Chengdu 610064 《Chinese Chemical Letters》 SCIE CAS CSCD 1993年第1期75-78,共4页
The geometries and vibrational frequencies of the ground and low-lying excited states for B_3, B_3^- and B_3^+ are determined with the energy gradient method using the polarized double-zeta(6-31G*) basis set. The stab... The geometries and vibrational frequencies of the ground and low-lying excited states for B_3, B_3^- and B_3^+ are determined with the energy gradient method using the polarized double-zeta(6-31G*) basis set. The stabilities for the states of B_3,B_3^- and B_3^+ have been investigated based on the vibrational analysis. The correlation energy obtained for each state is considered with the configuration interaction (CISD+Q) technique. B_3 and B_3^+ have stable equilateral triangle geometry, while B_3^- has stable equilateral triangle, isosceles triangle and linear geometries. The Jahn-Teller distortion for a ~3E' state of B_3^- in D_(3h) symmetry is also discussed. 展开更多
关键词 AND B3 B3 THEORETICAL STUDY ON THE excited states AND STABILITIES OF B3 功山
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Radiative decay from doubly to singly excited states of He via generalization of Laguerre-type orbitals: A non-orthogonal formalism
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作者 熊庄 Bacalis N C 《Chinese Physics B》 SCIE EI CAS CSCD 2007年第2期374-381,共8页
By taking full account of the non-orthogonality of the orbitals between the low-lying doubly excited states ^1po and the singly excited states ^1S^e and ^1D^e of He, the corresponding radiative decay rates have been i... By taking full account of the non-orthogonality of the orbitals between the low-lying doubly excited states ^1po and the singly excited states ^1S^e and ^1D^e of He, the corresponding radiative decay rates have been investigated theoretically via analytic generalized Laguerre-type atomic orbitals at a nearly numerical multi-conflguration self-consistent field accuracy in a general non-orthogonal configuration interaction scheme. From these rates, we calculate the VUV photon emission and metastable atom spectra, and both are found to be in good qualitative agreement with recent excellent measurements. We obtain, successfully, the enhancement of the VUV photon spectrum, experimentally observed at the energy of (2s4p-4s2p)/(2p,3d) ^1po as compared with other nearby lying states. The mechanism proposed by Odling-Smee et al is verified, implying that taking appropriate account of the overlap existing between orbitals of the low-lying doubly excited and singly excited states (especially important for the compact orbitals) can reveal basic physical dominant mechanism and is crucial in understanding these spectra. 展开更多
关键词 doubly excited states singly excited states analytic basis functions non-orthogonality formalism
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Population Distribution of Excited States in Cs Electrodeless Discharge Lamp
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作者 祝传文 陶智明 +4 位作者 陈默 刘忠征 张晓刚 张盛楠 陈景标 《Chinese Physics Letters》 SCIE CAS CSCD 2015年第6期40-42,共3页
We measure the intensity of fluorescence spectral lines of Cs atoms in an electrodeless discharge lamp from visible light to the near-infrared region of 400-100Ohm. To build an excited state Faraday anomalous dispersi... We measure the intensity of fluorescence spectral lines of Cs atoms in an electrodeless discharge lamp from visible light to the near-infrared region of 400-100Ohm. To build an excited state Faraday anomalous dispersion optical filter, the population ratios between the excited states are calculated by rate equations and the spontaneous transition probabilities. The electrodeless discharge lamp with populations in the excited states can be used to realize the frequency stabilization reference for lasers at multiwavelength and the excited state Faraday anomalous dispersion optical filter for submarine communication applications in blue-green wavelengths to simplify the system. 展开更多
关键词 Population Distribution of excited states in Cs Electrodeless Discharge Lamp CS
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Calculations Energy of the (<i>nl</i><sup>2</sup>) <sup>1</sup><i>L<sup>π</sup></i>Doubly Excited States of Two-Electron Systems via the Screening Constant by Unit Nuclear Charge Formalism
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作者 Momar Talla Gning Ibrahima Sakho Malick Sow 《Journal of Modern Physics》 2020年第11期1891-1910,共20页
