Treatise on Materials Science and TechnologyHerbert Herman |
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Page 18
... Equations of Single Atoms The equilibrium equations of the ( n , m ) th atom are aЕlanm = ǝE / ǝnnm = 0 The first of these yields , on using ( 3.12 ) , the result 0 = aWx sin 275mm - 2 { 2 [ ax ( n + 1 - μ { [ αx2 ( n + 1 , m − 25nm + ...
... Equations of Single Atoms The equilibrium equations of the ( n , m ) th atom are aЕlanm = ǝE / ǝnnm = 0 The first of these yields , on using ( 3.12 ) , the result 0 = aWx sin 275mm - 2 { 2 [ ax ( n + 1 - μ { [ αx2 ( n + 1 , m − 25nm + ...
Page 19
... Equations 1. PRELIMINARY CONSIDERATIONS Even though differential equations are analytically much simpler to handle than difference equations it is only possible to solve equations of the kind given in ( 3.17 ) for certain simple cases ...
... Equations 1. PRELIMINARY CONSIDERATIONS Even though differential equations are analytically much simpler to handle than difference equations it is only possible to solve equations of the kind given in ( 3.17 ) for certain simple cases ...
Page 21
... equations that the ŋ term vanishes , η the resulting equation yields a solution for & , which , when fed into the second equation , must give a nonvanishing solution for 7. This shows that the equa- tions cannot be separated as in the ...
... equations that the ŋ term vanishes , η the resulting equation yields a solution for & , which , when fed into the second equation , must give a nonvanishing solution for 7. This shows that the equa- tions cannot be separated as in the ...
Contents
Epitaxial Interfaces | 3 |
Thin Films | 15 |
Semiinfinite Overgrowths | 37 |
Copyright | |
13 other sections not shown
Common terms and phrases
a-site alloy Amer anisotropy Appl approximation atoms average axis B₁ Bragg Bragg reflections c-sites calculated cations coefficients coherent compounds concentration configuration constant Cooper pairs curve Debye-Waller factor defect density dependence discussed displacement elastic electron energy epitaxial equation experimental factor ferrimagnetic field film flux lines function garnet garnet structure GdIG Geller IAEA impurity Inelastic Scattering interaction interface iron garnets k₁ lattice constant lattice parameter Lett magnetic magnetocrystalline anisotropy measured Merwe method misfit misfit dislocations mode neutron scattering normal obtained overgrowth phase phonon Phys plane potential Proc properties R₁ rare earth rare earth ions reciprocal lattice resolution sample scattering cross section shown in Fig single crystal small angle solid strain stress sublattice substrate superconducting surface symmetry Table temperature thermal thickness transition metal values vector X-ray YGaG νμ ΦΩ