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COMEDK · Chemistry · 16. Solid State

Sodium metal crystallises in a body centred cubic lattice with a unit cell edge of \(4.29 Å\). The radius of sodium atom is

  1. A \(1.86 Å\)
  2. B \(3.22 Å\)
  3. C \(5.72 Å\)
  4. D \(0.93 Å\)
Verified Solution

Answer & Solution

Correct Answer

(A) \(1.86 Å\)

Step-by-step Solution

Detailed explanation

For a body-centred cubic (BCC) lattice, the relationship between the unit cell edge length \(a\) and the atomic radius \(r\) is given by the formula: \(\sqrt{3}a = 4r\) Given the unit cell edge length \(a = 4.29 \text{ Å}\), we substitute this value into the formula:…