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The Jahn-Teller Effect pp 347–370Cite as

Jahn–Teller Effect for the 3d Ions (Orbital Triplets in a Cubic Crystal Field)

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Part of the book series: Springer Series in Chemical Physics ((CHEMICAL,volume 97))

Abstract

Jahn–Teller effect and related phenomena attract considerable attention of researchers during last several decades. In the present chapter aimed at the students and postgraduates first of all, as well as at the beginners in this field, we review thoroughly the main mechanisms underlying the Ham effect (which means quenching of the spin–orbit interaction due to the interaction of the electronic energy levels with the crystal lattice vibrations). To make the chapter complete from the educational and pedagogical points of view, all necessary mathematical equations needed for calculations are derived and explained. It is shown how the effective second-order spin-Hamiltonian can be used for a description of the Ham effect and estimation of the Jahn–Teller stabilization energy. In addition, an alternative method of determining the Jahn–Teller stabilization energy based on the harmonic approximation and geometrical consideration of the adiabatic surfaces of the potential energy of the ground and excited electronic states is described. The chapter is followed by an attachment with the derivation of the Ham reduction factor.

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Author information

Authors and Affiliations

  1. Institute of Physics, University of Tartu, Riia Street 142, 51014, Tartu, Estonia

    M. G. Brik

  2. Department of Physics, West University of Timisoara, Bvd. V. Parvan 4, Timisoara, 300223, Romania

    N. M. Avram & C. N. Avram

  3. Academy of Romanian Scientists, Splaiul Independentei 54, 050094, Bucharest, Romania

    N. M. Avram

Authors
  1. M. G. Brik
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  2. N. M. Avram
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  3. C. N. Avram
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Editor information

Editors and Affiliations

  1. LS für Theoretische Chemie, Universität Heidelberg, Im Neuenheimer Feld 229, Heidelberg, 69120, Germany

    Horst Köppel

  2. Dept. Chemistry, Johns Hopkins University, Baltimore, 21218, U.S.A.

    David R. Yarkony

  3. MPI für Festkörperforschung, Heisenbergstr. 1, Stuttgart, 70569, Germany

    Heinz Barentzen

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Brik, M.G., Avram, N.M., Avram, C.N. (2009). Jahn–Teller Effect for the 3d Ions (Orbital Triplets in a Cubic Crystal Field). In: Köppel, H., Yarkony, D., Barentzen, H. (eds) The Jahn-Teller Effect. Springer Series in Chemical Physics, vol 97. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-03432-9_12

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