The theory of Cr3+ pairs of D3h symmetry
A novel approach to the problem of describing interacting magnetic ions has been put forward by Stevens. The work contained herein offers the first major test of the new formalism; applied specifically to binuclear systems in which magnetic Cr3+ ions occur in discrete pairs of D3h symmetry. Each int...
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| Format: | Thesis (University of Nottingham only) |
| Language: | English |
| Published: |
1981
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| Online Access: | https://eprints.nottingham.ac.uk/11413/ |
| _version_ | 1848791271572766720 |
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| author | Barry, Kevin Richard |
| author_facet | Barry, Kevin Richard |
| author_sort | Barry, Kevin Richard |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | A novel approach to the problem of describing interacting magnetic ions has been put forward by Stevens. The work contained herein offers the first major test of the new formalism; applied specifically to binuclear systems in which magnetic Cr3+ ions occur in discrete pairs of D3h symmetry.
Each interacting pair is regarded as a unit; wavefunctions suitable for describing the pair are constructed in determinantal form. The wavefunctions of D3h symmetry are used to define the unperturbed Hamiltonian. An effective Hamiltonian is then used to obtain the energy levels in a restricted energy range. (The region of the 2TI levels of the single Cr3+ ion). A set of selection rules is derived.
With direct comparison with experimental results the success of theoretical predictions is estimated. Certain interval relations are obtained. There is no first order spin-orbit splitting. Through second order perturbation the maximum values of the spin-orbit coupling constant are found for three materials. The theoretical Zeeman splittings are stated. |
| first_indexed | 2025-11-14T18:25:52Z |
| format | Thesis (University of Nottingham only) |
| id | nottingham-11413 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T18:25:52Z |
| publishDate | 1981 |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-114132025-02-28T11:13:15Z https://eprints.nottingham.ac.uk/11413/ The theory of Cr3+ pairs of D3h symmetry Barry, Kevin Richard A novel approach to the problem of describing interacting magnetic ions has been put forward by Stevens. The work contained herein offers the first major test of the new formalism; applied specifically to binuclear systems in which magnetic Cr3+ ions occur in discrete pairs of D3h symmetry. Each interacting pair is regarded as a unit; wavefunctions suitable for describing the pair are constructed in determinantal form. The wavefunctions of D3h symmetry are used to define the unperturbed Hamiltonian. An effective Hamiltonian is then used to obtain the energy levels in a restricted energy range. (The region of the 2TI levels of the single Cr3+ ion). A set of selection rules is derived. With direct comparison with experimental results the success of theoretical predictions is estimated. Certain interval relations are obtained. There is no first order spin-orbit splitting. Through second order perturbation the maximum values of the spin-orbit coupling constant are found for three materials. The theoretical Zeeman splittings are stated. 1981 Thesis (University of Nottingham only) NonPeerReviewed application/pdf en arr https://eprints.nottingham.ac.uk/11413/1/238000.pdf Barry, Kevin Richard (1981) The theory of Cr3+ pairs of D3h symmetry. PhD thesis, University of Nottingham. |
| spellingShingle | Barry, Kevin Richard The theory of Cr3+ pairs of D3h symmetry |
| title | The theory of Cr3+ pairs of D3h symmetry |
| title_full | The theory of Cr3+ pairs of D3h symmetry |
| title_fullStr | The theory of Cr3+ pairs of D3h symmetry |
| title_full_unstemmed | The theory of Cr3+ pairs of D3h symmetry |
| title_short | The theory of Cr3+ pairs of D3h symmetry |
| title_sort | theory of cr3+ pairs of d3h symmetry |
| url | https://eprints.nottingham.ac.uk/11413/ |