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3/15/2020
1
Interaction of Ionizing Radiation
with Matter
Dr. Amal Yousif Al-Yasiri
University of Baghdad- College of Dentistry
Types of ionizing radiation
• 1- Photons include (γ-rays and X-Rays)
• 2- Charged particles include ( α -particles, β -
particles, electrons, positrons and protons
• 3- Neutral particles include neutrons
3/15/2020
2
Interaction of photons
• Photons such as gamma-rays and X-rays are part
of electromagnetic radiation. They are considered
ionizing radiation due to their ability to ionize the
material interact with ( i.e. make ion pairs)
• However other photons such as visible light,
infrared, microwaves, and radio-waves are part of
electromagnetic radiation but they do not have
the ability to ionize the material interact with (i.e.
they do not have the ability to make ion pairs)
• In this lecture, Photons word represents Gamma
rays and X-rays
3/15/2020
3
Interaction of photons
• If a photon enters a thin layer of matter, it is
possible that it will penetrate through without
interaction, or it may interact and transfer
energy to the matter in several ways:
– Coherent scattering
– Photoelectric effect
– Compton effect
– Pair production
Coherent scattering
• If the photon energy is low enough, in this
case, the incident photon’s electrical field
accelerates one or more orbital electrons and
causes them to radiate.
• There are two types of coherent scattering:
1-Thomson scattering, in which a single orbital
electron is involved
2- Rayleigh scattering, in which the orbital
electrons act as a single group
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4
Coherent scattering
• Probability of coherent scattering increases
with Z and decreases with photon energy (<
10 keV)
Photoelectric absorption
• In photoelectric absorption, the total energy of the photon
is transferred to an orbital electron, usually close to the
nucleus, and the photon disappears.
• The electron is then ejected from the atom with an energy
equal to the energy of the photon minus the binding
energy of the electron (hυ-Eb).
• The incoming photon must have an energy > Eb
• This interaction dominates for low photon energies,
absorbing media with high Z, e.g., lead is an excellent
absorber of low energy photons
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5
Photoelectric absorption
• After ejection of the electron, the neutral atom
becomes a positively charged ion with a vacancy
in an inner shell that must be filled.
• Atom returns to a stable condition by filling the
vacancy with a nearby, less tightly bound electron
farther out from the nucleus, and characteristic
X-rays radiation or Auger electrons are emitted.
• Auger electrons are not ejected by characteristic
x-rays! They are simply the result of an atom
attempting to reach a lower energy state.
Photoelectric absorption
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6
Compton effect
• The Compton effect is the interaction of a photon with
a loosely bound orbital electron in which part of the
incident photon's energy is transferred as kinetic
energy to the electron and the remaining energy is
carried away by the photon.
• The energy of the incident photon (Eo) is equal to the
sum of the the energy of the scattered photon (Ese)
and the kinetic energy of the ejected electron (Ee-)
• The binding energy of the electron that was ejected is
very small and can be ignored.
• The probability of interaction is independent of Z
explicitly but depends on Avagadro’s number(Z/A)
Compton effect
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7
Pair production
• The incident photon interacts with a nucleus and the photon is
completely converted into an electron and positron.
• Pair production is only possible for photons above 1.022 MeV.
• Total kinetic energy of final particles is Ephoton - 1.022 MeV.
• Created positron interacts with a nearby electron, converting both
particles to two 0.511 MeV annihilation photons.
• Pair production becomes more likely with increasing atomic
number and increasing photon energy.
Pair production
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8
15
Charged particles
• Electron - elementary subatomic particle carrying negative
charge
• Positron - antiparticle of the electron, carrying positive charge
• Alpha particle - two protons and two neutrons, identical to a
helium nucleus, carrying two positive charges.
• Proton - subatomic particle carrying a positive charge, identical
to hydrogen nucleus.
• Heavy charged particle - atomic ions, nuclei stripped of their
electrons. (Heavy refers to their mass relative to the electron).
16
Some differences between charged particles
and photons
• An individual photon may pass through a slab of matter with no interactions at all,
or it lose its energy in one or a few “catastrophic” events.
