Study of dielectric and resonance and anti-resonance property of dielectric relaxor ceramic: [Ba(Nd _0.1 Ti _0.8 Nb _0.1 )O ₃ ] _0.50 [Na _0.5 Bi _0.5 TiO ₃ ] _0.40 [CaTiO ₃ ] _0.10

[BaNd0.1Ti0.8Nb0.1O3]0.50[Na0.5Bi0.5TiO3]0.40[CaTiO3]0.10 ceramic was prepared through solid state double sintering method. The XRD results indicate that the ceramic sample have a cubic structure at room temperature. The average grain size was found to be around 4–6 μm. Dielectric studies revealed that the present materials exhibit relaxor behaviour. From piezoelectric studies, it is observed that the resonance and anti-resonance peaks was broad for ceramic sample studied under clamped state when compared to ceramic sample studied under free State. The values of Kt & Keff at room temperature for ceramic samples studied under clamped state were 0.751, 0.718 respectively. Modified Lorentz equation was used to characterize the dielectric and resonance & anti-resonance behaviour and was found to best fit to the experimental data. The activation energy for thermally activated orientation of dipoles was in the range 80–90 μeV. The piezoelectric charge constant (d33) and piezoelectric voltage constant (g33) for the ceramic sample studied under free state are 1.359 × 10−9 (m/V) and 2.526 × 10−11 (m2/C) respectively.