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Reviews of topical problems


Atomic structure and the resonant charge exchange process


Joint Institute for High Temperatures, Russian Academy of Sciences, ul. Izhorskaya 13/19, Moscow, 127412, Russian Federation

Inaccuracies in the atomic shell model due to the neglect of electron correlation and some relativistic effects are examined. The asymptotic behavior of atomic valence electrons is considered, and the accuracy of the asymptotic coefficient of the electron wave function is evaluated with account for the model errors. The coupling of the electron orbital momenta and spins in atomic particles, molecules, and colliding particles is discussed. The resonant charge exchange process is analyzed in terms of the asymptotic theory, with the inverse of the typical ion-atom separation being used in the small-parameter expansion of the cross section. The influence of atomic shell model errors — via the valence electron asymptotic coefficient — on the accuracy of the charge exchange cross section is discussed. The relation between the cross section and the specifics of the moment addition law for an ion-atom collision event is elucidated. The accuracy-estimated values of cross sections for the slow-collision resonant charge exchange are given for most elements in the periodic table.

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Fulltext is also available at DOI: 10.1070/PU2001v044n03ABEH000826
PACS: 31.10.+z, 31.25.−v, 34.20.Cf, 34.70.+e (all)
DOI: 10.1070/PU2001v044n03ABEH000826
URL: https://ufn.ru/en/articles/2001/3/a/
Citation: Smirnov B M "Atomic structure and the resonant charge exchange process" Phys. Usp. 44 221–253 (2001)
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Îðèãèíàë: Ñìèðíîâ Á Ì «Còðîåíèå àòîìà è ïðîöåññ ðåçîíàíñíîé ïåðåçàðÿäêè» ÓÔÍ 171 233–266 (2001); DOI: 10.3367/UFNr.0171.200103a.0233

References (149) ↓ Cited by (78) Similar articles (20)

  1. Condon E U, Shortley G H The Theory of Atomic Spectra (Cambridge: The University Press, 1951)
  2. Bethe H A Intermediate Quantum Mechanics (New York: W A Benjamin, 1964) [Translated into Russian (Moscow: Mir, 1965)]
  3. Sobel’man I I Vvedenie v Teoriyu Atomnykh Spektrov (Moscow: Nauka, 1977) [Translated into English: Atomic Spectra and Radiative Transitions (Berlin: Springer-Verlag, 1979)]
  4. Landau L D, Lifshitz E M Kvantovaya Mekhanika (Quantum Mechanics, Moscow: Nauka, 1974) [Translated into English (Oxford: Pergamon Press, 1980)]
  5. Veselov M G, Labzovskiî L N Teoriya Atoma: Stroenie Elektronnykh Obolochek (Theory of the Atom: Structure of Electron Shells, Moscow: Nauka, 1986)
  6. Pauli W Z. Phys. 31 765 (1925)
  7. Mulliken R S Rev. Mod. Phys. 2 60 (1930)
