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A unit cell of a crystal has a body-centered cubic (BCC) lattice with an edge length of3 \AA .What is the volume of the unit cell in \AA^3?

 

Option: 1

9


Option: 2

27


Option: 3

81


Option: 4

108


Answers (1)

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The volume of a BCC unit cell is given bya^3 \times\ 2^(1/2) , where a is the edge length of the cube. Substituting the given values, we get the volume of the unit cell as 3^3 \times\2^(1/2) = 27 \times\1.414 = 38.178 \AA^3 .

 

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Pankaj

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