Application of Complete Orthonormal Sets of Ψα-Exponential-Type Orbitals to Accurate Ground and Excited States Calculations of One-Electron Diatomic Molecules Using Single-Zeta Approximation
I. Guseinov, R. Aydin, A. Bagci
Department of Physics, Faculty of Arts and Sciences, Onsekiz Mart University, Canakkale, Turkey
Application of Complete Orthonormal Sets of Ψα-Exponential-Type Orbitals to Accurate Ground and Excited States Calculations of One-Electron Diatomic Molecules Using Single-Zeta Approximation
I. Guseinov, R. Aydin, A. Bagci
Department of Physics, Faculty of Arts and Sciences, Onsekiz Mart University, Canakkale, Turkey
摘要The applicability of the complete orthonormal sets of Ψα-exponential-type orbitals introduced by one of the authors to the study of electronic structure of one electron diatomic molecules is demonstrated using single-zeta approximation. As an example of application, the calculations have been performed for σ, π and δ states of one electron homo- and hetero-nuclear diatomic molecules H2+ and HeH2+, respectively. The calculation results are presented. The values for these molecules obtained in eight-digit accuracy are close to the results of solution presented in literature.
Abstract:The applicability of the complete orthonormal sets of Ψα-exponential-type orbitals introduced by one of the authors to the study of electronic structure of one electron diatomic molecules is demonstrated using single-zeta approximation. As an example of application, the calculations have been performed for σ, π and δ states of one electron homo- and hetero-nuclear diatomic molecules H2+ and HeH2+, respectively. The calculation results are presented. The values for these molecules obtained in eight-digit accuracy are close to the results of solution presented in literature.
I. Guseinov;R. Aydin;A. Bagci. Application of Complete Orthonormal Sets of Ψα-Exponential-Type Orbitals to Accurate Ground and Excited States Calculations of One-Electron Diatomic Molecules Using Single-Zeta Approximation[J]. 中国物理快报, 2008, 25(8): 2841-2844.
I. Guseinov, R. Aydin, A. Bagci. Application of Complete Orthonormal Sets of Ψα-Exponential-Type Orbitals to Accurate Ground and Excited States Calculations of One-Electron Diatomic Molecules Using Single-Zeta Approximation. Chin. Phys. Lett., 2008, 25(8): 2841-2844.
[1] Wells B H and Wilson S J 1989 J. Phys. B 221285 [2] Kato T 1957 Commun. Pure. Appl. Math. 10 151 [3] Agmon S 1988 Anal. Math. Appl. 1 1 [4] Jones W and Etemadi B 1992 Rhys. Rev. A 473430 [5] Garcia J M, de la Vega and B. 1995 Miguel Chem.Phys. B 28 3113 [6] Guseinov I I 2002 Int. J. Quantum Chem. 90 114 [7] Condon E U and Shortley G H 1970 The Theory of AtomicSpectra (Cambridge: Cambridge University Press) [8] Powell M J D 1962 Computer J. 5 147 [9 ] Mathews J M and Fink K D 2004 Numerical MethodsUsing Matlab, 4$^{th$ edn (New York: Prentice-Hall) [10] Guseinov I I, Ayd$\imath$n R and Mamedov B A 2003 J.Mol. Model 9 325 [11] Guseinov I I and Mamedov B 2002 J. Theor. Comput.Chem. 1 17 [12] Guseinov I I and Mamedov B A 1999 J. Mol. Struct.:Theochem. 465 1 [13] Mitin A V 2006 arXiv:quant-ph/0604057 vl 9 Apr [14] Bondar D I, Hnatich M and Yu Lazur V 2006 Theor.Math. Phys. 148 1100 [15] Wells B H and Wilson S J 1986 J. Phys. B: At.Mol. Phys. 19 17 [16] Power J D 1973 Phil. Trans. R. Soc. London A 274 664 [17] Arista N R and Ponce V H 1973 J. Phys. B: At. Mol.Phys. 6 511 [18] Bates D R, Ledsham K and Steward A L 1953 Phil.Trans. R. Soc. London A 246 215 [19] Campos J A, Nascimento D L, Wolf M, Fonseca A L A andNunes O A C 2006 J. Mol. Struct. Theochem. 769 39 [20] Dias N C and Prata J N 2002 Phys. Lett. A 302261 [21] Beckel C L, Hansen B H and Peek J M 1970 J. Chem.Phys. 53 3681 [22] Shafi M and Beckel C L 1973 J. Chem. Phys. 595294 [23] Winter T D and Duncan M D and Lane N F 1977 J.Phys. B 10 285 [24] Etemadi B and Jones H W 1993 Int. J. Quantum Chem. 27 755