Equilibrium States of a Negative Molecular Ion near the Surface of a Solid Dielectrict

D. I. Zhukhovitskii

Institute of High Temperatures, Russian Academy of Sciences,
Izhorskaya ul. 13/19, Moscow, 125412 Russia

Abstract—The states of a negative molecular ion near the flat surface of a solid dielectric were analyzed by solving a two-dimensional Schrödinger equation for an electron interacting with the molecule and the dielectric. The solution was constructed in the form of an expansion in the eigenfunctions of the squared orbital angular momentum. The expansion took into account the s, p, d, f, and g states for the simplest form of the model electron–solid interaction potential. The approximate solution was demonstrated to converge rapidly to the exact one. A realistic electron–solid interaction potential was constructed by calculating the work of image forces. The existence of equilibrium “levitation” states of the ion near the surface was predicted.


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