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Problem

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Textbook ExpertVerified Tutor
30 Nov 2021

Given information

Consider the body-centered cubic structure shown here.

What is the length of the line (labeled ) that runs from one corner of the cube diagonally through the center of the cube to the other corner in terms of (the atomic radius)?

 

Step-by-step explanation

Step 1.

The diagonal that runs through the center of the cube to the other corner in a body centred cubic unit cell touches one atom completly as its body centred (one atom is placed at the centre of the unit cell),hence ( ) and two half atoms at the ends or corners of the cube ()

 

where r is the atomic radius.   

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