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Electron Scattering

  • Donald G. Truhlar
Part of the Modern Theoretical Chemistry book series (MTC, volume 8)

Abstract

This chapter discusses some approximate methods for the calculation of electron scattering cross sections of molecules.

Keywords

Wave Function Orbital Angular Momentum Electron Scattering Static Potential Trial Function 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 1.
    H. S. W. Massey and E. H. S. Burhop, Electronic and Ionic Impact Phenomena, 2nd ed., Oxford, London (1969), Vol. I.Google Scholar
  2. 2.
    H. S. W. Massey, E. H. S. Burhop, and H. B. Gilbody, Electronic and Ionic Impact Phenomena, 2nd ed., Oxford, London (1969), Vol. II.Google Scholar
  3. 3.
    L. G. Christophorou, Atomic and Molecular Radiation Physics, Wiley-Interscience, London (1971).Google Scholar
  4. 4.
    T.-Y. Wu and T. Ohmura, Quantum Theory of Scattering, Prentice-Hall, Englewood Cliffs, N.J. (1962).Google Scholar
  5. 5.
    M. L. Goldberger and K. M. Watson, Collision Theory, Wiley, New York (1964).Google Scholar
  6. 6.
    N. F. Mott and H. S. W. Massey, Theory of Atomic Collisions, 3rd ed., Oxford, London (1965).Google Scholar
  7. 7.
    G. F. Drukarev, The Theory of Electron-Atom Collisions, Academic Press, London (1965).Google Scholar
  8. 8.
    S. Geltman, Topics in Atomic Collision Theory, Academic Press, New York (1969).Google Scholar
  9. 9.
    B. H. Bransden, Atomic Collision Theory, Benjamin, New York (1970).Google Scholar
  10. 10.
    K. Smith, The Calculation of Atomic Collision Processes, Wiley-Interscience, New York (1971).Google Scholar
  11. 11.
    R. A. Bonham and M. Fink, High-Energy Electron Scattering, Van Nostrand-Reinhold, New York (1974).Google Scholar
  12. 12.
    E. S. Chang, Phys. Rev. A 9, 1644–1655 (1974) and references therein.CrossRefGoogle Scholar
  13. 13.
    R. Blau, L. Rosenberg, and L. Spruch, Phys. Rev. 11, 200–209 (1975).CrossRefGoogle Scholar
  14. 14.
    R. S. Berry, Ann. Rev. Phys. Chem. 20, 257–406 (1969)CrossRefGoogle Scholar
  15. 14a.
    S. Trajmar, J. K. Rice, and A Kuppermann, Adv. Chem. Phys. 18, 15–90 (1970).CrossRefGoogle Scholar
  16. 15.
    E. N. Lassettre, Can. J. Phys. 47, 1733–1744 (1969).Google Scholar
  17. 16.
    S. Geltman and M. B. Hidalgo, J. Phys. B. 4, 1299–1307 (1971).CrossRefGoogle Scholar
  18. 17.
    J. Geiger and K. Wittmaack, Z. Phys. 187, 433–443 (1965).CrossRefGoogle Scholar
  19. 18.
    L. R. B. Elton, Proc. Phys. Soc. (Lond.) A 63, 1115–1124 (1950) and references therein.CrossRefGoogle Scholar
  20. 19.
    B. Hahn, D. G. Ravenhall, and R. Hofstadter, Phys. Rev. 101, 1131–1142 (1956)CrossRefGoogle Scholar
  21. 19a.
    R. Hofstadter, Rev. Mod. Phys. 28, 214–258 (1956).CrossRefGoogle Scholar
  22. 20.
    P. W. Langhoff, Chem. Phys. Lett. 22, 60–64 (1973)CrossRefGoogle Scholar
  23. 20a.
    P. W. Langhoff and C. T. Corcoran, J. Chem. Phys. 61, 146–159 (1974)CrossRefGoogle Scholar
  24. 20b.
    P. W. Langhoff, J. Sims, and C. T. Corcoran, Phys. Rev. A 10, 829–841 (1974)CrossRefGoogle Scholar
  25. 20c.
    U. Fano and C. M. Lee, Phys. Rev. Lett. 31, 1573–1576 (1973)CrossRefGoogle Scholar
  26. 20d.
    A. Dalgarno, H. Doyle, and M. Oppenheimer, Phys. Rev. Lett. 29, 1051–1052 (1972)CrossRefGoogle Scholar
  27. 20f.
    H. Doyle, M. Oppenheimer, and A. Dalgarno, Phys. Rev. A 11, 909–915 (1975)CrossRefGoogle Scholar
  28. 20e.
    J. T. Broad and W. P. Reinhardt, J. Chem. Phys. 60, 2182–2183 (1974).Google Scholar
  29. 21.
    C. W. McCurdy, Jr., T. N. Rescigno, D. L. Yeager, and V. McKoy, in Modern Theoretical Chemistry, Vol. 3: Methods of Electronic Structure Theory (H. Schaefer, ed.), Plenum, New York (1977), Chap. 9.Google Scholar
  30. 22.
    J. W. Cooper, Phys. Rev. 128, 681–693 (1962)CrossRefGoogle Scholar
  31. 22a.
    W. R. Garrett and H. T. Jackson, Phys. Rev. 153, 28–35 (1967)CrossRefGoogle Scholar
  32. 22b.
    R. J. W. Henry and L. Lipsky, Phys. Rev. 153, 51–56 (1967)CrossRefGoogle Scholar
  33. 22c.
    R. J. W. Henry, Phys. Rev. 162, 56–63 (1967)CrossRefGoogle Scholar
  34. 22d.
    E. J. McGuire, Phys. Rev. 175, 20–30 (1968)CrossRefGoogle Scholar
  35. 22e.
    J. J. Matese and R. W. LaBahn, Phys. Rev. 188, 17–23 (1969).CrossRefGoogle Scholar
  36. 23.
    J. J. Matese and R. S. Oberoi, Phys. Rev. A 4, 569–579 (1971).CrossRefGoogle Scholar
  37. 24.
