| Microscopic theory of pressure effects on the energy spectra of the tunable laser crystal Gd3Sc2Ga3O12 : Cr3+ |
| D. P. Ma; J. P. Zhang
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| 2003
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发表期刊 | Physical Review B
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ISSN | 1098-0121
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卷号 | 68期号:5 |
摘要 | In this work, 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 and optical branches have been derived. The former results from the interaction between the zero-point vibration of the lattice and the localized electronic state. By means of both the theory for pressure-induced shifts (PS's) of energy spectra and the theory for shifts of energy spectra due to EPI, the "pure electronic" PS's and the PS's due to EPI of the R-1 line, the R-2 line, and the U band of GSGG:Cr3+ have been calculated, respectively. The total calculated results are in good agreement with all the experimental data. The calculated results of normal-pressure energy spectra, g(parallel to)(R-1) and g(perpendicular to)(R-1) for GSGG:Cr3+ are also in good agreement with experiments. Their physical origins have been explained. It is found that the mixing degree of \t(2)(2)(T-3(1))e(4)T(2)> and \t(2)(3) E-2> base wave functions in the wave functions of R-1 level of GSGG:Cr3+ 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 for not only the pure electronic PS's of the R-1 line and the R-2 line, but also the PS's of the R-1 line and the R-2 line due to EPI. The pressure-dependent behavior of the pure electronic PS of the R-1 line (or the R-2 line) is quite different from that of the PS of the R-1 line (or the R-2 line) due to EPI. It is the combined effect of them that gives rise to the total PS of the R-1 line (or the R-2 line). At 300 K and in the range of about 15-45 kbar, the mergence and/or order reversal between t(2)(2)(T-3(1))e(4)T(2) levels and t(2)(3) T-2(1) levels takes place, which causes the fluctuation of the rate of PS for t(2)(2)(T-3(1))e(4)T(2) (or t(2)(3) T-2(1)) with pressure. At 300 K, both the temperature-independent contribution to the R-1 line (or the R-2 line or the U band) from EPI and the temperature-dependent one are important, however, the temperature-independent contribution is much larger than the temperature-dependent one at 70 K. |
部门归属 | sichuan univ, dept appl phys, chengdu 610065, peoples r china. acad sinica, int ctr mat phys, shenyang 110015, peoples r china.;ma, dp (reprint author), sichuan univ, dept appl phys, chengdu 610065, peoples r china
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关键词 | Line Thermal-shift
Theoretical Calculations
Temperature-dependence
Garnet Crystals
Excited State
Ground-state
Cr3++ Ions
R-lines
Ruby
Cr-3++
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URL | 查看原文
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WOS记录号 | WOS:000185240100037
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引用统计 |
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文献类型 | 期刊论文
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条目标识符 | http://ir.imr.ac.cn/handle/321006/35955
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专题 | 中国科学院金属研究所
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推荐引用方式 GB/T 7714 |
D. P. Ma,J. P. Zhang. Microscopic theory of pressure effects on the energy spectra of the tunable laser crystal Gd3Sc2Ga3O12 : Cr3+[J]. Physical Review B,2003,68(5).
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APA |
D. P. Ma,&J. P. Zhang.(2003).Microscopic theory of pressure effects on the energy spectra of the tunable laser crystal Gd3Sc2Ga3O12 : Cr3+.Physical Review B,68(5).
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MLA |
D. P. Ma,et al."Microscopic theory of pressure effects on the energy spectra of the tunable laser crystal Gd3Sc2Ga3O12 : Cr3+".Physical Review B 68.5(2003).
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