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Montanari, C.C.; Archubi, C.D.; Mitnik, D.M.; Miraglia, J.E. "Energy loss of protons in Au, Pb, and Bi using relativistic wave functions" (2009) Physical Review A - Atomic, Molecular, and Optical Physics. 79(3)
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Abstract:

We present a theoretical study on proton energy loss in solid targets of atomic number greater than 54. Fully relativistic wave functions and binding energies are obtained by solving numerically the Dirac equation. Ab initio calculations are developed for the first (stopping) and second (straggling) moments of the energy transferred from the ion to the target electrons. The shellwise local plasma approximation is employed for the inner shells, and the Mermin dielectric function is employed for the valence electrons. The dielectric response of each subshell is calculated separately, including in this way the screening among the electrons of the same binding energy. Results for stopping and straggling cross sections of protons in Au, Pb, and Bi are compared with the available experimental data. The theoretical stopping results are very good in the case of Au, reproducing the experimental data in an extensive energy region (10 keV-100 MeV). For Pb and Bi, the stopping results agree with the measurements for energies above 300 keV, for which the inner shells play a major role. However, we found some difficulties around the stopping maximum. For the energy-loss straggling, we obtained reasonably good agreement with the experiments for the three targets studied. © 2009 The American Physical Society.

Registro:

Documento: Artículo
Título:Energy loss of protons in Au, Pb, and Bi using relativistic wave functions
Autor:Montanari, C.C.; Archubi, C.D.; Mitnik, D.M.; Miraglia, J.E.
Filiación:Instituto de Astronomía y Física Del Espacio, Casilla de Correo 67, Sucursal 28, C1428EGA Buenos Aires, Argentina
Departamento de Física, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Buenos Aires, Argentina
Palabras clave:Ab-initio calculations; Atomic numbers; Cross sections; Dielectric functions; Dielectric response; Dirac equations; Energy loss; Energy regions; Experimental datum; Inner shells; Proton energy loss; Solid targets; Target electrons; Theoretical studies; Valence electrons; Atoms; Binding sites; Carbon nanotubes; Electron energy loss spectroscopy; Energy dissipation; Lead; Lead alloys; Linear equations; Nuclear energy; Potential energy; Protons; Targets; Wave functions; Binding energy
Año:2009
Volumen:79
Número:3
DOI: http://dx.doi.org/10.1103/PhysRevA.79.032903
Título revista:Physical Review A - Atomic, Molecular, and Optical Physics
Título revista abreviado:Phys Rev A
ISSN:10502947
CODEN:PLRAA
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10502947_v79_n3_p_Montanari

Referencias:

  • Paul, H., (2007) Nucl. Instrum. Methods Phys. Res. B, 261, p. 1176. , 10.1016/j.nimb.2007.04.113
