Question

the ratio of total volume of bcc to simple cubic structure is​

Answer 1

Answer:

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Answer 2

Answer:

The correct answer of this question is $\frac{8}{3\sqrt{3} }$

Explanation:

Given - The ratio of total volume of bcc to simple cubic structure.

To Find - Write the ratio of total volume of bcc to simple cubic structure is​The volume of the atoms in the unit cell divided by the volume of the unit cell is the APF of a BCC structure. As a result, a BCC unit cell's packing factor is always 0.68. A face-centered cubic unit cell, on the other hand, has a packing factor of 0.74.

The simple cubic is $r = \frac{a}{c}$ or  $a = 2r$

The volume of simple cubic unit cell is $(2^{3} ) = 8r^{3}$

Volume of bcc unit cell / Volume of simple cubic = $\frac{64r^{3}/3\sqrt{3} }{8r^{3} }$

$\frac{64}{8 . 3\sqrt{3} }$ = $\frac{8}{3\sqrt{3} }$

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