Question

Distance between Na and Cl in NaCl is 281 pm. What is edge length of unit cell?​

Answer 1

Answer:

n case of NaCl , two Cl⁻ ions present at corner of NaCl lattice and one Na⁺ ion present at edge of NaCl lattice. So, the edge length is the sum of two radius of Cl⁻ ion and two radius of Na⁺ ion as you can see in attachment.

∴ 2 × radius of Cl⁻ ion + 2 × radius of Na⁺ ion = edge length

Given, distance between Na⁺ and Cl⁻ = x pm

means , (radius of Na⁺ + radius of Cl⁻) = x pm

∴ 2(radius of Na⁺ + radius of Cl⁻) = edge length

⇒2x pm = edge length

Answer 2

The unit cell length of sodium chloride crystal is 564 pm.

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