    S. Geltman, J. Quant. Spectrosc. Radiât. Transfer 13, 601–613 (1973).CrossRefGoogle Scholar
  38. 25.
    C. J. Ballhausen and A. E. Hansen, Ann. Rev. Phys. Chem. 23, 15–38 (1972).CrossRefGoogle Scholar
  39. 26.
    A. Temkin and E. C. Sullivan, Phys. Rev. Lett. 33, 1057–1060 (1974), and references therein.CrossRefGoogle Scholar
  40. 27.
    D. G. Truhlar, D. C. Cartwright, and A. Kuppermann, Phys. Rev. 175, 113–133 (1968) and references therein.CrossRefGoogle Scholar
  41. 28.
    E. S. Chang and U. Fano, Phys. Rev. A 6, 173–185 (1972).CrossRefGoogle Scholar
  42. 29.
    W. R. Garrett, Mol. Phys. 24, 465–487 (1972).CrossRefGoogle Scholar
  43. 30.
    N. Chandra and F. A. Gianturco, Chem. Phys. Lett. 24, 326–330 (1974).CrossRefGoogle Scholar
  44. 31.
    M. Lieber, L. Rosenberg, and L. Spruch, Phys. Rev. D 5, 1330–1346 (1972) and references therein.CrossRefGoogle Scholar
  45. 32.
    M. R. H. Rudge, Rev. Mod. Phys. 40, 564–590 (1968) and references thereinCrossRefGoogle Scholar
  46. 32a.
    I. E. McCarthy, J. Phys. B 6, 2358–2367 (1973)CrossRefGoogle Scholar
  47. 32b.
    W. D. Robb, S. P. Rountree, and T. Burnett, Phys. Rev. A 11, 1193–1199 (1975).CrossRefGoogle Scholar
  48. 33.
    P. G. Burke and A. J. Taylor, Proc. Phys. Soc. (Lond.) 88, 549–562 (1966)CrossRefGoogle Scholar
  49. 33a.
    A. J. Taylor and P. G. Burke, Proc. Phys. Soc. (Lond.) 92, 336–344 (1967)CrossRefGoogle Scholar
  50. 33b.
    P. G. Burke and A. J. Taylor, J. Phys. B 2, 44–51(1969).CrossRefGoogle Scholar
  51. 34.
    K. Smith, R. J. W. Henry, and P. G. Burke, Phys. Rev. 147, 21–28 (1966).CrossRefGoogle Scholar
  52. 35.
    H. E. Seraph, M. J. Seaton, and J. Shemming, Phil. Trans. R. Soc. (Lond.) A 246, 77–105 (1969).CrossRefGoogle Scholar
  53. 36.
    K. Smith, M. J. Conneely, and L. A. Morgan, Phys. Rev. 177, 196–203 (1969).CrossRefGoogle Scholar
  54. 37.
    R. J. W. Henry, P. G. Burke, and A.-L. Sinfailam, Phys. Rev. 178, 218–225 (1969).CrossRefGoogle Scholar
  55. 38.
    K. Smith and L. A. Morgan, Phys. Rev. 165, 110–122 (1968).CrossRefGoogle Scholar
  56. 39.
    J. M. Blatt and L. C. Biedenharn, Rev. Mod. Phys. 24, 258–272 (1952).CrossRefGoogle Scholar
  57. 40.
    A. M. Lane and R. G. Thomas, Rev. Mod. Phys. 30, 257–353 (1958).CrossRefGoogle Scholar
  58. 41.
    P. G. Burke, in Atomic Collision Processes (S. Geltman, K. T. Mahanthappa, and W. E. Brittin, eds.), Gordon and Breach, New York (1969), pp. 1–55.Google Scholar
  59. 42.
    M. A. Brandt, D. G. Truhlar, and R. L. Smith, Comput. Phys. Commun. 5, 456–477 (1973)CrossRefGoogle Scholar
  60. 42a.
    M. A. Brandt, D. G. Truhlar, and R. L. Smith, Errata and addenda 7, 177 (1974).Google Scholar
  61. 43.
    M. LeDourneuf, H. E. Seraph, M. J. Seaton, and Vo Ky Lan, J. Phys. B 5, L87–L90(1972).CrossRefGoogle Scholar
  62. 44.
    D. G. Truhlar, C. A. Mead, and M. A. Brandt, Adv. Chem. Phys. 33, 296–344 (1975).Google Scholar
  63. 45.
    W. Kohn, Phys. Rev. 74, 1763–1772 (1948).CrossRefGoogle Scholar
  64. 46.
    F. E. Harris and H. H. Michels, Meth. Comput. Phys 10, 143–210 (1971).Google Scholar
  65. 47.
    D. G. Truhlar, J. Abdallah, Jr., and R. L. Smith, Adv. Chem. Phys. 25, 211–293 (1974).CrossRefGoogle Scholar
  66. 48.
    D. G. Truhlar and J. Abdallah, Jr., Phys. Rev. A 9, 297–300 (1974).CrossRefGoogle Scholar
  67. 49.
    J. I. Musher, MTP (Med. Tech. Publ. Co.) Int. Rev. Sci.: Theor. Chem., Ser. One 1, 1–40 (1972).Google Scholar
  68. 50.
    A.-L. Sinfailam and R. K. Nesbet, Phys. Rev. A 6, 2118–2125 (1972)CrossRefGoogle Scholar
  69. 50a.
    R. S. Oberoiand R. K. Nesbet, Phys. Rev. A 8, 2969–2979 (1973)CrossRefGoogle Scholar
  70. 50b.
    L. D. Thomas, R. S. Oberoi, and R. K. Nesbet, Phys. Rev. A. 10, 1605–1611 (1974)CrossRefGoogle Scholar
  71. 50c.
    L. D. Thomas and R. K. Nesbet, Phys. Rev. A 11, 170–173 (1975)CrossRefGoogle Scholar
  72. 50d.
    L. D. Thomas and R. K. Nesbet, Phys. Rev. A 12 2369–2377 (1975)CrossRefGoogle Scholar
  73. 50e.
