PHY3063 R. D. Field Department of Physics Chapter4_4.doc University of Florida Bohr’s Model of the One Electron Atom Assume that the nucleus with charge +Zeis at rest and the electron travels in a circular orbit around the proton (i.e.assume Mnucleus>> me). The force on the electron is rvmamrKZeFee222===and 222rKZervme=. Hence, we must replace e2by Ze2in all the formulas. Thus, 02rZnrn=, cZnvnα1=, and 022EnZEn=. Correction for a Finite Nuclear Mass: Let the nucleus have mass Mand speed Vand the electron mass meand speed ve. Then the center-of-massis at the point xdetermined by me(r-x) = Mxand hence Mmrmxee+=and MmMrxre+=−The total angular momentumis ωµ2222)(rrMmMmMxxrmLeee=+=+−=, where
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This note was uploaded on 05/29/2011 for the course PHY 3063 taught by Professor Field during the Spring '07 term at University of Florida.