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Unformatted text preview: (162 ) where , , and . This is known as the ``exact'' nonrelativistic Hamiltonian in fieldfree space. However, it is important to remember that this Hamiltonian neglects at least two effects. Firstly, although the speed of an electron in a hydrogen atom is less than 1% of the speed of light, relativistic mass corrections can become appreciable for the inner electrons of heavier atoms. Secondly, we have neglected the spinorbit effects. From the point of view of an electron, it is being orbited by a nucleus which produces a magnetic field (proportional to L); this field interacts with the electron's magnetic moment (proportional to S), giving rise to a spinorbit interaction (proportional to for a diatomic.) Although spinorbit effects can be important, they are generally neglected in quantum chemical calculations....
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 Fall '10
 LauraChoudry
 Chemistry, Atom, Electron, Mole, Energy, Electrons, Molecular Quantum Mechanics, spinorbit effects

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