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Electron Transitions in Hydrogen Atom

Electron transition in hydrogen atoms
For hydrogen atoms, the principle of electronic transition is a wonderful phenomenon in the microscopic world.

Electrons travel around the nucleus and occupy a specific energy level. The energy level of the electron is also the level of energy. In normal times, the electron is in the ground state, with the lowest energy and the most stable.

If external energy is obtained, such as the impact of light quantum, the electron can absorb energy and transition from the low energy level to the high energy level. This is the excited state. However, the excited state is not a long-term state, and the electron has a tendency to return to the ground state. When it falls back, the excess energy is released in the form of photons.

The energy of its photons is related to the energy difference of the electron transition. According to Bohr's theory, the energy level formula of the hydrogen atom is\ (E_n = -\ frac {13.6} {n ^ 2}\ text {eV}\) (\ (n = 1,2,3,\ cdots\)). Let the electron jump from the\ (n_2\) level to the\ (n_1\) level (\ (n_2 > n_1\)), then the energy of the photon is released\ (\ Delta E = E_ {n_2} - E_ {n_1} = 13.6 (\ frac {1} {n_1 ^ 2} -\ frac {1} {n_2 ^ 2}) \ text {eV}\).

The spectrum of the hydrogen atom is formed by the transition of the electron. The Balmer system refers to the emission spectrum of the electron from the high energy level to the\ (n = 2\) energy level. The wavelength of its spectral line can be calculated by the formula\ (\ frac {1} {\ lambda} = R (\ frac {1} {2 ^ 2} -\ frac {1} {n ^ 2}) \), where\ (R\) is the Rydberg constant.

There is also a Lyman system, where the electron jumps from the high energy level to the\ (n = 1\) level; the Paxing system, where the electron jumps to the\ (n = 3\) level. All of these are caused by electron transitions, each with its own unique spectral characteristics.

The theory of electron transitions in hydrogen atoms is of great significance in the fields of atomic physics, quantum mechanics, etc. It helps us understand the mysteries of the microscopic world, and is also the foundation for applications such as spectroscopy and laser technology.