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# 503hw4 - Solution to Homework#4 1 Write the defect...

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Solution to Homework #4 1. Write the defect equations for the following proposed reactions: A. Formation of major defects in PbCl 2 . null V V Pb Cl = + " 2 B. Formation of major defects in CdO which is an n-type semiconductor. CdO Cd O = + + •• int 2 1 2 2 Q or CdO V Cd O O Cd x = + + + •• 2 1 2 2 Q C. Doping CoO, a p-type semiconductor, with Li 2 O; with Cr 2 O 3 ; with MnS; and with CoCl 2 . 1 2 2 2 O V O Co O x = + ¯ + " 1 2 2 2 2 2 2 O Li O Li O Co O x + = + ¯ + Cr O Cr V O Co Co O x 2 3 2 3 = + + " MnS Mn S Co x O x = + CoCl Cl V Co O Co Co x 2 2 = + + " D. Formation of major defects in AgI. AgI V Ag I Ag I x = + + int (Frenkel) E. Doping AgI with CdI 2 ; with Ag 2 S; and with AgCl. CdI Cd V I Ag Ag I x 2 2 = + + Ag S S Ag Ag I Ag x 2 = + + int AgCl Ag Cl Ag x I x = + 2. Obtain an expression for the diffusion coefficient of nickel in NiO as a function of oxygen pressure. NiO — p-type, cation deficient \ 1 2 2 2 O O V O x Ni = + + ¯ " (1) [ ] [ ] K P V O Ni 1 1 2 2 2 ° = ° ¯ / " (2) [ ] [ ] 2 V Ni " = ¯ (3) solve for [ ] V Ni " from (2) and (3): [ ] V K P Ni O " / 3 1 1 2 4 2 = ° or [ ] V

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