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.