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    Multifractal analysis of selected rare-earth elements.

    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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    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
      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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