Spheroidal confinement of a single electron and of the hydrogen atom, the H+2and HeH++ molecular ions with arbitrary nuclear positions along the major axis

International Journal of Quantum Chemistry

Volumn 109, Issue 13, 2009, Pages 3041-3054

  Cruz, Salvador A ^a   Colín Rodríguez, Ricardo ^a  

^a DEPARTAMENTO DE QUÍMICA   (Mexico)

Author keywords

Hydrogen; Molecular ion; Quantum confinement; Variational method

Indexed keywords

B-SPLINE; ELECTRON ATOMS; ENERGY DEPENDENCE; EXACT CALCULATIONS; FIRST EXCITED STATE; FIXED SIZE; HYDROGEN ATOMS; MAJOR AXIS; MOLECULAR ION; MOLECULAR IONS; MOLECULAR SYSTEMS; NONSEPARABLE; NUCLEAR POSITIONS; QUANTITATIVE AGREEMENT; SINGLE ELECTRON; SIZE AND SHAPE; SPHEROIDAL CAVITIES; VARIATIONAL CALCULATION; VARIATIONAL METHOD; VARIATIONAL METHODS;

ATOMS; GROUND STATE; HYDROGEN; ION SOURCES; ORDINARY DIFFERENTIAL EQUATIONS; QUANTUM CONFINEMENT; SPLINES; VARIATIONAL TECHNIQUES;

IONS;

EID: 70349104536     PISSN: 00207608     EISSN: 1097461X     Source Type: Journal    
DOI: 10.1002/qua.22257     Document Type: Article

References (45)

1. Ashoori, N. Nature 1996, 379, 413.
2. Hawrylak, P. Phys Rev B 1999, 60, 5597.
3. Bruno, M.; Palummo, M.; Marini, A.; Del Sole R.; Ossicini, S. Phys Rev Lett 2007, 98, 036807.
4. Degoli, E.; Ossicini, S. Surf Sci 2000, 470, 32.
5. Cioslowski, J. J Am Chem Soc 1991, 113, 4139.
6. Shameema, O.; Ramachandran, C. N.; Sathyamurthy, N. J Phys Chem A 2006, 110, 2.
7. Dolmatov, V. K.; Baltenkov, A. S.; Connerade, J. P.; Manson, S. T. Radiat Phys Chem 2004, 70, 417.
8. Madjet, M. E.; Chakraborty, H. S.; Manson, S. T. Phys Rev Lett 2007, 99, 243003.
9. Yurenev, P. V.; Scherbinin, A. V.; Pupyshev, V. I. Int J Quantum Chem 2006, 106, 2201.
10. Kaczmarek, A.; Zalesny, R.; Bartkowiak, W. Chem Phys Lett 2007, 449, 314.
11. Jaskolski, W. Phys Rep 1996, 1, 271.
12. Hemley, R. J. Annu Rev Phys Chem 2000, 51, 763.
13. Bader, R. F. W.; Austen, M. A. J Chem Phys 1997, 107, 4271.
14. (a) Varshni, Y. P. J Phys B 1997, 30, L589;
15. (b) Varshni, Y. P. J Phys B 1998, 31, 2849.
16. Connerade, J. P.; Dolmatov, V. K.; Lakshmi, P. A. J Phys B 2000, 33, 251.
17. Cruz, S. A.; Díaz-García, C. Int J Quantum Chem 2008, 108, 1572.
18. Ceperley, D. M.; Adler, B. Science 1986, 231, 555.
19. Lenosky, T. J.; Kress, I. D.; Collins, L. A.; Kwon, I. Phys Rev B 1997, 55, 11907.
20. Sako, T.; Diercksen, G.H.F. J Phys C 2008, 20, 155202.
21. Ramachandran, C. N.; Roy, D.; Sathyamurthy, N. Chem Phys Lett 2008, 461, 87.
22. Soullard, J.; Santamaría, R.; Jellinek, J. J Chem Phys 2008,128, 064316.
23. Garza, J.; Vargas, R.; Aquino, N.; Sen, K. D. J Chem Sci 2005, 117, 379.
24. Sabin, J. R.; Brandas, E., Editors. Advances in Quantum Chemistry (Theory of Confined Quantum Systems), Elsevier, Inc.: Oxford, UK, 2009, Vols. 57 & 58.
25. Kang, S.; Liu, Y.-M.; Shi, T.-Y. Eur Phys J B 2008, 63, 37.
26. Chabrier, G.; Saumon, D.; Potekhin, A. Y. J Phys A 2006, 39, 4411.
27. Dickinson, B. N. J Chem Phys 1933, 1, 317.
28. Weinhold, F. J Chem Phys 1971, 54, 530.
29. Cottrell, T. L. Trans Faraday Soc 1951, 47, 337.
30. Singh, K. K. Physica 1964 30, 211.
31. (a) LeSar, R.; Hershcbach, D. R. J Phys Chem 1981, 85, 2798.
32. (b) LeSar, R.; Hershcbach, D. R. J Phys Chem 1983, 87, 5202.
33. Gorecki, J.; Byers-Brown, W. J Chem Phys 1988, 89, 2138.
34. Marin, J. L.; Muñoz, G. J Mol Struct (Theochem) 1993, 287, 281.
35. Ley-Koo, E.; Cruz, S. A. J Chem Phys 1981, 74, 4603.
36. Mateos-Cortés, S.; Ley-Koo, E.; Cruz, S. A. Int J Quantum Chem 2002, 86, 376.
37. Cruz, S. A.; Ley-Koo, E.; Marin, J. L.; Taylor-Armitage, A. Int J Quantum Chem 1995, 54, 3.
38. Patil, S. H. J Phys B 2001, 34, 1049.
39. Kang, S.; Liu, Q.; Meng, H. -Y.; Shi, T.-Y. Phys Lett A 2007, 360, 608.
40. Kato, T. Commun Pure Appl Math 1957, 10, 151.
41. Kolos, W.; Roothaan, C. C. J. Rev Mod Phys 1960, 32, 205.
42. Kultzenigg, W.; Schwarz, W. H. E. Phys Rev A 1982,26,2361.
43. Marin, J. L.; Cruz, S. A. J Phys B 1991, 24, 2899.
44. Colín-Rodríguez, R.; Cruz, S.A. (in preparation).
45. Harris, F. E.; Smith, V. H. J Phys Chem A 2005, 109, 11413.