    L. D. Thomas and R. K. Nesbet, Phys. Rev. A 12, 2378–2382 (1975)CrossRefGoogle Scholar
  74. 50f.
    R. K. Nesbet, Phys. Rev. A 12, 444–450 (1975).CrossRefGoogle Scholar
  75. 51.
    S. P. Rountree, E. R. Smith, and R. J. W. Henry, J. Phys. B 7, L167–L170 (1974).CrossRefGoogle Scholar
  76. 52.
    A. P. Jucys, Adv. Chem. Phys. 14, 191–206 (1969).CrossRefGoogle Scholar
  77. 53.
    E. A. McCullough, Jr., Chem. Phys. Lett. 24, 55–58 (1974)CrossRefGoogle Scholar
  78. 53a.
    W. R. Fimple and S. P. White, Int. J. Quantum Chem. 9, 301–324 (1975).CrossRefGoogle Scholar
  79. 54.
    K. Takayanagi, Prog. Theor. Phys. Suppl. 40, 216–248 (1967)CrossRefGoogle Scholar
  80. 54a.
    S. Hara, J. Phys. Soc. Japan 27, 1009–1019 (1969).CrossRefGoogle Scholar
  81. 55.
    T. H. Dunning, Jr., and P. J. Hay, in Modern Theoretical Chemistry, Vol. 3: Methods of Electronic Structure Theory (H. Schaefer, ed.), Plenum, New York (1977), Chap. 1.Google Scholar
  82. 56.
    A. A. Frost, in Modern Theoretical Chemistry, Vol. 3: Methods of Electronic Structure Theory (H. Schaefer, ed.), Plenum, New York (1977), Chap. 2.Google Scholar
  83. 57.
    C. C. J. Roothaan, Rev. Mod. Phys. 23, 69–89 (1951)CrossRefGoogle Scholar
  84. 57a.
    R. K. Nesbet, Rev. Mod. Phys. 35, 552–557 (1963).CrossRefGoogle Scholar
  85. 58.
    A. C. Wahl and G. Das, in Modern Theoretical Chemistry, Vol. 3: Methods of Electronic Structure Theory (H. Schaefer, ed.), Plenum, New York (1977), Chap. 3.Google Scholar
  86. 59.
    F. E. Harris and H. H. Michels, Adv. Chem. Phys. 13, 205–266 (1967)CrossRefGoogle Scholar
  87. 59a.
    S. Huzinaga, Prog. Theor. Phys. Suppl. 40, 52–77 (1967).CrossRefGoogle Scholar
  88. 60.
    G. Klopman and R. C. Evans, in Modern Theoretical Chemistry, Vol. 7: Semiempirical Methods of Electronic Structure CalculationPart A, Techniques (G. A. Segal, ed.), Plenum, New York (1977), Chap. 2.Google Scholar
  89. 61.
    J. W. D. Connolly, in Modern Theoretical Chemistry, Vol. 7: Semiempirical Methods of Electronic Structure CalculationPart A, Techniques (G. A. Segal, ed.), Plenum, New York (1977), Chap. 4.Google Scholar
  90. 62.
    C. Schwartz, Ann. Phys. (N.Y.) 16, 36–50 (1961)CrossRefGoogle Scholar
  91. 62a.
    C. Schwartz, Phys. Rev. 124, 1468–1471 (1961).CrossRefGoogle Scholar
  92. 63.
    H. E. Seraph, M. J. Seaton, and J. Shemming, Proc. Phys. Soc. (Lond.) 89, 27–34 (1966).CrossRefGoogle Scholar
  93. 64.
    R. K. Nesbet, Phys.Rev. 175, 134–142(1968)CrossRefGoogle Scholar
  94. 64a.
    R. K. Nesbet, Phys.Rev. 179, 60–70(1969).CrossRefGoogle Scholar
  95. 65.
    R. K. Nesbet and R. S. Oberoi, Phys. Rev. A 6, 1855–1862 (1972).CrossRefGoogle Scholar
  96. 66.
    A.-L. Sinfailam and R. K. Nesbet, Phys. Rev. A 7, 1987–1994 (1973).CrossRefGoogle Scholar
  97. 67.
    J. Callaway and J. W. Wooten, Phys. Rev. A 9, 1924–1931 (1974).CrossRefGoogle Scholar
  98. 68.
    J. Abdallah, Jr., and D. G. Truhlar, J. Chem. Phys. 60, 4670–4675 (1974).CrossRefGoogle Scholar
  99. 69.
    I. Shimamura, Proc. Phys. Soc. Japan 31, 852–870 (1971).CrossRefGoogle Scholar
  100. 70.
    F. B. Malik, Ann. Phys. (N. Y.) 20, 464–478 (1962)CrossRefGoogle Scholar
  101. 70a.
    F. B. Malik, in Atomic Collision Processes (M. R. C. McDowell, ed.), North-Holland, Amsterdam (1964), pp. 80–85Google Scholar
  102. 70b.
    M. R. H. Rudge, J. Phys. B 6, 1788–1796 (1973)CrossRefGoogle Scholar
  103. 70c.
    R. J. Drachman, J. Phys. B 7, L76–L78 (1974).CrossRefGoogle Scholar
  104. 71.
    J. Abdallah, Jr., and D. G. Truhlar, J. Chem. Phys. 61, 30–36 (1974).CrossRefGoogle Scholar
  105. 72.
    I. Wladawsky, J. Chem. Phys. 58, 1826–1832 (1973).CrossRefGoogle Scholar
  106. 73.
    E. W. Schmid and K. H. Hoffmann, Nucl. Phys. A 175, 443–448 (1971)CrossRefGoogle Scholar
  107. 73a.
    E. W. Schmid and J. Schwager, Nucl. Phys. A 180, 434–448 (1972).CrossRefGoogle Scholar
  108. 74.
    J. Schwager and E. W. Schmid, Nucl. Phys. A 205, 168–176 (1973).CrossRefGoogle Scholar
  109. 75.
    E. W. Schmid, Nuovo Cimento 18A, 771–786 (1973).Google Scholar
  110. 76.
