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Aberration correction in electron microscopy

  • Harald Rose EMAIL logo
Published/Copyright: February 12, 2022
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Abstract

Spherical and chromatic aberrations limit the resolution of conventional electron microscopes. Both defects are unavoidable in the case of static rotationally symmetric electromagnetic fields (Scherzer theorem). To compensate for these aberrations, multipole correctors or electron mirrors are required .The correction of the resolution-limiting aberrations is demonstrated for the hexapole corrector, the quadrupole-octopole corrector, and the tetrode mirror. Electron mirrors require a magnetic beam separator, which must be free of second-order aberrations. The multipole correctors are highly symmetric telescopic systems compensating for the defects of the round lenses. The hexapole corrector has the simplest structure yet eliminates only third-order spherical aberration and coma, whereas the mirror and the quadrupole-octopole (QO) corrector are able to correct the chromatic aberration as well. The QO corrector eliminates chromatic aberration by means of crossed electric and magnetic quadrupoles and the third-order spherical aberration by octopoles. At present, aberration-corrected electron microscopes obtain a resolution limit of about 1 Å.


Dedicated to Professor Dr. Knut Urban on the occasion of his 65th birthday



Prof. Dr. Harald Rose Tu Darmstadt, Institute of Applied Physics Hochschulstraße 6, D-64289 Darmstadt, Germany Tel.: +49 6151 162481 Fax: +49 6151 166053

Funding statement: I want to thank P. Hartel, H. Mueller, and S. Uhlemann, CEOS-GmbH, for placing Figs. 2, 4, and 8 at my disposal and W. Wan, LBNL, for helpful discussions and assistance. Support by U.S. DOE Contract No. DE-AC03-76SF00098 is gratefully acknowledged

References

[1] O. Scherzer: Z. Phys. 101 (1936) 593.10.1007/BF01349606Search in Google Scholar

[2] O. Scherzer: Optik 2 (1947) 114.Search in Google Scholar

[3] H. Rose, D. Krahl: Electron optics of imaging energy filters, in: L. Reimer (Ed.), Energy-Filtering Electron Microscopy, Springer, Berlin (1995) 43.10.1007/978-3-540-48995-5_2Search in Google Scholar

[4] J. Zach, M. Haider: Nucl. Instr. and Meth. A 363 (1995) 316.10.1016/0168-9002(95)00056-9Search in Google Scholar

[5] R. Seeliger: Optik 8 (1951) 311.Search in Google Scholar

[6] V. Beck, A. Crewe: Proc. 34th EMSA Meeting (1976) 578.10.1017/S0424820100092852Search in Google Scholar

[7] H. Koops, G. Kuck, O. Scherzer: Optik 48 (1977) 225.10.1902/jop.1977.48.4.225Search in Google Scholar

[8] O.L. Krivanek, N. Delby, A.R. Lupini: Ultramicroscopy 78 (1999) 52.10.1016/S0304-3991(99)00013-3Search in Google Scholar

[9] H. Rose: Optik 85 (1990) 19.10.1002/pauz.19900190221Search in Google Scholar

[10] M. Haider, H. Rose, S. Uhlemann, E. Schwan, B. Kabius, K. Urban: Ultramicroscopy 75 (1998) 52.10.1016/S0304-3991(98)00048-5Search in Google Scholar

[11] P. Schlossmacher, A. Thesen, G. Benner: European Semiconductor 27 (2005) 22.Search in Google Scholar

[12] D. Preikszas, H. Rose: J. Electron Microsc. 46 (1997) 1.10.1093/oxfordjournals.jmicro.a023484Search in Google Scholar

[13] W. Wan, J. Feng, H.A. Padmore, D.S. Robin: Nucl. Instr. and Meth. A519 (2004) 222.10.1016/j.nima.2003.11.159Search in Google Scholar

Received: 2006-11-08
Accepted: 2006-04-03
Published Online: 2022-02-12

© 2006 Carl Hanser Verlag, München

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