## 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 ...

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 ...

Page 59

+ B - in + y / 2 ] where B = 2nchalup , y = up ? / [ 412 Mo ( 1 + 0p ) 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 R , = 0 , it

? ) ...

+ B - in + y / 2 ] where B = 2nchalup , y = up ? / [ 412 Mo ( 1 + 0p ) 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 R , = 0 , it

**follows**that E = ( uc / 41? ) ...

Page 60

41 ) By using these in conjunction with ( 5 . 39 ) it

In [ ( w ' + v ' ) / ( w ' – v ' ) ] ; v ' real on In = 0 * 4720 * 48 ? \ ( - tan - 4 ( 8 ' / w " ) ; v '

imaginary ( 5 . 42 ) where w = - w ' =and volum - ua1 = i 1612262 = iť ! ( 5 .

41 ) By using these in conjunction with ( 5 . 39 ) it

**follows**that EL - ua G - ua ( 2v )In [ ( w ' + v ' ) / ( w ' – v ' ) ] ; v ' real on In = 0 * 4720 * 48 ? \ ( - tan - 4 ( 8 ' / w " ) ; v '

imaginary ( 5 . 42 ) where w = - w ' =and volum - ua1 = i 1612262 = iť ! ( 5 .

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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