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A simple model for an atom has a tiny (point-like) nucleus with charge +$Ze$ is located at the center of a uniform sphere of charge with radius $a$ and total charge -$Ze$. The atom is placed in a uniform electric field which displaces the nucleus as shown. Find:

a) The equilibrium separation $d$ of the nucleus from the center of the spherical electron cloud;

b) The approximate average polarization density (dipole moment per unit volume) of the polarized atom.


Robert G. Brown 2003-02-09