Overall Flashcards
Which type of waves have the longest wavelength and therefore lowest frequency?
Radio
What is the wavelength range of visible light?
700-400nm
What is 1 atomic mass unit in kg and MeV?
1.66 x10^-27 kg and 931MeV
What is 1eV in Joules?
1.6 x10^-19
What are the innermost 3 electron shells called?
K, L, M
What is the electron binding energy also called?
Ionisation energy
What is the Auger effect?
A vacancy in the inner shells (K or L) is filled by a higher energy level electron (M), which releases energy that is absorbed by an electron in a high energy level, which then gets ionised (second ejected electron is an Auger electron)
What are characteristic x-rays?
Outer-shell electrons fill a vacancy in the inner shell of an atom (which has been made from a previous ionisation), releasing X-rays in a pattern that is “characteristic” to each element
What forces work on nucleons in the nucleus?
Coulomb and strong nuclear forces
How much larger is the binding energy for a nucleon than for an electron?
1000 times
What are isotopes, isotones and isobars?
Isotopes - same no. of protons. Isotones - same no. of neutrons. Isobars - same atomic mass
1 barn is equal to what area size?
10^-28 m^2 (= 10^24 cm^2)
What does the units of barn represent?
They are a measure of reaction probability (cross sections) and it can be thought of as the size of the object that the excitation must hit in order for the process to occur
What is systematic and random error in treatment verification?
The both refer to positioning errors, where systematic is in a consistent magnitude and direction, whereas random is in varied magnitudes and directions (averaged out with large sample)
What is brachytherapy?
Using radioactive sealed sources at a short distance to treat tumours
What are the three methods of brachytherapy?
Surface moulds, interstitial (needles), intracavitary
What are the advantages of brachytherapy?
Very localised so minimises damage to surrounding tissues, short treatment times, very effective
What are the magnitude of the dimensions of a nucleus and an atom?
Atom = few 10^-10 m (angstroms)
Nucleus = few 10^-15 m (femtometres)
What principle means that only a given number of electrons can exist in the same subshell?
Pauli exclusion principle
What is the de Broglie wavelength?
Planck’s constant divided by momentum. It is the wavelength associated with a particle to consider its wave-like behaviour. Only waves with an integral number of de Broglie wavelengths around an orbit (eg electron) are allowed
What is the nuclear radius equation?
r_0 multiplied by the cube root of the mass number
Is nuclear matter density constant?
Yes
Is the nuclear mass more or less than the sum of the masses of the constituent neutrons and protons?
Less than
The nuclear binding energy is the energy released when the nucleons fuse into a nucleus and is also the energy for what?
the energy needed to separate the nucleus into its constituent parts
What is the Q value?
The energy change in any transformation process eg nuclear reaction
At what range is the nuclear force attractive and repulsive?
Attractive for distances within a few femtometres. Repulsive for distances below 1 femtometre
Is the nuclear force charge independent?
Yes
What is the decay law and its associated equation?
The rate at which nuclei decay is proportional to the number of nuclei N. Differential of N wrt to time equals minus the decay constant times N
The number of nuclei at a given time is equal to what (equation)? (same equation for activity instead of number of nuclei)
The initial number of nuclei multiplied by e to the power of minus the decay constant times time
What is the equation for activity, including the decay constant and number of nuclei?
Decay constant multiplied by number of nuclei
What is the mean lifetime equation for radioactivity?
tau = 1 over the decay constant
What is the half life equation for radioactivity?
ln 2 divided by the decay constant
Is the decay constant a characteristic of a nuclei or dependent on external factors?
Characteristic of a nuclei
What is one Becquerel?
Activity of one decay per second (the unit of radioactivity)
If you mix two or more radioactive species together, how can you work out the overall activity?
Add them
For decay chains, the differential of the number of nuclei wrt is equal to what?
The rate of decay (negative value) plus the rate of formation from the parent nuclei (positive value and uses the decay constant of the parent)
When does radioactive equilibrium occur?
When the products of a nuclear reaction decay at the rate they are produced (R = reaction rate), which happens when the time is a lot longer than the product’s half life (R = A)
What is the saturation factor in radioactivity with nuclear reactions?
1 minus e to the power of minus the decay constant times time [1 - e^(-lambda x t)]
What is the absorbed dose (D) and its units?
Energy absorbed per unit mass of material, units = gray = J/kg
What is the equivalent dose (H) and its units?
