Stopping Power and Range Calculations of Electrons For Some Human Body Tissues

Year 2019, NSP2018 Special Issue, 93 - 100, 28.03.2019

Hasan Gümüş

Abstract

This
study presents calculation results of the stopping power and range of electrons
of kinetic energy from 20 eV to 10 MeV for some human body tissues. The method
is based on utilization of the modified Bethe-Bloch stopping power expression
and analytical expression for effective atomic electron number and effective
mean excitation energies of target atoms, and for effective charge of incoming
electrons. For this aim, Sugiyama’s semi-empirical formula from Petersen and
Green is embedded in the formula. An analytical expression for the practical
stopping power calculations using Bethe approximation and Thomas-Fermi Model of
atom is taken from the previous study.

The
calculated results of the stopping power and range for electrons in some
materials, such as adipose tissue, bone and water are compared with a number of
other calculation such as the Penelope 14 code and ESTAR results. The present
electron stopping power and range calculation method should be useful in
nuclear medicine, radiation treatment, and biomedical dosimetry.

 

Keywords

Effective Charge, Effective Mean Excitaion Energy, CSDA Range, Lenz-Jensen screening function, Tietz Screening function

References

• [1] M. J. Berger, S. M. Seltzer, NAS-NRC Publ. No. 1133, Natl. Acad. Sci. Natl. Res. Council, Washington (1964) pp. 205–268.
• [2] L. Pages, E. Bertel, H. Joffre, L. Sklavenitis, Atomic Data 4, 1 (1972).
• [3] ICRU, Report No. 37, Stopping powers for electrons and positrons. International Commission on Radiation Units and Measurements, Bethesda, MD. (1984).
• [4] L. R. Peterson, A.E.S. Green, J. Phys. B 1, 1131 (1968).
• [5] H. Sugiyama, Radiat. Eff. 56, 205 (1981).
• [6] H. Sugiyama, Phys. Med. Biol. 30, 4, 331 (1985).
• [7] W. Lenz, Zeitung F. Physik, 77, 722 (1932).
• [8] H. Jensen, Zeitung F. Physik, 77, 713 (1932).
• [9] T. Tietz, J. Chem. Phys. 25, 789 (1956).
• [10] H. Gümüş, F. Köksal, Rad. Effects and Defects in Solids, 157, 445 (2002).
• [11] H. Gümüs, Radiation Physics and Chemistry 72 (1) 7 (2005).
• [12] H. Gümüs, A. Bentabet, Applied Physicsn A Materiasl Science & Processing, 123, 5, 334 (2017).
• [13] H. Gümüs, Applied Radiation and Isotopes 66, 12, 1886 (2008).
• [14] M. C, Tufan, T. Namdar, H. Gümüş, Radiation and Environmental Biophysics, 52, 2, 245 (2013).
• [15] W. H. Bragg, R. Kleeman. Philos. Mag. 10, 318 (1905)
• [16] ESTAR 2018 Stopping Power and Range Tables for Electron. http://physics.nist.gov/ PhysRefData/ Star/Text/ESTAR.html
• [17] PENELOPE-2014, F. Salvat, J. M. Fernadez-Varea, J. Sempau, Facultat de Fisica (ECM), Universitat de Barcelona (2014).
• [18] F. Rohrlich, B. C. Carlson, Phys. Rev. 93, 38 (1954).
• [19] N. Bohr, Phys. Rev. 58, 654 (1940).
• [20] N. Bohr, Phys. Rev. 59, 270 (1941).
• [21] J. Lindhard, M. Scharrf, K. Dan. Vidensk. Selsk. Mat. Fys. Medd. 27, 15, 1 (1953).
• [22] R. Cabrera-Trujillo, S. A. Cruz, J. Oddreshede, J. R. Sabin, Phys. Rev. A 55, 2864 (1997) (Erratum: 1999, vol. 59, p. 4850).
• [23] M. J. Berger, S. M. Seltzer, National Bureau of Standarts Report, NBSIR 82–2550 A. (1982).
• [24] G. J. Kutcher, A. E. S. Green, Rad. Res. 67, 408 (1976).
• [25] J. A. LaVerne, S. M. Pimblott, A. Mozumer, Rad. Phys. Chem. 38, 75 (1991).
• [26] ICRU Report No. 16, Linear Energy Transfer. International Commission on Radiation Units and Measurements, Washington, DC. (1970).
• [27] H.G. Paretzke, GSF-Bericht, Neuherberg, 24/88. GSF (1988).
• [28] S. M. Pimblott, L. D. A. Siebbeles, Nucl. Instrum. Methods. B, 194, 237 (2002).
• [29] A. Akkerman, E. Akkerman, Journal of Applied Physics, 86, 5809 (1999).