{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

Chapter4_4 - PHY3063 R D Field Bohrs Model of the One...

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
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 +Ze is at rest and the electron travels in a circular orbit around the proton ( i.e. assume M nucleus >> m e ). The force on the electron is r v m a m r KZe F e e 2 2 2 = = = and 2 2 2 r KZe r v m e = . Hence, we must replace e 2 by Ze 2 in all the formulas. Thus, 0 2 r Z n r n = , c Z n v n α 1 = , and 0 2 2 E n Z E n = . Correction for a Finite Nuclear Mass: Let the nucleus have mass M and speed V and the electron mass m e and speed v e . Then the center-of-mass is at the point x determined by m e (r-x) = Mx and hence M m r m x e e + = and M m Mr x r e + = The total angular momentum is ω µ ω ω ω 2 2 2 2 ) ( r r M m M m Mx x r m L e e e = + = +
Background image of page 1
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

Ask a homework question - tutors are online