Question

The following statements describe the procedure for determining the Miller indices of a crystallographic plane, but they are not in the correct order. Arrange them in the proper sequence.
I. The final set of integers is written within parentheses as (h k l) representing the plane indices.
II. The intercepts made by the plane on the x, y, and z axes are determined and denoted as a, b, and c.
III. If the plane passes through the origin, an equivalent parallel plane is drawn or the origin is shifted to another lattice point.
IV. The reciprocals of the intercepts are taken; an infinite intercept results in a zero index.
V. The reciprocals are multiplied by the corresponding lattice parameters a, b, and c to normalize them.
VI. The normalized values are converted into the smallest possible integers by multiplying or dividing by a common factor

• A. III, II, IV, V, VI, I
• B. III, IV, V, VI, II, I
• C. II, III, IV, V, I, VI
• D. IV, V, VI, III, II, I

Hint:

Always shift origin first if the plane passes through it.

Answer 1

The Correct Option is A

Concept: Miller indices are determined by converting intercepts of a plane into smallest integer ratios using reciprocals and normalization.

Step 1: Correct logical sequence.
Correct procedure:
• First handle origin issue → III
• Find intercepts → II
• Take reciprocals → IV
• Normalize with lattice parameters → V
• Convert to integers → VI
• Write final indices → I Thus sequence is: \[ \boxed{III \rightarrow II \rightarrow IV \rightarrow V \rightarrow VI \rightarrow I} \] Final Answer: \[ \boxed{III, II, IV, V, VI, I} \]