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.

What is the edge length of the lithium chloride face-centered cubic structure mentioned in the video?

• 0.514 nanometers

• 0.714 nanometers

• 0.914 nanometers

• 0.314 nanometers

In a face-centered cubic structure, where are the larger chloride ions located?

• Randomly distributed in the unit cell

• At the center of each face of the unit cell

• At the center of the unit cell

• At the corners of the unit cell

How many radii of the chloride ion does the hypotenuse of the triangle span in the face-centered cubic structure?

• 4 radii

• 5 radii

• 2 radii

• 3 radii

What mathematical theorem is used to calculate the hypotenuse in the video?

• Fermat's Last Theorem

• Fundamental theorem of calculus

• Binomial theorem

• Pythagorean theorem

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

• 0.482 nanometers

• 0.382 nanometers

• 0.282 nanometers

• 0.182 nanometers