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Textbook Expert
Textbook ExpertVerified Tutor
4 Dec 2021

Given information

The radius of the sphere is  .

The length of the face diagonal is  .

 

Step-by-step explanation

Step 1.

The edge length of the given unit cell is calculated by the formula,

 

 

Where,

  •   is the face diagonal of the unit cell.

  •   is the edge length of the unit cell.

 

Putting  the value of   in the formula

 

The body diagonal of the given unit cell is calculated by the formula,

 

Where,

  •   is the body diagonal of the unit cell.

The value of body diagonal  is - 

 

The radius of the tetrahedral hole is calculated by the formula,

 

Where,

  • is the radius of the tetrahedral hole.

 

Substitute the value of   in the above equation.

 

 

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