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As for other fluorescence light emitters, rare-earth (RE)- doped solids usually follow the well known principle of the Stokes law which simply states that excitation photons are at higher energy than emitted ones or in other words that out-put photon energy is weaker than input photon energy. Such principle is valid of course only when one ion system is considered.
Francois E. Auzel
"Up-conversion in rare-earth-doped systems: past, present and future", Proc. SPIE 4766, XI Feofilov Symposium on Spectroscopy of Crystals Activated by Rare-Earth and Transition Metal Ions, (12 July 2002); https://doi.org/10.1117/12.475333
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Francois E. Auzel, "Up-conversion in rare-earth-doped systems: past, present and future," Proc. SPIE 4766, XI Feofilov Symposium on Spectroscopy of Crystals Activated by Rare-Earth and Transition Metal Ions, (12 July 2002); https://doi.org/10.1117/12.475333