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Question
Sodium metal crystallizes in bcc structure with the edge length of the unit cell 4.3 × 10−8 cm. calculate the radius of a sodium atom.
Solution
Edge length of the unit cell (a) = 4.3 × 10−8 cm
Radius of sodium atom (r) = ?
For bcc structure, r = `sqrt3/4 "a"`
= `sqrt3/4 (4.3 xx 10^-8 "cm")`
= `(1.732 xx 4.3 xx 10^-8)/4`
= `1.732/4 xx 10^-8 "cm"`
= 1.86 × 10−8 cm
= 1.86 Å
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