## Elements of X-ray DiffractionIntended to acquaint the reader with the theory of x-ray diffraction, the experimental methods involved, and the main applications. The book is a collection of principles and methods stressing X-ray diffraction rather than metallurgy. The book is written entirely in terms of the Bragg law and can be read without any knowledge of the reciprocal lattice. It is divided into three main parts— Fundamentals; experimental methods; and applications. Designed for beginners, not as a reference tool for the advanced reader. |

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Results 1-3 of 19

Page 183

Under these circumstances, the usual polarization factor (l +

included in Eqs. (4-l9) through (4-2l), must be replaced by the factor (l +

Under these circumstances, the usual polarization factor (l +

**cos2**20)/2, which isincluded in Eqs. (4-l9) through (4-2l), must be replaced by the factor (l +

**cos2**2a**cos2**20)/(l +**cos2**2a), where 2a is the diffraction angle in the monochromator ...Page 355

Accordingly, we have the important result that the fractional errors in d are directly

proportional to

or as 0 approaches 90 . In the cubic system, <l a a0 a = a0 + a0K

Accordingly, we have the important result that the fractional errors in d are directly

proportional to

**cos2**0, and therefore approach zero as**cos2**0 approaches zeroor as 0 approaches 90 . In the cubic system, <l a a0 a = a0 + a0K

**cos2**0 (ll-l2) ...Page 356

In Fig. l I-4, these values of a are plotted against sin2 0. and a0 is found by

extrapolation to be 3.l65 A. Other functions of 0, besides sin2 0 or

used as a basis for extrapolation. For example, if we replace sin <j> cos <j> in Eq.

(l ...

In Fig. l I-4, these values of a are plotted against sin2 0. and a0 is found by

extrapolation to be 3.l65 A. Other functions of 0, besides sin2 0 or

**cos2**0, may beused as a basis for extrapolation. For example, if we replace sin <j> cos <j> in Eq.

(l ...

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#### LibraryThing Review

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

### Contents

Geometry of Crystals | 32 |

Directions of Diffracted Beams | 81 |

Intensities of Diffracted Beams | 107 |

Copyright | |

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### Common terms and phrases

absorption coefficient alloy atomic number austenite axes back-reflection body-centered Bragg angle Bragg law Bravais lattice calculated camera circle collimator constant copper cos2 counter counting rate cubic curve Debye ring Debye-Scherrer decreases determined diffracted beam diffraction lines diffraction pattern diffractometer diffractometer axis direction effect electron elements energy equation error example face-centered face-centered cubic factor film filter given grain hexagonal incident beam indices integrated intensity lattice parameter Laue method Laue spot martensite measured metal neutron normal obtained orthorhombic parallel percent phase photographic pinhole point lattice pole figure position powder pattern preferred orientation produced pulses random reciprocal lattice reciprocal-lattice reflecting planes relative rhombohedral rotation sample sheet shown in Fig shows sin2 0 values slit solid solution spacing specimen spectrometer sphere substance surface symmetry temperature tetragonal texture thickness transmission unit cell vector voltage wave wavelength x-ray beam x-ray diffraction x-ray tube zero zone