Theoretical Free-Ion Energies, Derivatives and Reduced Matrix Elements I. Pr(3+), Tm(3+), Nd(3+), and Er(3+).
Abstract
The theoretical procedure for analysing the optical spectra of triply ionized lanthanides in crystals is discussed. Methods first suggested by Margolis and Wong are incorporated into a procedure that indicates that free-ion parameters relating to some convenient host material are to be preferred for obtaining basis wave functions and reduced matrix elements. The aqueous solution free-ion parameters for Pr(3+), Tm(3+), Nd(3+), and Er(3+) are used to calculate the free-ion centroid energies and derivatives with respect to the Ek, zeta, alpha, beta, and gamma of Rajnak and Wybourne's seven-parameter Hamiltonian. Reduced matrix elements for the spherical harmonics in low-lying multiplets of these ions are given.
Document Details
- Document Type
- Technical Report
- Publication Date
- Jul 01, 1977
- Accession Number
- ADA042557
Entities
People
- Clyde A. Morrison
- Donald E. Wortman
- Nick Karayianis
Organizations
- Harry Diamond Laboratories