Unit Cell Video Lessons

Video Thumbnail

Concept

Problem: Titanium metal has a body-centered cubic unit cell. The density of titanium is 4.50 g/cm3. Calculate the edge length of the unit cell and a value for the atomic radius of titanium. ( Hint: In a body-centered arrangement of spheres, the spheres touch across the body diagonal.)

FREE Expert Solution

Step 1: Calculate volume of the unit cell from the density


volume=47.867 g Ti1 mol Ti×1 mol Ti6.022×1023 Ti atoms×2 Ti atoms1 unit cell ×1 cm34.50 g Ti

volume = 3.5328 x10-23 cm3/1 unit cell


Step 2: Calculate the edge length of the unit cell using the volume

volume of unit cell=volume of a cubevolume of unit cell=a3


95% (144 ratings)
View Complete Written Solution
Problem Details

Titanium metal has a body-centered cubic unit cell. The density of titanium is 4.50 g/cm3. Calculate the edge length of the unit cell and a value for the atomic radius of titanium. ( Hint: In a body-centered arrangement of spheres, the spheres touch across the body diagonal.)

Frequently Asked Questions

What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Unit Cell concept. You can view video lessons to learn Unit Cell. Or if you need more Unit Cell practice, you can also practice Unit Cell practice problems.

What professor is this problem relevant for?

Based on our data, we think this problem is relevant for Professor Schmidt's class at PURDUE.

What textbook is this problem found in?

Our data indicates that this problem or a close variation was asked in Chemistry: An Atoms First Approach - Zumdahl Atoms 1st 2nd Edition. You can also practice Chemistry: An Atoms First Approach - Zumdahl Atoms 1st 2nd Edition practice problems.