## 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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Page 118

4-11

the

avoided by use of the following analytical treatment, in which complex numbers

are ...

4-11

**Vector**addition of waves. resultant wave are then found simply by addingthe

**vectors**by the parallelogram law. This geometrical construction may beavoided by use of the following analytical treatment, in which complex numbers

are ...

Page 480

The scalar product (or dot product) of two

scalar quantity equal in magnitude to the product of the absolute values of the

two

The scalar product (or dot product) of two

**vectors*** a and b, written a • b, is ascalar quantity equal in magnitude to the product of the absolute values of the

two

**vectors**and the cosine of the angle a between them, or a • b = ab cos a.Page 488

(10) Equations (8) through (10) are the

von Laue in 1912 to express the necessary conditions for diffraction. They must

be satisfied simultaneously for diffraction to occur. As shown in Fig. A 1-7, the

(10) Equations (8) through (10) are the

**vector**form of the equations derived byvon Laue in 1912 to express the necessary conditions for diffraction. They must

be satisfied simultaneously for diffraction to occur. As shown in Fig. A 1-7, the

**vector**...### What people are saying - Write a review

#### 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 |

EXPERIMENTAL METHODS | 147 |

Copyright | |

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### Common terms and phrases

absorption coefficient alloy angular atomic number axes back-reflection body-centered Bragg angle Bragg law Bravais lattice calculated camera chart circle constant continuous spectrum copper cos2 counter cubic curve decreases density determined diffracted beam diffraction lines diffraction pattern diffraction spot diffractometer direction distance effect electron energy equation error example face-centered face-centered cubic factor film filter given grain hexagonal incident beam integrated intensity lattice parameter lattice points Laue method Laue pattern Laue spot located measured metal obtained orientation parallel percent phase photographic plotted point lattice pole figure position powder pattern produced pulses rays reciprocal lattice reciprocal-lattice reflecting planes relative rhombohedral rotation sample scattering shown in Fig shows single crystal slit solid solution spacing specimen spectrometer sphere stereographic projection stress substance surface symmetry target temperature tetragonal texture thickness twin twin band unit cell vector voltage wave wavelength x-ray beam x-ray diffraction x-ray tube zone