Angular orbital

Before moving to further examples, we must address the interaction between the total angular orbital momentum, L, and the total spin angular momentum, 5. To do so, we define the total angular momentum quantum number, J. Equation 21.11 gives the relationship for the total angular momentum for a multi-electron species. 

The value of the g factor for the free electron is 2.002319. An experimentally determined value of the g factor different from this reflects the influence of the chemical environment. Particularly in transition metal ions and complexes, the value of the g factor is considerably affected by the influence of the chemical environment on the angular orbital momentum of the electron. 

This is because the Cl wave function does not contain linear odd powers of the interelectronic coordinate ry. Note that the Cl wave function does contain terms rfj, tfj, tj" which are formed by combination of angular orbitals p, d, f of the one-electron basis, for instance ... 

In atom/ions with N = 5 due to the presence of angular orbitals in the wave function, L — S there are many kinds of configurations to be constructed, whose contribution to the nonrelativistic energy is important. In particular, the ground states of B and C atoms are of P-symmetry. The Hy-CI program is general for any type of orbital, although in Hy-CI we use unnormalized s-, p- and d-orbitals. 

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