- Range (particle radiation)
In passing through matter,

charged particle s ionize and thus loseenergy in many steps, until their energy is (almost) zero. The distance to this point is called the**range**of the particle. The range depends on the type of particle, on its initial energy and on the material which it passes.For example, if the ionising particle passing through the material is a positive

ion likealpha particle orproton , it will collide with atomic electrons in the material via Coulombic interaction. Since the mass of theproton oralpha particle is much greater than that of theelectron , there will be no significant deviation from the radiation's incident path and very littlekinetic energy will be lost in each collision. As such, it will take many successive collisions for such heavy ionising radiation to come to a halt within the stopping medium or material. Maximum energy loss will take place in a head on collision with anelectron .Since large angle scattering is rare for positive ions, a range may be well defined for that

radiation , depending on itsenergy andcharge , as well as theionisation energy of the stopping medium. Since the nature of such interactions is statistical, the number of collisions required to bring a radiation particle to rest within the medium will vary slightly with each particle, i.e. some may travel further and undergo less collisions than others. Hence, there will be a small variation in the range, known as**straggling**.The energy loss per unit distance (and hence, the density of ionization), or stopping power also depends on the type and energy of the particle and on the material. Usually, the energy loss per unit distance increases while the particle slows down. The curve describing this fact is called the Bragg curve. Shortly before the end, the energy loss passes through a maximum, the

Bragg Peak , and then drops to zero (see the figures inBragg Peak and in stopping power). This fact is of great practical importance forradiation therapy .The range of

alpha particles in ambient air amounts to several centimeters, this type of radiation can therefore be stopped already by a sheet of paper. Although beta particles scatter much more than alpha particles, a range can still be defined; it, frequently amounts to several hundred centimeters of air.The mean range can be calculated by integrating the inverse stopping power over energy.

**See also***

Stopping power

*Attenuation length

*Radiation length

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