UNIFIED TREATMENT OF ONE- AND TWO-CENTER ONE-RANGE ADDITION THEOREMS FOR COMPLETE ORTHONORMAL SETS OF SELF-FRICTIONAL EXPONENTIAL TYPE ORBITALS AND NONINTEGER n SLATER FUNCTIONS

Using L(α*) -self-frictional Laguerre polynomials (L(α*) -SFLPs) introduced by the author in standard convention, the combined theory of one- and two-center one-range addition theorems for complete orthonormal sets of ψ(α*) -self-frictional exponential type orbita...

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Autor principal:	GUSEINOV,I.I
Lenguaje:	English
Publicado:	Sociedad Chilena de Química 2015
Materias:	Addition theorems Self-frictional field Laguerre polynomials Exponential type orbitals
Acceso en línea:	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0717-97072015000200014
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spelling	oai:scielo:S0717-970720150002000142019-10-08UNIFIED TREATMENT OF ONE- AND TWO-CENTER ONE-RANGE ADDITION THEOREMS FOR COMPLETE ORTHONORMAL SETS OF SELF-FRICTIONAL EXPONENTIAL TYPE ORBITALS AND NONINTEGER n SLATER FUNCTIONSGUSEINOV,I.I Addition theorems Self-frictional field Laguerre polynomials Exponential type orbitals Using L(α) -self-frictional Laguerre polynomials (L(α) -SFLPs) introduced by the author in standard convention, the combined theory of one- and two-center one-range addition theorems for complete orthonormal sets of ψ(α) -self-frictional exponential type orbitals (ψ(α) -SFETOs) and χ -noninteger n Slater type orbitals ( -NISTOs) in terms of χ -integer n STOs (χ -ISTOs) is established, where α* are the integer (α* = α, −∞ < α ≤ 2) or noninteger (α* ≠ α, −∞ < α < 3) SF quantum numbers. The expansion coefficients of these one-range addition theorems are expressed through the overlap integrals of χ -NISTOs.info:eu-repo/semantics/openAccessSociedad Chilena de QuímicaJournal of the Chilean Chemical Society v.60 n.2 20152015-06-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0717-97072015000200014en10.4067/S0717-97072015000200014
institution	Scielo Chile
collection	Scielo Chile
language	English
topic	Addition theorems Self-frictional field Laguerre polynomials Exponential type orbitals
spellingShingle	Addition theorems Self-frictional field Laguerre polynomials Exponential type orbitals GUSEINOV,I.I UNIFIED TREATMENT OF ONE- AND TWO-CENTER ONE-RANGE ADDITION THEOREMS FOR COMPLETE ORTHONORMAL SETS OF SELF-FRICTIONAL EXPONENTIAL TYPE ORBITALS AND NONINTEGER n SLATER FUNCTIONS
description	Using L(α) -self-frictional Laguerre polynomials (L(α) -SFLPs) introduced by the author in standard convention, the combined theory of one- and two-center one-range addition theorems for complete orthonormal sets of ψ(α) -self-frictional exponential type orbitals (ψ(α) -SFETOs) and χ -noninteger n Slater type orbitals ( -NISTOs) in terms of χ -integer n STOs (χ -ISTOs) is established, where α* are the integer (α* = α, −∞ < α ≤ 2) or noninteger (α* ≠ α, −∞ < α < 3) SF quantum numbers. The expansion coefficients of these one-range addition theorems are expressed through the overlap integrals of χ -NISTOs.
author	GUSEINOV,I.I
author_facet	GUSEINOV,I.I
author_sort	GUSEINOV,I.I
title	UNIFIED TREATMENT OF ONE- AND TWO-CENTER ONE-RANGE ADDITION THEOREMS FOR COMPLETE ORTHONORMAL SETS OF SELF-FRICTIONAL EXPONENTIAL TYPE ORBITALS AND NONINTEGER n SLATER FUNCTIONS
title_short	UNIFIED TREATMENT OF ONE- AND TWO-CENTER ONE-RANGE ADDITION THEOREMS FOR COMPLETE ORTHONORMAL SETS OF SELF-FRICTIONAL EXPONENTIAL TYPE ORBITALS AND NONINTEGER n SLATER FUNCTIONS
title_full	UNIFIED TREATMENT OF ONE- AND TWO-CENTER ONE-RANGE ADDITION THEOREMS FOR COMPLETE ORTHONORMAL SETS OF SELF-FRICTIONAL EXPONENTIAL TYPE ORBITALS AND NONINTEGER n SLATER FUNCTIONS
title_fullStr	UNIFIED TREATMENT OF ONE- AND TWO-CENTER ONE-RANGE ADDITION THEOREMS FOR COMPLETE ORTHONORMAL SETS OF SELF-FRICTIONAL EXPONENTIAL TYPE ORBITALS AND NONINTEGER n SLATER FUNCTIONS
title_full_unstemmed	UNIFIED TREATMENT OF ONE- AND TWO-CENTER ONE-RANGE ADDITION THEOREMS FOR COMPLETE ORTHONORMAL SETS OF SELF-FRICTIONAL EXPONENTIAL TYPE ORBITALS AND NONINTEGER n SLATER FUNCTIONS
title_sort	unified treatment of one- and two-center one-range addition theorems for complete orthonormal sets of self-frictional exponential type orbitals and noninteger n slater functions
publisher	Sociedad Chilena de Química
publishDate	2015
url	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0717-97072015000200014
work_keys_str_mv	AT guseinovii unifiedtreatmentofoneandtwocenteronerangeadditiontheoremsforcompleteorthonormalsetsofselffrictionalexponentialtypeorbitalsandnonintegernslaterfunctions
_version_	1718445535503843328

UNIFIED TREATMENT OF ONE- AND TWO-CENTER ONE-RANGE ADDITION THEOREMS FOR COMPLETE ORTHONORMAL SETS OF SELF-FRICTIONAL EXPONENTIAL TYPE ORBITALS AND NONINTEGER n SLATER FUNCTIONS

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