中国物理B ›› 2013, Vol. 22 ›› Issue (5): 57901-057901.doi: 10.1088/1674-1056/22/5/057901

• CONDENSED MATTER: ELECTRONIC STRUCTURE, ELECTRICAL, MAGNETIC, AND OPTICAL PROPERTIES • 上一篇    下一篇

Formula for average energy required to produce a secondary electron in an insulator

谢爱根, 詹煜, 高志勇, 吴红艳   

  1. School of Physics and Optoelectronic Engineering, Nanjing University of Information Science and Technology, Nanjing 210044, China
  • 收稿日期:2012-08-23 修回日期:2012-10-22 出版日期:2013-04-01 发布日期:2013-04-01
  • 基金资助:
    Project supported by the Special Funds of the National Natural Science Foundation of China (Grant No. 51245010) and the Natural Science Foundation of Jiangsu Province, China (Grant No. 10KJB180004).

Formula for average energy required to produce a secondary electron in an insulator

Xie Ai-Gen (谢爱根), Zhan Yu (詹煜), Gao Zhi-Yong (高志勇), Wu Hong-Yan (吴红艳)   

  1. School of Physics and Optoelectronic Engineering, Nanjing University of Information Science and Technology, Nanjing 210044, China
  • Received:2012-08-23 Revised:2012-10-22 Online:2013-04-01 Published:2013-04-01
  • Contact: Xie Ai-Gen E-mail:xagth@126.com
  • Supported by:
    Project supported by the Special Funds of the National Natural Science Foundation of China (Grant No. 51245010) and the Natural Science Foundation of Jiangsu Province, China (Grant No. 10KJB180004).

摘要: Based on a simple classical model specifying that the primary electrons interact with the electrons of a lattice through the Coulomb force and a conclusion that the lattice scattering can be ignored, the formula for the average energy required to produce a secondary electron (ε) is obtained. On the basis of the energy band of an insulator and the formula for ε, the formula for the average energy required to produce a secondary electron in an insulator (εi) is deduced as a function of the width of the forbidden band (Eg) and electron affinity χ. Experimental values and the εi values calculated with the formula are compared, and the results validate the theory that explains the relationships among Eg, χ, and εi and suggest that the formula for εi is universal on the condition that the primary electrons at any energy hit the insulator.

关键词: width of forbidden band, electron affinity, average energy, insulator

Abstract: Based on a simple classical model specifying that the primary electrons interact with the electrons of a lattice through the Coulomb force and a conclusion that the lattice scattering can be ignored, the formula for the average energy required to produce a secondary electron (ε) is obtained. On the basis of the energy band of an insulator and the formula for ε, the formula for the average energy required to produce a secondary electron in an insulator (εi) is deduced as a function of the width of the forbidden band (Eg) and electron affinity χ. Experimental values and the εi values calculated with the formula are compared, and the results validate the theory that explains the relationships among Eg, χ, and εi and suggest that the formula for εi is universal on the condition that the primary electrons at any energy hit the insulator.

Key words: width of forbidden band, electron affinity, average energy, insulator

中图分类号:  (Electron impact: secondary emission)

  • 79.20.Hx