[Olympiad] Chromium crystallizes in a body-centered cubic (BCC) lattice. If the atomic radius of Cr is 125 pm, what is the length of the unit cell edge?

  1. 250.0 pm
  2. 288.7 pm
  3. 353.5 pm
  4. 433.0 pm

📝 Detailed explanation

In BCC, the atoms touch along the body diagonal. √3 * a = 4r.
a = 4r / √3 = 4 * 125 / 1.732 = 500 / 1.732 = 288.67 pm.
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