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please solve P2. [20 Points] Consider a face-centered cubic lattice. Assume the atoms are hard spheres with the surface of the nearest neighbors touching. Assume

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P2. [20 Points] Consider a face-centered cubic lattice. Assume the atoms are hard spheres with the surface of the nearest neighbors touching. Assume the radius of the atom is 2.25 A . (a) Calculate the volume density (numbers/cm3) of atoms in the crystal. (b) Calculate the distance (A ) between the nearest (1 10) planes. (c) Calculate the surface density (numbers/em?) of atoms on the (110) plane

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