• But for charged particles:
1-The probability of a charged particle passing through a layer of mater without
any interaction is zero.
2- 1 MeV electron would typically undergo >105 interactions before losing all of its
kinetic energy.
• Charged particles (e-, e+, p+, α+2) lose their energy very differently from uncharged
particles.
• A charged particle loses its kinetic energy gradually in a friction-like process, known
as the “continuous slowing down approximation” (CSDA).
3/15/2020
9
17
Charged particle tracks
18
Electron-electron scattering
• When kinetic energy is conserved in an
interaction, the interaction is said to be elastic.
• If Eb cannot be ignored, kinetic energy is not
conserved, and the interaction is said to
inelastic.
• Two types of electron interactions
1- Soft collisions
2-Hard collisions
3/15/2020
10
19
Soft collisions
• The type of electron interaction
depends largely on the distance
(termed, impact distance, b)
between the electron and an atom
relative to the atomic radius (a).
• When b>>a, soft collisions occur in
which the influence of the particle's
coulomb force field affects the atom
as a whole.
• The net effect is the transfer of a
very small amount of energy (a few
eV) to an atom of the absorbing
medium.
b
a
e-
20
Hard collisions
• When b ~ a, it becomes more
likely that a hard collision will
occur in which the incident
particle will interact primarily
with a single atomic electron,
ejecting it from the atom
(ionization) with considerable
kinetic energy
The ejected electron is called a
delta () ray.
• When b<<a Coulombic forces
between the electron and
nuclear lead to scattering of the
electron without much loss of
energy.
ba
e-
3/15/2020
11
21
Delta rays
• Delta ray is a secondary electron
with high enough energy that it
creates ionization tracks of its
own.
• Sometimes their energies are so
high that an individual delta ray
creates its own delta rays.
Delta ray of a
Delta ray
22
Stopping power
• Electrons and charged particles gradually lose energy to matter through thousands or
millions of collisions (depending on energy).
• A particle’s stopping power in a medium is the average rate of energy loss of per unit
pathlength (MeV/cm), and is represented by
where the minus sign refers to the fact that from the particle’s perspective, energy is
lost per unit distance traveled. Thus, including a minus sign makes S(E) positive.
3/15/2020
12
23
Linear energy transfer
• The linear energy transfer (LET) is the average rate of energy
transferred to a material by a charged particle passing
through.
• LET is similar to stopping power, but from the material’s
perspective.
• LET and stopping power are very important concepts for
radiation dosimetry and radiobiology.
• They form the physical basis for radiation therapy from a
biological perspective.
• They are also the keys to our ability to measure radiation
24
Radiative energy loss
• An electron traveling through a medium may be scattered at
reduced energy during interaction with a nucleus in the
medium.
• This “radiative” energy loss appears as electromagnetic
radiation (bremsstrahlung photons) during the interaction.
• The probability of bremsstrahlung production varies with Z2 of
the medium.
– High Z media are much more effective in producing
bremsstrahlung.
– The amount of bremsstrahlung produced increases dramatically
with the Z of the medium, but the relative shape of the spectrum
remains constant.
3/15/2020
13
25
Radiative energy loss
• A bremsstrahlung photon may possess an
energy up to the entire kinetic energy of the
incident electron.
Electron beam characteristics
• Continuous slowing due to very
many interactions leads to a
predictable stopping depth.
• The electron beam practical
range (Rp) is approximately
Rp =E/2
where E is the beam energy in
MeV
• At depths beyond Rp, a small
level of energy deposition is
due to brehmssralung
3/15/2020
14
27
Protons
• Protons are ~ 2000 times more massive than electrons.
• Stopping power caused by ionization interactions is proportional to
square of particle charge and inversely proportional to square of
velocity
• Thus, as particle slows down, its rate of energy loss also increases 
more ionization
• Dose in water increases at first very slowly with depth, and then
increases very sharply near end of particle’s range, and this gives rise
to the Bragg Peak
• Bragg Peak: Concentrated energy deposition within a very narrow
region at the end of the particle’s range.
