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Research Article

Inelastic scattering of low-energy electrons in liquid water computed from optical-data models of the Bethe surface

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Pages 22-28 | Received 17 Dec 2010, Accepted 09 May 2011, Published online: 14 Jul 2011

References

  • Abril I, Garcia-Molina R, Denton CD, Péréz-Péréz JF, Arista NR, 1998. Dielectric description of wakes and stopping powers in solids. Physical Review A 58:357–366.
  • Abril I, Denton CD, de Vera P, Kyriakou I, Emfietzoglou D, Garcia-Molina R. 2010. Effect of the Bethe surface description on the electronic excitations induced by energetic proton beams in liquid water and DNA. Nuclear Instruments and Methods in Physics Research B: Beam Interactions with Materials & Atoms 268: 1763–1767.
  • Ashley JC. 1983. Simple model for calculating stopping powers of condensed organic materials for low-energy electrons. 7th International Congress on Radiation Research. Amsterdam, The Netherlands: Martinus Nijhoff Publishers. A1–O3.
  • Ashley JC. 1988. Interaction of low-energy electrons with condensed matter: stopping powers and inelastic mean free paths from optical data. Journal of Electron Spectroscopy and Related Phenomena 46:199–214.
  • Dingfelder M. 2006. Track structure: Time evolution from physics to chemistry. Radiation Protection Dosimetry 122:16–21.
  • Dingfelder M, Hantke D, Inokuti M, Paretzke HG. 1998. Electron inelastic-scattering cross sections in liquid water. Radiation Physics and Chemistry 53:1–18.
  • Dingfelder M, Inokuti M. 1999. The Bethe surface of liquid water. Radiation and Environmental Biophysics 38:93–96.
  • Dingfelder M, Ritchie RH, Turner JE, Friedland W, Paretzke HG, Hamm RN. 2008. Comparisons of calculations with PARTRAC and NOREC: transport of electrons in liquid water. Radiation Research 169:584–594.
  • Emfietzoglou D., Nikjoo H. 2005. The effect of model approximations on single-collision distributions of low-energy electrons in liquid water. Radiation Research 163:98–111.
  • Emfietzoglou D, Cucinotta F, Nikjoo H. 2005. A complete dielectric response model for liquid water: a solution of the Bethe ridge problem. Radiation Research 164:202–211.
  • Emfietzoglou D, Nikjoo H. 2007. Accurate electron inelastic cross sections and stopping powers for liquid water over the 0.1-10 keV range based on an improved dielectric description of the Bethe surface. Radiation Research 167:110–120.
  • Emfietzoglou D, Abril I, Garcia-Molina R, Petsalakis ID, Nikjoo H, Kyriakou I, Pathak A. 2008. Semi-empirical dielectric descriptions of the Bethe surface of the valence bands of condensed water. Nuclear Instruments and Methods in Physics Research B: Beam Interactions with Materials & Atoms 266:1154–1161.
  • Emfietzoglou D, Garcia-Molina R, Kyriakou I, Abril I, Nikjoo H. 2009. A dielectric response study of the electronic stopping power of liquid water for energetic protons and a new I-value for water. Physics in Medicine and Biology 54:3451–3472.
  • Fermi E. 1940. The ionization loss of energy in gases and in condensed materials. Physical Review 57:485–493.
  • Fernández-Varea JM, Mayol R, Salvat F, Liljequist D. 1992. A comparison of inelastic scattering models based on a δ-function representation of the Bethe surface. Journal of Physics: Condensed Matter 4: 2879–2890.
  • Fernández-Varea JM, Mayol R, Liljequist D, Salvat F. 1993. Inelastic scattering of electrons in solids from a generalized oscillator strength model using optical and photoelectric data. Journal of Physics: Condensed Matter 5:3593–3610.
  • Fernández-Varea JM, Llovet X, Salvat F. 2005a. Cross sections for electron interactions in condensed matter. Surface and Interface Analysis 37:824–832.
  • Fernández-Varea JM, Salvat F, Dingfelder M, Liljequist D. 2005b. A relativistic optical-data model for inelastic scattering of electrons and positrons in condensed matter. Nuclear Instruments and Methods in Physics Research B: Beam Interactions with Materials & Atoms 229:187–218.
