Landolt-Brnstein Group III
: Condensed Matter
Volume 27 

Magnetic Properties of Non-Metallic Inorganic Compounds Based on Transition Elements 
Subvolume E Garnets 
Introductory material
4 
Magnetic properties of garnets 1

4.1 
Iron garnets (P. NOVAK) 1

4.1.1 
Introduction 1

4.1.1.1 
General remarks 1

4.1.1.2 
List of frequently used symbols and abbreviations 1

4.1.2 
Magnetic properties 4

4.1.2.1 
Magnetic moments and molecular field data 4

4.1.2.1.1 
Saturation magnetization and Curie temperature 4

4.1.2.1.2 
Molecular-field- and exchange constants 18

4.1.2.1.3 
Magnetic moments of the rare earth ions 20

4.1.2.2 
Magnetic phase transitions 21

4.1.2.2.1 
Spontaneous spin-reorientational transitions 22

4.1.2.2.2 
Field induced transitions 23

4.1.2.3 
Magnetocrystalline anisotropy 25

4.1.2.3.1 
Cubic anisotropy 25

4.1.2.3.2 
Non-cubic anisotropy 31

4.1.2.4 
Ferromagnetic resonance (FMR) 39

4.1.2.4.1 
Resonance field 39

4.1.2.4.2 
FMR line width 40

4.1.2.4.3 
g-factor 43

4.1.2.5 
Spin waves, magnetostatic modes and relaxation 45

4.1.2.5.1 
Spin waves and magnetostatic modes 45

4.1.2.5.2 
Non-linear effects and relaxation 46

4.1.2.6 
Nuclear magnetic resonance (NMR) 49

4.1.2.7 
Mssbauer spectroscopy 51

4.1.2.8 
Magnetic domains (stripe and bubble domains) 53

4.1.2.8.1 
Static properties 53

4.1.2.8.2 
Dynamic properties 58

4.1.3 
Magnetoelastic properties 60

4.1.3.1 
Magnetostriction 60

4.1.3.2 
Magnetoelastic waves 63

4.1.4 
Elastic properties 63

4.1.5 
Optical and magnetooptical properties 64

4.1.5.1 
Optical properties 65

4.1.5.1.1 
Absorption of light 65

4.1.5.1.2 
Reflection of light 73

4.1.5.1.3 
Refractive index 75

4.1.5.2 
Magnetooptical properties 77

4.1.5.2.1 
Faraday rotation 77

4.1.5.2.2 
Magnetic circular dichroism (MCD) 93




4.1.5.2.3 Kerr effects 100 
4.1.5.2.4 Magnetic linear birefringence (MLB) and nonmagnetic linear birefringence 102

4.1.5.2.5 Magnetic linear dichroism (MLD) 103

4.1.5.3 
4.1.6 
4.1.7 
4.1.7.1 
4.1.7.2 
4.1.8 
4.1.9 
4.1.10 
4.2 
4.2.1 
4.2.1.1 
4.2.1.2 
4.2.2 
4.2.2.1 
4.2.2.2 
4.2.3 
4.2.3.1 
4.2.3.2 
4.2.3.3 
4.2.3.4 
4.2.3.5 
4.2.3.6 
4.2.4 
4.2.4.1 
4.2.4.2 
4.2.4.3 
4.2.4.4 
4.2.4.5 
4.2.5 
4.2.5.1 
4.2.5.2 
4.2.5.3 
4.2.5.4 
4.2.5.5 
4.2.6 
4.2.7 
4.2.8 
4.2.8.1 
4.2.8.2 
4.2.8.3 
4.2.8.4 
4.2.8.5 
4.2.8.6 
4.2.8.7 
4.2.9 
Photoinduced effects 104
Thermal properties 106
Electrical properties 107
Electrical conductivity 107
Magnetoresistance and magnetoelectric effect 110
Crystal structure 111
References for 4.1 113
List of iron garnets in Vols. 4A, 4B, 12A and 27E 123

Non-iron garnets (Z.A. KAZEI, N.P. KOLMAKOVA, V.I. SOKOLOV) 136
Introduction 136
General remarks 136
List of frequently used symbols and abbreviation 136
Magnetic susceptibility 140
Rare earth garnets 140
3d-ion garnets 143
Magnetization and magnetic structure 148
Magnetic moments and magnetic anisotropies of terbium, dysprosium and holmium 149
aluminum garnets
Magnetic moments of rare earth gallium garnets 151
Magnetic neutron scattering in dysprosium aluminum garnets 153
Magnetic neutron scattering in terbium, holmium and dysprosium gallium garnets 156
Magnetization and magnetic phase transitions in manganese germanium garnets 157
Garnets with several 3d-ions 160
Results of magnetic resonance experiments 162
Electron paramagnetic resonance of paramagnetic metal ions in diamagnetic garnets 162
Electron paramagnetic resonance of rare earth ions in diamagnetic garnets 164
Electron paramagnetic resonance of impurities in paramagnetic garnets 166
Nuclear magnetic resonance 167
Antiferromagnetic resonance 167
Optical and magnetooptical properties 169
Crystal-field parameters 169
Optical spectra and index of refraction 171
Information on colour centres 186
Further references for results from optical measurements 190
Magnetooptical properties 197
Mssbauer spectroscopy 202
Electron spin-lattice relaxation of paramagnetic ions in garnets 205

Thermal properties Heat capacity Derived thermodynamic functions Debye temperature Thermal expansion Kapitza conductance Thermal conductivity Ultrasound attenuation Elastic and photoelastic properties 
207
207
215
218
219
222
223
227
230

4.2.9.1 
Elastic and photoelastic constants at room temperature 230

4.2.9.2 
Temperature dependences 231

4.2.10 
Magnetostriction 232

4.2.10.1 
Magnetostriction of rare earth garnets 232

4.2.10.2 
Magnetostriction of antiferromagnetic garnets with 3d-ions 235

4.2.11 
Electrical properties 237

4.2.11.1 
Electrical conductivity and thermoelectric power 238

4.2.11.2 
Photoconductivity 242

4.2.12 
References for 4.2 243

4.2.13 
List of non-iron garnets in Vols. 4B, 12A and 27E 253


