Physics/Radiopharm 2 Flashcards
Define X, A, Z, and N on an illustration of an element
X = element symbol A = mass number o (vs. atomic mass = total mass of protons, neutrons and electrons in a single atom) Z = atomic number N = neutron number
Name four primary forces that act on an atom.
o Electromagnetic force
o Weak force
o Strong force
o Gravity
As atomic number increases why is there an excess of neutrons?
Neutrons/protons -> attractive residual strong nuclear force (act over very short distances)
Protons ->repulsive Coulombic forces (act over longer distances)
So, with ↑Z, ↑ N to counteract longer range Coulombic repulsion by protons
Question on nucleons – what they are, what the differences are between them and what they are made of
Nucleons = particles making up atomic nucleus = protons and neutrons, consist of quarks bound by residual strong nuclear force, mediated by gluons
Question on isotopes, isotomes, isobars, etc.
Nuclides with same: o isotopes – proton number o isobars – mass number o isomers – proton and neutron number, but different energy state o isotones – neutron number
Define binding energy, do heavier elements have higher/lower BE, explain
Binding Energy (BE) = energy released by dissociating a system into constituent parts = (Σ (masses of individual components) – (mass of bound system)) c2
2 types of BE: atomic vs. nuclear, both ↑ with ↑A, due to ↑ constituent parts, therefore >energy released by dissociating
For an endoergic nuclear reaction, what are the starting and threshold energies, and which of these two quantities is equivalent to the energy required to make it go? Define coulomb barrier.
Endoergic nuclear reaction: a reaction that requires energy to be injected in order to proceed.
Threshold energy = minimum kinetic energy of bombarding charged particle for nuclear reaction to be energetically possible
Starting energy = minimum kinetic energy of bombarding charged particle required to overcome the Coulomb barrier and to conserve momentum
Minimum kinetic energy for endoergic nuclear reaction is the larger of these two
Coulomb barrier: minimum energy to overcome repulsive electrostatic force between a bombarding charged particle and the target nucleus
What is the relationship between energy and wavelength of a photon
Inverse relationship: E=hc/λ
Question about the radioactivity of one Curie and what it initially represented, i.e. number of decays in a second for Radium-226.
1 Ci = 3.7 x 10^10 Bq = disintegration rate of 1 g of 226Ra
Define gamma ray, line of stability.
Gamma ray: electromagnetic radiation released from nucleus during decay
Line of stability: (draw arrow to line of stability on graph) N:Z ratio where more stable nuclei tend to lie
Question on types of decay for varying nuclides, i.e. proton rich or neutron rich, as well as stability of very small and very large nuclides.
proton rich: β+ decay, electron capture
neutron rich: β- decay, high Z: α decay and spontaneous fission
small nuclides stable if N:P ~ 1
large nuclides stable if N:P ~1.5
very large (Z > 82) all unstable (Bi-209 (Z=83) recently (2003) found to be unstable)
Why does the number of neutrons in the nucleus have to increase relative to atomic number in order to maintain stability in larger nuclei?
Neutrons/protons -> attractive residual strong nuclear force (act over very short distances)
Protons ->repulsive Coulombic forces (act over longer distances)
So, with ↑Z, ↑ N to counteract longer range Coulombic repulsion by protons
Why are atoms radioactive? What will make them stable?
Elements away from line of stability (i.e., N:Z = 1 for small nuclei and N:Z = 1.5 for large nuclei) tend to decay toward line of stability to become stable
Nuclear stability is determined by the nuclear shell structure. This depends on:
o Even numbers of nucleons (protons and neutrons) are more stable, while odd nucleon numbered nuclei tend to be less stable
o The ratio of protons to neutrons, which must decrease with increasing Z; those falling out of the range of stability, or which have too many protons and neutrons overall, are unstable and undergo radioactive decay, mediated by the weak nuclear force
describe 4 particles from nuclear transformation and what’s average energy and soft tissue penetration?
