
(a)
Interpretation:
The number of atoms of each type per unit cell of thorium-dioxide is to be determined.
Concept Introduction:
The most basic repeating structure of any solid is said to be the unit cell consuming least volume. The repeating pattern of unit cells results in a network said to be a lattice.
An atom's coordination number in a unit cell is equal to the number of atoms it touches in the cell.
(b)
Interpretation:
Does the unit cell formula is equivalent to the chemical formula of thorium dioxide.
Concept Introduction:
An atom's coordination number in a unit cell is equal to the number of atoms it touches in the cell.
The chemical formula of thorium dioxide is ThO2.
(c)
Interpretation:
The coordination number of thorium atom is to be determined.
Concept Introduction:
An atom's coordination number in a unit cell is equal to the number of atoms it touches in the cell.
(d)
Interpretation:
The coordination number of an oxygen atom is to be determined.
Concept Introduction:
An atom's coordination number in a unit cell is equal to the number of atoms it touches in the cell.
(e)
Interpretation:
The type of interstitial site occupied by the oxygen atoms should be determined.
Concept Introduction:
There is a vacant space between the constitutional particles in a lattice formed by the repetition of unit cells which is termed as void. The two most common types of voids in 3D structure are octahedral void and tetrahedral void.

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Chapter 3 Solutions
Essentials of Materials Science and Engineering, SI Edition
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