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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Lenguaje: | English |
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Sociedad Chilena de Química
2015
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Acceso en línea: | http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0717-97072015000200014 |
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Sumario: | 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. |
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