Fringy, science-stuff, maybe fact or fiction?

Valence band (O.K. I yell "uncle" Pooklekufr , he was right and I was wrong.) Bands not bonds.

In solids, the valence band is the highest range of electron energies where electrons are normally present at absolute zero. In semiconductors and insulators, there is a bandgap above the valence band, followed by a conduction band above that. In metals, the conduction band has no energy gap separating it from the valence band. (The rest of this article refers to the valence band in semiconductors and insulators.)

Semiconductor band structure
See electrical conduction and semiconductor for a more detailed description of band structure.

Semiconductors and insulators owe their low conductivity to the properties of the valence band in those materials. It just so happens that the number of electrons is precisely equal to the number of states available up to the top of the valence band. There are no available states in the bandgap. This means that when an electric field is applied, the electrons cannot increase their energy (i.e. accelerate) because there are no states available to the electrons where they would be moving faster than they are already going.

There is some conductivity in insulators, however. This is due to thermal excitation - some of the electrons get enough energy to jump the bandgap in one go. Once they are in the conduction band, they can conduct electricity, as can the hole they left behind in the valence band. The hole is an empty state which allows electrons in the valence band some degree of freedom.

It is a common misconception to refer to electrons in insulators as "bound" - as if they were somehow attached to the nucleus and couldn't move. Electrons in insulators are quite free to move - in fact they move at a speed on the order of 100 km (60 mi) per second! They are also delocalised, having no well defined position within the sample.

Posted by: NeutronNorman at 14:42 | link | comments (2)

Comments:

#1  28 October 2007 - 14:48

 

Don't you get the impression that the scientists working on superconductance are having way too much fun?

"Look at this liquid helium. I know that the quantum state of each particle is identical to its neighbor, it has in effect become one giant Cooper pair. Turbulence free! Now let's make the entire vat splash up and get Dr. Vines in the face."

Pooklekufr

#2  28 October 2007 - 23:25

 

Remind me to tell you my experiences with liquid nitrogen while screwing around with a 700 MHz nmr.

NeutronNorman

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