LANDOLT-BÖRNSTEIN. Zahlenwerte und Funktionen aus Naturwissenschaften und Technik. Neue Serie. Gesamtherausgabe: K.-H. Hellwege

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1 62042 LANDOLT-BÖRNSTEIN Zahlenwerte und Funktionen aus Naturwissenschaften und Technik Neue Serie Gesamtherausgabe: K.-H. Hellwege Gruppe III: Kristall- und Festkörperphysik Band 4 Magnetische und andere Eigenschaften von Oxiden und verwandten Verbindungen Teil a J. B. Goodenough W.Gräper F.Holtzberg D.L. Huber R.A.Lefever J.M. Longo T.R.McGuire S.Methfessel Herausgeber: K.-H. Hellwege und A.M. Hellwege Springer-Verlag Berlin Heidelberg New York 1970

2 Table of Contents Inhaltsverzeichnis 1 Fe oxides and Fe-Me-O Compounds By R. A. LEFEVER, Sandia Corporation, Albuquerque, N. M., USA 1.0 Introduction Einleitung Arrangement of tables and figures Anordnung der Tabellen und Abbildungen General remarks Allgemeine Bemerkungen List of Symbols and abbreviations Fe oxides Wüstite Fe^O and wüstite with substitutions References for Hematite <x-fe and hematite with substitutions References for Maghemite y-fe References for Fe-Me-O Compounds References for Compounds with lanthanide and actinide elements of some special structure types Lanthaniden- und Aktiniden-Verbindungen einiger spezieller Strukturtypen ByF. HOLTZBERG, T.R.MCGUIRE, IBM, Thomas J.Watson Research Center, Yorcktown Heights, N.Y.,USA, and S. METHFESSEL, Institut für Experimentalphysik, Ruhr-Universität Bochum, Germany 2.0 Preface Vorwort Rare earth Compounds with elements of group V (N, P, As, Sb, Bi) Verbindungen Seltener Erden mit Elementen der Gruppe V (N, P, As, Sb, Bi) Introduction Einleitung NaCl-type Compounds Crystallographic, magnetic, and electrical properties of NaCl-type Compounds Molecular field exchange parameters J t and J Crystallographic, magnetic, and electrical properties of Compounds with inverted Th 3 P 4 -structure Crystallographic, magnetic, and electrical properties of Compounds with miscellaneous structures Rare earth Compounds with elements of group VI (O, S, Se, Te) Verbindungen Seltener Erden mit Elementen der Gruppe VI (O, S, Se, Te) Introduction Einleitung NaCl-type Compounds Crystallographic, magnetic, optical, and electrical properties of NaCl-type Compounds with divalent rare earth elements Exchange constants, hyperfine fields, anisotropies, and pressure dependence 0 in Eu chalcogenides Crystallographic, magnetic, optical, and electrical properties of NaCl-type Compounds with trivalent rare earth elements Crystallographic, magnetic, and electrical properties of ternary Systems with NaCl-type structure Th 3 P 4 -type Compounds Crystallographic, magnetic, electrical, and optical properties of Compounds with Th 3 P -type structure (I43d-T ) Crystallographic, magnetic, and electrical properties of ternary Compounds with Th 3 P 4 -type structure (I43d-T<j) 94

