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The only case in which electrons can be considered distinguishable is when they are so well separated that their wave functions do not overlap. Any electrons on the same atom or within the same molecule are considered indistinguishable. In chemistry we like to talk about electrons being in specific orbitals, but the indisinguishable nature of them means ...


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This diagram from Molecular Orbitals by David Willock will be sufficient to explain the matter:


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