"... in terms of modern solid state physics, what does “transparent” mean? It means that, in the energy spectrum of the electrons in the material, there is a gap of forbidden energies between the occupied states and the empty states ; light quanta corresponding to a visible wave-length do not have the energy needed to make electrons jump across it. This gap is quite a sophisticated concept, entirely dependent on quantum mechanics, and introduced for solids in the 1930’s by the pioneering work of Bloch, Peierls and A. H. Wilson. The theory was based on the assumption that the material was crystalline. ... my coworkers and I ... asked the question "how can glass be transparent?."
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