An element X with an atomic mass of 81u has density 10.2gcm^{-3}. If the volume of unit cell is 2.7\times10^{-23}cm^3, identify the type of cubic unit cell. 

\left ( Given:N_A=6.022\times10^{23}mol^{-1} \right )

 

 

 

 
 
 
 
 

Answers (1)

P=\frac{Z\times M}{a^3\times N_A}

Z=\frac{P\times a^3\times N_A}{M}=\frac{10.2\times 2.7\times 10^{-23}\times 6.022\times 10^{23}}{81}

=2

Hence it is BCC type of unit cell.

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