Landolt-Brnstein Group III: Condensed Matter 
Volume 4 Magnetic and Other Properties of Oxides and Related Compounds 
Subvolume A 
Part A  
Introductory material  
1  Fe oxides and Fe-Me-O compounds (R.A. Lefever)  1  
1.0  Introduction  1  
1.0.1  Arrangement of tables and figures  1  
1.0.2  General remarks  1  
1.0.3  List of symbols and abbreviations  2  
1.1  Fe oxides  3  
1.1.1  Wstite FexO and wstite with substitutions  3  
1.1.1.1  References for 1.1.1  7  
1.1.2  Hematite alpha-Fe2O3 and hematite with substitutions  8  
1.1.2.1  References for 1.1.2  16  
1.1.3  Maghemite gamma-Fe2O3  18  
1.1.3.1  References for 1.1.3  20  
1.2  Fe-Me-O compounds  21  
1.2.1  References for 1.2  38  
2  Compounds with lanthanide and actinide elements of some special structure types  41  
(F. Holtzberg, T.R. McGuire, S. Methfessel)  
2.0  Preface  41  
2.1  Rare earth compounds with elements of group V (N, P, As, Sb, Bi)  44  
2.1.0  Introduction  44  
2.1.1  NaCl-type compounds  46  
2.1.1.1  Crystallographic, magnetic, and electrical properties of NaCl-type compounds  47  
2.1.1.2  Molecular field exchange parameters J1 and J2  51  
2.1.2  Crystallographic, magnetic, and electrical properties of compounds with inverted Th3P4 - 61  
structure  
2.1.3  Crystallographic, magnetic, and electrical properties of compounds with miscellaneous  61  
structures  
2.2  Rare earth compounds with elements of group VI (O, S, Se, Te)  64  
2.2.0  Introduction  64  
2.2.1  NaCl-type compounds  66  
2.2.1.1  Crystallographic, magnetic, optical, and electrical properties of compounds with divalent  67  
rare earth elements  
2.2.1.2  Exchange constants, hyperfine fields, anisotropies, and pressure dependence of Curie  70  
temperature in Eu chalcogenides  
2.2.1.3  Crystallographic, magnetic, optical, and electrical properties of compounds with trivalent  71  
rare earth elements  
2.2.1.4  Crystallographic, magnetic, and electrical properties of ternary systems with NaCl-type  86  
structure  
2.2.2  Th3P4-type compounds  89  
2.2.2.1  Crystallographic, magnetic, electrical, and optical properties of compounds with Th3P4 - 90  
type structure  
2.2.2.2  Crystallographic, magnetic, and electrical properties of ternary compounds with Th3P4 - 94  
type structure  

2.2.3 
2.2.4 
2.3 
2.4 
2.4.0 
2.4.1 
2.4.2 
2.5 
2.5.0 
2.5.1 
2.5.2 
2.6 
3

Crystallographic, magnetic, and electrical properties of trivalent oxides with Mn2O3 94

structure
Crystallographic, magnetic, and electrical properties of miscellaneous compounds 99

References for 2.1 and 2.2 105

Actinide compounds with elements of group V (N, P, As, Sb, Bi) 110

Introduction 110

Crystallographic, magnetic, and electrical properties of NaCl-type compounds 111

Crystallographic, magnetic, and electrical properties of compounds with miscellaneous 114

structures
Actinide compounds with elements of group VI (O, S, Se, Te) 116

Introduction 116

Crystallographic, magnetic, and electrical properties of NaCl-type compounds 117

Crystallographic, magnetic, and electrical properties of compounds with miscellaneous 120

structures
References for 2.4 and 2.5 125

Crystallographic and magnetic properties of perovskite and perovskite-related 126

compounds (J.B. Goodenough, M. Longo)
Introduction 126

General remarks 126

Symbols and units used in tables and figures 129

Descriptions of stoichiometric ABX3 and McXMf3 structures 131

The ideal perovskite structure 131

The influence of relative ionic sizes 132

Tolerance factor 132

O-orthorhombic structure 134

Rhombohedral structures 135

The influence of localized-electron ordering 136

Crystal-field theory 136

Jahn-Teller distortions 140

Spin-orbit coupling 141

The influence of collective-electron ordering 142

Band theory 142

Distortions due to B-X bonding 142

Distortions due to core polarization: Pb2+ and Bi3+ 144

Competitive phases 145

Structures encountered with ordered B, B' cations 146

Same B atom 146

Different B atoms 146

Complex alloys A2BB'X6 where B = M13 B' = M6 147

First-order magnetic transition in McXMf3 perovskites 147

Data: Crystallographic properties of compounds with perovskite or perovskite-related 148

structure
Descriptions of perovskite-related structures
A-cation vacancies
No A cations
The bronze structures
Anion-deficient compounds
Compounds ABX3-x
Alloys McX1-xMf3