  8. Hund F Z. Phys. 36 637 (1936)
  9. Nikitin E E Opt. Spektrosk. 22 379 (1966)
  10. Nikitin E E, Smirnov B M Usp. Fiz. Nauk 124 201 (1978) [Sov. Phys. Usp. 21 95 (1978)]
  11. Nikitin E E, Smirnov B M Atomno-Molekulyarnye Protsessy v Zadachakh s Resheniyami (Atomic and Molecular Processes in Problems with Solutions, Moscow: Nauka, 1988)
  12. Smirnov B M Zh. Eksp. Teor. Fiz. 46 1017 (1964) [Sov. Phys. JETP 19 692 (1964)]
  13. Smirnov B M Zh. Eksp. Teor. Fiz. 47 518 (1965) [Sov. Phys. JETP 20 345 (1965)]
  14. Smirnov B M Asimptoticheskie Metody v Teorii Atomnykh Stolknoveniî (Asymptotic Methods in the Theory of Atomic Collisions, Moscow: Atomizdat, 1973)
  15. Hartree D R Proc. Cambr. Phil. Soc. 24 89 (1928)
  16. Fock V A Z. Phys. 61 126 (1930)
  17. Hartree D R The Calculation of Atomic Structures (New York: J’Wiley, 1957)
  18. Smirnov B M Fizika Atoma i Iona (Physics of Atoms and Ions, Moscow: Energoatomizdat, 1986)
  19. Bashkin S, Stoner J Atomic Energy Levels and Grotrian Diagrams Vols 1-4 (Amsterdam: North-Holland, 1975-1982)
  20. Martin W C, Zalubas R J. Phys. Chem. Ref. Data 12 323 (1983)
  21. Radzig A A, Smirnov B M Reference Data on Atoms, Molecules, and Ions (Heidelberg: Springer-Verlag, 1985)
  22. Schiff L I Quantum Mechanics (New York: McGraw-Hill, 1955) [Translated into Russian (Moscow: IL, 1960)]
  23. Bethe H A, Salpeter E E Quantum Mechanics of One- and Two-Electron Atoms (Berlin: Springer-Verlag, 1957) [Translated into Russian (Moscow: Fizmatgiz, 1960)]
  24. Greiner W Quantum Mechanics (Berlin: Springer-Verlag, 1989)
  25. Fermi E Notes on Quantum Mechanics (Chicago: Univ. of Chicago Press, 1961)
  26. Hylleraas E A Z. Phys. 48 469 (1928)
  27. Hylleraas E A Z. Phys. 54 347 (1929)
  28. Chandrasekhar S, Herzberg G Phys. Rev. 98 1050 (1955)
  29. Eckardt C Phys. Rev. 36 878 (1930)
  30. Hylleraas E A, Undheim B Z. Phys. 65 759 (1930)
  31. Galitskiî V M, Karnakov B M, Kogan V I Zadachi po Kvantovoî Mekhanike (Problems of Quantum Mechanics, Moscow: Nauka, 1981)
  32. Blokhintsev D I Osnovy Kvantovoî Mekhaniki (Grounds of Quantum Mechanics, Moscow: Vysshaya Shkola, 1961)
  33. Davydov A S Kvantovaya Mekhanika (Quantum Mechanics, Moscow: Nauka, 1963) [Translated into English (Oxford: Pergamon Press, 1965)]
  34. Wiese W L, in Progress in Atomic Spectroscopy Pt. B (Eds W’Hanle, H Kleinpoppen, New York: Plenum Press, 1979) p. 1101
  35. Hylleraas E A Z. Phys. 63 291 (1930)
  36. Hylleraas E A Nordske Vidensk. Akad. Skrift., Mat.-natur Kl. (Oslo, 6, 1932); Die Grundlagen der Quantenmechanik mit Anwendungen auf atomtheoretische Ein- and Mehrelectron Probleme (Oslo, 1932)
  37. Pekeris C L Phys. Rev. 126 1470 (1962)
