Magnetic Interactions in Molecules and Solids

1 Basic Concepts.- 1.1 Slater Determinants and Slater-Condon Rules.- 1.2 Generation of Many Electron Spin Functions.- 1.3 Perturbation Theory.- 1.4 Effective Hamiltonian Theory.- 2 One Magnetic Center.- 2.1 Atomic Magnetic Moments.- 2.2 The Eigenstates of Many-Electron Atoms.- 2.3 Further Removal of the Degeneracy of the N-electron States.- 3 Two (or More) Magnetic Centers.- 3.1 Localized Versus Delocalized Description of the Two-Electron/Two-Orbital Problem.- 3.2 Model Spin Hamiltonians for Isotropic Interactions.- 3.3 From Micro to Macro: The Bottom-Up Approach.- 3.4 Complex Interactions.- 4 From Orbital Models to Accurate Predictions.- 4.1 Qualitative Valence-Only Models.- 4.2 Magnetostructural Correlations.- 4.3 Accurate Computational Models.- 5 Towards a Quantitative Understanding.- 5.1 Decomposition of the Magnetic Coupling.- 5.2 Mapping Back on a Valence-Only Model.- 5.3 Analysis with Single Determinant Methods.- 5.4 Analysis of Complex Interactions.- 6 Magnetism and Conduction.- 6.1 Electron Hopping.- 6.2 Double Exchange.- 6.3 A Quantum Chemical Approach to Magnetic Interactions in the Solid State.- 6.4 Goodenough-Kanamori Rules.- 6.5 Spin Waves for Ferromagnets.