JonW.24 said:
I have no concept of how the smashing of atoms plays out having never seen actual video, (would there even be a visible flash?), but my question is I guess is why is collecting the broken pieces of atoms difficult? Could the collision not occur in a magnetic field strong enough to contain the resulting sub-particles for further study? Is the problem that the matter evaporates into energies rather than just actual physical particles?
As others have explained, one cannot 'see' atoms, or protons or electrons, but we can detect their presence, either by light emitted, or by the influence of their charge and motion in matter. And of course, we don't see subatomic particles. We take about 'detection'.
Even if we had power microscopes, we cannot directly 'see' atoms, but only the influence of the electric field or light emitted from the atoms.
It is not clear what one means by 'broken pieces of atoms'. An atom refers to a structure composed of a nucleus, which contains protons and neutrons, and a 'cloud' of electrons. Atoms tend to be neutral, i.e., the number of electrons = number of protons in the nucleus. We can temporarily ionize an atom by removing one or more electrons, but then any nearby electron will try to recombine with a + charged ion. We can also form negatively charged ions (anions), but they will readily give up their extra electrons to a positively charged ion (cation).
There are different ways to 'smash' atoms. One can accelerate protons, or other atoms, and direct he beam at a target, or collide with another beam. In order to accelerate a proton or atom, a proton or nucleus must be separated from the electron, since we use electric potentials to accelerate charged particles. Electrons can be accelerated and directed at atoms or nuclei as well.
Often, we need to accelerate particles, e.g., protons or nuclei, to high energies to effect collisions with other particles or nuclei. The energy imparted to particles or nuclei depends on what reaction one wishes to study or achieve.
Following some nuclear or particle interaction, the products are 'detected' by interaction with other matter in various detectors. It is by virtue of the light emitted from the detector matter that we 'see' the presence of the particle, but not the particle itself.
Nuclear interactions involve energies in the keV or MeV or even GeV range depending. X-rays (and low energy gamma rays) are in the keV range, and gammas are typically in the 10's of keV to high MeV range. Compare these energies to visible light in the eV range or ultraviolet light, which is on the order of 10 eV.
Our eyes and chemical systems operate in the low eV/atom range.