Abstract
A robust potential wherein is embedded the crucial core-polarization interaction is used in the Regge-pole methodology to calculate low-energy electron elastic scattering total cross section for the C60 fullerene in the electron impact energy range 0.02 ≤ E ≤ 10.0 eV. The energy position of the characteristic dramatically sharp resonance appearing at the second Ramsauer–Townsend minimum of the total cross section representing stable C60− fullerene negative ion formation agrees excellently with the measured electron affinity of C60 [Huang et al., J. Chem. Phys. 140, 224315 (2014)]. The benchmarked potential and the Regge-pole methodology are then used to calculate electron elastic scattering total cross sections for selected fullerenes, from C54 through C240. The total cross sections are found to be characterized generally by Ramsauer–Townsend minima, shape resonances and dramatically sharp resonances representing long-lived states of fullerene negative ion formation. For the total cross sections of C70, C76, C78, and C84 the agreement between the energy positions of the very sharp resonances and the measured electron affinities is outstanding. Additionally, we compare our extracted energy positions of the resultant fullerene anions from our calculated total cross sections of the C86, C90 and C92 fullerenes with the estimated electron affinities ≥3.0 eV by the experiment [Boltalina et al., Rapid Commun. Mass Spectrom. 7, 1009 (1993)]. Resonance energy positions of other fullerenes, including C180 and C240 are also obtained. Most of the total cross sections presented in this paper are the first and only; our novel approach is general and should be applicable to other fullerenes as well and complex heavy atoms, such as the lanthanide atoms. We conclude with a remark on the catalytic properties of the fullerenes through their negative ions.
Graphical abstract
Similar content being viewed by others
References
K. Kasdan, W.C. Lineberger, Phys. Rev. A 10, 1658 (1974)
D.R. Bates, Adv. At. Mol. Opt. Phys. 27, 1 (1991)
C. Blondel, Phys. Scr. T 58, 31 (1995)
T. Andersen, Phys. Rep. 394, 157 (2004)
D.J. Pegg, Rep. Prog. Phys. 67, 857 (2004)
S.T. Buckman, C.W. Clark, Rev. Mod. Phys. 66, 539 (1994)
M.S. Dresselhaus, G. Dresselhaus, P.C. Eklund, in Science of fullerenes and carbon nanotubes (Academic Press, Boston, MA, 1996)
Z. Felfli, A.Z. Msezane, D. Sokolovski, Nucl. Instrum. Methods Phys. Res. B 269, 1046 (2011)
A.Z. Msezane, Z. Felfli, D. Sokolovski, J. Phys. B 41, 105201 (2008)
S. Aubin, S. Myrskog, M.H.T. Extavour, L.J. LeBlanc, D. McKay, A. Stummer, J.H. Thywissen, Nat. Phys. 2, 384 (2006)
A.Z. Msezane, Z. Felfli, D. Sokolovski, J. Phys. B 43, 201001 (2010)
