What question did this study set out to answer?

Formulate a theoretical framework to calculate the intensities of electric-dipole and magnetic-dipole transitions for rare-earth ions embedded in crystal fields.

August 1, 1962The Journal of Chemical Physics

Intensities of Crystal Spectra of Rare-Earth Ions

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Authors

GOG. S. OfeltLangley Research Center

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Overview

Theoretical modeling determines dipole transition probabilities in rare-earth crystal fields, explaining previously missing and weak fluorescence spectral lines.

Key Points

Formulate a theoretical framework to calculate the intensities of electric-dipole and magnetic-dipole transitions for rare-earth ions embedded in crystal fields.
Derived pure-electronic electric-dipole transition probabilities using matrix elements of even-order unit tensors between 4f states.
Modeled crystal-field perturbation interactions across excited configurations (nd9 4f^(x-1), 4f^(x-1) nd, and 4f^(x-1) ng) via odd-k crystal-field parameters.
Evaluated transition selection rules and applied the formulation to experimental fluorescence spectra of PrCl3 and EuCl3.
Demonstrated that inter-configuration interactions add linearly to scale each odd-order crystal-field parameter Akq by a constant factor.
Identified selection rules showing that transitions are restricted to ΔJ ≤ 6 and ΔL ≤ 6 when neglecting J-mixing and L-mixing, respectively.
Successfully accounted for the absence or weakness of several previously unexplained transition lines in PrCl3 and EuCl3 fluorescence spectra.

Cite This Study

G. S. Ofelt (1962) studied this question.

synapsesocial.com/papers/69da22010f32475823a3d018 https://doi.org/10.1063/1.1701366

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August 1, 1962The Journal of Chemical Physics

Intensities of Crystal Spectra of Rare-Earth Ions

View Full Paper

Ask AI

Bookmark

Authors

GOG. S. OfeltLangley Research Center

Discussion

Member takes

Overview

Theoretical modeling determines dipole transition probabilities in rare-earth crystal fields, explaining previously missing and weak fluorescence spectral lines.

Key Points

Formulate a theoretical framework to calculate the intensities of electric-dipole and magnetic-dipole transitions for rare-earth ions embedded in crystal fields.
Derived pure-electronic electric-dipole transition probabilities using matrix elements of even-order unit tensors between 4f states.
Modeled crystal-field perturbation interactions across excited configurations (nd9 4f^(x-1), 4f^(x-1) nd, and 4f^(x-1) ng) via odd-k crystal-field parameters.
Evaluated transition selection rules and applied the formulation to experimental fluorescence spectra of PrCl3 and EuCl3.
Demonstrated that inter-configuration interactions add linearly to scale each odd-order crystal-field parameter Akq by a constant factor.
Identified selection rules showing that transitions are restricted to ΔJ ≤ 6 and ΔL ≤ 6 when neglecting J-mixing and L-mixing, respectively.
Successfully accounted for the absence or weakness of several previously unexplained transition lines in PrCl3 and EuCl3 fluorescence spectra.

Cite This Study

G. S. Ofelt (1962) studied this question.

synapsesocial.com/papers/69da22010f32475823a3d018 https://doi.org/10.1063/1.1701366

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