Introduction / 1: |
Outline of the book / 1.1: |
Basic properties of the neutron and numerical relations / 1.2: |
Definitions of scattering cross sections / 1.3: |
Elastic differential SANS cross section / 1.4: |
Nuclear SANS cross section / 1.4.1: |
Magnetic SANS cross section / 1.4.2: |
Diffraction versus refraction / 1.5: |
Origin of magnetic SANS: relation to magnetic microstructure / 1.6: |
Origins of inhomogeneous magnetization states / 1.6.1: |
Example: uniform versus nonuniform sphere / 1.6.2: |
Basics of SANS / 2: |
Description of the SANS setup / 2.1: |
Elementary considerations of resolution / 2.2: |
Influence of inelastic SANS / 2.3: |
Summary of the basics of nuclear SANS / 2.4: |
Coherent and incoherent nuclear scattering / 2.4.1: |
Spin-polarized nuclei and polarized neutrons / 2.4.2: |
Magnetic SANS: general considerations / 2.4.3: |
Unpolarized SANS cross sections / 2.6: |
k0 ⊥ H0 / 2.6.1: |
SANSPOL cross sections / 2.6.2: |
POLARIS cross sections / 2.7.1: |
POLARIS equations with non-ideal neutron optics / 2.8.1: |
Magnetic SANS at saturation / 2.9: |
Unpolarized SANS cross sections at saturation / 2.9.1: |
SANSPOL cross sections at saturation / 2.9.2: |
POLARIS cross sections at saturation / 2.9.3: |
Relation to particle-matrix approach / 2.9.4: |
Basics of Static Micromagnetism / 3: |
Magnetic energy contributions / 3.1: |
Exchange energy / 3.1.1: |
Dzyaloshinskii-Moriya energy / 3.1.2: |
Magnetocrystalline anisotropy / 3.1.3: |
Magnetoelastic anisotropy / 3.1.4: |
Zeeman interaction / 3.1.5: |
Magnetodipolar interaction / 3.1.6: |
Balance of torques / 3.2: |
Connecting micromagnetics and SANS / 3.3: |
The general case of a ferromagnet with anisotropy-field and magnetostatic fluctuations / 3.3.1: |
The case of a single-phase ferromagnet / 3.3.2: |
Magnetic SANS of Bulk Ferromagnets / 4: |
Historical overview of magnetic SANS theory / 4.1: |
Closed-form results for the spin-misalignment scattering / 4.2: |
Unpolarized neutrons (k0 ⊥ H0) / 4.2.1: |
Polarized neutrons (POLARIS) (k0 ⊥ H0) / 4.2.2: |
Polarized neutrons (POLARIS) (k0 ⊥ H0) / 4.2.4: |
Third-order magnetic SANS effect / 4.2.5: |
Basic features of magnetic SANS / 4.3: |
Angular anisotropy / 4.3.1: |
Effect of magnetodipolar interaction / 4.3.2: |
Effect of Dzyaloshinskii-Moriya interaction / 4.3.3: |
Magnetic Guinier law / 4.3.4: |
Asymptotic power-law exponent / 4.3.5: |
Polarization dependence of magnetic SANS / 4.3.6: |
Selected experimental results / 4.4: |
Fe-based soft magnetic nanocomposites / 4.4.1: |
Nd-Fe-B-based hard magnetic nanocomposites / 4.4.2: |
Spin-flip SANS of nanocrystalline cobalt / 4.4.3: |
SANS on systems with random paramagnetic susceptibility / 4.5: |
Magnetic SANS on dislocations / 4.6: |
Magnetic Sans of Nanoparticles and Complex Systems / 5: |
Nanoparticles / 5.1: |
Description by the conventional particle-matrix approach / 5.1.1: |
SANS of superparamagnetic particles / 5.1.2: |
The micromagnetic problem / 5.1.3: |
SANS by magnetic vortices in thin submicron-sized soft ferromagnetic cylinders / 5.1.4: |
Complex systems / 5.2: |
Ferrofluids / 5.2.1: |
Magnetic steels / 5.2.2: |
Spin glasses, amorphous metals, and critical SANS / 5.2.3: |
Some further applications of magnetic SANS / 5.2.4: |
Real-Space Analysis / 6: |
Magnetization profile around a spherical inclusion / 6.1: |
Correlation function of the spin-misalignment SANS cross section / 6.2: |
Basic properties of the correlation function of the spin-misalignment SANS / 6.3: |
Total correlation function / 6.4: |
Nanocrystalline Nd-Fe-B-based permanent magnets / 6.5: |
Nanocrystalline soft magnets / 6.5.2: |
Nanocrystalline hard magnets / 6.5.3: |
Micromagnetic Simulations / 7: |
Brief overview of micromagnetic SANS simulations / 7.1: |
Sample microstructures / 7.2: |
Simulation methodology and implementation of energy contributions / 7.3: |
Methodology / 7.3.1: |
Energy contributions / 7.3.2: |
Decrypting the SANS cross section / 7.4: |
Nanocomposite bulk magnets / 7.4.1: |
Magnetic nanoparticles / 7.4.2: |
Summary and outlook on simulation studies / 7.5: |
Caveat on the separation of nuclear and magnetic SANS from unpolarized SANS data / Appendix A: |
Magnetic materials parameters / Appendix B: |
Fourier-Hankel-Abel cycle / Appendix C: |
Fourier transform of the local saturation magnetization in a material containing ferromagnetic spherical inclusions / Appendix D: |
Three- and two-dimensional Fourier transforms in polar coordinates / Appendix E: |
Three-dimensional case / E.0.1: |
Two-dimensional case / E.0.2: |
Magnetic units / Appendix F: |
Fundamental constants / Appendix G: |
Glossary of symbols / Appendix H: |
References |
Index |
Introduction / 1: |
Outline of the book / 1.1: |
Basic properties of the neutron and numerical relations / 1.2: |