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Improved Ligand-Field Theory with Effect of Electron-Phonon Interaction 被引量:1
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作者 MADong-Ping CHENJu-Ron 《Communications in Theoretical Physics》 SCIE CAS CSCD 2005年第3期529-538,共10页
Traditional ligand-field theory has to be improved by taking into account both 'pure electronic' contribution and electron-phonon interaction one (including lattice-vibrational relaxation energy). By means of ... Traditional ligand-field theory has to be improved by taking into account both 'pure electronic' contribution and electron-phonon interaction one (including lattice-vibrational relaxation energy). By means of improved ligand-field theory, R1, R2, R'3, R'2, and R'1 lines, U band, ground-state zero-field-splitting (GSZFS), and ground-state g factors of ruby and/or GSGG: Cr3+ as well as thermal shifts of GSZFS, R1 line and R2 line of ruby have been calculated.The results are in very good agreement with the experimental data. Moreover, it is found that the value of cubic-field parameter given by traditional ligand-field theory is inappropriately large. For thermal shifts of GSZFS, R1 line and R2 line of ruby, several conclusions have also been obtained. 展开更多
关键词 improved ligand-field theory electron-phonon interaction Stokes shift energy spectrum thermal shift g factor
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Improved Ligand-Field Calculation of Energy Spectrum and R-Line Thermal Shift of MgO:Cr^3+
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作者 ZHANG Zheng-Jie MA Dong-Ping 《Communications in Theoretical Physics》 SCIE CAS CSCD 2007年第5期937-943,共7页
Traditional ligand-field theory has to be improved by taking into account both pure electronic contribution and electron-phonon interaction one (including lattice-vibrational relaxation energy). By means of improved... Traditional ligand-field theory has to be improved by taking into account both pure electronic contribution and electron-phonon interaction one (including lattice-vibrational relaxation energy). By means of improved ligand-field theory, the R-line, t^3 2^2 T1 lines, t^2 2(^3 T1)e^4 T2, and t^2 2(^3T1)e^4T1 bands, ground-state g factor, four strain-induced level- splittings, and R-line thermal shift of MgO:Cr^3+ have been calculated. The results are in very good agreement with the experimental data. It is found that for MgO:Cr^3+, the contributions due to electron-phonon interaction (EPI) come from the first-order term. In thermal shift of R-line of MgO:Cr^3+, the temperature-dependent contribution due to EPI is dominant. 展开更多
关键词 improved ligand-field theory electron-phonon interaction energy spectrum strain-induced splitting thermal shift g factor
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Ligand-field regulated superalkali behavior of the aluminum-based clusters with distinct shell occupancy
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作者 Jun Li Mingwei Cui +2 位作者 Huan Yang Jing Chen Shibo Cheng 《Chinese Chemical Letters》 SCIE CAS CSCD 2022年第12期5147-5151,共5页
Protecting clusters from coalescing by ligands has been universally adopted in the chemical synthesis of atomically precise clusters.Apart from the stabilization role,the effect of ligands on the electronic properties... Protecting clusters from coalescing by ligands has been universally adopted in the chemical synthesis of atomically precise clusters.Apart from the stabilization role,the effect of ligands on the electronic properties of cluster cores in constructing superatoms,however,has not been well understood.In this letter,a comprehensive theoretical study about the effect of an organic ligand,methylated N-heterocyclic carbene(C_(5)N_(2)H_(8)),on the geometrical and electronic properties of the aluminum-based clusters XAl_(12)(X=Al,C and P)featuring different valence electron shells was conducted by utilizing the density functional theory(DFT)calculations.It was observed that the ligand can dramatically alter the electronic properties of these aluminum-based clusters while maintaining their structural stability.More intriguingly,different from classical superatom design strategies,the proposed ligation strategy was evidenced to possess the capability of remarkably reducing the ionization potentials(IP)of these clusters forming the ligated superalkalis,which is regardless of their shell occupancy.The charge transfer complex formed during the ligation process,which regulates the electronic spectrum through the electrostatic Coulomb potential,was suggested to be responsible for such an IP drop.The ligation strategy highlighted here may provide promising opportunities in realizing the superatom synthesis in the liquid phase. 展开更多
