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Title: On the local density dependence of electronic stopping of ions in solids

Abstract

We use here time-dependent density functional theory to calculate the electronic stopping Se in binary Ni-Ni atomic collisions and for a Ni projectile along channeling directions in a Ni crystal. Our results show that when Se is reported as a function of the ground state target electronic density ρ0 the stopping is not a single-valued function of the local density, as assumed in formalisms that date back to the origins of quantum mechanics, but shows loops, suggesting that it is inaccurate to model stopping as a dissipative force of the type F = β ( ρ 0 ) v , as it is customarily done in non-adiabatic molecular dynamics simulations of ion-solid interactions. We compare our results with Se in a uniform electron gas where the above definition for the force holds, and conclude on the validity of using jellium as a crude approximation for more realistic inhomogeneous electron gases.

Authors:
 [1]; ORCiD logo [2];  [2];  [3]
  1. Virginia Polytechnic Inst. and State Univ. (Virginia Tech), Blacksburg, VA (United States). Dept. of Mechanical Engineering
  2. Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States). Quantum Simulations Group
  3. George Washington Univ., Ashburn, VA (United States). Science and Technology Center
Publication Date:
Research Org.:
Energy Frontier Research Centers (EFRC) (United States). Energy Dissipation to Defect Evolution (EDDE); Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1512617
Alternate Identifier(s):
OSTI ID: 1532557
Report Number(s):
LLNL-JRNL-771401
Journal ID: ISSN 0022-3115; 962525
Grant/Contract Number:  
AC52-07NA27344; 2014ORNL1026
Resource Type:
Accepted Manuscript
Journal Name:
Journal of Nuclear Materials
Additional Journal Information:
Journal Volume: 507; Journal ID: ISSN 0022-3115
Publisher:
Elsevier
Country of Publication:
United States
Language:
English
Subject:
74 ATOMIC AND MOLECULAR PHYSICS; time dependent density functional theory; binary collisions; electronic stopping power; nickel

Citation Formats

Caro, M., Tamm, A., Correa, A. A., and Caro, A. On the local density dependence of electronic stopping of ions in solids. United States: N. p., 2018. Web. doi:10.1016/j.jnucmat.2018.04.019.
Caro, M., Tamm, A., Correa, A. A., & Caro, A. On the local density dependence of electronic stopping of ions in solids. United States. https://doi.org/10.1016/j.jnucmat.2018.04.019
Caro, M., Tamm, A., Correa, A. A., and Caro, A. Wed . "On the local density dependence of electronic stopping of ions in solids". United States. https://doi.org/10.1016/j.jnucmat.2018.04.019. https://www.osti.gov/servlets/purl/1512617.
@article{osti_1512617,
title = {On the local density dependence of electronic stopping of ions in solids},
author = {Caro, M. and Tamm, A. and Correa, A. A. and Caro, A.},
abstractNote = {We use here time-dependent density functional theory to calculate the electronic stopping Se in binary Ni-Ni atomic collisions and for a Ni projectile along channeling directions in a Ni crystal. Our results show that when Se is reported as a function of the ground state target electronic density ρ0 the stopping is not a single-valued function of the local density, as assumed in formalisms that date back to the origins of quantum mechanics, but shows loops, suggesting that it is inaccurate to model stopping as a dissipative force of the type F = β ( ρ 0 ) v , as it is customarily done in non-adiabatic molecular dynamics simulations of ion-solid interactions. We compare our results with Se in a uniform electron gas where the above definition for the force holds, and conclude on the validity of using jellium as a crude approximation for more realistic inhomogeneous electron gases.},
doi = {10.1016/j.jnucmat.2018.04.019},
journal = {Journal of Nuclear Materials},
number = ,
volume = 507,
place = {United States},
year = {2018},
month = {4}
}

Journal Article:

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Cited by: 5 works
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Figures / Tables:

FIG. 1 FIG. 1: Energy as a function of relative projectile position for a Ni projectile traveling with velocity v = 0.3 a. u. along a rectilinear trajectory that passes at a distance $b$ = 1.19 a.u. of an atom at rest at the origin of coordinates: a- Total non-adiabatic electronic energymore » with respect to the ground state (red solid line) b- Electronic energy in the adiabatic or Born-Oppenheimer approximation (green dashed line), c- Difference between non-adiabatic and adiabatic results (blue dotted line).« less

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Works referenced in this record:

II. On the theory of the decrease of velocity of moving electrified particles on passing through matter
journal, January 1913

  • Bohr, N.
  • The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science, Vol. 25, Issue 145
  • DOI: 10.1080/14786440108634305

