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In quantum chemistry, Brillouin's theorem, proposed by the French physicist Léon Brillouin in 1934, is a fundamental theorem that simplifies theoretical calculations of electronic structure. It states that within the common Hartree–Fock approximation, the electronic ground state does not directly mix or interact with electronic states where only a single electron has been promoted to a higher energy level. The Hartree–Fock method is a foundational approach for approximating the wavefunction and energy of a quantum many-body system, such as the electrons in an atom or molecule.
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