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On the correspondence between physical quantities for 4fN ions and crystal point groups

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Abstract

Crystalline-electric field parameters and normal modes of vibrations have been exemplified in regard to the number of observable physical quantities depending on the site symmetry of a central 4fN ion. The variations of these quantities with the order k of the 32 crystal point groups have been discussed. It has been found that the number of crystalline-electric field parameters change with k in asymmetric hyperbolic type while the maximum number of subgroups within the space of normal modes increase with k because crystal point groups with higher values of k result in more symmetry species of vibrations. Examples have been also given with maximums of phonon frequencies in dielectric crystals used as matrices doped with Ln3+ ions. In this case, a discontinuity exists in the middle of the order k of the crystal point groups.

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The datasets generated during and/or analysed during the current study are available from the corresponding author on reasonable request.

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Herewith, the authors declare that no funds, grants, or other support were received during the preparation of this manuscript.

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Authors and Affiliations

  1. Department of Physical Chemistry, Plovdiv University “Paisii Hilendarski”, 24, Tsar Asen Str, Plovdiv, 4000, Bulgaria

    Dimitar Nikolaev Petrov

  2. Department of Inorganic and Physical Chemistry, University of Food Technologies, Maritsa Boul, 26, Plovdiv, 4000, Bulgaria

    Bogdan Mihailov Angelov

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  1. Dimitar Nikolaev Petrov
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All authors contributed to the study conception and design. Material preparation, data collection and analysis were performed by Dimitar Nikolaev Petrov. The first draft of the manuscript was written by Bogdan Mihailov Angelov and all authors commented on previous versions of the manuscript. All authors read and approved the final manuscript.

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Correspondence to Dimitar Nikolaev Petrov.

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The authors Dimitar Nikolaev Petrov and Bogdan Mihailov Angelov have no relevant financial or non-financial interests to disclose.

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Petrov, D.N., Angelov, B.M. On the correspondence between physical quantities for 4fN ions and crystal point groups. Struct Chem 33, 1997–2002 (2022). https://doi.org/10.1007/s11224-022-01970-8

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