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In this paper the spin-Hamiltonian parameters, g factors g//, g⊥ and zero-field splittings b20, b40, b44, b60, b64, for Gd3+ ion in molybdates AMoO4 (A=Ca, Sr, Ba, Pb) are calculated by a diagonalization (of energy matrix) method based on one-electron crystal field mechanism. The crystal field parameters in the matrix are calculated from the superposition model. The results indicate that seven calculated spin-Hamiltonian parameters are in good agreement with the experimental values by using only three reasonable adjustable parameters (i.e., the intrinsic parameters Ak (R0), where k=2, 4, 6, in the superposition model). It is shown that the diagonalization method can be used to calculate and explain the spin-Hamiltonian parameters of Gd3+ ion in crystals. The results are discussed.
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Keywords:
- AMoO4 (A=Ca,Sr,Ba,Pb): Gd3+ crystal /
- spin-Hamiltonian parameters /
- crystal-field theory /
- diagonalization method
[1] Han Y F, Li J Z, Chen Z Q, Lin L, Li B, Wang G F 2009 J. Synth. Cryst. 38 190 (in Chinese) [韩永飞, 李景照, 陈振强, 林浪, 李兵, 王国富 2009 人工晶体学报 38 190]
[2] Chung J H, Ryu J H, Eun J W, Lee J H, Lee S Y, Heo T H, Chol B G, Shim K B 2012 J. Alloys Comp. 522 30
[3] Cao X Q, Wei T, Chen Y H, Yin M, Guo C X, Zhang W P 2011 J. Rare Earths 29 1029
[4] Tang H X, Lü S C 2011 Acta Phys. Sin. 60 037805 (in Chinese) [唐红霞, 吕树臣 2011 物理学报 60 037805]
[5] Sun J Y, Cao C, Du H Y 2011 Acta Phys. Sin. 60 127801 (in Chinese) [孙家跃, 曹纯, 杜海燕 2011 物理学报 60 127801]
[6] Yang W Q, Liu H G, Liu G K, Lin Y, Gao M, Zhao X Y, Zheng W C, Chen Y, Xu J, Li L Z 2012 Acta Mater. 60 5399
[7] Gavalli E, Angiuli F, Boutinaud P, Mahiou R 2012 J. Solid State Chem. 185 136
[8] Trabelsi I, Dammak M, Maalej R, Kammoun M 2011 Physica B 406 315
[9] Wishwamittar, Puri S P 1974 J. Chem. Phys. 61 3720
[10] Kurkin I N, Tsvetkov E A 1970 Sov. Phys. Solid State 11 3027
[11] Rosa J, Asatryan H R, Nikl M 1996 Phys. Status Solidi A 158 573
[12] Meilman M L, Slovev N V 1965 Sov. Phys. Solid State 7 2512
[13] Kurkin I N, Stepanov V G 1965 Sov. Phys. Solid State 7 223
[14] Meilman M L, Samoilovich M I, Potkin L I, Sergeeva N I 1967 Sov. Phys. Solid State 8 1864
[15] Kurkin T N, Shekun L Y 1965 Sov. Phys. Solid State 6 1560
[16] Newman D J, Urban W 1975 Adv. Phys. 24 793
[17] Wybourne B G 1966 Phys. Rev. 148 317
[18] Newman D J, Ng B 1989 Rep. Prog. Phys. 52 699
[19] Siu G G, Newman D J 1982 J. Phys. C: Solid State Phys. 15 6753
[20] Newman D J, Ng Betty 2000 Crystal Field Handbook (Cambridge: Cambridge University Press) p83
[21] Chen X Y, Luo Z D 1999 Chin. Phys. 8 607
[22] Zheng W C, Yang W Q, Liu H G 2011 Phil. Mag. 91 4045
[23] Yang W Q, Zheng W C 2011 Spectrochim. Acta A 79 1291
[24] Yang W Q, Lin Y, Zheng W C, Zhao X Y 2012 Supercond. Sci. Technol. 25 065011
[25] Garmen E, Daniels E, King J S 1971 J. Chem. Phys. 55 1093
[26] Nassif V, Carbonio R E 1999 J. Solid State Chem. 146 266
[27] Buckmaster H A, Shing Y H 1972 Phys. Status Solidi A 12 325
[28] Gschneidner K A, Eyring J L 1996 Handbook of the Physics and Chemistry of Rare Earths (Vol. 23) (Amsterdam: Elsevier) p155
[29] Abragam A, Bleaney B 1970 Electron Paramagnetic Resonance of Transition Ions (London: Oxford University Press) p18, 277
[30] Zhang S Y 2008 Spectroscopy of Rare Earth Ions (Beijing: Science Press) (in Chinese) [张思远 2008 稀土离子光谱学(北京: 科学出版社)]
[31] Bravo D, Lepez F J 1993 J. Chem. Phys. 99 4952
[32] Brito H F, Liu G K 2000 J. Chem. Phys. 112 4334
[33] Hutchison C A, Judd B R, Pope D F D 1959 Proc. Phys. Soc. B 70 514
