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MS-EST_143_HW2

MS-EST_143_HW2 - 2 in NaCl ii Solid solution of CaO in ZrO...

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1 MS/EST 143, Problem Set #2 assigned 04/03/11 due 04/08/11 1. Calculate the equilibrium concentration (#/#) and equilibrium number (#/volume) of vacancies in copper at 1000 °C. The activation enthalpy for vacancy formation is 0.9 eV/atom and the density at 1000 °C is 8.4 g/cm 3 . State any assumptions. 2. Write formally correct defect information reactions and the corresponding mass action equilibrium constants for the following. Refer to tabulated ionic radii for guidance ( e.g. provided in Chiang, Table 1.2). If you think more than one incorporation mechanism is possible, briefly discuss why and show the different possibilities. i. Solid solution of CaCl
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Unformatted text preview: 2 in NaCl ii. Solid solution of CaO in ZrO 2 iii. Solid solution of SrTiO 3 in BaTiO 3 iv. Solid solution of Y 2 O 3 in BaTiO 3 v. Solid solution of Nb 2 O 5 in BaTiO 3 vi. Solid solution of Al 2 O 3 in BaTiO 3 3. LiF has a Schottky formation energy of 2.6 eV and a bandgap of 12 eV. At 500 °C estimate the relative concentrations of ionic and electronic defects, and determine which are dominant on an absolute concentration basis. 4. Construct the Brouwer diagram for a pure binary oxide MO of the rocksalt structure for which, at the temperature of interest, K i >> K s . (That is, the bandgap is small relative to the Schottky energy)....
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