The maximal axial parameters in equivalent parametrizations of crystal-field Hamiltonians of tetragonal and cubic symmetries
| dc.creator | Mulak, Jacek | |
| dc.creator | Mulak, Maciej | |
| dc.creator | Gonczarek, Ryszard | |
| dc.date | 2006-07-13 | |
| dc.date.accessioned | 2026-07-07T07:15:59Z | |
| dc.date.available | 2026-07-07T07:15:59Z | |
| dc.description | The variation ranges of the axial B_{k0} crystal-field parameters, for k=2,4,6, of tetragonal including cubic crystal-field Hamiltonians H_{CF} for all possible orientations of the relevant reference frame are studied. The distinguished z-axis directions fixed by the maximal absolute values of B_{k0} are analyzed. The diagrams for any tetragonal H_{CF} parametrization depicting the maximal values of |B_{k0}|/M_{k}, where M_{k} is the 2^{k}-pole modulus, as a function of the x=B_{k4}/B_{k0} or B_{64}/B_{60} ratios, together with the distinguished directions are presented. The max|B_{k0}|/M_{k} magnitudes and the relevant distinguished directions are the discriminants of all the equivalent parametrizations. They vary within the intervals (0.7395,1], (0.6074,1] for tetragonal k=4 and tetragonal k=6 H_{CF} components, respectively. Such specified directions determine the mutual spatial orientation of the component 2^{k}-poles of the H_{CF}, and due to their rigid coupling in the H_{CF}, they also refer to the global H_{CF} parametrization. This approach demonstrates the difference in fitting capability between the real and complex isomodular H_{CF} parametrizations. | |
| dc.description | LaTex2e, 24 pages with 11 Postscript figures; short version submitted to pss(b; The paper presents a general idea on the limitations imposed on the maximal axial parameters for the high symmetry crystal-field Hamiltonians. It may be helpful for standardization of crystal-field parametrizations | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0607347 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0607347 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/113423 | |
| dc.subject | Materials Science | |
| dc.title | The maximal axial parameters in equivalent parametrizations of crystal-field Hamiltonians of tetragonal and cubic symmetries | |
| dc.type | text |