mn4j said:
It is one thing to say atoms in a solid behave differently from isolated atoms atoms in a gas. Of COURSE! That's why they call one a gas and the other a solid. It does not mean atoms in a solid have lost their identity.
Of course, with a few atoms, you have less orbital splitting and thus fewer energy levels. It is called a band because it has a large number of energy levels with small gaps between them so it is easy for an electron to jump from one to another.
That is beside the point. You are pointing out differences between free atoms and atoms in a solid. My point is simply that you have ATOMS in both cases. If you ask WHAT is vibrating in the phonon, it still boils down to ATOMS. They fact that the frequences and phases are correlated does not change this fact!
Read what I wrote:
ZapperZ said:
When atoms form a solid, they lose a lot of their individual identity (read our FAQ on photon transmission through a solid). If you don't learn anything else from this post, that last point is something you should remember.
If you have ever performed any photoemission experiment, the way I have done, you will see that within the first few eV of the band of the solid, the spectra is NOTHING like what you would get out of the individual atoms. It is only when you do CORE level photoemission that you start to get some resemblance of the spectra of the individual atoms. However, most of the behavior and properties of the solid comes predominantly from the first few eV of the band structure, i.e. the
valence band. My avatar comes from the photoemission spectra of the first few eV of a cuprate superconductor, which looks NOTHING like the spectra of copper or oxygen. Yet, this band structure is what governs the superconducting behavior of the material, which you do NOT get out of the individual atoms. It dictates if the material is a metal, a semiconductor, an insulator, etc. In more exotic material, the
long-range collective behavior dictates if it is a paramagnet, ferromagnet, antiferromagnet, etc. Nowhere are any of these the behavior of individual atoms. The valences orbital of these atoms look NOTHING, not even close, to the valence band of the solid.
The band structure of a solid is not created out of one, two, three, or even 200 atoms. It is created out of the collective behavior of ALL the atoms. That is the only way one can form the Fermi surface of a metal, which does not occur and makes no sense for individual atoms.
Zz.