Absorbed dose multiplied by a radiation weighting factor. Units = Sieverts = J/kg
What is the effective dose (E) and its units?
The sum of equivalent doses multiplied by tissue weighting factors. Units = Sievert = J/kg
When do decay chains stop?
A stable isotope of lead is reached
What type of decay do many of the heavier nuclei in the chain decay by?
Alpha emission
When does gamma decay occur?
A nucleus is in an excited state and has too much energy to be stable, often after alpha or beta decay
What is neutron activation?
Atomic nuclei (stable target) capture free neutrons to produce an unstable product
What are the methods to create artificial radionuclides?
Neutron induced fission, neutron activation and reactions using beams of charged particles from accelerators
A typical cross section for a collision of a light particle with a medium-mass nucleus is one barn, how much is this value
10^-24 cm^2
How do you get the total cross section for a collision from the partial cross sections? (many different reactions can occur and each have their own partial cross section)
Sum the partial cross sections
After nuclear fission, all fission fragments are unstable, are they neutron or proton rich?
Neutron rich
How do neutron rich nuclei decay?
Beta minus decay
After neutron activation, how does the unstable product typically decay?
Beta minus decay
How many molecules are there in 1 mole of any substance?
Avogadro’s number
Are photon interactions stochastic by nature?
Yes
What are the two broad types of photon interactions?
Absorption processes (incoming photon loses all energy to target medium and secondary particles may be emitted) and scattering processes (photons change direction, motion, energy and momentum)
What are the main absorption processes for photons interactions?
Photoelectric effect, pair and triplet production, nuclear photo effect (normally neglected)
What are the main scattering processes for photon interactions?
Coherent (energy unchanged -elastic?) and incoherent scattering (energy changed - inelastic?)
What is the differential cross section?
The probability that a particle passing through an area of dσ (cross section) before scattering can be found within the solid angle dΩ
after scattering. (in 2D this could be an angle theta)
What is the basic premise of the photoelectric effect?
Photon interacts with a bound atomic electron (usually in K shell) and a photoelectron is emitted
What is the energy of the photoelectron after the photoelectric interaction has taken place?
The photon energy minus the binding energy
Is the photoelectric effect dominant at high or low energies?
Low
Does the photoelectric absorption cross section increase or decrease as photon energy increases?
Decreases
Where are there discontinuities in the photoelectric cross section curve?
At given binding energies of electrons in atomic shells called absorption edges (above this they can cause ionisation)
What is an absorption edge?
A sharp discontinuity in the absorption spectrum, which occur when the energy of an absorbed photon corresponds to an electronic transition or ionisation potential
What shell is the absorption edge most pronounced?
K shell (K-edge specifically named)
Why does the photoelectric effect depend on the atomic number?
It increases when the number of electrons that can participate in the process increases
What is the fluorescence yield, omega? (related to photoelectric effect)
The probability of emission of a characteristic x-ray
What is the probability of emission of an Auger electron in terms of the fluorescence yield?
1 minus the fluorescence yield (ie if it doesn’t emit a characteristic x-ray, it will emit an auger electron)
Is the fluorescence yield larger or smaller for when filling a vacancy in the K-shell compared to a shell with lower binding energy?
Larger
Does the K-fluorescence yield increase or decrease with decreasing atomic number? (K-fluorescence = probability of emission of characteristic x-ray from k-shell)
Decrease
Is the photoelectric effect probable or improbable at low photon energies, especially for materials with atomic number (like bones)?
Probable
What energy does a photon have to have in order for pair production to occur?
Exceed twice the rest mass energy of an electron = 1.02 MeV
What is pair production?
Photon above 1.02 MeV in the electric field of the nucleus turns into an electron-positron pair with any excess energy being shared as kinetic energy
What will happen after the pair production process?
Positronium formed with positron acting like nucleus with electron around it before positron annihilates with an electron when it slows down and creates two annihilation photons (511 keV each)
What is triplet production?
Pair production in the electric field of an atomic electron, which also causes the atomic electron to be ejected from the atomic shell
What is the energy threshold of triplet production>
4 times the rest mass energy of an electron = 2.04 MeV
Is the cross -section for pair and triplet production zero or non-zero below their energy thresholds?
Zero
How does the pair production cross section (above threshold) vary with photon energies and atomic number, Z?
