Following three planes `(P_(1), P_(2), P_(3))` in an fcc unit cell are shown in the figure below. Consider the following statements and choose the correct option/options that follow:

Options

A. `P_(1)` contains no three-dimensional voids.
B. `P_(2)` contains only octahedral voids.
C. `P_(3)` contains both octahedral and tetrahedral voids
D. All of these

Answer

A, B, C, D

Explanation

a. `P_1` represents one of the close-packed layer having triangular voids only.
b. `P_2` contains of `Ovs` (edge centres of unit cell)
c. `P_3` contains `3 Ovs` locations (one at body centre and two at edfe centre). Also, plane `P_3` contains the body diagonals, hence it contains `TVs` location (`TVs`lie at body diagonal).