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# test1 - Home Introduction Policies Requirements Grading...

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Home Introduction Policies Requirements & Grading Resources Syllabus Assignments Handouts Discussion Web Links Distance Learners Contact TEST#1 MSE 200 Test#1 , October 2, 2001 , S.S.No: Read the questions carefully and answer on the backside also. 1. Determine the Miller indices of the atomic plane and the atomic direction (AB) shown in Figures below. Is the direction contained in the plane . points:10

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Miller indices for the plane:Choose the origin on the top right corner and the right handed coordinate system, c axis going up. Intercepts: 1/2,1/2, -1 ; reciprocals :2,2,-1; common denominator:1; replace negative with a bar and enclose in parenthesis: (2 2 1 - ) Miller indices for the direction:Choose the right handed coordinate system at the bottom right corner. Initial point A: 1,0,0, Final point B:0,1,0, Substract coordinates of the initial point from that of the final point, replace the negative sign with a bar, and take out any common factor and enclose in square brackets: [ - 110] hu+kv+lw=0 if the direction is contained in the plane: 2x(-1) +2(1)-1(0)=0, yes the direction is contained in the plane. 2. Draw the crystallographic plane with Miller indices (112) and the direction [111 - ]. Is the direction contained in the given plane. What is the shortest distance between atoms in bcc lattice and fcc lattice. points:6 Atomic plane: Intercepts 1,1,1/2, join the points connecting these intercepts or 2,2,1
The atomic plane (112) and the direction [111 - ] The direction is contained in the plane. Shortest distance between atoms is along the face diagonal=1.414 a/2 a=lattice parameter Shortest distance between atoms in bcc is along the body diagonal=1.732a/2 3. Draw the interatomic force vs interatomic distance of separation for a strong solid and a weak solid. Use back side. points:4 4. X-ray diffraction of aluminum powder was taken using Cu Ka raduation with wave length l=0.154 nm. If the lattice parameter of aluminum is 0.406nm, Give 3 Bragg angles at which X-ray peaks will

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