US EPA

4193180 

Journal Article 

Influences of the size and breadth of potential barrier on electronic scattering cross-section. in spherical nanometer system 

Wu Qiang; Zheng Rui-Lun 

2011 

1 

Wuli Xuebao
ISSN: 1000-3290 

60 

12 

WOS:000299359800070 

Under the condition of the spherical square potential model and the effective mass approximation, the electronic scattering cross-section and the electronic probability distribution are obtained in an open-type spherical nanometer system, and the influences of the size and the width of potential barrier on electronic scattering cross-section, resonance energy and resonance width are discussed. The results show that there exist one maximum and one minimum in the distribution curve of the electronic scattering cross-section versus energy, and the maximum of electronic energy probability distribution curve is between the maximum and the minimum of energy in the scattering cross-section curve; the scattering cross-section increases with the increase of r(0), the inner radius, and the scattering cross-section curve will change from smoother to sharper with the increase of r(0); the scattering cross-section will enlarge with Delta, the width of potential barrier, but it will become abnormal when Delta is between 1. 4a(cds) 1. 7a(cds); when Delta = 1. 6a(cds) the scattering cross-section is extremely small; E-i the electronic resonance energy changing with Delta, is related to the electronic state, while Gamma(i) the electronic resonance width will decrease with the increase of Delta; no matter what Delta is, both E-i, and Gamma(i), satisfy the uncertainty principle of energy and time. 

spherical nanometer system; breadth of potential barrier; electronic scattering section; electronic probability distribution