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

doi:10.1088/1674-1056/20/1/013102

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

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)

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/Abstract

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 D_2d 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 D_2d 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)

段美玲, 邝小渝, 张彩霞, 柴瑞鹏. Comparative analysis of energy-level splitting of Pr³⁺ doped in LiYF₄ and LiBiF₄ crystals: a complete energy matrix calculation[J]. 中国物理B, 2011, 20(1): 13102-013102.

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). Comparative analysis of energy-level splitting of Pr³⁺ doped in LiYF₄ and LiBiF₄ crystals: a complete energy matrix calculation[J]. Chin. Phys. B, 2011, 20(1): 13102-013102.

参考文献 32

[1]	Liu F, Zhang J H, L"u S Z and Wang X J 2006 Acta Phys. Sin. 55 6020 (in Chinese)
[2]	Li P L, Wang Z J, Wang Y, Yang Z P, Guo Q L, Li X, Yang Y M and Fu G S 2009 Acta Phys. Sin. 58 5831 (in Chinese)
[3]	Ma C G, Jiang S, Duan C K, Yin M and Xia S D 2009 Chin. Phys. B 18 1961
[4]	Yang H G, Dai Z W and Zu N N 2007 Chin. Phys. 16 1650
[5]	Wells J P R, Sugiyama A, Han T P J and Gallagher H G 2000 J. Lumin. 87--89 1029
[6]	Rogin P, Huber G and Hulliger J 1999 J. Cryst. Growth 198/199 564
[7]	Dong H N, Zheng W C, Wu S Y and Tang S 2004 Spectrochim. Acta A 60 489
[8]	Combes C M, Dorenbos P, van Eijk C W E, Pedrini C, Den Hartog H W, Gesland J Y and Rodnyi P A 1997 J. Lumin. 71 65
[9]	Yin J G, Zhang Q R, Liu T Y, Guo X F, Song M, Wang X and Zhang H Y 2009 Physica B 404 1053
[10]	Rogin P and Hulliger J 1997 J. Cryst. Growth 179 551
[11]	Khiari S, Velazquez M, Moncorg'e R, Doualan J L, Camy P, Ferrier A and Diaf M 2008 J. Alloys Compd. 451 128
[12]	Yin J G, Zhang Q R, Liu T Y, Guo X F, Song M, Wang X and Zhang H Y 2009 Nuclear Instruments and Methods in Physics Research B 267 74
[13]	Malkin B Z, Vanyunin M V, Graf M J, Lago J, Borsa F, Lascialfari A, Tkachuk A M and Barbara B 2008 Eur. Phys. J. B 66 155
[14]	Braud A, Girard S, Doualan J L, Thuau M and Moncorg'e R 2000-II Phys. Rev. B 61 5280
[15]	Wells J P R, Yamaga M, Han T P J, Gallagher H G and Honda M 1999-II Phys. Rev. B 60 3849
[16]	Doneg'a C de M, Meijerink A and Blasee G 1995 J. Phys. Chem. Solids 56 673
[17]	Tsuboi T, Murayama H and Shimamura K 2006 J. Alloys Compd. 408--412 776
[18]	Tigreat P Y, Doualan J L, Budasca C and Moncorge R 2001 J. Lumin 94--95 23
[19]	Louis M, Hubert S, Simoni E and Gesland J Y 1996 Opt. Mat. 6 121
[20]	K"uck S and Sok'Olska I 2000 Chem. Phys. Lett. 325 257
[21]	Esterowitz L, Bartoli F J, Allen R E, Wortman D E, Morrison C A and Leavitt R P 1979 Phys. Rev. B 19 6442
[22]	Schultheiss E, Scharmann A and Schwabe D 1987 Phys. Stat. Sol. B 140 173
[23]	Burdick G W and Richardson F S 1998 Chem. Phys. 228 81
[24]	Ogasawara K, Watanabe S, Toyoshima H, Ishii T, Brik M G, Ikeno H and Tanaka I 2005 J. Solid State Chem. 178 412
[25]	Racah G 1942 Phys. Rev. 61 186
[26]	Racah G 1942 Phys. Rev. 62 438
[27]	Racah G 1943 Phys. Rev. 63 367
[28]	Racah G 1949 Phys. Rev. 76 1352
[29]	Slater J C 1960 Quantum Theory of Atomic Structure, Vol. 2 (USA: Mcgraw-Hill Book Company, Inc.)
[30]	Newman D J and Betty Ng 2000 Crystal Field Handbook (UK: Cambridge University Press)
[31]	Budd B R 1963 Operator Techniques in Atomic Spectroscopy (New York: Mcgraw-Hill Book Company, Inc.)
[32]	Rajnak K and Wybourne B G 1963 Phys. Rev. 132 280 endfootnotesize

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

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

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