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HydrogenLikeAtomElectronTransitionsClassification

Classification of Electronic Transitions in Hydrogen-like Atoms

I. INTRODUCTION
When studying hydrogen-like atoms, the phenomenon of electronic transitions is crucial. By in-depth discussion of it, we can better understand the atomic structure and related physical properties.

II. Classification of Electronic Transitions in Hydrogen-like Atoms According to
For hydrogen-like atoms, the classification of electronic transitions is mainly based on the changes in the energy levels of electrons before and after the transition. When electrons transition from high energy levels to low energy levels, energy is released, usually in the form of photons. Conversely, the transition from low energy levels to high energy levels requires energy absorption.

III. Specific Classification
1. ** Emission transition **
- If the electron transitions from the energy level of the higher principal quantum number\ (n_2\) to the energy level of the lower principal quantum number\ (n_1\) (\ (n_2 > n_1\)), this is an emission transition. For example, when an electron transitions from the\ (n = 3\) level to the\ (n = 2\) level, it radiates a photon with a specific energy\ (\ Delta E = E_ {n_2} - E_ {n_1}\), according to Bohr's theory,\ (E_n = -\ frac {13.6Z ^ {2}} {n ^ {2}} eV\) (\ (Z\) is the atomic number, and the corresponding value is taken for the hydrogen-like atom\ (Z\)).
2. ** Absorption transition **
- When the electron transitions from the energy level of the lower principal quantum number\ (n_1\) to the energy level of the higher principal quantum number\ (n_2\) (\ (n_2 > n_1\)), this is the absorption transition. For example, when the electron transitions from the energy level of\ (n = 1\) to the energy level of\ (n = 2\), the atom needs to absorb the energy provided by the outside world, and the energy value of the absorption is also\ (\ Delta E = E_ {n_2} - E_ {n_1}\). By classifying the emission and absorption transitions of hydrogen-like atoms, we can systematically study important physical processes such as energy exchange between atoms and the outside world and changes in the internal energy level structure of atoms, laying the foundation for further exploration of related fields of atomic physics.