Scattering: Collisions in 2D and 3D

Claimed by: Andreas Ward (Fall 2015) and Sam Webster (Spring 2016)

The Main Idea

Unlike normal collisions, atomic and nuclear collisions are far too small to observe the curving trajectories of the interacting particles. The only thing that can be noticed is the initial and final states of the interaction. Scattering experiments are incorporated in the world of collisions to be able to study the minute details (structure) of atoms, nuclei, and other tiny particles as the interact with one another.

Impact Parameters

Definition: distance between centers perpendicular to the incoming velocity. Impact parameters is often denoted by b. A head-on collision has an impact parameter of zero and with equal masses fully transfers the momentum such as with Newton's Cradle. As the impact parameter gets smaller the collision has a larger effect, and an even large deflection angle (scattering).

Elastic collisions between two billiard balls (Double Click Image)

Examples

Simple

The collision of an alpha particle (helium nucleus) with the nucleus of a gold atom

Simulation in Python

Coming Soon

History

In 1871 Lord Rayleigh published a paper on scattering. Rayleigh scattering is the dispersion of electromagnetic radiation by particles that have a minute radius less than approximately 1/10 the wavelength. It laid the foundation to research on scattering and information we have today.

See also

[[Category:Collisions] (Main page)

Further reading

Matter and Interactions, Volume I: Modern Mechanics, 4th Edition. (Chapter 10.6)

External links

[1] [2] [3]

References

Chabay, Ruth W., Bruce Sherwood. Matter and Interactions, Volume I: Modern Mechanics, 4th Edition. Wiley, 19/2014.