## 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 < l / P < 1 ( 3.60 ) Analogous

relationships may be written for the metastability conditions for a boundary ledge

...

By similar arguments it

**follows**that the condition for the coherent configuration ,when the misfits are equal but opposite in sign , is 0 < l / P < 1 ( 3.60 ) Analogous

relationships may be written for the metastability conditions for a boundary ledge

...

Page 59

+ B - in + y / 2 ] ( 5.30 ) where B = 2πολαμp , y = up ? / [ 41 % u6 ( 1 + 0 ) 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 Rn = 0 , it

( uc ...

+ B - in + y / 2 ] ( 5.30 ) where B = 2πολαμp , y = up ? / [ 41 % u6 ( 1 + 0 ) 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 Rn = 0 , it

**follows**that E =( uc ...

Page 60

and hence also ( 5.41 ) w tv = ( w'Ev ' ) / n By using these in conjunction with (

5.39 it

) – 1 tan- ? ( E ” / w ' ) ; v ' imaginary where ( 5.42 ) an 412 = 0 מך w ' = р M 4πλ ...

and hence also ( 5.41 ) w tv = ( w'Ev ' ) / n By using these in conjunction with (

5.39 it

**follows**that aE ua ua ( 2v ' ) - In [ ( w ' + v ' ) / ( w ' - v ' ) ] ; v ' real G 411 \ ( E ') – 1 tan- ? ( E ” / w ' ) ; v ' imaginary where ( 5.42 ) an 412 = 0 מך w ' = р M 4πλ ...

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### Contents

Epitaxial Interfaces | 3 |

Thin Films | 15 |

Semiinfinite Overgrowths | 37 |

Copyright | |

11 other sections not shown

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angle anisotropy approximation assumed atoms average axis c-sites calculated cations coherent concentration condition considerations constant contribution corresponding crystal curve defect density dependence determined diffusion direction discussed dislocations displacement effect elastic elastic scattering electron energy equation et al exist experimental experiments factor field flux lines follows force function garnet given gives important increasing Inelastic Scattering interaction interface ions lattice length limit magnetic materials measured Merwe metal method misfit mode neutron normal obtained parameter phase phonon Phys plane position potential present properties range rare earth reasonable reference region relation 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 X-ray