To provide a matrix with the addition of semiconductor nanocrystals. In certain embodiments, these semiconductor nanocrystals have a size and composition to absorb or emit light of a particular wavelength. These nanocrystals, so that the light of the minimum portion is scattered by these matrices can include ligands that allow mixing with various matrix materials, including polymers such. These matrices, optionally, made from these ligands. Matrix of the present invention can also be utilized in index matching purposes. In other embodiments, the semiconductor nanocrystals are embedded in the matrix, to form a nanocrystal density gradient, therefore, make the effective refractive index gradient. Matrix of the present invention can be as filters and anti-reflective coating on the optical element, and also used as a low-frequency conversion layer. Also it provides a process to produce a matrix that contains the semiconductor nanocrystals. Also described nano structure having a indium phosphide nanostructures and method for generating a core-shell nanostructures, as well as small-scale with a high quantum efficiency, and / or narrow size distribution by using the II~VI group shell.