O

Orbital

ψ(r,θ,φ): quantum wavefunction squared gives probability density
Quick Reference
Formula / Notationψ(r,θ,φ): quantum wavefunction squared gives probability density
Also Known AsAtomic orbital, molecular orbital (MO), quantum orbital, wavefunction (ψ)

What is Orbital?

A mathematical function describing the wave-like behavior of an electron in an atom (atomic orbital) or molecule (molecular orbital). The square of the orbital function gives the probability density of finding the electron in a region of space. Types: s, p, d, f.

Formula & Notation

ψ(r,θ,φ): quantum wavefunction squared gives probability density

Other Names / Synonyms: Atomic orbital, molecular orbital (MO), quantum orbital, wavefunction (ψ)

Properties & Characteristics

An orbital is a mathematical function (wavefunction, ψ) that describes the quantum state of an electron in an atom or molecule. The square of the orbital wavefunction (|ψ|²) gives the probability density of finding the electron at a given point in space. Atomic orbitals are characterised by quantum numbers n, l, m_l, m_s. Shapes: s orbital (spherical), p orbital (dumbbell), d orbital (four-lobed or doughnut), f orbital (complex shapes). Each orbital holds a maximum of 2 electrons (Pauli exclusion).

Uses & Applications

Orbitals explain: periodic trends in atomic properties, chemical bonding (overlap of orbitals forms bonds), spectroscopy (electronic transitions between orbitals), magnetism (unpaired electrons in half-filled orbitals), and reactivity (HOMO/LUMO in frontier MO theory). Orbital hybridisation explains molecular geometry.

Safety Information

No direct safety concern. Understanding orbital theory helps predict chemical reactivity and the hazard of excited state chemistry (UV-excited orbitals can react with DNA, causing mutations). Frontier orbital analysis guides understanding of why certain carcinogens react preferentially with DNA.

Always consult the SDS/MSDS before handling any chemical. This information is for educational purposes only.

Key Facts

Term Orbital
Formula ψ(r,θ,φ): quantum wavefunction squared gives probability density
Synonyms Atomic orbital, molecular orbital (MO), quantum orbital, wavefunction (ψ)

Frequently Asked Questions

A mathematical function describing the wave-like behavior of an electron in an atom (atomic orbital) or molecule (molecular orbital). The square of the orbital function gives the probability density of finding the electron in a region of space. Types: s, p, d, f.

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