3. Attenuation
The intensity reduction of x-ray photons as
they pass through matter
Primary radiation – attenuation = remnant or
exit radiation
Photon attenuation is characterized by
attenuation coefficient μ.
For a narrow mono energetic beam,
attenuation coefficient -μx
is : I(x)=Io e
And hence HVL= 0.693/μ
5. The Five Interactions Of X and
Gamma Rays With Matter
Photoelectric effect
Very important in diagnostic radiology
Compton scatter
Very important in radiotherapy
Coherent scatter
Not important in diagnostic or therapeutic radiology
Pair production
important in diagnostic radiology
Photodisintegration
Neutron contamination of therapy beams
6. Photoelectric Effect
All of the energy of the
incoming photon is totally
transferred to the atom
Following interaction, the
photon ceases to exist
The incoming photon
interacts with an orbital
electron in an inner shell –
usually K
The orbital electron is
dislodged
To dislodge the electron, the
energy of the incoming
photon must be equal to, or
greater than the electron’s
energy
7. Photoelectric Effect
The incoming photon gives up all its energy, and
ceases to exist
The ejected electron is now a photoelectron
This photoelectron energy =
energy of the incoming photon- the binding
energy of the electron shell
This photoelectron can interact with other atoms
until all its energy is spent
These interactions result in increased patient
dose, contributing to biological damage
8. Photoelectric Effect
A vacancy now exists in the inner shell
To fill this gap, an electron from an outer shell
drops down to fill the gap
Once the gap is filled, the electron releases its
energy in the form of a characteristic photon
This process continues, with each electron
emitting characteristic photons, until the atom is
stable
The characteristic photon produces relatively
low energies and is generally absorbed in tissue
9. The Byproducts of the
Photoelectric Effect
Photoelectrons
Characteristic photons
10. The Probability of Occurrence
Depends on the following:
Mass photoelectric coefficient is 2 ª 3
Z/E
It increases as the photon energy decreases, and the
atomic number of the irradiated object increases
When the incident photon’s energy is more or close to
the binding energy of the orbital electron
In water or soft tissue This type of interaction is
prevalent in the diagnostic kVp range – 10-25keV(30-
75kVp)
11. What Does This All Mean?
Bones are more likely to absorb radiation
This is why they appear white on the film
Soft tissue allows more radiation to pass
through than bone
These structures will appear gray on the film
Air-containing structures allow more radiation to
pass through
These structures will appear black on the film
12. Compton Scattering
An incoming photon is
partially absorbed in an
outer shell electron
The electron absorbs
enough energy to break
the binding energy, and is
ejected
The ejected electron is
now a Compton electron
Not much energy is
needed to eject an
electron from an outer
shell
The incoming photon,
continues on a different
path with less energy as
scattered radiation
13. Byproducts Of Compton Scatter
Compton scattered electron
causes projectile damage in the tissue.
Possesses kinetic energy and is capable of ionizing
atoms.
The atom becomes a free radical, causing biological
damage in the tissue
Scattered x-ray photon with lower energy
Continues on its way, but in a different direction
It can interact with other atoms, either by photoelectric
or Compton scattering
It may emerge from the patient as scatter
14. Probability Of Compton Scatter
Occurring
Probability of a Compton interaction is inversely
proportional to energy of the incoming photon.
In water More probable at kVp ranges of 10-150. and
decreases further with increase in energy.
Most dominant interaction in tissues at treatment
energies(30keV-24MeV).
