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Quantum Mechanical Calculations on Molecules Containing Positrons

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Fundamental World of Quantum Chemistry

Abstract

Supercomputers and multi—node computer clusters have started to offer cornputer power sufficient to undertake projects in the area of molecular structure calculations that a few years ago were not at all feasible. This particularly applies to very accurate calculations concerning small molecular systems in isolation. In recent years we have carried out development and implementation of methods allowing very accurate quantum mechanical calculations of ground and excited stationary states of molecule—positron systems without assuming the Born—Oppenheimer (BO) approximation regarding the separability of the nuclear, electronic, and positronic motions. In this review we describe the current progress in the area of positron—molecule calculations, we review our approach and show our recent non—BO calculations of the ground state of the e+LiH system, and we mention some of our future projects in this area.

The matter—antimatter interaction is an issue much debated in modern science. An understanding of the structure and chemistry of molecules and clusters containing positrons can reveal new ways in which matter—antimatter transformations can be accomplished and controlled. The application of computational tools to study positron molecules and to predict their structures and chemical behavior featured in this article may inspire new experimental research in the area. Of particular interest to us is the study of positron molecules in highly excited states without resorting to the clamped—nucleus model. The work may lead to discovery of long—lived positron bound states in polar molecules. This discovery may have important consequences in the development of molecular positron “storage” capabilities and also to our fundamental understanding of the positron chemistry.

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References

  1. M. Cafiero, S. Bubin, and L. Adamowicz, Phys. Chem. Chem. Phys., invited review, 5, 1491 (2003).

    Article  CAS  Google Scholar 

  2. S. Bubin and L. Adamowicz, J. Chem. Phys., submitted for publication.

    Google Scholar 

  3. R. Ramaty and R. E. Lingenfelter, in High Energy Astrophysics, edited by J. Matthews World Scientific, New York, 1994, p.32.

    Google Scholar 

  4. L. D. Hulett Jr., D. L. Donohue, J. Xu, T. A. Lewis, S. A. McLuckey, and G. L. Glish, Chem. Phys. Lett. 216, 236 (1993).

    Article  CAS  Google Scholar 

  5. P. J. Schultz and K. G. Lynn, Rev. Mod. Phys. 60, 701 (1988).

    Article  CAS  Google Scholar 

  6. Positron Spectroscopy of Solids, edited by A. Dupasquier and A. P. Mills, Jr., IOS Press, Amsterdam, 1995.

    Google Scholar 

  7. M. Charlton and J. Humberston, Positron Physics, Cambridge, University Press, New York, 2001.

    Google Scholar 

  8. New Directions in Antimatter Chemistry and Physics, edited by C. M. Surko and F. A. Gianturco, Kluwer Academic Publishers, Dordrecht, 2001.