γ from IT: discrete energy; highly penetrating
e- from β- decay: Eavg ~ 1/3 Eβmax, mm-cm penetration
Neutrino: residual energy from β+ decay, essentially infinite penetration
Antineutrino: residual energy from β- decay, essentially infinite penetration
Auger electrons: discrete energy (BEK – 2 BEL), typically nm-μm penetration
Characteristic X-ray: discrete energies usually <100 keV, low penetration due to low energy
Given a beta minus decay scheme and asked to graph the energies of the beta particles and label. French: [Draw the energy distribution curve of a negatron emitted by beta minus decay. Label E-max, E-mean and both axes
n -> proton + electron + antineutrino
Also: AZX -> AZ+1X + antineutrino + energy
Decays to right
What other “particle” carries away energy in Electron capture?
Positron
Write the equation for positron decay for element with mass A and atomic # Z. If a particle undergoes positron decay, does it transmutate?
AZX -> AZ-1X + positron + neutrino + energy
Yes, transmutates
Transmutation happens when parent radionuclide (X) and daughter product (Y) are different chemical elements.
Transmutation: B-, EC, B+, alpha, only isomeric transition and internal conversion don’t
what’s common between positron and EC in terms of decay and what factor favours EC?
Both in low N:P ratio nuclides, results in Z-1 transmutation and are isobaric
↑Z favours EC
In both positron forms a neutron, both isobaric decay with transmutation, one by the emission of positron and neutrino (positron decay), the other by capture of K-shell electron by the nucleus and subsequent X-ray or Auger emission (EC). Larger elements favour EC as the K-shell is closer to the nucleus and more easily captured.
Two decay modes for a proton rich nucleus. What orbital process can occur after this? Emission that can accompany electron capture is?
Electron capture (EC) & positron decay
For EC, get hole in an inner electron orbital shell, results in emission of characteristic X-ray or Auger electron
Does the emission from a proton-rich isotope lead to transmutation?
Yes, EC or positron decay, resulting in Z-1
What type of radionuclides undergo decay by β+ and electron capture? What determines which decay the radionuclide undergoes? Why do heavier atoms undergo EC?
Low N:P ratio (proton rich) nuclei
If transition energy <1.022 MeV, can only have EC; must be >1.022 MeV, for positron decay; >transition energy makes positron more likely
↑ Z have inner shell electrons more tightly coupled to the nucleus ↑EC
Beta plus decay occurs in lighter elements, electron capture occurs in heavier elements.
What’s Auger electron? Can you have Auger electron from K shell? Why?
Occurs when an inner shell vacancy filled by an outer shell electron
Energy released enough to eject an outer shell electron, the Auger electron, but not enough to eject an inner shell electron such as from the K shell
Hole in K shell filled by L shell electron
Energy released ejects another L shell electron = Auger
Eauger = K-2L
Emitted from outer shell, result of characteristic X-ray overcoming binding energy
KLL = k-shell absence filled by L-shell electron; energy released overcomes binding energy of another L-shell electron which is ejected as the Auger electron; any energy above this L-shell binding energy is conferred as kinetic energy
Define Auger electron/effect, effect of Z on fluorescent yield. Can K shell electrons be ejected as Auger electrons? Why?
Occurs when an inner shell vacancy filled by an outer shell electron
Energy released enough to eject an outer shell electron, the Auger electron, but not enough to eject an inner shell electron such as from the K shell
Fluorescent yield = probability of characteristic x-ray / probability of Auger, ↑ with Z
Questions about internal conversion vs. auger effect and associated energies of the two processes.
Internal conversion Auger
Energy source: Excited/metastable nucleus vs Orbital electron transition
Origin shell: Inner vs Outer
Kinetic energy: Discrete (Eγ – BE) vs Discrete (BEhole – BEtransition – BEAuger )
Auger effect – when an outer shell electron moves in to fill a vacant inner shell electron, the energy released is transferred to an orbital electron which is then emitted instead of characteristic x-ray.
Internal conversion – nucleus decays by transferring energy to an orbital electron, which is ejected instead of the gamma ray. The conversion electrons usually originate from one of the inner shells (K or L), provided the binding energy can be overcome. The orbital vacancy is filled by an outer shell electron, accompanied by emission of characteristic x-ray or Auger electron.