A non-bonding orbital is a molecular orbital that does not contribute to the bonding interactions between atoms in a molecule, meaning it neither stabilizes nor destabilizes the molecule significantly. These orbitals typically contain lone pairs of electrons that are localized on individual atoms, allowing them to participate in molecular interactions without influencing the overall bonding framework significantly. In Hรผckel Molecular Orbital Theory, non-bonding orbitals play a crucial role in understanding the electronic structure of conjugated systems, where they can affect properties such as stability and reactivity.