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Basis sets and pseudopotential in quantum chemistry (DFT)

I’m new to computing in chemistry.

I use the DZVP-Molopt-SR-GTH basis in my calculations. I realized that the basis is split and that the valence electrons have two orbital exponents (double-zeta).

In this basis, 11 electrons are considered valence. These are the $3d^{10}4s^1$ configuration electrons.

Other electrons are also described by this basis, but each electron has one function (excluding polarization functions)? Or is the entire orbital described, and not each electron individually?

What is the role of the pseudopotential GTH in these calculations? Is it only responsible for the atomic nucleus or does it also describe the field of core electrons?

The picture shows a specific basis for copper

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