Question

AB crystallises in a body-centred cubic lattice with edge length ‘a’ equal to 387 pm. The distance between two oppositively charged ions in the lattice is ______.

Options

• 335 pm

• 250 pm

• 200 pm

• 300 pm

Answer 1

AB crystallises in a body-centred cubic lattice with edge length ‘a’ equal to 387 pm. The distance between two oppositively charged ions in the lattice is 335 pm.

Explanation:

Edge length a = 387 pm

Body diagonal = `sqrt 3 * a`

Distance between ions = `(sqrt 3 * a)/2`

Distance = `(1.732 xx 387)/2`

= `670.284/2`

= 335.1 pm

∴ The distance between two oppositively charged ions in the lattice is 335.1 pm.