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Based on the two spin orbit coupling parameter model and the complete energy matrices for a d3 configuration ion in a trigonal ligand field, the local structure and the ground-state splitting of Cr3+ ion in Cs2NaMF6(M=Al, Ga):Cr3+ systems have been studied. By simulating the EPR parameter D and the optical spectra, the distorted angles of two inequivalent sites formed by Cr3+ replacing M3+ are determined and the obvious difference of the distorted angles Δθ calculated by using two spin orbit coupling parameter model and single spin orbit coupling parameter model is found. Our results indicate that the influence of ligand F- can not be ignored with respect to spin orbit coupling mechanism when the energy level fine structure and local structure distortion of fluoride complex molecules are studied. Meanwhile, the dependence of EPR parameter D on angle θ, average parameter ζ1 and divergent parameter ζ2 is discussed, respectively.
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Keywords:
- Cs2NaMF6 (M=Al /
- Ga):Cr3+ systems /
- two spin orbit coupling parameter model /
- complete energy matrix
[1] Vrielinck H, Loncke F, Callens F, Matthys P 2004 Phys. Rev. B 70 144111
[2] Agate B, Rafailov E U, Sibbett W, Saltiel S M, Battle P, Fry T, Noonan E 2003 Opt. Lett. 28 1963
[3] Keller U 2003 Nature 424 831
[4] Sosman L P, Tavares Jr A D, Da Fonseca R J M, Abritta T, Khaidukov N M 2000 Solid State Commun. 114 661
[5] Da Fonseca R J M, Tavares Jr A D, Silva P S, Abritta T, Khaidukov N M 1999 Solid State Commun. 110 519
[6] Fargin E, Lestienne B, Dance J M 1990 Solid State Commun. 75 769
[7] Vrielinck H, Khaidukov N M, Callens F, Matthys P 2002 Radiat. Eff. Defects Solids 157 1155
[8] Pueyo L, Richardson J W 1977 J. Chem. Phys. 67 3583
[9] Knox K 1960 Acta Cryst. 13 507
[10] Bordallo H N, Wang X, Hanif K M, Strouse G F, Da Fonseca R J M, Sosman L P, Tavares Jr A D, 2002 J. Phys.: Condens. Matter 14 12383
[11] Babel D, Haegele R, Pausewang G, Wall F 1973 Mater. Res. Bull. 8 1371
[12] Sugano S, Tanabe Y, Kamimura H 1970 Multiplets of Transition Metal Ions in Crystals (New York: Academic)
[13] Curie D, Barthon C, B Canny 1974 J. Chem. Phys. 61 3048
[14] Zhao M G, Xu J A, Bai G R , Xie H S 1983 Phys. Rev. B 27 1516
[15] Du M L, Rudowicz C 1992 Phys. Rev. B 46 8974
[16] Griffith J S 1964 Theory of Transition-Metal Ions (London: Cambridge University press)
[17] Slater J C 1960 Quantum Theory of Atomic Structure (New York: McGraw-Hill)
[18] Newman D J, Urban W 1975 Adv. Phys. 24 793
[19] Li F Z, Zhou Y Y 1998 Acta Phys. Sin. 47 472 (in Chinese) [李福珍、周一阳1998 47 472]
[20] Abragam A, Bleaney B 1970 Electron Paramagnetic Resonance of Transition Ions (New York: Oxford University Press)
[21] Bordallo H N, Henning R W, Sosman L P, Da Fonseca R J M, Tavares Jr A D, Hanif K M, Strouse G F 2001 J. Chem. Phys. 115 4300
