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A crystal face has the following intercepts for the crystallographic axes 1a1, 1a2, ½a3, infinity c. The Miller Bravais indices for the face is?
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A crystal face has the following intercepts for the crystallographic a...
Understanding Miller-Bravais Indices
Miller-Bravais indices are used to describe crystal faces in four-dimensional space. For hexagonal crystals, we utilize the indices (h, k, i, l), where i = -(h + k).
Given Intercepts
The intercepts of the crystal face are:
- 1a1
- 1a2
- ½a3
- ∞c
Interpreting the Intercepts
- 1a1 and 1a2: These indicate that the face intersects the a1 and a2 axes at 1 unit each.
- ½a3: This indicates that the face intersects the a3 axis at ½.
- ∞c: This signifies that the face is parallel to the c-axis, meaning it does not intercept the c-axis.
Calculating the Indices
1. Reciprocal of Intercepts:
- For a1: 1 → 1
- For a2: 1 → 1
- For a3: ½ → 2
- For c: ∞ → 0
2. Indices Before Adjusting for i:
- The preliminary indices are (1, 1, 2, 0).
3. Calculating i:
- i = -(h + k) = -(1 + 1) = -2.
Final Miller-Bravais Indices
After considering all components, the Miller-Bravais indices for the crystal face are:
(1, 1, -2, 2)
This set of indices succinctly describes the orientation of the crystal face in the hexagonal lattice system.
Miller-Bravais indices are used to describe crystal faces in four-dimensional space. For hexagonal crystals, we utilize the indices (h, k, i, l), where i = -(h + k).
Given Intercepts
The intercepts of the crystal face are:
- 1a1
- 1a2
- ½a3
- ∞c
Interpreting the Intercepts
- 1a1 and 1a2: These indicate that the face intersects the a1 and a2 axes at 1 unit each.
- ½a3: This indicates that the face intersects the a3 axis at ½.
- ∞c: This signifies that the face is parallel to the c-axis, meaning it does not intercept the c-axis.
Calculating the Indices
1. Reciprocal of Intercepts:
- For a1: 1 → 1
- For a2: 1 → 1
- For a3: ½ → 2
- For c: ∞ → 0
2. Indices Before Adjusting for i:
- The preliminary indices are (1, 1, 2, 0).
3. Calculating i:
- i = -(h + k) = -(1 + 1) = -2.
Final Miller-Bravais Indices
After considering all components, the Miller-Bravais indices for the crystal face are:
(1, 1, -2, 2)
This set of indices succinctly describes the orientation of the crystal face in the hexagonal lattice system.
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A crystal face has the following intercepts for the crystallographic axes 1a1, 1a2, ½a3, infinity c. The Miller Bravais indices for the face is?
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A crystal face has the following intercepts for the crystallographic axes 1a1, 1a2, ½a3, infinity c. The Miller Bravais indices for the face is? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about A crystal face has the following intercepts for the crystallographic axes 1a1, 1a2, ½a3, infinity c. The Miller Bravais indices for the face is? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A crystal face has the following intercepts for the crystallographic axes 1a1, 1a2, ½a3, infinity c. The Miller Bravais indices for the face is?.
A crystal face has the following intercepts for the crystallographic axes 1a1, 1a2, ½a3, infinity c. The Miller Bravais indices for the face is? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about A crystal face has the following intercepts for the crystallographic axes 1a1, 1a2, ½a3, infinity c. The Miller Bravais indices for the face is? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A crystal face has the following intercepts for the crystallographic axes 1a1, 1a2, ½a3, infinity c. The Miller Bravais indices for the face is?.
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