<abstract xmlns="http://www.w3.org/1999/xhtml"><p>The interface between optical spectroscopy, electron magnetic resonance (EMR), and magnetism of transition ions forms the intricate web of interrelated notions. Major notions are the physical Hamiltonians, which include the crystal field (CF) (or equivalently ligand field (LF)) Hamiltonians, and the effective spin Hamiltonians (SH), which include the zero-field splitting (ZFS) Hamiltonians as well as to a certain extent also the notion of magnetic anisotropy (MA). Survey of recent literature has revealed that this interface, denoted CF (LF) ↔ SH (ZFS), has become dangerously entangled over the years. The same notion is referred to by three names that are not synonymous: CF (LF), SH (ZFS), and MA. In view of the strong need for systematization of nomenclature aimed at bringing order to the multitude of different Hamiltonians and the associated quantities, we have embarked on this systematization. In this article, we do an overview of our efforts aimed at providing a deeper understanding of the major intricacies occurring at the CF (LF) ↔ SH (ZFS) interface with the focus on the EMR-related problems for transition ions.</p></abstract>

The interface between optical spectroscopy, electron magnetic resonance (EMR), and magnetism of transition ions forms the intricate web of interrelated notions. Major notions are the physical Hamiltonians, which include the crystal field (CF) (or equivalently ligand field (LF)) Hamiltonians, and the effective spin Hamiltonians (SH), which include the zero-field splitting (ZFS) Hamiltonians as well as to a certain extent also the notion of magnetic anisotropy (MA). Survey of recent literature has revealed that this interface, denoted CF (LF) ↔ SH (ZFS), has become dangerously entangled over the years. The same notion is referred to by three names that are not synonymous: CF (LF), SH (ZFS), and MA. In view of the strong need for systematization of nomenclature aimed at bringing order to the multitude of different Hamiltonians and the associated quantities, we have embarked on this systematization. In this article, we do an overview of our efforts aimed at providing a deeper understanding of the major intricacies occurring at the CF (LF) ↔ SH (ZFS) interface with the focus on the EMR-related problems for transition ions.

EMR-related problems at the interface between the crystal field Hamiltonians and the zero-field splitting Hamiltonians

Institute of Physics, West Pomeranian University of Technology, 17 Piastów Ave., 70-310 Szczecin, Poland; Since 1 March 2015 Visiting Professor, Faculty of Chemistry, Adam Mickiewicz University, 89B Umultowska Str., 61-614 Poznań, Poland

Faculty of Chemistry, University of Wrocław, 14 F. Joliot-Curie Str., 50-383 Wrocław, Poland

Nukleonika

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

The interface between optical spectroscopy, electron magnetic resonance (EMR), and magnetism of transition ions forms the intricate web of interrelated...

EMR-related problems at the interface between the crystal field Hamiltonians and the zero-field splitting Hamiltonians

Published Online: Aug 06, 2015

Page range: 377 - 383

Received: Apr 29, 2014

Accepted: Jan 30, 2015

DOI: https://doi.org/10.1515/nuka-2015-0067

Keywords
crystal/ligand field (CF/LF) Hamiltonian, electron magnetic resonance (EMR), magnetism, optical spectroscopy, transition (3 and 4) ions, zero-field splitting (ZFS)

© Czesław Rudowicz et al.

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

EMR-related problems at the interface between the crystal field Hamiltonians and the zero-field splitting Hamiltonians

Published Online: Aug 06, 2015

Page range: 377 - 383

Received: Apr 29, 2014

Accepted: Jan 30, 2015

DOI: https://doi.org/10.1515/nuka-2015-0067

Keywordscrystal/ligand field (CF/LF) Hamiltonian, electron magnetic resonance (EMR), magnetism, optical spectroscopy, transition (3 and 4) ions, zero-field splitting (ZFS)

© Czesław Rudowicz et al.

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
crystal/ligand field (CF/LF) Hamiltonian, electron magnetic resonance (EMR), magnetism, optical spectroscopy, transition (3 and 4) ions, zero-field splitting (ZFS)