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(i) Which type of semiconductor is silli...

(i) Which type of semiconductor is sillicon having arsenic as impurity?
(ii) An elements (density = `7.2g*cm^(-3)`) crystallises in a body-centred cubic structure having its cell edge length 2.88Å. Calculate the number of atoms and the number of unit cells present in 156g of the element.

Text Solution

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(i) n-type semiconductor.
(ii) The molar mass of the element can be calculated by using the relation, `M=(rhoxxNxxa^(3))/Z`
For a bcc lattice, Z = 2. The given information are:
`rho=7.2g*cm^(-3)anda=2.88xx10^(-8)cm`
`M=(7.2xx6.022xx10^(23)xx(2.88xx10^(-8))^(3))/2g*mol^(-1)`
`=51.8g*mol^(-1)`
The number of atoms in 156g of the element
`=(6.022xx10^(23))/51.8xx156=1.813xx10^(24)`
As there are 2 atoms per bcc unit cell, the number of unit cells in 156g of the element would be =
`1/2xx1.813xx10^(24)=9.065xx10^(23)`
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