Copper crystallises in BCC arrangement and radius of copper atom is $\frac{3}{2} \overset{˚}{A}$ . Select the correct statement(s) :
(Atomic mass of Copper is 64)

Question

Copper crystallises in BCC arrangement and radius of copper atom is 2 3 ​ ​ A ˚ . Select the correct statement(s) : (Atomic mass of Copper is 64)

TestHub · Accepted Answer

For BCC, atoms touch along the body diagonal: $3 a = 4 r$ . Given $r = \frac{2 3}{3}$ Å, so $a = 2$ Å. Thus, (A) is correct.

Density = $\frac{ZM}{a ^{3} N _{A}} = \frac{2 \times 64}{( 2 ) ^{3} \times 6 \times 1 0 ^{23}} \times 1 0^{24} = 26.67 g m L^{- 1}$ . Thus, (B) is correct.

BCC has 2 atoms/unit cell and a coordination number of 8. Thus, (C) is correct.

The packing fraction of BCC = $\frac{π 3}{8}$ . Thus, (D) is correct.

Hence, A, B, C, and D are all correct.

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