Theoretica chimica acta

, Volume 90, Issue 5–6, pp 441–458 | Cite as

Ab initio calculation of electronic circular dichroism fortrans-cyclooctene using London atomic orbitals

  • Keld L. Bak
  • Aage E. Hansen
  • Kenneth Ruud
  • Trygve Helgaker
  • Jeppe Olsen
  • Poul Jørgensen


The second-quantization magnetic dipole operator that arises when London atomic orbitals are used as basis functions is derived. In atomic units, the magnetic dipole operator is defined as the negative of the first derivative of the electronic Hamiltonian containing the interaction with the external magnetic field. It is shown that for finite basis sets, the gauge origin dependence of the resulting magnetic dipole operator is analogous to that of the exact operator, and that the derived operator converges to the exact operator in the limit of a complete basis set. It is also demonstrated that the length expression for the rotatory strength in linear response calculations gives gauge-origin-independent results. Sample calculations ontrans-cyclooctene and its fragments are presented. Compared to conventional orbitals, the basis set convergence of the rotatory strengths calculated in the length form using London atomic orbitals is favourable. The rotatory strength calculated fortrans-cyclooctene agrees nicely with the corresponding experimental circular dichroism spectrum, but the spectra for the fragment molecules show little resemblance with that oftrans-cyclooctene.

Key words

Electronic circular dichroism Trans-cyclooctene London atomic orbitals 


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Copyright information

© Springer-Verlag 1995

Authors and Affiliations

  • Keld L. Bak
    • 1
  • Aage E. Hansen
    • 1
  • Kenneth Ruud
    • 2
  • Trygve Helgaker
    • 2
  • Jeppe Olsen
    • 3
  • Poul Jørgensen
    • 4
  1. 1.Department of Physical ChemistryCopenhagen UniversityCopenhagen ØDenmark
  2. 2.Department of ChemistryUniversity of Oslo, BlindernOsloNorway
  3. 3.Theoretical Chemistry, Chemical CentreUniversity of LundLundSweden
  4. 4.Department of ChemistryAarhus UniversityAarhus CDenmark

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