4. Lens Aberrations: Diagnosis and Correction

  1. Rik Brydson
  1. Andrew Bleloch1 and
  2. Quentin Ramasse2

Published Online: 26 JUL 2011

DOI: 10.1002/9781119978848.ch4

Aberration-Corrected Analytical Transmission Electron Microscopy

Aberration-Corrected Analytical Transmission Electron Microscopy

How to Cite

Bleloch, A. and Ramasse, Q. (2011) Lens Aberrations: Diagnosis and Correction, in Aberration-Corrected Analytical Transmission Electron Microscopy (ed R. Brydson), John Wiley & Sons, Ltd, Chichester, UK. doi: 10.1002/9781119978848.ch4

Editor Information

  1. Leeds Electron Microscopy and Spectroscopy (LEMAS) Centre, Institute for Materials Research, SPEME, University of Leeds, Leeds, UK

Author Information

  1. 1

    School of Engineering, University of Liverpool, Liverpool, UK

  2. 2

    SuperSTEM Facility, STFC Daresbury Laboratories, Daresbury, Cheshire, UK

Publication History

  1. Published Online: 26 JUL 2011
  2. Published Print: 16 SEP 2011

Book Series:

  1. RMS-Wiley Imprint

Book Series Editors:

  1. Susan Brooks

ISBN Information

Print ISBN: 9780470518519

Online ISBN: 9781119978848



  • lens aberrations - diagnosis and correction;
  • wave optics, progress of a wavefront - through optical system, calculated by wave equation;
  • Schrödinger's wave equation for electrons - and Maxwell's equations for electromagnetic waves;
  • geometric optics, approximation - limit of short wavelengths;
  • time-varying fields - in particle accelerators, pulsed beam moving around beam ring;
  • incoherent aberrations, where chromatic aberration - limiting resolution;
  • geometric lens aberrations, and their classification - perfect spherical wave, to a point focus;
  • spherical aberration-correctors - method, basis of two commercially available technologies;
  • chromatic aberration, limiting aberration - operation, at lowest accelerating voltages;
  • diagnosing lens aberrations - measuring aberration function


This chapter contains sections titled:

  • Introduction

  • Geometric Lens Aberrations and Their Classification

  • Spherical Aberration-Correctors

  • Getting Around Chromatic Aberrations

  • Diagnosing Lens Aberrations

  • Fifth Order Aberration-Correction

  • Conclusions

  • References