HW 3-Sol - (a) Nv 0.90 Q = exp v = exp 5 N kT (8.62 10...

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(a) 5 4 0.90 exp exp (8.62 10 )(1357) 4.56 10 vv NQ Nk T ⎡⎤ =−=− ⎢⎥ × ⎣⎦ (b) () 5 1 exp exp exp exp 1 exp 1 exp 8.62 10 S X VV B B HH k Xs kT k kT T α ⎛⎞ =− = ⎜⎟ ⎝⎠ ×⋅ 5 18 3 exp exp (6.023 23)(18.63) 0.98 exp 196.9 (8.62 10 )(1173) 3.52 10 ( ) vA A u v v Au QN Q NN kT A kT E cm ρ = = × (a) Cu, Pd (b) Ag, Al, Co, Cr, Fe, and Zn (c) C, H, and O
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(92.5)(63.55) 100 100 88% (92.5)(63.55) (7.5)(107.87) Ag Cu Ag Ag Cu Cu Ag CA C CA CA = × = ++ (7.5)(107.87) 100 100 12% (92.5)(63.55) (7.5)(107.87) Cu Ag Cu Ag Cu Cu Ag C = × = 3 ave ave ave A nA nA VN aN ρ == , 1/3 ave ave A nA a N ⎡⎤ = ⎢⎥ ⎣⎦ 8 23 100 100 80 20 107.9 106.4 4.050 10 100 100 6.023 10 80 20 10.49 12.02 Ag Pd Ag Pd A Ag Pd Ag Pd n n C C AA ac m N C C ρρ ⎛⎞ ⎜⎟ + + ⎢⎝ = × × + + ⎝⎠ Atoms on the side of boundary would bond to other side atoms. Thus there are fewer unsatisfied bonds along a grain boundary than surface. Thus surface energy would be greater than grain boundary energy.
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HW 3-Sol - (a) Nv 0.90 Q = exp v = exp 5 N kT (8.62 10...

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