## Elements of X-ray Diffraction1 Properties of X-rays 2 Geometry of Crystals 3 Diffraction I: Directions of Diffracted Beams 4 Diffraction II: Intensities of Diffracted Beams 5 Diffraction III: Non-Ideal Samples 6 Laure Photographs 7 Powder Photographs 8 Diffractometer and Spectrometer 9 Orientation and Quality of Single Crystals 10 Structure of Polycrystalline Aggregates 11 Determination of Crystal Structure 12 Precise Parameter Measurements 13 Phase-Diagram Determination 14 Order-Disorder Transformation 15 Chemical Analysis of X-ray Diffraction 16 Chemical Analysis by X-ray Spectrometry 17 Measurements of Residual Stress 18 Polymers 19 Small Angle Scatters 20 Transmission Electron Microscope |

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Page 99

The conditions for diffraction can be represented graphically in reciprocal space

using the

dimensional crystal is also three dimensional, a convenient plane through ...

The conditions for diffraction can be represented graphically in reciprocal space

using the

**Ewald sphere**construction [2.3]. While the reciprocal lattice of a threedimensional crystal is also three dimensional, a convenient plane through ...

Page 100

An example of the

orthorhombic crystal with lattice parameters a, + 2.0 Å, a, - 1.0 Å and as = 3.0 A.

The corresponding magnitudes of the reciprocal lattice vectors are bi = 0.5 Å", b.

An example of the

**Ewald sphere**construction is shown in Fig. 3-6 for a simpleorthorhombic crystal with lattice parameters a, + 2.0 Å, a, - 1.0 Å and as = 3.0 A.

The corresponding magnitudes of the reciprocal lattice vectors are bi = 0.5 Å", b.

Page 118

The very small wavelength of the electrons means that the radius of the

corresponding

reciprocal lattice points or compared to the

0.037 A ...

The very small wavelength of the electrons means that the radius of the

corresponding

**Ewald sphere**is very large compared to the spacing betweenreciprocal lattice points or compared to the

**Ewald sphere**diameter for x-rays. For0.037 A ...

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User Review - ron_benson - LibraryThingExcellent reference book. Needs some updating in terms of advances in detector technology. Read full review

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### Common terms and phrases

alloy AuCu austenite axes axis back-reflection Bragg angle Bragg's law Bravais lattice calculated camera composition constant copper crystallite cubic curve decreases density detector determined diffracted beam diffracted intensity diffraction lines diffraction pattern diffractometer direction effect electrons energy equation error Ewald sphere example extrapolation face-centered face-centered cubic factor film fraction given grain hexagonal Hull/Debye–Scherrer incident beam indices integrated intensity lattice parameter lattice points Laue pattern Laue spots layer martensite measured metal normal observed obtained orthorhombic parallel peak percent phase photographic pinhole plane plot pole figure position powder pattern preferred orientation produce projection pulses radiation rays reciprocal lattice reciprocal space reflection relative rotation sample scattering shown in Fig shows slit solid solution space specimen stress substance superlattice surface symmetry temperature tetragonal texture tion transmission unit cell vector voltage wave wavelength x-ray diffraction x-ray tube