In this work, the total energies of doubly excited states (<em>ns</em><sup>2</sup>) <sup>1</sup>S<sup>e</sup>, (<em>np</em><sup>2</sup>) <sup&... In this work, the total energies of doubly excited states (<em>ns</em><sup>2</sup>) <sup>1</sup>S<sup>e</sup>, (<em>np</em><sup>2</sup>) <sup>1</sup>D<sup>e</sup>, (<em>nd</em><sup>2</sup>) <sup>1</sup>G<sup>e</sup>, (<em>nf</em><sup>2</sup>) <sup>1</sup>I<sup>e</sup>, (<em>ng</em><sup>2</sup>) <sup>1</sup>K<sup>e</sup>, and (<em>nh</em><sup>2</sup>) <sup>1</sup>M<sup>e</sup> of the helium isoelectronic sequence with Z ≤ 10 are calculated in the framework of the variational method of the Screening Constant by Unit Nuclear Charge (SCUNC). These calculations are performed using a new wavefunction correlated to Hylleraas-type. The possibility of using the SCUNC method in the investigation of high-lying Doubly Excited States(DES) in two-electron systems is demonstrated in the present work in the case of the (<em>nl</em><sup>2</sup>) <sup>1</sup><em>L</em><sup><span style="white-space:nowrap;"><span style="white-space:nowrap;"><span style="white-space:nowrap;"><em>&pi;</em></span></span></span></sup> doubly excited states, where accurate total energies are tabulated up to <em>n</em> = 20. All the results obtained in this paper are in agreement with the values of the available literature and may be useful for future experimental and theoretical studies on the doubly excited (<em>nl</em><sup>2</sup>) <sup>1</sup><em>L</em><sup><span style="white-space:nowrap;"><span style="white-space:nowrap;"><em>π</em></span></span></sup> states of two-electron systems. 展开更多
关键词 Doubly excited states Helium-Like Systems Screening Constant by Unit Nuclear Charge (SCUNC) Wave Functions Correlated Total Energy
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Behaviours of the excited states 1s^2 np along lithium isoelectronic sequence from Z=11 to 20 被引量:3
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作者 胡木宏 王治文 《Chinese Physics B》 SCIE EI CAS CSCD 2008年第3期908-914,共7页
Based on the obtained energy values of 1s^2np (n≤ 9) states for lithium-like systems from Z=11 to 20 (by the authors of this paper: Hu M H and Wang Z W 2004 Chin. Phys. 13 662), this paper determines the quantum... Based on the obtained energy values of 1s^2np (n≤ 9) states for lithium-like systems from Z=11 to 20 (by the authors of this paper: Hu M H and Wang Z W 2004 Chin. Phys. 13 662), this paper determines the quantum defects, as slowly varying function of energy, of this Rydberg series. Using them as input, it can predict the energies of any highly excited states below the ionization threshold for this series a^cording to the quantum defect theory. The regularities of variation for quantum defects of the series along this isoelectronic sequence are physically analysed and discussed. The screening parameters, which are equal to the effective screening charge of the core-electrons, are also obtained. 展开更多
关键词 lithium-like system excited state quantum defect screening parameter
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Role of excited states in the elliptically polarized harmonic generation 被引量:1
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作者 杜洪川 文一震 +1 位作者 王小山 胡碧涛 《Chinese Physics B》 SCIE EI CAS CSCD 2014年第3期219-223,共5页
We theoretically investigate the contribution of the excited state to the ellipticity of the harmonics from H+ at different orientation angles irradiated by a linearly polarized laser pulse. It is found that the firs... We theoretically investigate the contribution of the excited state to the ellipticity of the harmonics from H+ at different orientation angles irradiated by a linearly polarized laser pulse. It is found that the first excited state has a significant influence to the ellipticity of the harmonics, and the contribution of higher excited states to the ellipticity can be neglected. Moreover, the conclusion is not dependent on the laser intensity. 展开更多
关键词 high-order harmonic generation intense laser excited state ELLIPTICITY
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Time-dependent Density Functional Theory Study on the Electronically Excited States of N-Methylformamide in Aqueous Solution 被引量:1
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作者 尹淑慧 马超 +4 位作者 何香怡 郭明星 许雪松 宋哲 韩易轩 《Chinese Journal of Structural Chemistry》 SCIE CAS CSCD 2012年第7期925-932,共8页
