# Problem: Perovskite is a compound with a cubic unit cell and has a strontium atom at the center of the cell, titanium atoms at the corners of the unit cell, and oxygen atoms at the centers of each edge of the unit cell.If the edge length of the unit cell is 3.905 Å, calculate the density of perovskite in g/cm3 m g/cm^3.

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###### FREE Expert Solution

In this problem, we asked to find the density of the cubic unit cell, perovskite (in g/cm3), given the edge length.

When examining the particles within a crystal you may observe them tightly packed in an organized pattern. The smallest portion of which is termed the unit cell

The face-centered cubic unit cell is composed of a cube with one atom at each of its corners and one atom in the center of each cube face

To solve this problem:

Step 1. Determine the formula of the compound.

Step 2. Find the mass of the unit cell.

Step 3. Determine the volume of the unit cell

Step 4. Calculate the density of the unit cell. ###### Problem Details

Perovskite is a compound with a cubic unit cell and has a strontium atom at the center of the cell, titanium atoms at the corners of the unit cell, and oxygen atoms at the centers of each edge of the unit cell.

If the edge length of the unit cell is 3.905 Å, calculate the density of perovskite in g/cm3.