Bi4Ge3O12:Er3+晶体中的高阶混合效应对EPR g因子的影响

人工晶体学报 ›› 2021, Vol. 50 ›› Issue (3): 447-453.

Bi₄Ge₃O₁₂:Er³⁺晶体中的高阶混合效应对EPR g因子的影响

郝丹辉¹, 柴瑞鹏², 梁良²

1.西安建筑科技大学华清学院物理教研室,西安 710043;
2.西安建筑科技大学理学院,西安 710055

收稿日期:2020-12-16 出版日期:2021-03-15 发布日期:2021-04-15
通讯作者: 柴瑞鹏,博士,讲师。E-mail:chairuipeng2005@163.com
作者简介:郝丹辉(1984—),女,河南省人,硕士,讲师。E-mail:dhhao0527@sina.com
基金资助:
陕西省教育厅自然科学专项基金(18JK025); 陕西省自然科学基础研究基金面上项目(2020JM-476)

High-Order Mixing Effects on EPR g-factors for Er³⁺ Doped Bi₄Ge₃O₁₂ Crystals

HAO Danhui¹, CHAI Ruipeng², LIANG Liang²

1. Department of Physics, Xi'an University of Architecture and Technology Hua Qing College, Xi'an 710043, China;
2. College of Science, Xi'an University of Architecture and Technology, Xi'an 710055, China

Received:2020-12-16 Online:2021-03-15 Published:2021-04-15

摘要/Abstract

摘要： 通过对角化364×364完全能量矩阵的理论方法,对掺杂在Bi₄Ge₃O₁₂晶体中的Er³⁺的Stark能级和EPR参数进行了研究,同时,定量分析了高阶晶体场混合效应和J-J混合效应对EPR g因子的影响。研究结果表明:对Er³⁺来说,最主要的J-J混合效应来源于多重态谱项²K_15/2,其对EPR g因子的贡献约占2.5%,而最主要的高阶晶体场混合效应来源于第一激发多重态⁴I_13/2和基态多重态⁴I_15/2之间的晶体场混合,其对各向异性g因子中g_⊥的贡献大致是g_//的两倍(即g_⊥约占 0.21%,g_//约占0.092%),其他更高阶的晶体场混合和J-J混合效应可以忽略不计。因此,对于Er³⁺掺杂的络合物系统来说,只考虑基态多重态⁴I_15/2对EPR g因子的贡献应该是一个很好的近似。

关键词: Er³⁺, Bi₄Ge₃O₁₂, 晶体场效应, J-J混合效应, EPR g因子

Abstract: Stark levels and EPR parameters of Er³⁺ doped in Bi₄Ge₃O₁₂ crystal were studied by diagonalizing 364×364 complete energy matrices. Simultaneously, the crystal-field and J-J mixing effects on the EPR g-factors from the higher lying manifolds were evaluated, quantitatively. The results indicate that the dominant J-J mixing contribution from manifold ²K_15/2 accounts for about 2.5% for the Er³⁺. However, the most significant high-order mixing effect is from the crystal-field admixture between the first excited manifold ⁴I_13/2 and ground manifold ⁴I_15/2, where the contribution to g_⊥ is almost twice as much as that to g_// (0.21% for g_⊥, 0.092% for g_//).The other crystal-field and J-J mixing effects from the higher lying manifolds can be neglected. Therefore, only considering the contribution of ground manifold ⁴I_15/2 to EPR g-factor is a good approximation for the complex system doped with Er³⁺ ions.

Key words: Er³⁺, Bi₄Ce₃O₁₂, crystal-field effect, J-J mixing effect, EPR g-factor

中图分类号:

O561

郝丹辉, 柴瑞鹏, 梁良. Bi₄Ge₃O₁₂:Er³⁺晶体中的高阶混合效应对EPR g因子的影响[J]. 人工晶体学报, 2021, 50(3): 447-453.

HAO Danhui, CHAI Ruipeng, LIANG Liang. High-Order Mixing Effects on EPR g-factors for Er³⁺ Doped Bi₄Ge₃O₁₂ Crystals[J]. JOURNAL OF SYNTHETIC CRYSTALS, 2021, 50(3): 447-453.