    I. C. Percival, Phys. Rev. 119, 159–164 (1960)CrossRefGoogle Scholar
  111. 76a.
    Y. Hahn, T. F. O’Malley, and L. Spruch, Phys. Rev. 134, B397–B404 (1964)CrossRefGoogle Scholar
  112. 76b.
    Y. Hahn, T. F. O’Malley, and L. Spruch, Phys. Rev. 134, B911–B917 (1964)CrossRefGoogle Scholar
  113. 76c.
    R. Sugar and R. Blankenbeckler, Phys. Rev. 136, B472–B491 (1964);CrossRefGoogle Scholar
  114. 76d.
    W. A. McKinley and J. Macek, Phys. Lett. 10, 210–212 (1964)CrossRefGoogle Scholar
  115. 76e.
    M. Gailitis, Zh. Eksp. Teor. W. A. McKinley and J. Macek, Phys. Lett. 10, 210–212 (1964)CrossRefGoogle Scholar
  116. 76f.
    M. Gailitis, Zh. Eksp. Teor. Fiz. 47, 160–166 (1964)Google Scholar
  117. 76g.
    M. Gailitis, Soviet Phys.—JETP 20, 107–111 (1965)Google Scholar
  118. 76p.
    Y. Hahn and L. Spruch, Phys. Rev. 153, 1159–1164 (1967).CrossRefGoogle Scholar
  119. 77.
    Y. Hahn, Phys. Rev. A 4, 1881–1886 (1971)CrossRefGoogle Scholar
  120. 77a.
    D. G. Truhlar and R. L. Smith, Phys. Rev. A 6, 233–239 (1972)CrossRefGoogle Scholar
  121. 77b.
    K. T. Chung and J. C. Y. Chen, Phys. Rev. Lett. 27, 1112–1114 (1971)CrossRefGoogle Scholar
  122. 77c.
    K. T. Chung and J. C. Y. Chen, Phys. Rev. A 6, 686–693 (1972).CrossRefGoogle Scholar
  123. 78.
    L. Rosenberg and L. Spruch, Phys. Rev. A 10, 2002–2015 (1974).CrossRefGoogle Scholar
  124. 79.
    J. Abdallah, Jr. and D. G. Truhlar, Comput. Phys. Commun. 9, 327–336 (1975) and references therein.CrossRefGoogle Scholar
  125. 80.
    K. Onda, J. Phys. Soc. Japan 36, 826–838 (1974).CrossRefGoogle Scholar
  126. 81.
    K. T. Chung and M. P. Ajmera, Phys. Rev. A 8, 2895–2897 (1973)CrossRefGoogle Scholar
  127. 81a.
    M. P. Ajmera and K. T. Chung, Phys. Rev. A 10, 1013–1018 (1974).CrossRefGoogle Scholar
  128. 82.
    C. Moller and M. S. Plesset, Phys. Rev. 46, 618–622 (1934).CrossRefGoogle Scholar
  129. 83.
    T. G. Strand and R. A. Bonham, J. Chem. Phys. 40, 1686–1691 (1964).CrossRefGoogle Scholar
  130. 84.
    R. W. B. Ardill and W. D. Davidson, Proc. R. Soc. (Lond.) A 304, 465–477 (1968)CrossRefGoogle Scholar
  131. 84a.
    F. H. M. Faisal, J. Phys. B 3, 636–640 (1970).CrossRefGoogle Scholar
  132. 85.
    F. A. Gianturco and J. H. Tait, Chem. Phys. Lett. 12, 589–595 (1972)CrossRefGoogle Scholar
  133. 85a.
    J. Almlöf and Å. Støgård, Chem. Phys. Lett. 29, 1260–1268 (1974).CrossRefGoogle Scholar
  134. 86.
    D. G. Truhlar, F. A. Van-Catledge, and T. H. Dunning, Jr., J. Chem. Phys. 57, 4788–4799 (1972).CrossRefGoogle Scholar
  135. 87.
    F. A. Gianturco and N. Chandra, Proc. Sect. Sci. Isr. Acad. Sci. Humanit. 1974, 219–241.Google Scholar
  136. 88.
    D. G. Truhlar and J. K. Rice, J. Chem. Phys. 52, 4480–4501 (1970)CrossRefGoogle Scholar
  137. 88a.
    D. G. Truhlar and J. K. Rice, Erratum 55, 2005 (1971).Google Scholar
  138. 89.
    D. G. Truhlar, Chem. Phys. Lett. 15, 486–489 (1972).CrossRefGoogle Scholar
  139. 90.
    D. G. Truhlar and F. A. Van-Catledge, J. Chem. Phys. 59, 3207–3213 (1973).CrossRefGoogle Scholar
  140. 91.
    E. Scrocco and J. Tomasi, Top. Curr. Chem. 42, 95–170 (1973).Google Scholar
  141. 92.
    C. Giessner-Prettre and A. Pullman, Theor. Chim. Acta 25, 83–88 (1972)CrossRefGoogle Scholar
  142. 92a.
    C. Giessner-Prettre and A. Pullman, Theor. Chim. Acta 33, 91–94 (1974).CrossRefGoogle Scholar
  143. 93.
    P.-O. Löwdin, J. Chem. Phys. 18, 365–375 (1970).CrossRefGoogle Scholar
  144. 94.
    F. A. Van-Catledge, On INDO wave functions as sources of molecular electrostatic potentials, unpublished.Google Scholar
  145. 95.
    P. R. Smith and J. W. Richardson, J. Phys. Chem. 71, 924–930 (1967).CrossRefGoogle Scholar
  146. 96.
    F. A. Van-Catledge, J. Phys. Chem. 75, 763–769 (1974).CrossRefGoogle Scholar
  147. 97.
    H. Meyer and A. Schweig, Chem. Phys. Lett. 6, 975–988 (1972).Google Scholar
  148. 98.
    D. G. Truhlar, Int. J. Quant. Chem. 6, 975–988 (1972)CrossRefGoogle Scholar
  149. 98a.
