Ionization energy – Bohr model +- Happy Hearts Day!

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Presentation transcript:

Ionization energy – Bohr model +-

Happy Hearts Day!

Fermi-Dirac distribution

Distribution of states & electrons Fermi function..

Figure 3-1 a

a

Problem 3.5 The magnitude of the product g(E) & Fermi(E) in the conduction band is a function of energy as shown in Figure 3.1. Assume the Boltzmann approximation is valid. Determine the energy with respect to Ec at which the maximum occurs.

Typical numbers Silicon Normalized electron effective mass Normalized hole effective mass Gallium arsenide Germanium Normalized mass equals effective mass/rest mass of the electron

n type extrinsic semiconductor

p type extrinsic semiconductor

Ionization energies in silicon and germanium in electron volts Impurity Si Ge Donors Phosphorus Arsenic Acceptors Boron Aluminum

Conduction band Valence band

Current density – charges in motion +-

collisions +

+

+

Lattice structure will also vibrate due to T > 0 “lattice scattering”

Conductivity and resistivity

I V

You enter the laboratory and see an experiment. How will you know which class is it? If it's green and wiggles, it's biology. If it stinks, it's chemistry. If it doesn't work, it's physics.

Teachers' remarks that changed the history of physics Copernicus, when will you understand that you are not the center of the world? Galileo, if you will drop stones from the top of the tower one more time, you will be dismissed forever. Kepler, till when will you stare at the sky? Newton, will you please stop idling away under the apple tree? Ohm, must you resist Ampere's opinions on current events? Nikola Tesla, I see that everyone is attracted to your magnetic personality. Einstein, a crocodile is greener or is it wider? Schrödinger, stop abusing cats! Heisenberg, when will you be sure of yourself?

Simple three-dimensional unit cell