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A metallic lattice exhibits peaks corresponding to Miller indices (110), (111), (210), and (211) in its powder XRD pattern. The metal is crystallized in the Bravis lattice
- a)body centered cubic
- b)face centered cubic
- c)side centered cubic
- d)primitive cubic
Correct answer is option 'D'. Can you explain this answer?
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Most Upvoted Answer
A metallic lattice exhibits peaks corresponding to Miller indices (110...
Explanation:
Miller Indices:
- Miller indices are used to describe the orientation of planes in a crystal lattice.
- They are represented as (hkl), where h, k, and l are integers.
Powder XRD Pattern:
- Peaks in a powder XRD pattern correspond to the planes in a crystal lattice that are responsible for diffraction.
Given Peaks:
- Peaks corresponding to Miller indices (110), (111), (210), and (211) are observed in the powder XRD pattern.
Identifying Crystal Structure:
- The presence of peaks for (110), (111), (210), and (211) indicates a primitive cubic lattice structure.
- In a primitive cubic lattice, the Miller indices for the planes are (hkl) where h, k, and l are all odd or all even numbers.
Conclusion:
- Based on the given peaks, the metallic lattice is crystallized in a primitive cubic crystal structure.
Miller Indices:
- Miller indices are used to describe the orientation of planes in a crystal lattice.
- They are represented as (hkl), where h, k, and l are integers.
Powder XRD Pattern:
- Peaks in a powder XRD pattern correspond to the planes in a crystal lattice that are responsible for diffraction.
Given Peaks:
- Peaks corresponding to Miller indices (110), (111), (210), and (211) are observed in the powder XRD pattern.
Identifying Crystal Structure:
- The presence of peaks for (110), (111), (210), and (211) indicates a primitive cubic lattice structure.
- In a primitive cubic lattice, the Miller indices for the planes are (hkl) where h, k, and l are all odd or all even numbers.
Conclusion:
- Based on the given peaks, the metallic lattice is crystallized in a primitive cubic crystal structure.
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Community Answer
A metallic lattice exhibits peaks corresponding to Miller indices (110...
The set of Miller indices (110), (111), (210), and (211) correspond to the crystal planes that are responsible for the diffraction peaks observed in the X-ray diffraction (XRD) pattern of the metallic lattice.
To determine the packing of the crystal lattice, we need to know the allowed crystal planes in crystallography:
The Miller indices (110), (111), (210), and (211) are characteristic of a Primitive (FCC) lattice, which is one of the three common types of close-packed crystal structures.
This is because the Miller indices (110), (111), (210), and (211) are neither follow the criteria for a Face-centered cubic (fcc) cell nor for a Body-centered Cubic cell (BCC).
As for a Primitive lattice, all the (h,k,l) planes are allowed, it is crystallized in the primitive cubic lattice.
To determine the packing of the crystal lattice, we need to know the allowed crystal planes in crystallography:
The Miller indices (110), (111), (210), and (211) are characteristic of a Primitive (FCC) lattice, which is one of the three common types of close-packed crystal structures.
This is because the Miller indices (110), (111), (210), and (211) are neither follow the criteria for a Face-centered cubic (fcc) cell nor for a Body-centered Cubic cell (BCC).
As for a Primitive lattice, all the (h,k,l) planes are allowed, it is crystallized in the primitive cubic lattice.
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A metallic lattice exhibits peaks corresponding to Miller indices (110), (111), (210), and (211) in its powder XRD pattern. The metal is crystallized in the Bravis latticea)body centered cubicb)face centered cubicc)side centered cubicd)primitive cubicCorrect answer is option 'D'. Can you explain this answer?
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