Question

7. Give the Miller indices for a crystal face that is parallel to the a and b axes of a crystal and intersects the c axis at a length of negative one.

Answer 1

The Miller Indices of the crystal are: [0, 0, - 1]

Solution:

As per the question:

For a plane parallel to a and b axes and intersect c axis at - 1, the intercepts made on the axes are respectively:

Intercept on a-axis =
`\infty`

Intercept on b-axis =
`\infty`

Intercept on c-axis = - 1

Now,

Weiss parameters are
`{\infty, \infty, - 1}`

Now,

The Miller indices are given as the reciprocal of Weiss parameter as:

a =
`(1)/(\infty)` = 0

b =
`(1)/(\infty)` = 0

c = - 1

Thus

The Miller Indices are: [0, 0, - 1]