Calculate the edge length of bcc unit cell if radius of a particle present in it is 186 pm .

Step-by-step solution

For a body-centered cubic (BCC) unit cell, atoms contact along the body diagonal, establishing the geometric relationship 4r = 3 a , where r is the atomic radius and a is the edge length. This yields a = 4r 3 . Given r = 186 10⁻¹⁰ cm, substitution gives: a = 4 (186 10⁻¹⁰) 3 429.559 10⁻¹⁰ cm 4.296 10⁻⁸ cm. This value corresponds to option A .