Question

12.Intercepts of a plane in crystal is 1 point
given by 1a, 2b, 3c
in a simple cubic unit
cell, Miller indices are,​

Answer 1

Answer:

Rules for Miller Indices:

1. Determine the intercepts of the face along the crystallographic axes, in terms of unit cell dimensions.

2. Take the reciprocals of the coefficients of the intercept

3. Clear fractions

4. Reduce to the lowest integer

Taking reciprocal of the coefficient-

We get-

2

1

,

2

1

,

3

1

Reduce to lowest integer-

Multiply with 6 ⇒

2

1

×6,

2

1

×6,

3

1

×6⇒3,3,2

Hence, the miller indices for the given plane is 332. The correct option is B.

Answer 2

Answer:

For the specified plane, the miller indices are 332.

Explanation:

As per the questions,

Given:

Intercepts of a plane in crystal is 1 point,

given by 1a, 2b, 3c in a simple cubic unit cell.

Miller Indices Regulations:

In terms of unit cell dimensions, determine the intercepts (a, b, and c) of the planes along the crystallographic axes.

1). Calculate, in terms of unit cell dimensions, the intercepts of the face along the crystallographic axes.

2). Calculate the coefficients of the intercept's reciprocals.

3). Identical fractions.

4). Scale back to the smallest integer

Now, lets Take reciprocal of the coefficient

so, we get

$\frac{2}{1} , \frac{2}{1}$$,\frac{3}{1}$

Reduce to lowest integer-

Multiply with 6

$\frac{2}{1} \times6 = 3 , \frac{2}{1} \times6 = 3 , \frac{3}{1} \times6 = 2$

We got 3,3,2

Hence, For the specified plane, the miller indices are 332.

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