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Ozdogan (Int. J. Quantum Chem., 92 (2003) 419) published formulas for evaluating the multielectron multicenter molecular integrals over Slater-type orbitals (STOs). It is demonstrated that the formulas presented in this work are not…

化学物理 · 物理学 2007-05-23 I. I. Guseinov

In a recent paper Ozdogan (Z. Naturforsch, 59a(2004)743) published formulas for evaluating the two-center overlap and nuclear attraction integrals over integer and noninteger Slater type orbitals. The purpose of this article is to point out…

化学物理 · 物理学 2007-05-23 I. I. Guseinov

The comments of Guseinov are critically analyzed. Contrary to his comments, it is pointed out that our formula for two-center overlap integrals over Slater type orbitals have been derived independently, not derived from the earlier works of…

化学物理 · 物理学 2007-05-23 Sedat Gumus , Telhat Ozdogan

The comments of Guseinov on our paper (T. Ozdogan, S. Gumus and M. Kara, J. Math. Chem., 33 (2003) 181) are critically analyzed. Contrary to his comments, it is proved that the expansion formula for the product of two normalized associated…

数学物理 · 物理学 2007-05-23 Telhat Ozdogan

This article is a thorough critique to the Weniger's comments made to our papers published in prestigious journals in the recent years. A detailed and critical examination of the arguments that led to the suggested comment by Weniger…

化学物理 · 物理学 2011-11-10 I. I. Guseinov

The Slater-type orbital basis with non-integer principal quantum numbers is a physically and mathematically motivated choice for molecular electronic structure calculations in both non-relativistic and relativistic theory. The…

量子物理 · 物理学 2022-03-15 A Bagci , Philip E Hoggan , M Adak

The comments of Guseinov on our recent paper (Czech. J. Phys., 52 (2002)1297) have been analyzed critically. It is shown that his comments are irrelevant and also unjust. In contrast to his comment, it is proved that the presented formulae…

化学物理 · 物理学 2007-05-23 Telhat Ozdogan , Metin Orbay

The definition for the Slater-type orbitals is generalized. Transformation between an orthonormal basis function and the Slater-type orbital with non-integer principal quantum numbers is investigated. Analytical expressions for the linear…

化学物理 · 物理学 2022-10-11 A. Bağcı , P. E. Hoggan

The new combined formulas have been established for the complex and real rotation-angular functions arising in the evaluation of two-center overlap integrals over arbitrary atomic orbitals in molecular coordinate system. These formulas can…

化学物理 · 物理学 2013-02-12 I. I. Guseinov

A unified formula for analytical evaluation of two-center exchange, hybrid and coulombic type integrals is presented.

数学物理 · 物理学 2011-04-20 E. V. Rothstein

The Slater orbitals are the natural basis functions in quantum molecular calculations. Three-center repulsion Coulomb-exchange integrals over Slater orbitals are evaluated analytically with arbitrary orbital exponents, first for linear…

数学物理 · 物理学 2012-09-18 Telhat Özdogan , Maria Belen Ruiz

The two-center two-electron Coulomb and hybrid integrals arising in relativistic and nonrelativistic ab-initio calculations of molecules are evaluated over the non-integer Slater-type orbitals via ellipsoidal coordinates. These integrals…

量子物理 · 物理学 2014-05-22 Ali Bağcı , Philip E. Hoggan

Recently published formulas for the calculation of radial part of overlap integrals (E.Oztekin, M.Yavuz, S.Atalay, Theor.Cmem.Acc., (2001), 106, 264) are critically analyzed. It is demonstrated that the presented in this work formulas are…

化学物理 · 物理学 2007-05-23 I. I. Guseinov

The series expansion formulae are established for the one- and two-center charge densities over complete orthonormal sets of exponential type orbitals introduced by the author. Three-center overlap integrals of appearing in these relations…

化学物理 · 物理学 2009-02-04 I. I. Guseinov

Using one-center expansion relations for the Slater type orbitals (STOs) of noninteger principal quantum numbers in terms of integer n STOs derived in this study with the help of - exponential type orbitals (-ETOs, the general formulas are…

化学物理 · 物理学 2007-06-13 I. I. Guseinov

This work describes the fully analytical method for calculation of the molecular integrals over Slater-type orbitals with non-integer principal quantum numbers. These integrals are expressed through relativistic molecular auxiliary…

化学物理 · 物理学 2020-04-08 A. Bagci , P. E. Hoggan

The electron repulsion integrals over the Slater-type orbitals with non-integer principal quantum numbers are considered. These integrals are useful in both non-relativistic and relativistic calculations of many-electron systems. They…

量子物理 · 物理学 2023-01-05 A. Bağcı , Gustavo A. Aucar

The method of evaluation outlined in a previous work has been utilized here to evaluate certain other three- electron and four- electron atomic integrals involving s Slater-type orbitals and exponential correlation with unlinked $r_{ij}$'s.…

原子物理 · 物理学 2017-01-23 B Padhy

In this paper we consider calculation of two-centre exchange integrals over Slater-type orbitals (STOs). We apply the Neumann expansion of the Coulomb interaction potential and consider calculation of all basic quantities which appear in…

量子物理 · 物理学 2016-11-04 Michał Lesiuk , Robert Moszynski

Complete orthonormal sets of exponential-type orbitals with non-integer principal quantum numbers are discussed as basis functions in non-relativistic Hartree-Fock-Roothaan electronic structure calculations of atoms. A method is proposed to…

量子物理 · 物理学 2025-07-08 Ali Bagci , Philip E. Hoggan
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