mriselMagnetic Resonance in SolidsMagnetic Resonance in Solids2072-5981Kazan Federal University10.26907/mrsej-19405mrisel-67Research ArticleСтатьиAdvances of crystal field theory and exchange charge modelBrikM. G.

Chongqing 400065; W. Ostwald Str. 1, Tartu 50411, Estonia; Armii Krajowej 13/15, Czȩstochowa PL-42200, Poland

mikhail.brik@ut.eeAvramN. M.

 Bd. V. Parvan, No. 4, Timisoara 300223; Independentei 54, Bucharest 050094

AvramC. N.

Bd. V. Parvan, No. 4, Timisoara 300223

College of Sciences, Chongqing University of Posts and Telecommunications; Institute of Physics, University of Tartu; Institute of Physics, Jan Długosz UniversityChinaDepartment of Physics, West University of Timisoara; Academy of Romanian ScientistRomaniaDepartment of Physics, West University of TimisoaraRomania201906062019214SPECIAL ISSUE dedicated to Boris Z. Malkin's 80th birthday19405 (6 pp.)Copyright © Brik M.G., Avram N.M., Avram C.N., 20242024Brik M.G., Avram N.M., Avram C.N.Brik M.G., Avram N.M., Avram C.N.Данная работа распространяется под лицензией Creative Commons Attribution 4.0.This work is licensed under a Creative Commons Attribution 4.0 License.https://www.mrsej.ru/jour/article/view/67

A short overview of the exchange charge model of crystal field is given. Several most important applications of the model to the calculations of the crystal field parameters, energy levels of impurity ions, parameters of the electron-vibrational interaction and transition intensities supported by the recent literature publications are discussed.

