## 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. |

### From inside the book

Results 1-3 of 30

Page 118

-E resultant wave are then found simply by adding the

parallelogram law. This geometrical construction may be avoided by use of the

following analytical treatment, in which complex numbers are used to represent

the

-E resultant wave are then found simply by adding the

**vectors**by theparallelogram law. This geometrical construction may be avoided by use of the

following analytical treatment, in which complex numbers are used to represent

the

**vectors**.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

The former are obtained by forming the dot product of each side of the equation

and the three crystal-lattice

equations derived by von Laue in l9l2 to express the necessary conditions for

diffraction.

The former are obtained by forming the dot product of each side of the equation

and the three crystal-lattice

**vectors**a,, a2, ... (l0) are the**vector**form of theequations derived by von Laue in l9l2 to express the necessary conditions for

diffraction.

### 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 |

Intensities of Diffracted Beams | 107 |

Copyright | |

18 other sections not shown

### Other editions - View all

### 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