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

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Page 90

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

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 ) ...

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

**elements**of anN * 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

If one calls this product R with

correlation factor is immediately apparent since D = } b rCf = Rf The remainder of

the calculation is the determination of the column vector f from Eq . ( 64 ) . Since

the ...

If one calls this product R with

**elements**Rq = TCą , then the influence of thecorrelation factor is immediately apparent since D = } b rCf = Rf The remainder of

the calculation is the determination of the column vector f from Eq . ( 64 ) . Since

the ...

Page 94

Consider a column vector with 119

occupation probability of the various configurations after n vacancy jumps .

Furthermore , Pn - 1 and Pn are related through Pn = Apn - 1 The total probability

of a ...

Consider a column vector with 119

**elements**. This vector denoted Pn gives theoccupation probability of the various configurations after n vacancy jumps .

Furthermore , Pn - 1 and Pn are related through Pn = Apn - 1 The total probability

of a ...

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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