Electronic Devices Question 225

Question: The typical ionisation energy of a donor in silicon is

[IIT-JEE 1992]

Options:

A) 10.0eV

B) 1.0eV

C) 0.1eV

D) 0.001eV

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Answer:

Correct Answer: C

Solution:

When donor impurity (+5 valence) added to a pure silicon (+4 valence), the +5 valence donor atom sits in the place of + 4 valence silicon atom.

So it has a net additional + 1 electronic charge.

The four valence electron form covalent bond and get fixed in the lattice.

The fifth electron (with net - 1 electronic charge) can be approximated to revolve around + 1 additional charge.

The situation is like the hydrogen atom for which energy is given by E=13.6n2eV .

For the case of hydrogen, the permittivity was taken as e0.

However, if the medium has a permittivity er, relative to e0, then E=13.6εr2n2eV For Si, er = 12 and for n = 1, E~0.1eV



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