参考文献

[1] VEERANNA GOWDA V C. Effect of Bi³+ ions on physical, thermal, spectroscopic and optical properties of Nd³+ doped sodium diborate glasses[J]. Physica B: Condensed Matter, 2013, 426: 58-64.
[2] RAYMOND S G, TOWNSEND P D.The influence of rare-earth ions on the low-temperature thermoluminescence of Bi₄Ge₃O₁₂[J]. Journal of Physics: Condensed Matter, 2000, 12(9): 2103-2122.
[3] YAWAI N, CHEWPRADITKUL W, WANARAK C, et al.Intrinsic light yield and light loss coefficient of Bi₄Ge₃O₁₂ single crystals[J]. Optical Materials, 2014, 36(12): 2030-2033.
[4] 俞平胜,苏良碧,徐军.掺杂的Bi₄Ge₃O₁₂晶体的近红外发光性能[J].发光学报,2015,36(3):283-287.
YU P S, SU L B, XU J.Near-infrared luminescence in doped Bi₄Ge₃O₁₂ crystals[J]. Chinese Journal of Luminescence, 2015, 36(3): 283-287(in Chinese).
[5] 俞平胜,苏良碧,王庆国,等.红色Bi₄Ge₃O₁₂晶体在低温下的发光性能[J].发光学报,2012,33(8):828-832.
YU P S, SU L B, WANG Q G, et al.Luminescence of red Bi₄Ge₃O₁₂ crystal in low temperature[J]. Chinese Journal of Luminescence, 2012, 33(8): 828-832(in Chinese).
[6] KAMINSKII A A, SARKISOV S E, DENISENKO G A, et al.Growth, spectral and luminescence study of cubic Bi₄Ge₃O₁₂:Pr³+ crystals[J]. Physica Status Solidi (a), 1984, 85(2): 553-567.
[7] KAMINSKII A A, BAGAYEV S N, KRAVTSOV N V, et al.Spectroscopy and CW laser action, magnetooptics and nonlinear optical frequency conversion in Ln³+ doped and undoped Bi₄Ge₃O₁₂ and Bi₄Si₃O₁₂ crystals[J]. Laser Physics, 2001, 11(8): 897-918.
[8] KAMINSKII A A, KRAVTSOV N V, NAUMKIN N I, et al.Polarisation magneto-optical effects in a diode-pumped CW Nd³+:Bi₄Ge₃O₁₂ laser oscillating at 1.06425 and 1.3418 μm[J]. Quantum Electronics, 2000, 30(4): 283-284.
[9] MORRISON C A, LEAVITT R P.Crystal field analysis of Nd³+ and Er³+ in Bi₄Ge₃O₁₂[J]. The Journal of Chemical Physics, 1981, 74(1): 25-28.
[10] BRAVO D, LÓPEZ F J. EPR and crystal-field analysis of Yb³+ions in Bi₄Ge₃O₁₂ single crystals[J]. Physical Review B, 1998, 58(1): 39.
[11] BRAVO D, MARTÍN A, KAMINSKII A A, et al. EPR study of Nd³+ions in Bi₄Ge₃O₁₂ single crystals[J]. Radiation Effects and Defects in Solids, 1995, 135(1/2/3/4): 191-194.
[12] BRAVO D, LÓPEZ F J. An electron paramagnetic resonance study of Er³+ in Bi₄Ge₃O₁₂ single crystals[J]. The Journal of Chemical Physics, 1993, 99(7): 4952-4959.
[13] DE FARIAS S A S, LALIC M V, MARTINS J B L. Electronic and optical properties of BGO:Nd: the role of localized and delocalized f electrons[J]. Chemical Physics Letters, 2013, 578: 76-80.
[14] CHAI R P, HAO D H, KUANG X Y, et al.Theoretical studies of the dependence of EPR parameters on local structure for the tetragonal Er³+ centres in YVO₄ and ScVO₄[J]. Spectrochimica Acta Part A: Molecular and Biomolecular Spectroscopy, 2015, 150: 829-836.
[15] CHAI R P, KUANG X Y, LI C G, et al.Theoretical studies of EPR spectra and defect structure for three Er³+ centers in thorium dioxide[J]. Chemical Physics Letters, 2011, 505(1/2/3): 65-70.
[16] CHAI R P, KUANG X Y, DUAN M L, et al.Theoretical studies of EPR spectra and defect structure for Er³+center in lithium niobate[J]. Spectrochimica Acta Part A, Molecular and Biomolecular Spectroscopy, 2010, 77(1): 253-257.
[17] WU S Y, DONG H N.Investigations on the local structures of Cr³+(3d³) and Nd³+(4f³) ions at the trigonal Bi³+ sites in Bi₄Ge₃O₁₂[J]. Optical Materials, 2006, 28(8/9): 1095-1100.
