Basic Physics Flashcards
In decreasing order (highest to lowest) - rank the different imaging modalities for highest spatial resolution to lowest.
Screen film (0.08mm) Fluoroscopy (0.125) Digital radiography (0.17) CT/US (0.3) MRI (1) PET (5) Planar Nuc Med (2.5-5) SPECT (7)
What is an isotope - give an example
Nuclides with the same atomic number (protons) (Z)
I-131 and I-125
Z=53, neutrons are different (78 vs 72)
What is an isobar - give an example
Nuclides with the same atomic mass (A) (# of protons and neutrons)
Mo-99 and Tc-99
What is an isotone - give an example
Nuclides with the same # of neutrons (A-Z)
53-I-131 and 54-Xe-132
N = 78
What is an isomer - give an example
A and Z are the same, but different energy states.
Tc-99 vs Tc-99m - difference in energy is 140keV
There are two equations that are discussed when talking about EM radiation characteristics (wave vs particle) what are these equations and units.
Wave: c= wavelength x frequency.
Speed of light = m/s
Particle: E = 1.24 / wavelength
E = keV
What is ionizing vs non-ionizing radiation?
Ionizing - particles that carry enough energy to cause displacement of orbital electrons (>200nm)
Non-ionizing - particles that cannot displace electrons (
Give the worlds briefest summary on Einstein’s most famous equation and how this relates to radiology
E = mc2
Mass and energy are conserved, either separately or into one another.
Important in radiology because positrons will undergo annihilation in which everything is converted to energy.
How many electrons are in each orbital shell?
2n^2
K = 2
L = 8 etc
What is the orbital binding energy.
What is orbital binding energy for Tungsten K-shell and L-shell
energy required to remove electron from the atom
Tungsten - Z = 54.
k = 69.5keV, L = 11keV, M=2.5
What is characteristic radiation vs auger electron formation?
Characteristic radiation - results in displacement of electron resulting in cascade of electrons, and release of xray photon characteristic of the differences between energy levels (Tungsten M–> K - 67keV photon released)
Auger electron - electron in outer shell is displaced, but energy is transferred to an orbital electron rather than an x-ray photon (typically in the same shell as original electron)
Tungsten M–>K - 64.5keV
What are wavelengths for visible light?
red = 700 orange = 625 yellow = 575 green = 550 blue = 470 violet = 440
What is the difference between inelastic and elastic scattering?
Inelastic - loss of kinetic energy - example: bremsstrahlung
Elastic - total KE of colliding particles is unchanged - Photoelectric effect
What is the probability of Bremsstrahlung occurring?
Z^2/m^2
Proportional to square of atomic number of the absorber
indirectly related to the square fo the mass of the incident particle (more likely to occur with electrons than alpha particles)
What are 4 ways that xrays and gamma rays can interact with matter?
Rayleigh (coherent/classical scatter)
Compton
Photoelectric effect
Pair production
What is rayleigh scatter - and when is it likely to occur?
AKA: coherent/classical scatter Low energies (15-30keV) interacts with the whole atom (not individual electrons) and raises the total energy of atom. When de-excitation occurs - a photon of the same energy is emitted in a different direction.
NOT ionizing
Describe Compton scatter
Inelastic scatter
An xray photon interacts with outer shel electron - and electron and photon are ejected with decreased KE.
Why is Compton scatter bad vs PE?
Scattered photon can be absorbed by film.
PE - 100% of photon is absorbed or energy is transferred to electron.
When is Compton scatter more likely to occur?
High energy xray photons. Higher energy beams - will transfer more KE to electron, vice versa.
Increased electron density (# of electrons/gram x density) - will be relatively similar for all elements EXCEPT for hydrogen (no neutrons contributing to weight) - interacts with lower atomic Z
INDEPENDENT of atomic number (Z)
Describe the PE effect
Xray photon interacts with orbital electron - transfers all of KE to the photoelectron.
Electron is ejected resulting in ion pair.
Electron cascade then occurs - and can result in characteristic xray or Auger electron
What are absorption edges? (K-edge)
probability of PE effect occurring decreases with increasing energy xray photons. EXCEPT for at the absorption edges of matter.
Absorption edge = K-shell orbital binding energy.
Example: Tungsten (Z=74), K-shell 69.5keV. Photoelectric effect is less at 69 than at 70keV
What are absorption edges (K-edge) for Tungsten and Iodine?
Tungsten (74) K = 69.5keV
Iodine (53) K = 33.1keV
What is probability of PE effect occurring?
Z^3/E^3
Higher atomic number
Less likely to occurring with increasing energy of the incident photon(except at the absorption edge value of that element)
What is the linear attenuation coefficient?
fraction of photons that are removed from the beam per unit thickness (generally in 1/cm)
If you increase the energy of a beam - the linear attenuation coefficient will decrease (higher penetration)
What is exponential equation to calculate the linear attenuation coefficient?
N = No x e^(-ux) N = photons transmitted No = incident photons u = LAC x = thickness of tissue
What is LAC proportional to?
Give basic example.
Density. LAC will be greater with increasing density.
ubone > uwater > uice > uwater vapor
Give units of density, electrons per mass, and electron density
Density = g/cm3
Electrons per mass = e/g
Electron density = e/cm3
How do water, ice and water vapor differ in density, electrons per mass and electron density
Water density = 1 g/cm3. Water vapor and ice will be lower than this
Electrons/g will be exactly the same.
Electron density = e/cm3 will be less for ice and water vapor.