Hole formalism in quantum chemistry states that for many electronic properties, one may consider systems with e or (n-e), the number of unoccupied sites or "holes", to be equivalent.The number of microstates (N) of a system corresponds to the total number of distinct arrangements for a number e of electrons to be placed in a number n of possible orbital positions: In hole formalism, the commutative property of multiplication applies, meaning that in the above equation,
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