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

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Page 25

Expressions for the average stresses along straight cuts will be needed in the

analysis of the stability of the film . On a cut parallel to the y

Eq . ( 3 . 9 ) , and by definition , that the averages of Txy and Tx are given by ( van

der ...

Expressions for the average stresses along straight cuts will be needed in the

analysis of the stability of the film . On a cut parallel to the y

**axis**, it follows fromEq . ( 3 . 9 ) , and by definition , that the averages of Txy and Tx are given by ( van

der ...

Page 339

Anisotropy energy , Fk , is required to turn M from the easy

other direction . ... ( 31 ) The coordinate

d1 , Q2 , and az are the direction cosines of M with respect to the crystal

Anisotropy energy , Fk , is required to turn M from the easy

**axis**direction to anyother direction . ... ( 31 ) The coordinate

**axes**coincide with the crystal**axes**, andd1 , Q2 , and az are the direction cosines of M with respect to the crystal

**axes**.Page 344

23a , is perpendicular to the ( 111 )

facets . This ( 111 ) direction is the easy

19° 28 ' off of , the normal to the three { 211 } facets . Type II cut , as shown in Fig .

23a , is perpendicular to the ( 111 )

**axis**which is nearly normal to the { 211 }facets . This ( 111 ) direction is the easy

**axis**emergent from the junction of , and19° 28 ' off of , the normal to the three { 211 } facets . Type II cut , as shown in Fig .

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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