Final... Flashcards
Exponential Attenuation

Types of Attenuation Coefficients

Energy Transferred

Net Energy Transferred

Energy Imparted

Kerma
Units: Gy or J/kg

Collision Kerma

Absorbed dose (D)
Units: Gy or J/kg

Exposure (X)
Units: C/kg or R

Dose Equivalent (H)
Units: Sv or rem

Effective Dose Equivalent

Number of Photon Interactions (n)

Mean Free Path or Relaxation Length

Buildup Factor (B)

Conditions required for Radiation Equilibrium (RE)
- The atomic composition of the medium is homogeneous
- The density of the medium is homogeneous
- The radioactive source is uniformly distributed
- There are no electric or magnetic fields present to perturb the charged-particle paths, except the fields associated with the randomly oriented individual atoms
Conditions required for Charged Particle Equilibrium (CPE)
- The atomic composition of the medium is homogeneous
- The density of the medium is homogeneous
- There exists a uniform field of indirectly ionizing radiation (the rays must be only negligibly attenuated by passage through the medium)
- No homogenous magnetic or electric fields are present
CPE

Causes for CPE failure
- Inhomogeneity of atomic composition within volume V
- Inhomogeneity of density within volume V
- Non-uniformity of indirectly ionizing radiation within volume V
- Presence of a non-homogenous electric or magnetic field in V
Transient Charged Particle Equilibrium (TCPE)

Interactions of Photons with Matter

Photoelectric

Compton

Pair and Triplet Production

Photonuclear

Flourescence yield
The fluorescence quantum yield gives the efficiency of the fluorescence process. It is defined as the ratio of the number of photons emitted to the number of photons absorbed.
Q_max equation
Know Derivation!

Q_max for different particles

Ratio of Radiative to Collisional Stopping Power

Critical Energy

Radiation Yield

Range Straggling
for statistical reasons, particles in the same medium have varying path lengths between the same initial and final energies.
CSDA Range

Assumptions made in Dose Calculation

Light Charged Particle definitions for Dose

Energy Absorbed in Thin Slab (Light Charged Particles)

Dose due to Light Charged Particles (thin slab)

Dose due to Light Charged Particles with Energy Spectrum (thin slab)

Radiation Length (thin slab)

Dose due to Heavy Charged Particles (thin slab)

Light Charged Particle in thick slab energies

Radiation Yield

Energy spent in collisions (thick slab)

Light Charged Particles in Thick Slab energies corrected

Dose in thick foil due to light charged particle

Energy imparted to thick foil by light charged particles

Heavy Charged Particle Thick Slab Residual R_CSDA

Heavy Charged Particle Energy left over thick slab

Heavy Charged Particle Dose in Thick Foil

Electron Backscatter
- When incident to a material, electrons backscatter due to nuclear elastic interactions which reduces dose near the surface. This effect is large for materials with high Z, low T0 and thick slabs.
- We need to correct for this in thick foils, but not in thin foils.
- Infinitely Thickness, ∞ - the maximum thickness, that an electron can backscatter; For electrons, this thickness is half of the maximum penetrating depth, tmax/2
Electron Energy Backscattering Coefficient

Backscattering electron number

Maximum Scatter angle of Bremmstrahlung
Bremsstrahlung Production
Proportional to Z^2 and inversly proportional to A
Energy Transfer Derivation

Relativistic Case Energy Transfer

Linear Stopping Power
The rate of energy loss per unit path length by a charged particle in a medium

Mass Stopping Power
Dividing the Linear Stopping Power by the density of the medium

Two Types of Stopping Powers

Radiative Stopping Power

Bethe Mass Collision Stopping Power Approximation

Mean Ionization Potential of the Medium

Relationships to Bethe Formula

Corrections to Bethe’s Expression

Bethe Corrected Equation

Range vs Projected Range

Range for Particles

Stopping Time

Bragg Curve

Ionization Constant

Dose in the gas

Assumptions in Cavity Theory
- The cavity is thin so that its presence does not perturb the charged particle field.
- Charged particles originating in the cavity don’t contribute to the absorbed dose in the cavity.
Bragg-Gray Cavity Theory Assumptions
- The scattering properties do not change for heavy particles and electrons
- Charged particles that enter the cavity were generated elsewhere
- Charged particles could originate in the wall from indirectly ionizing radiation
- Charged particles do not stop in the cavity
- The density of gas is very low compared to the solid
Bragg-Gray Cavity Theory can be applied for
- Charged particles entering from outside the vicinity (high energy charged particles)
- Charged particles generated inside the wall from gamma rays or neutrons
General Equation for Dose in a medium

Derivation of Cavity Theory Pt. 1

Derivation of Cavity Theory Pt. 2

Derivation of Cavity Theory Pt. 3

Conclusions and Comments on B-G Cavity Theory

First Corollary of B-G relation

Second Corollary of B-G relation

Cavity Theory Example

Spencer Derivation Assumptions
- N identical particles emitted per gram, each with kinetic energy T0
- CPE exists at cavity
- Bremsstrahlung radiation is neglected
Dose and Flux in Spencer Derivation

Spencer Derivation Pt. 1

Spencer Derivation Pt. 2

Spencer Derivation Pt. 3

Spencer with Bremsstrahlung

Averaging of Stopping Powers

Estimating the mass collision stopping power

Why use Spencer?

Size Parameter Delta

Equilibrium spectrum including delta rays

finding R(T,T0)

Spencer using R(T,T0)

Contrast between Spencer and B-G

Ultracold Neutrons

Very Cold Neutrons

Cold Neutrons

Thermal Neutrons

Epithermal Neutrons

Fast Neutrons

High Energy Neutrons

Energy Transferred to a nucleus from neutron

Energy Transferred in Neutron Units

Neutron Energy after collision

Neutron Spallation
Spallation occurs when a fast neutron n penetrates the nucleus and adds sufficient energy to the nucleus so that is disintegrates into many small residual components such as alphas and protons