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Session #16: Homework Solutions - MIT OpenCourseWare

Session #16: Homework Solutions Problem #1. For the element copper (Cu) determine: (a) the distance of second nearest neighbors. (b) the interplanar spacing of {110} planes. Solution (a) The answer can be found by looking at a unit cell of Cu (FCC). Nearest neighbor distance is observed along <110>; second-nearest along <100>. The second-nearest neighbor distance is found to be a (Another way of finding it is looking at LN4, page 12). N. Cu: atomic volume = 10-6 m3 / mole = A a3 (Cu: FCC; 4 atoms/unit cell). 4. 10-6 4. a= 3 = 10-10 m 23. 10. a (b) dhkl =. h2 + k2 + 12. 10-10. d110 = = 10-10 m 2. Problem #2. Consider a (111) plane in an FCC structure. How many different [110]-type directions lie in this (111) plane? Write out the indices for each such direction.

Session #16: Homework Solutions Problem #1 For the element copper (Cu) determine: (a) the distance of second nearest neighbors. (b) the interplanar spacing of {110} planes. Solution (a) The answer can be found by looking at a unit cell of Cu (FCC). Nearest neighbor distance is observed along <110>; second-nearest along <100>.

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