PMID: 11334167May 4, 2001Paper

Imaging conditions for reliable measurement of displacement and strain in high-resolution electron microscopy

Ultramicroscopy
Martin Hÿtch, T Plamann

Abstract

We analyse the degree to which the lattice fringe displacements in an image correspond to displacements of the atomic planes in the specimen using lens transfer theory. Our basic assumption is that the exit wave function faithfully reproduces the displacements of the projected atomic structure. The way this information is imaged by the objective lens is then developed analytically. We observe an interchange of amplitude and phase information between the original and the reconstructed wave function. For symmetry-related reflections, we show that in the absence of beam amplitude variations, the displacements are imaged perfectly by the objective lens. The theoretical results are confirmed using one-dimensional simulations. For the more complicated case of non-centrosymmetric structures, beam tilts and crystal tilts, we study the implications for slowly varying displacement fields. Errors are found to be minimised in areas where the contrast of the lattice fringes is highest. Finally, we deduce from these theoretical results a number of practical rules.

References

Jun 23, 2001·Ultramicroscopy·H Schultrich, B Schultrich

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Citations

Jul 18, 2006·Microscopy and Microanalysis : the Official Journal of Microscopy Society of America, Microbeam Analysis Society, Microscopical Society of Canada·Ana M SanchezPeter J Goodhew
Sep 29, 2007·Microscopy and Microanalysis : the Official Journal of Microscopy Society of America, Microbeam Analysis Society, Microscopical Society of Canada·Elisa GuerreroSergio I Molina
Jan 20, 2012·Microscopy and Microanalysis : the Official Journal of Microscopy Society of America, Microbeam Analysis Society, Microscopical Society of Canada·Angelika HähnelHans-Jürgen Engelmann
Oct 3, 2012·Microscopy and Microanalysis : the Official Journal of Microscopy Society of America, Microbeam Analysis Society, Microscopical Society of Canada·Knut MüllerKerstin Volz
May 16, 2003·Nature·Martin J HÿtchJean-Michel Pénisson
May 3, 2014·Nature Communications·Peng GaoXiaoqing Pan
Jan 15, 2014·Nanoscale Research Letters·Daniel F ReyesDavid González
Jan 1, 2007·Nanoscale Research Letters·Juan G LozanoDavid González
Nov 26, 2015·Micron : the International Research and Review Journal for Microscopy·David CooperJean-Luc Rouvière
Jan 1, 2013·Ultramicroscopy·Vincenzo Grillo, Francesca Rossi
Mar 30, 2007·Ultramicroscopy·Pedro L GalindoSergio I Molina
Jan 28, 2006·Journal of Microscopy·A M SanchezP J Goodhew
Jun 22, 2015·Ultramicroscopy·Jonathan J P PetersAna M Sanchez
Aug 26, 2011·Ultramicroscopy·M J HÿtchE Snoeck
Mar 10, 2017·Microscopy and Microanalysis : the Official Journal of Microscopy Society of America, Microbeam Analysis Society, Microscopical Society of Canada·Cai Wen
Aug 27, 2005·Journal of Electron Microscopy·F HüeM J Hÿtch
Nov 7, 2017·Advanced Structural and Chemical Imaging·Jacob MadsenJakob Schiøz
Oct 1, 2005·Nanotechnology·J L TaraciS T Picraux
Jun 4, 2008·Physical Review Letters·Florian HüeAlain Claverie
Apr 16, 2011·Journal of Physics. Condensed Matter : an Institute of Physics Journal·S D'AddatoS Frabboni
Feb 8, 2020·Scientific Reports·Tadas PaulauskasArūnas Krotkus
Aug 28, 2021·Materials·Shizhe Feng, Zhiping Xu

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