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## Homework Statement

For the hydrogen atom, determine the principle quantum number corresponding to an orbital of radius Rn=0.01mm

## Homework Equations

I'm using the following formula:

Rn=(n^2)(Ao)/Z

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?