Orbital of Slater type

The orbital of type Slater (in English Slater-type orbitals , STO) are functions used like orbital atomic in the methods of linear Combinaison of orbital atomic. They are characterized by the form from their radial component, given by:

$R\; (R)\; =\; NR\; r^\; \{n-1\}\; e^\; \{-\; \backslash \; zeta\; R\}\; \backslash ,$

where

N plays the part of the principal quantum Nombre, N = 1,2,…,

NR is a constant of Normalization,

R is the distance from the electron to the Atomic nucleus, and

$\backslash \; zeta$ is a constant related to the effective load of the core.

It is current to use the real form of the spherical harmonic dependant on the polar coordinates θ and φ like angular part of orbital of Slater.
These functions were thus called according to the Physicien John Slater which introduced them in 1930.

References

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