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Choose the correct feature(s) of miller indices :
- a)All the parallel equidistant planes have the same miller indices.
- b)If the miller indices of two planes are [8 4 4] and [4 2 2], the planes are parallel to each other.
- c)A plane parallel to one of the co-ordinate axes has an intercept of infinity.
- d)None of the above
Correct answer is option 'A,B,C'. Can you explain this answer?
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Choose the correct feature(s) of miller indices :a)All the parallel eq...
→ Miller indices give us an idea of the direction of the plane i.e. it tells us about the direction of normal to the plane and thus, it remains same for planes which are parallel.
→ [8 4 4] and [4 2 2] are equivalent.
→ If a plane is parallel to one of the coordinate axes, its miller indices for that particular direction is zero which indicates infinite intercept.
The correct answers are: All the parallel equidistant planes have the same miller indices., If the miller indices of two planes are [8 4 4] and [4 2 2], the planes are parallel to each other., A plane parallel to one of the co-ordinate axes has an intercept of infinity.
→ [8 4 4] and [4 2 2] are equivalent.
→ If a plane is parallel to one of the coordinate axes, its miller indices for that particular direction is zero which indicates infinite intercept.
The correct answers are: All the parallel equidistant planes have the same miller indices., If the miller indices of two planes are [8 4 4] and [4 2 2], the planes are parallel to each other., A plane parallel to one of the co-ordinate axes has an intercept of infinity.
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Choose the correct feature(s) of miller indices :a)All the parallel eq...
Miller Indices in Crystallography
In crystallography, Miller indices are used to describe the orientation of crystal planes or directions within a crystal lattice. Miller indices are represented by three integers enclosed in square brackets, such as [hkl], where h, k, and l are the reciprocals of the plane intercepts with the crystallographic axes. The correct features of Miller indices are as follows:
Feature A: All the parallel equidistant planes have the same Miller indices.
When multiple planes are parallel to each other and have the same spacing or distance between them, their Miller indices will be the same. This feature is a fundamental property of Miller indices and is derived from the definition of Miller indices itself. The Miller indices of parallel planes are related to the ratios of intercepts made by these planes along the crystallographic axes. Since the intercept ratios are the same for parallel planes, their Miller indices will also be the same.
Feature B: If the Miller indices of two planes are [h1 k1 l1] and [h2 k2 l2], the planes are parallel to each other.
This feature is a consequence of the first feature. If two sets of planes have the same Miller indices, it means that they are parallel to each other. The Miller indices of a plane represent the reciprocals of the intercepts made by the plane along the crystallographic axes. If two sets of planes have the same intercept ratios along the axes, it implies that they are parallel to each other.
Feature C: A plane parallel to one of the coordinate axes has an intercept of infinity.
When a plane is parallel to one of the coordinate axes, it does not intersect or intercept the respective axis. In the context of Miller indices, an intercept of infinity is assigned to such a plane. This is represented by a zero value in the Miller index corresponding to the axis parallel to the plane. For example, if a plane is parallel to the x-axis, its Miller index in the x-axis direction will be 0, indicating an infinite intercept.
Conclusion:
Miller indices are a useful tool in crystallography for describing the orientation of crystal planes. They follow certain features, including the fact that all parallel equidistant planes have the same Miller indices, planes with the same Miller indices are parallel to each other, and planes parallel to a coordinate axis have an intercept of infinity. These features help in understanding the arrangement and symmetry of crystals.
In crystallography, Miller indices are used to describe the orientation of crystal planes or directions within a crystal lattice. Miller indices are represented by three integers enclosed in square brackets, such as [hkl], where h, k, and l are the reciprocals of the plane intercepts with the crystallographic axes. The correct features of Miller indices are as follows:
Feature A: All the parallel equidistant planes have the same Miller indices.
When multiple planes are parallel to each other and have the same spacing or distance between them, their Miller indices will be the same. This feature is a fundamental property of Miller indices and is derived from the definition of Miller indices itself. The Miller indices of parallel planes are related to the ratios of intercepts made by these planes along the crystallographic axes. Since the intercept ratios are the same for parallel planes, their Miller indices will also be the same.
Feature B: If the Miller indices of two planes are [h1 k1 l1] and [h2 k2 l2], the planes are parallel to each other.
This feature is a consequence of the first feature. If two sets of planes have the same Miller indices, it means that they are parallel to each other. The Miller indices of a plane represent the reciprocals of the intercepts made by the plane along the crystallographic axes. If two sets of planes have the same intercept ratios along the axes, it implies that they are parallel to each other.
