Abstract
We describe a hard sphere model of direct three-body recombination of the Cs+ and Br− ions in the presence of neutral atoms Hg, Xe, Kr, or Ar as the third bodies. Calculations are carried out for the ion approach energy and the third body energy in the range from 1 to 10 eV under the assumption of non-central approach of the ions. The calculation results include the dependences of the total recombination probability on these energies as well as the opacity functions for two impact parameters and the dependences of the recombination probability on the angles determining the mutual orientation of the velocities of the reagents. The classification of the three-body collisions according to the sequences of pairwise encounters of the particles is considered. The most widespread mechanism of energy removal from the ionic pair is a single impact of the third body with the Br− ion.
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References
D. L. Baulch, C. J. Cobos, R. A. Cox, et al., J. Phys. Chem. Ref. Data 21, 411 (1992).
R. T. Pack, R. B. Walker, and B. K. Kendrick, J. Chem. Phys. 109, 6701 (1998).
G. A. Parker, R. B. Walker, B. K. Kendrick, and R. T. Pack, J. Chem. Phys. 117, 6083 (2002).
R. T. Pack, R. B. Walker, and B. K. Kendrick, J. Chem. Phys. 109, 6714 (1998).
R. T. Pack, R. B. Walker, and B. K. Kendrick, J. Chem. Phys. 113, 1668 (2000).
F. D. Colavecchia, F. Mrugala, G. A. Parker, and R. T. Pack, J. Chem. Phys. 118, 10387 (2003).
V. M. Azriel and L. Yu. Rusin, Fiz. Khim. Kinet. Gaz. Dinam. 6 (2006). http://chemphys.edu.ru/article/36/
V. M. Azriel, D. B. Kabanov, L. I. Kolesnikova, and L. Yu. Rusin, Izv. Akad. Nauk, Energet., No. 5, 50 (2007).
V. M. Azriel and L. Yu. Rusin, Russ. J. Phys. Chem. B 2, 499 (2008).
V. M. Azriel, Doctoral Dissertation in Mathematics and Physics (Inst. Energy Problems Chemical Physics of RAS, Moscow, 2008).
D. B. Kabanov and L. Yu. Rusin, Fiz. Khim. Kinet. Gaz. Dinam. 8 (2009). http://chemphys.edu.ru/article/142/
E. V. Kolesnikova, D. B. Kabanov, and L. Yu. Rusin, Fiz. Khim. Kinet. Gaz. Dinam. 10 (2010). http://chemphys.edu.ru/article/153/
V. M. Azriel, E. V. Kolesnikova, L. Yu. Rusin, and M. B. Sevryuk, J. Phys. Chem. A 115, 7055 (2011).
D. B. Kabanov and L. Yu. Rusin, Chem. Phys. 392, 149 (2012).
D. B. Kabanov and L. Yu. Rusin, Russ. J. Phys. Chem. B 6, 475 (2012).
E. V. Kolesnikova and L. Yu. Rusin, Fiz. Khim. Kinet. Gaz. Dinam. 13 (2012). http://chemphys.edu.ru/article/274/
E. V. Kolesnikova and L. Yu. Rusin, Russ. J. Phys. Chem. B 6, 583 (2012).
V. M. Azriel, L. Yu. Rusin, and M. B. Sevryuk, Chem. Phys. 411, 26 (2013).
E. V. Ermolova, Candidate’s Dissertation in Mathematics and Physics (Inst. Energy Problems Chemical Physics of RAS named by V. L. Tal’roze, Moscow, 2013).
E. V. Ermolova and L. Yu. Rusin, Russ. J. Phys. Chem. B 8, 261 (2014).
B. H. Mahan, W. E. W. Ruska, and J. S. Winn, J. Chem. Phys. 65, 3888 (1976).
S. A. Safron, J. Phys. Chem. 89, 5713 (1985).
A. I. Maergoiz, E. E. Nikitin, and L. Yu. Rusin, in Chemistry of Plasma, No. 12, Ed. by B. M. Smirnov (Energoatomizdat, Moscow, 1985), p. 3 [in Russian].
