## Treatise on Materials Science and Technology, Volume 2 |

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Page 12

where Fand V are

system . For solids ( 2 . 15 ) may be approximated by F = min . ( 2 . 16 ) because

of the negligible compressibility mentioned previously . 2 . SOLUBILITY The ...

where Fand V are

**respectively**the Helmholtz free energy and the volume of thesystem . For solids ( 2 . 15 ) may be approximated by F = min . ( 2 . 16 ) because

of the negligible compressibility mentioned previously . 2 . SOLUBILITY The ...

Page 32

73 ) where E and u are the Young ' s and the shear moduli ,

present treatment , b , is the spacing of atomic planes perpendicular to the

interface . Hence , by ( 3 . 10 ) , the volume per interfacial atom is 12 = bxb , nb , (

3 .

73 ) where E and u are the Young ' s and the shear moduli ,

**respectively**; in thepresent treatment , b , is the spacing of atomic planes perpendicular to the

interface . Hence , by ( 3 . 10 ) , the volume per interfacial atom is 12 = bxb , nb , (

3 .

Page 97

33 illustrate

units uc / 412 ) in ( B . 30 ) versus misfit 1 / P for Mo = Ha = 104o . Curves A , B ,

and C correspond to v = Mo / ( 1 – 20 ) , 0 , and co ,

...

33 illustrate

**respectively**ENERGY MISFIT I / P = Fig . 33 . Graph of energy E (units uc / 412 ) in ( B . 30 ) versus misfit 1 / P for Mo = Ha = 104o . Curves A , B ,

and C correspond to v = Mo / ( 1 – 20 ) , 0 , and co ,

**respectively**( van der Merwe...

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### Contents

Epitaxial Interfaces | 3 |

Thin Films | 15 |

Semiinfinite Overgrowths | 52 |

Copyright | |

10 other sections not shown

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### Common terms and phrases

angle anisotropy approximation assumed atoms average axis c-site calculated cations coherent compounds concentration condition considerations constants contribution corresponding crystal curve decreases defect density dependence determined diffusion direction discussed dislocations displacement effect elastic elastic scattering electron energy equation et al experimental experiments factor field flux flux lines follows force function garnets given gives important impurity increases interaction interface ions lattice limit magnetic materials measured Merwe metal method misfit mode neutron normal observed obtained optical parameter phase phonon Phys plane position potential present processes properties range reference region resolution respectively sample scattering cross section shown shows single solid solution space strain stress structure substrate superconducting surface Table temperature tetrahedral theory thermal thickness transition unit values vector wave X-ray