    Google Scholar 

  9. E. P. da Silva, J. S. E. Germano, and M. A. P. Lima, Phys. Rev. Lett. 77, 1028 (1996).

    Article  Google Scholar 

  10. G. Laricchia and C. Wilkin, Phys. Rev. Lett. 79, 2241 (1997).

    Article  CAS  Google Scholar 

  11. G. Laricchia and C. Wilkin, Nucl. Instrum. Methods Phys Res. B 143, 135 (1998).

    Article  CAS  Google Scholar 

  12. C. Kurz, S. J. Gilbert, R. G. Greaves, and C. M. Surko, Nucl. Instrum. Methods Phys. Res. B 143, 188 (1998).

    Article  CAS  Google Scholar 

  13. J. P. Sullivan, S. J. Gilbert, and C. M. Surko, Phys. Rev. Lett. 86, 1494 (2001).

    Article  CAS  Google Scholar 

  14. L. D. Barnes, S. J. Gilbert, and C. M. Surko, Phys. Rev. A 67, 032706 (2003).

    Article  CAS  Google Scholar 

  15. D. A. L. Paul and L. Saint-Pierre, Phys. Rev. Lett. 11, 493 (1963).

    Article  CAS  Google Scholar 

  16. V. I. Goldanskii and Y. S. Sayasov, Phys. Lett. 13, 300 (1964).

    Article  CAS  Google Scholar 

  17. P. M. Smith and D. A. L. Paul, Can. J. Phys. 48, 2984 (1970).

    Article  CAS  Google Scholar 

  18. C. M. Surko, A. Passner, M. Leventhal, and F. J. Wysocki, Phys. Rev. Lett. 61, 1831 (1988).

    Article  CAS  Google Scholar 

  19. G. F. Gribakin, Phys. Rev. A 61, 022720 (2000).

    Article  Google Scholar 

  20. K. Iwata, G. Gribakin, R. G. Greaves, C. Kurz, and C. M. Surko, Phys. Rev. A 61, 022719 (2000).

    Article  Google Scholar 

  21. S. J. Gilbert, C. Kurz, R. G. Greaves, and C. M. Surko, Appl. Phys. Lett. 70, 1944 (1997).

    Article  CAS  Google Scholar 

  22. J. P. Sullivan, J. P. Marler, S. J. Gilbert, S. J. Buckman, and C. M. Surko, Phys. Rev. Lett. 87, 073201 (2001).

    Article  CAS  Google Scholar 

  23. J. P. Sullivan, S. J. Gilbert, J. P. Marler, R. G. Greaves, S. J. Buckman, and C. M. Surko, Phys. Rev. A 66, 042708 (2002).

    Article  CAS  Google Scholar 

  24. S. J. Gilbert, J. P. Sullivan, R. G. Greaves, and C. M. Surko, Nucl. Instrum. Methods Phys. Res. B 171, 81 (2000).

    Article  CAS  Google Scholar 

  25. S. J. Gilbert, L. D. Barnes, J. P. Sullivan, and C. M. Surko, Phys. Rev. Lett. 88, 043201 (2002).

    Article  CAS  Google Scholar 

  26. G. Laricchia and C. Wilkin, Phys. Rev. Lett. 79, 2241 (1997).

    Article  CAS  Google Scholar 

  27. E. P. da Silva, J. S. E. Germano, and M. A. P. Lima, Phys. Rev. Lett. 77, 1028 (1996).

    Article  Google Scholar 

  28. G. Laricchia and C. Wilkin, Nucl. Instrum. Methods Phys. Res., Sect. B 143, 135 (1998).

    Article  CAS  Google Scholar 

  29. K. Iwata, R. G. Greaves, T. J. Murphy, M. D. Tinkle, and C. M. Surko, Phys. Rev. A 51, 473 (1995).

    Article  CAS  Google Scholar 

  30. J. Mitroy, M. W. J. Bromley, and G. Ryzhikh, J. Phys. B 32, 2203 (1999).

    Article  CAS  Google Scholar 

  31. G. G. Ryzhikh and J. Mitroy, J. Phys. B 33, 2229 (2000).

    Article  CAS  Google Scholar 

  32. T. J. Murphy and C. M. Surko, Phys. Rev. Lett. 67, 2954 (1991).

    Article  CAS  Google Scholar 

  33. D. M. Schrader, J. Moxom, and G. G. Ryzhikh, in New Directions in Antimatter Chemistry and Physics, edited by C. M. Surko and F. A. Gianturco, Kluwer Academic, Dordrecht, 2001, p. 263.

    Google Scholar 

  34. J. Mitroy, M. W. J. Bromley, and G. G. Ryzhikh, in New Directions in Antimatter Chemistry and Physics, edited by C. M. Surko and F. A. Gianturco, Kluwer Academic, Dordrecht, 2001, p. 199.

    Google Scholar 

  35. M. Mella, S. Chiesa, D. Bressanini, and G. Morosi, in New Directions in Antimatter Chemistry and Physics, edited by C. M. Surko and F. A. Gianturco, Kluwer Academic, Dordrecht, 2001, p. 235.

