Calculation of two-center nuclear attraction integrals of Slater type orbitals with noninteger principal quantum numbers using Guseinov’s one-center expansion formulas and Löwdin-α radial function    
Yazarlar (2)
Bahtiyar Mehmetoğlu
Tokat Gaziosmanpaşa Üniversitesi, Türkiye
Doç. Dr. Ebru ÇOPUROĞLU Tokat Gaziosmanpaşa Üniversitesi, Türkiye
Makale Türü Özgün Makale
Makale Alt Türü SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale
Dergi Adı Applied Mathematics and Computation
Dergi ISSN 0096-3003 Wos Dergi Scopus Dergi
Dergi Tarandığı Indeksler SCI-Expanded
Dergi Grubu Q4
Makale Dili İngilizce
Basım Tarihi 04-2012
Cilt No 218
Sayı 15
Sayfalar 7893 / 7897
DOI Numarası 10.1016/j.amc.2012.01.069
Makale Linki http://linkinghub.elsevier.com/retrieve/pii/S0096300312001208
Özet
In this work, by the use of Guseinov's one-center expansion formulas and Löwdin-α radial function, the series expansion relations in molecular coordinate system are established for the two-center nuclear attraction integrals of noninteger n * Slater type orbitals in terms of basic two-center nuclear attraction integrals over integer n Slater functions. The Löwdin α-radial function convoluted with the Guseinov's one-center expansion formulas is one of the most important ingredients for accurate and efficient implementation of electronic structure calculation methods regardless of Hartree-Fock-Roothaan (HFR) method. The proposed algorithm shows better performance in arbitrary quantum numbers, screening constants and location of orbitals leading to significantly reduced run times. © 2012 Elsevier Inc. All rights reserved.
Anahtar Kelimeler
Gamma functions | Guseinov Ψ -exponential type orbitals α | Noninteger principal quantum numbers | Nuclear attraction integrals | Slater type orbitals