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

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Page 85

Manning ( 1962 , 1969 ) has extended the dimensionality of the matrices used in

Eq . ( 50 ) to achieve a more exact result . He finds fi = ( w , + žFw3 ) / ( w , + W2 +

žFw3 ) ( 53 ) The

...

Manning ( 1962 , 1969 ) has extended the dimensionality of the matrices used in

Eq . ( 50 ) to achieve a more exact result . He finds fi = ( w , + žFw3 ) / ( w , + W2 +

žFw3 ) ( 53 ) The

**factor**F is a function of the jump frequencies ws / wo . In fact , 1...

Page 90

Hence , 1942 = cuenta ( 61 ) If one considers the

N * N matrix , T ; , then Eq . ( 61 ) may be written as T ; + 1 = T ; Tı , and ...

Equations ( 63 ) and ( 64 ) provide the basis for the calculation of the correlation

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 ...

Equations ( 63 ) and ( 64 ) provide the basis for the calculation of the correlation

**factor**.Page 92

As will be seen below , the introduction of the correlation

rate of the ...

As will be seen below , the introduction of the correlation

**factor**changes the**factor**y . The correlation**factor**is calculated using Eqs . ( 63 ) and ( 64 ) . The**factors**Ce are the fraction of jumps of a particular type and hence are the jumprate of the ...

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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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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