Question

Within a cubic unit cell, sketch the following directions: (a) [101] (b) [211] (c) [102] (d) [313] (e) [īlī] (f) [212] (g) [312] (h) [301]

Answer 1

The question asks to sketch the directions within a cubic unit cell represented by Miller indices enclosed in square brackets. The directions are given for each specified Miller index.

Step-by-step explanation:

The directions within a cubic unit cell can be represented by Miller indices enclosed in square brackets. The Miller indices represent the direction of the vector within the unit cell.

1. [101]: This direction passes through the midpoints of opposite edges of the cube.
2. [211]: This direction passes through the corner of the cube and bisects the edge along one face.
3. [102]: This direction passes through the corner of the cube and bisects the edge along one edge.
4. [313]: This direction passes through the corner of the cube and bisects the edge diagonally.
5. [001]: This direction passes through the center of opposite faces of the cube.
6. [212]: This direction passes through the corner of the cube and bisects the edge along one face.
7. [312]: This direction passes through the corner of the cube and bisects the edge diagonally.
8. [301]: This direction passes through the corner of the cube and bisects the edge along one face.