First principle calculation within the Density Functional Theory (DFT) and Density Functional Perturbation Theory (DFPT) using Local Density Approximation as implemented in Quantum ESPRESSO has been significantly used to investigate the structural and Piezoelectric, properties of Perovskite ZrTi(PbO 3) 2. From structural properties calculation, the ground state total energy of −2417.12 eV has been obtained which led to an equilibrium lattice constant of a= 5.620Å for ZrTi(PbO 3) 2. Our obtained optimized atomic positions and atomic effective charge shows that the optimized ZrTi(PbO 3) 2 is stable and the Piezoelectric stress tensor is calculated using Berry-phase approach within density functional perturbation theory (DFPT). From our calculation, we have obtained the stress tensor elements with values of 1,5 d = 6.81, 3,1 d = 1.69, and 3,3 d = 6.18, which is in agreement with the values obtained for tetragonal PbTiO 3 .
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