Problem 65
Page 474
Section: Problems by Topic
Chapter 11: Liquids, Solids, and Intermolecular Forces
Given information
The unit cells for cesium chloride and barium() chloride are pictured here. Show that the ratio of cations to anions in each unit cell corresponds to the ratio of cations to anions in the formula of each compound.
Step-by-step explanation
Cesium chloride unit cell:
It has a body-centered cubic structure with cesium ions at the center of the cube. And chloride ions are at the corners of the cube.
Hence the number of effective barium ions in a unit cell,
Number of effective chloride ions in a unit cell,
Thus the ratio of cation and anion in a unit cell is
The formula of cesium chloride is . And the ratio of cation to anion in the formula is
Thus in the unit cell for cesium chloride ratio of cations to anions in each unit cell corresponds to the ratio of cations to anions in the formula of each compound.