Which atomic radius equation corresponds to the body-centered cubic (BCC) structure? A) r = a0 / 4 B) r = a0 / 2√2 C) r = 4a0 / 3 D) r = a0 / 2
Understand the Problem
The question is asking which equation represents the atomic radius for a body-centered cubic (BCC) structure, which involves relating the atomic radius (r) to the lattice parameter (a0).
Answer
r = a0 √3 / 4
The final answer is: r = a0 √3 / 4.
Answer for screen readers
The final answer is: r = a0 √3 / 4.
More Information
The correct relationship for the atomic radius (r) in a body-centered cubic (BCC) structure is r = a0 √3 / 4 where a0 is the lattice parameter.
Tips
A common mistake is to forget the √3 factor, which comes from the geometry of the BCC unit cell.
Sources
- Solved Show for the body-centered cubic crystal structure | Chegg.com - chegg.com
- Body Centered Cubic (bcc) - Physics in a Nutshell - physics-in-a-nutshell.com
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