- #1
gareththegeek
- 16
- 0
I was wondering what frequency a ground state hydrogen atom's electron should have?
I read somewhere that it has 13.6eV of energy but I think this is the energy required to release it from orbit. I tried to examine the 13.6eV value to check if it seemed correct using the following method. Can anyone tell me where I've gone wrong? It gave me a value of 14.5nm for the Bohr radius (apparently its meant to be more like 0.05nm)
[tex]E = h\nu[/tex]
[tex]\nu = \frac{c}{\lambda}[/tex]
Assuming quantum number n=1 then circumference of circular orbit =wavelength
[tex]\lambda = 2 \pi r[/tex]
[tex]E = \frac{hc}{2 \pi r}[/tex]
[tex]r = \frac{\hbar c}{E}[/tex]
If I feed in the value E = 13.6eV I get r ~ 14.5nm (which is wrong).
Thanks,
G
I read somewhere that it has 13.6eV of energy but I think this is the energy required to release it from orbit. I tried to examine the 13.6eV value to check if it seemed correct using the following method. Can anyone tell me where I've gone wrong? It gave me a value of 14.5nm for the Bohr radius (apparently its meant to be more like 0.05nm)
[tex]E = h\nu[/tex]
[tex]\nu = \frac{c}{\lambda}[/tex]
Assuming quantum number n=1 then circumference of circular orbit =wavelength
[tex]\lambda = 2 \pi r[/tex]
[tex]E = \frac{hc}{2 \pi r}[/tex]
[tex]r = \frac{\hbar c}{E}[/tex]
If I feed in the value E = 13.6eV I get r ~ 14.5nm (which is wrong).
Thanks,
G