Excited-state hydrogen-bonding dynamics of N-methylformamide (NMF) in water has been investigated by time-dependent density functional theory (TDDFT) method. The ground-state geometry optimizations were calculated... Excited-state hydrogen-bonding dynamics of N-methylformamide (NMF) in water has been investigated by time-dependent density functional theory (TDDFT) method. The ground-state geometry optimizations were calculated by density functional theory (DFT) method, while the electronic transition energies and corresponding oscillation strengths of the low-lying electronically excited states of isolated NMF, water monomers and the hydrogen-bonded NMF-H 2 O were calculated by TDDFT method. According to Zhao's rule on the excited-state hydrogen bonding dynamics, our results demonstrate that the intermolecular hydrogen bond C=O···O-H is strengthened and weakened in different electronically excited states. The hydrogen bond strengthening and weakening in the electronically excited state plays an important role in the photophysics of NMF in solutions. 展开更多
关键词 hydrogen bond excited state NMF DFT/TDDFT
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Dynamics of the reaction of O with H_2 and its isotopic variants in different rotational excited states
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作者 刘玉芳 刘彦磊 梁斌 《Chinese Physics B》 SCIE EI CAS CSCD 2012年第9期547-553,共7页
Scalar properties and vector correlations of the reactions of O+H2 →OH+H, O+HD→OH+D, O+DH→OD+H, and O+D2 -+OD+D at collision energies of 25 and 34.6 kcal/mole have been studied via the quasi-classical-traj... Scalar properties and vector correlations of the reactions of O+H2 →OH+H, O+HD→OH+D, O+DH→OD+H, and O+D2 -+OD+D at collision energies of 25 and 34.6 kcal/mole have been studied via the quasi-classical-trajectory (QCT) method based on a BMS1 potential energy surface (PES). The generalized polarization-dependent differential cross section and the distributions of the dihedral angle at the collision energy of 34.6 kacl/mole are presented. The calculated results indicate that both the reagent rotational angular momentum and the mass factor have a significant influence on the scalar properties and vector correlations of the title reactions. 展开更多
关键词 quasi-classical-trajectory calculation rotational excited state isotopic effect vector cor-relation
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Iterative solutions for low lying excited states of a class of SchrSdinger equation
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作者 R.Friendberg 李政道 赵维勤 《Chinese Physics B》 SCIE EI CAS CSCD 2006年第9期1909-1913,共5页
The convergent iterative procedure for solving the groundstate Schrodinger equation is extended to derive the excitation energy and the wavefunction of the low-lying excited states. The method is applied to the one-di... The convergent iterative procedure for solving the groundstate Schrodinger equation is extended to derive the excitation energy and the wavefunction of the low-lying excited states. The method is applied to the one-dimensional quartic potential problem. The results show that the iterative solution converges rapidly when the coupling g is not too small. 展开更多
关键词 iterative solution low-lying excited state CONVERGENCE
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Variational-integral perturbation corrections of some lower excited states for hydrogen atoms in magnetic fields
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作者 袁琳 赵云辉 +2 位作者 徐军 周本胡 海文华 《Chinese Physics B》 SCIE EI CAS CSCD 2012年第10期206-213,共8页
A variational-integral perturbation method(VIPM) is established by combining the variational perturbation with the integral perturbation.The first-order corrected wave functions are constructed,and the second-order ... A variational-integral perturbation method(VIPM) is established by combining the variational perturbation with the integral perturbation.The first-order corrected wave functions are constructed,and the second-order energy corrections for the ground state and several lower excited states are calculated by applying the VIPM to the hydrogen atom in a strong uniform magnetic field.Our calculations demonstrated that the energy calculated by the VIPM only shows a negative value,which indicates that the VIPM method is more accurate than the other methods.Our study indicated that the VIPM can not only increase the accuracy of the results but also keep the convergence of the wave functions. 展开更多
