Collect. Czech. Chem. Commun. 2004, 69, 279-291
https://doi.org/10.1135/cccc20040279

Evaluation of Two-Center Overlap Integrals Over Slater-Type Orbitals Using Fourier Transform Convolution Theorem

Telhat Özdogan

Department of Physics, Education Faculty, Ondokuz Mayis University, 05189 Amasya, Turkey

References

1. Kato T.: Commun. Pure Appl. Math. 1951, 10, 151. <https://doi.org/10.1002/cpa.3160100201>
2. Agmon S.: Lectures on Exponential Decay of Solutions of Second-Order Elliptic Equations: Bound on Eigenfunctions of N-Body Schrödinger Operators. Princeton University Press, Princeton (NJ) 1982.
3. Rico J. F., Lopez R., Ramirez G.: J. Comput. Chem. 1988, 9, 790. <https://doi.org/10.1002/jcc.540090710>
4. Bouferguene A., Rinaldi D.: Int. J. Quantum Chem. 1994, 30, 21. <https://doi.org/10.1002/qua.560500103>
5a. Guseinov I. I.: J. Phys. B: At., Mol. Opt. Phys. 1970, 3, 1399. <https://doi.org/10.1088/0022-3700/3/11/001>
5b. Guseinov I. I., Mamedov B. A.: J. Mol. Struct. (THEOCHEM) 1999, 465, 1. <https://doi.org/10.1016/S0166-1280(98)00129-8>
5c. Guseinov I. I., Mamedov B. A.: Theor. Chem. Acc. 2000, 105, 93. <https://doi.org/10.1007/s002140000184>
5d. Guseinov I. I., Öztekin E., Hüseyin S.: J. Mol. Struct. (THEOCHEM) 2001, 536, 59. <https://doi.org/10.1016/S0166-1280(00)00600-X>
5e. Guseinov I. I., Mamedov B. A., Orbay M., Özdogan T.: Commun. Theor. Phys. 2000, 33, 161. <https://doi.org/10.1088/0253-6102/33/2/161>
5f. Özdogan T., Orbay M.: Int. J. Quantum Chem. 2002, 87, 15. <https://doi.org/10.1002/qua.10052>
5g. Özdogan T., Orbay M., Gümüş S.: Commun. Theor. Phys. 2002, 37, 711. <https://doi.org/10.1088/0253-6102/37/6/711>
5h. Özdogan T.: Int. J. Quantum Chem. 2003, 52, 419. <https://doi.org/10.1002/qua.10528>
5i. Gümüş S., Özdogan T.: J. Chin. Chem. Soc. 2003, in press.
6. Magnasco V., Rapallo A., Casanova M.: Int. J. Quantum Chem. 1999, 73, 333. <https://doi.org/10.1002/(SICI)1097-461X(1999)73:4<333::AID-QUA2>3.0.CO;2-7>
7. Carrier G. F., Krook M., Pearson C. E.: Functions of a Complex Variable. McGraw–Hill, New York 1966.
8a. Geller M.: J. Chem. Phys. 1962, 36, 2424. <https://doi.org/10.1063/1.1732902>
8b. Geller M.: J. Chem. Phys. 1963, 39, 84. <https://doi.org/10.1063/1.1734036>
8c. Silverstone H. J.: J. Chem. Phys. 1966, 45, 4337. <https://doi.org/10.1063/1.1727493>
8d. Silverstone H. J.: J. Chem. Phys. 1967, 46, 4368. <https://doi.org/10.1063/1.1840554>
8e. Edwards S. A., Gottlieb H. P. W., Doddrell D. M.: Mol. Phys. 1979, 38, 1147. <https://doi.org/10.1080/00268977900102311>
8f. Kaijser P., Smith V. H.: Adv. Quantum Chem. 1977, 10, 37. <https://doi.org/10.1016/S0065-3276(08)60578-X>
8g. Henneker W. H., Cade P. E.: Chem. Phys. Lett. 1968, 2, 575. <https://doi.org/10.1016/0009-2614(63)80019-6>
8h. Filter E., Steinborn E. O.: J. Math. Phys. 1978, 19, 79. <https://doi.org/10.1063/1.523517>
8i. Trivedi H. P., Steinborn E. O.: Phys. Rev. A: At., Mol., Opt. Phys. 1983, 27, 670. <https://doi.org/10.1103/PhysRevA.27.670>
8j. Weniger E. J., Steinborn E. O.: Phys. Rev. A: At., Mol., Opt. Phys. 1983, 28, 2026. <https://doi.org/10.1103/PhysRevA.28.2026>
8k. Weniger E. J., Steinborn E. O.: J. Chem. Phys. 1983, 78, 6121. <https://doi.org/10.1063/1.444574>
8l. Weniger E. J., Steinborn E. O.: Theor. Chim. Acta 1988, 73, 323. <https://doi.org/10.1007/BF00527739>
8m. Antlovic D., Delhalle J.: Phys. Rev. A: At., Mol., Opt. Phys. 1980, 21, 1815. <https://doi.org/10.1103/PhysRevA.21.1815>
8n. Guseinov I. I., Ilik A., Allahverdiyev S. I.: Int. J. Quantum Chem. 1996, 60, 637. <https://doi.org/10.1002/(SICI)1097-461X(1996)60:2<637::AID-QUA1>3.0.CO;2-Y>
8o. Öztekin E., Yavuz M., Atalay Ş.: Theor. Chem. Acc. 2001, 106, 264.
9. Gradshteyn I. S., Ryzhik I. M.: Tables of Integrals, Series and Products. Academic Press, New York 1995.
10. Weisbluth M.: Atoms and Molecules. Academic Press, New York 1978.
11. Condon E. U., Shortley G. H.: The Theory of Atomic Spectra. Cambridge University Press, Cambridge 1970.