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pressure effects on Spectra of Tunable Laser Crystal GSGG：Cr^3＋ I：Theory

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Communications in Theoretical Physics 2003年第2期39卷 249-256页

作者： MADong－Ping ZHANGJi－Ping InternationalCentreforMaterialsPhysics AcademiaSinicaShenyang110015China DepartmentofAppliedPhysics SichuanUniversityChengdu610065China DepartmentofAppliedPhysics SichuanUniversit

A theory for shifts of energy spectra due to electron-phonon interaction (EPI) has been developed. Both the temperature-independent contributions and the temperature-dependent ones of acoustic branches and optical branches have been derived. It is found that the temperature-independent contributions are very important, especially at low temperature. The total pressure-induced shift (PS) of a level (or spectral line or band) is the algebraic sum of its PS without EPI and its PS due to EPI. By means of both the theory for shifts of energy spectra due to EPI and the theory for PS of energy spectra, the total PS of R1 line of tunable laser crystal GSGG:Cr3+ at 70 K as well as the ones of its R1 line, R2 line and U band at 300 K will be successfully calculated and explained in this series of papers.

关键词： high-pressure effect line shift spin-orbit interaction electron-phonon interaction d-orbital coupling between t(2)(2)(T-3(1))e(4)T(2) and t(2)(3) E-2 tunable laser crystal

pressure effects on Spectra of Tunable Laser Crystal GSGG： Cr^3＋ IV： pressure—Induced Shifts of R1 Line, R2 Line, and U Band at 300 K

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Communications in Theoretical Physics 2003年第4期39卷 621-630页

作者： MADong-Ping ZHANGJi-Ping DepartmentofAppliedPhysics SichuanuniversityChengdu610065China InterationalCentreforMaterialsPhysics theChineseAcademyofSciencesShenyang110015China DepartmentofAppliedPhysics SichuanuniversityChengdu610065China

By means of both a theory for pressure-induced shifts (PS) of energy spectra and a theory for shifts of energy spectra due to electron-phonon interaction (EPI), the 'pure electronic' PS and the PS due to EPI of R1 line, R2 line, and U band of GSGG:Cr3+ at 300 K have been calculated, respectively. The calculated results are in good agreement with all the experimental data. Their physical origins have also been explained. It is found that the mixing-degree of and base-wavefunctions in the wavefunctions of R1 level of GSGG:Cr3+ at 300 K is remarkable under normal pressure, and the mixing-degree rapidly decreases with increasing pressure. The change of the mixing-degree with pressure plays a key role not only for the 'pure electronic' PS of R1 line and R2 line but also the PS of R1 line and R2 line due to EPI. The pressure-dependent behaviors of the 'pure electronic' PS of R1 line (or R2 line) and the PS of R1 line (or R2 line) due to EPI are quite different. It is the combined effect of them that gives rise to the total PS of R1 line (or R2 line). In the range of about 15 kbar ~ 45 kbar, the mergence and/or order-reversal between levels and levels take place, which cause the fluctuation of the rate of PS for with pressure. At 300 K, both the temperature-dependent contribution to R1 line (or R2 line or U band) from EPI and the temperature-independent one are important.

关键词： high-pressure effect spin-orbit interaction electron-phonon interaction d orbital coupling between t(2)(2)(3T(1))e(4)T(2) and t(2)(32)E tunable laser crystal

pressure-Induced Shift of R-Line of MgO：Cr^3＋ with Electron-Phonon Interaction effect

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Communications in Theoretical Physics 2007年第2X期48卷 357-362页

作者： ZHANG Zheng-Jie MA Dong-Ping College of Information Engineering Chengdu University of Technology Chengdu 610059 China Department of Applied Physics Sichuan University Chengdu 610065 China

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.

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)

Improved Ligand-Field Theoretical Calculation of R-Line pressure-Induced Shift of MgO:V^(2+)

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Communications in Theoretical Physics 2008年第9期50卷 781-786页

作者： ZHANG Zheng-Jie MA Dong-Ping Department of Physics Chengdu University of Technology Chengdu 610059 China Department of Applied Physics Sichuan University Chengdu 610065 China

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.

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〉

pressure-Induced Shifts of R1 and R2 Lines of YAG：Cr3＋

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Communications in Theoretical Physics 2006年第4期45卷 754-760页

作者： ZHANG Zheng-Jie MA Dong-Ping College of Information Engineering Chengdu University of Technology Chengdu 610059 China Department of Applied Physics Sichuan University Chengdu 610065 China

By means of improved ligand-field theory, the ＂pure electronic＂ pressure-induced shifts （PS＇s） and the PS＇s due to electron-phonon interaction （EPI） of R1 line and R2 line of YAG：Cr^3＋ have been calculated, respectively. The calculated results are in very good agreement with the experimental data. It is demonstrated that the admixture of │t^2 2（^3T1）e^4T2〉 and │t^3 2 ^2E〉 bases in the wavefunction of RI level of YAG：Crs＋ and its change with pressure play a key role for the PS of RI line. The behaviors of the ＂pure electronic＂ PS of RI line and the PS of RI line due to EPI are different. It is the combined eEect of them that gives rise to the total PS of R1 line, which has satisfactorily explained the experimental results. The systematic analyses and comparisons between the feature of R1-line PS of YAG：Cr^3＋ and the ones of three laser crystals （GSGG：Cr^3＋, GGG：Cr^3＋ and ruby） have been made, and the origin of the difference between them has been revealed.

