11. The metal contacts are characterized by a constant density of states , filled up to the Fermi energy. 12. This second capacitance, related to the density of states of the plates, is the quantum capacitance. 13. :Where & rho; ( x ) is the density of states in the neighborhood of x. 14. Optical properties of carbon nanotubes derive from electronic transitions within one-dimensional density of states ( DOS ). 15. As the electron increases in energy, the electron density of states increases and more states become available for occupation. 16. Figure 4 : The Fermi-Dirac probability distribution, density of states , and their product for a semiconductor. 17. However, in metals which normally have a broad featureless electronic density of states , Knight shifts are temperature independent. 18. As the kubo gap increases there is also a decrease in the density of states located at the Fermi level. 19. Radiative relaxation is in competition with non-radiative relaxation, so phonon density of states becomes an important factor. 20. The Wang and Landau algorithm is used to obtain the density of states of a system characterized by a cost function.