The physical Model for the spherical HgS/CdS/HgS nanometer system and equations satistied by the electron motion are built. The energy and life span of s-electr on and the variation of the probability distribution with the width of the poten tial barrier and well are probed. Some important results indicate that the ener gy and life span of the electron increase with the increase of the potential bar rier width; electronic energy decreases with the increase of the potential well width, however the electronic life span is increased. The interaction between la yers has an important influence on the results.