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

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Page 44

C.

C.

**Solution**of the Governing Equation 1. DISPLACEMENT FUNCTION No standard procedure for solving the nonlinear integrodifferential equation ( 4.39 ) exists . A**solution**was " discovered , ” using an iterative method in which it was ...Page 53

An exact ( van der Merwe , 1963b ) though complicated

An exact ( van der Merwe , 1963b ) though complicated

**solution**of the problem concerning overgrowths of intermediate thickness is presented using the rather unrealistic parabolic model ( B.2 ) . In Section III , F , 5 it was shown how ...Page 98

First Approximation This approach uses the exact

First Approximation This approach uses the exact

**solution**( 4.42 ) , namely , Vo = { + 1-1 arctan { [ 1 + B - 2 ) h + ß- ? ] tan { X } ( C.6 ) of the simple model as an approximation of the**solution**of ( C.5 ) .### What people are saying - Write a review

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### Contents

Epitaxial Interfaces | 3 |

Thin Films | 15 |

Semiinfinite Overgrowths | 37 |

Copyright | |

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### Common terms and phrases

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 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