If the atomic radius of copper is 0.128 nm, calculate the volume of its unit cell

Volume of face centered cubic cell=

Explanation:

Consider the face centered cubic cell:

1 atom at each corner of cube.

1 atom at center of each face.

Consider the one face (ABCD) as shown in attachment for calculation:

Length of the all sides of face centered cubic cell is L.

Volume of face centered cubic cell= L^3

Now Consider the figure shown in attachment:

According to Pythagoras theorem on ΔADC.

    (a is the atomic radius)

(Put in the formula of Volume)

Volume of face centered cubic cell= L^3

Volume of face centered cubic cell=

Volume of face centered cubic cell=

Volume of face centered cubic cell=

Explanation: .

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