Chapter 3.17, Problem 52QP

(a)

To determine

The $\left(100\right)$, $\left(0\overline{1}0\right)$, and $\left(001\right)$ planes are equivalent to reduced-sphere unit cell shown in Problem 3.23, having an origin of the coordinate system positioned at the atom labelled O.

(b)

To determine

The $\left(110\right)$, $\left(101\right)$, $\left(011\right)$, and $\left(\overline{1}01\right)$ planes are corresponding to reduced-sphere unit cell shown in Problem 3.23, having an origin of the coordinate system positioned at the atom labelled O.

(c)

To determine

The $\left(111\right)$, $\left(1\overline{1}1\right)$, $\left(11\overline{1}\right)$, and $\left(\overline{1}1\overline{1}\right)$ planes are corresponding to reduced-sphere unit cell shown in Problem 3.23, having an origin of the coordinate system positioned at the atom labelled O.