  38. Fock V A Izv. Akad. Nauk SSSR Ser. Fiz. 18 161 (1954)
  39. Sochilin G B Int. J. Quantum Chem. 3 297 (1969)
  40. Kellmann M E, Herrick D R J. Phys. B 11 L755 (1978)
  41. Herrick D R, Kellmann M E Phys. Rev. A 21 418 (1980)
  42. Kellmann M E, Herrick D R Phys. Rev. A 21 1536 (1980)
  43. Herrick D R, Kellmann M E, Poliak R D Phys. Rev. A 22 1517 (1980)
  44. Herrick D R Adv. Chem. Phys. 52 1 (1982)
  45. Berry R S Contemp. Phys. 30 1 (1989)
  46. Hunter J E, Berry R S Phys. Rev. A 36 3042 (1987)
  47. Hunter J E, Berry R S Phys. Rev. Lett. 59 2959 (1987)
  48. Berry R S, Krause J L Adv. Chem. Phys. 70 35 (1988)
  49. Berry R S, in Structure and Dynamics of Atoms and Molecules: Conceptual Trends (Eds J L Calais, E S Kryachko, Dordrecht: Kluwer Acad. Publ., 1995) p. 155
  50. Batka J J, Berry R S J. Phys. Chem. 97 2435 (1993)
  51. Berry R S, Ceraulo S C, Batka J, in Dimensional Scaling in Chemical Physics (Eds D R Herschbach, J Avery, O Goscinski, Dordrecht: Kluwer Acad. Publ., 1993) p. 485
  52. Hund F Linienspektren und Periodisches System der Elemente (Berlin: J Springer, 1927)
  53. Hund F Geschichte der Quantentheory (Mannheim: Bibliographishes Inst., 1975) [Translated into Russian (Kiev: Naukova Dumka, 1980)] [Translated into English: The History of Quantum Theory (New York: Barnes & Noble Books, 1974)]
  54. El’yashevich M A Usp. Fiz. Nauk 122 673 (1977) [Sov. Phys. Usp. 20 465 (1977)]
  55. Racah G Phys. Rev. 61 186 (1942); 62 438 (1942)
  56. Kaplan I G Simmetriya Mnogoelektronnykh Sistem (Symmetry of Many-Electron Systems, Moscow: Nauka, 1969) [Translated into English (New York: Acad. Press, 1975)]
  57. Clementi E, Roetti C Atom. Data Nucl. Data Tabl. 14 177 (1974)
  58. McLean A D, McLean R S Atom. Data Nucl. Data Tabl. 26 197 (1981)
  59. Evseev A I, Radzig A A, Smirnov B M Opt. Spektrosk. 44 833 (1978) [Opt. Spectrosc. 44 495 (1978)]
  60. Ema I et al. Atom. Data Nucl. Data Tabl. 72 57 (1999)
  61. Massey H S W Negative Ions 3rd ed. (Cambridge: Cambridge Univ. Press, 1976)
  62. Smirnov B M Negative Ions (New York: McGraw-Hill, 1982)
  63. Miller T M, in Handbook of Chem. Physics Vol. 10, 74th ed. (Ed. D R Lyde, London: CRC Press, 1998-1999) p. 187
  64. Scheer M, Haugen H K Phys. Rev. Lett. 76 2870 (1997)
  65. Scheer M, Bilodeau R C, Haugen H K Phys. Rev. Lett. 80 2562 (1998)
  66. Williams W W et al. J. Phys. B 31 L341 (1998)
  67. Scheer M et al. Phys. Rev. A 58 2844 (1998)
  68. Sundholm D et al. J. Phys. B 32 5893 (1999)
  69. Andersen T, Haugen H K, Hotop H J. Phys. Chem. Ref. Data 28 1511 (1999)
  70. Chandrasekhar S Astrophys. J. 100 176 (1944)
  71. Drukarev G F Stolknoveniya Elektronov s Atomami i Molekulami (Collisions of Electrons with Atoms and Molecules, Moscow: Nauka, 1978) [Translated into English (New York: Plenum Press, 1987)]
