An analytic formula for the extrapolated range of electrons in condensed materials

Nuclear Instruments and Methods in Physics Research, Section B: Beam Interactions with Materials and Atoms

Volumn 119, Issue 4, 1996, Pages 463-470

  Tabata, Tatsuo ^a   Andreo, Pedro ^b   Shinoda, Kunihiko ^c,d  

^a Osaka Prefecture University   (Japan)

^b INTERNATIONAL ATOMIC ENERGY AGENCY   (Austria)

^c SETSUNAN UNIVERSITY   (Japan)

^d Non Destructive Inspection CoLtd   (Japan)

Author keywords

Analytic formula; Continuous slowing down approximation range; Curve fitting; Electron; Extrapolated range; Semi infinite medium

Indexed keywords

APPROXIMATION THEORY; MATHEMATICAL MODELS; MONTE CARLO METHODS;

ANALYTICAL FORMULAE; CONTINUOUS-SLOWING-DOWN APPROXIMATION; EXTRAPOLATION; SEMI-INFINITE MEDIUM;

ELECTRON BEAMS;

EID: 0030397682     PISSN: 0168583X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0168-583X(96)00687-8     Document Type: Article

References (37)

1. T. Tabata, R. Ito, S. Okabe and Y. Fujita, Japan. J. Appl. Phys. 10 (1971) 1503.
2. T. Tabata, P. Andreo, K. Shinoda and R. Ito, Nucl. Instr. and Meth. B 95 (1995) 289.
3. B.B. Sorcini, P. Andreo, A.F. Bielajew, S. Hyödynmaa and A. Brahme, Phys. Med. Biol. 40 (1995) 1135.
4. J.M. Fernández-Varea, P. Andreo and T. Tabata, Phys. Med. Biol. 41 (1996) 1119.
5. T. Tabata, R. Ito and S. Okabe, Nucl. Instr. and Meth. 103 (1972) 85.
6. T. Tabata and R. Ito, Nucl. Instr. and Meth. 127 (1975) 429.
7. T. Tabata and R. Ito, Nucl. Sci. and Eng. 53 (1974) 226.
8. J.A. Halbleib, R.P. Kensek, G. Valdez, S.M. Seltzer and M.J. Berger, IEEE Trans. Nucl. Sci. 39 (1992) 1025.
9. J.A. Halbleib, R.P. Kensek, T.A. Mehlhorn, G. Valdez, S.M. Seltzer and M.J. Berger, ITS Version 3.0: The Integrated TIGER Series of Coupled Electron/Photon Monte Carlo Transport Codes, Sandia Nat. Labs. Report SAND91-1634 (1992).
10. T. Tabata, R. Ito, S. Okabe and Y. Fujita, J. Appl. Phys. 42 (1971) 3361.
11. International Commission on Radiation Units and Measurements, Stopping Powers for Electrons and Positrons, ICRU Report 37 (1984).
12. S.M. Seltzer, Electron and Positron Stopping Powers of Materials Database Version 2.0, NIST Standard Reference Database 7 (1989).
13. M.J. Berger, ESTAR, PSTAR, ASTAR: A PC Package for Calculating Stopping Powers and Ranges of Electrons, Protons and Helium Ions, IAEA Report IAEA-NDS-144 (1993).
14. K.-H. Weber, Nucl. Instr. and Meth. 25 (1964) 261.
15. I.K. Vzorov, Range-Energy Relation for High Energy Electron Beams, Joint Inst. Nucl. Res. (Dubna) Report JINR-P1-4529 (1969).
16. J.W. Watts and M.O. Burrell, Electron and Bremsstrahlung Penetration and Dose Calculation, NASA Tech. Note NASA TN D-6385 (1971).
17. R. Ito, T. Tabata and S. Okabe, Ann. Rep. Radiat. Center Osaka Prefect. 12 (1971) 49.
18. T. Mukoyama, Nucl. Instr. and Meth. 134 (1976) 125.
19. M.D. Matthews, Radiat. Eff. 51 (1980) 209.
20. S.K. Gupta and D.K. Gupta, Japan. J. Appl. Phys. 19 (1980) 1.
21. S.K. Gupta and D.K. Gupta, J. Appl. Phys. 52 (1981) 1175.
22. M.L. Gol'din and V.D. Tkachenko, Atomnaya Energ. 52 (1982) 134.
23. T. Tabata, K. Shinoda and R. Ito, Bull. Univ. Osaka Pref. A 43 (1994) 77.
24. International Commission on Radiation Units and Measurements, Stopping Powers and Ranges for Protons and Alpha Particles, ICRU Report 49 (1993).
25. B.F.J. Schonland, Proc. Roy. Soc. (London) A 104 (1923) 235.
26. B.F.J. Schonland, Proc. Roy. Soc. (London) A 108 (1925) 187.
27. R.O. Lane and D.J. Zaffarano, Phys. Rev. 94 (1954) 960.
28. I.R. Kanicheva and V.V. Burtsev, Fiz. Tverd. Tela 1 (1959) 1250 [English transl. Soviet Phys. Solid State 1 (1960) 1146].
29. I.R. Kanicheva and V.V. Burtsev, Fiz. Tverd. Tela 1 (1959) 1250 [English transl. Soviet Phys. Solid State 1 (1960) 1146].
30. H. Kanter and E.J. Sternglass, Phys. Rev. 126 (1962) 620.
31. V.E. Cosslett and R.N. Thomas, Brit. J. Appl. Phys. 15 (1964) 1283.
32. T. Tabata, P. Andreo and R. Ito, At. Data Nucl. Data Tabl. 56 (1994) 105.
33. H. Paul and M.J. Berger, Atomic and Molecular Data for Radiotherapy and Radiation Research, IAEA Report IAEA-TECDOC-799 (1995) p. 415.
34. L.V. Spencer, Phys. Rev. 98 (1955) 1597.
35. T. Tabata and R. Ito, Japan. J. Appl. Phys. 20 (1981) 249.
36. D. Harder, in: Proc. 2nd Symp. on Microdosimetry, ed. H.G. Ebert (Euratom, Brussels, 1970) p. 567.
37. T. Tabata, R. Ito and S. Okabe, Nucl. Instr. and Meth. 94 (1971) 509.