190 
190 
190 
190 
191 
191 
192 




3.2.2.3 
Shear structures [ ]BO3-x	192

3.2.3 
Structures deficient in B cations	192

3.2.3.1 
Bismuth compounds	192

3.2.3.2	
Hexagonal AnBn-1X3n structures 193

3.2.3.3	
AX(ABX3)n structures 193

3.2.4	
Data: Crystallographic properties of non-ABX3 compounds with perovskite-related 193

structure

3.3	
Magnetic order: localized electrons 207

3.3.1	
Phenomenological exchange Hamiltonian 207

3.3.2	
Microscopic models 208

3.3.2.1	
Isotropic superexchange 208

3.3.2.2	
Double exchange 211

3.3.2.3	
Anisotropic superexchange 212

3.3.3	
Weak ferromagnetism 212

3.3.3.1	
Definition 212

3.3.3.2	
Anisotropy considerations 212

3.3.3.3	
Antisymmetric superexchange 213

3.3.4	
Data: Magnetic properties of perovskite and perovskite-related compounds 214

3.4	
Localized versus collective electrons 255

3.4.1	
Introduction 255

3.4.2	
Integral nl 255

3.4.2.1	
Construction of an electronic phase diagram 255

3.4.2.2	
Distinguishing physical properties imparted by different electronic phases 256

3.4.3	
Nonintegral nl = 1  c 259

3.4.4	
Energy diagrams for ABX3 perovskites 261

3.5	
The McXMf3 alloys 263

3.5.1	
Discussion of results 263

3.5.2	
Data: Magnetic and crystallographic properties of McXMf3 or M3M'X, and Cr23C6 266

compounds (Tab. 9)

3.5.2.1	
Crystallographic properties (Tab. 9a) 266

3.5.2.2	
Magnetic properties (Tab. 9b) 269

3.6	
References 275

4	
Yttrium and rare earth iron garnets (D.L. Huber) 315

4.0	
Introduction 315

4.0.1	
General remarks 315

4.0.2	
List of symbols 317

4.1	
Spontaneous magnetic moments 319

A. 
Yttrium and rare earth iron garnets	319

B. 
Substituted iron garnets	320



4.2	
Magnetic susceptibility data 323

A. 
Static paramagnetic susceptibility above the ordering temperature	323

B. 
Magnetic susceptibility of below the Curie temperature	324

C. 
Permeability spectra	325



4.3	
Molecular field constants and exchange integrals in yttrium and rare earth iron garnets 326

A. 
Yttrium iron garnet	326

B. 
Rare earth ions in the iron garnet	326

C. 
Volume dependence of the molecular field constants	327



4.4	
Crystallographic and structural data 327

A. 
The locations of ions in the unit cell of the garnet lattice 327

B. 
Oxygen and thermal parameters of yttrium iron garnet 328

C. 
Interionic spacings and angles in yttrium iron garnet 328

D. 
Lattice parameters and densities of garnet systems 329



4.5 
Gyromagnetic ratios 330

A. 
Effective and apparent g-factors of ferrimagnetic garnets 330

4.6 
Magnetocrystalline anisotropy and field for resonance 331

A. 
Anisotropy constants from torque measurements 331

B. 
Anisotropy constants from ferrimagnetic resonance experiments 331

C. 
Effect of rare earth impurities on the field for resonance in YIG at low temperatures 332

D. 
Anisotropy peaks 334

E. 
Dynamic shift 334



4.7 
Ferrimagnetic loss parameters 335

A. 
Small signal ferrimagnetic resonance linewidths 335

B. 
High power effects 339



4.8 
Relaxation mechanisms for rare earth ions in the iron garnets 340

A. 
Theory 340

B. 
Comparison with experiment 340



4.9 
Spin wave spectra of the iron garnets 341

A. 
Spin wave spectrum of YIG 341

B. 
Spin wave lifetimes in YIG 341

C. 
Spin wave spectra of the rare earths iron garnets 342

D. 
Exchange stiffness of lutecium iron garnet 342



4.10 
Optical properties of magnetic garnets 342

A. 
Absorption coefficients of yttrium and rare earth iron garnets 342

B. 
Faraday rotation in yttrium and rare earth iron garnets 344

C. 
Refractive index of YIG 345



4.11 
Mechanical and magnetomechanical properties of magnetic garnets 345

A. 
Elastic properties of garnets 345

B. 
Magnetoelastic properties of the iron garnets 346



4.12 
Thermal properties of the iron garnets 348

A. 
Specific heat of YIG 348

B. 
Specific heat of the rare earth iron garnets 349

C. 
Thermal conductivity of YIG 351



4.13 
Nuclear magnetic resonance in the iron garnets 351

A. 
Resonance frequencies omega of Fe57 in yttrium, lutecium, and rare earth iron 351

garnets

B. 
Quadrupole coupling constants of Fe57 in yttrium, lutecium, and rare earth iron 352

garnets

C. 
Nuclear relaxation of Fe57 in YIG 352



4.14 
Crystal field parameters for the rare earth sites 353

4.15 
Miscellaneous properties of magnetic garnets 353

A. 
Electrical resistivity of YIG 353

B. 
Magnetostatic modes in YIG 353

C. 
Behavior of YIG near the critical point 354



4.16 
References 354

4.17 
Literature 1966 - 1969 (W. Grper) 360


3.0 
3.0.1 
3.0.2 
3.1 
3.1.1 
3.1.2 
3.1.2.1 
3.1.2.2 
3.1.2.3 
3.1.3 
3.1.3.1 
3.1.3.2 
3.1.3.3 
3.1.4 
3.1.4.1 
3.1.4.2 
3.1.4.3 
3.1.4.4 
3.1.5 
3.1.5.1 
3.1.5.2 
3.1.5.3 
3.1.6 
3.1.7 
3.2 
3.2.1 
3.2.1.1 
3.2.1.2 
3.2.2 
3.2.2.1 
3.2.2.2 

