Q. 5. (15 points) Compute the radius r of an impurity atom that will just fit into a BCC tetrahed...
In class we showed that the radius r of an interstitial that can just fit in a octahedral site (without causing lattice distortion) in an FCC crystal as a function of the atomic radius of the host atom R is r=0.441 R. Based on this relationship and taking into account the atomic radii for C and Fe given in the table of problem 4, do you expect some lattice distortion when Coccupies octahedral interstitial sites in FCC iron? Element Atomic...
Consider the points: P (-1,0, -1), Q (0,1,1), and R(-1,-1,0). 1.) Compute PQ and PR. 2.) Using the vectors computed above, find the equation of the plane containing the points P, Q, and R. Write it in standard form. 3.) Find the angle between the plane you just computed, and the plane given by: 2+y+z=122 Leave your answer in the form of an inverse trigonometric function.
Material and Science Engineering (chemistry and physics II) [5 Points] In the solidification of a pure metal, what are the two energies involved in the transformation? Write the equation for the total free-energy change involved in the transformation of liquid to produce a strain-free solid nucleus by homogeneous nucleation 1. 2. [5 Points] In the solidification of a metal, what is the difference between an embryo and a nucleus? 3. 5 Points] Distinguish between homogeneous and heterogeneous nucleation for the...