Electron diffraction patterns obtained with a coherent incident beam o
f diameter 1 nm or less do not, in general, show a center of symmetry
even for thin phase objects. Experimental observations of nanodiffract
ion patterns obtained from the walls of carbon nanotubes show asymmetr
ies in the intensities of the first-order reflections from the carbon-
layer stacking periodicity which are in agreement with calculations fr
om a simple theoretical model. It is suggested that the measurement of
such asymmetries may provide evidence regarding the structures of nan
otubes of non-circular cross-section and of the end regions of tubes.