## 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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angle anisotropy approximation assumed atoms average axis c-sites calculated cations coherent compounds 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 reference region relation resolution resonance 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