Final answer:
The atomic packing factor (APF) for cesium chloride can be computed by considering the arrangement of Cs+ and Cl¯ ions in the crystal structure. In CsCl, each cesium ion is surrounded by eight chloride ions and each chloride ion is surrounded by eight cesium ions. The APF is calculated by dividing the volume occupied by the atoms in the unit cell by the total volume of the unit cell.
Step-by-step explanation:
The atomic packing factor (APF) is a measure of how efficiently atoms are packed in a crystal lattice. To compute the APF for cesium chloride (CsCl), we need to consider the arrangement of Cs+ and Cl¯ ions in the crystal structure.
In the CsCl structure, each cesium ion is surrounded by eight chloride ions at the corners of a cube, while each chloride ion is surrounded by eight cesium ions. This gives the coordination numbers of both ions as 8. The lattice points are geometrically equivalent, leading to (8,8) coordination.
The APF is calculated by dividing the volume occupied by the atoms in the unit cell by the total volume of the unit cell. For CsCl, the APF can be found by considering the radii of the Cs+ and Cl¯ ions and their arrangement in the crystal structure.