Copper has fcc crystal structural. Assuming an atomic radius of $130$ pm for copper atom. What is the edge length of the unit cell? $(C u = 63.54)$

3680

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368

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3.68

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268

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Solution

The correct option is B $368$ pm
For $f . c . c$ structure.
$4 r = \sqrt{2} a$
$∴ a = 2 \sqrt{2} r$
Here $r = 130 p m$
$∴ a = 2 \sqrt{2} \times 130 p m = 367.69 p m$ .

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Copper has the fcc crystal structure. Assuming an atomic radius of 130 pm for copper atom (Cu = 63.54):

(1) What is the length of the unit cell of Cu?

(2) What is the volume of the unit cell?

(3) How many atoms belong to the unit cell?

(4) Find the density of Cu?

361

360 p m

C u

p m

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