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Theoretical investigation on the spin-Hamiltonian parameters for Gd3+-doped molybdates AMoO4 (A=Ca, Sr, Ba, Pb)

Yang Wei-Qing Zhang Yin Gao Min Lin Yuan Zhao Xiao-Yun

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Theoretical investigation on the spin-Hamiltonian parameters for Gd3+-doped molybdates AMoO4 (A=Ca, Sr, Ba, Pb)

Yang Wei-Qing, Zhang Yin, Gao Min, Lin Yuan, Zhao Xiao-Yun
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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.
    • Funds: Project supported by the National Nature Science Foundation of China (Grant Nos. 11028409, 51202023), the China Postdoctoral Science Foundation, China (Grant No. 2012M511917), and the Scientific Research Foundation of Chengdu University of Information Technology, China (Grant No. KYTZ201208).
    [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 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 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

  • [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 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 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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Publishing process
  • Received Date:  20 July 2012
  • Accepted Date:  20 September 2012
  • Published Online:  05 February 2013

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