PMID: 11334165May 4, 2001Paper

An accurate analytical approach to electron crystallography

Ultramicroscopy
Q YangX Yan

Abstract

A much more accurate analytical expression of dynamical electron diffraction than the phase object approximation (POA) formula has been derived in this paper which decreases the restriction of sample thickness up to almost one order of magnitude compared to POA theory. The importance of the new expression is twofold. First, a sample with such a thickness that new expression remains valid can be prepared experimentally. Second, the new expression reveals a clear and straightforward relationship between the wave function and crystal potential. In the expression, the effect of dynamical diffraction on wave function can be simply attributed to two factors TP(D) = (sin(lambda pi zg2))/(4pi2g2) and TA(D) = [1 - cos(lambda pi zg2)]/4pi2g2. Compared to the effect of transfer functions of an electron microscope on wave function, we found that TP(d) and TA(d) play the same role as transfer function but are independent of the instrument. For this reason, we here call the former as "extrinsic transfer functions" and the latter as "intrinsic" ones. In principle, one should correct not only extrinsic transfer functions but also intrinsic ones if one desires to achieve higher resolution.

References

Sep 1, 1995·Journal of Structural Biology·E NogalesK H Downing
Jan 16, 1995·Physical Review Letters·A OrchowskiH Lichte
Sep 7, 1999·Nature·W M ClemonsV Ramakrishnan
Oct 16, 1999·Science·E Pennisi

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Citations

Dec 27, 2008·Micron : the International Research and Review Journal for Microscopy·Can Ying CaiQi Bin Yang
Jun 13, 2008·Ultramicroscopy·Canying CaiQibin Yang
Mar 18, 2008·Micron : the International Research and Review Journal for Microscopy·Can Ying CaiQi Bin Yang
Jun 2, 2011·Journal of Structural Biology·Xing Zhang, Z Hong Zhou

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