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The energy required by an electron to move from one orbital to another orbital is called promotional energy. For example - when an electron moves from s orbital to p orbital, the energy is termed as sp promotional energy.
The energy required to pair two electrons in the same orbital is referred to as pairing energy.
Electrons exchange their positions whenever same spin electrons are present in degenerate orbitals utilizing exchange energy. By doing so they try to attain half filled or completely filled electronic configuration, which makes the atom much more stable.
There is no generalized formula to calculate exchange energy.
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