Question

How the dielectric rigidity depends on the shape of material?

Answer 1

The dielectric constant of the film depends on its thickness in a simple way predicted by the developed

model. The approach considers polar dielectric regions by inclusions of different shape. The dielectric

permittivity varies most strongly (~5%) for cylindrical inclusions. In turn, the most significant

variation of the dipole moment is demonstrated by the sphere in contact with the interface. Accounting

for the finite film thickness leads to the anisotropy of the dielectric constant. Even if the film is made

of a homogeneous material, its dielectric constant depends on the direction of the electric field. For a

film thickness of 10nm, the difference of dielectric permittivities ε⊥,ef and ε∥,ef is about 1%. The

presented equations can be used to find the dielectric constant of the mixture and allow to describe the

properties of polycrystalline films as a function of the size and shape of the grains. The more exact

expressions must take into consideration the influence of the elastic field and the impact of the ball's

field on the interface dielectric permittivity.

Answer 2

The dielectric constant of the film depends on its thickness in a simple way predicted by the developed

model. The approach considers polar dielectric regions by inclusions of different shape. The dielectric

permittivity varies most strongly (~5%) for cylindrical inclusions. In turn, the most significant

variation of the dipole moment is demonstrated by the sphere in contact with the interface. Accounting

for the finite film thickness leads to the anisotropy of the dielectric constant. Even if the film is made

of a homogeneous material, its dielectric constant depends on the direction of the electric field. For a

film thickness of 10nm, the difference of dielectric permittivities ε⊥,ef and ε∥,ef is about 1%. The

presented equations can be used to find the dielectric constant of the mixture and allow to describe the

properties of polycrystalline films as a function of the size and shape of the grains. The more exact

expressions must take into consideration the influence of the elastic field and the impact of the ball's

field on the interface dielectric permittivity.