Skip to main content
Log in

Spin-orbit splitting for inner-shell 2p states

  • Original Paper
  • Published:
Journal of Molecular Modeling Aims and scope Submit manuscript

Abstract

A strategy to calculate spin-orbit splitting for inner-shell transitions at an ab initio level is presented. The initial wave function is calculated for a spinless Hamiltonian at a multiconfigurational level, with just a few configurations, followed by multireference configuration interaction in order to establish a set of singlet and triplet states at 2p excitation edge. Then, the full Breit-Pauli Hamiltonian is formed and diagonalized on this state basis. The spin-orbit splitting is determined by a graphical procedure depending on the intensity of the transition from ground state. The specific states studied are those originating from 2p transitions in argon, HCl, H2S, and PH3.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4

Similar content being viewed by others

References

  1. McWeeny R (1974) Mol Phys 28:1273

    Article  CAS  Google Scholar 

  2. Besley NA, Gilbert ATB, Gill PMW (2009) J Chem Phys 130:124308

    Google Scholar 

  3. Asmuruf FA, Besley NA (2008) Chem Phys Lett 463:267

    CAS  Google Scholar 

  4. Rocha AB (2011) J Chem Phys 134:024107

    Google Scholar 

  5. Rocha AB, de Moura CEV (2011) J Chem Phys 135:224112

    Google Scholar 

  6. de Moura CEV, Oliveira RR, Rocha AB (2013) J Mol Model 19:2027

    Article  CAS  Google Scholar 

  7. Bernini RB, da Silva LBG, Rodrigues FN, Coutinho LH, Rocha AB (2012) J Chem Phys 136:144307

    CAS  Google Scholar 

  8. Børve KJ (1996) Chem Phys Lett 262:801

    Google Scholar 

  9. Bethe HA, Salpeter EE (1977) Quantum Mechanics of the One and Two Electron Atoms. Plenum, New York

    Book  Google Scholar 

  10. Furlani TR, King HF (1985) J Chem Phys 82:5577

    CAS  Google Scholar 

  11. Fedorov DG, Gordon MS (2000) J Chem Phys 112:5611

    CAS  Google Scholar 

  12. Berning A, Schweizer M, Werner H-J, Knowles PJ, Palmieri P (2000) Mol Phys 98:1823

    Article  CAS  Google Scholar 

  13. MOLPRO, version 2012.1, a package of ab initio programs, Werner H-J, Knowles PJ, Knizia G, Manby FR, Schütz M, and others, see http://www.molpro.net

  14. King GC, Tronc M, Read FH, Bradford RC (1977) J Phys B Atom Molec Phys 10:2479

    Article  CAS  Google Scholar 

  15. Ren L-M, Wang Y-Y, Li D-D, Yuan Z-S, Zhu L-F (2011) Chin Phys Lett 28:053401

    Article  Google Scholar 

  16. Dyall KG, Larkins FP, Bomben KD, Thomas TD (1981) J Phys B At Mol Phys 14:2551

    Article  CAS  Google Scholar 

  17. Hayes H, Brown FC (1972) Phys Rev A 6:21

    Article  Google Scholar 

  18. Ninomiya K, Ishiguro E, Suehiro I, Akira M, Sasaki T (1981) J Phys B At Mol Phys 14:1777

    Article  CAS  Google Scholar 

  19. Shaw DA, Cvejanovic D, King GC, Read FH (1984) J Phys B At Mol Phys 17:1173

    Article  CAS  Google Scholar 

  20. Svensson S, Naves de Brito A, Keane MP, Correia N, Karlsson L (1991) Phys. Rev. A 43:6441.

  21. Siggel MRF, Field C, Sæthre LJ, Børve KJ, Thomas TD (1996) J Chem Phys 105:9035

    CAS  Google Scholar 

  22. Turri G, Snell G, Langer B, Martins M, Kukk E, Canton SE, Bilodeau RC, Cherepkov N, Bozek JD (2004) Phys Rev A 70:022515

    Article  Google Scholar 

Download references

Acknowledgments

The author would like to acknowledge CNPq and FAPERJ for financial support.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Alexandre B. Rocha.

Additional information

This paper belongs to Topical Collection Brazilian Symposium of Theoretical Chemistry (SBQT2013)

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Rocha, A.B. Spin-orbit splitting for inner-shell 2p states. J Mol Model 20, 2355 (2014). https://doi.org/10.1007/s00894-014-2355-9

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/s00894-014-2355-9

Keywords

Navigation