  72. Bethe H Phys. Rev. 76 38 (1947)
  73. O’Malley T F Phys. Rev. 130 1020 (1963)
  74. Martynenko Yu V, Firsov O B, Chibisov M I Zh. Eksp. Teor. Fiz. 44 225 (1963) [Sov. Phys. JETP 17 143 (1963)]
  75. Shevelko V P, Vinogradov A V Phys. Scripta 19 275 (1979)
  76. Firsov O B Zh. Eksp. Teor. Fiz. 21 1001 (1951)
  77. Hering C Rev. Mod. Phys. 34 631 (1963)
  78. Smirnov B M Teplofiz. Vys. Temp. 4 429 (1966)
  79. Duman E L, Smirnov B M Zh. Tekh. Fiz. 40 91 (1970) [Sov. Phys. Tech. Phys. 15 61 (1970)]
  80. Heitler W, London F Phys. Z. 44 445 (1927)
  81. Wang S C Phys. Z. 28 363 (1927)
  82. Massey H S W, Smith R A Proc. R. Soc. London Ser. A 142 142 (1933)
  83. Massey H S W, Mohr C B Proc. R. Soc. London Ser. A 144 88 (1934)
  84. Sena L A Zh. Eksp. Teor. Fiz. 9 1320 (1939)
  85. Sena L A Zh. Eksp. Teor. Fiz. 16 734 (1946)
  86. Sena L A Stolknoveniya Elektronov i Ionov s Atomami Gaza (Collisions of Electrons and Ions with Gaseous Atoms, Leningrad-Moscow: Gostekhizdat, 1948)
  87. Demkov Yu N Uch. Zap. Leningr. Gos. Univ. Ser. Fiz. Nauk (146) 74 (1952)
  88. Duman E L, Smirnov B M Teplofiz. Vys. Temp. 12 502 (1974)
  89. Duman E L, Smirnov B M Teplofiz. Vys. Temp. 17 1328 (1979)
  90. Duman E L et al., Preprint Kurchatov Institute of Atomic Energy No. 3532/12 (Moscow: IAE, 1982)
  91. Smirnov B M Phys. Scripta 61 595 (2000)
  92. Rapp D, Francis W E J. Chem. Phys. 37 2631 (1962)
  93. Sakabe S, Izawa Y Atom. Data Nucl. Data Tabl. 49 257 (1991)
  94. Sakabe S, Izawa Y Phys. Rev. A 45 2086 (1992)
  95. Copeland F B M, Crothers D S F Atom. Data Nucl. Data Tabl. 72 57 (1999)
  96. Bukhteev A M, Bydin Yu F Izv. Akad. Nauk SSSR Ser. Fiz. 24 964 (1960)
  97. Chkuaseli D V, Nikolaîshvili U D, Guldamashvili A I Izv. Akad. Nauk SSSR Ser. Fiz. 24 970 (1960)
  98. Perel J, Daley H L, Vernon R H Phys. Rev. 138 937A (1965)
  99. Gentry W R, Lee Y, Mahan B H J. Chem. Phys. 49 1758 (1968)
  100. Kushnir R M, Palyukh B M, Sena L A Izv. Akad. Nauk SSSR Ser. Fiz. 23 1007 (1959)
  101. Kushnir R M, Buchma L M Izv. Akad. Nauk SSSR Ser. Fiz. 24 986 (1960)
  102. Speiser R C, Vernon R Am. Rocket Soc. (2068-61, 1961)
  103. Marino L L, Smith A C H, Caplinger E Phys. Rev. 128 2243 (1962)
  104. McClure G W Phys. Rev. 148 47 (1966)
  105. Marino L L Phys. Rev. 152 46 (1966)
  106. Palyukh B M, Savchin A S Zh. Tekh. Fiz. 38 1055 (1968)
  107. Bydin Yu F Zh. Eksp. Teor. Fiz. 46 1612 (1964) [Sov. Phys. JETP 19 1085 (1964)]
  108. Nikitin E E, Umanskii S Ya Theory of Slow Atomic Collisions (Berlin: Springer-Verlag, 1984)
  109. Gilbody H B, Hasted J B Proc. R. Soc. London Ser. A 238 334 (1956)
  110. Wolf F Ann. Phys. (Leipzig) 29 33 (1937)
