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A doped semiconductor has impurity level...

A doped semiconductor has impurity levels `40 me V` below the conductor band. Is the material n-type or p-type? In a thermal collision, an amount kT of energy is given to the extra electron loosely bound to the impurity ion and this electron is just able to jump into the conduction band. Calculate the temperature T. Given `k=8.62xx10^(-5) eV//K`.

Text Solution

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Since energy gap between impurity levels
and conduction band `=40meV,` which is much smaller than energy gap of pure semiconductor between valence band and conduction band `(~1eV)`, hence the impurity levels are of donor levels and the impurity added has valence five. Thus, the doped semiconductor is of n-type.
As per question, `kT=40meV`
or `T=(40meV)/k`
`=(40xx10^(-3)eV)/(8.62xx10^(-5)eV//k)=464K`
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