关键词 Superalkali Density functional theory ligand-field strategy Aluminum-based cluster Electronic property
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Improved Ligand-Field Theoretical Calculations of R-Line Thermal Broadenings of MgO:Cr^(3+) and MgO:V^(2+)
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作者 ZHANG Zheng-Jie MA Dong-Ping 《Communications in Theoretical Physics》 SCIE CAS CSCD 2008年第11期1245-1248,共4页
With the values of parameters obtained from improved ligand-field theory,by taking into account all theirreducible representations and their components in EPI as well as all the levels and the admixtures of basic wave... With the values of parameters obtained from improved ligand-field theory,by taking into account all theirreducible representations and their components in EPI as well as all the levels and the admixtures of basic wavefunc-tions within d^3 electronic configuration,the R-line thermal broadenings(TB)of both MgO:Cr^(3+)and MgO:V^(2+)havemicroscopic-theoretically been calculated.The results are in very good agreement with the experimental data.It is foundthat the R-line TB of MgO:Cr^(3+)or MgO:V^(2+)comes from the first-order term of EPI.The elastic Raman scattering ofacoustic phonons plays a dominant role in R-line TB of MgO:Cr^(3+)or MgO:V^(2+). 展开更多
关键词 improved ligand-field theory electron-phonon interaction R line thermal broadening elastic Raman scattering
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Improved Ligand-Field Theoretical Calculation of R-Line Pressure-Induced Shift of MgO:V^(2+)
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作者 ZHANG Zheng-Jie MA Dong-Ping 《Communications in Theoretical Physics》 SCIE CAS CSCD 2008年第9期781-786,共6页
By means of an improved ligand-field theory, the "pure electronic" PS and the PS due to EPI of R line of MgO: V^2+ have been calculated, respectively. The calculated results are in very good agreement with the exp... By means of an improved ligand-field theory, the "pure electronic" PS and the PS due to EPI of R line of MgO: V^2+ have been calculated, respectively. The calculated results are in very good agreement with the experimental data. The behaviors of the pure electronic PS of R line of MgO:V^2+ and the PS of its R line due to EPI are different. It is the combined effect of them that gives rise to the total PS of R line, which has satisfactorily explained the experimental results. The mixing-degree of |t2^2(^3T1)e^4T2〉 and |t2^3 ^2E〉 in the wavefunetion of R level and its variation with pressure have been calculated and analyzed. The comparison between the feature of R-line PS of MgO:V^2+ and that of MgO:Cr^3+ has been made. 展开更多
关键词 high-pressure effect electron-phonon interaction R line improved ligand-field theory the admix-ture of |t2^2(^3T1)e^4T2〉 and |t2^3 2E〉
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Analysis of Ground-state Zero-field Splitting for Mn^(2+) Ions in[Co(H_(2)O)]XY_(6) (X=Si,Sn,Pt;Y=F,Cl)
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作者 LI Jufen SU Juan +3 位作者 YI Xuebin TANG Bin WU Xinhui ZHONG Shuirong 《Journal of Wuhan University of Technology(Materials Science)》 SCIE EI CAS 2021年第4期595-599,共5页
The electron paramagnetic spectra of trigonal Mn^(2+) centers in[Co(H_(2)O)_(6)]SiF6,[Co(H_(2)O)_(6)]SnF6,and[Co(H_(2)O)_(6)]PtCl6 crystals were studied on the basis of the complete energy matrices for a d5 configurat... The electron paramagnetic spectra of trigonal Mn^(2+) centers in[Co(H_(2)O)_(6)]SiF6,[Co(H_(2)O)_(6)]SnF6,and[Co(H_(2)O)_(6)]PtCl6 crystals were studied on the basis of the complete energy matrices for a d5 configuration ion in a trigonal ligand field.When Mn^(2+) is doped in the[Co(H_(2)O)_(6)]SiF6,[Co(H_(2)O)_(6)]SnF6,and[Co(H_(2)O)_(6)]PtCl6 crystals crystals,there is a similar local distortion.The experimental results show that the local lattice structure around a trigonal Mn^(2+) center has an elongation distortion along the crystalline C3 axis.From the EPR calculation,the local lattice structure parameters R=2.278A,θ=52.6406? for[Co(H_(2)O)_(6)]SiF6,R=2.280,θ=52.4936° for[Co(H_(2)O)_(6)]SnF6 and R=2.244A,θ=53.0616? for[Co(H_(2)O)_(6)]PtCl6 were determined. 展开更多
关键词 [Co(H_(2)O)_(6)]SiF6 [Co(H_(2)O)_(6)]SnF_(6)and[Co(H_(2)O)_(6)]PtCl_(6) local lattice structure distortion EPR spectrum ligand-fields theory
