Abstract
This chapter collects together the formulae, expressions, and specific equations that cover various aspects, approximations, and approaches to electron–ion, ion–ion and neutral–neutral recombination processes. The primary focus is on recombination processes in the gas phase, both at thermal energies and in ultracold regimes.
Recombination processes are ubiquitous in nature. These reactions occur in a wide variety of applications and are an important formation or loss mechanism of atoms and molecules. To illustrate the types of problems where recombination is important, we enumerate six broad areas in which recombination processes occur: (a) collisional-radiative recombination processes, involving hydrogen and helium, which are important in understanding the cosmic microwave background in cosmology 1 ; 2 ; 3 ; (b) radio recombination lines involving electrons and ions, which are central to understanding the observed spectra from interstellar clouds and planetary nebulae 4 ; 5 ; (c) recombination processes, involving electrons and holes are important in semiconductors 6 ; 7 ; (d) electron–ion and ion–ion recombination processes, which are important in understanding the properties of plasmas, whether they are in the upper atmosphere, the solar corona, or industrial reactors on earth 8 ; 9 ; 10 ; (e) atom–molecule recombination involving oxygen, which are important mechanism for forming ozone 11 ; and, finally, (f) three-body recombination processes, involving neutral bosons, which are an important loss mechanism in ultracold Rydberg atom collisions, leading to the depletion of the Bose Einstein condensate (BEC) 12 ; 13 ; 14 .
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Fendt, A.: Astrophys. J. Supp. Ser. 181, 627 (2009)
Bernstein, J.: Kinetic theory in the expanding universe. Cambridge Univ. Press, Cambridge (1988). Chap. 8
Forrey, R.C.: Phys. Rev. A 88, 052709 (2013)
Gordon, M.A., Sorochenko, R.L.: Radio Recombination Lines. 25 Years of Investigation. Kluwer, New York (1990)
Gordon, M.A., Sorochenko, R.L.: Radio Recombination Lines: Their Physics and Astronomical Applications. Kluwer, New York (2002)
Landsberg, P.T.: Recombination in Semiconductors. Cambridge Univ. Press, Cambridge (1991)
Lakhwani, G., Rao, A., Friend, R.H.: Ann. Rev. Phys. Chem. 65, 557–581 (2014)
Del Zanna, G., Mason, H.E.: Liv. Rev. Solar Phys. 15, 1–278 (2018)
Badnell, N.R., Del Zanna, G., Fernández-Menchero, L., Giunta, A.S., Liang, G.Y., Mason, H.E., Storey, P.J.: J. Phys. B. At. Mol. Opt. Phys. 49, 094001 (2016)
Adamovich, et al.: J. Phys. D 50, 323001 (2017)
Schinke, R., Grebenshchikov, S.Y., Ivanov, M.V., Fleurat-Lessard, P.: Ann. Rev. Phys. Chem. 57, 625–661 (2006)
Burt, E.A., Ghrist, R.W., Myatt, C.J., Holland, M.J., Cornell, E.A., Wieman, C.E.: Phys. Rev. Lett. 79, 337 (1997)
Nielsen, E., Macek, J.H.: Phys. Rev. Lett. 83, 1566 (1999)
Ticknor, C., Rittenhouse, S.T.: Phys. Rev. Lett. 105, 013201 (2010)
Truhlar, D.G., Wyatt, R.E.: Ann. Rev. Phys. Chem. 27(1), 1–43 (1976)
Baer, M.: Theory of Chemical Reaction Dynamics vol. 1-4. CRC Press, Boca Raton, FL (1985)
Levine, R.D., Bernstein, R.B.: Molecular Reaction Dynamics and Chemical Reactivity. Oxford, New York (1987)
Butler, L.J.: Ann. Rev. Phys. Chem. 49, 125–171 (1998)
Greene, S.M., Shan, X., Clary, D.C.: Adv. Chem. Phys. 163, 117–149 (2018)
Greene, C.H., Giannakeas, P., Perez-Rios, J.: Rev. Mod. Phys. 89, 035006 (2017)
Marcassa, L.G., Shaffer, J.P.: Adv. At. Mol. Opt. Phys. 63, 47–133 (2014)
Scholes, G.D.: Ann. Rev. Phys. Chem. 54, 57–87 (2003)
