Question

# Copper metal crystallizes in FCC lattice. Edge length of unit cell is 362 pm. The radius of largest atom that can fit into the voids of copper lattice without disturbing it is

A
53 pm
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B
45 pm
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C
93 pm
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D
87 pm
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Solution

## The correct option is A 53 pmThe edge length a is 362 pm.For fcc structure, the radius of Cu metal R=a2√2=0.3535a=0.3535×362pm=127.9pmFor an octahedral void, the radius ratio is in a range of 0.414 to 0.732.For largest atom to be fit into the octahedral void, r=0.732R=0.732×127.9pm=53pmThus, the radius of the largest atom that can fit into the voids of copper lattice without disturbing it is 93 pm.Option A is correct.

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