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Ch.12 - Solids and Modern Materials

Chapter 12, Problem 33a

Consider the unit cells shown here for three different structures that are commonly observed for metallic elements. (a) Which structure(s) corresponds to the densest packing of atoms?

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Hello everyone today. We are being given the following problem identify which unit cell below has the densest packing of atoms. So first you want to calculate the packing efficiency. So for a we know that this is going to be an end centered cubic And so that is going to have a dancing. A dense packing of atoms of 37%. B is known as a face center to cube, And that's going to have 74% packing efficiency. And last but not least, C is going to be representative of simple cubic, which will give About 53%. And so the highest side of these is going to be B and B is our answer overall, I hope this helped and until next time.