Atomic orbital

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An atomic orbital is a one-electron spatial wavefunction used to describe an electron's state in a chemical atom. For a one-electron hydrogen atom, orbitals can be exact energy eigenstates; descriptions of many-electron atoms instead use an orbital approximation. A normalized atomic orbital has $\int |\varphi {|}^2{d}^3\mathbf{r}=1$, and the Born rule gives the position probability density $|\varphi {|}^2$. It is a function extending through space, not a prescribed classical orbit. ^[ref]

The linear combination of atomic orbitals combines these single-centre functions to approximate a molecular orbital. The orbital overlap measures their inner product, and their relative quantum phase controls the interference shown in molecular orbital theory.

This is a section about Atomic orbital!

Atomic orbital is a very important subject about which there is a lot to say.

For example, this sentence. And then another one.

An atomic orbital is a mathematical function that describes the wave-like behavior of an electron in an atom. This concept arises from quantum mechanics and is fundamental to understanding the structure of atoms and the arrangement of electrons within them. Here are some key points about atomic orbitals: 1. **Shape and Energy**: Atomic orbitals have distinct shapes (spherical, dumbbell-shaped, etc.) and energy levels. The shape and orientation of an orbital are determined by the quantum numbers that describe it.