Evaluation of two-center overlap integrals using slater type orbitals in terms of bessel type orbitals

Journal of Mathematical Chemistry

Volumn 37, Issue 1, 2005, Pages 27-35

  Özdoǧan, Telhat ^a   Orbay, Metin ^a   Deǧirmenci, Salih ^a  

^a ONDOKUZ MAYIS UNIVERSITY   (Turkey)

Author keywords

Bessel type orbital; Slater type orbital; two center overlap integral

Indexed keywords

ARTICLE; MATHEMATICAL ANALYSIS; MATHEMATICAL COMPUTING; QUANTUM CHEMISTRY;

EID: 10244241818     PISSN: 02599791     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10910-004-7661-5     Document Type: Article

References (39)

1. T. Kato, Commun. Pure Appl. Math. 10 (1957) 151.
2. S. Agmon, Lectures on Exponential Decay of Solutions of Second-Order Elliptic Equations: Bounds of Eigenfunctions of N-Body Schrödinger Operators (Princeton University Press, 1982).
3. F.E. Harris, Int. J. Quantum. Chem. 88 (2002) 701.
4. a. H. Safouhi, J. Phys. A: Math. Gen. 34 (2001) 2801;
5. b. H. Safouhi and L. Berlu, Internet Electron. J. Mol. Des. 3 (2004) 83.
6. a. E.O. Steinborn and E. Filter, Theor. Chim. Acta., 38 (1975) 273;
7. b. E.O. Steinborn and E. Filter, Phys. Rev. A 18 (1978) 1.
8. B.K. Novosadov, J. Mol. Struct. (Theochem) 664 (2003) 55.
9. a. T. Özdoǧan and M. Orbay, Int. J. Quantum Chem. 87 (2002) 15;
10. b. B.A. Mamedov, M. Kara and M. Orbay, Chinese J. Phys. 40 (2002) 283;
11. c. I.I. Guseinov, B.A. Mamedov, M. Orbay and T. Özdoǧan, Commun. Theor. Phys. 33 (2000) 161;
12. d. T. Özdoǧan, Int. J. Quantum Chem. 92 (2003) 419;
13. e. T. Özdoǧan, S. Gümüş and M. Kara, J. Math. Chem. 33 (2003) 181;
14. f. T. Özdoǧan, Int. J. Quantum Chem. 100 (2004) 69.
15. E.U. Condon and G.H. Shortly, The Theory of Atomic Spectra (Cambridge University Press, 1970).
16. a. E.O. Steinborn, H.H. Homeier, J.F. Rico, I. Ema, R.Lopez and G. Ramirez, J. Mol. Struct (Theochem) 490 (1999) 201;
17. b. J.F. Rico, J. Comput. Chem. 14 (1993) 1203.
18. a. P. Trivedi and E.O. Steinborn, J. Chem. Phys. 78 (1983) 6121;
19. b. P. Trivedi and E.O. Steinborn, Phys. Rev. A. 38 (1988) 3857.
20. D. Antolovic and J. Delhalle, Phys. Rev A, 21, (1980) 1815.
21. a. I.I. Guseinov, Phys. Rev. A, 32, (1985) 1864;
22. b. I.I. Guseinov, J. Phys. B, 3 (1970) 1399;
23. c. I.I. Guseinov and B.A. Mamedov, J. Mol. Struct. (Theochem), 677 (2004) 7;
24. d. I.I. Guseinov, Int. J. Quantum. Chem. 91 (2003) 62.
25. J.A. Pople and D.L. Beveridge: Approximate Molecular Orbital Theory (Mc-Graw Hill, 1970).
26. T. Özdoǧan and M. Orbay. Czech. J. Phys. 52 (2002) 1297.
27. R.S. Mulliken, C.A. Orloff and H. Orloff, J. Chem. Phys. 17 (1949) 1248.
28. I.I. Guseinov, A. Özmen, Ü. Atav, H. Yüksel, Int. J. Quantum. Chem. 67 (1998) 199.
29. C. Zener and V. Guillemin, Phys. Rev. 34 (1929) 999.
30. F.J. Corbato, J. Chem. Phys. 24 (1956) 452.
31. F.E. Harris, Int. J. Quantum Chem., 100 (2004) 142.
32. R.B. Paris, J. Comput. Appl. Math. 148 (2002) 323.
33. S. Wolfram, The Mathematica Book, (Cambridge University Press, Reading, MA, 1999).
34. T. Özdoǧan, Collect. Czech. Chem. Commun. 69 (2004) 279.
35. E. Öztekin, M. Yavuz and S. Atalay, Theor. Chem. Acc. 106 (2001) 264.
36. a. I.I. Guseinov and B.A. Mamedov, J. Comput. Phys. 174 (2001) 428;
37. b. I.I. Guseinov and B.A. Mamedov, Int. J. Quantum Chem. 93 (2003) 9;
38. c. I.I. Guseinov and B.A. Mamedov J. Mol. Model. 8 (2002) 272;
39. d. I.I. Guseinov, R. Aydin and B.A. Mamedov, J. Mol. Model. 9 (2003) 325.