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

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Page 29

By similar arguments it

when the misfits are equal but opposite in sign , is 0 < 1 / P < 1 ( 3 . 60 )

Analogous relationships may be written for the metastability conditions for a

boundary ...

By similar arguments it

**follows**that the condition for the coherent configuration ,when the misfits are equal but opposite in sign , is 0 < 1 / P < 1 ( 3 . 60 )

Analogous relationships may be written for the metastability conditions for a

boundary ...

Page 59

+ B - in + y / 2 ] where B = 2nchalup , y = up ? / [ 412 Mo ( 1 + 0p ) tc ] and d has

been approximated by c . ( 5 . 31 ) 3 . ENERGY The calculation of the interfacial

energy leads again to ( B . 26 ) . On noting that R , = 0 , it

? ) ...

+ B - in + y / 2 ] where B = 2nchalup , y = up ? / [ 412 Mo ( 1 + 0p ) tc ] and d has

been approximated by c . ( 5 . 31 ) 3 . ENERGY The calculation of the interfacial

energy leads again to ( B . 26 ) . On noting that R , = 0 , it

**follows**that E = ( uc / 41? ) ...

Page 60

41 ) By using these in conjunction with ( 5 . 39 ) it

In [ ( w ' + v ' ) / ( w ' – v ' ) ] ; v ' real on In = 0 * 4720 * 48 ? \ ( - tan - 4 ( 8 ' / w " ) ; v '

imaginary ( 5 . 42 ) where w = - w ' =and volum - ua1 = i 1612262 = iť ! ( 5 .

41 ) By using these in conjunction with ( 5 . 39 ) it

**follows**that EL - ua G - ua ( 2v )In [ ( w ' + v ' ) / ( w ' – v ' ) ] ; v ' real on In = 0 * 4720 * 48 ? \ ( - tan - 4 ( 8 ' / w " ) ; v '

imaginary ( 5 . 42 ) where w = - w ' =and volum - ua1 = i 1612262 = iť ! ( 5 .

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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