[22] Zheng W C 1995 Phys. B 215 255
[23] Li Z M, Shuen W L 1996 J. Phys. Chem. Solids 57 1673
[24] Cao X Z, Song T Y, Wang X Q 1997 Inorganic Chemistry (Beijing: HigherEducation Press) (in Chinese) [曹锡章、宋天佑、王杏乔1997 无机化学(北京:高等教育出版社)]
[25] Clementi E, Raimondi D L 1963 J. Chem. Phys. 38 2686
[26] Clementi E, Raimondi D L, Reinhardt W P 1967 J. Chem. Phys. 47 1300
[27] Huang J L, Kuang X Y, Li Y 2008 Chem. Phys. Lett. 458 227
[28] Wei Q, Yang Z Y, Wang C J, Xu Q M 2007 Acta Phys. Sin. 56 507 (in Chinese) [魏 群、杨子元、王参军、许启明1997 56 507]
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[1] Vrielinck H, Loncke F, Callens F, Matthys P 2004 Phys. Rev. B 70 144111
[2] Agate B, Rafailov E U, Sibbett W, Saltiel S M, Battle P, Fry T, Noonan E 2003 Opt. Lett. 28 1963
[3] Keller U 2003 Nature 424 831
[4] Sosman L P, Tavares Jr A D, Da Fonseca R J M, Abritta T, Khaidukov N M 2000 Solid State Commun. 114 661
[5] Da Fonseca R J M, Tavares Jr A D, Silva P S, Abritta T, Khaidukov N M 1999 Solid State Commun. 110 519
[6] Fargin E, Lestienne B, Dance J M 1990 Solid State Commun. 75 769
[7] Vrielinck H, Khaidukov N M, Callens F, Matthys P 2002 Radiat. Eff. Defects Solids 157 1155
[8] Pueyo L, Richardson J W 1977 J. Chem. Phys. 67 3583
[9] Knox K 1960 Acta Cryst. 13 507
[10] Bordallo H N, Wang X, Hanif K M, Strouse G F, Da Fonseca R J M, Sosman L P, Tavares Jr A D, 2002 J. Phys.: Condens. Matter 14 12383
[11] Babel D, Haegele R, Pausewang G, Wall F 1973 Mater. Res. Bull. 8 1371
[12] Sugano S, Tanabe Y, Kamimura H 1970 Multiplets of Transition Metal Ions in Crystals (New York: Academic)
[13] Curie D, Barthon C, B Canny 1974 J. Chem. Phys. 61 3048
[14] Zhao M G, Xu J A, Bai G R , Xie H S 1983 Phys. Rev. B 27 1516
[15] Du M L, Rudowicz C 1992 Phys. Rev. B 46 8974
[16] Griffith J S 1964 Theory of Transition-Metal Ions (London: Cambridge University press)
[17] Slater J C 1960 Quantum Theory of Atomic Structure (New York: McGraw-Hill)
[18] Newman D J, Urban W 1975 Adv. Phys. 24 793
[19] Li F Z, Zhou Y Y 1998 Acta Phys. Sin. 47 472 (in Chinese) [李福珍、周一阳1998 47 472]
[20] Abragam A, Bleaney B 1970 Electron Paramagnetic Resonance of Transition Ions (New York: Oxford University Press)
[21] Bordallo H N, Henning R W, Sosman L P, Da Fonseca R J M, Tavares Jr A D, Hanif K M, Strouse G F 2001 J. Chem. Phys. 115 4300
[22] Zheng W C 1995 Phys. B 215 255
[23] Li Z M, Shuen W L 1996 J. Phys. Chem. Solids 57 1673
[24] Cao X Z, Song T Y, Wang X Q 1997 Inorganic Chemistry (Beijing: HigherEducation Press) (in Chinese) [曹锡章、宋天佑、王杏乔1997 无机化学(北京:高等教育出版社)]
[25] Clementi E, Raimondi D L 1963 J. Chem. Phys. 38 2686
[26] Clementi E, Raimondi D L, Reinhardt W P 1967 J. Chem. Phys. 47 1300
[27] Huang J L, Kuang X Y, Li Y 2008 Chem. Phys. Lett. 458 227
[28] Wei Q, Yang Z Y, Wang C J, Xu Q M 2007 Acta Phys. Sin. 56 507 (in Chinese) [魏 群、杨子元、王参军、许启明1997 56 507]
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