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Usually, broad-band spectra of transition-metal ions are explained as a result of vibrational quanta's emission or absorption. In this paper optical spectra are interpreted as a result of oscillator position detecting by absorption or emission of light quantum. The basis of coherent oscillator states is then used in averaging procedure to obtain spectrum lineshape. Such formalism is useful in high-temperature limit and excitation by ultrashort laser pulses. Parameters of effective dipole momentum to calculate optical transition strength for any configuration of crystal lattice are introduced. Model calculations are performed for Ti3+. Two-hump structure in optical absorption band is reproduced without taking into account Jahn-Teller effect. The existence of absorption band in the far-infrared region is demonstrated. Simple procedure to calculate non-radiative transitions probability is developed.
Andranik G. Avanesov,V. V. Zhorin, andV. F. Pisarenko
"Oscillating field model in the theory of optical spectra", Proc. SPIE 2706, Tenth Feofilov Symposium on Spectroscopy of Crystals Activated by Rare-Earth and Transitional-Metal Ions, (3 January 1996); https://doi.org/10.1117/12.229133
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Andranik G. Avanesov, V. V. Zhorin, V. F. Pisarenko, "Oscillating field model in the theory of optical spectra," Proc. SPIE 2706, Tenth Feofilov Symposium on Spectroscopy of Crystals Activated by Rare-Earth and Transitional-Metal Ions, (3 January 1996); https://doi.org/10.1117/12.229133