    D. C. Cartwright and T. H. Dunning, Jr., J. Phys. B 7, 1776–1781 (1974).CrossRefGoogle Scholar
  150. 99.
    Y. Itikawa and K. Takayanagi, J. Phys. Soc. Japan 26, 1254–1264 (1969).CrossRefGoogle Scholar
  151. 100.
    T. Sawada, P. S. Ganas, and A. E. S. Green, Phys. Rev. A 9, 1130–1135 (1974).CrossRefGoogle Scholar
  152. 101.
    Y. Itikawa, J. Phys. Soc. Japan 30, 835–842 (1971).CrossRefGoogle Scholar
  153. 102.
    D. E. Golden, N. F. Lane, A. Temkin, and E. Gerjuoy, Rev. Mod. Phys. 43, 642–678 (1971).CrossRefGoogle Scholar
  154. 103.
    P. G. Burke, N. Chandra, and F. A. Gianturco, Mol. Phys. 27, 1121–1137 (1974).CrossRefGoogle Scholar
  155. 104.
    A. Chutjian and G. Segal, J. Chem. Phys. 57, 3069–3082 (1972).CrossRefGoogle Scholar
  156. 105.
    K. F. Freed, in Modern Theoretical Chemistry, Vol. 7: Semiempirical Methods of Electronic Structure Calculations, Part A, Techniques (G. A. Segal, ed.), Plenum, New York (1977), Chap. 7.Google Scholar
  157. 106.
    H. Freidrich and E. Trefftz, J. Quant. Spectrosc. Radiât. Transfer 9, 333–359 (1969)CrossRefGoogle Scholar
  158. 106a.
    R. H. Garstang, Astron. J. 79, 418–420 (1974)CrossRefGoogle Scholar
  159. 106b.
    O. Sinanoglu, Nucl. Instr. Methods 110, 193 (1973).CrossRefGoogle Scholar
  160. 107.
    R. L. Ellis and H. H. Jaffé, this volume, Chap. 2.Google Scholar
  161. 108.
    J. C. Slater, Phys. Rev. 81, 385–390 (1951)CrossRefGoogle Scholar
  162. 108a.
    J. C. Slater and J. H. Wood, Int. J. Quant. Chem. Symp. 4, 3–34 (1971)Google Scholar
  163. 108b.
    J. C. Slater, Adv. Quant. Chem. 6, 1–92 (1972)CrossRefGoogle Scholar
  164. 108c.
    J. C. Slater and K. H. Johnson, Phys. Rev. B 5, 844–853 (1972)CrossRefGoogle Scholar
  165. 108d.
    K. H. Johnson, Adv. Quant. Chem. 7, 143–185 (1973)CrossRefGoogle Scholar
  166. 108e.
    I. Lindgren and A. Rosen, Case Stud. At. Phys. 4, 93–196 (1974).Google Scholar
  167. 109.
    (a) W. Kohn and L. J. Sham, Phys. Rev. 140, A1133–A1138 (1965)CrossRefGoogle Scholar
  168. 109a.
    (b) R. Gaspar, Acta Phys. Acad. Sci. Hung. 3, 263–286 (1954).CrossRefGoogle Scholar
  169. 110.
    S. Hara, J. Phys. Soc. Japan 22, 710–718 (1967).CrossRefGoogle Scholar
  170. 111.
    M. H. Mittleman and K. M. Watson, Ann. Phys. 10, 268–279 (1960).CrossRefGoogle Scholar
  171. 112.
    M. E. Riley and D. G. Truhlar, J. Chem. Phys. 63, 2182–2191 (1975).CrossRefGoogle Scholar
  172. 113.
    P. Swann, Proc. R. Soc. (Lond.) A 228, 10–33 (1955).CrossRefGoogle Scholar
  173. 114.
    N. Levinson, K. Dan. Vidensk. Sebk. Mat. Fys. Medd. 25, no. 9 (1949).Google Scholar
  174. 115.
    P. G. Burke and N. Chandra, J. Phys. B 5, 1696–1711 (1972).CrossRefGoogle Scholar
  175. 116.
    N. Chandra and P. G. Burke, J. Phys. B 6, 2355–2357 (1973).CrossRefGoogle Scholar
  176. 117.
    N. Chandra, Comput. Phys. Commun. 5, 417–429 (1973).CrossRefGoogle Scholar
  177. 118.
    N. Chandra and F. A. Gianturco, Chem. Phys. Lett. 24, 326–330 (1974).CrossRefGoogle Scholar
  178. 119.
    B. A. Lippmann and H. M. Schey, Phys. Rev. 121, 1112–1118 (1968).CrossRefGoogle Scholar
  179. 120.
    P. G. Burke and A.-L. Sinfailam, J. Phys. B 3, 641–659 (1970).CrossRefGoogle Scholar
  180. 121.
    R. Peterkop and L. Rabik, J. Phys. B 4, 1440–1449 (1971)CrossRefGoogle Scholar
  181. 121a.
    M. J. Lavan and G. L. Payne, Phys. Rev. C 3, 2156–2167 (1971)CrossRefGoogle Scholar
  182. 121b.
    R. J. Drachman, J.Phys.B 5, L30–L32 (1972)CrossRefGoogle Scholar
  183. 121c.
    Y. Hahn, Phys. Rev. A 5, 309–317 (1972)CrossRefGoogle Scholar
  184. 121d.
    T. S. Murtaugh and W. P. Reinhardt, J. Chem. Phys. 59, 4900–4906 (1973)CrossRefGoogle Scholar
  185. 121e.
    H. E. Seraph, J. Phys. B 6, L243-L246 (1973)CrossRefGoogle Scholar
  186. 121f.
    E. Wichman and P. Heiss, J. Phys. B 7, 1042–1051 (1974)CrossRefGoogle Scholar
  187. 121g.
    R. Blau, L. Rosenberg, and L. Spruch, Phys. Rev. A 10, 2246–2256 (1974)CrossRefGoogle Scholar
  188. 121p.
    W. D. Robb, J. Phys. B 8, L46-L49 (1975).CrossRefGoogle Scholar
  189. 122.
