Abstract
Reliable cross-sections for electron-molecule collisions are urgently needed for numerical modeling of various processes important from technological point of view. Unfortunately, a significant progress in theory and experiment over the last decade is not usually accompanied by the convergence of cross-sections measured at different laboratories and calculated with different methods. Moreover the most advanced contemporary theories involve such large basis sets and complicated equations that they are not easily applied to each specific molecule for which data are needed. For these reasons the search for semi-empirical indications in angular and energy dependencies of scattering cross-section becomes important. In this paper we make a brief review of the applicability of the Born-dipole approximation for elastic, rotational, vibrational and ionization processes that can occur during electron-molecule collisions. We take into account the most recent experimental findings as the reference points.
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References
R.K. Janev, Atomic and Molecular Processes in Fusion Edge Plasmas (Plenum, New York, 1995)
G. Karwasz, K. Fedus, Fus. Sci. Technol. 63, 338 (2013)
W.J. Maciel, Astrophysics of the Interstellar Medium (Springer, New York, 2013)
L. Christophorou, J.K. Olthoff, Fundamental Electron Interactions with Plasma Processing Gases (Springer Science+Business Media, New York, 2004)
L. Sanche, Eur. Phys. J. D 35, 367 (2005)
M.-Y. Song, J.-S. Yoon, H. Cho, Y. Itikawa, G.P. Karwasz, V. Kokoouline, Y. Nakamura, J. Tennyson, J. Chem. Ref. Data 44, 023101 (2015)
G.P. Karwasz, A. Karbowski, Z. Idziaszek, R.S. Brusa, Nucl. Instrum. Methods B 266, 471 (2008)
K. Fedus, G.P. Karwasz, Eur. Phys. J. D 68, 93 (2014)
N.F. Mott, H.S.W. Massey, The Theory of Atomic Collisions, 3rd edn. (Clarendon Press, Oxford, 1965)
N.F. Lane, Rev. Mod. Phys. 52, 29 (1980)
H. Tanaka, M.J. Brunger, M. Campbell, H. Kato, M. Hoshino, A.R.P. Rau, Rev. Mod. Phys. 88, 025004 (2016)
H.-K. Chung, B.J. Braams, K. Bartschat, A.G. Csaszar, G.W.F. Drake, T. Kirchner, V. Kokoouline, J. Tennyson, J. Phys. D: Appl. Phys. 49, 363002 (2016)
I. Fabrikant, J. Phys. B 49, 222005 (2016)
S. Altshuler, Phys. Rev. 107, 114 (1957)
M.A. Khakoo, H. Silva, J. Muse, M.C.A. Lopes, C. Winstead, V. McKoy, Phys. Rev. A 78, 052710 (2008)
M.A. Khakoo, H. Silva, J. Muse, M.C.A. Lopes, C. Winstead, V. McKoy, Phys. Rev. A 87, 049902(E) (2013)
S.L. Shostak, W.L. Ebenstein, J.S. Muenter, J. Chem. Phys. 94, 5875 (1991)
D.R. Lide, CRC Handbook of Chemistry and Physics, 84th edn. (CRC Press, Boca Raton, FL, 2004), pp. 9–45
C. Navarro, A. Sakaamini, J. Cross, L.R. Hargreaves, M.A. Khakoo, K. Fedus, C. Winstead, V. McKoy, J. Phys. B 48, 195202 (2015)
X. Shi, V.K. Chan, G.A. Gallup, P.D. Burrow, J. Chem. Phys. 104, 1855 (1996)
K. Fedus, C. Navarro, L.R. Hargreaves, M.A. Khakoo, F.M. Silva, M.H.F. Bettega, C. Winstead, V. McKoy, Phys. Rev. A 90, 032708 (2014)
A. Gauf, C. Navarro, G. Balch, L.R. Hargreaves, M.A. Khakoo, C. Winstead, V. McKoy, Phys. Rev. A 89, 022708 (2014)
O.H. Crawford, J. Chem. Phys. 47, 1100 (1967)
L.G. Christophorou, A.A. Christodoulides, J. Phys. B 2, 71 (1969)
Y. Nakamura, Fus. Sci. Technol. 63, 378 (2013)
M. Yousfi, M.D. Benabdessadok, J. Appl. Phys. 80, 6619 (1996)
Hayashi’s cross-section from LxCat database: https://fr.lxcat.net
J.L. Pack, R.E. Voshall, A.V. Phelps, Phys. Rev. 127, 2084 (1962)
N.C. Jones, D. Field, S.L. Lunt, J.-P. Ziesel, Phys. Rev. A 78, 042714 (2008)