J.-B. Song, E. A. Gislason, and M. Sizun, J. Chem. Phys. 102, 4885 (1995).
V. M. Azriel, L. Yu. Rusin, and M. B. Sevryuk, Khim. Fiz. 14(7), 28 (1995).
V. M. Azriel, L. Yu. Rusin, and M. B. Sevryuk, Chem. Phys. 199, 195 (1995).
M. B. Sevryuk, Doctoral Dissertation in Mathematics and Physics (Inst. Energy Problems Chemical Physics of RAS, Moscow, 2003).
V. M. Azriel, L. Yu. Rusin, and M. B. Sevryuk, J. Chem. Phys. 122, 074322 (2005).
J. Pérez-Ríos, S. Ragole, J. Wang, and C. H. Greene, J. Chem. Phys. 140, 044307 (2014).
P. Brumer, Phys. Rev. A 10, 1 (1974).
Chemical Encyclopedy (Bol’sh. Rossiisk. Entsiklopediya, Moscow, 1995), Vol. 4 [in Russian].
Chemical Encyclopedy (Sovetsk. Entsiklopediya, Moscow, 1990), Vol. 2 [in Russian].
Chemical Encyclopedy (Sovetsk. Entsiklopediya, Mosow, 1988), Vol. 1 [in Russian].
L. D. Landau and E. M. Lifshitz, Course of Theoretical Physics, Vol. 1: Mechanics (Fizmatlit, Moscow, 2004, 5th ed.; Pergamon Press, New York, 1988).
V. I. Arnold, V. V. Kozlov, and A. I. Neishtadt, Mathematical Aspects of Classical and Celestial Mechanics (URSS, Moscow, 2002, 2nd ed.; Springer, Berlin, 2006).
H. Pollard, Mathematical Introduction to Celestial Mechanics (Prentice-Hall, Englewood Cliffs, NJ, 1966; Inst. Komp. Issled., Izhevsk, Moscow, 2012).
M. Avendano, V. Martín-Molina, and J. Ortigas-Galindo, Celest. Mech. Dynam. Astron. 119, 27 (2014).
A. F. Aleksandrov, L. S. Bogdankevich, and A. A. Rukhadze, Principles of Plasma Electrodynamics, 2nd ed. (Vyssh. Shkola, Moscow, 1988) [in Russian].
V. E. Golant, A. P. Zhilinskii, and I. E. Sakharov, Principles of Plasma Physics, 2nd ed. (Lan’, St.-Petersburg, 2011) [in Russian].
T. G. Kolda, R. M. Lewis, and V. Torczon, SIAM Rev. 45, 385 (2003).
A. S. Rykov, System Analysis: Models and Methods of Decision Making and Search Optimization (MISiS, Moscow, 2009) [in Russian].
E. V. Kolesnikova, L. I. Kolesnikova, and L. Yu. Rusin, Fiz. Khim. Kinet. Gaz. Dinam. 10 (2010). http://chemphys.edu.ru/article/215/
T. R. Knapp, J. Mod. Appl. Stat. Methods 6, 8 (2007).
H. Cramér, Mathematical Methods of Statistics, 2nd ed. (Princeton Univ. Press, Princeton, NJ, 1999).
L. A. Kaluzhnin and V. I. Sushchanskii, Transformations and Permutations, 2nd ed. (Nauka, Moscow, 1985) [in Russian].
V. M. Azriel, D. B. Kabanov, and L. Yu. Rusin, Russ. J. Phys. Chem. B 5, 177 (2011).
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Published in Russian in Khimicheskaya Fizika, 2014, Vol. 33, No. 11, pp. 12–25.
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Ermolova, E.V., Rusin, L.Y. & Sevryuk, M.B. A hard sphere model for direct three-body recombination of heavy ions. Russ. J. Phys. Chem. B 8, 769–782 (2014). https://doi.org/10.1134/S1990793114110037
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DOI: https://doi.org/10.1134/S1990793114110037