Foreword……………………………………………………………………………………………1
Chapter 1 Magnetism of the rare-earth ions in crystals
1.1. Electronic structure and energy spectra of the “free” rare-earth ions.……………………………………………4
1.2. Paramagnetism of the “free” RE ions.……………………………………………………………………………6
1.3. Energy spectra and wavefunctions of Kramers and non-Kramers RE ions in the paramagnetic garnets and
orthoaluminates.……………………………………………………………………………………………………7
1.4. Influence of the symmetry of the crystal field on the magnetic susceptibility of RE ions in crystals.…………14
1.5. Ising RE ions and behavior of their magnetic features.…………………………………………………………20
References ……………………………………………………………………………………………………………28
Chapter 2 Optics of the 4f → 4f and 4f → 5d transitions in crystals
2.1. Optical properties of RE ions in crystals.…………………………………………………………………………31
2.2. Selection rules for the magnetic-dipole and electric-dipole optical transitions in RE ions in crystals.…………34
2.3. Theory of intensities of “forbidden” RE3+ electric-dipole 4f → 4f transitions in crystalline hosts.………………35
2.4. Modern experimental methods of measuring the 4f → 4f optical spectra of RE compounds:
site-selective polarized spectroscopy (SSPS) and “hot-band” spectroscopy.……………………………………45
2.5. Explanation regarding parity-allowed 4f → 5d optical transitions in RE ions within the framework of the
“strong-weak” crystalline field approximation.…………………………………………………………………54
References ……………………………………………………………………………………………………………59
Chapter 3 Magnetooptics of 4f → 4f and 4f → 5d transitions in crystals
3.1. Phenomenological theory of linear magnetooptical effects.………………………………………………………63
3.2. Microscopic theory of the linear magnetooptical effects in paramagnetic RE garnets associated with
allowed electric-dipole 4f → 5d transitions in the approximation of an “average” crystal field.………………66
3.3. The contribution of Van-Vleck mixing to the magnetooptics of the RE ions in crystals.………………………72
3.4. Faraday effect on the magnetic-dipole transitions in RE ions.……………………………………………………78
3.5. Features of the magnetic circular dichroism (MCD) and Faraday effect (FE) in RE compounds in the
approximation of a “strong-weak” crystalline field within the ultraviolet spectral range.………………………82
3.6. Group-theory consideration of the Faraday effect in RE orthoaluminates.………………………………………91
3.7. “Anti-Zeeman” effect in absorption spectra of terbium-gallium garnet TbGG in a magnetic field.……………96
References …………………………………………………………………………………………………………105
Chapter 4 Magnetooptics of the 4f → 4f radiative transitions in crystals
4.1. Theory of the radiative 4f → 4f transitions in the magnetooptics of RE ions in crystals.………………………109
4.2. Spectra of the degree of magnetic circular polarization luminescence (MCPL) of non-Kramers RE ions in the
garnet structure.…………………………………………………………………………………………………112
4.3. Spectra of the degree of magnetic circular polarization luminescence (MCPL) of Kramers RE ions in the
garnet structure.…………………………………………………………………………………………………120
4.4. The role of Van-Vleck mixing in the magnetooptics of radiative transitions in RE ions.………………………127
References …………………………………………………………………………………………………………135
Conclusion…………………………………………………………………………………………………………..137
References …………………………………………………………………………………………………………139