## Treatise on materials science and technology, Volume 4 |

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Page 84

Substituting Eq. (47) into Eq. (46), P. = I II AnJkp0(k)[w2/(w2 + 4w, + 7w3)] (48) j =

1 it = 0 k the subscripts on A"Jk are meant to reflect the jk elements of the

". A better representation of Eq. (48) is possible by denoting Q(j) = w2/(w2 + 4wi ...

Substituting Eq. (47) into Eq. (46), P. = I II AnJkp0(k)[w2/(w2 + 4w, + 7w3)] (48) j =

1 it = 0 k the subscripts on A"Jk are meant to reflect the jk elements of the

**matrix**A". A better representation of Eq. (48) is possible by denoting Q(j) = w2/(w2 + 4wi ...

Page 90

Hence, (61) 7=1 If one considers the factors tf to be elements of an N x N

Tj , then Eq. (61) may be written as TJ+l=TjTu and evidently, Tj = Tj-lTu etc. The

above considerations imply that Tj = {T,y (62) Furthermore, if in addition one

writes ...

Hence, (61) 7=1 If one considers the factors tf to be elements of an N x N

**matrix**,Tj , then Eq. (61) may be written as TJ+l=TjTu and evidently, Tj = Tj-lTu etc. The

above considerations imply that Tj = {T,y (62) Furthermore, if in addition one

writes ...

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

jump ...

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 variousjump ...

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### Contents

Microstructural Characterization of Thin Films | 2 |

Fundamental Concepts of Diffraction | 4 |

Epitaxial Monocrystalline Films | 10 |

Copyright | |

26 other sections not shown

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### Common terms and phrases

a-sublattice Acta alloys aluminum average beam calculated compaction component compositional dependences compression concentration configurational entropy copper correlation factor crystallites CsCl phases decreases deformation diffraction pattern diffusion coefficient dislocation density disorder parameter effect electron diffraction equations Evans and Flanagan f.c. tetragonal face-centered cubic fiber axis flux forged free energy function Gibbs free energy given increases intermetallic iron powder isostatic jump rate lattice disorder material matrix mechanism nearest neighbor observed obtained occurs oriented partial enthalpy partial entropy Phys plane Poisson ratio polycrystalline probability pure metals random reciprocal lattice relps RHEED shear stress shown in Fig single crystals sintered sintered powder solid solution strengthening solute atoms solute content specimen stacking fault energy stoichiometry stress-strain curve structure sublattice Substituting surface Suzuki TED pattern temperature dependence tetragonal theoretical thermal thermodynamic thermodynamic activities thermodynamic properties thin films tracer jump twin vacancy jumps values variations Vook X-ray yield stress