Monday, August 8, 2011

Magnetic Moment of the Hydrogen Atom?

The Bohr model is not correct you must use quantum mechanics to calculate the magnetic orbital moment. If you use the correct solution to the Schrodinger equation the magnetic moment of the electron (magnitude) is given by eL/2m, were L is the orbital momentum. The orbital momentum is given by the formula L=√((2l+1) ) ħ were l is the orbital quantum number of the quantum state of the electron. For the ground state of the H atom l=0, so there is no contribution to the magnetic moment coming from orbital motion. Also the ground state of H is a singlet in terms of nuclear and electron spin coupling, so no contribution from spin.

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