Krivoglaz M.A. Theory of X-ray and thermal-neutron scattering by real crystals

Monograph. — New York: Plenum Press, 1969. — 405 p.This book is divided into two parts. In the first the theory of the classic diffraction of X-rays and neutrons in imperfect crystals is discussed in detail. The imperfections which are treated include solid solutions in which the atoms not only have different scattering factors but also are permitted to displace from their equilibrium positions and to be correlated with one another, the finite dimensions of the crystal, and severely distorted crystals containing many dislocations. In the second part of the book the inelastic scattering is described. This part discusses the scattering by phonons from harmonic crystals and then goes on to show how this scattering is modified by the anharmonicity and by the presence of defects in the crystal. As will be seen from the list of contents the range of topics covered by the book is very large and they are all treated so as to bring the reader up to the last developments in the field by the time the book was written in 1967. Indeed, in many places the book is even more up-to-date because it contains results which have only become common knowledge since that time. The book certainly contains a wealth of detailed results which are not readily available elsewhere. The book suffers because it contains so much and little space is permitted to discuss the significance of the different results. Consequently, it is very hard, unless the reader is very familiar with the field, to appreciate the significance of these results. Likewise, the pace of development in the book is enormous. Unless the reader has a very sound background in solid state physics and familiarity with scattering theory he will find it difficult to follow. In short the work is a useful addition to the literature but could have been much more useful if more concessions had been made to the reader at the expense of not including as many detailed results. See also the next edition in two volumes: /file/3349135/ (vol.1) and /file/3349691/ (vol.2).Elastic scattering of X-rays and neutrons at static inhomogeneities in real crystals.
Fluctuations of Composition and Order Parameters in Undistorted Solid Solutions.
Order in Solid Solutions and Fluctuations.
Macroscopic Theory of Fluctuation Waves of Concentration and Long-Range-Order Parameters.
Microscopic Theory of Fluctuation Waves of Concentration and Long-Range-Order Parameters in Solid Solutions.
Fluctuations of Short-Range-Order Parameters in Solid Solutions.
Fluctuation Waves of Static Displacements in Nonideal Crystals.
Macroscopic Theory of Waves of Static Displacements.
Microscopic Theory of Waves of Static Displacements.
Static Displacements around Point Defects in Crystals.
Effect of Fluctuations in Correlation Parameters on Static Displacements in Solutions.
Effect of Long-Range Forces on Fluctuations in Crystals.
Effect of Elastic Interaction on the Fluctuation of Concentration and Order Parameters in Crystals.
Effect of Dipole—Dipole Interaction on Fluctuations of Polarization.
Fluctuations of Concentration of Charged Defects.
General Theory of X-Ray and Thermal-Neutron Elastic Scattering by Nonideal Crystals.
General Expressions for Scattering Intensities.
Scattering of X Rays by Crystals of Finite Dimensions.
Classification of Crystal Defects by Reference to the X-Ray Diffraction Effects which They Produce.
Harmonic Analysis of the Shape of X-Ray Lines.
Diffuse Scattering of X Rays and Neutrons at Fluctuation Inhomogeneities of Crystals.
Scattering of X Rays by Solid Solutions.
Diffuse Scattering at Concentration Inhomogeneities in Undistorted Solutions.
Diffuse Scattering at Concentration Inhomogeneities in Distorted, Disordered Solutions.
Diffuse Scattering at Fluctuations of Correlation Parameters.
Diffuse Scattering at Fluctuations of Long-Range Order.
Diffuse Scattering by Ionic Crystals Containing Charged Defects or Impurities.
Anomalous Scattering near Critical Points on the Decomposition Curves and Phase Transformations of the Second Kind.
Weakening of the Line Intensities on the X-Ray Diffraction Picture.
Debye—Waller Factor of the Weakening of Intensity in Ideal Crystals.
Effect of Static Displacements of the Atoms in Solutions on the Intensity of X-Ray Lines.
Effect of Thermal Vibrations in Solid Solutions on the Intensity of X-Ray Lines.
Scattering of X Rays by Severely Distorted Crystals.
Asymptote of the Scattering-Intensity Distribution in the Case of Strong Coulomb Fields of Displacements.
Scattering of X Rays by Crystals Containing Chaotically Distributed Linear Dislocations.
Scattering of X Rays by Crystals Containing Chaotically Distributed Dislocation Loops.
Scattering of X Rays by Crystals Containing the Nuclei of a New Phase.
Inelastic scattering of Xrays and thermal neutrons in crystals.
Scattering of X Rays at Thermal Vibrations of the Atoms in Crystals.
Scattering of X Rays at Thermal Vibrations of the Atoms in Crystals.
Scattering of X Rays at Thermal Vibrations in Solid Solutions.
Inelastic Scattering of Neutrons at Vibrations of Ideal Harmonic Crystals.
Inelastic Neutron Scattering Cross Section and Correlation Functions.
Single Phonon Coherent Scattering of Neutrons and Determination of the Dispersion of the Oscillation Frequencies of the Atoms in the Crystal.
Single-Phonon Incoherent Scattering of Neutrons and Determination of the Distribution Function of the Oscillation Frequencies.
Energy Distribution of the Single-Phonon Scattering of Neutrons and Determination of the Relaxation Characteristics of the Phonons.
Single-Phonon Scattering of Neutrons by Solid Solutions.
Energy Distribution of the Single-Phonon Coherent Scattering of Neutrons by Nonideal Crystals.
Influence of the Anharmonism of the Vibrations on the Energy Distribution of Single-Phonon Coherent Scattering.
Influence of Static Inhomogeneities and Interaction between Elementary Excitations on the Single-Phonon Incoherent Scattering of Neutrons.
Appendix.
Calculation of the Mean Squares of the Fourier Components |c_k|² on the Microscopic Theory.
Equations for the Quantities A_k. in Crystals of Different Symmetries.
The Phonon Green Ts Function and the Correlation Function of the Phonon in a Nonideal Crystal.
Literature Cited.