Theoretical Chemistry Accounts

, 131:1111 | Cite as

Electrically polarized valence basis sets for the SBKJC effective core potential developed for calculations of dynamic polarizabilities and Raman intensities

  • Luciano N. VidalEmail author
  • Pedro A. M. Vazquez
Regular Article


Sadlej’s electric polarization method of Gaussian basis functions was applied to the double-zeta effective core potential basis sets of Stevens, Basch, Krauss, Jasien and Cundari to generate a new augmented polarized valence double-zeta set, named as pSBKJC, which is appropriate for the calculation of dynamic polarizabilities and Raman intensities. The pSBKJC basis set was developed for the atoms of families 14–17 (from C to F, Si to Cl, Ge to Br and Sn to I). In order to assess the performance of this new basis set, these properties were compared to those evaluated using Sadlej’s set, available in the EMSL online library under the name of Sadlej-pVTZ. In these tests, Hartree-Fock/pSBKJC calculations have proved to be less demanding of the computer than the Hartree-Fock/Sadlej-pVTZ ones but give results in excellent agreement with those from the Sadlej-pVTZ basis set. Since the Stevens et al. pseudopotential can represent the scalar relativistic effects, the results obtained at the Hartree-Fock/pSBKJC level show a better agreement with the results of Dirac-Hartree-Fock/Sadlej-pVTZ relativistic calculations using Dyall’s spin-free Hamiltonian. When comparing Hartree-Fock/pSBKJC data of Raman scattering activities, at the excitation wavelength of 488 nm, with those of spin-free Dirac-Hartree-Fock/Sadlej-pVTZ calculations, a very good agreement is observed, where the RMS error is 8.5 Å4a.m.u.−1 and the averaged percentage error is 3.4%. In terms of computer savings in calculations of dynamic Raman intensities, a 20% reduction in the CPU time in the coupled cluster singles and doubles intensities of C6H6 and about 40% reduction in the time-dependent Hartree-Fock intensities for C6F6 molecules were attained.


Raman spectroscopy Static and dynamical polarizabilities Relativistic effects Ab initio electronic structure ECP basis set 



The authors thank the National Center for High Performance Computing in São Paulo (CENAPAD-SP) for computer time. LNV thanks the National Council for Scientific and Technological Development (CNPq) for a doctoral fellowship. The basis sets can be obtained directly from the authors: contact LNV at or PAMV at


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Copyright information

© Springer-Verlag 2012

Authors and Affiliations

  1. 1.Chemistry and Biology DepartmentFederal Technological University of ParanáCuritibaBrazil
  2. 2.Physical-Chemistry Department, Chemistry InstituteState University of CampinasCampinasBrazil

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