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

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Page 25

9 ) , and by

Merwe , 1970 ) Txy = 0 ( 3 . ... ( 1 - 0 ) ] [ ēz ( cos20 + o sinề0 ) + ē , ( sin20 +

cos20 ) ] Try = – 2utlēx - ē , ) cos 0 sin o That ēx and ē , are indeed

Eqs . ( 3 .

9 ) , and by

**definition**, that the averages of Txy and Tx are given by ( van derMerwe , 1970 ) Txy = 0 ( 3 . ... ( 1 - 0 ) ] [ ēz ( cos20 + o sinề0 ) + ē , ( sin20 +

cos20 ) ] Try = – 2utlēx - ē , ) cos 0 sin o That ēx and ē , are indeed

**defined**byEqs . ( 3 .

Page 51

65 ) where zo is

e , with x in the plane z = 0 and B the variation with z in the plane x = 0 . The

maximum strain is approximately 22 % and falls off to less than 3 % in a STRAIN -

2 ...

65 ) where zo is

**defined**in ( 4 . 51 ) . In Fig . 19 , curve A illustrates the variation ofe , with x in the plane z = 0 and B the variation with z in the plane x = 0 . The

maximum strain is approximately 22 % and falls off to less than 3 % in a STRAIN -

2 ...

Page 80

23 ) 2 ( 1 - 0 ) ( a + b ) 2 where the natural misfit c / p is

c here is not the concentration but the lattice parameter of the reference lattice ,

...

23 ) 2 ( 1 - 0 ) ( a + b ) 2 where the natural misfit c / p is

**defined**in ( 4 . 3 ) and thec here is not the concentration but the lattice parameter of the reference lattice ,

**defined**in Eq . ( 4 . 3 ) . For a complete analysis of the forces which play a role in...

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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