The performance characteristics of electron microscopes and
probe-forming instruments depend ultimately on the focal properties and
aberrations of electron lenses. A practical method of experimentally
determining the properties of electron lenses is described. The method
utilizes shadows cast by two meshes inserted separately in front of the
lens and behind the lens to study the properties of the image of a point
source. The image properties are then used to calculate the lens
properties. The paraxial values of the focal length and focal distance as
well as their spherical and chromatic aberrations are determined.
Experimental data and the analysis are presented in the form of a tutorial
that has been tested in the classroom. Discussions of the relationship
between image properties and lens properties, in particular, focal point
aberrations and focal length aberrations, and the various ways aberration
coefficients can be defined, are included to clarify concepts in optics
that are important for microscopists.