XXXVII. On the constitution of atoms and molecules
journal, September 1913

  • Bohr, N.
  • The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science, Vol. 26, Issue 153
  • DOI: 10.1080/14786441308634993

Emission of Charged Particles from Crystals
journal, June 1971


Inelastic scattering of slow ions in channeling
journal, June 1974


Atoms embedded in an electron gas: Phase shifts and cross sections
journal, May 1983


Electronic band structure effects in the stopping of protons in copper
journal, October 2016


Electronic Stopping Power in Gold: The Role of d Electrons and the H / He Anomaly
journal, May 2012


Density functional calculation of stopping power of an electron gas for slow ions
journal, March 1981


Electron promotion and electronic friction in atomic collision cascades
journal, February 2007


SRIM – The stopping and range of ions in matter (2010)
journal, June 2010

  • Ziegler, James F.; Ziegler, M. D.; Biersack, J. P.
  • Nuclear Instruments and Methods in Physics Research Section B: Beam Interactions with Materials and Atoms, Vol. 268, Issue 11-12
  • DOI: 10.1016/j.nimb.2010.02.091

Uncertainty estimates for theoretical atomic and molecular data
journal, August 2016


Electronic stopping power calculation method for molecular dynamics simulations using local Firsov and free electron-gas models
journal, September 2006

  • Peltola, J.; Nordlund, K.; Keinonen, J.
  • Radiation Effects and Defects in Solids, Vol. 161, Issue 9
  • DOI: 10.1080/10420150600825693

Ion-electron interaction in molecular-dynamics cascades
journal, September 1989


The effect of electronic energy loss on the dynamics of thermal spikes in Cu
journal, March 1991

  • Prönnecke, S.; Caro, A.; Victoria, M.
  • Journal of Materials Research, Vol. 6, Issue 3
  • DOI: 10.1557/JMR.1991.0483

Correlated electron-ion dynamics in metallic systems
journal, November 2008


The treatment of electronic excitations in atomistic models of radiation damage in metals
journal, October 2010


Incorporating non-adiabatic effects in embedded atom potentials for radiation damage cascade simulations
journal, March 2015


Electronic Stopping Power in LiF from First Principles
journal, December 2007


Nonadiabatic Forces in Ion-Solid Interactions: The Initial Stages of Radiation Damage
journal, May 2012


Effects of two-temperature model on cascade evolution in Ni and NiFe
journal, November 2016


Two-temperature model in molecular dynamics simulations of cascades in Ni-based alloys
journal, April 2017


Effects of electronic excitation on cascade dynamics in nickel–iron and nickel–palladium systems
journal, September 2017


Effects of the electron-phonon coupling activation in collision cascades
journal, July 2017


Density-Functional Theory for Time-Dependent Systems
journal, March 1984


Adequacy of damped dynamics to represent the electron-phonon interaction in solids
journal, October 2015


Stopping power beyond the adiabatic approximation
journal, June 2017


Zur Quantentheorie der Molekeln
journal, January 1927


Plane-wave pseudopotential implementation of explicit integrators for time-dependent Kohn-Sham equations in large-scale simulations
journal, December 2012

  • Schleife, André; Draeger, Erik W.; Kanai, Yosuke
  • The Journal of Chemical Physics, Vol. 137, Issue 22
  • DOI: 10.1063/1.4758792

Embedded-atom method: Derivation and application to impurities, surfaces, and other defects in metals
journal, June 1984


Electronic effects in radiation damage simulations
journal, September 2009

  • Duffy, D. M.; Khakshouri, S.; Rutherford, A. M.
  • Nuclear Instruments and Methods in Physics Research Section B: Beam Interactions with Materials and Atoms, Vol. 267, Issue 18
  • DOI: 10.1016/j.nimb.2009.06.047

Role of Tensorial Electronic Friction in Energy Transfer at Metal Surfaces
journal, May 2016


Current-driven atomic waterwheels
journal, February 2009

  • Dundas, Daniel; McEniry, Eunan J.; Todorov, Tchavdar N.
  • Nature Nanotechnology, Vol. 4, Issue 2
  • DOI: 10.1038/nnano.2008.411

Works referencing / citing this record:

Effect of resonant coherent excitation on the electronic stopping of slow channeled ions
journal, November 2019


Heavy ion ranges from first-principles electron dynamics
journal, April 2019

  • Sand, Andrea E.; Ullah, Rafi; Correa, Alfredo A.
  • npj Computational Materials, Vol. 5, Issue 1
  • DOI: 10.1038/s41524-019-0180-5

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