Selection rules for Hydrogen

In summary, selection rules for Hydrogen are principles that govern allowed transitions between energy states of the atom. They are significant in understanding and predicting the behavior of Hydrogen and are determined by applying fundamental principles of quantum mechanics. The three main selection rules are conservation of energy and angular momentum, and parity must remain the same. Exceptions, known as selection rule violations, can occur in certain circumstances.
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temp050505
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1
Good afternoon,

Does the selection rules have a condition on [itex]\Delta n[/itex] ? I have not found a website or a book that show transitions between [itex]2S_{1/2}[/itex] and [itex]2P_{3/2}[/itex], that's why I was wondering if [itex]\Delta n = 0[/itex], with respect to the other selection rules, are allowed transitions.

Thank you for your answers.
 
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  • #2
##\Delta n = 0## is not a restriction for a transition to occur, in fact when one takes spin-orbit effect into account the levels of constant ##n## split further and transitions among them can happen.
 
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Thanks !
 

What are selection rules for Hydrogen?

Selection rules for Hydrogen are a set of principles that govern the allowed transitions between different energy states of the Hydrogen atom. These rules dictate which transitions are allowed or forbidden based on the conservation of energy, angular momentum, and parity.

What is the significance of selection rules for Hydrogen?

The selection rules for Hydrogen are important in understanding and predicting the behavior of the Hydrogen atom. They help us determine which energy states are accessible and which transitions are possible, providing insight into the atomic structure and spectral lines of Hydrogen.

What are the three main selection rules for Hydrogen?

The three main selection rules for Hydrogen are: 1) The energy of the photon absorbed or emitted must be equal to the difference in energy between the initial and final states. 2) The total angular momentum of the atom must be conserved. 3) The parity (odd or even) of the atom must remain the same.

How are selection rules for Hydrogen determined?

Selection rules for Hydrogen are determined by applying the fundamental principles of quantum mechanics, such as the conservation of energy and angular momentum, to the specific case of the Hydrogen atom. These rules have been experimentally verified and can also be derived mathematically.

Are there any exceptions to the selection rules for Hydrogen?

Yes, there are some exceptions to the selection rules for Hydrogen. In certain cases, transitions that are normally forbidden by the selection rules can occur due to external influences, such as the presence of an external magnetic field or a perturbation in the atom's environment. These exceptions are known as selection rule violations.

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