Feature C: A plane parallel to one of the coordinate axes has an intercept of infinity.
When a plane is parallel to one of the coordinate axes, it does not intersect or intercept the respective axis. In the context of Miller indices, an intercept of infinity is assigned to such a plane. This is represented by a zero value in the Miller index corresponding to the axis parallel to the plane. For example, if a plane is parallel to the x-axis, its Miller index in the x-axis direction will be 0, indicating an infinite intercept.
Conclusion:
Miller indices are a useful tool in crystallography for describing the orientation of crystal planes. They follow certain features, including the fact that all parallel equidistant planes have the same Miller indices, planes with the same Miller indices are parallel to each other, and planes parallel to a coordinate axis have an intercept of infinity. These features help in understanding the arrangement and symmetry of crystals.
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Choose the correct feature(s) of miller indices :a)All the parallel eq...
→ Miller indices give us an idea of the direction of the plane i.e. it tells us about the direction of normal to the plane and thus, it remains same for planes which are parallel.
→ [8 4 4] and [4 2 2] are equivalent.
→ If a plane is parallel to one of the coordinate axes, its miller indices for that particular direction is zero which indicates infinite intercept.
The correct answers are: All the parallel equidistant planes have the same miller indices., If the miller indices of two planes are [8 4 4] and [4 2 2], the planes are parallel to each other., A plane parallel to one of the co-ordinate axes has an intercept of infinity.
→ [8 4 4] and [4 2 2] are equivalent.
→ If a plane is parallel to one of the coordinate axes, its miller indices for that particular direction is zero which indicates infinite intercept.
The correct answers are: All the parallel equidistant planes have the same miller indices., If the miller indices of two planes are [8 4 4] and [4 2 2], the planes are parallel to each other., A plane parallel to one of the co-ordinate axes has an intercept of infinity.
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Choose the correct feature(s) of miller indices :a)All the parallel equidistant planes have the same miller indices.b)If the miller indices of two planes are [8 4 4] and [4 2 2], the planes are parallel to each other.c)A plane parallel to one of the co-ordinate axes has an intercept of infinity.d)None of the aboveCorrect answer is option 'A,B,C'. Can you explain this answer?
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Choose the correct feature(s) of miller indices :a)All the parallel equidistant planes have the same miller indices.b)If the miller indices of two planes are [8 4 4] and [4 2 2], the planes are parallel to each other.c)A plane parallel to one of the co-ordinate axes has an intercept of infinity.d)None of the aboveCorrect answer is option 'A,B,C'. Can you explain this answer? for Physics 2024 is part of Physics preparation. The Question and answers have been prepared according to the Physics exam syllabus. Information about Choose the correct feature(s) of miller indices :a)All the parallel equidistant planes have the same miller indices.b)If the miller indices of two planes are [8 4 4] and [4 2 2], the planes are parallel to each other.c)A plane parallel to one of the co-ordinate axes has an intercept of infinity.d)None of the aboveCorrect answer is option 'A,B,C'. Can you explain this answer? covers all topics & solutions for Physics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Choose the correct feature(s) of miller indices :a)All the parallel equidistant planes have the same miller indices.b)If the miller indices of two planes are [8 4 4] and [4 2 2], the planes are parallel to each other.c)A plane parallel to one of the co-ordinate axes has an intercept of infinity.d)None of the aboveCorrect answer is option 'A,B,C'. Can you explain this answer?.
Choose the correct feature(s) of miller indices :a)All the parallel equidistant planes have the same miller indices.b)If the miller indices of two planes are [8 4 4] and [4 2 2], the planes are parallel to each other.c)A plane parallel to one of the co-ordinate axes has an intercept of infinity.d)None of the aboveCorrect answer is option 'A,B,C'. Can you explain this answer? for Physics 2024 is part of Physics preparation. The Question and answers have been prepared according to the Physics exam syllabus. Information about Choose the correct feature(s) of miller indices :a)All the parallel equidistant planes have the same miller indices.b)If the miller indices of two planes are [8 4 4] and [4 2 2], the planes are parallel to each other.c)A plane parallel to one of the co-ordinate axes has an intercept of infinity.d)None of the aboveCorrect answer is option 'A,B,C'. Can you explain this answer? covers all topics & solutions for Physics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Choose the correct feature(s) of miller indices :a)All the parallel equidistant planes have the same miller indices.b)If the miller indices of two planes are [8 4 4] and [4 2 2], the planes are parallel to each other.c)A plane parallel to one of the co-ordinate axes has an intercept of infinity.d)None of the aboveCorrect answer is option 'A,B,C'. Can you explain this answer?.
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