28
Protons
3/15/2020
15
Neutron interactions
• Neutron is an uncharged particle, it's mass close to that of
proton
• Neutrons are stable inside a nucleus. This structural
stability is lost when neutrons are in a free, independent
state.
• As the neutron is a little heavier than the proton, Einstein’s
famous mass-energy relation equates this extra mass with
an extra energy. This energy is just enough for the neutron
to transform into a proton by emitting an electron and an
antineutrino
• This transformation can also take place within a nucleus
when there are too many neutrons present: the resulting
electron emission is what is referred to as beta decay.
Neutron interactions
• Neutron interactions depends on energies:
from > 100 MeV to < 1 eV
• Neutrons are uncharged particles:
• ⇒ No interaction with atomic electrons of the
material
• ⇒ interaction with the nuclei of these atoms
3/15/2020
16
Neutron interactions
• Neutron interactions
1. Scattering
(n,n) Elastic scattering
(n,n’) Inelastic scattering
2. Absorption
3. Fission
Elastic scattering
• Elastic Scattering (mostly for En < 10 MeV)
• billiard ball type of collision;
• The neutron collides with a nucleus and scatters in a
different direction
• The energy the neutron loses is gained by the target
nucleus which moves away at an increased speed.
• If the target nucleus is massive, neutron scatters with the
same speed or little energy loss:
• If the target nucleus is light, neutron loses much energy ⇒
very effective slowing down process
• Elastic scattering is not effective in slowing down neutrons
with very high energy (above 150 MeV)
3/15/2020
17
Elastic scattering
Inelastic Scattering
• Inelastic Scattering (mostly for En ≥ 10 MeV,
heavy material)
• The neutron strikes a nucleus and form a
compound nucleus
• The nucleus is unstable: emission of n and γ
•
3/15/2020
18
Inelastic Scattering
Absorption
• In absorption reaction: The neutron is captured by a nucleus,
then this compound unstable nucleus emits a particle or
gamma rays to reach the stable state
• When the compound nucleus emits only a gamma photon, in
this case, the reaction is called Radiative Capture, This
reaction is the most important one for neutrons with very low
energy
• (n,γ) Radiative Capture
• (n,e) Absorption
• (n,α) Absorption
• (n, P) Absorption

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Interaction of Ionizing Radiation with Matter

  • 1. 3/15/2020 1 Interaction of Ionizing Radiation with Matter Dr. Amal Yousif Al-Yasiri University of Baghdad- College of Dentistry Types of ionizing radiation • 1- Photons include (γ-rays and X-Rays) • 2- Charged particles include ( α -particles, β - particles, electrons, positrons and protons • 3- Neutral particles include neutrons
  • 2. 3/15/2020 2 Interaction of photons • Photons such as gamma-rays and X-rays are part of electromagnetic radiation. They are considered ionizing radiation due to their ability to ionize the material interact with ( i.e. make ion pairs) • However other photons such as visible light, infrared, microwaves, and radio-waves are part of electromagnetic radiation but they do not have the ability to ionize the material interact with (i.e. they do not have the ability to make ion pairs) • In this lecture, Photons word represents Gamma rays and X-rays
  • 3. 3/15/2020 3 Interaction of photons • If a photon enters a thin layer of matter, it is possible that it will penetrate through without interaction, or it may interact and transfer energy to the matter in several ways: – Coherent scattering – Photoelectric effect – Compton effect – Pair production Coherent scattering • If the photon energy is low enough, in this case, the incident photon’s electrical field accelerates one or more orbital electrons and causes them to radiate. • There are two types of coherent scattering: 1-Thomson scattering, in which a single orbital electron is involved 2- Rayleigh scattering, in which the orbital electrons act as a single group
  • 4. 3/15/2020 4 Coherent scattering • Probability of coherent scattering increases with Z and decreases with photon energy (< 10 keV) Photoelectric absorption • In photoelectric absorption, the total energy of the photon is transferred to an orbital electron, usually close to the nucleus, and the photon disappears. • The electron is then ejected from the atom with an energy equal to the energy of the photon minus the binding energy of the electron (hυ-Eb). • The incoming photon must have an energy > Eb • This interaction dominates for low photon energies, absorbing media with high Z, e.g., lead is an excellent absorber of low energy photons
