In this paper we study the splitting rules of energy spectra for two-dimensional Fibonacci-class quasilattices (FC(n)) with three kinds of atoms (A, B, and C) and one bond length by means of a decomposition-decimation method, and find that the sublattices of B atoms and C atoms are different...

The anisotropy spin-orbit coupling matrices for a d<Superscript>5</Superscript> configuration ion in a trigonal ligand-field have been established. On basis of the anisotropy spin-orbit coupling matrices, the ground state zero-field splitting of the Fe<Superscript>3+</Superscript> ions in ilmenite-structure MgTiO<Subscript>3</Subscript>:Fe<Superscript>3+</Superscript> system has been studied. The...</superscript></subscript></superscript></superscript>