Increases with increasing energy and approximately proportional to the square of the atomic number, Z (nuclear charge)
How does the triplet production cross section vary with nuclear charge /atomic number, Z (above energy threshold) and what does this mean?
Approximately varies with Z so it gets less important with increasing atomic number
What is a form of incoherent scattering?
Compton scattering
When the energy of the photon is significantly larger than the binding energy of an electron, how do we consider a target electron (incoherent scattering)?
Free and at rest at the time of collision
At lower photon energy scattering, what is it called when photons can scatter from individual bound electrons (1) and what is it called when it can scatter in phase from all the bound electrons together?
(1) incoherent scattering
(2) coherent scattering
What is Compton scattering?
A photon with far more energy than the binding energy of an electron is scattered through an angled theta wrt its original direction and transfer a fraction of its energy to a recoil electron
Does a photon lose any energy if it is Compton scattered in the forward direction?
No
In what direction does a photon lose the largest fraction of its energy following Compton scattering?
Backscattering (theta = 180 degrees)
In Compton scattering, does the fractional loss of energy of the photon increase or decrease as the photon energy increases (for the same scattering angle)?
Increases
In Compton scattering, the kinetic energy of the electron is given by what calculation?
The difference between the incident and scattered photon
In Compton scattering, when is the kinetic energy of the electron the largest and when is it zero?
Largest when the photon is backscattered and zero when the photon is forward scattered
In Compton scattering, is it more or less likely a higher energy photon will be scattered forwards?
More
Is Compton scattering dependent on incident photon energy?
Only weakly, it is relatively constant over the range 10-600 keV
The cross section for coherent (elastic) scattering is proportional to what and what does this mean?
The atomic number divided by the energy squared, so only occurs for low energies
Are we concerned about coherent scatter at typically used energies?
No
The cross section for the photoelectric effect is proportional to what?
Atomic number to the power of 5 divided by photon energy to the power of 3.5
What is the nuclear photoeffect?
A photon with energy exceeding the binding energy of a nucleon can be absorbed and one or more nucleons are ejected
Out of the photon interactions, which one dominates at low energies?
Photoelectric effect
Out of the photon interactions, which one dominates for increasing energies but not really high energies (intermediate energies)?
Incoherent scattering (Compton)
Out of the photon interactions, which one dominates at high energies?
Pair production
Out of the photon interactions, which one dominates for low atomic number Z for a wide range of energies (very low to several tens of MeV)?
Compton scattering
Out of the photon interactions, which one dominates for increased atomic number Z but at lower energies?
Photoelectric effect
Out of the photon interactions, which one dominate for increased atomic number Z and high energies?
Pair production
Attenuation of the beam intensity depend on what factors and with what relationship?
Linear attenuation coefficient and thickness of absorber, initial intensity times e to the power of minus mu times thickness is the intensity
What does the linear attenuation coefficient depend on?
Density of material and atomic number. (decreases with increasing photon energy)
What is the linear attenuation coefficient?
The probability per unit length for interaction
How is the linear attenuation coefficient related to the total atomic cross section?
It is equal to the total cross section multiplied by the number of target entities per unit volume
What is the mass attenuation coefficient?
Linear attenuation coefficient divided by density
What is the half-value thickness?
The thickness of absorber needed to decrease the transmitted beam by half
What is the equation for half value thickness?
ln(2) divided by the linear attenuation coefficient
What is the equation for mean free path of photons in an absorber?
1 over the linear attenuation coefficient or the half value thickness divided by ln(2)
In medical physics, even if the primary beam is a photon, what is it that causes the biological effects?
Charged particles (secondary radiation)
What are the two interaction mechanisms for heavier charged particles (»1amu) that particles loses energy?
Collision and elastic scattering
What are the three interaction mechanisms for electrons?
Collisions (inelastic scattering), radiative (bremsstrahlung) and elastic scattering
How is momentum transferred to atomic electrons as the ion passes by due to the Coulomb force?
Impulse
Do heavy charged particles lose a lot of energy in a collision with an electron and what does this mean?
No, only a small amount so the charged particle needs lots of collisions before it stops
What are delta rays?
Fast electrons that are produced when they have been transferred enough energy from a charged particle and the electrons can ionise further atoms in subsequent interactions
What are soft collisions in terms of interactions with charged particles?
Occur at a large distance where the Coulomb force field affects the atom as a whole with a small amount of energy transferred to possibly cause excitation or ionisation
Are hard or soft collisions more numerous?
Soft