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

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Page 61

In this way , the

function of the variable x . Over macroscopic distances along the x axis , one can

discuss finite differences in

divided ...

In this way , the

**concentration**of each species is restricted to a continuousfunction of the variable x . Over macroscopic distances along the x axis , one can

discuss finite differences in

**concentration**. The limit of such a finite differencedivided ...

Page 78

The entropy depends on

volume fixed and assumed to equal vacancy volume on the average , the

variable volume is represented by changes in vacancy

the crystal ...

The entropy depends on

**concentration**, volume , and energy . With atomicvolume fixed and assumed to equal vacancy volume on the average , the

variable volume is represented by changes in vacancy

**concentration**. Therefore ,the crystal ...

Page 81

First , one can calculate the influence that solute atoms have on the average

vacancy

diffusivity . It is instructive to do both . Calculation of the average vacancy

First , one can calculate the influence that solute atoms have on the average

vacancy

**concentration**; second , one can use the result to calculate the solutediffusivity . It is instructive to do both . Calculation of the average vacancy

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### Contents

RICHARD W VOOK | 2 |

Epitaxial Monocrystalline Films | 10 |

Polycrystalline Films | 37 |

Copyright | |

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### Common terms and phrases

activity addition alloys applied approximation average beam becomes calculated compaction component composition compression concentration considered constant 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 strain strengthening stress structure Substituting surface Table temperature theoretical theory thermodynamic thin films tracer twin vacancy values variations volume X-ray yield