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Atomic orbitals themselves are not directly observable in the traditional sense. They are mathematical descriptions that represent the probability distribution of finding an electron in a specific region around the nucleus.

However, the effects of atomic orbitals can be indirectly observed through various experimental techniques. For example, spectroscopy allows scientists to study the absorption and emission of light by atoms, which provides information about the energy levels and transitions of electrons within atoms. This data can be used to infer the existence and properties of atomic orbitals.

Furthermore, advanced imaging techniques such as scanning tunneling microscopy (STM) and atomic force microscopy (AFM) have been developed to directly visualize individual atoms and their arrangements on surfaces. These techniques can provide visual representations of electron density distributions, which are related to atomic orbitals.

In summary, while atomic orbitals themselves cannot be directly observed, their effects and consequences can be observed and inferred through various experimental techniques.

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