What Are Integral Centers in Hartree Fock Theory?

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Integral centers in Hartree Fock theory refer to the coordinates of atoms when calculating electron integrals, particularly in the context of Gaussian functions. The term "center" typically indicates the location of the atomic orbitals involved in the integrals, such as in two-electron integrals between different atoms A and B. In contrast, when using Slater functions, the concept of "center" may not strictly correspond to atomic coordinates. The discussion highlights the importance of understanding how these centers are defined based on the type of basis functions used in the calculations. Clarifying the interpretation of centers is crucial for accurate computations in quantum chemistry.
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Hi,

I am looking at the integrals in HF - I am a little puzzled about the use of the word center.

F.ex. two electron integrals on different center - it that electron belonging to different atom A and B?

Than it mentions three- and four center - how to interpreted center?

Thanks in advance

best regards
 
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Hi,

I guess that centers are often atom coordinates when using gaussian functions but it is not necessary atomic coordinates when using Slater functions?
 
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