The Hartree-Fock method is like a game of pretend where we imagine that each electron in an atom or molecule is all by itself and ignores the others.
Every electron has an energy which determines where it will be located within the atom or molecule. The goal of the Hartree-Fock method is to calculate the energy of each electron and how they all fit together.
First, we place each electron in its own pretend home called an orbital. Each orbital has a specific energy level based on how close it is to the nucleus of the atom or molecule.
Next, we imagine that each electron creates an electric field around itself, which affects how the other electrons behave. We calculate the interactions between all of these electric fields to find the overall energy of the system.
Finally, we adjust the positions of the electrons in their orbitals to find the best overall energy. This helps us understand how the electrons will behave in the real world.
Think of it like building a pretend house with blocks. Each block (electron) has a specific color (energy level) and you have to fit them together to make the best house (overall energy).