## Treatise on Materials Science and Technology, Volume 4 |

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Page 93

The only difference here is that these “ particles " must be followed by

walk . These are the vacancy , the solute atom , and the tracer jumps with zero x

projection . As before configurations of the particles can be reduced by symmetry

.

The only difference here is that these “ particles " must be followed by

**random**walk . These are the vacancy , the solute atom , and the tracer jumps with zero x

projection . As before configurations of the particles can be reduced by symmetry

.

Page 103

Other Forces To this point , the description has attempted to show the influences

that the

approach , the development of Eq . ( 24 ) using the jump rate between two ...

Other Forces To this point , the description has attempted to show the influences

that the

**random**walk of vacancies can have on the diffusion coefficient . In thisapproach , the development of Eq . ( 24 ) using the jump rate between two ...

Page 126

Range Order Average Number of Unlike Neighbors = 4 Q = -5 ( b ) Clustering

Average Number of Unlike Neighbors = 2 + ý ( c ) Fig . 5. Two - dimensional

illustration ...

**Random**Solution Average Number of Unlike Neighbors = 3 a = 0 ( a ) ShortRange Order Average Number of Unlike Neighbors = 4 Q = -5 ( b ) Clustering

Average Number of Unlike Neighbors = 2 + ý ( c ) Fig . 5. Two - dimensional

illustration ...

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### Contents

RICHARD W VOOK | 2 |

Epitaxial Monocrystalline Films | 10 |

Polycrystalline Films | 37 |

Copyright | |

6 other sections not shown

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### Common terms and phrases

activity addition alloys applied approximation average beam becomes calculated compaction component composition compression concentration considered copper correlation corresponding crystal cubic curve decreases defined deformation density dependence determined diffraction diffusion direction discussed dislocation disorder distribution effect electron elements energy enthalpy entropy equations example experimental expression factor fault field Figure forged function given gives increases influence interaction jump lattice material measurements mechanism metal method neighbor observed obtained occurs oriented parameter partial pattern phases Phys plane polycrystalline position possible powder present probability production properties random ratio reflections region relative respectively shown in Fig shows single crystals sintered solid solution solute atoms solvent specimen strain strengthening stress structure Substituting surface Table temperature theoretical theory thermodynamic thin films tracer twin vacancy values variations volume X-ray yield