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Ion-Irradiation-Induced Defects in Solids Michael Nastasi Director, Nebraska Center for Energy Sciences Research Elmer Koch Professor, Mechanical and Materials Engineering University of Nebraska-Lincoln Presented at the Conference on Physics


  1. Ion-Irradiation-Induced Defects in Solids Michael Nastasi Director, Nebraska Center for Energy Sciences Research Elmer Koch Professor, Mechanical and Materials Engineering University of Nebraska-Lincoln Presented at the Conference on Physics of Defects in Solids: Quantum Mechanics Meet Topology Trieste, Italy, July 9-13, 2018

  2. Outline: Ion-Irradiation-Induced Defects in Solids  Sources of ion irradiation  Ion stopping: nuclear stopping, displacements and defect formation  Microstructural control of defect retention – nanolayered materials – amorphous materials  Summary

  3. Sources of Ion Irradiation  Ion Accelerators  Nuclear Environments (fusion, fission)

  4. Ion Implantation System with Mass Separation Schematic drawing of an ion implantation system. A mass-separating magnet is used to select the ion species (elements and isotopes) of interest. Beam-sweeping facilities are required for large-area uniform implantations Magnetostatic field can not change the kinetic energy (K.E.) of the Ion Source particle, only change the direction Ion Acceleration of its velocity. K.E. = 0.5 mv 2 = eV Mass Separation The radius (R) of the circular path is proportional to the velocity of the particle. Beam Sweeping R = m v / q B Target Chamber m = ion mass, v = ion’s velocity, q = charge, B = magnetic field

  5. Neutron Sources of Ion Irradiation 10 B neutron capture and boron disintegration BC 10 B + n → 7 Li (0.84 MeV) + 4 He (1.47 MeV) + γ (0.48 MeV) (94%) 10 B + n → 7 Li (0.84 MeV) + 4 He (1.78 MeV) (6%) The energetic He and Li ions give rise to radiation damage This damage process can be simulated with energetic ions produced by an ion accelerator

  6. Outline: Ion-Irradiation-Induced Defects in Solids  Sources of ion irradiation  Ion stopping: nuclear stopping, displacements and defect formation  Microstructural control of defect retention – nanolayered materials – amorphous materials  Summary

  7. Ion Stopping: The Process of Slowing Down the Ion The passage of an energetic ion in a solid during an ion implantation. As the ion travels across the solid, it undergoes collisions with stationary target atoms, which deflect the ion from its initial direction ( nuclear stopping ). The ion also collides with electrons in the solid and loses energy in these collisions ( electronic stopping ). Ion Lattice The major changes in the ion’s flight direction are due Electrons to the ion's collision with Atoms Nuclear Collisions individual lattice atoms (nuclear collisions). Ion

  8. Energy loss: Ion Stopping V 0 = Bohr velocity Nuclear stopping dominates as the ion slows down

  9. Nuclear Stopping, Displacements and Defect Formation Collisions between ions and target atoms result in the slowing down of the ion. In these collisions, Displaced Atom sufficient energy may be transferred from the ion to Vacant Site displace an atom from its original site Normal Atom Interstitial Atom Path of Primary Particle Path of Primary Knock-On Primary Recoil Atom Incident Particle Atoms that are displaced by incident ions are called primary knock-on atoms or PKAs . The PKAs can in turn displace other atoms, i.e., secondary knock-on atoms, tertiary knock-ons, etc., thus creating a cascade of atomic collisions . This leads to a distribution of defects, vacancies, interstitial atoms and other types of lattice disorder, in the region around the ion track .

  10. Damage Production and dpa A commonly used measure of irradiation damage is displacements per atom (dpa). dpa = Number of displacements per unit volume/atomic density A unit of 1 dpa means that, on average, every atom in the irradiated volume has been displaced from its equilibrium lattice site one time.

  11. Outline: Ion-Irradiation-Induced Defects in Solids  Sources of ion irradiation  Ion stopping: nuclear stopping, displacements and defect formation  Microstructural control of defect retention – nanolayered materials – amorphous materials  Summary

  12. Microstructural Control of Defect Retention • Why are Defects a Problem? • How to Reduce or Avoid Defect Formation? NCE SR

  13. Why are defects a problem? Crystalline structural materials are prone to radiation damage: void swelling and embrittlement Defects that do NOT Defects that do NOT recombine aggregate into recombine aggregate into Atomic defects produced Atomic defects produced vacancy or interstitial clusters vacancy or interstitial clusters by irradiation by irradiation Vacancies Vacancies Interstitials Interstitials Embrittlement D.L. Porter and F. A. Garner, J. Nuclear Materials, 159 , (1988) 114 D.J. Bacon and Y.N. Osetsky, Int. Mater. Rev., 47 , (2002). 233 H. Trinkaus and B.N. Singh, J. Nuclear Materials, 323 , (2003) 229 . How to Reduce or Avoid Defect Formation? 3

