Pair Production in Physics
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Questions and Answers

Which factor(s) do the photoelectric atomic attenuation coefficients depend on?

  • Atomic number
  • Wavelength
  • Both atomic number and energy (correct)
  • Energy
  • For which type of photons is the photoelectric effect the major contributor to mass attenuation at relatively low energies?

  • Photons with energies below 0.5 MeV
  • Photons with energy close to or less than the binding energy (correct)
  • Photons with very high energy
  • Photons with energy much greater than the binding energy
  • What happens at absorption edges in terms of photon energy and binding energy of a shell?

  • Photon energy is lower than binding energy
  • Photon energy equals binding energy (correct)
  • Photon energy has no relation to binding energy
  • Photon energy is higher than binding energy
  • In the Compton effect, why is the orbital electron considered 'free'?

    <p>Because its energy is much greater than the binding energy</p> Signup and view all the answers

    What does the Compton electronic attenuation coefficient depend on?

    <p>Electron density</p> Signup and view all the answers

    What is the half value layer (HVL) of concrete for a 10 MeV photon beam?

    <p>21.32 cm</p> Signup and view all the answers

    Which property does the energy loss of a charged particle in matter depend on?

    <p>All of the above</p> Signup and view all the answers

    What is the total stopping power defined as?

    <p>The sum of collision stopping power and radiation stopping power</p> Signup and view all the answers

    What is characteristic of atomic excitation during electron interactions with matter?

    <p>Transfer of an atomic orbital electron to a higher energy level orbit</p> Signup and view all the answers

    What type of interaction between incident electrons and absorber nuclei results in no energy loss?

    <p>Elastic collision</p> Signup and view all the answers

    Which factor characterizes the loss of kinetic energy through bremsstrahlung during electron-nucleus interactions?

    <p>Radiation stopping power</p> Signup and view all the answers

    What is the energy threshold for nuclear pair production to occur?

    <p>1.022 MeV</p> Signup and view all the answers

    What type of pair production occurs in the Coulomb field of an absorber orbital electron?

    <p>Electronic pair production</p> Signup and view all the answers

    Which interaction generally predominates at low photon energies?

    <p>Photoelectric effect</p> Signup and view all the answers

    What does the linear attenuation coefficient m depend on?

    <p>Energy of the photon and absorber's atomic number (Z)</p> Signup and view all the answers

    What does the half-value layer (HVL) represent?

    <p>Absorber thickness attenuating beam intensity to 50%</p> Signup and view all the answers

    Which absorber thickness reduces beam intensity to 10% of the original intensity?

    <p>Tenth-value layer (TVL)</p> Signup and view all the answers

    How is the linear attenuation coefficient determined experimentally?

    <p>By using a narrow collimated mono-energetic photon beam</p> Signup and view all the answers

    Study Notes

    Pair Production

    • Production of e- - e+ pair occurs when an incident photon is completely absorbed by an absorber atom
    • Requires energy (Eg) greater than 2mec2 = 1.022 MeV, where mec2 is the rest energy of e- and e+
    • Two types of pair production:
      • Nuclear pair production: occurs when the collision partner is the absorber atomic nucleus, with Eg > 2mec2
      • Electronic pair production or triplet production: occurs when the collision partner is the absorber orbital electron, with Eg > 4mec2 = 2.044 MeV
    • Pair production probability is zero for Eg < 2mec2 and increases rapidly with Eg > threshold
    • Nuclear pair production contributes more than 90% to the pair production attenuation coefficient

    Attenuation Coefficients

    • Linear attenuation coefficient (m) is the probability per unit path length that a photon will have an interaction with the absorber
    • Depends on photon energy (hn) and absorber atomic number (Z)
    • Exponential absorption of photon beam in absorber occurs, with intensity decreasing as absorber thickness increases
    • Attenuation coefficient (m) is determined experimentally by measuring beam intensity with varying absorber thicknesses

    Characteristic Absorber Thicknesses

    • Three special thicknesses used to characterize photon beams:
      • Half-value layer (HVL or x1/2): absorber thickness that attenuates original intensity by 50%
      • Mean free path (MFP or λ): absorber thickness that attenuates beam intensity by e = 36.8%/1
      • Tenth-value layer (TVL or x1/10): absorber thickness that attenuates beam intensity to 10% of the original intensity

    Photoelectric Effect

    • Occurs when an orbital electron is ejected from the atom as a photoelectron, with kinetic energy EK = hν - EB
    • Threshold energy: Eg = hν > EB, where EB is the binding energy of the photoelectron
    • Photoelectric atomic attenuation coefficients depend on atomic number and energy
    • Photoelectric effect is the major contributor to attenuation coefficient at relatively low Eg

    Compton Effect

    • Occurs when an incident photon interacts with a loosely bound ("free") electron, transferring part of its energy to the electron
    • Photon is scattered through a scattering angle, with energy E'g = hn' lower than incident energy Eg
    • Basic Compton equation: λ' - λ = λC = 0.024Å, where λC is the Compton wavelength of the electron
    • Relationship between scattered and incident energies: Eg' = (Eg / (1 + (Eg / mec2)(1 - cos(θ)))

    Electron Interactions with Matter

    • Energetic charged particles undergo Coulomb interactions with absorber atoms, resulting in:
      • Ionization loss
      • Radiation loss
    • Interactions characterized by specific cross-section (probability) and stopping power
    • Energy loss depends on particle properties and absorber properties
    • Total stopping power: stot = scol + srad, where scol is collision stopping power and srad is radiation stopping power

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    Description

    Learn about pair production in physics, which involves the creation of an electron-positron pair with the complete absorption of an incident photon by an absorber atom. Explore the conditions and characteristics of nuclear pair production and electronic pair production (or triplet production).

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