- #1
BRN
- 108
- 10
Hi at all! I need one more help from you.
1. Homework Statement
123.4 eV photons ionize further a rarefied gas of ##B^{2+}## ions. A small fraction of electrons emitted in this process is immediately captured by ##B^{3+}## ion, going to occupy the states 2p, 3p, and 3d. Calculate the minimum energy of the photons emitted in the process of capturing, in the not relativistic approximation. How does the result taking into account the relativistic corrections order α2? Do you remember the relativistic correction (multiplicative) to the eigenenergy of motion in the Coulomb potential: ##[1+\frac{(Z\alpha)^2}{n}(\frac{1}{j+1/2}-\frac{3}{4n})]##.
I admit that I have no idea on how to solve this exercise. The minimum energy of emitted photons is
##E=h\nu=h\frac{c}{\lambda}##
How can I know the wavelength knowing the states that are occupied?
Or maybe I have to totally change approach with this exercise ...
1. Homework Statement
123.4 eV photons ionize further a rarefied gas of ##B^{2+}## ions. A small fraction of electrons emitted in this process is immediately captured by ##B^{3+}## ion, going to occupy the states 2p, 3p, and 3d. Calculate the minimum energy of the photons emitted in the process of capturing, in the not relativistic approximation. How does the result taking into account the relativistic corrections order α2? Do you remember the relativistic correction (multiplicative) to the eigenenergy of motion in the Coulomb potential: ##[1+\frac{(Z\alpha)^2}{n}(\frac{1}{j+1/2}-\frac{3}{4n})]##.
The Attempt at a Solution
I admit that I have no idea on how to solve this exercise. The minimum energy of emitted photons is
##E=h\nu=h\frac{c}{\lambda}##
How can I know the wavelength knowing the states that are occupied?
Or maybe I have to totally change approach with this exercise ...