SciELO - Scientific Electronic Library Online

 
vol.48 issue1Mathieu functions revisited: matrix evaluation and generating functions author indexsubject indexsearch form
Home Pagealphabetic serial listing  

Services on Demand

Journal

Article

Indicators

Related links

  • Have no similar articlesSimilars in SciELO

Share


Revista mexicana de física

Print version ISSN 0035-001X

Rev. mex. fis. vol.48 n.1 México Feb. 2002

 

Enseñanza

 

A simple and effective approach to calculate the energy of complex atoms

 

Héctor O. Di Rocco

 

Instituto de Física Arroyo Seco, Facultad de Ciencias Exactas, Universidad Nacional del Centro Pinto 399, 7000 Tandil, Argentina.

 

Recibido el 03 de abril de 2001.
Aceptado el 24 de octubre de 2001.

 

Abstract

It is shown in this paper that, using only common concepts of well known modern physics and quantum mechanics textbooks (as one- and two-electron atoms, perturbation theory), we can develop a simple and powerful method to calculate the binding energies of complex electron configurations, as well as ionization energies, X-ray levels, etc.

Keywords: Atomic structure; Z-expansion; relativistic corrections.

 

Resumen

En este artículo se muestra que usando solamente conceptos comunes bien conocidos que aparecen en los libros de física moderna y de mecánica cuántica (átomos con uno y dos electrones, teoría de perturbaciones), podemos desarrollar un método simple y poderoso para calcular las energías de ligadura de configuraciones electrónicas complejas, energías de ionización, niveles de rayos X, etc.

Palabras clave: Estructura atómica; desarrollo en Z; correcciones relativistas.

 

PACS: 31.10; 31.15

 

DESCARGAR ARTÍCULO EN FORMATO PDF

 

12. Acknowledgments

The major part of this work was prepared when the author was at the International Centre for Theoretical Physics, as an Regular Associate Member, the Associateship privilege is strongly acknowledged. Supports of the Consejo Nacional de Investigaciones Científicas y Tecnicas (CONICET, Argentina) and the Universidad Nacional del Centro, are acknowledged. The help of Dr. Juan Pomarico in the writing of this paper is also acknowledged.

 

References

1. S. Borowitz, Fundamentals of Quantum Mechanics, (Benjamin, New York, 1967).         [ Links ]

2. E. Merzbacher, Quantum Mechanics, 2nd edition, (John Wiley, New York, 1970).         [ Links ]

3. L.D. Landau y E.M. Lifshitz, Mecánica Cuántica no Relativista, (Reverte, Barcelona, 1967).         [ Links ]

4. A. Messiah, Quantum Mechanics, (Interscience, New York, 1961).         [ Links ]

5. L. De la Peña, Introducción a la Mecánica Cuántica, (CECSA, México, 1979).         [ Links ]

6. M. Alonso and E. Finn, Física III: Fundamentos Cuánticos y Estadísticos, (Fondo Educativo Interamericano, Bogotá, 1971).         [ Links ]

7. M. Karplus and R.H. Porter, Atoms and Molecules, (Benjamín, Menlo Park, 1970).         [ Links ]

8. I.N. Levine, Química Cuántica, (Editorial AC, Madrid, 1977).         [ Links ]

9. D. Layzer, Ann. Phys. 8 (1959) 271; Ann. Phys. 29 (1964) 101; Int. J. Quant. Chem. 1S, (1967) 45.         [ Links ]

10. B. Edlen, "Atomic Spectra", edited by S. Flugge, Handbuch der Physik, (Springer-Verlag, Berlin, 1964).         [ Links ]

11 . R.M. Eisberg, Fundamentals ofModern Physics, (John Wiley, New York, 1961).         [ Links ]

12. G.K. Woodgate, Elementary Atomic Structure, 2nd edition, (Clarendon Press, Oxford, 1980).         [ Links ]

13. A. de Shalit and I. Talmi, Nuclear Shell Theory, (Ac. Press, New York, 1963).         [ Links ]

14. G. Fernandez, R. Solanilla, and H.O. Di Rocco, Rev. Mex. Fís. 44 (1998) 92.         [ Links ]

15. J.D. Jackson, Classical Electrodynamics, 2nd edition, (John Wiley, New York, 1975).         [ Links ]

16. U.I. Safronova et al., Phys. Scripta 47 (1993) 364.         [ Links ]

17. H.O. Di Rocco, Nuovo Cimento D 20 (1998) 131.         [ Links ]

18. C.E. Moore, Atomic Energy Levels, (U.S. Govt. Printing Off., Washington, 1971).         [ Links ]

19. R.J.S. Crossley and C.A. Coulson, Proc. Phys. Soc. 81 (1963) 211.         [ Links ]

20. "CRC Handbook of Chemistry and Physics," 80th edition, (CRC Press, Boca Raton, FL, 1999), p. 10.         [ Links ]

21. B.K. Agarwal, X-Ray Spectroscopy, 2nd edition, (Springer-Verlag, Berlin, 1991).         [ Links ]

22. D. Salzmann, Atomic Physics in Hot Plasmas, (Oxford Univ. Press, New York, 1998).         [ Links ]

23. W.N. Asaad, Z. Phys. 203 (1967) 362.         [ Links ]

24. J. Sucher, J. Phys. B: Atom. Molec. Phys. 11 (1978) 1515.         [ Links ]

25. M. Kregar, Phys. Scripta 29 (1984) 438; Phys. Scripta 31 (1985) 246.         [ Links ]

26. H.O. DI Di Rocco, Brazilian Journal of Physics 22 (1992) 227.         [ Links ]

27. N. Bessis and G. Bessis, J. Chem. Phys. 74 (1981) 3628.         [ Links ]

28. B.W. Shore and D.H. Menzel, Principles of Atomic Spectra, (Wiley, New York, 1968).         [ Links ]

Creative Commons License All the contents of this journal, except where otherwise noted, is licensed under a Creative Commons Attribution License