For the hydrogen atom, determine the principle quantum number corresponding to an orbital of radius Rn=0.01mm
I'm using the following formula:
Where Rn is the orbital radius (0.01mm),
n is the principle quantum number (wanted)
Ao is a constant (0.5*10^-10)
and Z is the atomic number (for hydrogen =1)
The Attempt at a Solution
By converting Rn into metres and subbing in all the other values I obtain a value of n=447.2135955.
Obviously there are two discreptancies:
1) n is not a whole number
2) it is abnormally large
Can anybody show me where I have gone wrong?