关键词 variational-integral perturbation method lower excited state convergence
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Photoluminescent nickel(Ⅱ)carbene complexes with ligand-to-ligand charge-transfer excited states
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作者 Chun-Liang Hou Jia-Xi Song +1 位作者 Xiaoyong Chang Yong Chen 《Chinese Chemical Letters》 SCIE CAS CSCD 2024年第1期357-360,共4页
While nickel(II)complexes have been widely used as catalysts for carbon-carbon coupling reactions,the exploration of their photophysical and photochemical properties is still in the infancy.Here,a series of square-pla... While nickel(II)complexes have been widely used as catalysts for carbon-carbon coupling reactions,the exploration of their photophysical and photochemical properties is still in the infancy.Here,a series of square-planar Ni(II)complexes[(diNHC)NiX2]bearing chelating benzimidazole-based bis(N-heterocyclic carbene)ligands and varying anionic coligands(1,X=Cl;2,X=Br;3,X=I)are synthesized and structurally characterized.In solid state,both 1 and 2 exhibit orange-red photoluminescence under ambient conditions.The photophysical and electrochemical measurements along with density functional theory(DFT)calculations reveal that the low-energy emissions can be attributed to singlet excited states with ligand-to-ligand charge-transfer(LLCT)character.This work suggests that strong-field N-heterocyclic carbene ligands play a crucial role to achieve the luminescence of Ni(II)complexes. 展开更多
关键词 Nickel(II)complexes N-Heterocyclic carbene Luminescence Ligand-to-ligand charge-transfer character Low-lying d-d excited states
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GRADIENT FLOW FINITE ELEMENT DISCRETISATIONS WITH ENERGY-BASED ADAPTIVITY FOR EXCITED STATES OF SCHRÖDINGER'S EQUATION
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作者 Pascal Heid 《Journal of Computational Mathematics》 SCIE CSCD 2023年第5期933-955,共23页
The purpose of this paper is to verify that the computational scheme from[Heid et al.,Gradient flow finite element discretizations with energy-based adaptivity for the Gross–Pitaevskii equation,J.Comput.Phys.436(2021... The purpose of this paper is to verify that the computational scheme from[Heid et al.,Gradient flow finite element discretizations with energy-based adaptivity for the Gross–Pitaevskii equation,J.Comput.Phys.436(2021)]for the numerical approximation of the ground state of the Gross–Pitaevskii equation can equally be applied for the effective approximation of excited states of Schr¨odinger’s equation.That procedure employs an adaptive interplay of a Sobolev gradient flow iteration and a novel local mesh refinement strategy,and yields a guaranteed energy decay in each step of the algorithm.The computational tests in the present work highlight that this strategy is indeed able to approximate excited states,with(almost)optimal convergence rate with respect to the number of degrees of freedom. 展开更多
关键词 Schrodinger’s equation excited states Gradient flows Adaptive finite element methods
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Afterglow bio-applications by utilizing triplet excited states of organic materials
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作者 Yuanyuan Fan Qianqian Li Zhen Li 《Science China Chemistry》 SCIE EI CAS CSCD 2023年第11期2930-2940,共11页
Organic room temperature phosphorescence(RTP) materials with persistent afterglow exhibit good biocompatibility, high signal to noise ratio and time resolved imaging characteristics in bio-applications. Moreover, they... Organic room temperature phosphorescence(RTP) materials with persistent afterglow exhibit good biocompatibility, high signal to noise ratio and time resolved imaging characteristics in bio-applications. Moreover, they can serve as hypoxia detection probes and photodynamic therapy agents for the sensitivity of triplet excitons toward oxygen in the surroundings. In this review, the recent progress of in vitro and in vivo afterglow bioimaging is presented by utilizing organic RTP materials. The strategies of molecular design and controlling methods of molecular packing were summarized, to prompt this new rising research field, with the emphasis on high intensity, ultralong lifetimes and red-shifted wavelengths of phosphorescence emission. 展开更多
关键词 afterglow bioimaging room temperature phosphorescence triplet excited states
