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Localized states of an excess electron in ionic clusters | | K.V. Grigorishin
; B.I. Lev
; | | Date: |
25 Nov 2012 | | Abstract: | A theory for an electron affinity of ionic clusters is proposed both in a
quasiclassical approach and with quantization of a polarization electric field
in a nanoparticle. An interaction of an electron with longitudinal optical
phonons in an ionic cluster is described. A critical size of the cluster
regarding in formation of an electron’s autolocalized state, dependencies of an
energy and a radius of a polaron on a cluster’s size are obtained by a
variational method. It has been found that a binding energy of the electron in
a cluster depends on a cluster’s radius but the radius of electron’s
autolocalization does not depend on cluster’s radius and equals to the polaron
radius in a corresponding infinity crystal, moreover the bound state of the
electron in a cluster is possible if the cluster’s radius is more then the
polaron radius. A perturbation method for finding of the critical parameters is
proposed, where an dependence of the critical size on a momentum of an electron
in a conduction band is observed. | | Source: | arXiv, 1211.5744 | | Services: | Forum | Review | PDF | Favorites | |
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