crystal field theorytransition metal and rare earth ionscrystal field splittingReferencesBethe H. Ann. Physik 3, 133 (1929)Bethe H. Ann. Physik 3, 133 (1929)Van Vleck J. Phys. Rev. 41, 208 (1932)Van Vleck J. Phys. Rev. 41, 208 (1932)Stevens K.W.H. Proc. Phys. Soc. A 65, 209 (1952)Stevens K.W.H. Proc. Phys. Soc. A 65, 209 (1952)Judd B.R. Proc. Royal Soc. A 232, 458 (1955); ibid 241, 414 (1957)Judd B.R. Proc. Royal Soc. A 232, 458 (1955); ibid 241, 414 (1957)Liu G.K., in: Spectroscopic Properties of Rare Earth in Optical Materials, edited by G.K. Liu,Liu G.K., in: Spectroscopic Properties of Rare Earth in Optical Materials, edited by G.K. Liu,B. Jacquier, p. 1, Springer, New York (2005)B. Jacquier, p. 1, Springer, New York (2005)Su P., Ma C.-G., Brik M.G., Srivastava A.M. Opt. Mater. 79, 129 (2018)Su P., Ma C.-G., Brik M.G., Srivastava A.M. Opt. Mater. 79, 129 (2018)Newman D.J. Adv. Phys. 20, 197 (1971)Newman D.J. Adv. Phys. 20, 197 (1971)Newman D.J., Ng B. Rep. Prog. Phys. 52, 699 (1989)Newman D.J., Ng B. Rep. Prog. Phys. 52, 699 (1989)Yeung Y.Y., in: Optical Properties of 3d-Ions in Crystals: Spectroscopy and Crystal Field Analysis, edited by N.M. Avram, M.G. Brik, Ch. 3, p. 95, Springer and Tsinghua University Press (2013)Yeung Y.Y., in: Optical Properties of 3d-Ions in Crystals: Spectroscopy and Crystal Field Analysis, edited by N.M. Avram, M.G. Brik, Ch. 3, p. 95, Springer and Tsinghua University Press (2013)Malkin B.Z., Crystal Field and Electron-Phonon Interaction in Rare-Earth Ionic Paramagnets, in: Spectroscopy of Solids Containing Rare-Earth Ions, edited by A.A. Kaplyanskii, B.M. Macfarlane, p. 13, North Holland, Amsterdam (1987)Malkin B.Z., Crystal Field and Electron-Phonon Interaction in Rare-Earth Ionic Paramagnets, in: Spectroscopy of Solids Containing Rare-Earth Ions, edited by A.A. Kaplyanskii, B.M. Macfarlane, p. 13, North Holland, Amsterdam (1987)Abragam A.G., Bleaney B. Electron Paramagnetic Resonance of Transition Ions, Oxford University Press, Oxford, Clarendon (1970)Abragam A.G., Bleaney B. Electron Paramagnetic Resonance of Transition Ions, Oxford University Press, Oxford, Clarendon (1970)Brik M.G., Avram N.M. AIP Conf. Proc. 1131, 86 (2009)Brik M.G., Avram N.M. AIP Conf. Proc. 1131, 86 (2009)Jousseaume C., Vivien D., Kahn-Harari A., Malkin B.Z. Opt. Mater. 24, 143 (2003)Jousseaume C., Vivien D., Kahn-Harari A., Malkin B.Z. Opt. Mater. 24, 143 (2003)Brik M.G., Avram N.M., Avram C.N., Rudowicz C., Yeung Y.Y., Gnutek P. J. Alloys Compds. 432, 61 (2007)Brik M.G., Avram N.M., Avram C.N., Rudowicz C., Yeung Y.Y., Gnutek P. J. Alloys Compds. 432, 61 (2007)Medić M.M., Brik M.G., Drazic G., Antic Z., Lojpur V.M., Dramicanin M.D. J. Phys. Chem. C 119, 724 (2015)Medić M.M., Brik M.G., Drazic G., Antic Z., Lojpur V.M., Dramicanin M.D. J. Phys. Chem. C 119, 724 (2015)Brik M.G., Srivastava A.M. J. Lumin. 132, 579 (2012)Brik M.G., Srivastava A.M. J. Lumin. 132, 579 (2012)Srivastava A.M., Brik M.G. Opt. Mater. 35, 1544 (2013)Srivastava A.M., Brik M.G. Opt. Mater. 35, 1544 (2013)Klimin S.A., Pytalev D.S., Popova M.N., Malkin B.Z., Vanyunin M.V., Korableva S.L. Phys. Rev. B 81, 045113 (2010)Klimin S.A., Pytalev D.S., Popova M.N., Malkin B.Z., Vanyunin M.V., Korableva S.L. Phys. Rev. B 81, 045113 (2010)Shakurov G.S., Vanyunin M.V., Malkin B.Z., Barbara B., Abdulsabirov R.Y., Korableva S.L. Appl. Magn. Res. 28, 251 (2005)Shakurov G.S., Vanyunin M.V., Malkin B.Z., Barbara B., Abdulsabirov R.Y., Korableva S.L. Appl. Magn. Res. 28, 251 (2005)Popova M.N., Klimin S.A., Malkin B.Z., Kasatkina L.A., Cao G., Crow J. Phys. Lett. A 223, 308 (1996)Popova M.N., Klimin S.A., Malkin B.Z., Kasatkina L.A., Cao G., Crow J. Phys. Lett. A 223, 308 (1996)Popova M.N., Klimin S.A., Chukalina E.P., Malkin B.Z., Leviitin R.Z., Mill B.V., Antic-Fidancev E. Phys. Rev. B 68, 155103 (2003)Popova M.N., Klimin S.A., Chukalina E.P., Malkin B.Z., Leviitin R.Z., Mill B.V., Antic-Fidancev E. Phys. Rev. B 68, 155103 (2003)Popova M.N., Chukalina E.P., Malkin B.Z., Iskhakova A.I., Antic-Fidancev E., Porcher P., Chaminade J.P. Phys. Rev. B 63, 075103 (2001)Popova M.N., Chukalina E.P., Malkin B.Z., Iskhakova A.I., Antic-Fidancev E., Porcher P., Chaminade J.P. Phys. Rev. B 63, 075103 (2001)Klekovkina V.V., Malkin B.Z. Opt. Spectr. 116, 849 (2014)Klekovkina V.V., Malkin B.Z. Opt. Spectr. 116, 849 (2014)Malkin B.Z., Lummen T.T.A., van Loosdrecht P.H.M., Dhalenne G., Zakirov A.R. J. Phys.: Condens. Matter 22, 276003 (2010)Malkin B.Z., Lummen T.T.A., van Loosdrecht P.H.M., Dhalenne G., Zakirov A.R. J. Phys.: Condens. Matter 22, 276003 (2010)Popova M.N., Chukalina E.P., Stanislavchuk T.N., Malkin B.Z., Zakirov A.R., Antic-Fidancev E., Popova E.A., Bezmaternykh L.N., Temerov V.L. Phys. Rev. B 75, 224435 (2007)Popova M.N., Chukalina E.P., Stanislavchuk T.N., Malkin B.Z., Zakirov A.R., Antic-Fidancev E., Popova E.A., Bezmaternykh L.N., Temerov V.L. Phys. Rev. B 75, 224435 (2007)Kirm M., Stryganyuk G., Vielhauer S., Zimmerer G., Makhov V.N., Malkin B.Z., Solovyev O.V., Abdulsabirov R.Y., Korableva S.L. Phys. Rev. B 75, 075111 (2007)Kirm M., Stryganyuk G., Vielhauer S., Zimmerer G., Makhov V.N., Malkin B.Z., Solovyev O.V., Abdulsabirov R.Y., Korableva S.L. Phys. Rev. B 75, 075111 (2007)Makhov V.N., Kirm M., Struganyuk G., Vielhauer S., Zimmerer G., Malkin B.Z., Solovyev O.V., Korableva S.L. J. Lumin. 132, 418 (2012)Makhov V.N., Kirm M., Struganyuk G., Vielhauer S., Zimmerer G., Malkin B.Z., Solovyev O.V., Korableva S.L. J. Lumin. 132, 418 (2012)Malkin B.Z., Solovyev O.V., Malishev A.Y., Saikin S.K. J. Lumin. 125, 175 (2007)Malkin B.Z., Solovyev O.V., Malishev A.Y., Saikin S.K. J. Lumin. 125, 175 (2007)Brik M.G., Avram C.N. J. Lumin. 102-103, 283 (2003)Brik M.G., Avram C.N. J. Lumin. 102-103, 283 (2003)Brik M.G., Avram N.M. J. Phys.: Condens. Matter 21, 155502 (2009)Brik M.G., Avram N.M. J. Phys.: Condens. Matter 21, 155502 (2009)Avram N.M., Brik M.G., Kityk I.V. Opt. Mater. 32, 1668 (2010)Avram N.M., Brik M.G., Kityk I.V. Opt. Mater. 32, 1668 (2010)Brik M.G., Avram C.N. J. Lumin. 131, 2642 (2011)Brik M.G., Avram C.N. J. Lumin. 131, 2642 (2011)Brik M.G., Yeung Y.Y. J. Phys. Chem. Solids 69, 2401 (2008)Brik M.G., Yeung Y.Y. J. Phys. Chem. Solids 69, 2401 (2008)

The authors declare that there are no conflicts of interest present.