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# Problem: Show that the atomic packing factor for BCC is 0.68.

###### FREE Expert Solution

Atomic packing factor:

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

• corner atoms contribute 1/8 and the center atom contribute 1

# of atoms = 2 per 1 unit cell

Volume of atoms in unit cell:

Edge length, a:

$\overline{){\mathbf{a}}{\mathbf{=}}\frac{\mathbf{4}\mathbf{r}}{\sqrt{\mathbf{3}}}}\phantom{\rule{0ex}{0ex}}\phantom{\rule{0ex}{0ex}}\mathbf{r}\mathbf{=}\frac{\sqrt{\mathbf{3}}}{\mathbf{4}}\mathbf{a}$

a = edge length

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###### Problem Details

Show that the atomic packing factor for BCC is 0.68.

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 Meyer's class at CASE.