Synchrotron-based high-pressure research in materials science Page: 3 of 5
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where E is kinetic energy of the projectile, T is kinetic energy transferred to the
recoil atom, Td is the displacement energy, and T.. is the highest recoil energy
according to kinematics. In a modified Kinchin-Pease model , v(T) is zero at
T<Td, unity at Td <T<2.5Td, and k(T)Ey/2Td at 2.5Td <T, where Ed is "damage"
energy available to generate atomic displacements by elastic collisions (Fig. 1).
Td is an irregular function of atomic number (-40 eV). The displacement
efficiency, k(T), introduced as a result of simulation studies on evolution of
atomic displacement cascades , drops from 1.4 to 0.3 once the PKA energy is
increased from 0.1 to 100 keV, and exhibits a weak dependence on target
material and temperature.
10 111 1 10 10
primary kinetic energy (keV i
Figure 1. Damage energy Ed versus PKA energy.
For electromagnetic elastic (Coulomb) scattering, the Rutherford cross-
section with Mott corrections and nuclear form-factors (a factor of two effect)
are used in our model. Resulting displacement cross-sections due to Coulomb
scattering are shown in Fig. 2 for various projectiles on silicon and carbon
targets. For elementary particles, energy dependence of ad disappears above 2-3
GeV, while it continues to higher energies for heavy ions. For projectiles heavier
than a proton, ad grows with a projectile charge z as z2/p2 at yp > 0.01, where @
is a projectile velocity. All products of elastic and inelastic nuclear interactions
as well as Coulomb elastic scattering of transported charged particles (hadrons,
electrons, muons and heavy ions) from 1 keV to 10 TeV contribute to DPA in
the MARS 15 model.
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Chen, Bin; Lin, Jung-Fu; Chen, Jiuhua; Zhang, Hengzhong & Zeng, Qiaoshi. Synchrotron-based high-pressure research in materials science, article, June 1, 2016; (digital.library.unt.edu/ark:/67531/metadc930529/m1/3/: accessed May 20, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.