  14. Radiation Tolerance: Approach to Finding the Solution in Crystalline Materials Grain boundary Defect sinks α β Incoherent interface (b) (a) 1. A. Misra, et al ., JOM, 59 (2007) 62. 2. 2. C. Sun et al ., Sci. Rep., 5, (2014) 7801. 14

  15. Grain and interphase boundaries are known to be defect sinks B.N. Singh, J. Nucl. Mater., 46 (1973) 99; Phil. Mag. 28 (1973) 1409. B.N. Singh, S.J. Zinkle, J. Nucl. Mater., (1993). Cu A few nanometers Nb M.J. Demkowicz, R.G. Hoagland, J.P. Hirth, Physical Review Letters , 100 , 136102 (2008). NCE SR

  16. Lattice misfit gives rise to multiple interface atomic configurations Each in the Kurdjumov-Sachs orientation relation with nearly degenerate energies KS 1 KS 2 KS min • Created by simply joining • Interfacial Cu atom layer • Contains a 5% atomic Cu and Nb in the KS OR homogeneously strained vacancy concentration with respect to Cu (111) • Quasiperiodic pattern of • Lowest energy low coordination sites • No low coordination sites configuration at T=0K Looking edge-on along the interface: Cu atoms on top (light), Nb atoms below (dark) Looking down onto interface plane: Cu atoms on top (light), Nb atoms below (dark)

  17. Consequences of lattice misfit • Low defect formation energy Effective formation energy for a concentration “c” of defects in KS min : ( ) − γ Cu − Nb ρ Cu ( ) ( ) ρ Cu γ Cu − Nb 1 + c   ∆ E eff = ∆ γ Cu − Nb min min eV = ≈ 12 c   ∆ ρ Cu c ρ Cu   min defect For example, if c=0.01 then ∆ E eff ≈0.12 eV/defect • Large defect core sizes Effective interfacial defect KS 1 KS 2 KS min recombination radius ≥ 0.75nm • Athermal migration of defects to interfaces Energy barriers for point defect migration to Cu-Nb interfaces These properties, together with increased defect mobility at interfaces, vanish at a critical favor radiation-induced point defect annihilation at interfaces. distance

  18. Recovery of vacancies and interstitials at grain boundaries This atom displaces many An energetic particle, such After the cascade settles, At this point, vacancies point defects -- interstitials  as a neutron, hits an atom other atoms in its path, remain in the bulk and  in the material, giving it and vacancies  -- remain. creating a collision cascade, interstitials are trapped at the which overlaps with the grain a large amount of kinetic The interstitials quickly GB. boundary (GB). energy. diffuse to the GB. interstitial emission Surprisingly, these trapped After the interstitial emission On much longer time scales, In the ideal case, the system interstitials can re-emit events have occurred, some the remaining vacancies can returns to a pristine GB. At low from the GB into the bulk, vacancies that were out of reach diffuse to the GB, completing temperatures, the only hope for annihilating the vacancies persist. The system is now in a the healing of the material. At reaching such a state is via the on time scales much faster relatively static situation. low temperatures this newly discovered interstitial than vacancy diffusion. diffusion is exceedingly slow. emission mechanism. X.-M. Bai, A. F. Voter, R. G. Hoagland, M. Nastasi, and B. P. Uberuaga, Science 327, 1631 (2010).

  19. Amorphous Materials: Eliminate the Root Source of Defects Questions: • How do amorphous materials respond to radiation damage? R. E. Baumer et al ., Materials Research Letters, 2, (2014) 221. NCE SR 19

  20. Proposed am orphous m aterial: SiOC WHY? This class of amorphous ceramics has been shown to have crystallization temperatures in excess of 1300 o C and good oxidation and creep resistance Even higher temperature crystallization temperatures with silicoboron carbonitride ceramic, stable to 2,000 o C! R. Riedel, H-J. Kleebe, V. Schonfelder and F. Aldinger. Nature, 374, pp. 526–528, (1995). Hypothesis: High crystallization temperature amorphous alloys will be stable under irradiation at elevated temperatures NCE SR

  21. Thermal stability of amorphous SiOC SiC 2 O 2 SiO 4 SiCO 3 SiO x C 4− x RT (x=0,1,2, 3,4) 250 o C SiC 3 O SiC 4 500 o C 750 o C RF Sputtering 1200 o C SiOC SiO 2 Si (100) Amorphous SiOC is stable >1200 o C. J.A. Colón Santana, et al. , Nucl. Inst. Methods Phys. Res. B, 350 (2015) 6. NCE SR 21 H. Ding, et al. , Scientific Report, 5 (2015) 13051.

  22. Ion irradiation of SiOC 100 keV He 10 dpa 600 o C (Little to no helium implantation) 22 NCE SR M. Nastasi, Q. Su, et al. , J. Nucl. Mater., 461 (2015) 200.

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