We have to determine which one of the given four metals should have a body-centered cubic unit cell.
A unit cell is the smallest repeating unit in a crystal lattice. Whole crystal lattice can be built by repeating the unit cell in three dimensions.
The body-centered and face-centered cubic unit cells are shown below:
The densities of the elements K, Ca, Sc, and Ti are 0.86, 1.5, 3.2, and 4.5 g/cm3, respectively. One of these elements crystallizes in a body-centered cubic structure; the other three crystallize in a face-centered cubic structure.
Which one crystallizes in the body-centered cubic structure? Justify your answer.
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What scientific concept do you need to know in order to solve this problem?
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