中国物理B ›› 2011, Vol. 20 ›› Issue (1): 13102-013102.doi: 10.1088/1674-1056/20/1/013102

• ATOMIC AND MOLECULAR PHYSICS • 上一篇    下一篇

Comparative analysis of energy-level splitting of Pr3+ doped in LiYF4 and LiBiF4 crystals: a complete energy matrix calculation

段美玲, 邝小渝, 张彩霞, 柴瑞鹏   

  1. Institute of Atomic and Molecular Physics, Sichuan University, Chengdu 610065, China
  • 收稿日期:2010-01-19 修回日期:2010-02-08 出版日期:2011-01-15 发布日期:2011-01-15
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 10774103 and 10974138).

Comparative analysis of energy-level splitting of Pr3+ doped in LiYF4 and LiBiF4 crystals: a complete energy matrix calculation

Duan Mei-Ling(段美玲), Kuang Xiao-Yu(邝小渝), Zhang Cai-Xia(张彩霞), and Chai Rui-Peng(柴瑞鹏)   

  1. Institute of Atomic and Molecular Physics, Sichuan University, Chengdu 610065, China
  • Received:2010-01-19 Revised:2010-02-08 Online:2011-01-15 Published:2011-01-15
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 10774103 and 10974138).

摘要: Based on the combination of Racah's group-theoretical consideration with Slater's wavefunction, a 91 × 91 complete energy matrix is established in tetragonal ligand field D2d for Pr3+ ion. Thus, the Stark energy-levels of Pr3+ ions doped separately in LiYF4 and LiBiF4 crystals are calculated, and our calculations imply that the complete energy matrix method can be used as an effective tool to calculate the energy-levels of the systems doped by rare earth ions. Besides, the influence of Pr3+ on energy-level splitting is investigated, and the similarities and the differences between the two doped crystals are demonstrated in detail by comparing their several pairs of curves and crystal field strength quantities. We see that the energy splitting patterns are similar and the crystal field interaction of LiYF4:Pr3+ is stronger than that of LiBiF4:Pr3+.

Abstract: Based on the combination of Racah's group-theoretical consideration with Slater's wavefunction, a 91 × 91 complete energy matrix is established in tetragonal ligand field D2d for Pr3+ ion. Thus, the Stark energy-levels of Pr3+ ions doped separately in LiYF4 and LiBiF4 crystals are calculated, and our calculations imply that the complete energy matrix method can be used as an effective tool to calculate the energy-levels of the systems doped by rare earth ions. Besides, the influence of Pr3+ on energy-level splitting is investigated, and the similarities and the differences between the two doped crystals are demonstrated in detail by comparing their several pairs of curves and crystal field strength quantities. We see that the energy splitting patterns are similar and the crystal field interaction of LiYF4:Pr3+ is stronger than that of LiBiF4:Pr3+.

Key words: energy levels splitting, rare earth ions, complete energy matrix

中图分类号:  (Perturbation theory)

  • 31.15.xp
36.20.Kd (Electronic structure and spectra) 78.20.Bh (Theory, models, and numerical simulation)