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

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Page 124

... different phonon branches j . V ; ' is the polarization vector of atom y for a

phonon of branch j . My is the mass of atom y in the unit cell , R , its position

vector . The

lattices : Fayn ...

... different phonon branches j . V ; ' is the polarization vector of atom y for a

phonon of branch j . My is the mass of atom y in the unit cell , R , its position

vector . The

**dynamical**structure factor Fdyn , j is rather simple for monatomiclattices : Fayn ...

Page 169

Further by use of Eq . ( 52 ) the

equilibrium condition can be introduced explicitly into the scattering expression .

Q is given directly by the phonon frequencies , for instance , in the case of a

monatomic ...

Further by use of Eq . ( 52 ) the

**dynamical**matrix Q involved in the staticequilibrium condition can be introduced explicitly into the scattering expression .

Q is given directly by the phonon frequencies , for instance , in the case of a

monatomic ...

Page 189

COLLECTIVE

decade that phase transformations in ionic , covalent , and molecular crystals are

usually due to soft modes . This is , in the language of lattice dynamics : either an

...

COLLECTIVE

**DYNAMICAL**DISORDER It has been recognized within the lastdecade that phase transformations in ionic , covalent , and molecular crystals are

usually due to soft modes . This is , in the language of lattice dynamics : either an

...

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### Contents

Epitaxial Interfaces | 3 |

Thin Films | 15 |

Semiinfinite Overgrowths | 37 |

Copyright | |

11 other sections not shown

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### Common terms and phrases

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