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

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Page 84

Then a single

through such rotations . One defines Aij in a ... Equation ( 49 ) will still hold ;

however , the dimensionality of the

follows will ...

Then a single

**matrix**element can represent a set of sites which are relatedthrough such rotations . One defines Aij in a ... Equation ( 49 ) will still hold ;

however , the dimensionality of the

**matrices**is reduced . The example whichfollows will ...

Page 90

Hence , 1942 = cuenta ( 61 ) If one considers the factors tqß to be elements of an

N * N

T ; = T ; - 171 , etc . The above considerations imply that T ; = ( T1 ) ( 62 ) ...

Hence , 1942 = cuenta ( 61 ) If one considers the factors tqß to be elements of an

N * N

**matrix**, T ; , then Eq . ( 61 ) may be written as T ; + 1 = T ; Tı , and evidently ,T ; = T ; - 171 , etc . The above considerations imply that T ; = ( T1 ) ( 62 ) ...

Page 93

Since the factors Ca contain the average frequency in the denominator , the

product of the average frequency and the

diffusivity , will convert the

...

Since the factors Ca contain the average frequency in the denominator , the

product of the average frequency and the

**matrix**C , as necessary to evaluate thediffusivity , will convert the

**matrix**C to the contributions to diffusion by the various...

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### Contents

RICHARD W VOOK | 2 |

Epitaxial Monocrystalline Films | 10 |

Polycrystalline Films | 37 |

Copyright | |

2 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 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