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Theoretical Study of Electron Paramagnetic Resonance Spectra and Local Lattice Distortion for Mn^(2+) in Zn(ClO_4)_2·6(H_2O)Mg(ClO_4)_2·6(H_2O)
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作者 李菊芬 HUO Jianli WU Xinhui 《Journal of Wuhan University of Technology(Materials Science)》 SCIE EI CAS 2018年第3期571-574,共4页
The electron paramagnetic resonance(EPR) spectra of trigonal Mn^(2+) centers in Zn(ClO4)2·6(H2O) and Mg(ClO4)2·6(H2O) crystals were studied on the basis of the complete energy matrices for a d^5... The electron paramagnetic resonance(EPR) spectra of trigonal Mn^(2+) centers in Zn(ClO4)2·6(H2O) and Mg(ClO4)2·6(H2O) crystals were studied on the basis of the complete energy matrices for a d^5 configuration ion in a trigonal ligand field. It was demonstrated that the local lattice structure around a trigonal Mn^(2+) center has an compressed distortion along the crystalline c3 axis, and when Mn^(2+) is doped in the Zn(ClO4)2·6(H2O) and Mg(ClO4)2·6(H2O) crystals, there is a similar local distortion. From the EPR calculation, the local lattice structure parameters R=2.183 2 ?, for Zn(ClO4)2·6(H2O), R=2.130 2 ?, for Mg(ClO4)2·6(H2O) have been determined. 展开更多
关键词 Zn(ClO4)2·6(H2O):Mn^2+ Mg(ClO4)2·6(H2O):Mn^2+ systems local lattice structure distortion EPR spectrum ligand-fields theory
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Calculations of the Spin-Lattice Coupling Coefficients Fij and Zij for MgO:Co2+Crystal 被引量:1
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作者 ZHENG Wen-Chen WU Shao-Yi 《Communications in Theoretical Physics》 SCIE CAS CSCD 2001年第10期487-490,共4页
According to a uniform and simple method of calculating spin-lattice coupling coefficients and the pert1rbation formulas of gi factors and hyperfine structure constants Ai based on the cluster approach for 3d7 ions in... According to a uniform and simple method of calculating spin-lattice coupling coefficients and the pert1rbation formulas of gi factors and hyperfine structure constants Ai based on the cluster approach for 3d7 ions in cubic,tetragonal and trigonal octahedral crystal fields, the spin-lattice coupling coefficients Fij (F11, Fl2, F44), Zij (Z11, Z12,Z44) and also g factor and hyperfine constant A for MgO:Co2+ are calculated by using the parameters obtained from the optical spectra without adjustable parameters. The calculated results show good agreement with the observed values.The difiiculty in explaining the coeficients Fij and Zij is therefore removed. 展开更多
关键词 spin-lattice coupling coefficients electronic PARAMAGNETIC resonance crystal- and ligand-field theory Co2+ MGO CRYSTAL
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Energy Spectrum, g Factors, Strain-Induced Level-Splittings and R-Line Thermal Shift of MgO:V^(2+)
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作者 ZHANG Zheng-Jie MA Dong-Ping 《Communications in Theoretical Physics》 SCIE CAS CSCD 2008年第8期511-516,共6页
Traditional ligand-field theory has to be improved by taking into account both pure electronic contribution and electron-phonon interaction one (including lattice-vibrational relaxation energy). By means of improved... Traditional ligand-field theory has to be improved by taking into account both pure electronic contribution and electron-phonon interaction one (including lattice-vibrational relaxation energy). By means of improved ligand-field theory, the R line, t^322T1 and t^322T2 lines, t^22(^3T1)e^4T2, t^22(^3T1)e^4T1 and t2e^2(^4A2)4T1 bands, g factors of t^32 ^4A2 and t32E, four strain-induced level-splittings and R-line thermal shift of MgO:V^2+ have been calculated. The results are in very good agreement with the experimental data. It is found that for MgO:V^2+, the contributions due to electronphonon interaction (EPI) come from the first-order term; the contributions from the second-order and higher terms are insignificant. In thermal shift of R line of MgO:V^2+, the temperature-dependent contribution due to EPI is dominant. The results obtained in this work may be used in theoretical calculations of other effects of EPI. 展开更多
关键词 improved ligand-field theory electron-phonon interaction energy spectrum strain-induced split-ting thermal shift g factor
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Theoretical Studies of Electron Paramagnetic Resonance Parameters for Cr^4+ Ions in Ca2GeO4 Crystals
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作者 WUXiao-Xuan ZHENGWen-Chen MEIYang 《Communications in Theoretical Physics》 SCIE CAS CSCD 2005年第2期337-340,共4页