    L. M. Delves, Nucl. Phys. 29, 326–334 (1962).CrossRefGoogle Scholar
  190. 123.
    H. S. Taylor, Adv. Chem. Phys. 18, 91–147 (1970) and references thereinCrossRefGoogle Scholar
  191. 123a.
    M. Fels and A. U. Hazi, Phys. Rev. A 5, 1236–1249 (1972) and references thereinCrossRefGoogle Scholar
  192. 123b.
    G. D. Doolen, J. Phys. B 8, 525–528 (1975).CrossRefGoogle Scholar
  193. 124.
    A. Herzenberg, in Fundamental Interactions in Physics (B. Kursonoglu and A. Perlmutter, eds.), Plenum Press, New York (1973), Vol. 2, pp. 261–284, and references therein.Google Scholar
  194. 125.
    C. R. Claydon, G. A. Segal, and H. S. Taylor, J. Chem. Phys. 52, 3387–3398 (1970).CrossRefGoogle Scholar
  195. 126.
    C. R. Claydon, G. A. Segal, and H. S. Taylor, J. Chem. Phys. 54, 3799–3816 (1971).CrossRefGoogle Scholar
  196. 127.
    P. G. Burke, Comments At. Mol. Phys. 4, 157–162 (1973)Google Scholar
  197. 127a.
    P. G. Burke, Comput. Phys. Commun. 6, 288–302 (1974)CrossRefGoogle Scholar
  198. 127b.
    P. G. Burke and W. D. Robb, Adv. At. Mol. Phys. 11, 143–214 (1975).CrossRefGoogle Scholar
  199. 128.
    B. I. Schneider, Chem. Phys. Lett. 31, 237–241 (1975).CrossRefGoogle Scholar
  200. 129.
    E. J. Heller and H. A. Yamani, Phys. Rev. A 9, 1201–1208 (1974)CrossRefGoogle Scholar
  201. 129a.
    E. J. Heller and H. A. Yamani, Phys. Rev. A 9, 1209–1214 (1974)CrossRefGoogle Scholar
  202. 129b.
    H. A. Yamani and L. Fishman, J. Math. Phys. 16, 410–420 (1975)CrossRefGoogle Scholar
  203. 129c.
    E. J. Heller, Phys. Rev. A 12, 1222–1231 (1975).CrossRefGoogle Scholar
  204. 130.
    W. P. Reinhardt, Comput. Phys. Commun. 6, 303–315 (1974) and references thereinCrossRefGoogle Scholar
  205. 130a.
    J. Nuttall, Comput. Phys. Commun. 6, 331–345 (1974) and references thereinCrossRefGoogle Scholar
  206. 130b.
    P. W. Langhoff and W. P. Reinhardt, Chem. Phys. Lett. 24, 495–500 (1974).CrossRefGoogle Scholar
  207. 131.
    B. I. Schneider, Chem. Phys. Lett. 25, 140–142 (1974).CrossRefGoogle Scholar
  208. 132.
    G. D. Carse, J. Phys. B 5, 1928–1937 (1972)CrossRefGoogle Scholar
  209. 132a.
    P. G. Burke and J. F. B. Mitchell, J. Phys. B 6, L161–L164 (1973)CrossRefGoogle Scholar
  210. 132b.
    D. F. Korfï, S. Chung, and C. C. Lin, Phys. Rev. A 7, 545–556 (1973).CrossRefGoogle Scholar
  211. 133.
    D. G. Truhlar, S. Trajmar, W. Williams, S. Ormonde, and B. Torres, Phys. Rev. A 8, 2475–2482 (1973).CrossRefGoogle Scholar
  212. 134.
    T. N. Rescigno, C. W. McCurdy, Jr., and V. McKoy, Phys. Rev. A 11, 825–829 (1975).CrossRefGoogle Scholar
  213. 135.
    T. G. Winter and N. F. Lane, Chem. Phys. Lett. 30, 363–366 (1975)CrossRefGoogle Scholar
  214. 135a.
    B. I. Schneider, Phys. Rev. A 11, 1957–1962 (1975).CrossRefGoogle Scholar
  215. 136.
    M. S. Pindzola and H. P. Kelly, Phys. Rev. A 11, 221–229 (1975).CrossRefGoogle Scholar
  216. 137.
    W. N. Shelton, E. S. Leherissey, and D. H. Madison, Phys. Rev. A 3, 242–250 (1971);CrossRefGoogle Scholar
  217. 137a.
    D. H. Madison and W. N. Shelton, Phys. Rev. A 7, 449–513 (1973).Google Scholar
  218. 138.
    W. N. Shelton and E. S. Leherissey, J. Chem. Phys. 54, 1130–1136 (1971).CrossRefGoogle Scholar
  219. 139.
    G. Csanak, H. S. Taylor, and R. Yaris, Phys. Rev. A 3, 1322–1328 (1971)CrossRefGoogle Scholar
  220. 139a.
    G. Csanak, H. S. Taylor, and D. N. Tripathy, J. Phys. B 6, 2040–2054 (1973).CrossRefGoogle Scholar
  221. 140.
    L. D. Thomas, B. S. Yarlagadda, G. S. Csanak, and H. S. Taylor, Comput. Phys. Commun. 6, 316–330 (1974)CrossRefGoogle Scholar
  222. 140a.
    L. D. Thomas, G. Csanak, H. S. Taylor, and B. S. Yarlaggadda, J. Phys. B 7, 1719–1733 (1974)CrossRefGoogle Scholar
  223. 140b.
    D. R. Flower, J. Phys. B 4, 697–705 (1971)CrossRefGoogle Scholar
  224. 140c.
    D. R. Flower and J. M. Launay, J. Phys. B 5, L207–L210 (1972)Google Scholar
  225. 140d.
    M. B. Hidalgo and S. Geltman, J. Phys. B 5, 617–626 (1972)CrossRefGoogle Scholar
  226. 140e.
    M. D. Hershkowitz and M. J. Seaton, J. Phys. B 6, 1176–1187 (1973)CrossRefGoogle Scholar
  227. 140f.
