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

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Page 63

Nature of Diffusion With the assumption that the diffusion coefficient is a

, the fundamental process of diffusion can be inferred from Eq . ( 3 ) independent

of the specific nature of the initial condition . Namely , if the diffusivity is

Nature of Diffusion With the assumption that the diffusion coefficient is a

**constant**, the fundamental process of diffusion can be inferred from Eq . ( 3 ) independent

of the specific nature of the initial condition . Namely , if the diffusivity is

**constant**...Page 69

In what follows , it will not be necessary to assume

will be advantageous not to do so . First , one must notice that Eqs . ( 16 ) and (

18 ) contain terms for the Gibbs free energy , AG , of a fluctuation process .

In what follows , it will not be necessary to assume

**constant**temperature , in fact itwill be advantageous not to do so . First , one must notice that Eqs . ( 16 ) and (

18 ) contain terms for the Gibbs free energy , AG , of a fluctuation process .

Page 85

If the correlation factor is a

( 44 ) give identical results experimentally . That is , one normally would perform

experiments to ascertain the diffusion coefficient at various temperatures .

If the correlation factor is a

**constant**independent of temperature , Eqs . ( 19 ) and( 44 ) give identical results experimentally . That is , one normally would perform

experiments to ascertain the diffusion coefficient at various temperatures .

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### Contents

RICHARD W VOOK | 2 |

Epitaxial Monocrystalline Films | 10 |

Polycrystalline Films | 37 |

Copyright | |

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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