Modified Lorentz equation to describe the resonance and anti-resonance behaviour of piezoelectric ceramics

ABSTRACT

Modified Lorentz equation is proposed to describe the resonance and anti-resonance behaviour of piezoelectric ceramics. It is applied to Ba(Nd_xTi_1−2xNb_x)O₃, (Na_0.5Bi_0.5)(Nd_yTi_1−2yNb_y)O₃ and Sr_1−2zNa_zNd_zBi₄Ti₄O₁₅ piezoelectric ceramics by non linear curve fitting to experimental data to check its validity. The validity is checked from the regression values obtained. The static dielectric constant, infinite dielectric constant, polarizability, piezoelectric charge constant and piezoelectric voltage constant obtained from the non linear curve fitting to experimental data by using modified Lorentz equation have reasonable values. The above modified equation may also be used to describe the resonance and anti-resonance behaviour of other piezoelectric ceramics.

KEYWORDS:

• Polarizability
• piezoelectric
• resonance
• anti-resonance
• modified Lorentz equation