Why Electrons Pair in Orbitals Around Atoms

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SUMMARY

Electrons pair in orbitals around atoms primarily due to the Pauli exclusion principle, which states that no two fermions can occupy the same quantum state. Electrons with opposite spin numbers can share the same orbital, as they do not possess identical quantum states. The arrangement of electrons follows the principle of occupying the lowest energy states first, such as 1s, 2s, and 2d orbitals. This concise explanation clarifies the pairing mechanism without delving into unnecessary repulsion discussions found in some chemistry textbooks.

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  • Understanding of quantum mechanics and quantum states
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  • Knowledge of electron configurations and energy levels
  • Basic concepts of spin quantum numbers
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When electrons pair in orbitals around an atom what's the best description of why it happens, there's a bit of variation of the answers on google.

The lowest energy state is the most favourable, therefore electrons will inhabit the orbitals of the lowest energy first ie. 1s, 2s, 2d and so on.

However due to the Pauli exclusion principle no 2 fermions can occupy the same quantum state, however electrons with opposite spin numbers do not have the same quantum state therefore 2 electrons of opposite spins can occupy the same orbital.

It just the explanation in my chemistry books starts talking about repulsion and stuff but the above sounds more concise?
 
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Difficult to know what your chemistry books are discussing without more information.

However the rest of your post is accurate.

Another way to state the Pauli principle is that no two electrons in one atom can possesses the same set of quantum numbers.

Also note that there are only two options for the spin quantum number which implies two per orbital.
 

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