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State mixing and the cubic crystal field approximation for rare earth ions: the case of the Er3+ ion in axial crystal fields

Carey, JD (2009) State mixing and the cubic crystal field approximation for rare earth ions: the case of the Er3+ ion in axial crystal fields Journal of Physics: Condensed Matter, 21 (17). ISSN 0953-8984

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Abstract

The validity of the cubic crystal field (CCF) approximation for the interpretation of the magnetic resonance properties of the Er3+ ion in crystal fields with tetragonal and trigonal symmetry is examined. The ground state paramagnetic resonance principal g values are explicitly calculated in terms of the cubic crystal field eigenstates as a function of axial crystal field strength. It is shown that, depending on the ground state crystal field eigenstate, the widely accepted CCF approximation of simply taking the average of the trace of the g tensor and equating it to the g value found in cubic symmetry can lead to a misinterpretation of the ground state Stark level and the lattice coordination of the ion. The implications for experimentally reported results are discussed.

Item Type: Article
Additional Information: Copyright 2009 Institute of Physics. This is the author's accepted manuscript.
Uncontrolled Keywords: erbium doped silicon, rare earth crystal field, crystal field Hamiltonian, trigonal symmetry, tetragonal symmetry, cubic crystal field approximation, tetrahedral semiconductors, electron paramagnetic resonance, g-values, average g value, Kramer's doublets, irreducible representations, irreducible representations of the cubic crystal field, point charge calculation, crystal field eigenstates, Lower symmetry crystal field, rare earth ions, orbital reduction factor
Divisions: Faculty of Engineering and Physical Sciences > Electronic Engineering > Advanced Technology Institute > Nano-Electronics Centre
Depositing User: Symplectic Elements
Date Deposited: 03 Oct 2012 11:38
Last Modified: 09 Jun 2014 13:23
URI: http://epubs.surrey.ac.uk/id/eprint/713736

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