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# Problem: For structures consisting of identical atoms, how many atoms are contained in the simple, body-centered, and face-centered cubic unit cells? Explain how you obtained the values.

###### FREE Expert Solution

We are asked how many atoms are contained in the simple, body-centered, and face-centered cubic unit cells for structures consisting of identical atoms.

A Simple cubic unit cell is composed of a cube with one atom at each of its corners

contribution
corner atoms                                 1/8

In a simple unit cell:

corner atoms = 8

# of atoms = 1 per 1 unit cell

There's 1 atom per simple cubic unit cell.

A body-centered cubic (BCC) unit cell is composed of a cube with one atom at each of its corners and one atom at the center of the cube

contribution
corner atoms                                 1/8
atoms in center                             1
atoms in face of the cube            1/2

In a BCC unit cell:

corner atoms = 8
atoms in center = 1

# of atoms = 2 per 1 unit cell

There's 2 atoms per body-centered unit cell.

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###### Problem Details

For structures consisting of identical atoms, how many atoms are contained in the simple, body-centered, and face-centered cubic unit cells? Explain how you obtained the values.