calculate the number of atoms in a cubic unit cell having one atom on each corner and two atom on each body diagonal.
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There are four body diagonals in a cube. As there are two atoms on each diagonal, there are a total of 4 x 2 = 8 atoms on the diagonals. These 8 atoms are within the body of the cubic unit cell and are not shared by other units.
The contribution of 8 corner atoms, 8 x (1/8) = 1 atom
Therefore, total number of atoms in the unit cell = 8 + 1 = 9 atoms
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