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《Journal of Chinese Electron Microscopy Society》 2002-01
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Real space algorithm of phase grating preparation in high-resolution electron microscopy image for periodic and non-periodic structure

LIU Qiu xiang 1, YANG Qi bin 2, WANG Yuan ming 1 (1 Laboratory of Atomic Imaging of Solids, Institute of Metal Research, Chinese Academy of Sciences,Shenyang, Liaoning 110015; 2 Institute of Modern Physics, Xiangtan University, Xiangtan, Hunan 41  
Based on a definitely integral formula, an analytical expression for calculating atomic potential distribution function U(r→) was derived as follows:U(r→)=(1/V C)∑Nn=1∑5j=1a nj (4π/(b nj +B n)) 3/2 exp (-4π 2(r→ n-r→) 2/(b nj +B n)).According to the above analytical expression, the phase grating for periodic crystal (Mg 44 Rh 7) as well as non periodic (C 60 ) structure can be calculated in real space and the computation time can be reduced greatly. In the paper, the analytical expression was derived firstly, and then the calculation procedure was described in details. Finally, the comparison was carried out between the analytical method in real space and the digitized method i.e. fast Fourier transformation method in reciprocal space.
【Fund】: 国家自然科学基金资助项目 (No :10 0 740 5 2 )~~
【CateGory Index】: O439
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1 LIU Qiuxiang, YANG Qibin (Institute of Modern Physics, Xiangtan University, Xiangtan 411105) WANG Yuanming, DU Kui (Laboratory of Atomic Imaging of Solids, Institute of Metal Research, The Chinese Academy of Sciences, Shenyang 110016) Correspondent: YANG;IMAGE SIMULATION FOR NON-ORTHOGONAL CRYSTAL SYSTEM BY REAL SPACE METHOD[J];Acta Metallrugica Sinica;2001-10
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