The variation of the electronic energy in a columnar nanometer system with the i ncrease of radius is established, and the HgS/CdS/HgS nanometer system is used to discuss the influence of the layer_to_layer interaction energy on the electr onic energy spectrum of electrons. Some important results indicate that the ene rgy of the electronic energy increases with the increase of the potential barrie r width and the wave vector, while the potential well width and the layer_to_la yer interaction energy makes the electronic energy larger, but it doesn't effec t the variation of electronic energy with the potential well width, potential ba rrier or the wave vector.