Question:

Which of the following statements is/are NOT correct?

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Understanding crystallographic planes and zones is key to analyzing the geometry and symmetry of crystals.
Updated On: Dec 15, 2025
  • (110) lies in zone [001]
  • (021) lies in zone [100]
  • (101) lies in zone [010]
  • (111) lies in zone [111]
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The Correct Option is D

Solution and Explanation

Step 1: Understanding the question.
The question asks to identify which crystallographic statements are incorrect, based on Miller indices and crystallographic zones.
Step 2: Analyzing the options.
(A) (110) lies in zone [001]: Correct — (110) does not lie in zone [001], and this is indeed a non-matching crystallographic relationship.
(B) (021) lies in zone [100]: Correct — (021) is a plane that lies in the [100] zone.
(C) (101) lies in zone [010]: Correct — (101) lies in the [010] zone as per crystallographic conventions.
(D) (111) lies in zone [111]: Incorrect — (111) does not lie in the [111] zone. The zone is different, as crystallographic indices are specific and must align with proper plane orientations.
Step 3: Conclusion.
The correct answer is (D) (111) lies in zone [111], as this statement is not correct.
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