    D. H. Madison and W. N. Shelton, Phys. Rev. A 7, 514–523 (1973)CrossRefGoogle Scholar
  228. 140g.
    L. D. Thomas, G. Csanak, H. S. Taylor, and B. S. Yarlagadda, J. Phys. B 7, 1719–1733 (1974).CrossRefGoogle Scholar
  229. 141.
    M. Inokuti, Rev. Mod. Phys. 43, 297–347 (1971).CrossRefGoogle Scholar
  230. 142.
    M. R. H. Rudge, Adv. At. Mol. Phys. 9, 47–126 (1973)CrossRefGoogle Scholar
  231. 142a.
    C. J. Joachain and C. Ouigg, Rev. Mod. Phys. 46, 279–324 (1974)CrossRefGoogle Scholar
  232. 142b.
    B. L. Moiseiwitsch, Comput. Phys. Commun. 6, 372–376 (1974)CrossRefGoogle Scholar
  233. 142c.
    C. J. Joachain, Comput. Phys. Commun. 6, 358–371 (1974)CrossRefGoogle Scholar
  234. 142d.
    E. Gerjuoy and B. K. Thomas, Rep. Prog. Phys. 37, 1345–1431 (1974).CrossRefGoogle Scholar
  235. 143.
    K. L. Bell and A. E. Kingston, Adv. At. Mol. Phys. 10, 53–130 (1974).CrossRefGoogle Scholar
  236. 144.
    B. H. Bransden, in Phys. Electron. At. Collisions, Invited Lect. Prog. Rep. Int. Conf., Sth (1973), pp. 400–16, and references therein.Google Scholar
  237. 145.
    E. N. Lassettre, J. Chem. Phys. 43, 4479–4486 (1965)CrossRefGoogle Scholar
  238. 145a.
    E. N. Lassettre, A. Skerbele, and M. A. Dillon, J. Chem. Phys. 50, 1829–1839 (1969).CrossRefGoogle Scholar
  239. 146.
    M. Inokuti, in Phys. Electron. At. Collisions, Invited Pap. Prog. Rep. Int. Conf., 7th (1971), pp. 327–40.Google Scholar
  240. 147.
    M. Inokuti and M. R. C. McDowell, J. Phys. B 7, 2382–2395 (1974).CrossRefGoogle Scholar
  241. 148.
    S. Chung and C. C. Lin, Appl. Opt. 10, 1790–1794 (1971)CrossRefGoogle Scholar
  242. 148a.
    S. Chung and C. C. Lin, Phys. Rev. A 6, 988–1002 (1972)CrossRefGoogle Scholar
  243. 148b.
    S. Chung and C. C. Lin, Phys. Rev. A 9, 1954–1964 (1974)CrossRefGoogle Scholar
  244. 148c.
    J. W. Liu, J. Chem. Phys. 59, 1988–1998 (1973)CrossRefGoogle Scholar
  245. 148d.
    J. W. Liu and V. H. Smith, Jr., J. Phys. B 6, L275–L279 (1973)CrossRefGoogle Scholar
  246. 148e.
    J. W. Liu and V. H. Smith, Jr., Chem. Phys. Lett. 30, 63–68 (1975)CrossRefGoogle Scholar
  247. 148f.
    S. Ishi and K. Tanaka, J. Phys. Soc. Japan 37, 1073–1076 (1974)CrossRefGoogle Scholar
  248. 148g.
    K. J. Miller and M. Krauss, J. Chem. Phys. 47, 3754–3762 (1967)CrossRefGoogle Scholar
  249. 148j.
    K. J. Miller, S. R. Mielczarek, and M. Krauss, J. Chem. Phys 51, 26–32 (1969)CrossRefGoogle Scholar
  250. 148p.
    K. J. Miller, J. Chem. Phys. 51, 5235–5240 (1969)CrossRefGoogle Scholar
  251. 148t.
    K. J. Miller, J. Chem. Phys. 62, 1759–1768 (1975).CrossRefGoogle Scholar
  252. 149.
    P. G. Burke, D. F. Gallaher, and S. Geltman, J. Phys. B 2, 1142–1154 (1969) and references thereinCrossRefGoogle Scholar
  253. 149a.
    R. J. Damburg, in Phys. Electron. At. Collisions, Invited Pap. Prog. Rep. Int. Conf., 7th (1971), pp. 200–215Google Scholar
  254. 149b.
    S. Geltman, in Phys. Electron. At. Collisions, Invited Pap. Prog. Rep. Int. Conf, 7th (1971), pp. 216–231Google Scholar
  255. 149c.
    P. G. Burke and J. F. B. Mitchell, J. Phys. B 6, 320–328 (1973)CrossRefGoogle Scholar
  256. 149d.
    P. G. Burke and J. F. B. Mitchell, Phys. B 7, 665–673 (1974)CrossRefGoogle Scholar
  257. 149e.
    P. G. Burke, K. A. Berrington, M. LeDourneuf, and Vo Ky Lan, J. Phys. B 7, L531–L534 (1974)CrossRefGoogle Scholar
  258. 149f.
    M. R. Flannery and K. J.McCann, J. Phys. B 7, L223–L227 (1974)CrossRefGoogle Scholar
  259. 149x.
    J. Callaway and J. W. Wooten, Phys. Rev. A 11, 1118–1120 (1975).CrossRefGoogle Scholar
  260. 150.
    N. Feautrier, H. van Regemorter, and Vo Ky Lan, J. Phys. B 4, 670–680 (1971)CrossRefGoogle Scholar
  261. 150a.
    Vo Ky Lan, J. Phys. B 5, 242–249 (1972)CrossRefGoogle Scholar
  262. 150b.
    Vo Ky Lan, N. Feautrier, M. LeDourneuf, and H. van Regemorter, J. Phys. B 5, 1506–1516 (1972).CrossRefGoogle Scholar
  263. 151.
    R. J. Drachman and A. Temkin, Case Stud. At. Coll. Phys. 2, 399–481 (1972).Google Scholar
  264. 152.
    J. Callaway, Comput. Phys. Commun. 6, 265–274 (1974).CrossRefGoogle Scholar
  265. 153.
