An adapted LED is provided comprising a short-wavelength LED and a re-emitting semiconductor construction, wherein the re-emitting semiconductor construction comprises at least one potential well not located within a pn junction. The potential well(s) are typically quantum well(s). The adapted LED may be a white or near-white light LED. The re-emitting semiconductor construction may additionally comprise absorbing layers surrounding or closely or immediately adjacent to the potential well(s). In addition, graphic display devices and illumination devices comprising the adapted LED according to the present invention are provided.