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How many number of atoms are there in a cube based unit cell having one atom on each corner and two atoms on each body diagonal of cube -
- a)8
- b)6
- c)4
- d)9
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
How many number of atoms are there in a cube based unit cell having on...
There are 4 body diagonals in a cube.
There are two atoms in each diagonals.
Hence total no. of atoms atoms on the diagonal is 4x2=8
These 8 atoms are within the body of the cubic unit cell and are not shared by any other units.
The contribution of 8 corner atoms 8x1/8=8
therefore total no. of atoms in the unit cell = 8+1 = 9
Most Upvoted Answer
How many number of atoms are there in a cube based unit cell having on...
Explanation:
To calculate the number of atoms in a cube based unit cell, we need to consider the atoms present on the corners, faces, and body diagonals of the cube.
Given that the cube has one atom on each corner and two atoms on each body diagonal.
Number of atoms on corners = 8 × 1 = 8
Number of atoms on body diagonals = 4 × 2 = 8 (since each body diagonal passes through two corners)
Hence, the total number of atoms in the cube-based unit cell = 8 + 8 + 0 (since there are no atoms on the faces) = 16
But, we need to remember that each atom on the body diagonal is shared equally between two unit cells. Therefore, we need to divide the total number of atoms by two.
So, the actual number of atoms present in the cube-based unit cell = 16/2 = 8
Thus, the correct answer is option D) 9.
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To calculate the number of atoms in a cube based unit cell, we need to consider the atoms present on the corners, faces, and body diagonals of the cube.
Given that the cube has one atom on each corner and two atoms on each body diagonal.
Number of atoms on corners = 8 × 1 = 8
Number of atoms on body diagonals = 4 × 2 = 8 (since each body diagonal passes through two corners)
Hence, the total number of atoms in the cube-based unit cell = 8 + 8 + 0 (since there are no atoms on the faces) = 16
But, we need to remember that each atom on the body diagonal is shared equally between two unit cells. Therefore, we need to divide the total number of atoms by two.
So, the actual number of atoms present in the cube-based unit cell = 16/2 = 8
Thus, the correct answer is option D) 9.
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Explanation:
- To calculate the number of atoms in a cube based unit cell, we need to consider the atoms present on the corners, faces, and body diagonals of the cube.
- Given that the cube has one atom on each corner and two atoms on each body diagonal.
- Number of atoms on corners = 8 × 1 = 8
- Number of atoms on body diagonals = 4 × 2 = 8 (since each body diagonal passes through two corners)
- Hence, the total number of atoms in the cube-based unit cell = 8 + 8 + 0 (since there are no atoms on the faces) = 16
- But, we need to remember that each atom on the body diagonal is shared equally between two unit cells. Therefore, we need to divide the total number of atoms by two.
- So, the actual number of atoms present in the cube-based unit cell = 16/2 = 8
- Thus, the correct answer is option D) 9.
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Community Answer
How many number of atoms are there in a cube based unit cell having on...
In one unit cell.. there are total 8 corners so 8 atoms at 8 corner be present but only 1/8 part of those atoms contributed to that unit cellhence ====> 1/8 * 8 = 1 atom at corner of unit cell...There are total 4 diagonal in one unit cell...Do remember as diagonal present inside the unit cell atoms present on them will wholly / totally contribute only that cell...as there are 2 atoms on each diagonal... hence total atoms will be2* 4 = 8 ##Now 1 (at corners ) + 8 at diagonals = 9 atoms in unit cell...💯💯💯💯💯
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How many number of atoms are there in a cube based unit cell having one atom on each corner and two atoms on each body diagonal of cube -a)8b)6c)4d)9Correct answer is option 'D'. Can you explain this answer?
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How many number of atoms are there in a cube based unit cell having one atom on each corner and two atoms on each body diagonal of cube -a)8b)6c)4d)9Correct answer is option 'D'. 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 number of atoms are there in a cube based unit cell having one atom on each corner and two atoms on each body diagonal of cube -a)8b)6c)4d)9Correct answer is option 'D'. 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 number of atoms are there in a cube based unit cell having one atom on each corner and two atoms on each body diagonal of cube -a)8b)6c)4d)9Correct answer is option 'D'. Can you explain this answer?.
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