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Cummings, A., O'Sullivan, G., Hanan, W.G. and Heffernan, Daniel (2001) Multifractal analysis of selected rare-earth elements. Journal of Physics B: Atomic, Molecular and Optical Physics, 34 (13). pp. 2547-2573.
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Official URL: http://iopscience.iop.org/journal/0953-4075
Abstract
The multifractal formalism is applied to the energy eigenvalues of Ce I, CeII,
Nd II, SmI, SmII, and Tb I. The R´enyi dimensionsDq , mass exponents τ(q) and
f (α) spectra are calculated and used to characterize the eigenvalue spectra. It is
found that these elements show multi-scaling behaviour that can be accurately
modelled by simple multifractal recursive Cantor sets. The effect of unfolding
the spectra is also investigated.
| Item Type: | Article |
|---|---|
| Keywords: | multifractal analysis; rare-earth elements; |
| Academic Unit: | Faculty of Science and Engineering > Mathematical Physics |
| Item ID: | 9704 |
| Depositing User: | Prof. Daniel Heffernan |
| Date Deposited: | 20 Jul 2018 09:11 |
| Journal or Publication Title: | Journal of Physics B: Atomic, Molecular and Optical Physics |
| Publisher: | IOP Science |
| Refereed: | Yes |
| URI: | https://mural.maynoothuniversity.ie/id/eprint/9704 |
| Use Licence: | This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available here |
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