# Recoil energy and Heisenberg Uncertainty principal

amb123
I need to prove that the act of measuring exactly the position of an electron would change its orbit.

change in position x change in momentum = h

the limit would suggest that knowing the location exactly would set the change in momentum p= h

What is the formula that relates energy above a quantity with changing orbits? I saw that the Rhydberg formula gives an Ionization energy, I am thinking that if I can prove that the energy change due to measurement is at least equal to this quantity then I have proven a change in orbit. Is this correct? I have found this energy to be in the 10^-18 J range, any ideas on what I can look at to figure this out? I have spent so much time on this and still have nothing more than qualitative answer that is given by the heisenberg principal.

Any help would be appreciated.
Thanks,
-A