M.J. Kushner, D. Zhang, J. Appl. Phys. 88, 3231 (2000)
M.C. Bordage, P. Segur, Swarm determination of electron CHF3 collision cross sections, ICPIG XXV, 2001, III, 253, Nagoya (Japan)
S. Kawaguchi, K. Satoh, H. Itoh, Jpn J. Appl. Phys. 54, 01AC01 (2015)
Y. Itikawa, N. Mason, Phys. Rep. 414, 1 (2005)
Y. Itikawa, J. Phys. Soc. Jpn 30, 835 (1971)
I. Shimamura, K. Takayanagi, Electron-Molecule Collisions (Plenum Press, New York, 1984), Chap. 2
Y. Itikawa, J. Phys. Soc. Jpn 32, 217 (1972)
M. Rädle, G. Knoth, K. Jung, H. Ehrhardt, J. Phys. B 22, 1455 (1989)
M. Gote, H. Ehrhardt, J. Phys. B 28, 3957 (1995)
A. Faure, J.D. Gorfinkiel, J. Tennyson, Mon. Not. R. Astron. Soc. 347, 323 (2004)
R. Curik, J.P. Ziesel, N.C. Jones, T.A. Field, D. Field, Phys. Rev. Lett. 97, 123202 (2006)
K. Takayanagi, J. Phys. Soc. Jpn 21, 507 (1966)
Y. Itikawa, J. Phys. Soc. Jpn 36, 1121 (1974)
D.M. Bishop, L.M. Cheung, J. Phys. Chem. Ref. Data 11, 119 (1982)
J.P. Marler, G.F. Gribakin, C.M. Surko, Nucl. Instrum. Methods Phys. Res. B 247, 87 (2006)
G.P. Karwasz, R. Brusa, A. Zecca, La Revista del Nuovo Cimento 24, 1 (2001)
G.G. Raju, Gaseous Electronics: Tables, Atoms, and Molecules (CRC Press, New York, 2012), p. 435
Y. Itikawa, N. Mason, J. Phys. Chem. Ref. Data 34, 1 (2005)
Y.-K. Kim, M.E. Rudd, Phys. Rev. A 50, 3954 (1994)
N.F. Mott, Proc. R. Soc. Lond. Ser. A 126, 259 (1930)
H. Bethe, Ann. Phys. 5, 325 (1930)
Y.K. Kim, W. Hwang, N.M. Weinberger, M.A. Ali, M.E. Rudd, J. Chem. Phys. 106, 1026 (1997)
M.D. Ward, S.J. King, S.D. Price, J. Chem. Phys. 134, 024398 (2011)
G.P. Karwasz, P. Mozejko, M.-Y. Song, Int. J. Mass Spectrom. 365–366, 232 (2014)
S.J. King, S.D. Price, J. Chem. Phys. 127, 174307 (2007)
M.-Y. Song, J.-S. Yoon, H. Cho, Y. Itikawa, G.P. Karwasz, V. Kokoouline, Y. Nakamura, J. Tennyson, J. Phys. Chem. Ref. Data, submitted (2017)
Y.-K. Kim, M.A. Ali, J. Res. Natl. Inst. Stand. Technol. 102, 693 (1997)
M. Davister, R. Locht, Chem. Phys. 189, 805 (1994)
C. Tian, C. Vidal, J. Phys. B 31, 895 (1998)
S. Feil, K. Gluch, A. Bacher, S. Matt-Leubner, D.K. Böhme, P. Scheier, T.D. Märk, J. Chem. Phys. 124, 214307 (2006)
B.G. Lindsay, M.A. Mangan, in Landolt-Brönstein: Numerical Data and Functional Relationships in Science and Technology – New Series/Elementary Particles, Nuclei and Atoms; Vol. 17: Photon and Electron Interactions with Atoms, Molecules and Ions; Subvolume C: Interactions of Photons and Electrons with Molecules, edited by W. Martienssen (Springer, Berlin, Heidelberg, New York, 2003), p. 5001
C. Szmytkowski, Chem. Phys. Lett. 136, 363 (1987)
A.M. Krzysztofowicz, C. Szmytkowski, J. Phys. B 28, 1593 (1995)
M. Kimura, O. Sueoka, A. Hamada, Y. Itikawa, Adv. Chem. Phys. 111, 537 (2000)
N. Jones, D. Field, J.P. Ziesel, Int. J. Mass Spectrom. 277, 91 (2008)
A. Faure, J.D. Gorfinkiel, J. Tennyson, J. Phys. B 37, 801 (2004)
R. Zhang, A. Faure, J. Tennyson, Phys. Scr. 80, 015301 (2009)
R.S. Brusa, G.P. Karwasz, A. Zecca, Z. Phys. D 38, 279 (1996)
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Contribution to the Topical Issue “Atomic and Molecular Data and Their Applications”, edited by Gordon W.F. Drake, Jung-Sik Yoon, Daiji Kato, and Grzegorz Karwasz.
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Fedus, K., Karwasz, G.P. Electron scattering on molecules: search for semi-empirical indications. Eur. Phys. J. D 71, 138 (2017). https://doi.org/10.1140/epjd/e2017-80065-2
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DOI: https://doi.org/10.1140/epjd/e2017-80065-2