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Unformatted text preview: +NlnN N (Nn)ln(Nn) +(Nn) nln n+n} G/ n = g kT{ln(Nn) +1 1ln n 1+1 ln(Nn) +1 1 ln n 1 +1} = g kTln{(Nn)(Nn)/n 2 } =0 (Nn)(Nn)/n 2 = exp (g/kT) Since N, N >>n NN/n 2 = exp (g/kT) n/ NN = exp (g/2kT) 3. Consider TiO 1.95 . Or what fraction of oxygen is vacant? What fraction of titanium is in Ti 3+ state? Oxygen vacancy 0.05/2 = 0.025 Assume x fraction of Ti is Ti 3+ , 1x fraction is Ti 4+ . 3x + 4(1x) = 2 times1.95 4 x = 3.90 x= 0.1...
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This note was uploaded on 04/29/2008 for the course MTLE 2100 taught by Professor Tomozawa during the Spring '08 term at Rensselaer Polytechnic Institute.
 Spring '08
 Tomozawa

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