“…However, knowledge about the energy structure, spectroscopic parameters, and symmetry of the wave functions for a number of high-energy levels of the Dy 3+ ion in the orthorhombic structure of orthoaluminate (E ≥ 10 000 cm -1 ) remains until now quite limited. The circumstance plays an important role that for the optical spectra of this rare-earth compound (also of TbAlO 3 [3], Er x Y 1-x AlO 3 , Ho x Y 1-x AlO 3 [4], etc. ), measured along the different crystallographic directions of the orthorhombic crystal, both the number of absorption lines under observation and their intensities are very often in disagreement with theoretical predictions [5][6][7].…”