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HW3 F10 - Department of Materials Science and Engineering...

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Department of Materials Science and Engineering University of Maryland College Park, MD ENMA 300: Problem Set #3 1. Lattices (2D and 3D) Identify the lattices and the unit cell in the following images: (a) [Source: M. C. Escher] (b) [Source: M.C. Escher] (c) The “Schwarz P surface” defines two 3D networks of channels (the ‘inside’ and the ‘outside’), that are actually identical in shape. On the right is a magnified portion of the surface. [Source: Min Lai et al., Chem. Comm. 2007] Page 1 of 3
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(d) 2. Packing Densities - Ceramics Compute the Atomic Packing Factor for a rock salt crystal with r cation /r anion = 0.414, 0.54 and 1. Comment on the results, comparing them to the APF of metals. 3. Crystallographic Points and Planes a. Provide the coordinates of the atoms in the unit cell of the FCC structure. b. Mark 3 non-parallel planes of the {1 0 0} family in a 4x4x4 section of the simple cubic lattice. For example, in the drawing below the lattice points on a (0 0 1) plane were marked in blue. They include: 0,0,3 1,0,3 2,0,3 3,0,3 0,1,3 1,1,3 2,1,3 3,1,3 etc… It is
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