That is the stopping power, but for the energy loss, you've forgotten to write dx, to show what variable you are integrating over. And about the solution, the stopping power will depend on the energy of the particle, and the medium its going through, etc, so you'll need to use a particular model to find a solution. This might be useful: http://en.wikipedia.org/wiki/Stopping_power_(particle_radiation )m3h said:Stopping power=-dE/dx
Energy loss=∫-dE/dx (I think)
m3h said:When you said I needed to add dx, did you mean I should write ∫(dE/dx)dx? Doesn't dx disappear then?
Shouldn't it be enough to solve the diff equation above?
Energy loss is the decrease in energy of a particle as it travels through a material. This can be caused by interactions with the atoms or molecules in the material.
The stopping power equation is a mathematical formula used to calculate the amount of energy lost by a particle as it travels through a material. It takes into account the particle's initial energy, the density of the material, and the cross-section for energy loss.
Stopping power is typically measured in units of energy per unit distance, such as MeV/cm or keV/μm. This measurement is obtained through experiments using particle accelerators or by simulating the interactions between particles and materials using computer models.
The amount of energy lost by a particle and its stopping power can be influenced by a variety of factors, including the type and energy of the particle, the density and composition of the material it is traveling through, and the distance the particle travels.
Understanding energy loss and stopping power is crucial in many fields of science, such as nuclear physics, medical physics, and materials science. It allows us to accurately predict the behavior of particles and their interactions with different materials, which is essential for developing new technologies and improving existing ones.