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

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Page 18

... somewhat from that used previously ( Frank and van der Merwe , 1949b ) . B .

Equilibrium

th atom are El5nm = OE / Onnm = 0 ( 3 . 13 ) The first of these yields , on using ( 3

...

... somewhat from that used previously ( Frank and van der Merwe , 1949b ) . B .

Equilibrium

**Equations**of Single Atoms The equilibrium**equations**of the ( n , m )th atom are El5nm = OE / Onnm = 0 ( 3 . 13 ) The first of these yields , on using ( 3

...

Page 19

When similar approximations are made for the other differences in Eq . ( 3 . 14 )

and its equivalent , one obtains for the equilibrium conditions , the

20x2 , QxQ , ( 1 + 0 ) 22n , az ? 2257 0 = 1W , sin 276 42 1 - 0 On ôm ' b ? ( 3 .

When similar approximations are made for the other differences in Eq . ( 3 . 14 )

and its equivalent , one obtains for the equilibrium conditions , the

**equations**[20x2 , QxQ , ( 1 + 0 ) 22n , az ? 2257 0 = 1W , sin 276 42 1 - 0 On ôm ' b ? ( 3 .

Page 21

26 ) i 1 - 0 ta , sin20 1 + 0 axa , Ax Oy sin COSA T If we would assume in the first

of these

solution for Ě , which , when fed into the second

nonvanishing ...

26 ) i 1 - 0 ta , sin20 1 + 0 axa , Ax Oy sin COSA T If we would assume in the first

of these

**equations**that the n term vanishes , the resulting**equation**yields asolution for Ě , which , when fed into the second

**equation**, must give anonvanishing ...

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### Contents

Epitaxial Interfaces | 3 |

Thin Films | 15 |

Semiinfinite Overgrowths | 52 |

Copyright | |

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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