The number of atoms in a body centred cubic unit cell of a monoatomic elementary substance is equal to: (a) one (b) two (c) three (d) four
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c is the correct answer
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Answer:
The correct option is : (b) two.
The number of atoms in a body centred cubic unit cell of a monoatomic elementary substance is equal to two.
Explanation:
- Nature's body-centered cubic (BCC) atom arrangements are known by this term.
- A body-centered cubic unit cell structure is made up of atoms arranged in a cube with one atom in the centre and one atom shared by each of the cube's four corners.
- Eight more unit cells share the atom in the corners of the cube.
- As a result, every corner atom stands in for one-eighth of an atom. Consequently, it is claimed that the BCC structure has a coordination number of 8.
Since there are 8 atoms in each corner of a primitive unit cell and 8 unit cells share each corner atom, the total number of atoms supplied is equal to:
8 x 1/8 = 1 atom.
One atom is occupied in the body's centre and there are eight atoms at each of the cell's four corners.
We are aware that one atom is contributed by eight corner atoms (8 x 1/8 = 1) and that one body-centered atom only belongs to one unit cell. Consequently, there are two atoms overall in a body-centered unit cell.
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