Terminological confusions and problems at the interface between the crystal field Hamiltonians and the zero-field splitting Hamiltonians—Survey of the CF=ZFS confusion in recent literature

2014 ◽  
Vol 451 ◽  
pp. 134-150 ◽  
Author(s):  
Czesław Rudowicz ◽  
Mirosław Karbowiak
Keyword(s):  
Crystal Field ◽  
Recent Literature ◽  
Zero Field ◽  
Zero Field Splitting ◽  
Field Splitting

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

Nukleonika ◽  
2015 ◽  
Vol 60 (3) ◽  
pp. 377-383
Author(s):  
Czesław Rudowicz ◽  
Mirosław Karbowiak
Keyword(s):  
Magnetic Resonance ◽  
Magnetic Anisotropy ◽  
Crystal Field ◽  
Recent Literature ◽  
Ligand Field ◽  
Zero Field ◽  
Zero Field Splitting ◽  
Field Splitting ◽  
Effective Spin ◽  
Spin Hamiltonians

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.

Crystal field levels and zero-field splitting parameters of Cr2+ in the mixed system Rb2MnxCr1−xCl4

1993 ◽  
Vol 191 (3-4) ◽  
pp. 323-333 ◽  
Author(s):  
Czeslaw Rudowicz ◽  
Maolu Du ◽  
Yau-yuen Yeung ◽  
Yi-yang Zhou
Keyword(s):  
Crystal Field ◽  
Mixed System ◽  
Zero Field ◽  
Zero Field Splitting ◽  
Field Splitting

scholarly journals Analytical Investigations of Spin-Spin, Spin-Other-Orbit and Combined Mechanisms of Zero-Field Splitting for 3d3 Ions at Trigonal Symmetry

2009 ◽  
Vol 64 (9-10) ◽  
pp. 646-652
Author(s):  
Qun Wei
Keyword(s):  
Crystal Field ◽  
Magnetic Interaction ◽  
New Method ◽  
Zero Field ◽  
Zero Field Splitting ◽  
Field Splitting ◽  
Trigonal Symmetry ◽  
Diagonalization Method ◽  
Crystal Field Parameters ◽  
Analytical Expressions

A new method of obtaining approximate analytical expressions of zero-field splitting (ZFS) has been proposed. By analyzing the magnetic interaction mechanisms which affect the properties of ZFS of ground 4A2 state for 3d3 ions at trigonal symmetry, and comparing with the calculated results of complete diagonalization method, the approximate analytical expressions of the contribution to zero-field splitting of 4A2 state from spin-spin (SS), spin-other-orbit (SOO), and combined mechanisms have been obtained. Also the applicability of these approximate analytical expressions has been analyzed. It is shown that the approximate analytical expressions are suitable in a wide crystal field parameters range.

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