## 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 96

3-4 LAUE'S

scalar

greatest generality,

directions ...

3-4 LAUE'S

**EQUATIONS**Bragg's**equation**describes diffraction in terms of ascalar

**equation**. Crystals are, in general, three-dimensional entities, and, forgreatest generality,

**equations**devel. oped to describe the diffracted beamdirections ...

Page 126

The total scattered intensity at P is obtained by summing the intensities of these

two scattered components: Ip - Ipy + IP: K = a (Io, + Io.coso.20) = — I — —H — *(;

; cos 20 K ( + cos' *) (4-2) = I, , -5 o,” 2 This is the Thomson

The total scattered intensity at P is obtained by summing the intensities of these

two scattered components: Ip - Ipy + IP: K = a (Io, + Io.coso.20) = — I — —H — *(;

; cos 20 K ( + cos' *) (4-2) = I, , -5 o,” 2 This is the Thomson

**equation**for the ...Page 158

approximate cancellation of the absorption and temperature factors.

19) may still be used, for adjacent lines on the pattern, but the calculated intensity

of ...

**Equation**(4-19) becomes still less precise, because there is no longer anyapproximate cancellation of the absorption and temperature factors.

**Equation**(4-19) may still be used, for adjacent lines on the pattern, but the calculated intensity

of ...

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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