    Google Scholar 

  36. K. Strasburger, Chem. Phys. Lett. 253, 49 (1996).

    Article  CAS  Google Scholar 

  37. D. Bressanini, M. Mella, and G. Morosi, J. Chem. Phys. 108, 4756 (1998).

    Article  CAS  Google Scholar 

  38. D. Bressanini, M. Mella, and G. Morosi, J. Chem. Phys. 109, 5931 (1998).

    Article  CAS  Google Scholar 

  39. M. Mella, G. Morosi, and D. Bressanini, J. Chem. Phys. 111, 108 (1999).

    Article  CAS  Google Scholar 

  40. J. Mitroy and G. G. Ryzhikh, J. Chem. Phys. 112, 4893 (2000).

    Article  CAS  Google Scholar 

  41. M. Mella, G. Morosi, D. Bressanini, J. Chem. Phys. 112, 3928 (2000).

    Article  CAS  Google Scholar 

  42. D. Bressanini, M. Mella, and G. Morosi, J. Chem. Phys. 109, 1716 (1998).

    Article  CAS  Google Scholar 

  43. M. Mella, G. Morosi, D. Bressanini, and S. Elli, J. Chem. Phys. 113, 6154 (2000).

    Article  CAS  Google Scholar 

  44. M. Mella, D. Bressanini, and G. Morosi, J. Chem. Phys. 114, 10579 (2001).

    Article  CAS  Google Scholar 

  45. M. Mella, M. Casalegno, and G. Morosi, J. Chem. Phys. 117, 1450 (2002).

    Article  CAS  Google Scholar 

  46. J. Mitroy and G. G. Ryzhikh, J. Phys. B 34, 2001 (2001).

    Article  CAS  Google Scholar 

  47. M. Mella, S. Chiesa, and G. Morosi, J. Chem. Phys. 116, 2852 (2002).

    Article  CAS  Google Scholar 

  48. O. E. Mogensen, Positron Annihilation in Chemistry, Springer, Berlin, 1995.

    Book  Google Scholar 

  49. R. Krause-Rehberg and H. S. Leipner, Positron Annihilation in Semiconductors, Springer, Berlin, 1999.

    Google Scholar 

  50. G. G. Ryzhikh, J. Mitroy, and K. Varga, J. Phys. B 31, 3965 (1998).

    Article  CAS  Google Scholar 

  51. N. Jiang and D. M. Schrader, J. Chem. Phys. 109, 9430 (1998).

    Article  CAS  Google Scholar 

  52. K. Strasburger, J. Chem. Phys. 111, 10555 (1999).

    Article  CAS  Google Scholar 

  53. K. Strasburger, J. Chem. Phys. 114, 615 (2001).

    Article  CAS  Google Scholar 

  54. D. Bressanini, M. Mella, and G. Morosi, Phys. Rev. A 55, 200 (1997).

    Article  CAS  Google Scholar 

  55. D. Bressanini, M. Mella, and G. Morosi, Chem. Phys. Lett. 272, 370 (1997).

    Article  CAS  Google Scholar 

