Rare Earth Ion-Host Crystal Interactions. 3. Three-Parameter Theory of Crystal Fields.

Abstract

A systematic approach in selecting solid-state materials that offer promise as new lasers with predetermined characteristics is of fundamental importance. Reliable predictions of the energy levels and transition probabilities of a laser active ion in a given host would greatly facilitate this goal. The three-parameter theory of crystal fields is used to derived crystal-field parameters for the first rare-earth series, lanthanides, in CaWO4. The parameters q and eta of the theory describe covalent effects in the host lattice; q represents the effective oxygen charge, and eta represents the effective oxygen-tungsten distance. The third parameter tau represents the expansion of the radial 4f wavefunction from its Hartree-Fock value. Values of tau are found for the ions Nd(3+), Tb(3+), Dy(3+), Ho(3+), Er(3+), and Tm(3+), and are determined for the other rare earths by a linear fit. Energy levels and ground state g-values are calculated using the derived crystal-field parameters.

Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1975
Accession Number
ADA017849

Entities

People

  • Clyde A. Morrison
  • Donald E. Wortman
  • Richard P. Leavitt

Organizations

  • Harry Diamond Laboratories

Tags

DTIC Thesaurus Topics

  • Atomic Energy Levels
  • Elements
  • Energy Levels
  • Ground State
  • Materials
  • Metals
  • Probability
  • Transitions
  • Tungsten

Fields of Study

  • Physics

Readers

  • Materials Science and Engineering.
  • Quantum spin resonance or Electron Paramagnetic Resonance spectroscopy.
  • Systems Analysis and Design

Technology Areas

  • Directed Energy
  • Directed Energy - Lasers