Question: looking at the crystal structures determine the relationship between a...

Looking at the crystal structures, determine the relationship between a and r for :

1. simple cubic (SC) unit cell?   _____a=2r_________
2. body-centered cubic (BCC) unit cell?   ____a=sqrt(3/16)*r____________
3. face-centered cubic (FCC) unit cell?   _________sqrt(8)*r_______

What is the total volume of each structure (ignoring the atoms)?   ________________

For each crystal structure, what is the volume of the cell taken up by atoms?

1. simple cubic (SC) unit cell?   ________________
2. body-centered cubic (BCC) unit cell?   ________________
3. face-centered cubic (FCC) unit cell?   ________________

Determine the atomic packing factor (APF) for each crystal structure.

1. simple cubic (SC) unit cell?   ________________
2. body-centered cubic (BCC) unit cell?   ________________
3. face-centered cubic (FCC) unit cell?   ________________

Group’s assigned structure (circle one):   SC                BCC                     FCC

What is the linear density in the [0 1 1] direction for your group’s assigned crystal structure?   (show work below)

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