Metallic Edge

Metallic Edge
Face-Centered Cubic edge length question?

A metallic element with radius 128 pm crystallizes in a face-centered cubic unit cell. What is edge length of the unit cell?

256 pm
362 pm
295 pm
326 pm
none of the above

Using the Pythagorean Theorem, we arrive at this:

radius of the atom = edge length times (2√2)

At this address:

http://www.chemteam.info/Liquids&Solids/WS-fcc-AP.html

I have a discussion of the above equation in problem #1.

Let d = the edge length

128 pm = d times (2√2)

d = 362 pm

Creating a Metallic Edge


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