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8.3.1 Charged Particle Interactions

8.3.1.1 Ionization

What Ionization Means

Ionization is the process in which a charged particle passing through matter removes one or more electrons from atoms or molecules. After this happens, the atom or molecule is no longer electrically neutral. It becomes an ion, and the removed electron may also move through the material and cause further effects.

In radiation physics, ionization is one of the most important ways that charged particles interact with matter. When a moving charged particle enters a material, it exerts electric forces on the electrons of the atoms in that material. If enough energy is transferred during an encounter, an electron can be knocked free.

Ionization occurs when a passing particle transfers enough energy to an atom or molecule to remove an electron from it.

Why Charged Particles Cause Ionization

Charged particles, such as protons, alpha particles, and electrons, interact with matter mainly through the Coulomb force. Because electrons in atoms are much lighter than nuclei, they are much easier to disturb. As a charged particle moves nearby, its electric field pulls or pushes atomic electrons. Some interactions only raise the electron to a higher energy state, while stronger interactions remove it completely.

Ionization is therefore different from simple excitation. In excitation, the electron remains bound to the atom. In ionization, the electron leaves the atom.

Basic Picture of the Process

Imagine a fast positively charged particle moving through a material. As it passes near atoms, it attracts their electrons. If one of these electrons gains enough energy, it escapes from the atom. The result is an ion pair, meaning a free electron and a positively charged ion left behind.

If the incoming particle is negatively charged, such as an electron, it can also ionize atoms. In that case, the mechanism still involves electric interaction with atomic electrons, although the detailed motion can be more complex because the incoming particle and the target electron have the same mass.

Ionization by a passing charged particle

Ion Pairs

A useful way to describe ionization is through ion pair production. Each successful ionization event creates:

\[
\text{neutral atom} \rightarrow \text{positive ion} + \text{free electron}
\]

In many materials, the free electron may later slow down and attach to another atom, or it may itself cause more ionization. In gases, the collection of these charges is especially important because it forms the basis of many radiation detectors.

Energy Requirement for Ionization

Every atom or molecule has a certain ionization energy, which is the minimum energy needed to remove an electron. If the transferred energy is less than this amount, true ionization cannot occur. The electron may only be excited instead.

The ionization energy depends on the material. Loosely bound outer electrons are easier to remove than tightly bound inner electrons. Because real materials contain many atoms and molecules with different electronic structures, the detailed ionization behavior can vary from one substance to another.

For ionization to occur, the transferred energy must be at least as large as the binding energy of the electron.

Primary and Secondary Ionization

The first ionization caused directly by the incoming radiation particle is called primary ionization. The ejected electron may still have enough kinetic energy to ionize other atoms. Those later events are called secondary ionization.

These secondary electrons are often called delta rays when they are energetic enough to travel a noticeable distance and create further tracks of ionization.

Ionization Along a Particle Track

A charged particle usually does not ionize just once. As it travels through matter, it undergoes many interactions. The result is a trail of ionized atoms and free electrons along its path. This trail is often called the particle track.

The density of ionization along the track depends on the particle type, its charge, and its speed. A particle with larger charge generally produces stronger electric interactions and therefore more ionization per unit length.

Dependence on Charge and Speed

Ionization becomes stronger when the incoming particle has a larger electric charge magnitude. For example, an alpha particle with charge $+2e$ generally causes much denser ionization than a proton with charge $+e$, if their speeds are comparable.

The speed of the particle also matters greatly. A slower charged particle spends more time near each atom, so it can transfer energy more effectively. As a result, ionization tends to increase as a heavy charged particle slows down.

This is related to the energy loss rate often written as

\[
-\frac{dE}{dx}
\]

which means the energy lost by the particle per unit distance traveled. Ionization is a major contributor to this energy loss for many charged particles.

In general, greater particle charge leads to stronger ionization, and slower heavy charged particles often produce denser ionization.

Ionization and Different Materials

Ionization can occur in gases, liquids, and solids, but the observable effects differ.

In gases, the ions and electrons can often move relatively freely. This makes ionization easy to detect electrically.

In liquids and solids, the charges may recombine quickly or remain localized. Even so, ionization still deposits energy in the medium and can lead to chemical, thermal, or structural changes.

The number of ion pairs produced depends on the material and on how much energy the incident particle loses there.

Ionization Versus Excitation

Ionization and excitation are closely related, but they are not the same. Both involve energy transfer from the incoming particle to the material.

ProcessWhat happens to electronResult
ExcitationElectron moves to higher bound stateAtom remains neutral
IonizationElectron is removed from atomIon and free electron are created

In practice, a charged particle usually causes both processes as it passes through matter.

Average Energy per Ion Pair

Although the minimum ionization energy sets the threshold, the average energy needed to produce one ion pair is usually larger than that threshold. This happens because part of the transferred energy may go into excitation or other processes, not just direct electron removal.

If a particle deposits energy $E$ in a material, the approximate number of ion pairs $N$ can be estimated by

\[
N \approx \frac{E}{W}
\]

where $W$ is the average energy required to create one ion pair in that material.

The number of ion pairs is approximately
$$
N \approx \frac{E}{W}
$$
where $W$ is the average energy required per ion pair.

Importance of Ionization

Ionization is central to radiation detection, dosimetry, and radiation damage. When radiation passes through biological tissue, ionization can alter molecules and break chemical bonds. When it passes through a detector gas or semiconductor, ionization creates measurable charge signals.

So even though ionization is a microscopic process involving individual atoms and electrons, its effects are visible on macroscopic scales.

A Simple Summary

Ionization is the removal of electrons from atoms or molecules by passing charged particles. It happens because electric forces transfer energy to atomic electrons. Each event creates ions and free electrons, often called ion pairs. Repeated ionization along the path of the particle forms a track, and the amount of ionization depends strongly on the particle charge, speed, and the material it crosses.

Key idea: ionization is one of the main ways charged particles lose energy in matter, and it creates the charged pairs that allow radiation to be detected.

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8.3.1 Charged Particle Interactions

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