  • (2005) ICRU Report No. 73, , International Commission on Radiation Units and Measurements, Bethesda, MD (Oxford Univ. Press, Oxford)
  • (1993) ICRU Report No. 49, , International Commission on Radiation Units and Measurements, Bethesda, MD (Bethesda, MD)
  • Paul, H., http://www.exphys.uni-linz.ac.at/stopping/; Ziegler, J.F., http://www.srim.org; Paul, H., Schinner, A., (2003) At. Data Nucl. Data Tables, 85, p. 377. , 10.1016/j.adt.2003.08.003
  • Andersen, H.H., Ziegler, J.F., (1977) Hydrogen Stopping Powers and Ranges in All Elements, , Pergamon, New York
  • Ziegler, J.F., Biersack, J.P., Ziegler, M.D., (2008) SRIM the Stopping and Range of Ions in Matter, , SRIM Co., Chester, MD
  • Hubert, F., Bimbot, R., Gauvin, H., (1990) At. Data Nucl. Data Tables, 46, p. 1. , 10.1016/0092-640X(90)90001-Z
  • Grande, P.L., Schiwietz, G., (2004) Advances in Quantum Chemistry, 45, p. 7. , edited by J. Sabin (Elsevier, New York
  • Arista, N.R., Lifschitz, A.F., (2004) Advances in Quantum Chemistry, 45, p. 47. , edited by J. Sabin (Elsevier
  • Sigmund, P., Schinner, A., (2002) Nucl. Instrum. Methods Phys. Res. B, 195, p. 64. , 10.1016/S0168-583X(01)01162-4
  • Heredia-Avalos, S., Moreno-Marin, J.C., Abril, I., Garcia-Molina, R., (2005) Nucl. Instrum. Methods Phys. Res. B, 230, p. 118. , 10.1016/j.nimb.2004.12.028
  • Montanari, C.C., Miraglia, J.E., (2006) Phys. Rev. A, 73, p. 024901. , 10.1103/PhysRevA.73.024901
  • Maynard, G., Sarrazin, M., Katsonis, K., Dimitriou, K., (2002) Nucl. Instrum. Methods Phys. Res. B, 193, p. 20. , 10.1016/S0168-583X(02)00721-8
  • Garcia, A.J., Miraglia, J.E., (2006) Phys. Rev. A, 74, p. 012902. , 10.1103/PhysRevA.74.012902
  • Archubi, C.D., Montanari, C.C., Miraglia, J.E., (2007) J. Phys. B, 40, p. 943. , 10.1088/0953-4075/40/5/010
  • Montanari, C.C., Miraglia, J.E., Behar, M., Duarte, P.F., Arista, N.R., Eckardt, J.C., Lantschner, G.H., (2008) Phys. Rev. A, 77, p. 042901. , 10.1103/PhysRevA.77.042901
  • Lindhard, J., Scharff, M., (1953) Mat. Fys. Medd. K. Dan. Vidensk. Selsk., 27, p. 1
  • Bonderup, E., (1967) Mat. Fys. Medd. K. Dan. Vidensk. Selsk., 35, p. 17
  • Chu, W.K., Powers, D., (1972) Phys. Lett. A, 40, p. 23. , 10.1016/0375-9601(72)90181-8
  • Kwei, C.M., Lin, T.L., Tung, C.J., (1988) J. Phys. B, 21, p. 2901. , 10.1088/0953-4075/21/16/015
  • Wang, Y.N., Ma, T.C., (1994) Phys. Rev. A, 50, p. 3192. , 10.1103/PhysRevA.50.3192
  • Fuhr, J.D., Ponce, V.H., García De Abajo, F.J., Echenique, P.M., (1998) Phys. Rev. B, 57, p. 9329. , 10.1103/PhysRevB.57.9329
  • Levine, Z.H., Louie, S.G., (1982) Phys. Rev. B, 25, p. 6310. , 10.1103/PhysRevB.25.6310
  • Meltzer, D.E., Sabin, J.R., Trickey, S.B., (1990) Phys. Rev. A, 41, p. 220. , 10.1103/PhysRevA.41.220
  • Bunge, C.F., Barrientos, J.A., Bunge, A.V., Cogordan, J.A., (1992) Phys. Rev. A, 46, p. 3691. , 10.1103/PhysRevA.46.3691
  • Clementi, E., Roetti, C., (1974) At. Data Nucl. Data Tables, 14, p. 177. , 10.1016/S0092-640X(74)80016-1
  • Oreg, J., Goldstein, W.H., Klapisch, M., Bar-Shalom, A., (1991) Phys. Rev. A, 44, p. 1750. , 10.1103/PhysRevA.44.1750
