mriselMagnetic Resonance in SolidsMagnetic Resonance in Solids2072-5981Kazan Federal University10.26907/mrsej-24214mrisel-267Research ArticleСтатьиInfluence of frequency effect on the Condon shape of electron-vibrational absorption spectrum in the single oscillator modelSolovyevO. V.

Kremlevskaya 18, Kazan 420008

oleg.solovyev@mail.ruMironovR. P.

Kremlevskaya 18, Kazan 420008

DjiguibaM.

Kremlevskaya 18, Kazan 420008

Kazan Federal UniversityRussian Federation202429082024262SPECIAL ISSUE dedicated to Boris Z. Malkin's 85th birthday24214 (12 pp.)Copyright © Solovyev O.V., Mironov R.P., Djiguiba M., 20242024Solovyev O.V., Mironov R.P., Djiguiba M.Solovyev O.V., Mironov R.P., Djiguiba M.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/267

Analytical expressions for generating function and form function of absorption spectrum of a paramagnetic ion interacting with an oscillator at zero temperature are derived in the adiabatic and Condon approximations taking into account frequency effect: quadratic dependence of adiabatic potential on the vibrational coordinate is obtained by considering linear electron-vibrational interaction in the second order of perturbation theory. Approximations made throughout the paper and their limitations are discussed in detail.

electron-vibrational interactionabsorption spectrumCondon approximationfrequency effectO.V.S. acknowledges fruitful collaboration with Prof. Boris Zalmanovich Malkin over the years and is grateful for his encouraging support and inspiring influence of his scientific ideas. This paper was supported by the Kazan Federal University Strategic Academic Leadership Program (Priority-2030).ReferencesMalkin B.Z. Crystal Field and Electron-Phonon Interaction in Rare-Earth Ionic Paramag nets, in Spectroscopy of Solids Containing Rare-Earth Ions, ed. by A.A. Kaplyanskii and R.M. Macfarlane, Ch. 2, pp. 13-50, North-Holland, Amsterdam (1987)Malkin B.Z. Crystal Field and Electron-Phonon Interaction in Rare-Earth Ionic Paramag nets, in Spectroscopy of Solids Containing Rare-Earth Ions, ed. by A.A. Kaplyanskii and R.M. Macfarlane, Ch. 2, pp. 13-50, North-Holland, Amsterdam (1987)Malkin B.Z., Solovyev O.V., Malishev A.Yu., Saikin S.K. J. Lumin. 125, 175 (2007)Malkin B.Z., Solovyev O.V., Malishev A.Yu., Saikin S.K. J. Lumin. 125, 175 (2007)Kirm M., Stryganyuk G., Vielhauer S., Zimmerer G., Makhov V.N., Malkin B.Z., Solovyev O.V., Abdulsabirov R.Yu., 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.Yu., Korableva S.L. Phys. Rev. B 75, 075111 (2007)Solovyev O.V., Phys. Solid State 52, 728 (2010)Solovyev O.V., Phys. Solid State 52, 728 (2010)Yunusov R.Yu., Solovyev O.V. J. Phys.: Conf. Ser. 324, 012035 (2011)Yunusov R.Yu., Solovyev O.V. J. Phys.: Conf. Ser. 324, 012035 (2011)Solovyev O.V., Yunusov R.Yu. Opt. Spectrosc. 116, 754 (2014)Solovyev O.V., Yunusov R.Yu. Opt. Spectrosc. 116, 754 (2014)Perlin Yu.E., Tsukerblat B.S. Electron-vibrational interaction effects on optical spectra of impurity paramagnetic ions (Stiintza, Kishinev, 1974) 367 p. [in Russian]Perlin Yu.E., Tsukerblat B.S. Electron-vibrational interaction effects on optical spectra of impurity paramagnetic ions (Stiintza, Kishinev, 1974) 367 p. [in Russian]Williams F.E. J. Opt. Soc. Am. 39, 648 (1949)Williams F.E. J. Opt. Soc. Am. 39, 648 (1949)Kubo R., Toyodzawa Y. Prog. Theor. Phys. 13, 160 (1955)Kubo R., Toyodzawa Y. Prog. Theor. Phys. 13, 160 (1955)

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