I. Modern Views on Atomic Magnetic Ordering.- a) Magnetic Structures and Ways of Describing Them.- § 1. Types of Magnetic Structure.- § 2. Magnetic Symmetry.- § 3. Classical Problem of Finding the Spin Configurations in the Heisenberg Model.- § 4. Phenomenological Method.- b) Theory of Spin Waves.- § 5. Spin Waves in a Ferromagnetic.- § 6. Spin Waves in Complex Magnetic Structures.- § 7. Description of the State of a Ferromagnetic over a Wide Temperature Range.- § 8. Influence of Anisotropic Interactions and Other Factors.- c) Nature of Magnetic Ordering.- § 9. Direct Exchange in Ferromagnetics.- §10. Indirect Exchange through Nonmagnetic Ions.- §11. Indirect Exchange Interaction through Conduction Electrons.- §12. Problem of a Localized Magnetic Moment in a Pure Metal and in Dilute Solid Solutions.- II. Theory of the Scattering of Slow Neutrons in Magnetic Crystals.- a) General Expressions for Scattering Cross Sections.- §13. Time Formalism in Scattering Theory.- §14. Interaction of Slow Neutrons with a Magnetic.- §15. Differential Scattering Cross-Sections for Unpolarized Neutrons.- b) Elastic Scattering.- §16. Nuclear Scattering in Single Crystals and Polycrystalline Samples.- §17. Magnetic Scattering of Neutrons in Single Crystals and Polycrystalline Samples.- c) Inelastic Single-Quantum Scattering of Neutrons.- §18. Scattering of Neutrons with the Emission and Absorption of a Phonon.- §19. Scattering of Neutrons with the Emission and Absorption of a Spin Wave.- d) Critical and Paramagnetic Scattering of Neutrons.- §20. Scattering of Neutrons in a Crystal near the Néel and Curie Points.- §21. Paramagnetic Scattering of Neutrons.- e) Scattering of Polarized Neutrons.- §22. Differential Scattering Cross Section of Polarized Neutrons.- §23. Change in the Polarization of Neutrons on Scattering in a Magnetic Crystal.- f) Some Theoretical Problems.- §24. Interpretation of the Scattering of Neutrons in Metal on the Basis of the Model of Collectivized Electrons.- §25. Magnetic Form Factor of the Polarization Cloud of Conduction Electrons.- III. Method of the Neutron-Diffraction Determination of Magnetic Structures.- §26. Quantitative Description of the Magnetic Scattering of Neutrons by Crystals.- §27. Determination of Magnetic Structure.- §28. Use of Symmetry Representations in the Determination of Magnetic Structure.- §29. Use of Polarized Neutrons in the Study of Magnetic Structure.- §30. Accounting for Absorption, Extinction, and Double Bragg Reflection.- §31. Apparatus for Carrying out Neutron-Diffraction Investigations.- IV. Some Results of Neutron-Diffraction Investigations on Magnetic Structures.- §32. Rare-Earth Elements and Some of Their Compounds.- §33. Oxides of the Spinel Structural Type.- §34. Oxides of the Garnet Structural Type.- §35. Oxides of the Corundum and Ilmenite Structural Type.- §36. Oxides of the Perovskite Structural Type.- §37. Oxides of the YMnO3 Structural Type.- V. Distribution of Magnetic Moment in Crystals.- a) Distribution of Spin Density.- §38. X-Ray and Neutron Form Factors. Connection with the Distribution of Spin and Electron Density.- §39. Theory of the Magnetic Form Factors of d Metals.- §40. Distribution of Spin Density in d Metals and Their Compounds.- §41. Theory of the Form Factors of Rare-Earth Elements.- §42. Experimental Study of the Form Factors of Rare-Earth Elements.- b) Magnetic Moments of Atoms in Metals and Alloys.- §43. Determination of the Magnetic Moments of Atoms from the Diffuse Magnetic Scattering of Neutrons.- §44. Magnetic Moments of Atoms in Alloys of Transition Metals.- VI. Dynamics of the Magnetic Lattice.- §45. Geometrical Picture of Single-Magnon Scattering.- §46. Experimental Methods of Studying the Inelastic Scattering of Neutrons.- §47. Spin-Wave Spectrum of Magnetics.- §48. Magnetic Critical Scattering of Neutrons.- §49. Paramagnetic Scattering.- VII. Ferromagnetism of Crystals Containing Impurities and the Scattering of Neutrons in These.- §50. Spin Excitations of a Ferromagnetic Crystal Containing an Impurity Atom.- §51. Density of States and Characteristics of the Spin-Wave Spectrum.- §52. Generalization of the Theory of Other Cases.- §53. Spin Waves in a Ferromagnetic with a Finite Impurity Concentration.- §54. Theory of Inelastic Neutron Scattering in Ferromagnetics Containing Impurities.- §55. Experimental Study of Inelastic Scattering in Impurity Ferromagnetics.- Appendix I. Systematic Extinctions of Reflections Due to the Presence of Symmetry Elements in Collinear Magnetics.- Appendix II. Bravais Lattices of Black-and-White (Magnetic) Symmetry.- Appendix III. Index to Literature on the Magnetic Structure of Metals, Alloys, and Chemical Compounds.- Literature Cited.- General Index.- Substance Index.