Cummings, A. and O'Sullivan, G. and 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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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:
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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