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Why do the two electrons in the 2p sublevel of carbon occupy different 2p orbitals?

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Why do the two electrons in the 2p sublevel of carbon occupy different 2p orbitals?

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“A pair of electrons with identical spins has slightly less energy than a pair of electrons with opposite spins. Since two electrons in the same orbital must have opposite spins, this causes electrons to prefer to occupy different orbitals. This preference manifests itself if a subshell with l > 0 (one that contains more than one orbital) is less than full. For instance, if a p subshell contains four electrons, two electrons will be forced to occupy one orbital, but the other two electrons will occupy both of the other orbitals, and their spins will be equal.

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