PIEZOELECTRICITY 12/12/2021 1 POLARIZATION When we place a material(dielectric) in the electric field its becomes polarized, as the result of polarization dipoles are form Two charges having same in magnitude separated by the small distance(less then atomic diameter) form a dipole Dielectric is an electrical insulator that can be polarized by an applied electric field Dielectric has very few free electrons Although charges in dielectric are not able to move freely, there may be a displacement of charges when an electric field is applied which results polarization 12/12/2021 - - + - - - - - - - - Unpolarized - - - - - + - - - - - - Polarized + d - Dipole moment 2 PIEZOELECTRICITY When a mechanical stress is applied on a certain crystal for example, quartz (𝑆𝑖𝑂2 ) and (𝐵𝑎𝑇𝑖𝑂3 ), becomes polarized. Charge appears on the surface of crystal. The appearance of surface charge leads to voltage difference b/w two surfaces of crystal. This phenomenon is known as piezoelectricity. The same effect is also exhibit mechanical strain when electric field is applied. 12/12/2021 3 PIEZOELECTRICITY FORCE -------------- ++++++++++ P=0 12/12/2021 Crystal is strained by the force that induce the polarization in the crystal and generate surface charges P≠0 4 CENTRAL SYMMETRY If we draw a vector from point o to any charge and then reverse the vector we will find the same charge this unit cell is said to be central symmetry e.g. NaCl In the absence of applied force the centre of mass of positive and negative charge is coincide This condition will no change when the force is applied The centre of mass is not change The net polarization before and after remain zero + - + - + - + - + P=0 + - + - + - + - + P=0 F 12/12/2021 5 NONCENTRAL SYMMETRY If we draw a vector from point o to any charge and then reverse the vector we will not find the same charge this unit cell is said to be noncentral symmetry e.g. 𝐵𝑎𝑇𝑖𝑂3 In the absence of applied force the centre of mass of positive and negative charge is coincide This condition will be change when the force is applied The centre of mass changes The net polarization before and after remain is not zero + - - - + + + - 12/12/2021 + - + - - - + + + -