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quiz2fall01 - ENSC 3313,Fall 2001 Answer any 4 Questions...

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7(P ENSC 3313, Fall 2001 Quiz 2 Name Answer any 4 Questions only, 1 point each . Draw a regular tetrahedron inside a cube (4 faces, all equilateral triangles). Thence, showa) a symmetry element identical for both cube and tetrahedron and b) another symmetry element that differs between the two. Different For example, the cube 4 fold axis is but 2 fold in the tetrahedron; the {010}, etc., is not a symmetry plane in the tetrahedron. Same The <111> 3 fold symmetry axis is common, as are the {110} symmetryplanes. \ ~ In a BCC point lattice of a = 0.4 nm, how many lattice points are there in a <110> direction per mm? From origin, we have 1 lattice point per ./2 a, per 0.5657 nm Hence -1.7678 x 107 per mm. -- Draw the plane ( 310) and the direction [121 3, in a cubic unit cell. For 12lanes, we use reciprocals. Intercepts are thus, -1/3, 1, 00 , hence the sketch. For directions, dividing by 2 to keep in 1 cell, we go Y2, then I, then- Y2.
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17 3 4. Gold is a heavy FCC metal. Please calculate its density in g/cm Atomic mass = 196.967, R (ionic) = 0.137 nm,
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