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Investigation of electronic excited states in single-molecule junctions 被引量:1
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作者 Wei Xu Ruihao Li +3 位作者 Chenhao Wang Jiahe Zhong Junyang Liu Wenjing Hong 《Nano Research》 SCIE EI CSCD 2022年第6期5726-5745,共20页
The investigation of electronic excited states in single-molecule junctions not only provides platforms to reveal the photophysical and photochemical processes at the molecular level,but also brings opportunities for ... The investigation of electronic excited states in single-molecule junctions not only provides platforms to reveal the photophysical and photochemical processes at the molecular level,but also brings opportunities for the development of single-molecule optoelectronic devices.Understanding the interaction mechanisms between molecules and nanocavities is essential to obtain ondemand properties in devices by artificial design,since molecules in junctions exhibit unique behaviors of excited states benefited from the structures of metallic nanocavities.Here,we review the excitation mechanisms involved in the interplay between molecules and plasmonic nanocavities,and reveal the influence of nanostructures on excited-state properties by demonstrating the differences in excited state decay processes.Furthermore,vibronic transitions of molecules between nanoelectrodes are also discussed,offering a new single-molecule characterization method.Finally,we provide the potential applications and challenges in single-molecule optoelectronic devices and the possible directions in exploring the underlying mechanisms of photophysical and photochemical processes. 展开更多
关键词 single-molecule junction electronic excited states excited state decay processes vibronic transitions
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Cluster decay of the high-lying excited states in 14C*
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作者 田正阳 叶沿林 +23 位作者 李智焕 林承键 李奇特 葛愉成 楼建玲 蒋伟 李晶 杨再宏 冯俊 李朋杰 陈洁 刘强 臧宏亮 杨彪 张允 陈志强 刘洋 孙晓慧 马竞 贾会明 徐新星 杨磊 马南茹 孙立杰 《Chinese Physics C》 SCIE CAS CSCD 2016年第11期1-4,共4页
A cluster-transfer experiment of 9Be(gBe,14 C --+ a+lOBe)e: at an incident energy of 45 MeV was carried out in order to investigate the molecular structure in high-lying resonant states in 14C. This reaction is o... A cluster-transfer experiment of 9Be(gBe,14 C --+ a+lOBe)e: at an incident energy of 45 MeV was carried out in order to investigate the molecular structure in high-lying resonant states in 14C. This reaction is of extremely large Q-value, making it an excellent case to select the reaction mechanism and the final states in outgoing nuclei. The high-lying resonances in 14C are reconstructed for three sets of well discriminated final states in 10Be. The results confirm the previous decay measurements with clearly improved decay-channel selections and also show a new state at 23.5(1) MeV. The resonant states at 22.4(3) and 24.0(3) MeV decay primarily into the typical molecular states at about 6 MeV in 10Be, indicating a well developed cluster structure in these high-lying states in l4C. Further measurements of more states of this kind are suggested. 展开更多
关键词 transfer reaction high-lying excited states cluster decay molecular structure RECONSTRUCTION
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Geometric quantities of lower doubly excited bound states of helium
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作者 周成栋 余岳武 +1 位作者 杨三江 乔豪学 《Chinese Physics B》 SCIE EI CAS CSCD 2022年第3期160-164,共5页
Expectation values of single electron and interelectronic geometric quantities such as <γ>,<γ_(12)> ,<γ_(<)> , <γ_(>)>,<cosθ_(12)> and <θ_(12)> are calculated for doubly... Expectation values of single electron and interelectronic geometric quantities such as <γ>,<γ_(12)> ,<γ_(<)> , <γ_(>)>,<cosθ_(12)> and <θ_(12)> are calculated for doubly excited 2pnp ^(1)P^(e)(3 ≤ n ≤ 5), 2pnp ^(3)P^(e)(2 ≤ n ≤ 5)and 2pnd ^(1,3)D°(3 ≤ n ≤ 5) states of helium using Hylleraas-B-spline basis set. The energy levels converge to at least 10 significant digits in our calculations.The extrapolated values of geometric quantities except for <θ_(12)> reach 10 significant digits as well;<θ_(12)> reaches at least 7 significant digits using a multipole expansion approach. Our results provide a precise reference for future research. 展开更多
关键词 doubly excited states unnatural parity Hylleraas-B-spline geometric quantities
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