    M. D. Lloyd and M. R. C. McDowell, J. Phys. B 2, 1313–1322 (1969)Google Scholar
  266. 153a.
    M. R. C. McDowell, L. A. Morgan, and V. P. Myerscough, J. Phys. B. 6, 1435–1451 (1973)CrossRefGoogle Scholar
  267. 153b.
    M. R. C. McDowell, V. P. Myerscough, and V. Narain, J. Phys. B 7, L195–L197 (1974).CrossRefGoogle Scholar
  268. 154.
    H. C. Volkin, Phys. Rev. 155, 1177–1190 (1967).CrossRefGoogle Scholar
  269. 155.
    M. H. Mittleman and R. Pu, Phys. Rev. 126, 370–372 (1962).CrossRefGoogle Scholar
  270. 156.
    M. H. Mittleman, Adv. Theor. Phys. 1, 283–315 (1965).Google Scholar
  271. 157.
    R. T. Pu, University of California Lawrence Radiation Laboratory Technical Report 10878 (June 1963).Google Scholar
  272. 158.
    H. Feshbach, Ann. Rev. Nucl. Sci. 8, 49–105 (1958)CrossRefGoogle Scholar
  273. 158a.
    H. Feshbach, Ann. Phys. (N. Y.) 5, 357–390 (1958)CrossRefGoogle Scholar
  274. 158b.
    H. Feshbach, Ann. Phys. (N.Y.) 19, 287–313 (1962).CrossRefGoogle Scholar
  275. 159.
    D. G. Truhlar, J. K. Rice, S. Trajmar, and D. C. Cartwright, Chem. Phys. Lett. 9, 299–305 (1971) and references therein.CrossRefGoogle Scholar
  276. 160.
    M. H. Mittleman and K. M. Watson, Phys. Rev. 113, 198–211 (1959)CrossRefGoogle Scholar
  277. 160a.
    M. H. Mittleman, Ann. Phys. (N.Y.) 14, 94–106 (1961)CrossRefGoogle Scholar
  278. 160b.
    C. J. Kleinman, Y. Hahn, and L. Spruch, Phys. Rev. 165, 53–61 (1968).CrossRefGoogle Scholar
  279. 161.
    N. F. Lane, in Fundamental Interactions in Physics (B. Kursunoglu and A. Perlmutter, ed.), Plenum Press, New York (1973), Vol. 2, pp. 297–298.Google Scholar
  280. 162.
    N. F. Lane and R. J. W. Henry, Phys. Rev. 173, 183–180 (1968).CrossRefGoogle Scholar
  281. 163.
    S. Hara, J. Phys. Soc. Japan 27, 1262–1267 (1969).CrossRefGoogle Scholar
  282. 164.
    V. D. Ob’edkov, in Int. Conf. Phys. Electron. At. Collisions, 5th, Abstr. Pap. (1967), pp. 456–57Google Scholar
  283. 164a.
    J. E. Purcell, R. A. Berg, and A. E. S. Green, Phys. Rev. A 2, 107–111 (1970)CrossRefGoogle Scholar
  284. 164b.
    J. E. Purcell, R. A. Berg, and A. E. S. Green, Phys. Rev. A 3, 508–510 (1970)Google Scholar
  285. 164c.
    C. J. Joachain and M. H. Mittleman, Phys. Rev. A 4, 1492–1499 (1971)CrossRefGoogle Scholar
  286. 164d.
    C. J. Joachain and R. Vanderpoorten, J.Phys. B 6, 622–641 (1973)CrossRefGoogle Scholar
  287. 164e.
    F. W. Byron and C. J. Joachain, Phys. Lett. 49A, 306–308 (1974)Google Scholar
  288. 164f.
    J. B. Furness and I. E. McCarthy, J. Phys. B 6, 2280–2291 (1973).CrossRefGoogle Scholar
  289. 165.
    M. H. Mittleman, Ann. Phys. (N.Y.) 14, 94–106 (1961)CrossRefGoogle Scholar
  290. 165a.
    R. J. Damburg and S. Geltman, Phys. Rev. Lett. 20, 485–487 (1968)CrossRefGoogle Scholar
  291. 165b.
    J. K. Rice, D. G. Truhlar, D. C. Cartwright, and S. Trajmar, Phys. Rev. A 5, 762–782 (1972)CrossRefGoogle Scholar
  292. 165e.
    G. Y. Csanak and H. S. Taylor, J. Phys. B 6, 2055–2071 (1973)CrossRefGoogle Scholar
  293. 165f.
    C. B. O. Mohr, J. Phys. B 8, 388–392 (1975).CrossRefGoogle Scholar
  294. 166.
    W. Huo, J. Chem. Phys. 56, 3468–3481 (1972)CrossRefGoogle Scholar
  295. 166a.
    W. Huo, J. Chem. Phys. 57, 4800–4813 (1972).CrossRefGoogle Scholar
  296. 167.
    L. Sakar, B. C. Saha, and A. K. Ghosh, Phys. Rev. A 8, 236–243 (1973)CrossRefGoogle Scholar
  297. 167a.
    T. N. Chang, R. T. Poe, and P. Ray, Phys. Rev. Lett. 31, 1097–1099 (1973).CrossRefGoogle Scholar
  298. 168.
    V. M. Martin, M. J. Seaton, and J. G. B. Wallace, Proc. Phys. Soc. (Lond.) 72, 701–710 (1958)CrossRefGoogle Scholar
  299. 168a.
    R. W. LaBahn and J. Callaway, Phys. Rev. 147, 28–40 (1966)CrossRefGoogle Scholar
  300. 168b.
    J. C. Callaway, R. W. La Bahn, R. T. Pu, and W. M. Duxler, Phys. Rev. 168, 12–21 (1968).CrossRefGoogle Scholar

Copyright information

© Plenum Press, New York 1977

Authors and Affiliations

  • Donald G. Truhlar
    • 1
  1. 1.Department of Chemistry and Chemical Physics ProgramUniversity of MinnesotaMinneapolisUSA

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