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I need help on this problem (kinetics of material), please help me to solve it and write the solution correctly and detailed . Thank you!
I need help on this problem (kinetics of material), please help me to solve it and write the solution correctly and detailed. Thank you!
(25 points, 5 for each) Carbon atoms proceed interstitial diffusions through octahedral sites (osite) in BCC and FCC irons shown in Fig. 2. (1) Please properly list the general forms of DC,BCC and DC,FCC in terms of the migration enthalpy hIm, the migration entropy SIm, the nearest neighbor distance in the unit of lattice constant a, and atomic vibration frequency v0. (2) Assuming exp(kSIm)1 for both BCC and FCC, please calculate DC,BCC at 900C and (3)DC,FCC at 1100C. (4) Which crystal structure does diffuse carbons faster at 900C ? (5) Carbon diffusion between o-sites in FCC iron is mediated by the tetrahedral sites with hC,FCCmt=0.05eV. Please calculate the effective DC,FCC at 900C. Given that the migration enthalpies through o-sites hC,BCCmo= 0.91eV,hC,FCCmo=1.43eV,aBCC=2.87A,aFCC=3.57A,rC,FCCo2rC,FCCot,vo=1013s1 and NN means "the nearest neighbors" and Boltzmann constant k=8.62105eV/K. (25 points, 5 for each) Carbon atoms proceed interstitial diffusions through octahedral sites (osite) in BCC and FCC irons shown in Fig. 2. (1) Please properly list the general forms of DC,BCC and DC,FCC in terms of the migration enthalpy hIm, the migration entropy SIm, the nearest neighbor distance in the unit of lattice constant a, and atomic vibration frequency v0. (2) Assuming exp(kSIm)1 for both BCC and FCC, please calculate DC,BCC at 900C and (3)DC,FCC at 1100C. (4) Which crystal structure does diffuse carbons faster at 900C ? (5) Carbon diffusion between o-sites in FCC iron is mediated by the tetrahedral sites with hC,FCCmt=0.05eV. Please calculate the effective DC,FCC at 900C. Given that the migration enthalpies through o-sites hC,BCCmo= 0.91eV,hC,FCCmo=1.43eV,aBCC=2.87A,aFCC=3.57A,rC,FCCo2rC,FCCot,vo=1013s1 and NN means "the nearest neighbors" and Boltzmann constant k=8.62105eV/KStep by Step Solution
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