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Miller indices of a plane will be whose intercepts are a, b/2 and 3c on x, y and z axes respectively in a simple cubic unit cell?
- a)123
- b)321
- c)361
- d)631
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
Miller indices of a plane will be whose intercepts are a, b/2 and 3c o...
Miller indices of a plane in a simple cubic unit cell can be determined using the following steps:
1. Find the intercepts of the plane on the x, y, and z axes.
In this case, the intercepts are a, b/2, and 3c.
2. Take the reciprocals of the intercepts.
The reciprocals are 1/a, 2/b, and 1/3c.
3. Multiply the reciprocals by a common factor to make them integers.
In this case, we can multiply by 6 to get 6/a, 12/b, and 2/c.
4. Enclose the integers in parentheses and write them as the Miller indices of the plane.
The Miller indices are (6,12,2), which matches option C.
Therefore, the correct answer is option C (361).
1. Find the intercepts of the plane on the x, y, and z axes.
In this case, the intercepts are a, b/2, and 3c.
2. Take the reciprocals of the intercepts.
The reciprocals are 1/a, 2/b, and 1/3c.
3. Multiply the reciprocals by a common factor to make them integers.
In this case, we can multiply by 6 to get 6/a, 12/b, and 2/c.
4. Enclose the integers in parentheses and write them as the Miller indices of the plane.
The Miller indices are (6,12,2), which matches option C.
Therefore, the correct answer is option C (361).
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