## Elements of X-Ray Diffraction |

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Page 329

We then have Ad /AS' A# Az\ — = I 1 I sin2 <t>. d \S' R R) The bracketed terms are

constant for any one film, so that Ad — = K sin2 0 = K

constant. Accordingly, we have the important result that the fractional errors in ...

We then have Ad /AS' A# Az\ — = I 1 I sin2 <t>. d \S' R R) The bracketed terms are

constant for any one film, so that Ad — = K sin2 0 = K

**cos2**6, (H-H) d where K is aconstant. Accordingly, we have the important result that the fractional errors in ...

Page 330

11-4, these values of a are plotted against sin2 6, and OQ is found by

extrapolation to be 3.165A. Other functions of 6, besides sin2 6 or

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

(11-10) ...

11-4, these values of a are plotted against sin2 6, and OQ is found by

extrapolation to be 3.165A. Other functions of 6, besides sin2 6 or

**cos2**6, may beused as a basis for extrapolation. For example, if we replace sin <t> cos <f> in Eq.

(11-10) ...

Page 331

Since there are usually very few hkO and 001 lines in the back- reflection region,

some low-angle lines have to be included, which means that the extrapolations

must be made against (

Since there are usually very few hkO and 001 lines in the back- reflection region,

some low-angle lines have to be included, which means that the extrapolations

must be made against (

**cos2**0/sin 6 +**cos2**6/6) and not against**cos2**6.### 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

PROPERTIES OF XRAYS | 1 |

THE GEOMETRY OF CRYSTALS | 29 |

THE DIRECTIONS OF DIFFRACTED BEAMS | 78 |

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### Common terms and phrases

absorption coefficient absorption edge alloy atomic number austenite axes axis back-reflection Bragg angle Bragg law Bravais lattice calculated camera chart circle composition constant copper cos2 counter counting rate cubic curve Debye ring Debye-Scherrer decreases density determined diffracted beam diffraction lines diffraction pattern diffractometer direction distance electrons elements equation error example face-centered face-centered cubic factor film filter given grain hexagonal incident beam indices integrated intensity lattice parameter Laue method located martensite measured metal normal obtained orthorhombic parallel percent phase photograph pinhole plotted point lattice pole figure position powder pattern preferred orientation produced pulses rays reciprocal lattice reflecting planes relative rhombohedral rotation sample scattering shown in Fig sin2 6 values slit solid solution spacing specimen sphere stereographic projection stress structure substance surface symmetry temperature tetragonal thickness tion transmission twin twin band unit cell vector voltage wave wavelength x-ray diffraction x-ray tube zero zone