Theory of X-Ray Diffraction in Crystals

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Courier Corporation, Jan 1, 2004 - Science - 255 pages
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This classic by one of the great figures in x-ray structure analysis provides a vigorous mathematical treatment of its subject. Addresses such fundamentals as crystal faces and edges, the lattice postulate, lattice rows and panes, as well as point, translation,and space groups. 1945 edition.
 

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Contents

THE NATURE OF CRYSTALS SECTION PAGE 1 THE MACROSCOPIC CONCEPT OF A CRYSTAL l
1
CRYSTAL FACES
2
THE LAW OF RATIONAL INDICES
4
CRYSTAL EDGES THE ZONE CONCEPT
6
LINEAR TRANSFORMATIONS OF THE COORDINATE SYSTEM
7
THE LATTICE POSTULATE
9
LATTICE Rows AND LATTICE PLANES II
11
THE RECIPROCAL LATTICE
13
GENERAL SOLUTION FOR PLANE PARALLEL CRYSTAL PLATES
120
SOLUTIONS FOR ZERO ABSORPTION
123
ABSORBING CRYSTALS
135
DOUBLE CRYSTAL DIFFRACTION PATTERNS
147
COMPARISON WITH EXPERIMENTAL DATA
153
XRAY INTERFERENCE IN REAL CRYSTALS SECTION I MiK 1 REAL AND IDEAL CRYSTALS
156
THE MOSAIC CRYSTAL
159
THEORY OP XRAY DIFFRACTION IN MOSAIC CRYSTALS
161

FOURIER SYNTHESIS OF LATTICE FUNCTIONS
15
PRIMITIVE AND NONPRIMITIVE LATTICE REPRESENTATIONS
19
THE SYMMETRY OF CRYSTALS 1 THE SYMMETRY CONCEPT
24
THE POSSIBLE SYMMETRY OPERATIONS OF CRYSTAL LATTICES
27
CLASSIFICATION OF THE POSSIBLE SYMMETRY OPERATIONS AND OF THEIR SYMMETRY ELEMENTS
33
THE POINT GROUPS
38
THE TRANSLATION GROUPS
48
THE SPACE GROUPS
62
THE SIGNIFICANCE OF THE SPACE GROUP THEORY
79
THEORY OF XRAY DIFFRACTION IN IDEAL CRYSTALS
82
THE LAUE AND BRAGG EQUATIONS
83
CONSTRUCTION OF THE DIFFRACTED WAVE VECTORS IN THE RECIPROCAL
85
LATTICE
86
ELEMENTARY THEORY OF XRAY SCATTERING BY A SINGLE ELECTRON AND BY A SINGLE ATOM
89
ATOMIC SCATTERING POWER AND ANOMALOUS DISPERSION
95
THE STRUCTURE FACTOR
96
SCATTERING FROM A SMALL CRYSTAL
99
INTEGRATED INTENSITY FOR A SMALL CRYSTAL
103
THE DYNAMICAL THEORY OF XRAY DIFFRACTION
111
THE FUNDAMENTAL EQUATIONS OF THE DYNAMICAL THEORY
113
THE HEAT MOTION
176
FORMAL INTRODUCTION OF NORMAL COORDINATES
178
STANDING WAVES AS THE NORMAL VIBRATIONS OF THE LATTICE
181
THE TEMPERATURE DIFFUSE SCATTERING OF SIMPLE LATTICES
188
THE TEMPERATURE DIFFUSE SCATTERING OP POLYATOMIC LATTICES
196
COMPARISON WITH EXPERIMENTS
199
HEAT MOTION AND THE LAUEBRAGO SCATTERING
206
A GENERAL THEORY OF XRAY DIFFRACTION IN DISORDERED LATTICES
213
SOME COMMON DISORDERS
222
DYADICS 1 FUNDAMENTAL CONCEPTS
231
THE NONIAN FORM OP DYADICS
235
COMPLETE AND INCOMPLETE DYADICS
237
SYMMETRICAL ANTISYMMETRICAL AND RECIPROCAL DYADICS
238
SOME PROPERTIES OP THE DYADICS t fai
240
ELEMENTS OF GROUP THEORY 1 THE GROUP POSTULATES
243
SUBGROUPS
245
ISOMORPHIC GROUPS
248
INDEX
251
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