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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
MCQ
Fill in the Blanks
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Solution
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.
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