An Introduction to the Electronic Structure of Atoms and MoleculesProfessor of Chemistry / McMaster University / Hamilton, Ontario
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R.M. Hochstrasser, Behaviour of Electrons in Atoms, W. A. Benjamin Inc., New York, N.Y., 1964.
The magnitude of the total angular momentum in a many-electron
atom is governed by the same rules of quantization as apply to the motions
of the individual electrons. Because of this, the addition of the angular
momentum vectors of the individual electrons in an atom to give the total
angular momentum quantum number denoted by J is not arbitrary but
must be carried out in such a way that the magnitude of the resultant vector
is expressible in the form
with J = 0, 1, 2, 3 ... An elementary discussion of the manner
in which the total angular momentum of an atom is determined by quantum
mechanics is given in the above reference.
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