The process of achieving nuclear fission involves bombarding a nucleus with a particle, such as a proton, in order to induce a nuclear reaction. However, measuring the necessary "machs" is not a conventional way to quantify the energy required for nuclear fission.
The energy required for nuclear fission is typically measured in electron volts (eV) or other energy units. To achieve nuclear fission, the energy of the incoming particle, such as a proton, needs to exceed the binding energy of the nucleus being targeted. The binding energy represents the amount of energy required to overcome the forces holding the nucleus together.
Different isotopes have different binding energies, so the energy required for nuclear fission varies depending on the specific nucleus being targeted. Generally, higher atomic number nuclei (heavier elements) require higher energies to induce fission.
For example, Uranium-235 (U-235), a commonly used fissile isotope, has a binding energy of approximately 178 million electron volts (MeV). To achieve nuclear fission in U-235, an incoming particle, such as a proton, would need to have sufficient energy to overcome this binding energy barrier.
It's worth noting that achieving nuclear fission involves considerations beyond just the energy of the incoming particle, such as the efficiency of energy transfer, the cross-sectional interaction probability, and other factors related to the specific reaction and experimental conditions.
To summarize, while the concept of "machs" is not typically used to quantify the energy required for nuclear fission, the energy of the incoming particle needs to exceed the binding energy of the nucleus being targeted.