[34] Magnani N, Amoretti G, Baraldi A, Capelletti R 2002 Eur. Phys. J. B 29 79
[35] Magnani N, Amoretti G, Baraldi A, Capelletti R 2002 Radiat. Eff. Defect. Solids 157 921
[36] Lide D R 2003 CRC Handbook of Chemistry and Physics (84th) (Boca Raton: CRC Press) pp12-14
[37] Zheng W C 1995 Physica B 215 255
[38] Newman D J 1977 Aust. J. Phys. 30 315
[39] Liu H G, Zheng W C, Feng W L 2008 Phil. Mag. 88 3075
[40] Yang W Q, Zheng W C 2011 Spectrochim. Acta A 79 1291
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[1] Han Y F, Li J Z, Chen Z Q, Lin L, Li B, Wang G F 2009 J. Synth. Cryst. 38 190 (in Chinese) [韩永飞, 李景照, 陈振强, 林浪, 李兵, 王国富 2009 人工晶体学报 38 190]
[2] Chung J H, Ryu J H, Eun J W, Lee J H, Lee S Y, Heo T H, Chol B G, Shim K B 2012 J. Alloys Comp. 522 30
[3] Cao X Q, Wei T, Chen Y H, Yin M, Guo C X, Zhang W P 2011 J. Rare Earths 29 1029
[4] Tang H X, Lü S C 2011 Acta Phys. Sin. 60 037805 (in Chinese) [唐红霞, 吕树臣 2011 物理学报 60 037805]
[5] Sun J Y, Cao C, Du H Y 2011 Acta Phys. Sin. 60 127801 (in Chinese) [孙家跃, 曹纯, 杜海燕 2011 物理学报 60 127801]
[6] Yang W Q, Liu H G, Liu G K, Lin Y, Gao M, Zhao X Y, Zheng W C, Chen Y, Xu J, Li L Z 2012 Acta Mater. 60 5399
[7] Gavalli E, Angiuli F, Boutinaud P, Mahiou R 2012 J. Solid State Chem. 185 136
[8] Trabelsi I, Dammak M, Maalej R, Kammoun M 2011 Physica B 406 315
[9] Wishwamittar, Puri S P 1974 J. Chem. Phys. 61 3720
[10] Kurkin I N, Tsvetkov E A 1970 Sov. Phys. Solid State 11 3027
[11] Rosa J, Asatryan H R, Nikl M 1996 Phys. Status Solidi A 158 573
[12] Meilman M L, Slovev N V 1965 Sov. Phys. Solid State 7 2512
[13] Kurkin I N, Stepanov V G 1965 Sov. Phys. Solid State 7 223
[14] Meilman M L, Samoilovich M I, Potkin L I, Sergeeva N I 1967 Sov. Phys. Solid State 8 1864
[15] Kurkin T N, Shekun L Y 1965 Sov. Phys. Solid State 6 1560
[16] Newman D J, Urban W 1975 Adv. Phys. 24 793
[17] Wybourne B G 1966 Phys. Rev. 148 317
[18] Newman D J, Ng B 1989 Rep. Prog. Phys. 52 699
[19] Siu G G, Newman D J 1982 J. Phys. C: Solid State Phys. 15 6753
[20] Newman D J, Ng Betty 2000 Crystal Field Handbook (Cambridge: Cambridge University Press) p83
[21] Chen X Y, Luo Z D 1999 Chin. Phys. 8 607
[22] Zheng W C, Yang W Q, Liu H G 2011 Phil. Mag. 91 4045
[23] Yang W Q, Zheng W C 2011 Spectrochim. Acta A 79 1291
[24] Yang W Q, Lin Y, Zheng W C, Zhao X Y 2012 Supercond. Sci. Technol. 25 065011
[25] Garmen E, Daniels E, King J S 1971 J. Chem. Phys. 55 1093
[26] Nassif V, Carbonio R E 1999 J. Solid State Chem. 146 266
[27] Buckmaster H A, Shing Y H 1972 Phys. Status Solidi A 12 325
[28] Gschneidner K A, Eyring J L 1996 Handbook of the Physics and Chemistry of Rare Earths (Vol. 23) (Amsterdam: Elsevier) p155
[29] Abragam A, Bleaney B 1970 Electron Paramagnetic Resonance of Transition Ions (London: Oxford University Press) p18, 277
[30] Zhang S Y 2008 Spectroscopy of Rare Earth Ions (Beijing: Science Press) (in Chinese) [张思远 2008 稀土离子光谱学(北京: 科学出版社)]
[31] Bravo D, Lepez F J 1993 J. Chem. Phys. 99 4952
[32] Brito H F, Liu G K 2000 J. Chem. Phys. 112 4334
[33] Hutchison C A, Judd B R, Pope D F D 1959 Proc. Phys. Soc. B 70 514
[34] Magnani N, Amoretti G, Baraldi A, Capelletti R 2002 Eur. Phys. J. B 29 79
[35] Magnani N, Amoretti G, Baraldi A, Capelletti R 2002 Radiat. Eff. Defect. Solids 157 921
[36] Lide D R 2003 CRC Handbook of Chemistry and Physics (84th) (Boca Raton: CRC Press) pp12-14
[37] Zheng W C 1995 Physica B 215 255
[38] Newman D J 1977 Aust. J. Phys. 30 315
[39] Liu H G, Zheng W C, Feng W L 2008 Phil. Mag. 88 3075
[40] Yang W Q, Zheng W C 2011 Spectrochim. Acta A 79 1291
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