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How many atoms are there in a unit cell of Mg which forms hexagonal crystals, there being a face-centred atom in each end of the unit cell and 3 completely enclosed atoms within the unit cell-
- a)2
- b)6
- c)12
- d)8
Correct answer is option 'B'. Can you explain this answer?
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How many atoms are there in a unit cell of Mg which forms hexagonal cr...
6 face centred atom contbriution
and 3 atom and 3 atoms are enclosed so total number of enclosed atom in the unit cell = 3 +3 = 6 atom
and 3 atom and 3 atoms are enclosed so total number of enclosed atom in the unit cell = 3 +3 = 6 atom
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How many atoms are there in a unit cell of Mg which forms hexagonal cr...
Given information:
- Mg forms hexagonal crystals.
- There is a face-centred atom in each end of the unit cell.
- There are 3 completely enclosed atoms within the unit cell.
To find: The number of atoms in a unit cell of Mg.
Solution:
A unit cell is the smallest repeating unit of a crystal lattice. The number of atoms present in a unit cell depends on the crystal structure of the element or compound.
Mg has a hexagonal close-packed (HCP) structure, which means that its unit cell has a hexagonal shape with atoms located at the corners and in the center of each face.
The unit cell of Mg consists of:
- 2 atoms at the corners of the hexagon
- 1 atom in the center of each of the two hexagonal faces
- 3 atoms within the unit cell
Therefore, the total number of atoms in a unit cell of Mg is:
= 2 (atoms at corners) + 2 (atoms in face centers) + 3 (atoms within the unit cell)
= 7 atoms
However, the question specifically states that there are only 3 completely enclosed atoms within the unit cell. The other 4 atoms are located on the faces or corners of the unit cell and are shared with adjacent unit cells.
Therefore, the correct answer is option B, 6 atoms (3 completely enclosed atoms within the unit cell).
Conclusion:
- The unit cell of Mg has a hexagonal shape.
- There are 6 atoms in a unit cell of Mg, with 3 completely enclosed atoms within the unit cell.
- The other 3 atoms are located on the faces or corners of the unit cell and are shared with adjacent unit cells.
- Mg forms hexagonal crystals.
- There is a face-centred atom in each end of the unit cell.
- There are 3 completely enclosed atoms within the unit cell.
To find: The number of atoms in a unit cell of Mg.
Solution:
A unit cell is the smallest repeating unit of a crystal lattice. The number of atoms present in a unit cell depends on the crystal structure of the element or compound.
Mg has a hexagonal close-packed (HCP) structure, which means that its unit cell has a hexagonal shape with atoms located at the corners and in the center of each face.
The unit cell of Mg consists of:
- 2 atoms at the corners of the hexagon
- 1 atom in the center of each of the two hexagonal faces
- 3 atoms within the unit cell
Therefore, the total number of atoms in a unit cell of Mg is:
= 2 (atoms at corners) + 2 (atoms in face centers) + 3 (atoms within the unit cell)
= 7 atoms
However, the question specifically states that there are only 3 completely enclosed atoms within the unit cell. The other 4 atoms are located on the faces or corners of the unit cell and are shared with adjacent unit cells.
Therefore, the correct answer is option B, 6 atoms (3 completely enclosed atoms within the unit cell).
Conclusion:
- The unit cell of Mg has a hexagonal shape.
- There are 6 atoms in a unit cell of Mg, with 3 completely enclosed atoms within the unit cell.
- The other 3 atoms are located on the faces or corners of the unit cell and are shared with adjacent unit cells.
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Community Answer
How many atoms are there in a unit cell of Mg which forms hexagonal cr...
To form hexagonal crystal of any atom we need 6 atoms because hexa - 6
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How many atoms are there in a unit cell of Mg which forms hexagonal crystals, there being a face-centred atom in each end of the unit cell and 3 completely enclosed atoms within the unit cell-a)2b)6c)12d)8Correct answer is option 'B'. Can you explain this answer?
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How many atoms are there in a unit cell of Mg which forms hexagonal crystals, there being a face-centred atom in each end of the unit cell and 3 completely enclosed atoms within the unit cell-a)2b)6c)12d)8Correct answer is option 'B'. Can you explain this answer? for Class 12 2024 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about How many atoms are there in a unit cell of Mg which forms hexagonal crystals, there being a face-centred atom in each end of the unit cell and 3 completely enclosed atoms within the unit cell-a)2b)6c)12d)8Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for How many atoms are there in a unit cell of Mg which forms hexagonal crystals, there being a face-centred atom in each end of the unit cell and 3 completely enclosed atoms within the unit cell-a)2b)6c)12d)8Correct answer is option 'B'. Can you explain this answer?.
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