[18] LI H, KUANG X Y, LI C G, et al.Investigation of the local structure and EPR spectra for Nd³+ in Bi₄Ge₃O₁₂[J]. Chemical Physics Letters, 2013, 557: 182-185.
[19] LORO H, VASQUEZ D, CAMARILLO G E, et al.Experimental study and crystal-field modeling of Nd³+(4f³)energy levels in Bi₄Ge₃O₁₂andBi₄Si₃O₁₂[J]. Physical Review B, 2007, 75(12): 125405.
[20] KUMAR G A, RIMAN R E, KAMINSKII A A, et al.Optical properties of single crystal Nd³+-doped Bi₄Ge₃O₁₂: laser transitions at room and low temperature[J]. Physical Review B, 2006, 74: 014306.
[21] DONG H N, WANG J, SHUAI X, et al.Theoretical investigation of the EPR parameters and local structure for trigonal Yb³+ ion in Bi₄Ge₃O₁₂ crystal[J]. Spectrochimica Acta Part A: Molecular and Biomolecular Spectroscopy, 2008, 70(1): 7-10.
[22] WU S Y, DONGB H N.Theoretical investigations of the spin Hamiltonian parameters and the local structure of a trigonal Co²+ center in Bi₄Ge₃O₁₂[J]. Zeitschrift Für Naturforschung A, 2004, 59(9): 563-567.
[23] LIU H G, ZHENG W C.Theoretical investigations of the optical and EPR spectra for trivalent cerium and ytterbium ions in orthorhombic YF₃ crystal[J]. Physica B: Condensed Matter, 2016, 496: 15-19.
[24] CARNALL W T, GOODMAN G L, RAJNAK K, et al.A systematic analysis of the spectra of the lanthanides doped into single crystal LaF₃[J]. The Journal of Chemical Physics, 1989, 90(7): 3443-3457.
[25] RUKMINI E, JAYASANKAR C K.Comparative crystal free-ion energy level analysis of Nd³+ (4f³) ions in various oxygen co-ordinated systems[J]. Physica B: Condensed Matter, 1995, 212(2): 167-174.
[26] RUKMINI E, RENUKA DEVI A, JAYASANKAR C K.Crystal free-ion energy level analysis of Er³+ (4f¹¹) in various crystal hosts-oxygen coordinated systems[J]. Physica B: Condensed Matter, 1994, 193(2): 166-176.
[27] NEWMAN D J, NG B.The superposition model of crystal fields[J]. Reports on Progress in Physics, 1989, 52(6): 699-762.
[28] NEWMAN D J, NG B.Crystal Field Handbook: Crystal field splitting mechanisms[M]. Cambridge: Cambridge University Press, 2000: 6-43.
[29] WYBOURNE B G.Spectroscopic properties of rare earths[M]. New York: John Wiley & Sons, Inc., 1965.
[30] JUDD B R.Operator techniques in atomic spectroscopy[M]. New York: Princeton University Press, 1998.
[31] FISCHER P, WALDNER F.Comparison of neutron diffraction and EPR results on the cubic crystal structures of piezoelectric Bi₄Y₃O₁₂(Y=Ge, Si)[J]. Solid State Communications, 1982, 44(5): 657-661.
[32] ABRAGAM A, BLEANEY B.Electron paramagnetic resonance of transition ions[M]. New York: Dover Publications, Inc., 1986: 277-341.
[33] HÜFNER S. Rare earth lasers[M]//Optical Spectra of Transparent Rare Earth Compounds. Amsterdam: Elsevier, 1978: 208-215.
[34] LIU G K.Electronic energy level structure[M]//Spectroscopic Properties of Rare Earths in Optical Materials. Berlin, Heidelberg: Springer Berlin Heidelberg, 2005: 1-94.
[35] HUTCHINGS M T, RAY D K.Investigation into the origin of crystalline electric field effects on rare earth Ions: I. contribution from neighbouring induced moments[J].Proc. Phys. Soc., 1963, 81(4): 66.

Bi₄Ge₃O₁₂:Er³⁺晶体中的高阶混合效应对EPR g因子的影响

High-Order Mixing Effects on EPR g-factors for Er³⁺ Doped Bi₄Ge₃O₁₂ Crystals

PDF (PC)

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 1

编辑推荐

Metrics

本文评价