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Objectives. By the end of this section you should: be able to identify and draw the perovskite structure understand how the perovskite structure can become polarisable know the basic properties of barium titanate know the basic properties of YBa 2 Cu 3 O 7
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Objectives By the end of this section you should: • be able to identify and draw the perovskite structure • understand how the perovskite structure can become polarisable • know the basic properties of barium titanate • know the basic properties of YBa2Cu3O7 • understand how properties are modified by appropriate substitutions
Perovskite -an Inorganic Chameleon • CaTiO3 - dielectric • BaTiO3 - ferroelectric • Pb(Mg1/3Nb2/3)O3 - relaxor ferroelectric • Pb(Zr1-xTix)O3 - piezoelectric • (Ba1-xLax)TiO3 - semiconductor • (Y1/3Ba2/3)CuO3-x - superconductor • NaxWO3 - mixed conductor; electrochromic • SrCeO3 - H - protonic conductor • RECoO3-x - mixed conductor • (Li0.5-3xLa0.5+x)TiO3 - lithium ion conductor • LaMnO3-x - Giant magneto- resistance ABX3 - three compositional variables, A, B and X
Perovskite Structure In SrTiO3, Ti-O = a/2 = 1.955 Å Sr-O = a2/2 = 2.765 Å ABO3 e.g. KNbO3 SrTiO3 LaMnO3 SrTiO3 cubic, a = 3.91 Å CN of A=12, CN of B=6 OR
Close Packed?? • Not traditional close packing - mixed cation/anion AX3 ccp layers. B in 1/4 of octahedral sites
In SrTiO3, Ti-O ~ 1.95 Å a typical bond length for Ti-O; stable as a cubic structure larger In BaTiO3, Ti-O is stretched, > 2.0 Å Too long for a stable structure. Ti displaces off its central position towards one oxygen square pyramidal coordination
This creates a net dipole moment : Displacement by 5-10% Ti-O bond length Random dipole orientations paraelectric Aligned dipole orientations ferroelectric Under an applied electric field, dipole orientations can be reversed, i.e. the structure is polarisable Dipoles tend to be ‘frozen in’ at room temperature; as increase temperature, thermal vibrations increase the polarisability
Define the permittivity or dielectric constant of a material by: H2O is a polar liquid; ´ ~ 80 Typical ionic solids; ´ ~ 10 Air; ´ ~ 1 BaTiO3 :-
Below 120°C, BaTiO3 is ferroelectric with aligned dipoles. Residual dipole disorder gives ´~200-1000 At ~127°C, tetragonal cubic phase transition. Dipoles randomise and ´ increases to ~5,000-10,000
For capacitor applications, need to increase capacitance [energy stored/mass or volume] by increasing Q and thus increasing How to do this? BaTiO3 is very good at 120°C but want high at room temperature! 1) Partial substitution of Ba by a smaller M2+ ion - Sr2+ ; unit cell volume decreases and the phase transition temperature decreases
2) Disrupt dipoles by modifying B-site ions 3 Ti4+ Mg2+ + 2 Nb5+ Ti-O ~ 1.96 Å; Nb-O ~2.02Å, Mg-O ~ 2.12Å NbO6 octahedra may be polar; MgO6 octahedra are not. Pb(Mg1/3Nb2/3)O3 ‘PMN’ a relaxor ferroelectric
Superconductors YBa2Cu3O7- Perovskite? (YBa2) Cu3 O9-x Oxygen Deficient Triple Perovskite Crosses mark absent oxygens
Properties YBa2Cu3O7 superconductor - resistance lost completely at temperature Tc YBa2Cu3O6 semiconductor - oxygen lost from base of unit cell
Properties YBa2Cu3O7 superconductor - perfect diamagnet (excludes a magnetic field) Magnetic levitation • http://www.youtube.com/watch?v=hksy_4Zmh80 • http://www.realboring.com/floating-magnet/ Alert!
Properties YBa2Cu3O7- As increases: 1) Tc decreases 2) symmetry changes from orthorhombic to tetragonal (oxygen atoms rearrange in base) O = orthorhombic, T = tetragonal
Changing Properties? Can substitute many elements into YBa2Cu3O7 structure: Y lanthanides - no change in Tc Y other elements - decrease in Tc Ba Sr, Ca - decrease in Tc Cu transition metals - decrease in Tc Cu Au - very slight increase? Ba La - very slight increase? Generally detrimental! Skakle, .Mat. Sci. Eng: R: Reports, 23 1-40 (1998)
Summary • The perovskite structure, typified by the formula ABX3, is a highly adaptable structure • In BaTiO3, Ti is displaced from its site to create a dipole - alignment of this dipole leads to interesting electrical properties • BaTiO3 undergoes a paraelectric-ferroelectric transition at 120ºC. This may be modified by chemical substitutions. • The superconductor YBa2Cu3O7- (YBCO) can be described as an oxygen deficient perovskite • The properties of YBCO change with the crystal structure.