Spin Symmetry in Polynuclear Exchange-Coupled Clusters

Author:

Boča Roman1ORCID,Rajnák Cyril2ORCID,Titiš Ján2

Affiliation:

1. Faculty of Health Science, University of SS Cyril and Methodius, 91701 Trnava, Slovakia

2. Faculty of Natural Sciences, University of SS Cyril and Methodius, 91701 Trnava, Slovakia

Abstract

The involvement of spin symmetry in the evaluation of zero-field energy levels in polynuclear transition metal and lanthanide complexes facilitates the division of the large-scale Hamiltonian matrix referring to isotropic exchange. This method is based on the use of an irreducible tensor approach. This allows for the fitting of the experimental data of magnetic susceptibility and magnetization in a reasonable time for relatively large clusters for any coupling path. Several examples represented by catena-[AN} and cyclo-[AN] systems were modeled. Magnetic data for 20 actually existing endohedral clusters were analyzed and interpreted.

Publisher

MDPI AG

Subject

Materials Chemistry,Chemistry (miscellaneous),Electronic, Optical and Magnetic Materials

Reference63 articles.

1. On the Paramagnetic Susceptibilities of Some Polynuclear Complex Salts;Kambe;J. Phys. Soc. Jpn.,1950

2. Kahn, O. (1993). Molecular Magnetism, VCH.

3. Rose, M.E. (1957). Elementary Theory of Angular Momentum, Wiley.

4. Fano, U., and Racah, G. (1959). Irreducible Tensorial Sets, Academic Press.

5. Griffith, J.S. (1962). The Irreducible Tensor Method for Molecular Symmetry Group, Prentice-Hall.

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