PL EN


Preferencje help
Widoczny [Schowaj] Abstrakt
Liczba wyników
Czasopismo
2010 | 8 | 4 | 643-651
Tytuł artykułu

New analytical independent-particle model potential for atoms

Autorzy
Treść / Zawartość
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
A new analytical, independent-particle model potential with four shell-independent parameters is proposed, which is suitable for high, medium, and low Z atoms. The four parameters are determined for 101 atoms from Li to Lr by fitting the results of the X a method found in the literature. The average fitting error 0.675% of the new potential for the 101 atoms is far better than 3.92% of the widely used Green’s potential. The radial Schrödinger equation with the new potential is solved by using Numerov’s numerical method for 7 typical atoms: Ne, Ca, Zn, Zr, Sn, Yb, and Th. The energy eigenvalues, radial wave functions, and atomic ground-state energy are in good agreement with the results of the X a method. The new potential here shows greater flexibility and better accuracy compared with the Green’s potential.
Wydawca

Czasopismo
Rocznik
Tom
8
Numer
4
Strony
643-651
Opis fizyczny
Daty
wydano
2010-08-01
online
2010-05-22
Twórcy
autor
autor
  • Department of Applied Physics, University of Electronic Science and Technology, Chengdu, 610054, People’s Republic of China, sjxjx@yahoo.com.cn
Bibliografia
  • [1] D. R. Hartree, P. Camb. Philos. Soc. 24, 111 (1928) http://dx.doi.org/10.1017/S0305004100011920[Crossref]
  • [2] V. Fock, Z. Phys. 61, 126 (1930) http://dx.doi.org/10.1007/BF01340294[Crossref]
  • [3] J. S Slater, Phys. Rev. 35, 210 (1930) http://dx.doi.org/10.1103/PhysRev.35.210.2[Crossref]
  • [4] J. C. Slater, Phys. Rev. 81, 385 (1951) http://dx.doi.org/10.1103/PhysRev.81.385[Crossref]
  • [5] J. C. Slater, Quantum Theory of Molecules and Solids (McGraw-Hill, New York, 1974) 149
  • [6] E. A. Kmetko, Phys. Rev. A 1, 37 (1970) http://dx.doi.org/10.1103/PhysRevA.1.37[Crossref]
  • [7] K. Schwarz, Phys. Rev. B 5, 2466 (1972) http://dx.doi.org/10.1103/PhysRevB.5.2466[Crossref]
  • [8] Z. J. Zhang, Y. J. Zhao, X a wave functions of atoms (Atomic Energy Press, Bei Jing, 1983) 53
  • [9] J. C. Slater, K. H. Johnson, Phys. Rev. B 5, 844 (1972) http://dx.doi.org/10.1103/PhysRevB.5.844[Crossref]
  • [10] R. T. Sharp, G. K. Horton, Phys. Rev 90, 317 (1953) http://dx.doi.org/10.1103/PhysRev.90.317[Crossref]
  • [11] J. K. Talman, W. F. Shadwick, Phys. Rev. A 14, 36 (1976) http://dx.doi.org/10.1103/PhysRevA.14.36[Crossref]
  • [12] K. Aashamar, T. M. Luke, J. D. Talman, Atom. Data Nucl. Data 22, 443 (1978) http://dx.doi.org/10.1016/0092-640X(78)90019-0[Crossref]
  • [13] E. Buendía, F. J. Gálvez, P. Maldonado, A. Sarsa, J. Phys. B-At. Mol. Opt. 39, 3575 (2006) http://dx.doi.org/10.1088/0953-4075/39/17/014[Crossref]
  • [14] L. Fritsche, J. Yuan, Phys. Rev. A 57, 3425 (1998) http://dx.doi.org/10.1103/PhysRevA.57.3425[Crossref]
  • [15] A. Sarsa, F. J. Gálvez, E. Buendía, J. Phys. B-At. Mol. Opt. 36, 4393 (2003) http://dx.doi.org/10.1088/0953-4075/36/22/002[Crossref]
  • [16] W. Yang, Q. Wu, Phys. Rev. Lett. 89, 143002 (2002) http://dx.doi.org/10.1103/PhysRevLett.89.143002[Crossref]
  • [17] A. Sarsa, F. J. Gálvez, E. Buendía, Atom. Data Nucl. Data 88, 163 (2004) http://dx.doi.org/10.1016/j.adt.2004.07.003[Crossref]
  • [18] A. E. S. Green, K. L. Sellin, A. S. Zachor, Phys. Rev. 184, 1 (1969) http://dx.doi.org/10.1103/PhysRev.184.1[Crossref]
  • [19] R. E. Olson, Nucl. Instrum. Methods A 464, 93 (2001) http://dx.doi.org/10.1016/S0168-9002(01)00013-4[Crossref]
  • [20] M. Fink, A. E. S. Green, Phys. Rev. A 3, 1793 (1971) http://dx.doi.org/10.1103/PhysRevA.3.1793[Crossref]
  • [21] P. S. Ganas, A. E. S. Green, Phys. Rev. A 4, 182 (1971) http://dx.doi.org/10.1103/PhysRevA.4.182[Crossref]
  • [22] P. A. Kazaks, P. S. Ganas, A. E. S. Green, Phys. Rev. A 6, 2169 (1971) http://dx.doi.org/10.1103/PhysRevA.6.2169[Crossref]
  • [23] R. A. Berg, A. E. S. Green, Adv. Quantum Chem. 7, 276 (1973)
  • [24] G. Y. Korenman, Nucl. Phys. A 692, 145 (2001) http://dx.doi.org/10.1016/S0375-9474(01)01172-1[Crossref]
  • [25] S. Suzuki, L. Gulyás, N. Shimakura, P. D. Fainstein, T. Shirai, J. Phys. B-At. Mol. Opt. 33, 3307 (2000) http://dx.doi.org/10.1088/0953-4075/33/17/311[Crossref]
  • [26] K. R. Cornelius, K. Wojtkowski, R. E. Olson, J. Phys. B-At. Mol. Opt. 33, 2017 (2000) http://dx.doi.org/10.1088/0953-4075/33/11/304[Crossref]
  • [27] J. Neugebauer, M. Reiher, J. Hinze, Phys. Rev. A 65, 032518 (2002) http://dx.doi.org/10.1103/PhysRevA.65.032518[Crossref]
  • [28] J. Neugebauer, M. Reiher, J. Hinze, Phys. Rev. A 66, 022717 (2002) http://dx.doi.org/10.1103/PhysRevA.66.022717[Crossref]
  • [29] B. R. Johnson, J. Chem. Phys. 67, 4086 (1977) http://dx.doi.org/10.1063/1.435384[Crossref]
  • [30] E. A. Burke, J. Math. Phys. 21, 1366 (1980) http://dx.doi.org/10.1063/1.524559[Crossref]
  • [31] V. Fack, G. V. Berghe, J. Phys. A-Math. Gen. 20, 4153 (1987) http://dx.doi.org/10.1088/0305-4470/20/13/022[Crossref]
  • [32] J. C. Slater, J. H. Wood, Int. J. Quantum Chem. 4S, 3 (1971)
  • [33] C. F. Fischer, The Hartree-Fock Method for Atoms (John Wiley and Sons, New York, 1977) 30
  • [34] Z. L. Wang, C. Gong, J. He, Mastering MATLAB Scientific Calculations (Publishing House of Electronics Industry, Bei Jing, 2007) 152
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.-psjd-doi-10_2478_s11534-009-0136-3
JavaScript jest wyłączony w Twojej przeglądarce internetowej. Włącz go, a następnie odśwież stronę, aby móc w pełni z niej korzystać.