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

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Page 124

72 ) and the

to the first Brillouin zone . For a fixed K , there is only a contribution if the energy

transfer ho is equal to one of the hoph , of the different phonon branches j .

72 ) and the

**vector**q is defined by K = Thkl + a ( II . 73 ) The**vector**q is restrictedto the first Brillouin zone . For a fixed K , there is only a contribution if the energy

transfer ho is equal to one of the hoph , of the different phonon branches j .

Page 158

position

and new position

are the distortion

position

**vector**Rio = 0 . We obtain a scattering length boo of the defect at R° = 0and new position

**vectors**for the host lattice atoms R , = Rio + si . The**vectors**s ,are the distortion

**vectors**originated by the defect . We set S , ( Rio = 0 ) = 0 , a ...Page 182

The equation is very evident in its dependence on concentration c , temperature ,

and interaction potential . V ( K ) has negative or positive values depending on

whether a concentration wave with wave

The equation is very evident in its dependence on concentration c , temperature ,

and interaction potential . V ( K ) has negative or positive values depending on

whether a concentration wave with wave

**vector**K is energetically favorable or ...### What people are saying - Write a review

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### Contents

Epitaxial Interfaces | 3 |

Thin Films | 15 |

Semiinfinite Overgrowths | 52 |

Copyright | |

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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