Abstract
A relationship between the effective principal quantum numbers of Hartree–Fock orbitals and the domains of integral transform orbitals, with homogeneous weight functions, is defined. This relationship is used to determine the nonlinear parameters of Hulthen type 0s and 1p orbitals for the ground states of the second and third rows of atoms and to explain the failure of the Hulthen 2d function as an adequate representation of a 3d Hartree–Fock orbital.
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