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Question

in the fcc lattice of particle A, B particles occupy all tetrahedral void and C occupy all octahedral void. Find the correct relation for closest distance between particle B and C. Given radius of particle A is 200 A.

A
rB+rC = 2 pm
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B
rB+rC=6 pm
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C
rB+rC=0.639 pm
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D
rB+rC=0.25 pm
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Solution

The correct option is B rB+rC=6 pm
A In FCC
B Tetrahedra void
A oetahedra voil
the rB=0.414 rA
rC=0.225 rA
rB+rC=(0.639) rA

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