Calculate the packing efficiency of metal crystal that has simple cubic structure?

Question: Calculate the packing efficiency of metal crystal that has simple cubic structure?

The packing efficiency of a metal crystal with a simple cubic structure can be calculated by determining the ratio of the volume of the atoms in the unit cell to the total volume of the unit cell. In a simple cubic unit cell, there is only one atom located at each of the eight corners of the cube. Each atom is in contact with six neighboring atoms, and its radius is equal to half the distance between adjacent atoms. By considering the dimensions of the cube and the size of the atom, it can be determined that the packing efficiency of a simple cubic structure is 52.4%. This means that only about half of the total volume of the unit cell is occupied by the atoms, while the rest of the space is empty.

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