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Nanotechnology A quantum dot contains a confined electron. A photon enters the dot and imparts additional...

Nanotechnology

A quantum dot contains a confined electron. A photon enters the dot and imparts additional energy to the confined electron, causing it to jump from the ground state to the n = 3 state. What would the diameter, D, of the dot have to be in order to keep the excited electron confined?

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Answer #1

Assume that the electron is confined in an infinite potential well

then, the photon energy will be the difference in energy of the two states n = 3 and n = 1

=>

=>

=>

where h = 6.626 x 10-34 Js , m = 9.1 x 10-31 kg and f = frequency of the photon.

This is the desired diameter of the quantum dot.

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