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Electron scattering in a crystal lattice
Affiliation:1. CD-FMat, National Institute of Advanced Industrial Science and Technology, Tsukuba, Ibaraki 305-8568, Japan;2. The Institute for Solid State Physics, The University of Tokyo, Kashiwa, Chiba 277-8581, Japan;3. Center for Computational Sciences, University of Tsukuba, Tsukuba, Ibaraki 305-8577, Japan;4. ESICMM, National Institute for Materials Science, Tsukuba, Ibaraki 305-0047, Japan
Abstract:For some types of crystals it is permissible to assume that within a spherical region surrounding each ion the potential is spherically symmetric and that in the innerspace between these spherical regions the potential is constant. Schrödinger's equation is solved for such a potential distribution in which the spherical potential wells are not all alike. Both propagating and non-propagating solutions are considered. An asymptotic evaluation of the wave scattered by an impurity ion is carried out. From this, a calculation of residual resistance in alkali metal alloys is obtained.
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