Flannery, M.R., Vrinceanu, D.: In: Oks, E., Pindzola, M.S. (eds.) Atomic Processes in Plasmas, pp. 317–333. American Institute of Physics, New York (1998)
Petrov, D.S., Werner, F.: Phys. Rev. A 92, 022704 (2015)
Naidon, P., Endo, S.: Rep. Prog. Phys. 80, 056001 (2017)
Braaten, E., Hammer, H.-W.: Phys. Rep. 428, 259–390 (2006)
Mehta, N.P., Rittenhouse, S.T., D'Incao, J.P., von Stecher, J., Greene, C.H.: Phys. Rev. Lett. 103, 153201 (2009)
Ferlaino, F., Knoop, S., Berninger, M., Harm, W., D'Incao, J.P., Nägerl, H.-C., Grimm, R.: Phys. Rev. Lett. 102, 140401 (2009)
Ralchenko, Y.: Modern Methods in Collisional-Radiative Modeling of Plasmas. Springer, New York (2016)
Stevefelt, J., Boulmer, J., Delpech, J.-F.: Phys. Rev. A 12, 1246 (1975)
Deloche, R., Monchicourt, P., Cheret, M., Lambert, F.: Phys. Rev. A 13, 1140 (1976)
Mansbach, P., Keck, J.: Phys. Rev. 181, 275 (1965)
Pitaevskii, L.P.: Sov. Phys. JETP 15, 919 (1962)
Kramers, H.A.: Philos. Mag. 46, 836 (1923)
Braaten, E., Kusunoki, M., Zhang, D.: Ann. Phys. 323, 1770–1815 (2008)
Salomon, C., Shlyapnikov, G.V., Cugliandolo, L.F.: Many-Body Physics with Ultracold Gases. Oxford Univ. Press, Oxford (2013). Chap. 3
Bedaque, P.F., Braaten, E., Hammer, H.-W.: Phys. Rev. Lett. 85, 908 (2000)
Braaten, E., Hammer, H.-W.: Phys. Rev. A 67, 042706 (2003)
Efimov, V.: Phys. Lett. 33B, 563 (1970)
Efimov, V.: Sov. J. Nucl. Phys. 12, 589 (1971)
Braaten, E., Hammer, H.-W.: Ann. Phys. 322, 120–163 (2007)
Avery, J.: Hyperspherical Harmonics: Applications in Quantum Theory. Kluwer, Norwell (1989)
Bhardwaj, S., Son, S.-K., Hong, K.-H., Lai, C.-J., Kärtner, F., Santra, R.: Phys. Rev. A 88, 053405 (2013)
Bates, D.R.: Phys. Rev. 78, 492 (1950)
Bardsley, J.N.: J. Phys. A Proc. Phys. Soc. 1, 365 (1968)
Flannery, M.R.: In: Schultz, D.R., Strayer, M.R., Macek, J.H. (eds.) Atomic Collisions: A Symposium in Honor of Christopher Bottcher, pp. 53–75. American Institute of Physics, New York (1995)
Giusti, A.: J. Phys. B 13, 3867 (1980)
van der Donk, P., Yousif, F.B., Mitchell, J.B.A., Hickman, A.P.: Phys. Rev. Lett. 68, 2252 (1992)
Guberman, S.L.: Phys. Rev. A 49, R4277 (1994)
Flannery, M.R.: Int. J. Mass. Spectrom. Ion. Process. 149/150, 597 (1995)
Tashiro, M., Kato, S.: In: Guberman, S.L. (ed.) Dissociative Recombination of Molecular Ions with Electrons, pp. 243–248. Kluwer, Norwell (2003)
Florescu-Mitchell, A.I., Mitchell, J.B.A.: Phys. Rep. 430, 277–374 (2006)
Johnsen, R., Guberman, S.L.: Adv. At. Mol. Opt. Phys. 59, 76–128 (2010)
Flannery, M.R.: J. Chem. Phys. 95, 8205 (1991)
Burgess, A.: Mon. Not. R. Astron. Soc. 118, 477 (1958)
Gaunt, J.A.: Philos. Trans. R. Soc. A 229, 163 (1930)
Seaton, M.J.: Mon. Not. R. Astron. Soc. 119, 81 (1959)
Rozsnyai, B.F., Jacobs, V.L.: Astrophys. J. 327, 485 (1988)
Flower, D.R., Seaton, M.J.: Comp. Phys. Commun. 1, 31 (1969)
Martin, P.G.: Astrophys. J. Supp. Ser. 66, 125 (1988)
Fontes, C.J., Zhang, H.L., Abdallah Jr, J., Clark, R.E.H., Kilcrease, D.P., Colgan, J., Cunningham, R.T., Hakel, P., Magee, N.H., Sherrill, M.E.: J. Phys. B. At. Mol. Opt. Phys. 48, 144014 (2015)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2023 Springer Nature Switzerland AG
About this chapter
Cite this chapter
Mansky II, E.J., Flannery, M.R. (2023). Electron–Ion, Ion–Ion, and Neutral–Neutral Recombination Processes. In: Drake, G.W.F. (eds) Springer Handbook of Atomic, Molecular, and Optical Physics. Springer Handbooks. Springer, Cham. https://doi.org/10.1007/978-3-030-73893-8_58
Download citation
DOI: https://doi.org/10.1007/978-3-030-73893-8_58
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-73892-1
Online ISBN: 978-3-030-73893-8
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)