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Atomic radius and shortest distance in cubic system

A given metal crystallizes out with a cubic structure having e

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A given metal crystallizes out with a cubic structure having edge length of $361 pm$ . If there are four metal atoms in one unit cell, what is the radius of one atom?

108 pm

40 pm

127 pm

80 pm

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Updated on: Jun 5, 2023

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A given metal crystallizes out with a cubic structure having edge length of

361 pm

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Text solutionVerified

There are four metal atoms in one unit cell, the unit cell is fcc type.
For fcc unit cell, radius r=0.3535 a, where a is the edge length of the unit cell.
Hence, r=0.3535×361 pm =127.6 pm
Thus, the radius of one atom is 127.6 pm

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Question Text	A given metal crystallizes out with a cubic structure having edge length of $361 pm$ . If there are four metal atoms in one unit cell, what is the radius of one atom?
Updated On	Jun 5, 2023
Topic	The Solid State
Subject	Chemistry
Class	Class 12
Answer Type	Text solution:1 Video solution: 16
Upvotes	1621
Avg. Video Duration	7 min

A given metal crystallizes out with a cubic structure having edge length of $361 pm$ . If there are four metal atoms in one unit cell, what is the radius of one atom?

Text solutionVerified

Filo tutor solutions (16)

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A given metal crystallizes out with a cubic structure having edge length of 361pm. If there are four metal atoms in one unit cell, what is the radius of one atom?

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A given metal crystallizes out with a cubic structure having edge length of $361 pm$ . If there are four metal atoms in one unit cell, what is the radius of one atom?