Module 4: Dielectric Ceramics: Basic Principles
  Frequency Dependence of Dielectric Properties: Resonance
 


4.7.2 Microscopic Examination of Polarizability

From the equation (4.83), for electronic polarization, we can write the electronic or atomic polarizability as

(4.89)

Here, we have replaced the subscript i with e for electrons.

We can get an expression for ω0 ( = (k (spring constant)/m (mass))1/2) by equating the restoring force (k.dx) and the force inducing the displacement. From that the atomic polarizability can be expressed as

(4.90)

which is nothing but equation (4.34) where we worked out the atomic polarizability just from force balance.

A similar analysis can be carried out for ionic polarization as well which is left to you as an exercise.