A better microscope...
The best scanning electron microscopes can show only fuzzy pictures of
atoms.  To see anything smaller you must use smaller wavelengths,
.  For example the large wavelengths of 
water waves don't show any effects of a small vertical pole in their 
paths. But the shorter wavelengths of light give a shadow for that pole.

Energy and wavelength are inversely related: E is proportional to 
1/
.  So the smaller the particles that
you want to see, the more energy you need from your accelerator.
