Observation of lens aberrations for high resolution electron microscopy II: simple expressions for optimal estimates

How low can we go? Structure determination of small biological complexes using single-particle cryo-EM

For decades, high-resolution structural studies of biological macromolecules with masses of <200kDa by cryo-EM single-particle analysis were considered infeasible. It was not until several years after the advent of direct detectors that the overlooked potential of cryo-EM for studying small complexes was first realized. Subsequent advances in sample preparation, imaging, and data processing algorithms have improved our ability to visualize small biological targets. In the past two years alone, nearly two hundred high-resolution structures have been determined of small (<200kDa) macromolecules, the smallest being approximately 39kDa in molecular weight. Here we summarize some salient lessons and strategies for cryo-EM studies of small biological complexes, and also consider future prospects for routine structure determination.

The correction of electron lens aberrations

The progress of electron lens aberration correction from about 1990 onwards is chronicled. Reasonably complete lists of publications on this and related topics are appended. A present for Max Haider and Ondrej Krivanek in the year of their 65th birthdays. By a happy coincidence, this review was completed in the year that both Max Haider and Ondrej Krivanek reached the age of 65. It is a pleasure to dedicate it to the two leading actors in the saga of aberration corrector design and construction. They would both wish to associate their colleagues with such a tribute but it is the names of Haider and Krivanek (not forgetting Joachim Zach) that will remain in the annals of electron optics, next to that of Harald Rose. I am proud to know that both regard me as a friend as well as a colleague.