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AIPMT MAIN2008Chemistry-Solid State

AIPMT MAIN 2008 Chemistry Crystal Lattices and Unit Cells MCQ Question

Type: MCQ-conceptual-Medium

If the lattice parameter for a crystalline structure is 3.6 Å, then the atomic radius in fcc crystal is

A

1.27 Å

B

1.81 Å

C

2.10 Å

D

2.92 Å

Correct Answer

Option A

Detailed Explanation

In a face-centered cubic (fcc) crystal, the atomic radius R is related to the lattice parameter a by the formula R = a/√2. Substituting a = 3.6 Å gives R = 3.6/√2 = 1.27 Å.

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