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## Density of statesIn statistical and condensed matter physics, ## Additional recommended knowledgeIn a three-dimensional system, the density of states in reciprocal space (k-space) is where Since in (crystalline) materials, the number of states scales linearly with the volume, a different definition of the density of states is sometimes used, in which ## Crystalline materialsIn a crystalline material, where quantum-mechanical states can be described in terms of their wavevector where it can be derived that the number of states for a single branch. To calculate the density of energy states and for a photon in vacuum, In solids, the relation between The above relation is only meaningful if the energy only depends on the magnitude | ## Photonic crystalsA photonic crystal is a structure that has a periodic structure on the scale of the wavelength of light, rather than on the scale of atomic dimensions. In a photonic crystal, the density of photon states is zero for photons propagating in certain directions, and sometimes even in any direction. The latter has the interesting consequence that an excited atom or molecule embedded in such a photonic crystal cannot make a transition to the ground state by radiating a photon, while it would make this transition if it had been in vacuum or an ordinary material. ## See alsoCategories: Condensed matter physics | Statistical mechanics |

This article is licensed under the GNU Free Documentation License. It uses material from the Wikipedia article "Density_of_states". A list of authors is available in Wikipedia. |