  • Bar-Shalom, A., Klapisch, M., Oreg, J., (2001) J. Quant. Spectrosc. Radiat. Transf., 71, p. 169. , 10.1016/S0022-4073(01)00066-8
  • Grant, I.P., McKenzie, B.J., Norrington, P.H., Mayers, D.F., Pyper, N.C., (1980) Comput. Phys. Commun., 21, p. 207. , 10.1016/0010-4655(80)90041-7
  • McKenzie, B.J., Grant, I.P., McKenzie, B.J., Norrington, P.H., (1980) Comput. Phys. Commun., 21, p. 233. , 10.1016/0010-4655(80)90042-9
  • Sweezy, J., Hertel, N., Lennox, A., (2005) Radiat. Prot. Dosim., 116, p. 470. , 10.1093/rpd/nci256
  • Kin'Ya, K., Teruaki, K., Mikinori, O., (2004) Mitsui Zos. Tech. Rev., 182, p. 14
  • Bätzner, H., (1936) Ann. Phys., 25, p. 233. , 10.1002/andp.19364170307
  • Heredia-Avalos, S., Abril, I., Denton, C.D., Moreno-Marín, J.C., Garcia-Molina, R., (2007) J. Phys.: Condens. Matter, 19, p. 466205. , 10.1088/0953-8984/19/46/466205
  • Badnell, N.R., (1986) J. Phys. B, 19, p. 3827. , 10.1088/0022-3700/19/22/023
  • Badnell, N.R., Pindzola, M.S., (1989) Phys. Rev. A, 39, p. 1685. , 10.1103/PhysRevA.39.1685
  • Badnell, N.R., (1997) J. Phys. B, 30, p. 1. , 10.1088/0953-4075/30/1/005
  • Pindzola, M.S., Badnell, N.R., (1990) Phys. Rev. A, 42, p. 6526. , 10.1103/PhysRevA.42.6526
  • http://adas.phys.strath.ac.uk/manual.php, See, for example, the ADAS Manual at; Badnell, N.R., O'Mullane, M.G., Summers, H.P., Altun, Z., Bautista, M.A., Colgan, J., Gorczyca, T.W., Zatsarinny, O., (2003) Astron. Astrophys., 406, p. 1151. , 10.1051/0004-6361:20030816
  • Cowan, R.D., Griffin, D.C., (1976) J. Opt. Soc. Am., 66, p. 1010. , 10.1364/JOSA.66.001010
  • Klapisch, M., Schwob, J.L., Frankel, B.S., Oreg, J., (1977) J. Opt. Soc. Am., 67, p. 148. , 10.1364/JOSA.67.000148
  • Klapisch, M., (1971) Comput. Phys. Commun., 2, p. 239. , 10.1016/0010-4655(71)90001-4
  • Williams, G.P., (1986) Electron Binding Energies of the Elements, 170. , CRC Handbook of Chemistry and Physics 66th Edition Vol. CRC Press, Boca Raton
  • Williams, G.P., (1986) Electron Binding Energies, , X-Ray Data Booklet (Lawrence Berkeley Laboratory, Berkeley, CA
  • http://www.jlab.org/gwyn/ebindene.html, or in the web, an updated version can be found at; Lindhard, J., (1954) Mat. Fys. Medd. K. Dan. Vidensk. Selsk., 28, p. 8
  • Arista, N.R., (2006) Mat. Fys. Medd. K. Dan. Vidensk. Selsk., 52, p. 595
  • Ferrell, T.L., Ritchie, R.H., (1977) Phys. Rev. B, 16, p. 115. , 10.1103/PhysRevB.16.115
  • Müller, J., Bürgdorfer, J., (1991) Phys. Rev. A, 43, p. 6027. , 10.1103/PhysRevA.43.6027
  • Mermin, N.D., (1970) Phys. Rev. B, 1, p. 2362. , 10.1103/PhysRevB.1.2362
  • (1999) The Electronic Handbook of Optical Constants of Solids, , edited by E. D. Palik and G. Ghosh (Academic, San Diego, CA
  • Ashton, A.M., Green, G.W., (1973) J. Phys. F: Met. Phys., 3, p. 179. , 10.1088/0305-4608/3/1/030
  • Wehenkel, C., Gauthe, B., (1974) Solid State Commun., 15, p. 555. , 10.1016/0038-1098(74)91141-7
  • Isaacson, D., (1975) New York University, Doc. No. 02698, , National Auxiliary, New York