3 VIII Inhaltsverzeichnis Crystallographic, magnetic, and electrical properties of trivalent oxides with Mn structure Crystallographic, magnetic, and electrical properties of miscellaneous Compounds References for 2.1 and Actinide Compounds with elements of group V (N, P, As, Sb, Bi) Verbindungen der Aktiniden mit Elementen der Gruppe V (N, P, As, Sb, Bi) Introduction Einleitung Crystallographic, magnetic, and electrical properties of NaCl-type Compounds Crystallographic, magnetic, and electrical properties of Compounds with miscellaneous structures Actinide Compounds with elements of group VI (O, S, Se, Te) Verbindungen der Aktiniden mit Elementen der Gruppe VI (O, S, Se, Te) Introduction Einleitung Crystallographic, magnetic, and electrical properties of NaCl-type Compounds Crystallographic, magnetic, and electrical properties of Compounds with miscellaneous structures References for 2.4 and Crystallographic and magnetic properties of perovskite and perovskite-related Compounds By J. B. GOODENOUGH and J. M. LONGO, Massachusetts Institute of Technology, Lincoln Laboratory, Lexington, Mass., USA 3.0 Introduction Einleitung General remarks Allgemeines Symbols and units used in tables and figures Descriptions of stoiehiometric ABX 3 and M C XM structures The ideal perovskite structure The influence of relative ionic sizes Tolerance factor O-orthorhombic structure Rhombohedral structures The influence of localized-electron ordering Crystal-field theory Jahn-Teller distortions Spin-orbit coupling The influence of collective-electron ordering Band theory Distortions due to B-X bonding Distortions due to core polarization: Pb 2 + and Bi Competitive phases Structures encountered with ordered B, B' cations Same B atom Different B atoms Complex alloys A 2 BB'X 6, where B = M 13, B' = M First-order magnetic transition in M XMjj perovskites Data: Crystallographic properties of ABX 3, A 2 BB'X 6, A 3 B 2 BX 9 and A(B x B^Bj')X 3 Compounds with perovskite or perovskite-related structure (Tab. 2) Descriptions of perovskite-related structures A-cation vacancies No A cations The bronze structures Anion-deficient Compounds Compounds ABX 3 _j Alloys M-X^M^ Shear structures DBO« Structures deficient in B cations Bismuth Compounds Hexagonal A n B n _!X 3 structures AX-(ABX S ) structures Data: Crystallographic properties of non-abx 3 Compounds of composition A^BXg, DBX 3, (AX) n (ABX) m and Bi (A re _ 1 B 0 3 +l ) with perovskite-related structure (Tab. 4)

4 Table of contents IX 3.3 Magnetic order: localized electrons Phenomenological exchangc Hamiltonian Microscopic modeis Isotropie superexchange Double exchange Anisotropie superexchange Weak ferromagnetism Definition Anisotropy considerations Antisymmetric superexchange Data: Magnetic properties of perovskite and perovskite-related Compounds (Tab. 6) Localized versus collective electrons Introduction Integral n t Construction of an electronic phase diagram Distinguishing physical properties imparted by different electronic phases Nonintegral n t = 1 =F c Energy diagrams for ABX 3 perovskites The M«XM alloys Discussion of results Data: Magnetic and crystallographic properties of M C XM or M 3 M'X, and Cr 23 C 6 Compounds (Tab. 9) Crystallographic properties (Tab. 9a) Magnetic properties (Tab. 9b) References Yttrium and rare earth iron garnets By D. L. HUBER, The University of Wisconsin, Department of Physics, Madison, Wis., USA 4.0 Introduction Einleitung General remarks Allgemeine Hinweise List of Symbols Spontaneous magnetic moments 319 A. Yttrium and rare earth iron garnets 319 B. Substituted iron garnets Magnetic susceptibility data 323 A. Static paramagnotic susceptibility data for yttrium and rare carth iron garnets above the ordering temperature 323 B. Magnetic susceptibility of yttrium iron garnet and rare carth ions in the rare earth iron garnets below the Curie temperature 324 C. Permeability spectra of yttrium and rare earth iron garnets Molecular field constants and exchange integrals in yttrium and rare earth iron garnets A. Yttrium iron garnet 326 B. Rare earth ions in the iron garnet 326 C. Volume dependence of the molecular field constants 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 Gyromagnetic ratios 330 A. Effective and apparent g-factors of ferrimagnetic garnets 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 D. Anisotropy peaks 334 E. Dynamic shift 334

5 X Inhaltsverzeichnis 4.7 Ferrimagnetic loss parameters 335 A. Small signal ferrimagnetic resonance linewidths 335 B. High power effects Relaxation mechanisms for rare earth ions in the iron garnets 340 A. Theory 340 B. Comparison with experiment 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 earth iron garnets 342 D. Exchange stiffness of lutecium iron garnet 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 Mechanical and magnetomechanical properties of magnetic garnets 345 A. Elastic properties of garnets 345 B. Magnetoelastic properties of the iron garnets 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 conduetivity of YIG Nuclear magnetic resonance in the iron garnets 351 A. Resonance frequencies co of Fe 57 in yttrium, lutecium, and rare earth iron garnets B. Quadrupole coupling constants of Fe 57 in yttrium, lutecium, and rare earth iron garnets. 352 C. Nuclear relaxation of Fe 57 in YIG Crystal field parameters for the rare earth sites 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 References Literature (W. GRÄPER) 360