This invention relates to semi-conductor and lighting technology, specificly about semiconductor white light light-emitting diode, which can be used to constitute lighting system and used in manufacture, life and ornament. The recommendatory ight-emitting diode is heterogeneous knot based mainly by gallium nitride and indium nitride, and it is equipped with gadolinium-yttrium-lutetium group. The optical spectrum converter current equation of ceriumcatalytic scattering luminescence powder, which has multiple edges and big partcle size, is: Gd3-x-y-zYxLuyCezAlpOq, and the range of chemical indexes change as follows: 1. 0<x<2. 6, 0. 0001<=y<=0. 5, 0. 0001<=z<=0. 5, 4. 7<=z<=5. 3, q=4. 5+1. 5*p. The luminescence powder, which is painted on the surface and end face of the heterogeneous knot, again radiates short-wave blue light excited by the heterogeneous knot, accordingly issue wide band yellow-orange light, which composes with the blue light and forms homogeneous anamorphic white light.The big-particle luminescence powder has no light scattering totally and high quantum outputing value, so very high light intensity is grantuated, which is over 100 candelas, and its radiation angle is small (2theta=6degree).