  • Martinez-Tamayo, G., Eckardt, J.C., Lantschner, G.H., Arista, N.R., (1996) Phys. Rev. A, 54, p. 3131. , 10.1103/PhysRevA.54.3131
  • Ogino, K., Kiyosawa, T., Kiuchi, T., (1988) Nucl. Instrum. Methods Phys. Res. B, 33, p. 155. , 10.1016/0168-583X(88)90535-6
  • Semrad, D., Eppacher, C., Tober, R., (1990) Nucl. Instrum. Methods Phys. Res. B, 48, p. 79. , 10.1016/0168-583X(90)90078-9
  • Sakamoto, N., Ogawa, H., Mannami, M., Kimura, K., Susuki, Y., Hasegawa, M., Hatayama, I., Ikegami, H., (1991) Radiat. Eff. Defects Solids, 117, p. 193. , 10.1080/10420159108220612
  • Eppacher, Ch., Semrad, D., (1992) Nucl. Instrum. Methods Phys. Res. B, 69, p. 33. , 10.1016/0168-583X(92)95735-A
  • Valdes, J.E., Martinez-Tamayo, G., Lantschner, G.H., Eckardt, J.C., Arista, N.R., (1993) Nucl. Instrum. Methods Phys. Res. B, 73, p. 313. , 10.1016/0168-583X(93)95744-P
  • Shiomi-Tsuda, N., Sakamoto, N., Ishiwari, R., (1994) Nucl. Instrum. Methods Phys. Res. B, 93, p. 391. , 10.1016/0168-583X(94)95624-3
  • Valdes, J.E., Agurto, C., Ortega, F., Vargas, P., Labbé, R., Arista, N.R., (2000) Nucl. Instrum. Methods Phys. Res. B, 164-165, p. 268. , 10.1016/S0168-583X(99)01090-3
  • Möller, S.P., Csete, A., Ichioka, T., Knudsen, H., Uggerhoj, U.I., Andersen, H.H., (2002) Phys. Rev. Lett., 88, p. 193201. , 10.1103/PhysRevLett.88.193201
  • Kreussler, S., Varelas, C., Sizmann, R., (1982) Phys. Rev. B, 26, p. 6099. , 10.1103/PhysRevB.26.6099
  • Santry, D.C., Werner, R.D., (1981) Nucl. Instrum. Methods Phys. Res., 188, p. 211. , 10.1016/0029-554X(81)90341-4
  • Chu, W.K., (1976) Phys. Rev. A, 13, p. 2057. , 10.1103/PhysRevA.13.2057
  • Besenbacher, F., Andersen, J.U., Bonderup, E., (1980) Nucl. Instrum. Methods, 168, p. 1. , 10.1016/0029-554X(80)91224-0
  • Eckardt, J.C., Lantschner, G.H., (2001) Nucl. Instrum. Methods Phys. Res. B, 175-177, p. 93. , 10.1016/S0168-583X(00)00623-6;
  • (2008), G. Lantschner, private communication; Kido, Y., (1986) Phys. Rev. B, 34, p. 73. , 10.1103/PhysRevB.34.73;
  • Kido, Y., (1987) Nucl. Instrum. Methods Phys. Res. B, 24-25, p. 347. , 10.1016/0168-583X(87)90658-6
  • Kido, Y., Koshikawa, T., (1991) Phys. Rev. A, 44, p. 1759. , 10.1103/PhysRevA.44.1759
  • Eckardt, J.C., Lantschner, G.H., (1994) Thin Solid Films, 249, p. 11. , 10.1016/0040-6090(94)90078-7
  • Moon, D.W., Le, H.I., Kim, K.J., Nishimura, T., Kido, Y., (2001) Nucl. Instrum. Methods Phys. Res. B, 183, p. 10. , 10.1016/S0168-583X(01)00636-X
  • Arbó, D.G., Gravielle, M.S., Miraglia, J.E., Eckardt, J.C., Lantschner, G.H., Famá, M., Arista, N.R., (2002) Phys. Rev. A, 65, p. 042901. , 10.1103/PhysRevA.65.042901
  • Tosaki, M., (2006) J. Appl. Phys., 99, p. 034905. , 10.1063/1.2168299
  • Andersen, H.H., (2002) Nucl. Instrum. Methods Phys. Res. B, 194, p. 217. , 10.1016/S0168-583X(02)00692-4
  • Möller, S.P., (2008) Eur. Phys. J. D, 46, p. 89. , 10.1140/epjd/e2007-00314-3
  • Alberts, H.W., Malherbe, J.B., (1983) Radiat. Eff., 69, p. 231. , 10.1080/00337578308217825
