Orthorhombic standardization of spin-Hamiltonian parameters for transition-metal centres in various crystals

Several sets of non-standard zero-field splitting (ZFS) parameters in the spin Hamiltonian (SH) for transition-metal ions at orthorhombic or lower symmetry sites in various crystals have been revealed by a recent literature survey. The standardization limits the ratio of the orthorhombic ZFS parameters: (conventional) and (the extended Stevens (ES) notation). Based on the superposition model it is shown that the `maximum rhombicity' limit is valid not only in the effective SH sense but also in the crystallographic sense. Using the computer package CST the non-standard orthorhombic ZFS parameter sets given originally in various parameter and operator notations, units and conventions for the axis systems are standardized and presented in a unified way in the ES notation and units of . This enables a direct comparison with the available data for similar ion/host systems. The standardization reveals several inconsistencies in interpretation of earlier EPR results.

[1]  K. Stevens Magnetic Ions in Crystals , 1997 .

[2]  K. Han,et al.  A theoretical analysis of zero-field splitting of in sodium nitrite , 1996 .

[3]  A. Véron,et al.  Phenanthrene probe behaviour in incommensurate phases II and III of biphenyl , 1996 .

[4]  K. Kawano,et al.  ESR studies of Mn2+Ba2+ Centres in Ca1 − xBaxF2:Mn , 1995 .

[5]  Z. Wen-chen INVESTIGATION OF THE ZERO-FIELD SPLITTINGS FOR MN2+ ION IN MGF2 CRYSTAL FROM THE SUPERPOSITION MODEL AND THE SPIN-ORBIT MECHANISM , 1993 .

[6]  H. Inoue,et al.  ESR studies of Mn2+ centres in Sr1−xBaxF2:Mn crystals , 1993 .

[7]  Yu Wan-Lun,et al.  Crystal field analysis for 3d4 and 3d6 ions with an orbital singlet ground state at orthorhombic and tetragonal symmetry sites , 1992 .

[8]  Anju,et al.  Electron paramagnetic resonance of Mn2+ in Tl2Mg(SeO4)2.6H2O single crystals , 1992 .

[9]  R. Pandey,et al.  EPR of Mn2+-Doped Tutton Salts. Role of Hydrogen Bonding , 1992 .

[10]  J. Rao,et al.  Electron paramagnetic resonance and optical absorption spectra of Mn2+ in magnesium malate pentahydrate (MMPH) single crystals , 1992 .

[11]  C. Rudowicz Correlations between orthorhombic crystal field parameters for rare-earth (f n ) and transition-metal (d n ) ions in crystals: REBa2Cu3O7-x , RE2F14B, RE-garnets, RE:LaF3 and MnF2 , 1991 .

[12]  A. Scharmann,et al.  EPR and optical absorption of manganese doped BaF2 and SrF2 , 1991 .

[13]  I. Geifman,et al.  Temperature dependence of Mn2+ EPR in Sn2P2S6 near the phase transition , 1991 .

[14]  T. Yosida,et al.  EPR, 19F-ENDOR and 55Mn-ENDOR of Mn2+ Impurity Center in MgF2 Single Crystal , 1991 .

[15]  E. Bill,et al.  Iron-containing proteins and related analogs — complementary Mössbauer, EPR and magnetic susceptibility studies , 1991 .

[16]  G. Lehmann,et al.  Electron Paramagnetic Resonance of Mn2+ in Orthorhombic and Higher Symmetry Crystals , 1990 .

[17]  J. Rao,et al.  Epr studies of divalent manganese ions in magnesium maleate dihydrate single crystals , 1989 .

[18]  D. Newman,et al.  The superposition model of crystal fields , 1989 .

[19]  K. Such,et al.  Local relaxations around Fe3+ and Cr3+ in Al sites in minerals , 1987 .

[20]  R. Weber,et al.  An EPR study of the luminescent triplet state of VO3−4 in YVO4 and YP0.96V0.04O4 single crystals at 1.2 K , 1987 .

[21]  Misra,et al.  EPR of Mn2+ in the Tutton salts M(NH4)2(SO4)2 , 1987, Physical review. B, Condensed matter.

[22]  J. H. Waals,et al.  The photo-excited triplet state of CaMoO4 , 1986 .

[23]  Misra,et al.  EPR of Mn2+ in Fe(NH4)2(SO4)2 , 1986, Physical review. B, Condensed matter.

[24]  C. Rudowicz On standardization and algebraic symmetry of the ligand field Hamiltonian for rare earth ions at monoclinic symmetry sites , 1986 .

[25]  Yu Wan-Lun,et al.  Determination of the MnF2 and ZnF2 crystal structure from the EPR and optical measurements of Mn2 , 1985 .

[26]  C. Rudowicz,et al.  On standardization of the spin Hamiltonian and the ligand field Hamiltonian for orthorhombic symmetry , 1985 .

[27]  J. Tol,et al.  The metastable triplet states of K2Cr2O7 and YVO4 at 1.2 K: Zero-field splitting and lifetimes of the spin components , 1985 .

[28]  G. Lehmann,et al.  EPR and luminescence of Mn2+ in MgF2 single crystals , 1985 .

[29]  C. Rudowicz Relations between arbitrary symmetry spin-Hamiltonian parameters Bkq and bkq in various axis systems , 1985 .

[30]  C. Rudowicz,et al.  Transformation relations for the conventional Okq and normalised O'kq Stevens operator equivalents with k=1 to 6 and -k⩽q⩽k , 1985 .

[31]  G. Lehmann,et al.  Experimental and Theoretical Investigations of the Second-Order Zero Field Splitting Parameters of Mn(II) with Cl− as Ligand , 1984 .

[32]  R. Bramley,et al.  Zero-field EPR of Mn2+ in tutton salts , 1984 .

[33]  H. W. Hartog,et al.  Zero-field splitting of the 4 f 7 state: An electrostatic theory for Gd 3 + - M + complexes in Ca F 2 , 1980 .

[34]  D. Griscom Electron spin resonance in glasses , 1980 .

[35]  J. Pilbrow,et al.  Low-symmetry effects in electron paramagnetic resonance , 1980 .

[36]  R. M. Golding,et al.  An analysis of the conditions for an isotropic g-tensor in high-spin d5 systems , 1977 .

[37]  E. König,et al.  Zero‐field splitting of 6S(d5) ions in tetragonal and rhombic symmetry: I. Complete d‐electron calculation of the crystal‐field dependence of D and E , 1976 .

[38]  H. Denhartog,et al.  SPLITTING OF S-6(5-2) STATE OF SUBSTITUTIONAL MN-2+ IN SRCL-2 BY AN APPLIED ELECTRIC-FIELD , 1976 .

[39]  H. W. Hartog,et al.  EPR studies of Gd 3+ -metal-ion complexes in SrCl 2 , 1975 .

[40]  D. Newman,et al.  Interpretation of S-state ion E.P.R. spectra , 1975 .

[41]  C. Poole,et al.  Standardization of convention for zero field splitting parameters , 1974 .

[42]  P. L. Hall,et al.  Dependence of spin Hamiltonian parameters E and D on labeling of magnetic axes: Application to ESR of high-spin Fe3+ , 1974 .

[43]  M. Peter,et al.  Paramagnetic Resonance ofNi++,V++, andCr+++in ZnF2 , 1960 .

[44]  M. Tinkham Paramagnetic resonance in dilute iron group fluorides. I. Fluorine hyperfine structure , 1956, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[45]  B. Bleaney,et al.  The paramagnetic resonance spectra of two salts of manganese , 1951, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.