Spin Hamiltonian Parameters for Co²⁺ Ions in PbMoO₄ Crystal - Interplay between the Fictitious Spin S'=1/2 and the Effective Spin S̃ =3/2

• Authors: D. Piwowarska , S. Kaczmarek , P. Gnutek , C. Rudowicz
• Languages of publication: EN

Abstracts

EN

The interplay between the fictitious spin S' = 1/2 and the effective spin S̃=3/2 for Co²⁺(3d⁷) ions is considered. The available experimental data on the Ze g_{i}' factors for the two Co²⁺ complexes in PbMoO₄ obtained using the fictitious "spin" S'=1/2 description serve for determination of the Zeeman g_{i} factors corresponding to the effective spin S̃ =3/2. The second-rank zero-field splitting parameters D and E (S̃ = 3/2) are also indirectly determined from the experimental EMR data by employing the formulas arising from projection of the g_{i}(S̃=3/2) factors onto the g_{i}'(S' = 1/2) factors. The so-determined second-rank zero-field splitting parameters and g_{i}(S̃ = 3/2) factors will enable comparison with the respective quantities obtained in a subsequent paper using a combined modeling approach.

Keywords

EN

75.10.Dg; 71.70.Ch; 61.50.Ah; 61.72.Hh; 76.30.-v; 76.30.Fc

Discipline

• 76.30.-v: Electron paramagnetic resonance and relaxation(see also 33.35.+r Electron resonance and relaxation in atomic and molecular physics; 87.80.Lg Magnetic and paramagnetic resonance in biological physics)
• 61.72.Hh: Indirect evidence of dislocations and other defects (resistivity, slip, creep, strains, internal friction, EPR, NMR, etc.)
• 76.30.Fc: Iron group (3d) ions and impurities (Ti-Cu)
• 61.50.Ah: Theory of crystal structure, crystal symmetry; calculations and modeling
• 75.10.Dg: Crystal-field theory and spin Hamiltonians(see also 71.70.Ch Crystal and ligand fields)
• 71.70.Ch: Crystal and ligand fields

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2017
• Volume: 132
• Issue: 1
• Pages: 73-76

Dates

published

2017-07

Contributors

author

D. Piwowarska

• Institute of Physics, West Pomeranian University of Technology, al. Piastów 17, 70-310 Szczecin, Poland

author

S. Kaczmarek

• Institute of Physics, West Pomeranian University of Technology, al. Piastów 17, 70-310 Szczecin, Poland

author

P. Gnutek

• Institute of Physics, West Pomeranian University of Technology, al. Piastów 17, 70-310 Szczecin, Poland

author

C. Rudowicz

• Institute of Physics, West Pomeranian University of Technology, al. Piastów 17, 70-310 Szczecin, Poland
• visiting professor: Faculty of Chemistry, Adam Mickiewicz University, Umultowska 89B, 61-614 Poznań, Poland