  • Hamm RN, Wright HA, Ritchie RH, Turner JE, Turner TP. 1975. Monte Carlo transport of electrons through liquid water. 5th Symposium on Microdosimetry. Brussels: EUR-5452 EC. 1037–1050.
  • Hayashi H, Watanabe N, Udagawa Y, Kao CC. 2000. The complete optical spectrum of liquid water measured by inelastic x-ray scattering. Proceedings of the National Academy of Science of USA 97:6264–6266.
  • Heller JM, Hamm RN, Birkhoff RD, Painter LR. 1974. Collective oscillation in liquid water. Journal of Chemical Physics 60:3483–3486.
  • Inokuti M. 1971. Inelastic collisions of fast charged particles with atoms and molecules – The Bethe theory revisited. Reviews of Modern Physics 43:297–347.
  • Kobayashi K. 1983. Optical spectra and electronic structure of ice. Journal of Physical Chemistry 87:4317–4321.
  • Liljequist D. 1983. A simple calculation of inelastic mean free path and stopping power for 50 eV-50 keV electrons in solids. Journal of Physics D: Applied Physics 16:1567–1582.
  • Liljequist D. 1985. Simple generalized oscillator strength density model applied to the simulation of keV electron-energy-loss distributions. Journal of Applied Physics 57:657–665.
  • Lindhard J. 1954. On the properties of a gas of charged particles. Det Kongelige Danske Videnskabernes Selskab Matematisk-fysiske Meddelelser 28:1–57.
  • Mermin ND. 1970. Lindhard dielectric function in the relaxation-time approximation. Physical Review B 1:2362–2363.
  • Penn DR. 1987. Electron mean-free-path calculations using a model dielectric function. Physical Review B 35:482–486.
  • Powell CJ. 1967. Inelastic scattering of kilovolt electrons by solids and liquids: determination of energy losses, cross sections, and correlations with optical data. Health Physics 13:1265–1275.
  • Powell CJ. 1974. Attenuation lengths of low-energy electrons in solids. Surface Science 44:29–46.
  • Ritchie RH. 1959. Interaction of charged particles with a degenerate Fermi-Dirac electron gas. Physical Review 114:644–654.
  • Ritchie RH, Howie A. 1977. Electron excitation and the optical potential in electron microscopy. Philosophical Magazine 36:463–481.
  • Ritchie RH, Hamm RN, Turner JE, Wright HA. 1978. The interaction of swift electrons with liquid water. 6th Symposium on Microdosimetry. Brussels, Belgium: EUR-6064 EC. 345–354.
  • Ritchie RH, Hamm RN, Turner JE, Wright HA. Bloch WE. 1991. Radiation interactions and energy transport in the condensed phase. In: Physical and Chemical Mechanisms in Molecular Radiation Biology. New York: Plenum Press. 99–133.
  • Salvat F, Fernández-Varea JM. 2009. Overview of physical interaction models for photon and electron transport used in Monte Carlo codes. Metrologia 46:S112–S138.
  • Smith DY. 1985. Dispersion theory, sum rules, and their application to the analysis of optical data. E.D. Palik. Handbook of optical constants of solids. New York: Academic Press. 35–68.
  • Tanuma S, Powell CJ, Penn DR. 1993. Use of sum rules on the energy-loss function for the evaluation of experimental optical data. Journal of Electron Spectroscopy and Related Phenomena 62:95–109.
  • Tanuma S, Powell CJ, Penn DR. 2011. Calculations of electron inelastic mean free paths IX. Data for 41 elemental solids over the 50 eV to 30 keV range. Surface and Interface Analysis 43:689–713.
  • Tavernelli I. 2006. Electronic density response of liquid water using time-dependent density functional theory. Physical Review B 73:094204.
  • Tung CJ, Ashley JC, Ritchie RH. 1979. Electron inelastic mean free paths and energy losses in solids II. Electron gas statistical model. Surface Science 81:427–439.
  • Watanabe N, Hayashi H, Udagawa Y. 2000. Inelastic X-ray scattering study on molecular liquids. Journal of Physics and Chemistry of Solids. 61:407–409.

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