Figure 6: Derivation of the dielectric constant.
From: Giant dielectric and magnetoelectric responses in insulating nanogranular films at room temperature

(a) Ferromagnetic metal granules 1 and 2 embedded in insulating matrix. (b) A double potential wells illustrating an electric polarization due to tunneling of charge (electron) through the barrier from one well to the other back and forth under the ac electric field E(t). (c) The real parts of the dielectric constant are calculated from the equation (1) for three different values of β. The lines show the results of fitting values of β=0.6, 0.75, and 0.9, (Δε=185 (εs=195, ε∞=10), τr=1.65 × 10−5 s), and the circles represent the experimental results.