References

• [1] A. Abragam, B. Bleaney, Electron Paramagnetic Resonance of Transition Ions, Dover, New York 1986
• [2] S. Altshuler, B.M. Kozyrev, Electron Paramagnetic Resonance in Compounds of Transition Elements, Wiley, New York 1974
• [3] F.E. Mabbs, D. Collison, Electron Paramagnetic Resonance of $d$ Transition-Metal Compounds, Elsevier, Amsterdam 1992
• [4] J.R. Pilbrow, Transition-Ion Electron Paramagnetic Resonance, Clarendon Press, Oxford 1990
• [5] J.A. Weil, J.R. Bolton, J.E. Wertz, Electron Paramagnetic Resonance, Elemental Theory Practical Applications, Wiley, New York 1994
• [6] Multifrequency Electron Paramagnetic Resonance, Ed. S.K. Misra, Wiley-VCH, Weinheim 2011
• [7] C. Rudowicz, Magn. Reson. Rev. 13, 1 (1987); erratum: ibid. 13, 335 (1988)
• [8] C. Rudowicz, S.K. Misra, Appl. Spectrosc. Rev. 36, 11 (2001), doi: 10.1081/ASR-100103089
• [9] C. Rudowicz, M. Karbowiak, Coord. Chem. Rev. 287, 28 (2015), doi: 10.1016/j.ccr.2014.12.006
• [10] D.J. Newman, B. Ng, Rep. Prog. Phys. 52, 699 (1989), doi: 10.1088/0034-4885/52/6/002
• [11] M. Andrut, M. Wildner, C. Rudowicz, in: Spectroscopic Methods in Mineralogy - EMU Notes Mineralogy, Vol. 6, Eds. A. Beran, E. Libowitzky, Eötvös University Press, Budapest 2004, Ch. 4, p. 145
• [12] Y.Y. Yeung, C. Rudowicz, Comput. Chem. 16, 207 (1992), doi: 10.1016/0097-8485(92)80004-J
• [13] Z.-Y. Yang, Y. Hao, C. Rudowicz, Y.-Y. Yeung, J. Phys. Condens. Matter 16, 3481 (2004), doi: 10.1088/0953-8984/16/20/018
• [14] J. Leciejewicz, Z. Kristallogr. 121, 158 (1965), doi: 10.1524/zkri.1965.121.2-4.158
• [15] J.A. Groenink, H. Binsma, J. Solid State Chem. 29, 227 (1979), doi: 10.1016/0022-4596(79)90228-7
• [16] D. Piwowarska, P. Gnutek, C. Rudowicz, H. Ohta, T. Sakurai, to be published
• [17] M.C. Chen, J.O. Artman, Phys. Rev. 187, 723 (1969), doi: 10.1103/PhysRev.187.723
• [18] M.-C. Chen, J.O. Artman, D. Sengupta, J.C.M. Henning, Phys. Rev. B 4, 1387 (1971), doi: 10.1103/PhysRevB.4.1387
• [19] D. Piwowarska, A. Ostrowski, I. Stefaniuk, S.M. Kaczmarek, C. Rudowicz, Opt. Mater. 35, 2296 (2013), doi: 10.1016/j.optmat.2013.06.018
• [20] C. Rudowicz, P. Gnutek, Physica B 404, 3582 (2009), doi: 10.1016/j.physb.2009.06.060
• [21] C. Rudowicz, Chem. Phys. 97, 43 (1985), doi: 10.1016/0301-0104(85)87076-2
• [22] D. Piwowarska, S.M. Kaczmarek, M. Berkowski, J. Non-Cryst. Solids 354, 4437 (2008), doi: 10.1016/j.jnoncrysol.2008.06.078
• [23] R. Boča, Coord. Chem. Rev. 248, 757 (2004), doi: 10.1016/j.ccr.2004.03.001
• [24] R. Boča, Struct. Bond. 117, 1 (2006), doi: 10.1007/b136907
• [25] H.H. Woodbury, G.W. Ludwig, Bull. Am. Phys. Soc. 6, 118 (1961)
• [26] K. Morigaki, J. Phys. Soc. Jpn. 18, 1558 (1963), doi: 10.1143/JPSJ.18.1558
• [26a] K. Morigaki, J. Phys. Soc. Jpn. 19, 2064 (1964), doi: 10.1143/JPSJ.19.2064
• [27] K.D. Bowers, J. Owen, Rep. Prog. Phys. 18, 304 (1955), doi: 10.1088/0034-4885/18/1/308
• [28] J. Krzystek, S.A. Zvyagin, A. Ozarowski, A.T. Fiedler, T.C. Brunold, J. Telser, J. Am. Chem. Soc. 126, 2148 (2004), doi: 10.1021/ja039257y
• [29] A. Piecha-Bisiorek, A. Bieńko, R. Jakubas, R. Boča, M. Weselski, V. Kinzhybalo, A. Pietraszko, M. Wojciechowska, W. Medycki, D. Kruk, J. Phys. Chem. A 120, 2014 (2016), doi: 10.1021/acs.jpca.5b11924
• [30] A. Bencini, D. Gatteschi, Inorg. Chem. 16, 2141 (1977), doi: 10.1021/ic50174a071
• [31] K. Fukui, H. Masuda, H. Ohya-Nishiguchi, H. Kamada, Inorg. Chim. Acta 238, 73 (1995), doi: 10.1016/0020-1693(95)04683-Z
• [32] I. Stefaniuk, A. Matkovskii, C. Rudowicz, A. Suchocki, Z. Wilamowski, T. Lukasiewicz, Z. Galazka, J. Phys. Condens. Matter 18, 4751 (2006), doi: 10.1088/0953-8984/18/19/026

Identifiers

DOI

10.12693/APhysPolA.132.73