  111. Zeigler B Z. Phys. 136 108 (1953)
  112. Dilon J A et al. J. Chem. Phys. 23 776 (1955)
  113. Grosh S N, Sheridan W F J. Chem. Phys. 26 480 (1957); Ind. J. Phys. 31 337 (1957)
  114. Cramer W H J. Chem. Phys. 28 688 (1958)
  115. Gustafsson E, Lindholm E Ark. Fys. 18 219 (1960)
  116. Kaneko Y, Kobayashi N, Kanomata I J. Phys. Soc. Jpn. 27 992 (1960)
  117. Galli A, Giardani-Guidoni A, Volpi G G Nuovo Cimento 26 845 (1962)
  118. Kaneko Y, Kobayashi N, Kanomata I J. Mass Spectrom. 18 920 (1970)
  119. Kobayashi N J. Mass Spectrom. 20 123 (1972)
  120. Kikiani B I, Saliya Z E, Bagdasarova I G Zh.Tekh. Fiz. 45 586 (1975)
  121. Williams J F Can. J. Phys. 46 2339 (1968)
  122. Smith D L, Kevan L Am. Chem. Soc. 93 2113 (1971)
  123. Okuno K, Koizumi T, Kaneko Y Phys. Rev. Lett. 40 1708 (1978)
  124. Amme R C, Haugdjaa P O Phys. Rev. 165 63 (1968)
  125. Hishinuma N J. Phys. Soc. Jpn. 32 1452 (1972)
  126. Squires L, Baer T J. Chem. Phys. 65 4001 (1976)
  127. Kushnir R M Ukr. Fiz. Zh. 3 788 (1958)
  128. Fite W L, Smith A C, Stebbings R F Proc. R. Soc. London Ser. A 268 527 (1962)
  129. Newmann J H et al. Phys. Rev. A 25 2976 (1982)
  130. Belyaev V A, Brezhnev B G, Erastov E M Zh. Eksp. Teor. Fiz. 52 1170 (1967) [Sov. Phys. JETP 25 777 (1967)]
  131. Belyaev V A, Brezhnev B G, Erastov E M Zh. Eksp. Teor. Fiz. 54 720 (1968) [Sov. Phys. JETP 27 924 (1968)]
  132. Chapman S, Cowling T G The Mathematical Theory of Non-Uniform Gases 2nd ed.(Cambridge: The Univ. Press, 1952)
  133. Ferziger J H, Kaper H G Mathematical Theory of Transport Processes in Gases (Amsterdam: North-Holland, 1972)
  134. Holstein T J. Chem. Phys. 56 832 (1952)
  135. Mordvinov Yu P, Smirnov B M Zh. Eksp. Teor. Fiz. 48 133 (1965) [Sov. Phys. JETP 21 98 (1965)]
  136. Smirnov B M Dokl. Akad. Nauk SSSR 168 322 (1966)
  137. Smirnov B M Iony i Vozbuzhdennye Atomy v Plazme (Ions and Excited Atoms in Plasma, Moscow: Atomizdat, 1974)
  138. McDaniel E W, Mason E A The Mobility and Diffusion of Ions in Gases (New York: Wiley, 1973)
  139. Dalgarno A Philos. Trans. R. Soc. London Ser. A 250 428 (1958)
  140. Chanin L M, Biondi M A Phys. Rev. 106 473 (1957)
  141. Orient O J Can. J. Phys. 45 3915 (1967)
  142. Patterson P L Phys. Rev. A 2 1154 (1970)
  143. Courville G E, Biondi M A J. Chem. Phys. 37 616 (1962)
  144. Gerber R A, Gusinov M A Phys. Rev. A 4 2027 (1971)
  145. Perel’ V I Zh. Eksp. Teor. Fiz. 32 526 (1957) [Sov. Phys. JETP 5 436 (1957)]
  146. Smirnov B M Dokl. Akad. Nauk SSSR 181 61 (1968)
  147. Munson R J, Tyndal A M Proc. R. Soc. London Ser. A 177 187 (1940)
  148. Varney R N Phys. Rev. 88 362 (1952)
  149. Beaty E C Phys. Rev. 104 17 (1956)
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