Term: coulomb integral, \(H_{\text{rr}}\)
https://doi.org/10.1351/goldbook.C01366

Definition:
Integral over space of the type ∫ ψ r ∗ H ̂ ψ r ⁢ d τ where H(hat) is the hamiltonian operator containing electrostatic potential energy terms and ψ is a one-electron wavefunction.

Related Terms:
1) hamiltonian operator (http://doi.org/10.1351/goldbook.H02730).

Source: Green Book, 2nd ed., p. 17 (https://goldbook.iupac.org/files/pdf/green_book_2ed.pdf)

Citation: 'coulomb integral, \(H_{\text{rr}}\)' in IUPAC Compendium of Chemical Terminology, 5th ed. International Union of Pure and Applied Chemistry; 2025. Online version 5.0.0, 2025. https://doi.org/10.1351/goldbook.C01366

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