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For a simple cubic crystal the diffraction line from the plane with (h² k² l²) =11 is observed at an angle of 60 degrees. The crystal structure is 1. Simple cubic 2. Body centred cubic 3. Face centred cubic 4. Diamond cubic lattice?
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For a simple cubic crystal the diffraction line from the plane with (h...
Crystal Structure Identification
To identify the crystal structure based on the observed diffraction line, we need to consider the values of the Miller indices (hkl) and the angle of diffraction. Let's analyze the given information step by step.
Miller Indices (hkl) = 11
The Miller indices represent the orientation of a plane within a crystal lattice. In the given case, the plane has Miller indices (hkl) = 11.
Angle of Diffraction = 60 degrees
The angle of diffraction is the angle at which the diffracted beam is observed. In this case, the diffraction line from the plane with (hkl) = 11 is observed at an angle of 60 degrees.
Analysis and Explanation
To determine the crystal structure, we need to consider the relationship between the Miller indices and the crystal lattice type for different structures.
Simple Cubic (SC) Crystal Structure
In a simple cubic lattice, the Miller indices (hkl) for a plane are related to the angles of diffraction by the equation:
sin²θ = (h² + k² + l²) / (h² + k² + l²)
For the given plane with (hkl) = 11, the equation becomes:
sin²60° = (1² + 1² + 1²) / (1² + 1² + 1²)
0.75 ≠ 3
Since the equation is not satisfied, the simple cubic structure can be ruled out.
Body-Centered Cubic (BCC) Crystal Structure
In a body-centered cubic lattice, the Miller indices (hkl) for a plane are related to the angles of diffraction by the equation:
sin²θ = (h² + k² + l²) / (h² + k² + l²)
For the given plane with (hkl) = 11, the equation becomes:
sin²60° = (1² + 1² + 1²) / (1² + 1² + 1²)
0.75 = 3/4
Since the equation is satisfied, the body-centered cubic structure is a possibility.
Face-Centered Cubic (FCC) Crystal Structure
In a face-centered cubic lattice, the Miller indices (hkl) for a plane are related to the angles of diffraction by the equation:
sin²θ = (h² + k² + l²) / (h² + k² + l²)
For the given plane with (hkl) = 11, the equation becomes:
sin²60° = (1² + 1² + 1²) / (1² + 1² + 1²)
0.75 = 3/4
Since the equation is satisfied, the face-centered cubic structure is also a possibility.
Diamond Cubic Lattice
The diamond cubic lattice is a variation of the face-centered cubic lattice. However, it does not satisfy the equation for the given plane with (hkl) = 11 and an angle of 60 degrees.
Conclusion
Based on the analysis, the crystal structure can be either body-centered cubic (BCC) or face-centered cubic (FCC). Both structures satisfy the given
To identify the crystal structure based on the observed diffraction line, we need to consider the values of the Miller indices (hkl) and the angle of diffraction. Let's analyze the given information step by step.
Miller Indices (hkl) = 11
The Miller indices represent the orientation of a plane within a crystal lattice. In the given case, the plane has Miller indices (hkl) = 11.
Angle of Diffraction = 60 degrees
The angle of diffraction is the angle at which the diffracted beam is observed. In this case, the diffraction line from the plane with (hkl) = 11 is observed at an angle of 60 degrees.
Analysis and Explanation
To determine the crystal structure, we need to consider the relationship between the Miller indices and the crystal lattice type for different structures.
Simple Cubic (SC) Crystal Structure
In a simple cubic lattice, the Miller indices (hkl) for a plane are related to the angles of diffraction by the equation:
sin²θ = (h² + k² + l²) / (h² + k² + l²)
For the given plane with (hkl) = 11, the equation becomes:
sin²60° = (1² + 1² + 1²) / (1² + 1² + 1²)
0.75 ≠ 3
Since the equation is not satisfied, the simple cubic structure can be ruled out.
Body-Centered Cubic (BCC) Crystal Structure
In a body-centered cubic lattice, the Miller indices (hkl) for a plane are related to the angles of diffraction by the equation:
sin²θ = (h² + k² + l²) / (h² + k² + l²)
For the given plane with (hkl) = 11, the equation becomes:
sin²60° = (1² + 1² + 1²) / (1² + 1² + 1²)
0.75 = 3/4
Since the equation is satisfied, the body-centered cubic structure is a possibility.
Face-Centered Cubic (FCC) Crystal Structure
In a face-centered cubic lattice, the Miller indices (hkl) for a plane are related to the angles of diffraction by the equation:
sin²θ = (h² + k² + l²) / (h² + k² + l²)
For the given plane with (hkl) = 11, the equation becomes:
sin²60° = (1² + 1² + 1²) / (1² + 1² + 1²)
0.75 = 3/4
Since the equation is satisfied, the face-centered cubic structure is also a possibility.
Diamond Cubic Lattice
The diamond cubic lattice is a variation of the face-centered cubic lattice. However, it does not satisfy the equation for the given plane with (hkl) = 11 and an angle of 60 degrees.
Conclusion
Based on the analysis, the crystal structure can be either body-centered cubic (BCC) or face-centered cubic (FCC). Both structures satisfy the given
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For a simple cubic crystal the diffraction line from the plane with (h² k² l²) =11 is observed at an angle of 60 degrees. The crystal structure is 1. Simple cubic 2. Body centred cubic 3. Face centred cubic 4. Diamond cubic lattice?
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For a simple cubic crystal the diffraction line from the plane with (h² k² l²) =11 is observed at an angle of 60 degrees. The crystal structure is 1. Simple cubic 2. Body centred cubic 3. Face centred cubic 4. Diamond cubic lattice? for Physics 2024 is part of Physics preparation. The Question and answers have been prepared according to the Physics exam syllabus. Information about For a simple cubic crystal the diffraction line from the plane with (h² k² l²) =11 is observed at an angle of 60 degrees. The crystal structure is 1. Simple cubic 2. Body centred cubic 3. Face centred cubic 4. Diamond cubic lattice? covers all topics & solutions for Physics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for For a simple cubic crystal the diffraction line from the plane with (h² k² l²) =11 is observed at an angle of 60 degrees. The crystal structure is 1. Simple cubic 2. Body centred cubic 3. Face centred cubic 4. Diamond cubic lattice?.
For a simple cubic crystal the diffraction line from the plane with (h² k² l²) =11 is observed at an angle of 60 degrees. The crystal structure is 1. Simple cubic 2. Body centred cubic 3. Face centred cubic 4. Diamond cubic lattice? for Physics 2024 is part of Physics preparation. The Question and answers have been prepared according to the Physics exam syllabus. Information about For a simple cubic crystal the diffraction line from the plane with (h² k² l²) =11 is observed at an angle of 60 degrees. The crystal structure is 1. Simple cubic 2. Body centred cubic 3. Face centred cubic 4. Diamond cubic lattice? covers all topics & solutions for Physics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for For a simple cubic crystal the diffraction line from the plane with (h² k² l²) =11 is observed at an angle of 60 degrees. The crystal structure is 1. Simple cubic 2. Body centred cubic 3. Face centred cubic 4. Diamond cubic lattice?.
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