How do electronic changes in atoms produce visible light and ultraviolet radiation?

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Visible light and ultraviolet radiation are produced through the movement of electrons between discrete energy levels within an atom or molecule.12

According to quantum mechanics, electrons occupy specific, allowed energy states. When an atom is excited—often by the impact of particles or the absorption of energy—an electron is promoted from a lower-energy ground state to a higher-energy excited state. As the electron spontaneously returns to a lower energy level, it releases the excess energy as a photon of [electromagnetic radiation].1234

The energy of the emitted photon (E) is equal to the difference between the two energy levels, which determines the frequency and wavelength of the radiation according to the relationship E=hν (where h is Planck’s constant).23
* Visible light is emitted when electronic transitions correspond to energy differences typically ranging from 1.8 to 3.1 electron volts.3
* Ultraviolet radiation is produced by transitions involving larger energy differences, such as those observed in mercury atoms, where electrons dropping to lower states emit high-energy photons at wavelengths like 185 or 254 nanometres.3