  • Bohr, N., (1915) Philos. Mag., 30, p. 581
  • Livingston, M.S., Bethe, H.A., (1937) Rev. Mod. Phys., 9, p. 245. , 10.1103/RevModPhys.9.245
  • Sigmund, P., Schinner, A., (2003) Eur. Phys. J. D, 23, p. 201. , 10.1140/epjd/e2003-00032-x
  • Bader, M., Pixley, R.E., Mozer, F.S., Whaling, W., (1956) Phys. Rev., 103, p. 32. , 10.1103/PhysRev.103.32
  • Sirotinin, E.I., Tulinov, A.F., Khodyrev, V.A., Mizgulin, V.N., (1984) Nucl. Instrum. Methods Phys. Res. B, 4, p. 337. , 10.1016/0168-583X(84)90577-9
  • Bichsel, H., Hiraoka, T., (1992) Nucl. Instrum. Methods Phys. Res. B, 66, p. 345. , 10.1016/0168-583X(92)95995-4
  • Sakamoto, N., Shiomi, N., Ogawa, H., Ishiwari, R., (1986) Nucl. Instrum. Methods Phys. Res. B, 13, p. 115. , 10.1016/0168-583X(86)90485-4
  • Ishiwari, R., Shiomi-Tsuda, N., Sakamoto, N., (1984) Nucl. Instrum. Methods Phys. Res. B, 2, p. 141. , 10.1016/0168-583X(84)90174-5
  • Sörensen, H., Andersen, H.H., (1973) Phys. Rev. B, 8, p. 1854. , 10.1103/PhysRevB.8.1854
  • Sirotinin, E.I., Tulinov, A.F., Fiderkevich, A., Shyshkin, K.S., (1972) Radiat. Eff., 15, p. 149. , 10.1080/00337577208234688
  • Green, D.W., Cooper, J.N., Harris, J.C., (1955) Phys. Rev., 98, p. 466. , 10.1103/PhysRev.98.466
  • Nagy, I., Arnau, A., Echenique, P.M., Zaremba, E., (1989) Phys. Rev. B, 40, p. 11983. , 10.1103/PhysRevB.40.11983
  • Malherbe, J.B., Alberts, H.W., (1982) Nucl. Instrum. Methods Phys. Res., 196, p. 499. , 10.1016/0029-554X(82)90121-5
  • Eppacher, Ch., (1995), Ph.D. thesis, University of Linz; Krist, Th., Mertens, P., (1983) Nucl. Instrum. Methods Phys. Res., 218, p. 790. , 10.1016/0167-5087(83)91084-0;
  • Krist, Th., Mertens, P., (1983) Nucl. Instrum. Methods Phys. Res., 218, p. 821. , 10.1016/0167-5087(83)91090-6
  • Eckardt, J.C., (1978) Phys. Rev. A, 18, p. 426. , 10.1103/PhysRevA.18.426
  • Arkhipov, E.P., Gott Yu., V., (1969) Sov. Phys. JETP, 29, p. 615

Citas:

---------- APA ----------
Montanari, C.C., Archubi, C.D., Mitnik, D.M. & Miraglia, J.E. (2009) . Energy loss of protons in Au, Pb, and Bi using relativistic wave functions. Physical Review A - Atomic, Molecular, and Optical Physics, 79(3).
http://dx.doi.org/10.1103/PhysRevA.79.032903
---------- CHICAGO ----------
Montanari, C.C., Archubi, C.D., Mitnik, D.M., Miraglia, J.E. "Energy loss of protons in Au, Pb, and Bi using relativistic wave functions" . Physical Review A - Atomic, Molecular, and Optical Physics 79, no. 3 (2009).
http://dx.doi.org/10.1103/PhysRevA.79.032903
---------- MLA ----------
Montanari, C.C., Archubi, C.D., Mitnik, D.M., Miraglia, J.E. "Energy loss of protons in Au, Pb, and Bi using relativistic wave functions" . Physical Review A - Atomic, Molecular, and Optical Physics, vol. 79, no. 3, 2009.
http://dx.doi.org/10.1103/PhysRevA.79.032903
---------- VANCOUVER ----------
Montanari, C.C., Archubi, C.D., Mitnik, D.M., Miraglia, J.E. Energy loss of protons in Au, Pb, and Bi using relativistic wave functions. Phys Rev A. 2009;79(3).
http://dx.doi.org/10.1103/PhysRevA.79.032903