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

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Page 28

... but not of a magnitude that would affect dislocation conservation . The

conditions for metastability of a ledge parallel to the y axis are accordingly ex ( 4 )

+ oe , ( 0 ) > 0 , ex ( 0 ) + oe , ( 1 ) < 0 ( 3 . 56 ) These yield , on

3 .

... but not of a magnitude that would affect dislocation conservation . The

conditions for metastability of a ledge parallel to the y axis are accordingly ex ( 4 )

+ oe , ( 0 ) > 0 , ex ( 0 ) + oe , ( 1 ) < 0 ( 3 . 56 ) These yield , on

**substituting**from (3 .

Page 54

7 ) + [ MD® + m2 ( An® + zCb ) ] sinh mz } sin mx paz = - [ m2 ( A , " + zCb ) cosh

mz + m2 ( Bob + zDąb ) sinh mz ] cos mx After

) into Eq . ( 4 . 17 ) and putting z = 0 , one readily obtains by integration 24a 4a ...

7 ) + [ MD® + m2 ( An® + zCb ) ] sinh mz } sin mx paz = - [ m2 ( A , " + zCb ) cosh

mz + m2 ( Bob + zDąb ) sinh mz ] cos mx After

**substituting**from ( 5 . 6 ) and ( 5 . 7) into Eq . ( 4 . 17 ) and putting z = 0 , one readily obtains by integration 24a 4a ...

Page 58

26 ) and that Eqs . ( B . 9 ) and ( B . 12 ) , correspondingly yield P . : ( 0 , x ) = ( 1 /

7 ) ÇS , sin mx ( 5 . 27 ) and Ug ( x ) = ( u / tha ) Sm - ? sin mx ( 5 . 28 ) Two

identities are obtained , ( i ) by

( ii ) ...

26 ) and that Eqs . ( B . 9 ) and ( B . 12 ) , correspondingly yield P . : ( 0 , x ) = ( 1 /

7 ) ÇS , sin mx ( 5 . 27 ) and Ug ( x ) = ( u / tha ) Sm - ? sin mx ( 5 . 28 ) Two

identities are obtained , ( i ) by

**substituting**( 5 . 25 ) and ( 5 . 27 ) into ( 5 . 24 ) and( ii ) ...

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### Contents

Epitaxial Interfaces | 3 |

Thin Films | 15 |

Semiinfinite Overgrowths | 52 |

Copyright | |

10 other sections not shown

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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