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Physical Chemistry

Pairing

Definition and meaning of Pairing in chemistry.

Pairing is when two electrons with opposite spins share the same orbital. The Pauli exclusion principle sets the rule: an orbital can hold at most two electrons, and those two must spin in opposite directions.

In more detail

When electrons fill a set of orbitals that have equal energy, Hund's rule applies. Electrons spread out into separate empty orbitals first, before any pairing happens. This keeps electrons as far apart as possible and lowers their mutual repulsion.

Forcing two electrons into the same orbital costs energy, called pairing energy, because both electrons carry negative charge and naturally repel each other. In transition metal complexes, chemists compare this pairing energy to another value called the crystal field splitting energy. Whichever energy is larger decides whether the complex ends up high spin, with more unpaired electrons, or low spin, with more paired electrons.

This idea of pairing underlies how chemists predict a substance's magnetic behavior and how reactive it will be. A common misconception is that pairing is always unfavorable and something atoms avoid whenever possible. While pairing does cost energy to overcome electron repulsion, it becomes necessary once every available orbital in a set already holds one electron.

Whether a transition metal complex ends up high spin or low spin depends on several things. These include the specific metal, its oxidation state, and the strength of the surrounding ligands. This is why the same metal can show different spin states in different compounds.

This is one reason transition metal complexes display such a wide range of colors and magnetic behaviors across the periodic table.

Key facts

FieldPhysical Chemistry
Governing PrinciplePauli exclusion principle
Spin RequirementOpposite spins
Related RuleHund's rule
CostPairing requires energy to overcome electron repulsion
Example

In a neutral carbon atom, the two electrons in the 2p orbitals stay unpaired, occupying separate orbitals according to Hund's rule. Meanwhile, the filled 1s orbital holds two electrons that are fully paired.

Frequently asked questions

Why does electron pairing require energy?

Electrons are negatively charged, so forcing two of them into the same orbital requires energy to overcome their mutual repulsion.

How does this affect magnetism?

Atoms with unpaired electrons are generally paramagnetic, meaning they are drawn toward a magnetic field. Atoms with only paired electrons are diamagnetic, meaning they are weakly repelled instead.

What is Hund's rule and how does it relate to pairing?

Hund's rule says electrons fill separate orbitals of equal energy one at a time before any pairing happens. This spreads electrons out, lowering their overall repulsion and keeping the atom at lower energy.

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