The electron paramagnetic resonance (EPR) parameters (zero-Geld splitting Dand g factors g_‖, g_⊥) of Cr~(4+) ions in Ca_2 GeO_4 crystals have been calculated from thecomplete high-order perturbation formulas of EPR... The electron paramagnetic resonance (EPR) parameters (zero-Geld splitting Dand g factors g_‖, g_⊥) of Cr~(4+) ions in Ca_2 GeO_4 crystals have been calculated from thecomplete high-order perturbation formulas of EPR parameters for a 3d~2 ion in trigonal MX_4clusters. In these formulas, in addition to the contributions to EPR parameters from the widely usedcrystal-field (CF) mechanism, the contributions from the charge-transfer (CT) mechanism (which areoften neglected) are included. From the calculations, it is found that for the high valence state3d~n ions in crystals, the reasonable explanation of EPR parameters (in particular, the g factors)should take both the CF and CT mechanisms into account. 展开更多
关键词 crystal- and ligand-field theory electron paramagnetic resonance charge-transfer mechanism optical spectroscopy tunable laser crystal
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Theoretical Studies of g Factors and Defect Structures for Cubic, Tetragonal, and Orthorhombic Fe^+ Centers in Alkali Halides MX (M=Li, Na; X = F, C1)
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作者 LIU Hong-Gang WU Xiao-Xuan ZHENG Wen-Chen 《Communications in Theoretical Physics》 SCIE CAS CSCD 2006年第1X期167-170,共4页
The EPR 9 factors for cubic, tetragonal and orthorhombic Fe^+ centers in alkali halides MX (M= Li, Na; X = F, CI) are calculated from second-order perturbation formulas of g factors based on cluster approach for 3... The EPR 9 factors for cubic, tetragonal and orthorhombic Fe^+ centers in alkali halides MX (M= Li, Na; X = F, CI) are calculated from second-order perturbation formulas of g factors based on cluster approach for 3d^7 ions in three symmetries. From calculations, the g factors of these Fe^+ centers in MX crystals are reasonably explained and the defect structural data for the tetragonal and orthorhombic Fe^+ centers are estimated. The results are discussed. 展开更多
关键词 crystal- and ligand-field theory electron paramagnetic resonance defect structure
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Pressure-Induced Shift of R-Line of MgO:Cr^3+ with Electron-Phonon Interaction Effect
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作者 ZHANG Zheng-Jie MA Dong-Ping 《Communications in Theoretical Physics》 SCIE CAS CSCD 2007年第2X期357-362,共6页
By means of improved ligand-field theory, the "pure electronic" pressure-induced shift (PS) and the PS due to electron-phonon interaction (EPI) of R-line of MgO:Cr^3+ have been calculated, respectively. The ca... By means of improved ligand-field theory, the "pure electronic" pressure-induced shift (PS) and the PS due to electron-phonon interaction (EPI) of R-line of MgO:Cr^3+ have been calculated, respectively. The calculated results are in very good agreement with the experimental data. The behaviors of the pure electronic PS of R-line of MgO:Cr^3+ and the PS of its R-line due to EPI are different. It is the combined effect of them that gives rise to the total PS of R-line, which has satisfactorily explained the experimental results. The comparison between the feature of R-line PS of MgO:Cr^3+ and that of R1-line PS of ruby has been made. 展开更多
关键词 high-pressure effect electron-phonon interaction R-line improved ligand-field theory admixture of |t2^2(3T1)e^4T2) and |t2^32E)
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DV-X_α METHOD FOR CALCULATING d-d LIGAND-FIELD SPECTRA AND ITS APPLICATION TO(CrF_6)^(3-)
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作者 杨金龙 夏上达 汪克林 《Science China Mathematics》 SCIE 1991年第7期803-813,共11页
By extending the usual DV-X_α calculation and applying Bird's ligand-field theory, wepresent a theoretical method for calculating d-d ligand-field spectra of transition-metal com-plexes. Comparison between the ca... By extending the usual DV-X_α calculation and applying Bird's ligand-field theory, wepresent a theoretical method for calculating d-d ligand-field spectra of transition-metal com-plexes. Comparison between the calculated d-d ligand-field spectrum and the experimental (orother theoretical) results of cluster (CrF_6)^(3-) shows that this method is convenient and ef-fective. 展开更多
关键词 TRANSITION-METAL complex DV-X_a METHOD ligand-field theory d-d ligand-field spectrum.