  • 5. 3/15/2020 5 Photoelectric absorption • After ejection of the electron, the neutral atom becomes a positively charged ion with a vacancy in an inner shell that must be filled. • Atom returns to a stable condition by filling the vacancy with a nearby, less tightly bound electron farther out from the nucleus, and characteristic X-rays radiation or Auger electrons are emitted. • Auger electrons are not ejected by characteristic x-rays! They are simply the result of an atom attempting to reach a lower energy state. Photoelectric absorption
  • 6. 3/15/2020 6 Compton effect • The Compton effect is the interaction of a photon with a loosely bound orbital electron in which part of the incident photon's energy is transferred as kinetic energy to the electron and the remaining energy is carried away by the photon. • The energy of the incident photon (Eo) is equal to the sum of the the energy of the scattered photon (Ese) and the kinetic energy of the ejected electron (Ee-) • The binding energy of the electron that was ejected is very small and can be ignored. • The probability of interaction is independent of Z explicitly but depends on Avagadro’s number(Z/A) Compton effect
  • 7. 3/15/2020 7 Pair production • The incident photon interacts with a nucleus and the photon is completely converted into an electron and positron. • Pair production is only possible for photons above 1.022 MeV. • Total kinetic energy of final particles is Ephoton - 1.022 MeV. • Created positron interacts with a nearby electron, converting both particles to two 0.511 MeV annihilation photons. • Pair production becomes more likely with increasing atomic number and increasing photon energy. Pair production
  • 8. 3/15/2020 8 15 Charged particles • Electron - elementary subatomic particle carrying negative charge • Positron - antiparticle of the electron, carrying positive charge • Alpha particle - two protons and two neutrons, identical to a helium nucleus, carrying two positive charges. • Proton - subatomic particle carrying a positive charge, identical to hydrogen nucleus. • Heavy charged particle - atomic ions, nuclei stripped of their electrons. (Heavy refers to their mass relative to the electron). 16 Some differences between charged particles and photons • An individual photon may pass through a slab of matter with no interactions at all, or it lose its energy in one or a few “catastrophic” events. • But for charged particles: 1-The probability of a charged particle passing through a layer of mater without any interaction is zero. 2- 1 MeV electron would typically undergo >105 interactions before losing all of its kinetic energy. • Charged particles (e-, e+, p+, α+2) lose their energy very differently from uncharged particles. • A charged particle loses its kinetic energy gradually in a friction-like process, known as the “continuous slowing down approximation” (CSDA).
  • 9. 3/15/2020 9 17 Charged particle tracks 18 Electron-electron scattering • When kinetic energy is conserved in an interaction, the interaction is said to be elastic. • If Eb cannot be ignored, kinetic energy is not conserved, and the interaction is said to inelastic. • Two types of electron interactions 1- Soft collisions 2-Hard collisions
  • 10. 3/15/2020 10 19 Soft collisions • The type of electron interaction depends largely on the distance (termed, impact distance, b) between the electron and an atom relative to the atomic radius (a). • When b>>a, soft collisions occur in which the influence of the particle's coulomb force field affects the atom as a whole. • The net effect is the transfer of a very small amount of energy (a few eV) to an atom of the absorbing medium. b a e- 20 Hard collisions • When b ~ a, it becomes more likely that a hard collision will occur in which the incident particle will interact primarily with a single atomic electron, ejecting it from the atom (ionization) with considerable kinetic energy The ejected electron is called a delta () ray. • When b<<a Coulombic forces between the electron and nuclear lead to scattering of the electron without much loss of energy. ba e-
  • 11. 3/15/2020 11 21 Delta rays • Delta ray is a secondary electron with high enough energy that it creates ionization tracks of its own. • Sometimes their energies are so high that an individual delta ray creates its own delta rays. Delta ray of a Delta ray 22 Stopping power • Electrons and charged particles gradually lose energy to matter through thousands or millions of collisions (depending on energy). • A particle’s stopping power in a medium is the average rate of energy loss of per unit pathlength (MeV/cm), and is represented by where the minus sign refers to the fact that from the particle’s perspective, energy is lost per unit distance traveled. Thus, including a minus sign makes S(E) positive.
