Modification of Analytical Expression of Electron Dynamical Diffraction

材料科学技术（英文）, 2004, 20(1): 1-2.

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1.Institute of Modern Physics, Xiangtan University, Xiangtan 411105, China

2.Institute of Modern Physics, Xiangtan University, Xiangtan 411105, China

3.Institute of Modern Physics, Xiangtan University, Xiangtan 411105, China

基金项目: 湖南省教委科研项目(01A003) This work is supported by the National Natural Science Foundation of China under the(10074052)

Modification of Analytical Expression of Electron Dynamical Diffraction

Keywords： Electron dynamical diffraction

Assuming that the wave function φ=eη, the Schrodinger equation can be written as △xuη+4πikxu▽xyη+4πikz ()η/()z+V(r)+()2η/()z2+(▽η)2=0/ .Neglecting the last two terms,an analytical expression of electron dynamical diffraction was derived by Qibin YANG et al. In this paper, the analytical expression is modified by further considering the second-order differential term 2η/ z2. When the accelerating voltage is not very high, or the sample is not very thin,the reciprocal vector g is large, the modification of the second-order differential is necessary; otherwise it can be neglected.

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Modification of Analytical Expression of Electron Dynamical Diffraction

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