O. Elhamidi, J. Pommier, R. Abouaf, J. Phys. B. 30, 4633 (1997)
M. Lezius, P. Scheier, T.D. Märk, Chem. Phys. Lett. 203, 232 (1993)
T. Jaffke, E. Illenberger, M. Lezius, S. Matejcik, D. Smith, T.D. Märk, Chem. Phys. Lett. 226, 213 (1994)
J. Huang, H.S. Carman, R.N. Compton, J. Phys. Chem. 99, 1719 (1995)
W. Jaskólski, Phys. Rep. 271, 1 (1996)
L.L. Lohr, S.M. Blinder, Chem. Phys. Lett. 198, 100 (1992)
M.J. Pushka, R.M. Nieminen, Phys. Rev. A 47, 1181 (1993)
M.Ya. Amusia, A.S. Baltenkov, B.G. Krakov, Phys. Lett. A 243, 99 (1998)
J.P. Connerade, V.K. Dolmatov, P.A. Lakshmi, S.T. Manson, J. Phys. B: At. Mol. Opt. Phys. 32, L239 (1999)
V.K. Dolmatov, A.S. Baltenkov, J.P. Connerade, S.T. Manson, Radiat. Phys. Chem. 70, 417 (2004)
E.M. Nascimento, F.V. Prudente, M.N. Guimarães, A.M. Maniero, J. Phys. B: At. Mol. Opt. Phys. 44, 015003 (2011)
C.Y. Lin, Y.K. Ho, J. Phys. B: At. Mol. Opt. Phys. 45, 145001 (2012)
A.S. Baltenkov, Phys. Lett. A 254, 203 (1999)
A.S. Baltenkov, A.Z. Msezane, Proc. Dyn. Syst. Appl. 7, 239 (2016)
M.Ya. Amusia, A.S. Baltenkov, U. Becker, Phys. Rev. A 62, 012701 (2000)
M.Ya. Amusia, A.S. Baltenkov, L.V. Chernysheva, Z. Felfli, A.Z. Msezane, J. Phys. B 38, L169 (2005)
A.S. Baltenkov, S.T. Manson, A.Z. Msezane, Phys. Rev. A 76, 042707 (2007)
M.Ya. Amusia, L.V. Chernysheva, E.Z. Liverts, Phys. Rev. A 80, 032503 (2009)
A.V. Korol, A.V. Solov’yov, J. Phys. B: At. Mol. Opt. Phys. 43, 201004 (2010)
A.S. Baltenkov, U. Becker, S.T. Manson, A.Z. Msezane, J. Phys. B 43, 115102 (2010)
M.Ya. Amusia, V.K. Dolmatov, L.V. Chernysheva, Phys. Rev. A 84, 063201 (2011)
M.E. Madjet, H.S. Chakraborty, S.T. Manson, Phys. Rev. Lett. 99, 243003 (2007)
M.E. Madjet, H.S. Chakraborty, J.M. Rost, S.T. Manson, J. Phys. B 41, 105101 (2008)
O. Frank, J.M. Rost, Chem. Phys. Lett. 271, 367 (1997)
Z. Chen, A.Z. Msezane, Phys. Rev. A 88, 043423 (2013)
Z. Chen, A.Z. Msezane, Phys. Rev. A 89, 025401 (2014)
Z. Chen, A.Z. Msezane, Eur. Phys. J. D 69, 88 (2015)
A.L.D. Kilcoyne, Phys. Rev. Lett. 105, 213001 (2010)
B. Li, G. O’Sullivan, C. Dong, J. Phys. B 46, 155203 (2013)
V.K. Dolmatov, D.A. Keating, J. Phys.: Conf. Ser. 388, 022010 (2012)
T.W. Gorczyca, M.F. Hasoglu, S.T. Manson, Phys. Rev. A 86, 033204 (2012)
R.A. Phaneuf, Phys. Rev. A 88, 053402 (2013)
M.Ya. Amusia, L.V. Chernysheva, Phys. Rev. A 89, 057401 (2014)
C. Winstead, V. McKoy, Phys. Rev. A 73, 012711 (2006)
R.R. Lucchese, F.A. Gianturco, N. Sanna, Chem. Phys. Lett. 305, 413 (1999)
F.A. Gianturco, R.R. Lucchese, N. Sanna, J. Phys. B 32, 2181 (1999)
F.A. Gianturco, R.R. Lucchese, J. Chem. Phys. 111, 6769 (1999)
F.A. Gianturco, G.Y. Kashenock, R.R. Lucchese, N. Sanna, J. Chem. Phys. 116, 2811 (2002)