  56. D. Bressanini, M. Mella, and G. Morosi, Phys. Rev. A 57, 1678 (1998).

    Article  CAS  Google Scholar 

  57. M. Mella, G. Morosi, and D. Bressanini, J. Chem. Phys. 111, 108 (1999).

    Article  CAS  Google Scholar 

  58. J. Mitroy and G. G. Ryzhikh, J. Phys. B 33, 3497 (2000).

    Google Scholar 

  59. M. Mella, S. Chiesa, and G. Morosi, J. Chem. Phys. 116, 2852 (2002).

    Article  CAS  Google Scholar 

  60. S. Bubin and L. Adamowicz, J. Chem. Phys. 118, 3079 (2003).

    Article  CAS  Google Scholar 

  61. L. Adamowicz and E. A. McCullough Jr., Int. J. Quantum Chem. 24, 19 (1983)

    Article  CAS  Google Scholar 

  62. L. Adamowicz and E. A. McCullough Jr., J. Phys. Chem. 88, 2045 (1984)

    Article  CAS  Google Scholar 

  63. L. Adamowicz and E. A. McCullough Jr., Chem. Phys. Lett. 107, 72 (1984).

    Article  CAS  Google Scholar 

  64. L. Adamowicz, J. Phys. Chem. 97, 11122 (1993)

    Article  Google Scholar 

  65. N. A. Oyler and L. Adamowicz, Chem. Phys. Lett. 219, 223 (1994)

    Article  CAS  Google Scholar 

  66. G. H. Roehrig, N. A. Oyler and L. Adamowicz, Chem. Phys. Lett. 225, 265 (1994)

    Article  CAS  Google Scholar 

  67. G. H. Roehrig, N. A. Oyler and L. Adamowicz, J. Phys. Chem. 99, 14285 (1995).

    Article  CAS  Google Scholar 

  68. C. S. Hall-Black and L. Adamowicz, J. Phys. Chem. A 106, 6099 (2002)

    Article  CAS  Google Scholar 

  69. C. S. Hall and L. Adamowicz, Mol. Phys. 100, 3469, (2002).

    Article  CAS  Google Scholar 

  70. D. B. Kinghorn and L. Adamowicz, J. Chem. Phys. 106, 4589 (1997).

    Article  CAS  Google Scholar 

  71. D. B. Kinghorn and L. Adamowicz, J. Chem. Phys. 110, 7166 (1999).

    Article  CAS  Google Scholar 

  72. D. B. Kinghorn and L. Adamowicz, Phys. Rev. Lett. 83, 2541 (1999).

    Article  CAS  Google Scholar 

  73. D. B. Kinghorn and L. Adamowicz, J. Chem. Phys. 113, 4203 (2000).

    Article  CAS  Google Scholar 

  74. C. E. Scheu, D. B. Kinghorn, and L. Adamowicz, J. Phys. Chem. 114, 3393 (2001).

    Article  CAS  Google Scholar 

  75. D. B. Kinghorn and L. Adamowicz, In Pauling’s Chemical Bonding, edited by Z.B. Maksic and W.J. Orville-Thomas, (Elsevier Science, 1999), pp. 21–44.

