Question

An electron is confined to a 1 micron (1.00 x 10^{-6}m)
thin layer of silicon. Assuming that the silicon can be described
by a one-dimensional box with infinite potential walls, calculate
the lowest possible energy within the material. The effective mass
of electrons in silicon is m^{*} = 2.37 x 10^{-31}
kg.

Answer #1

*Solution:*

- Length of the one dimensional box, L = 10-6 m
- The effective mass of electrons in silicon, m* = 2.37 x 10-31 kg

The energy of the eletron confined in infinite walls with length, L is

For minimum energy, n = 1

**Em = 1.5 x 10-6 eV**

**Em = 1.5
eV**

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