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Ionic radii of cation A+ and anion B- are 102 and 181 pm respectively. These ions are allowed to crystallize into an ionic solid. The edge length of the unit cell of the crystal AB is ______ pm. -

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Question

Ionic radii of cation A+ and anion B- are 102 and 181 pm respectively. These ions are allowed to crystallize into an ionic solid. This crystal has cubic close packing for B-. A+ is present in all octahedral voids. The edge length of the unit cell of the crystal AB is ______ pm. (Nearest integer)

Options

  • 300

  • 566

  • 499

  • 200

MCQ
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Solution

Ionic radii of cation A+ and anion B- are 102 and 181 pm respectively. These ions are allowed to crystallize into an ionic solid. This crystal has cubic close packing for B-. A+ is present in all octahedral voids. The edge length of the unit cell of the crystal AB is 566 pm.

Explanation:

a = 2(r+ + r-)

a = 2(102 + 181)

a = 566 pm

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