1.

(i) What is the total number of voids in cubic close-packed lattice? (ii) Metallic gold (Au) crystallises in face-centred cubic lattice. What is the number of unit cells in 2.0g of gold? [Au = 197] or, (i) What is a p-type semiconductor? (ii) A cubic crystal is made up of elements A and B. B is located at the corners of the unit cell and A is at the body-centre. What will be the probable formula of the compound?

Answer»

Solution :(i) In CUBIC close-packed lattice, the total number of voids equals to 12 per unit cell.
(II) 197 G Au contains `6.022xx10^(23)` atoms.
`THEREFORE" "2.0g` Au contains,
`(2xx6.022xx10^(23))/197=6.144xx10^(21)` atoms
In fcc lattice, there are 4 atoms per unit cell.
`therefore6.114xx10^(21)` atoms consist
`(6.114xx10^(21))/4=1.528xx10^(21)` unit cells.
Therefore, `2.0`g Au consists `1.528xx10^(21)` unit cells of fcc lattice.
(ii) B atoms are located at the corners of cubic unit cell.
Therefore, number of B atom per unit cell = `8xx1/8=1`
A atoms are located at the body-centre.
Therefore, number of A atoms per unit cell = 1
Thus, the formula of the COMPOUND wil be AB.


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