Quantum Chemistry/Example 20
Write an example showing the determination of the initial electronic state of the hydrogen atom given the wavelength of its transition to the ground state.
An electronic transition of H atom from an energy level to the ground state is observed with a corresponding wavelength of 102.5 nm. Determine the initial state of the electron from which transition has occurred.Edit
The Rydberg's phenomenological equation will be used to solve the energy transition problem
Rydberg's phenomenological equation for hydrogen
where the is Rydberg constant for hydrogen and is equal to 109737 . is the final energy level, is the initial energy level for hydrogen transition. Both and are integers and .
The wavelength is given as 103nm
Concert to SI units:
The H atom's transition is from unknown energy level to the ground state.
So we can know the final state is the ground state which means
The now can be calculated:
Because the energy level always
Therefore, the initial state of the electron from which transition has occurred is energy level 3.