How the dielectric rigidity depends on the shape of material?
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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.
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.
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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.
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.
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