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Following three planes (P(1), P(2), P(3)...

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:

(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

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

Text Solution

Verified by Experts

The correct Answer is:
A, B, C, D
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).
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