GroupTheory`
GroupTheory`

GTStevensTheta

GTStevensTheta[rare-earth element,l]

calculates numerical pre-factors for the crystal field expansion using operator equivalents.

Details and Options

  • The input has to be a rare-earth element. The pre-factors are taken from the seminal paper of Stevens. The pre-factors have to be included into the crystal field parameters.
  • See: W. Hergert, M. Geilhufe, Group Theory in Solid State Physics and Photonics. Problem Solving with Mathematica
  • K. W. H. Stevens, Matrix Elements and Operator Equivalents Connected with the Magnetic Properties of Rare Earth Ions, Proceedings of the Physical Society. Section A, 1952, 65, 209

Examples

Basic Examples  (1)

First, load the package:

Calculate the pre-factor for Holmium