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Homework set 1 Homework set 1 1 How many atom(s) are in SC, BCC, FCC and diamond structures? Prove the filled fraction of space by atoms are ! ! , !! ! , !! ! , !! !" for SC, BCC, FCC and diamond stru[.]

Homework set 1 How many atom(s) are in SC, BCC, FCC and diamond structures? Prove the ! !! !! !! filled fraction of space by atoms are ! ,   ! , ! , !" for SC, BCC, FCC and diamond structures, respectively Supposing the atoms to be rigid spheres with diameter being 2r The building blocks of most high temperature (high Tc) cuprate superconductors are consisted of copper oxide layers, as illustrated in Figure Assume the distance between copper atoms (solid circles) is a Let us assume that these CuO2 layers are simply stacked with spacing c in the third dimension, and there are no other atoms in the crystal Assume the layers have a four-fold symmetry; and he crystal is tetragonal Cu a Figure CuO2 lattice Sketch the Bravais lattice and indicate a possible set of primitive vectors for this crystal What is the unit cell, and what is the basis? (For more information about High Tc superconductor, please visit: https://en.wikipedia.org/wiki/High-temperature_superconductivity)

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