Theory of x-ray diffraction in crystals x光在晶体中的衍射理论

The ongoing significance of microstructural analysis makes x-ray dif-fraction ever-relevant to physicists, chemical crystallographers,molecular biologists, and materials scientists. This classic by one of the great figures in x-ray structure analysis offers a unified, logical,and vigorous mathematical treatment of the subject that presents and applies results of mathematical theory (full derivations are not provided).
The first two chapters, on the nature and symmetry of crystals,address such fundamentals as crystal faces and edges, the lattice pos-tulate, lattice rows and panes, and Fourier series representations of physical properties, as well as point, translation, and space groups.Chapter III is devoted entirely to the theory of x-ray diffraction in ideal crystals, and Chapter IV to x-ray interference in real crystals. The appendixes cover dyadics and the elements of group theory. Despite subsequent advances, this volume's survey of fundamentals keeps it a standard text for both students and professionals, and it continues to be cited in recent journals. Twenty-nine diagrams and 20 tables further clarify the text, and bibliographies appear at chapter ends as well as in the footnotes.

CHAPTER I: THE NATURE OF CRYSTALS SECTION
1. THE MACROSCOPIC CONCEPT OF A CRYSTAL
2. CRYSTAL FACES.
3. THE LAw OF RATIONAL INDICES
4. RECIPROCAL VECTORS
5. CRYSTAL EDGES. THE ZONE CONCEPT
6. LINEAR TRANSFORMATIONS OF THE COORDINATE SYSTEM
7. THE LATTICE POSTULATE
8. LATTICE ROWS AND LATTICE PLANES
9. THE RECIPROCAL LATTICE
10. FOURIER SERIES REPRESENTATIONS OF PHYSICAL PROPERTIES
11. FOURIER SYNTHESIS Of LATTICE FUNCTIONS
12. PRIMITIVE AND NoN--PRIMITIVE LATTICE REPRESENTATIONS
CHAPTER II: THE SYMMETRY OF CRYSTALS
1. THE SYMMRTRy CONCEPT
2. THE POSSIBLE SYMMETRy OPERATIONS OF CRYSTAL LATTICES
3. CLASSIFICATION OF THE POSSIBLE SYMMETRY OPERATIONS AND OF THEIR SYMMETRY ELEMENTS
4. THE POINT GROUPS
5. THE TRANSLATION GROUPS
6. THE SPACE GROUPS
7. THE SIGNIFICANCE OF THE SPACE GROUP THEORY
CHAPTER III: THEORY OF X-RAY DIFFRACTION IN IDEAL CRYSTALS
1. THE LAUE AND BRAGG EQUATIONS
2. CONSTRUCTION OF THE DIFFRACTED WAVE VECTORS IN THE RECIPROCAL LATTICE
3. ELEMENTARY THEORY OF X-RAY SCATTERING BY A SINGLE ELECTRON AND BY A SINGLE ATOM
4. ATOMIC SCATTERING POWER AND ANOMALOUS DISPERSION
5. THE STRUCTURE FACTOR
6. SCATTERING FROM A SMALL CRYSTAL
7. INTEGRATED INTENSITY FOR A SMALL CRYSTAL
8. TRE DYNAMICAL THEORY OF X-RAY DIFFRACTION
9. THE FUNDAMENTAL EQUATIONS OF THE DYNAMICAL THEORY
10. GENERAL SOLUTION FOR PLANE PARALLEL CRYSTAL PLATES
11. SOLUTIONS FOR ZERO ABSORPTION
12. ABSORBING CRYSTALS
13. DOUBLE CRYSTAL DIFFRACTION PATTRNS
14. COMPARISON WITH EXPERIMENTAL DATA
CHAPTER IV: X-RAY INTERFERENCE IN REAL CRYSTALS SECTION
1. REAL AND IDEAL CRYSTALS
2. THE MOSAIC CRYSTAL
3. THEORY OF X-RAY DIFFRACTION IN MOSAIC CRYSTALS
4. THE HEAT MOTION
5. FORMAL INTRODUCTION OF NORMAL COORDINATES
6. STANDING WAVES AS THE NORMAL VIBRATIONS OF THE LATTICE
7. THE TEMPERATURE DIFFUSE SCATTERING OF SIMPLE LATTICES
8. THE TEMPERATURE DIFFUSE SCATTERING OF POLYATOMIC LATTICES
9. COMPARISON WITH EXPERIMENTS
10. HEAT MOTION AND THE LAUE-BRAGG SCATTERING
11. A GENERAL THEORY OF X-RAY DIFFRACTION IN DISORDERED LATTICES
12. SOME COMMON DISORDERS
APPENDIX A: DYADICS
1. FUNDAMENTAL CONCEPTS
2. THE NONIAN FORM OF DYADICS
3. COMPLETE AND INCOMPLETE DYADICS
4. SYMMETRICAL, ANTI-SYMMETRICAL, AND RECIPROCAL DYADICS
5. SOME PROPERTIES OF THE DYADICS
APPENDIX B: ELEMENTS OF GROUP THEORY
1. THE GROUP POSTULATES
2. SUBGROUPS
3. ISOMORPHIC GROUPS
INDEX