Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Journal of the Physical Society of Japan

Energy Transfer and Cooperative Optical Transitions In Rare-Earth Doped Inorganic Materials. II. Comparison with Experiments

Takashi Kushida

Published May 1, 1973• 42 citations
Publisher

Abstract

Using the transition probabilities obtained by the method of the previous paper I, efficiencies of several infrared-to-visible conversion processes, as well as rates for resonance energy transfer and cooperative optical transition, are calculated and compared with experiments. Agreement seems to be satisfactory if the approximations adopted in the computation are considered. Comparisons are also made between the present estimates and other calculations.

DOI
10.1143/jpsj.34.1327

Related papers

Energy Transfer and Cooperative Optical Transitions in Rare-Earth Doped Inorganic Materials. I. Transition Probability Calculation

Takashi Kushida

Calculations made of the rates for several processes involving interactions between rare earth ions in crystals, such as resonance energy transfer, cooperative excitation transfer and cooperative optical transitions. These processes are assumed to originate from the electric multipole interactions between the ions concerned. A tensor operator method is employed in order to take account of the individual characters of the energy levels involved in the transition. Evaluation of the typical transition probability is also made on the lowest-order parity-allowed processes in nearest neighbour ions. The rates for the resonance transfer and cooperative transfer processes thus estimated are much smaller than those obtained by Miyakawa and Dexter.

Journal of the Physical Society of Japan•May 1, 1973•288 citations

Energy Transfer and Cooperative Optical Transitions in Rare-Earth Doped Inorganic Materials. III. Dominant Transfer Mechanism

Takashi Kushida

Estimations are made of the critical concentration of energy-acceptor ions for which the average efficiency of the excitation transfer from energy-donor ions is 1/2. This gives a measure of the activator concentration at which Inokuti and Hirayama's theory is no longer applicable. Study is also made of the dominant multipole interaction responsible for the energy transfer between rare earth ions in inorganic solids. Finally, importance of the J -selection rule in the determination of the dominant interaction term in the resonance transfer and cooperative processes is emphasized.

Journal of the Physical Society of Japan•May 1, 1973•43 citations

Energy transfer and cooperative optical transitions in rare-earth doped inorganic materials-1〜3-

Takashi Kushida

Journal of the Physical Society of Japan•May 1, 1973•1 citation

Probabilistic Treatment of Stepwise Energy Transfer and Infrared-to-Visible Conversion

H. J. Richter, R. KENT WATTS

A probabilistic model for the two-photon process of infrared-to-visible light conversion by ${\mathrm{Yb}}^{3+}$-${\mathrm{Tm}}^{3+}$ or similar rare-earth ion systems in solids is considere. The model demonstrates the basic influence of the infrared pump power and the lifetime of the intermediate excited state on the conversion efficiency.

Physical review. B, Solid state•Jan 15, 1972•4 citations

Coherent cooperative fluorescence resonance energy transfer

Sergey K. Sekatskii, Konstantin K. Pukhov

Cooperative fluorescence resonance energy transfer effect is experimentally demonstrated for a few crystals doped with rare-earth ions. We show that, at the liquid helium temperatures in similar crystals, coherent cooperative fluorescence resonance energy transfer, as well as an inverse coherent up-conversion process, could be observed, and briefly discuss possible applications of these effects.

Optics and Spectroscopy•Dec 1, 2014•1 citation

Optical properties of ions in crystals

H. M. Crosswhite, Henry W. Moos

The volume is comprised of 40 papers in the following areas: Rare earth energy level structure and transition probabilities; energy levels and excited state effects in transition metal ions; cooperative phenomena; energy transfer; vibronics and infrared studies.

•Jan 1, 1966•533 citations
Using the transition probabilities obtained by the method of the previous paper I, efficiencies of several infrared-to-visible conversion processes, as well as rates for resonance energy transfer and cooperative optical transition, are calculated and compared with experiments. Agreement seems to be satisfactory if the approximations adopted in the computation are considered. Comparisons are also made between the present estimates and other calculations.
Calculations made of the rates for several processes involving interactions between rare earth ions in crystals, such as resonance energy transfer, cooperative excitation transfer and cooperative optical transitions. These processes are assumed to originate from the electric multipole interactions between the ions concerned. A tensor operator method is employed in order to take account of the individual characters of the energy levels involved in the transition. Evaluation of the typical transition probability is also made on the lowest-order parity-allowed processes in nearest neighbour ions. The rates for the resonance transfer and cooperative transfer processes thus estimated are much smaller than those obtained by Miyakawa and Dexter.
Estimations are made of the critical concentration of energy-acceptor ions for which the average efficiency of the excitation transfer from energy-donor ions is 1/2. This gives a measure of the activator concentration at which Inokuti and Hirayama's theory is no longer applicable. Study is also made of the dominant multipole interaction responsible for the energy transfer between rare earth ions in inorganic solids. Finally, importance of the J -selection rule in the determination of the dominant interaction term in the resonance transfer and cooperative processes is emphasized.
A probabilistic model for the two-photon process of infrared-to-visible light conversion by Yb3+{\mathrm{Yb}}^{3+}Yb3+-Tm3+{\mathrm{Tm}}^{3+}Tm3+ or similar rare-earth ion systems in solids is considere. The model demonstrates the basic influence of the infrared pump power and the lifetime of the intermediate excited state on the conversion efficiency.