    Google Scholar 

  76. M. Cafiero and L. Adamowicz, Chem. Phys. Lett. 335, 404 (2001).

    Article  CAS  Google Scholar 

  77. M. Cafiero and L. Adamowicz, Int. J. Quantum. Chem. 82, 151 (2001).

    Article  CAS  Google Scholar 

  78. M. Cafiero and L. Adamowicz, Phys. Rev. Lett. 88, 33002 (2002).

    Article  CAS  Google Scholar 

  79. M. Cafiero and L. Adamowicz, J. Chem. Phys, 116, 5557 (2002).

    Article  CAS  Google Scholar 

  80. M. Cafiero and L. Adamowicz, Phys. Rev. Lett. 89, 073001 (2002).

    Article  CAS  Google Scholar 

  81. E. Schwegler, P. M. Kozlowski and L. Adamowicz, J. Comp. Chem. 14, 566 (1993).

    Article  CAS  Google Scholar 

  82. P. M. Kozlowski and L. Adamowicz, Phys. Rev. A 48, 1903 (1993).

    Article  CAS  Google Scholar 

  83. P.M. Kozlowski and L. Adamowicz, Chem. Rev. 93, 2007 (1993).

    Article  CAS  Google Scholar 

  84. Z. Zhang, P. M. Kozlowski and L. Adamowicz, J. Comp. Chem. 15, 54 (1994).

    Article  Google Scholar 

  85. Z. Zhang and L. Adamowicz, J. Comp. Chem. 15, 893 (1994).

    Article  CAS  Google Scholar 

  86. P. M. Kozlowski and L. Adamowicz, Int. J. Quant. Chem. 55, 245 (1995).

    Article  CAS  Google Scholar 

  87. P. M. Kozlowski and L. Adamowicz, Int. J. Quant. Chem. 55, 367 (1995).

    Article  CAS  Google Scholar 

  88. Z. Zhang and L. Adamowicz, Int. J. Quant. Chem. 54, 281 (1995).

    Article  CAS  Google Scholar 

  89. P. M. Kozlowski and L. Adamowicz, J. Phys. Chem. 100, 6266 (1996).

    Article  CAS  Google Scholar 

  90. D. Gilmore, P. M. Kozlowski, D. B. Kinghorn and L. Adamowicz, Int. J. Quant. Chem. 63, 991 (1997).

    Article  CAS  Google Scholar 

  91. D. B. Kinghom and L. Adamowicz, J. Chem. Phys. 106, 8760 (1997).

    Article  Google Scholar 

  92. D. B. Kinghorn and L. Adamowicz, Beyond the Born—Oppenheimer Approximation, in Pauling’s Legacy, Modern Modeling of Chemical Bond, edited by Z.B. Maksic and W.J. Orville-Thomas, Elsevier Science, pp. 21–44, 1999.

    Chapter  Google Scholar 

  93. M. Cafiero and L. Adamowicz, Int. J. Quant. Chem. 82, 151 (2001).

    Article  CAS  Google Scholar 

  94. D. B. Kinghorn and L. Adamowicz, J. Chem. Phys. 110, 7166 (1999).

    Article  CAS  Google Scholar 

  95. P. M. Kozlowski and L. Adamowicz, J. Chem. Phys. 95, 6681 (1991).

    Article  CAS  Google Scholar 

  96. P. M. Kozlowski and L. Adamowicz, J. Comput. Chem. 13, 602 (1992).

    Article  CAS  Google Scholar 

  97. P. M. Kozlowski and L. Adamowicz, J. Chem. Phys. 96, 9013 (1992).

    Article  CAS  Google Scholar 

  98. P. M. Kozlowski and L. Adamowicz, J. Chem. Phys. 97, 5063 (1992).

    Article  CAS  Google Scholar 

  99. M. Cafiero, L. Adamowicz, M. Duran, and J. M. Luis, J. Molec. Struct. (THEOCHEM) 633, 113 (2003).

    Article  CAS  Google Scholar 

  100. M. Cafiero, L. Adamowicz, and J. M. Luis, J. Chem. Phys., submitted.

    Google Scholar 

  101. S. Bubin, and L. Adamowicz, J. Chem. Phys., to be submitted.

    Google Scholar 

  102. D. B. Kinghorn and R. D. Poshusta, Phys. Rev. A 47, 3671 (1993).

    Article  CAS  Google Scholar 

  103. D. B. Kinghorn and R. D. Poshusta, Int. J. Quant. Chem. 60, 213 (1996).

    Article  Google Scholar 

  104. R. D. Poshusta, Int. J. Quant. Chem. 24, 65 (1983).

    Article  CAS  Google Scholar 

  105. D. B. Kinghorn, Int. J. Quant. Chem. 57, 141 (1996).

    Article  CAS  Google Scholar 

  106. D. B. Kinghorn and L. Adamowicz, we have recently derived compact integral algorithms allowing for negative m kij powers of r ij in the ø k functions; unpublished result.

    Google Scholar 

  107. K. Varga and Y. Suzuki, Phys. Rev. C 52, 2885 (1995).

    Article  CAS  Google Scholar 

  108. K. Varga and Y. Suzuki, FEW-BODY SYST. 24, 81 (1998).

    Article  CAS  Google Scholar 

  109. M. Cafiero and L. Adamowicz, J. Chem. Phys., to be submitted.

    Google Scholar 

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Bubin, S., Cafiero, M., Adamowicz, L. (2004). Quantum Mechanical Calculations on Molecules Containing Positrons. In: Brändas, E.J., Kryachko, E.S. (eds) Fundamental World of Quantum Chemistry. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-0448-9_22

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