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

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Results 1-3 of 23

Page 77

When one

reduced as follows : ( x1x2 ) ( x1x2 ) ... The calculation of fī for the case that all of

the terms in Eq . ( 35 ) are independent of i is accomplished by

result ...

When one

**substitutes**this result into Eq . ( 35 ) , the correlation factor may bereduced as follows : ( x1x2 ) ( x1x2 ) ... The calculation of fī for the case that all of

the terms in Eq . ( 35 ) are independent of i is accomplished by

**substituting**theresult ...

Page 191

0 ( 30a ) From Eq . ( 33 ) and using the l'Hospital's rule , the critical value of ¥ is

obtained as Vc = lim lim ( = lim ( -Be = s ) - 1 B ( 41 ) βφ

according to Eqs . ( 31a , b ) into Eqs . ( 35a , b ) yields the critical values of x and

z ...

0 ( 30a ) From Eq . ( 33 ) and using the l'Hospital's rule , the critical value of ¥ is

obtained as Vc = lim lim ( = lim ( -Be = s ) - 1 B ( 41 ) βφ

**Substituting**dc and Vcaccording to Eqs . ( 31a , b ) into Eqs . ( 35a , b ) yields the critical values of x and

z ...

Page 246

In a - a ( 145b ) $ -X

VO 1 1 -X- Z In ? ) + In + In 4 4 do + Vo 2 1 - Q ( 146 ) 22 - x X& : { B [ ( z – a ) — 2x

] – In + z * -a ai , o Figs . 33a , b show the variations of log activities for ...

In a - a ( 145b ) $ -X

**Substituting**above two equations into Eq . ( 65 ) yields , ai -VO 1 1 -X- Z In ? ) + In + In 4 4 do + Vo 2 1 - Q ( 146 ) 22 - x X& : { B [ ( z – a ) — 2x

] – In + z * -a ai , o Figs . 33a , b show the variations of log activities for ...

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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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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