Theoretica chimica acta

, Volume 55, Issue 2, pp 103–115 | Cite as

Optical rotatory strength calculation by evaluating the gradient matrix through the equation of motion

  • P. R. Surján
  • M. Kertész
Original Investigations


A straightforward generalization of Linderberg's equation-of-motion-based formula for the matrix elements of the linear momentum operator is proposed. The essential feature of the modification is the abandonment of the zero differential overlap (ZDO) approximation for the electric transition integrals. It is expected that this new formula gives better transition moments and, consequently, better optical rotatory strength values. The results of this modification are analysed numerically for the rotatory strengths of the twisted hydrogen peroxide and for the 1,6-diazaspiro[4,4]-nonane-2,7-dione, C7H10N2O2, molecule, using a CNDO Hamiltonian. For both systems a definitive improvement of calculated rotatory strengths resulted.

Key words

Optical rotatory strength Linderberg's equation of motion 


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Copyright information

© Springer-Verlag 1980

Authors and Affiliations

  • P. R. Surján
    • 1
  • M. Kertész
    • 2
  1. 1.CHINOIN Pharmaceutical and Chemical WorksBudapestHungary
  2. 2.Central Research Institute for ChemistryHungarian Academy of SciencesBudapestHungary

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