A criterion is presented for evaluating the suitability of different d
etector geometries in the scanning transmission electron microscope (S
TEM) for the-imaging of weak specimens at double the conventional brig
ht-field resolution. This criterion is then used to demonstrate that a
detector disc divided into three sectors (rather than four, as usuall
y employed) is the simplest configuration that allows for the subseque
nt reconstruction of the complex specimen function. A robust method is
described by which the complex specimen function can be reconstructed
from the images obtained by such a detector configuration. Computer s
imulations are presented, and methods are suggested by which the detec
tor and objective aperture alignment, and the objective focusing and s
tigmation, can be straightforwardly optimised using the recorded image
s.