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Optical and magnetic properties of transition-metal ions in tetrahedral and octahedral compounds 被引量:1
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作者 LI HuiFang WANG HuaiQian KUANG XiaoYu 《Science China(Physics,Mechanics & Astronomy)》 SCIE EI CAS 2011年第10期1796-1800,共5页
This paper presents the complete energy matrix of the 3d2system containing the electron-electron interaction, the ligand-fieldinteraction, the spin-orbit coupling interaction, and the Zeeman interaction, in which the ... This paper presents the complete energy matrix of the 3d2system containing the electron-electron interaction, the ligand-fieldinteraction, the spin-orbit coupling interaction, and the Zeeman interaction, in which the optical spectra and g-factor of V3+andTi2+ions in the series of tetrahedral AIIBVI(AII=Zn, Cd, BVI=S, Se, Te) semiconductor materials are determined. In the inves-tigation of the optical and magnetic properties of these transition-metal ions in the tetrahedral coordination complexes, wecompared the data obtained from the transition-metal ions in the tetrahedral coordination complexes with those obtained fromthe corresponding ions in the octahedral ones, and found that the tetrahedral complexes have weaker crystal-field strength, in-verse energy level ordering and stronger covalence effect. 展开更多
关键词 EPR and optical spectra complete energy matrix ligand-field theory tetrahedral coordination complexes octahedralcomplexes transition-metal ions
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Organic ligand mediated evolution from superalkalis to superatomic molecules and nanowires 被引量:1
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作者 Jun Li Haicai Huang +2 位作者 Jing Chen Yuxiang Bu Shibo Cheng 《Nano Research》 SCIE EI CSCD 2022年第2期1162-1170,共9页
Superatoms are considered as promising building blocks for customizing superatomic molecules and cluster-assembly nanomaterials due to their tunable electronic structures and functionalities.Electron counting rules,wh... Superatoms are considered as promising building blocks for customizing superatomic molecules and cluster-assembly nanomaterials due to their tunable electronic structures and functionalities.Electron counting rules,which mainly adjust the shell-filling of clusters,are classical strategies in designing superatoms.Here,by employing the density functional theory(DFT)calculations,we proved that the 1,4-phenylene diisocyanide(CNC_(6)H_(4)NC)ligand could dramatically reduce the adiabatic ionization potentials(AlPs)of the aluminum-based clusters,which have 39,40,and 41 valence electrons,respectively,to give rise to superalkali species without changing their shell-filling.Moreover,the rigid structure of the ligand can be used as a bridge firmly linking the same or different aluminum-based clusters to form superatomic molecules and nanowires.In particular,the bridging process was observed to enhance their nonlinear optical(NLO)responses,which can be further promoted by the oriented external electric field(OEEF).Also,the stable cluster-assembly XAl_(12)(CNC_(6)H_(4)NC)(X=Al,C,and P)nanowires were constructed,which exhibit strong absorption in the visible light region.These findings not only suggest an effective ligand-field strategy in superatom design but also unveil the geometrical and electronic evolution from the CNC_(6)H_(4)NC-based superatoms to superatomic molecules and nanomaterials. 展开更多
关键词 superatom-assembly nanomaterial density functional theory(DFT)calculation superatom networks superatomic molecule ligand-field strategy oriented external electric field
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