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Computational comparison of the conventional multislice method and the real space multislice method for simulating

Can Ying Cai¹, Song Jun Zeng, Hong Rong Liu

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

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|December 27, 2008

Summary

The real space multislice (RS-MS) method offers superior precision for TEM sample simulations compared to the conventional multislice (C-MS) method. RS-MS allows for larger slice thicknesses, potentially increasing calculation speed and accuracy.

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Area of Science:

Materials Science
Computational Physics
Electron Microscopy

Background:

Accurate simulation of electron wave propagation is crucial for Transmission Electron Microscopy (TEM) analysis.
Conventional multislice (C-MS) methods are widely used but may suffer from precision limitations.
Real space multislice (RS-MS) offers an alternative computational approach.

Purpose of the Study:

To compare the precision and efficiency of the C-MS and RS-MS methods for TEM exit wavefunction simulations.
To evaluate the impact of slice thickness on the accuracy of both simulation methods.
To determine the suitability of RS-MS for high-precision TEM calculations.

Main Methods:

Simulation of TEM sample exit wavefunctions using both C-MS and RS-MS methods.
Systematic variation of slice thickness in both computational approaches.
Comparative analysis of results for precision and computational performance.

Main Results:

RS-MS results demonstrated high stability, remaining constant to seven significant figures across varying slice thicknesses.
C-MS results exhibited significant variations with changes in slice thickness.
C-MS was identified as a first-order approximation of the RS-MS method, indicating lower precision.
RS-MS allows for significantly larger slice thicknesses for equivalent precision, potentially improving computational speed.

Conclusions:

The RS-MS method provides significantly higher calculation precision than the C-MS method for TEM simulations.
RS-MS is more suitable for precise TEM exit wavefunction calculations due to its accuracy and potential for faster computation.
The flexibility in slice thickness for RS-MS enhances its applicability in advanced TEM simulations.