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Universal relation between spectroscopic constants

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Abstract

A universal relation between the Sutherland parameter, Δ (= k e r /2 e /2D e) and the dimensionless parameter G (= 8ω e x e /B e ), has been established using 40 electronic states, which include ground as well as excited states of polar and non-polar molecules. This relation is used to predict the dissociation energy of four lowest electronic states of S 2 molecule. The respective values for the states X 3Σ /− g , a 1Δ g , b 1Σ /+ g and B 3Σ /− u turn out to be 36557, 31431, 28247 and 13429 cm−1, and are in good agreement with the experimental values. Furthermore, metastable states a 1Δ g and b 1Σ /+ g of S 2 are shown to dissociate into 3 P 1 + 3 P 1 as against the dissociation of X 3Σ /− g into 3 P 2 + 3 P 1. In addition, a relation between Sutherland parameter Δ and internuclear distance r e , viz., Δ=2.2r e has been obtained for the ground state of alkali diatomic molecules.

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References

  1. Y P Varshni, Rev. Mod. Phys. 29, 664 (1957); 31, 839 (1959)

    Article  ADS  Google Scholar 

  2. J L Graves and R G Parr, Phys. Rev. A31, 1 (1985)

    ADS  Google Scholar 

  3. Y P Varshni and R C Shukla, J. Chem. Phys. 40, 250 (1964); Rev. Mod. Phys. 35, 130 (1963)

    Article  ADS  Google Scholar 

  4. G Van Hooydonk, Z Naturforsch 37a, 710, 971 (1982)

    ADS  Google Scholar 

  5. J Ferrante, J R Smith and J H Rose, Phys. Rev. Lett. 50, 1383 (1983)

    Article  ADS  Google Scholar 

  6. J R Smith, M Schlosser, W Leaf, J Ferrante and J H Rose, Phys. Rev. A39, 514 (1989)

    ADS  Google Scholar 

  7. J Tellinghuisen, S D Henderson, D Austin, K P Lawley and R J Donovan, Phys. Rev. A39, 925 (1989)

    ADS  Google Scholar 

  8. K S Jhung, I H Kim, K B Hahn and K H Oh, Phys. Rev. A40, 7409 (1989)

    ADS  Google Scholar 

  9. F Jenc, Adv At. Mol. Phys. 19, 265 (1983)

    Article  Google Scholar 

  10. F Jenc, Phys. Rev. A42, 403 (1990)

    ADS  Google Scholar 

  11. László von Szentpaly, Chem. Phys. Lett. 245, 209 (1995)

    Article  ADS  Google Scholar 

  12. R Mulliken, J. Phys. Chem. 56, 295 (1952); in Quantum theory of atoms, molecules and the solid state edited by P O Löwdin (Academic Press, New York, 1996) p. 231

    Article  Google Scholar 

  13. K P Huber and G Herzberg, Molecular spectra and molecular structure IV constants of diatomic molecules (Van Nostrand, New York, 1979)

    Google Scholar 

  14. G D Brabson and R L Volkmar, J. Chem. Phys. 58, 3209 (1972)

    Article  ADS  Google Scholar 

  15. S Kaur and C G Mahajan, J. Quant. Spectrosc. Radiat. Transfer 69, 111 (2001)

    Article  ADS  Google Scholar 

  16. G R Freeman, N H March and L von Szentpaly, Theo. Chem. 11, 394 (1997)

    Google Scholar 

  17. A A Radzig and B M Smirnov, Reference data on atoms, molecules and ions (Springer, Berlin, 1985)

    Google Scholar 

  18. J M Ricks and R F Barrow, Can. J. Phys. 47, 2423 (1969)

    ADS  Google Scholar 

  19. J Berkowitz and W A Chupka, J. Chem. Phys. 50, 4245 (1969)

    Article  ADS  Google Scholar 

  20. P Budininkas, R K Edwards and P G Wahlbeck, J. Chem. Phys. 48, 2859 (1968)

    Article  ADS  Google Scholar 

  21. I Barnes, K H Becker and E H Fink, Chem. Phys. Lett. 67 314 (1979)

    Article  ADS  Google Scholar 

  22. G Herzberg, Molecular spectra and molecular structure (Van Nostrand Reinhold Co., New York, 1950) vol. 1

    Google Scholar 

  23. B Barakat, R Bacis, F Carrot, S Churassy, P Crozet, F Martin and J Verges, J. Chem. Phys. 102, 215 (1986)

    Article  Google Scholar 

  24. R F Barrow, J Verges, C Effantin, K Hussein and J d’Incan, Chem. Phys. Lett. 104, 179 (1984)

    Article  ADS  Google Scholar 

  25. A J Ross, P Crozet, J d’Incan and C Effantin, J. Phys. B19, L145 (1986)

  26. C Amiot, P Crozet and J Verges, Chem. Phys. Lett. 121, 390 (1985)

    Article  ADS  Google Scholar 

  27. W Weickenmeier, U Diemer, M Wahl, M Raab, W Demtroder and W Muler, J. Chem. Phys. 82, 5354 (1985)

    Article  ADS  Google Scholar 

  28. A E Douglas and A R Hoy, Can. J. Phys. 53, 1965 (1975)

    Article  ADS  Google Scholar 

  29. J A Coxon, J. Mol. Spectrosc. 82, 264 (1980)

    Article  ADS  Google Scholar 

  30. R Bacis, D Cerny and F Martin, J. Mol. Spectrosc. 118, 434 (1986)

    Article  ADS  Google Scholar 

  31. J A Coxon and M A Wickramaaratchi, J. Mol. Spectrosc. 79, 380 (1980)

    Article  ADS  Google Scholar 

  32. J C D Brand, D Bussieres and A R Hoy, J. Mol. Spectrosc. 113, 388 (1985)

    Article  ADS  Google Scholar 

  33. G Di Lonardo and A E Douglas, Can. J. Phys. 51, 434 (1973)

    ADS  Google Scholar 

  34. R J Spindler, J. Quant. Spectrosc. Radiat. Transfer 9, 597 (1969)

    Article  ADS  Google Scholar 

  35. J D Simmons, A G Maki and J T Hougen, J. Mol. Spectrosc. 74, 70 (1979)

    Article  ADS  Google Scholar 

  36. P R Herman, Ph.D. Thesis (Univ. of Toronto, 1986)

  37. Paul H Krupenie, J. Phys. Ref. Data 1(2), 423 (1972)

    Article  Google Scholar 

  38. E H Fink and H Kruse, J. Mol. Spectrosc. 119, 377 (1986)

    Article  ADS  Google Scholar 

  39. F Jenc and B A Brandt, Phys. Rev. A39, 4561 (1989) and references therein

    ADS  Google Scholar 

Download references

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Authors and Affiliations

  1. Department of Physics, Centre for Advanced Study in Physics, Panjab University, 160 014, Chandigarh, India

    Sarvpreet Kaur & C G Mahajan

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  1. Sarvpreet Kaur
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  2. C G Mahajan
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Correspondence to C G Mahajan.

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Kaur, S., Mahajan, C.G. Universal relation between spectroscopic constants. Pramana - J Phys 59, 479–486 (2002). https://doi.org/10.1007/s12043-002-0045-0

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  • DOI: https://doi.org/10.1007/s12043-002-0045-0

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