Practice Problem: Calculating Ionic Radius

The video tutorial explains how to calculate the ionic radius of chloride ions in lithium chloride, which adopts a face-centered cubic structure. It begins with an introduction to the concept of ionic radius and lattice structures. The tutorial then demonstrates how to create a diagram and form a right triangle to facilitate calculations. Using the Pythagorean theorem, the tutorial calculates the hypotenuse of the triangle, which represents four radii of the chloride ion. By dividing the hypotenuse by four, the radius of the chloride ion is determined to be 0.182 nanometers.

Describe the structure of lithium chloride and its significance in calculating ionic radius.

What is the edge length of lithium chloride in nanometers?

Explain how the Pythagorean theorem is used to find the diagonal in the context of ionic radius.

How do you calculate the radius of the chloride ion from the diagonal length?

What is the final calculated radius of the chloride ion in nanometers?