  • 12. 3/15/2020 12 23 Linear energy transfer • The linear energy transfer (LET) is the average rate of energy transferred to a material by a charged particle passing through. • LET is similar to stopping power, but from the material’s perspective. • LET and stopping power are very important concepts for radiation dosimetry and radiobiology. • They form the physical basis for radiation therapy from a biological perspective. • They are also the keys to our ability to measure radiation 24 Radiative energy loss • An electron traveling through a medium may be scattered at reduced energy during interaction with a nucleus in the medium. • This “radiative” energy loss appears as electromagnetic radiation (bremsstrahlung photons) during the interaction. • The probability of bremsstrahlung production varies with Z2 of the medium. – High Z media are much more effective in producing bremsstrahlung. – The amount of bremsstrahlung produced increases dramatically with the Z of the medium, but the relative shape of the spectrum remains constant.
  • 13. 3/15/2020 13 25 Radiative energy loss • A bremsstrahlung photon may possess an energy up to the entire kinetic energy of the incident electron. Electron beam characteristics • Continuous slowing due to very many interactions leads to a predictable stopping depth. • The electron beam practical range (Rp) is approximately Rp =E/2 where E is the beam energy in MeV • At depths beyond Rp, a small level of energy deposition is due to brehmssralung
  • 14. 3/15/2020 14 27 Protons • Protons are ~ 2000 times more massive than electrons. • Stopping power caused by ionization interactions is proportional to square of particle charge and inversely proportional to square of velocity • Thus, as particle slows down, its rate of energy loss also increases  more ionization • Dose in water increases at first very slowly with depth, and then increases very sharply near end of particle’s range, and this gives rise to the Bragg Peak • Bragg Peak: Concentrated energy deposition within a very narrow region at the end of the particle’s range. 28 Protons
  • 15. 3/15/2020 15 Neutron interactions • Neutron is an uncharged particle, it's mass close to that of proton • Neutrons are stable inside a nucleus. This structural stability is lost when neutrons are in a free, independent state. • As the neutron is a little heavier than the proton, Einstein’s famous mass-energy relation equates this extra mass with an extra energy. This energy is just enough for the neutron to transform into a proton by emitting an electron and an antineutrino • This transformation can also take place within a nucleus when there are too many neutrons present: the resulting electron emission is what is referred to as beta decay. Neutron interactions • Neutron interactions depends on energies: from > 100 MeV to < 1 eV • Neutrons are uncharged particles: • ⇒ No interaction with atomic electrons of the material • ⇒ interaction with the nuclei of these atoms
  • 16. 3/15/2020 16 Neutron interactions • Neutron interactions 1. Scattering (n,n) Elastic scattering (n,n’) Inelastic scattering 2. Absorption 3. Fission Elastic scattering • Elastic Scattering (mostly for En < 10 MeV) • billiard ball type of collision; • The neutron collides with a nucleus and scatters in a different direction • The energy the neutron loses is gained by the target nucleus which moves away at an increased speed. • If the target nucleus is massive, neutron scatters with the same speed or little energy loss: • If the target nucleus is light, neutron loses much energy ⇒ very effective slowing down process • Elastic scattering is not effective in slowing down neutrons with very high energy (above 150 MeV)
  • 17. 3/15/2020 17 Elastic scattering Inelastic Scattering • Inelastic Scattering (mostly for En ≥ 10 MeV, heavy material) • The neutron strikes a nucleus and form a compound nucleus • The nucleus is unstable: emission of n and γ •
  • 18. 3/15/2020 18 Inelastic Scattering Absorption • In absorption reaction: The neutron is captured by a nucleus, then this compound unstable nucleus emits a particle or gamma rays to reach the stable state • When the compound nucleus emits only a gamma photon, in this case, the reaction is called Radiative Capture, This reaction is the most important one for neutrons with very low energy • (n,γ) Radiative Capture • (n,e) Absorption • (n,α) Absorption • (n, P) Absorption