Assuming that the wave function φ>=eη, the Schrodinger equation can be written as. Neglecting the last two terms, an analytical expression of electron dynamical diffraction was derived by Qibin YANG et al. In thi...Assuming that the wave function φ>=eη, the Schrodinger equation can be written as. 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 thesecond-order differential term 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.展开更多
基金supported by the National Natural Science Foundation of China under the grant No.10074052Key Foundation of Education Department of Hunan Province No.01A003
文摘Assuming that the wave function φ>=eη, the Schrodinger equation can be written as. 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 thesecond-order differential term 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.