关键词： high-pressure effect electron-phonon interaction R lines admixture of |t22(3T1)e4T2〉 and |t322E〉 laser crystals

Theoretical Calculations of Optical Spectra and Their pressure-Induced Shifts of MgAl_2O_4:Cr^(3+)

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Communications in Theoretical Physics 2008年第5期49卷 1339-1344页

作者： WU Fei ZHANG Ji-Ping College of Physical Science and Technology Sichuan University Chengdu 610065 China

The energy levels of spectrum, wavefunetions and crystal-field parameters of MgAl2O4：Cr^3＋ at normal pressure have been calculated by the means of diagonalizing the complete d^3 energy matrix （DCEM）. With these results, the g factor of the ground state at normal pressure and the pressure-induced shift （PS） of the spectra1 levels are also calculated uniformly, and the calculated results are all in good agreement with the experimental ones. And the contributions of various crystal-field parameters to the energy levels at normal pressure and the variational rates of the R1 line shifting with the pressure are calculated, from which the physical origin of the red shift of the R1 line shifting with increasing pressure have been clearly shown.

关键词： crystal fields energy spectrum g factor high-pressure effect

pressure-Induced Shifts of R, R＇, and B Line-Groups and Ground-State Zero-Field-Splitting of Ruby

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Communications in Theoretical Physics 2005年第5期43卷 941-947页

作者： MADong-Ping CHENJu-Rong DepartmentofAppliedPhysics SichuanUniversityChengdu610065China／／InternationalCentreforMaterialsPhysicstheChineseAcademyofSciencesShenyang110015China DepartmentofAppliedPhysics SichuanUniversityChengdu610065China

By means of improved ligand-field theory, the 'pure electronic'presure-induced shifts (PS's) and the PS's due to electron-phonon interaction (EPI) of the R_1, R_2,B_1, B_2, B_3, and R′_3 lines and the ground-state zero-Geld-splitting of ruby have been uniformlycalculated. The calculation results are in very good agreement with all the experimental data. Atnormal pressure, ruby is a crystal with very strong crystal field. Thus, the admixture of ∣t_2~2(~3T_1)e~4T_2 > and ∣t_2~(32)E＞ bases in the wavefunction of R_1 level of ruby is small at normalpressure, and it gradually decreases with increasing pressure, which causes the R_1-line PS of rubyto monotonously red shift with approximate linearity. The combined effect of the pure electronic PSof R_1 line and the PS of R_1 line due to EPI gives rise to the total PS of R_1 line. The analysesand comparisons among the features of R_1-line PS's of three laser crystals (ruby, GSGG:Cr~(3+) andGGG:Cr~(3+)) have been made, and the origin of their difference has been revealed.

关键词： high-pressure effect electron-phonon interaction R, R′, and B line-groups ground-state zero-field-splitting admixture of | t_2~2(~3T_1)e~4T_2 > and ∣t_2~(32)E > lasercrystal

Energy Spectra of the Tunable Laser Crystal Gd3GasO12:Cr3+ and Their pressure-Induced Shifts

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Communications in Theoretical Physics 2004年第1期 141-150页

作者： MA Dong-Ping~(1,2) 1 Department of Applied Physics,Sichuan University,Chengdu 610065,China 2 International Centre for Materials Physics,Academia Sinica,Shenyang 110015,China

By means of both the theory for pressure-induced shifts（PS）of energy spectra and the theory for shiftsof energy spectra due to electron-phonon interaction（EPI）,at 300K,the‘pure electronic’contributions and the contri-butions from EPI to R1line,R2line,and U band of GGG:Cr3+as well as their PS have been calculated,*** total calculated results are in good agreement with all the experimental *** physical origins have *** is found that the mixing-degree of|t（2～2）(3T1)e4T2〉and|t232E〉base-wavefunctions in the wavefunctions ofR1level of GGG:Cr3+is considerable under normal pressure,and the mixing-degree rapidly decreases with *** change of the mixing-degree with pressure plays a key role for PS of R1line or *** 300K,boththe temperature-independent contribution to R1line（or R2line or U band）from EPI and the temperature-dependentone are *** remarkable difference between pressure-dependent behaviors of PS of R1lines of GGG:Cr3+andGSGG:Cr3+results from the differences of their microscopic *** features of emission spectra of GGG:Cr3+at various pressures have satisfactorily been explained.

关键词： high-pressure effect line shift spin-orbit interaction electron-phonon interaction d-orbital coupling between t22(3T1)e4T2 and t23 2E tunable laser crystal