N. Ipatov, V.K. Ivanov, J.M. Pacheco, W. Ekardt, J. Phys. B 31, L5119 (1998)
V.K. Dolmatov, M.B. Cooper, M.E. Hunter, J. Phys. B: At. Mol. Opt. Phys. 47, 15002 (2014)
V.K. Dolmatov, C. Bayens, M.B. Cooper, M.E. Hunter, Phys. Rev. A 91, 062703 (2015)
M.Ya. Amusia, L.V. Chernysheva, JETP 101, 503 (2015)
H. Tanaka, L. Boesten, K. Onda, O. Ohashi, J. Phys. Soc. Jpn 63, 485 (1994)
O. Elhamidi, J. Pommier, R.J. Abouaf, Int. J. Mass. Spectr. 205, 17 (2001)
A. Baltenkov, S.T. Manson, A.Z. Msezane, J. Phys. B: At. Mol. Opt. Phys. 48, 185103 (2015)
G. Schrange-Kashenock, J. Phys. B: At. Mol. Opt. Phys. 49, 185002 (2016)
L.G. Gerchikov, A.V. Solov’yov, J.-P. Connerade, W. Greiner, J. Phys. B: At. Mol. Opt. Phys. 30, 4133 (1997)
J.-P. Connerade, L.G. Gerchikov, A.N. Ipatov, A.V. Solov’yov, J. Phys. B: At. Mol. Opt. Phys. 32, 877 (1999)
L.G. Gerchikov, A.N. Ipatov, A.V. Solov’yov, J. Phys. B: At. Mol. Opt. Phys. 30, 5939 (1997)
A.N. Ipatov, J.-P. Connerade, L.G. Gerchikov, A.V. Solov’yov, J. Phys. B: At. Mol. Opt. Phys. 31, L27 (1998)
J.-P. Connerade, L.G. Gerchikov, A.N. Ipatov, S. Sentürk, J. Phys. B: At. Mol. Opt. Phys. 33, 5109 (2000)
V.K. Ivanov, J. Phys. B: At. Mol. Opt. Phys. 32, R67 (1999)
A.N. Ipatov, V.K. Ivanov, B.D. Agap’ev, W. Ekardt, J. Phys. B 31, 925 (1998)
P. Descourt, M. Farine, C. Guet, J. Phys. B: At. Mol. Opt. Phys. 33, 4565 (2000)
S.C. Frautschi, in Regge poles and S-matrix theory (Benjamin, New York, 1963), chapter X
V. de Alfaro, T. Regge, Potential scattering (Amsterdam, North-Holland, 1995)
Z. Felfli, A.Z. Msezane, D. Sokolovski, Phys. Rev. A 79, 012714 (2009)
K.W. Thylwe, Eur. Phys. J. D 66, 7 (2012)
H.P. Mulholland, Proc. Camb. Philos. Soc. (Lond.) 24, 280 (1928)
J.H. Macek, P.S. Krstic, S.Y. Ovchinnikov, Phys. Rev. Lett. 93, 183202 (2004)
D. Sokolovski, Z. Felfli, S.Y. Ovchinnikov, J.H. Macek, A.Z. Msezane, Phys. Rev. A 76, 012705 (2007)
E.H. Lieb, B. Simon, Adv. Math. 23, 22 (1977)
E.H. Lieb, Rev. Mod. Phys. 48, 553 (1976)
C.C. Tisdell, M. Holzer, Differ. Equ. Appl. 7, 27 (2015)
L.H. Thomas, Philos. Soc. 23, 542 (1928)
E. Fermi, Z. Phys. 48, 73 (1928)
L.D. Landau, E.M. Lifshitz, Quantum mechanics: non-relativistic theory, 3rd edn. (Butterworth-Heinemann, Oxford, 1999), Vol. 3, p. 277
S. Esposito, Am. J. Phys. 70, 851 (2002)
L.N. Epele, H. Fanchiotti, C.A. García Canal, J.A. Ponciano, Phys. Rev. A 60, 280 (1999)
Z. Felfli, S. Belov, N.B. Avdonina, M. Marletta, A.Z. Msezane, S.N. Naboko, in Proceedings of the Third International Workshop on Contemporary Problems in Mathematical Physics, J. Govaerts, M.N. Hounkonnou, A.Z. Msezane, eds. (World Scientific, Singapore, 2004), pp. 218–232
