Solid State Question 88
Question: A metal crystallizes into two cubic phases, face centred cubic (fee) and body centred cubic (bcc) whose unit cell lengths are 3.5 and $ 3.0\overset{o}{\mathop{A}} $ respectively. Calculate the ratio of the densities of fee and bee.
Options:
A) 1.67
B) 1.26
C) 6.23
D) 1.04
Show Answer
Answer:
Correct Answer: B
Solution:
[b] FCC has 4 atoms in a unit cell BCC has 2 atoms in a unit cell $ d=\frac{z\times M}{N_0\times a^{3}} $ $ \frac{d _{FCC}}{d _{BCC}}=\frac{4}{2}\frac{{{(3.0)}^{3}}}{{{(3.5)}^{3}}}=1.26 $