4 Dec 2021
Problem 95
Page 476
Section: Challenge Problems
Chapter 11: Liquids, Solids, and Intermolecular Forces
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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