The radius of an atom of an element is 55 pm. What is the edge length of the unit cell if it is body-centred cubic?

The radius of an atom of an element is 55 pm. What is the edge length of the unit cell if it is body-centred cubic (BCC)?

Expert Solution

Answer : 127 pm

Explanation :

Given :

radius of element, r = 55 pm

Edge length, a =?

Calculation :

For BCC,the formula to calculate the egde length is given by, which is relation between edge length of unit cell and radius of element.

r = (√3/4) × a

Or

a = (4/√3) × r

= 4 × 55/1.732

= 127 pm.

Thus, the egde length of unit cell is 127 pm

127 pm.

Rakesh answered 2 years ago

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