It is independent of atomic number, so at treatment
energies, bone and soft-tissue interfaces are barely
distinguishable (= poor contrast)
At diagnostic x-ray energies, Compton Scattering
direction is fairly random; at treatment x-ray energies, it
is forward-peaked
15. Coherent Scatter
Only significant at lowest diagnostic x-ray energies
(<5% interactions)
Incoming photon is deflected (absorbed and
immediately re-emitted), with minimal direction and
energy change
May result in radiographic film fog
16. Pair Production
Occurs only at high photon energies
(>1.02 MeV) and preferentially in high-
Z tissues
Incoming photon (energy) is converted
to mass (electron and positron) in the
vicinity of atomic nucleus via E=mc2
17. Pair Production
An incoming photon of
1.02 MeV or greater
interacts with the
nucleus of an atom
The incoming photon
disappears
The transformation of
energy results in the
formation of two
particles
Negatron
Possesses negative
charge
Positron
Possesses a positive
charge
18. Positrons
Will interact with the first electron they encounter
An electron and the positron destroy each other
during interaction
Known as the annihilation reaction
This converts matter back into energy
Both the positron and electron disappear
Two gamma photons are released with an energy
of .51 MeV and travel at an angle of 180º. A
simultaneous detection of gamma ray photons in
two detectors places the source on a line
between those detectors (PET SCAN: where
radioisotopes used for positron emission).
19. Pair Production
Electron causes projectile damage in the
tissue
Significant pair production can be seen in
blocking of the oncoming beam, since
blocks are high-Z materials (for lead, this is
the main effect at energies >5 MeV)
20. Table 5.2 Relative Importance of Photoelectric (τ),
Compton (σ), and Pair Production (Π) Processes in Water
Photon Energy (MeV)
Relative Number of Interactions (%)
τ σ Π
0.01 95 5 0
0.026 50 50 0
0.060 7 93 0
0.150 0 100 0
4.00 0 94 6
10.00 0 77 23
24.00 0 50 50
100.00 0 16 84
Data from Johns HE, Cunningham JR. The Phy s ic s o f Ra d io lo g y . 3rd ed. Springfield, IL: Charles
C Thomas; 1969.
21. Photodisintegration
Occurs at above 10 MeV
A high energy photon is
absorbed by the nucleus
The nucleus becomes
excited and becomes
radioactive
To become stable, the
nucleus emits negatrons,
protons, alpha particles,
clusters of fragments, or
gamma rays
Source of low-level
neutron production
22. Interactions Of Particulate
Radiation With Matter
Electrons, protons, neutrons, alpha particles,
beta paticles are examples of particle
radiation.
Charged particle interaction or collisions
mediated by coulomb force between the
electric field of travelling particle and electric
fields of orbital electrons and nuclei of atoms
of the material.
They interact primarily by ionization or
excitation.
All particles exhibit Bragg peak near end
except electrons due to excessive scattering.
23. Electrons
Two fundamental interactions:
Radiation (Bremsstrahlung) - bending of electrons
around nucleus => shedding of energy as EM x-rays
Ionization (Characteristic X-rays) - impact with
orbital electron => electron release => vacancy fill
=> shedding of energy as Characteristic x-rays
24. Protons
Incoming protons also lose energy mainly by interacting with
orbital electrons; however, since they are much heavier
(~1800x), they only lose very small fraction of their kinetic
energy with each interaction, and thus scatter only minimally
The interactions (and thus energy loss) become more
frequent at slower energies. Thus the slower the proton
moves, the more energy it loses to the tissue electrons, in a
feed-forward loop, until it abruptly loses all energy. This
region of rapid energy loss (and its deposition into the tissue)
is called the Bragg peak.
The distance at which Bragg peak occurs, and the energy is
deposited, can be calculated very precisely (unlike electrons).
The rapid drop-off in dose make it ideal for delivering dose
precisely to the tumor, and not to the healty tissue beyond the
tumor.
Incoming protons also rarely interact with the nucleus, and
may enhance cell kill by ~10%
25. Neutrons
Interact by ejecting recoil protons from
hydrogen and recoiling heavy nuclei from
other elements or by producing nuclear
disintegrations.
Lead is an efficient absorber of x-rays but not
of neutrons.
The most efficient absorber of neutrons is a
hydrogenous material such as water, paraffin
wax, and polyethylene.
26. Heavy ions
Stopping power of ionization interactions is
proportional to square of particle charge and
inversly to square of its velocity
They interact with tissue similarly to protons,
but since they are heavier still, they scatter
less initially, and have a faster dose fall-off
(Bragg peak) at the end.