ベーテ法

Bethe's method

[目次：理論(電子の散乱／回折／結像)]

結晶に電子線が入射したとき結晶下面での透過波および回折波の強度を計算する手法の一つ。電子波のエネルギーを与えて、結晶中で存在し得る電子波の状態(波数ベクトル)をシュレ−ディンガ−方程式から求め、境界条件によって入射する電子波と接続して出射面での透過波、回折波の振幅を求める方法。結晶中での多重回折(動力学的回折)が考慮されている。波数ベクトルを求める式はマトリックス形式になるので、マトリックス法とか、固有値法ともいう。

A method for calculating the intensities of transmitted and diffracted waves at the bottom plane of a crystalline specimen when the incident electron beam interacts with the specimen. In the "Bethe's method," the energy of the electron wave is given, and the states of the electron waves (wave number vectors) allowed in the crystal are obtained by the Schroedinger equation, and finally the amplitudes of transmitted and diffracted waves at the exit plane are obtained by connecting these waves to the incident electron wave using the boundary condition. In this method, multiple scattering (dynamical diffraction) is taken into account. Since the equation to obtain the wave vectors takes the form of a matrix, the method is termed the matrix method or the eigenvalue method.

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