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Question
A compound AB has a simple cubic structure and has molecular mass 99. its density is 3.4 g cm-3. What will be the edge length of the unit cell?
Solution
M = 99
Z = 2 (sc)
ρ = 3.4 g/cm3
a = ?
N0 = `6.022 xx 10^23`
`ρ = (ZM)/(N_0a^3)`
`a^3 = (ZM)/(N_0ρ)`
= `(2 xx 99)/(6.022 xx 10^23 xx 3.4)`
= `(198 xx 10^-24)/(6.022 xx 0.34)`
`= (198 xx 10^-24)/2.047`
`a^3 = 96.727 xx 10^-24` cm3
`a = (96.727)^(1/3) xx 10^-8`cm
a = 4.59 Å
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