Electric-Dipole 4f^N-4f^N Transition Intensity Parametrizations for Lanthanides: Multiple Indistinguishable Parameter Sets and Multiple Local Minima

Authors

G. W. Burdick, Andrews UniversityFollow
R. L. Summerscales, Andrews UniversityFollow
S. M. Crooks, Andrews University
M. F. Reid, Andrews University
F. S. Richardson, Andrews University

Document Type

Article

Publication Date

5-24-2000

Keywords

Electric-dipole transitions, Lanthanide ions, Multiple indistinguishable parameter sets

Abstract

For most symmetries the standard parametrization of one-photon electric-dipole transitions between crystal-field levels of the 4f configuration of lanthanide ions gives the same predictions for several quite different parameter sets. An alternative parametrization scheme that provides separate parameters for each of the different polarization directions removes this anomaly. A second problem arises due to the fact that multiple local minima may fit the data nearly equally well. Through a detailed reexamination of the previously well-studied system NdODA, we examine and attempt to resolve this local minima problem. © 2000 Elsevier Science S.A. All rights reserved.

Journal Title

Journal of Alloys and Compounds

Volume

303-304

First Page

376

Last Page

382

DOI

https://doi.org/10.1016/S0925-8388(00)00644-7

First Department

Physics

Recommended Citation

Burdick, G. W.; Summerscales, R. L.; Crooks, S. M.; Reid, M. F.; and Richardson, F. S., "Electric-Dipole 4f^N-4f^N Transition Intensity Parametrizations for Lanthanides: Multiple Indistinguishable Parameter Sets and Multiple Local Minima" (2000). Faculty Publications. 2538.
https://digitalcommons.andrews.edu/pubs/2538