Applied physics

, Volume 4, Issue 3, pp 249–256 | Cite as

Momentum distribution in benzene: A comparison of compton scattering and positron annihilation

  • D. M. Schrader
  • John K. Kim
Contributed Papers

Abstract

Probabilities in momentum space for the benzene molecule are calculated for two cases: An ordinary benzene molecule, and benzene with a bound positron which is coalesced with one of the electrons. The former probability is related to the Compton scattering profile; the latter, to angular correlation measurements made in positron annihilation experiments. In this work we make two comparisons on the basis of quantum mechanical calculations; a) between Compton scattering and positron annihilation results, and b) among the several possible positron annihilation results associated with different symmetries for the positronic molecular orbital (PMO). The Compton scattering results are found to be similar to the positron annihilation results for the more symmetrical PMOs; and all these are quite different from the positron annihilation results for the less symmetrical PMOs. A suggestion for a crucial experiment is made.

Index Headings

Momentum distribution Benzene Compton scattering Positron annihilation 

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References

  1. 1.
    D.M. Schrader: Phys. Rev. A1, 1070 (1970)CrossRefADSGoogle Scholar
  2. 2.
    V.I. Goldanskii, Yu.S. Sayasov: Zh. Eksp. Teor. Fiz.47, 1995 (1964). [Soviet Phys. 3-J.E.T.P.20, 1339 (1965)]Google Scholar
  3. 3.
    The effect of the core electrons is less pronounced for the probability function Γcs (k) than for the radial distribution function,k 2∫Γcs (k)dω (the integration is over the anglesu andv). For the latter function, the core electrons make a contribution which is small but not insignificant fork>2a.u., and they must be dealt with properly if quantitative information is desired [I.R. Epstein: J. Chem. Phys.53, 4425 (1970);CrossRefGoogle Scholar
  4. 3a.
    M. Cooper: Adv. Phys.20, 453 (1971)]CrossRefADSGoogle Scholar
  5. 4.
    Some preliminary test calculations show that a carbon is electron makes a contribution to ΓPA which is less than 1% that of a 2s electron fork≦3 a.u.Google Scholar
  6. 5.
    E.g., T. Bentley, R.F. Stewart: J. Comp. Phys.11, 127 (1973)CrossRefMathSciNetGoogle Scholar
  7. 6.
    E.g., M. Geller: J. Chem. Phys.39, 84 (1974)CrossRefGoogle Scholar
  8. 7.
    E.g., H.S. Bethe, E.E. Salpeter:Quantum Mechanics of One- and Two-Electron Atoms, (Springer-Verlag, Berlin, Göttingen, Heidelberg 1957)MATHGoogle Scholar

Copyright information

© Springer-Verlag 1974

Authors and Affiliations

  • D. M. Schrader
    • 1
  • John K. Kim
    • 1
  1. 1.Chemistry DepartmentMarquette UniversityMilwaukeeUSA

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