T. Tietz, Z. Naturforsch 26a, 1054 (1971)
S. Belov, N.B. Avdonina, M. Marletta, A.Z. Msezane, S.N. Naboko, J. Phys. A 37, 6943 (2004)
N.B. Avdonina, S. Belov, Z. Felfli, A.Z. Msezane, S.N. Naboko, Phys. Rev. A 66, 022713 (2002)
S. Belov, K.-E. Thylwe, M. Marletta, A.Z. Msezane, S.N. Naboko, J. Phys. A 43, 365301 (2010)
K.-E. Thylwe, P. McCabe, Eur. Phys. J. D 68, 323 (2014)
P.G. Burke, C. Tate, Comput. Phys. Commun. 1, 97 (1969)
J.N.L. Connor, J. Chem. Soc. Faraday Trans. 86, 1627 (1990)
W.R. Johnson, C. Guet, Phys. Rev. A 49, 1041 (1994)
L.-S. Wang, J.J. Conceicao, C.M. Jin, R.E. Smalley, Chem. Phys. Lett. 182, 5 (1991)
D.-L. Huang, P.D. Dau, H.-T. Liu, L.-S. Wang, J. Chem. Phys. 140, 224315 (2014)
C. Brink, L.H. Andersen, P. Hvelplund, D. Mathur, J.D. Voldstad, Chem. Phys. Lett. 233, 52 (1995)
X.-B. Wang, C.-F. Ding, L.-S. Wang, J. Chem. Phys. 110, 8217 (1999)
X.B. Wang, H.K. Woo, L.S. Wang, J. Chem. Phys. 123, 051106 (2005)
O.V. Boltalina, L.N. Sidorov, E.V. Sukhanova, E.V. Skokan, Rapid Commun. Mass Spectrom. 7, 1009 (1993)
X.-B. Wang, H.-K. Woo, J. Yang, M.M. Kappes, L.S. Wang, J. Phys. Chem. C 111, 17684 (2007)
O.V. Boltalina, E.V. Dashkova, L.N. Sidorov, Chem. Phys. Lett. 256, 253 (1996)
O.V. Boltalina, I.N. Ioffe, I.D. Sorokin, L.N. Sidorov, J. Phys. Chem. A 101, 9561 (1997)
L. Xu, W. Cai, X. Shao, Comput. Mater. Sci. 41, 522 (2008)
X.B. Wang, H.K. Woo, X. Huang, M.M. Kappes, L.S. Wang, Phys. Rev. Lett. 96, 143002 (2006)
J.M. Cabrera-Trujillo, J.A. Alonso, M.P. Iniguez, M.J. López, A. Rubio, Phys. Rev. B 53, 16059 (1996)
R.J. Tarento, P. Joyes, Z. Phys. D 37, 165 (1996)
J.K. Edwards, A.F. Carley, A.A. Herzing, C.J. Kiely, G.J. Hutchings, J. Chem. Soc. Faraday Discuss. 138, 225 (2008)
J.K. Edwards, B. Solsona, P. Landon, A.F. Carley, A. Herzing, M. Watanabe, C.J. Kiely, G.J. Hutchings, J. Mater. Chem. 15, 4595 (2005)
S.J. Freakley, Science 351, 959 (2016)
Z. Felfli, A.Z. Msezane, J. Phys. Conf. Ser. 875, 062011 (2017)
E.T. Hoke, Adv. Energy Mater. 2, 1351 (2012)
V.G. Zakrzewski, O. Dolgounitcheva, J.V. Ortiz, J. Phys. Chem. A 118, 7424 (2014)
S. Nagase, K. Kabayashi, Chem. Phys. Lett. 228, 106 (1999)
Author information
Authors and Affiliations
Corresponding author
Additional information
Contribution to the Topical Issue “Low Energy Positron and Electron Interactions”, edited by James Sullivan, Ron White, Michael Bromley, Ilya Fabrikant, and David Cassidy.
Rights and permissions
About this article
Cite this article
Felfli, Z., Msezane, A.Z. Simple method for determining fullerene negative ion formation. Eur. Phys. J. D 72, 78 (2018). https://doi.org/10.1140/epjd/e2018-80420-9
Received:
Revised:
Published:
DOI: https://doi.org/10.1140/epjd/e2018-80420-9