The NaCl structure is derived from the FCC structure with the Cl- ions centered at the corners and the center of each face of a cubic unit cell.
The Na+ ions occupy positions centered on the cube edges between the Cl- ions and at the center of the cube.
Each atom at an edge of the unit cell is part of 4 unit cells; thus, it is 1/4 in the unit cell of interest.
There are 12 edge positions occupied by Na+ ions. Thus 12 positions at 1/4 atom per position equals 3 atoms. One additional Na+ ion is in the center of the unit cell, making a total of four Na+ ions.
Stoichiometry (empirical formula): Na4Cl4 or NaCl.
|