Question

Determine the miller indices for the planes in the following cubic unit cell

Answer 1

The miller indices for the planes in a simple cubic unit cell can be determined by identifying intercepts made on the three axes, taking the reciprocals of these intercepts, and clearing any fractions.

Step-by-step explanation:

The miller indices for the planes in a simple cubic unit cell can be determined by following these steps:

1. Identify the plane that intersects the x-axis, y-axis, and z-axis.
2. Take the reciprocals of the intercepts made by the plane on the three axes.
3. Clear any fractions by multiplying all values by a common factor.
4. The resulting numbers are the miller indices for the plane.For example, if a plane intersects the x-axis at (2,0,0), the y-axis at (0,3,0), and the z-axis at (0,0,4), the miller indices would be (1/2, 1/3, 1/4). The common factor of 12 can be multiplied to clear the fractions, resulting in the miller indices (6,4,3).