
Scattering in which the total kinetic energy of the particles is conserved.Elastic scattering is a collision process in which the total kinetic energy of the interacting particles is conserved — the particles may change direction, but they do not lose energy to internal excitation or radiation. This is in contrast to inelastic scattering, where some kinetic energy is converted into other forms. Elastic scattering is fundamental to understanding how particles interact, from billiard-ball-like collisions of atoms to the deflection of electrons by nuclei.
The concept was formalized in the early 20th century with the development of scattering theory in quantum mechanics, notably by Ernest Rutherford's experiments on alpha particles scattering off gold nuclei, which were elastic and revealed the atomic nucleus.
During elastic scattering, the particles exchange momentum and energy, but the sum of their kinetic energies before and after the collision remains the same. The interaction is governed by the forces between the particles, described by a cross-section that quantifies the probability of scattering at a given angle. In quantum mechanics, elastic scattering is described by a scattering amplitude, which can reveal details about the potential energy between the particles.
It is used in neutron scattering to probe the structure of materials, in electron microscopy, and in medical imaging techniques like X-ray scattering.
In a perfectly elastic collision between two identical particles, they simply exchange velocities — a fact used to explain the behavior of ideal gases and the cooling of ultracold atomic clouds.











