- #1
touley
- 6
- 0
size of radius -- HELP
Hi
I'm stuck on a problem that I've been working on for a very long time and I was hoping someone could help. The problem reads as follows:
A muonic atom consists of a muon (m = 106 MeV/c2) in place of an electron. For the muon in a doubly ionized lithium-7 ion, calculate the following quantities.
a) the smallest radius in the ground state
(b) the binding energy of the muon in the ground state
(c) the series limit of the wavelength for the first three series
nm (first series)
nm (second series)
nm (third series)
I know I need to use the equation:
4*pi*epsilon*h-bar^{2} / me^{2}
Because the atom is lithium, I know I have to include Z (Z=3) next to the e^{2}. I derived the formula a billion times - I don't know what I'm doing wrong!
I also know that I need to find the reduced mass of a muon in lithium. I think I did this right.
I've been trying to work this out for an obscene amount of time. I feel like I'm overlooking something very basic. Can anyone help me please?
Hi
I'm stuck on a problem that I've been working on for a very long time and I was hoping someone could help. The problem reads as follows:
A muonic atom consists of a muon (m = 106 MeV/c2) in place of an electron. For the muon in a doubly ionized lithium-7 ion, calculate the following quantities.
a) the smallest radius in the ground state
(b) the binding energy of the muon in the ground state
(c) the series limit of the wavelength for the first three series
nm (first series)
nm (second series)
nm (third series)
I know I need to use the equation:
4*pi*epsilon*h-bar^{2} / me^{2}
Because the atom is lithium, I know I have to include Z (Z=3) next to the e^{2}. I derived the formula a billion times - I don't know what I'm doing wrong!
I also know that I need to find the reduced mass of a muon in lithium. I think I did this right.
I've been trying to work this out for an obscene amount of time. I feel like I'm overlooking something very basic. Can anyone help me please?