IfGennanium crystallises in the same way as diamond, then which of the following statement is not correct? (a) Every atom in the structure is tetrahedrally bonded to 4 atoms. (b) Unit cell consists of 8 Ge atoms and co-ordination numbcr is4. (c) All the octahedral voids are occupied. (d) All the octahedral voids and 50% tetrahedral voids
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given : to find for diamond the given thing that is the structure and unit cell etc.
Explanation:
- in diamond the coordination number of carbon is 4 and have a unit cell 8 carbon atom.
- diamond is face centered unit cell fcc
- the carbon can be present at the face and even at the half of the tetrahedral void.
- one eight is the contribution of the of corner c atom of the unit cell.
- one half is the contribution of the c atom in the tetrahedral void is 1
- the number of c atom per unit cell
- 8×1/8+6×1/2+4 =1+3+4 =8
- c atom is at the centre of tetrahedral and surround by 4 c atom at 4 corner of 4 tetrahedral void.
- HENCE the coordination number is 4
HENCE this is the solution.
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