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The last point group we shall mention specifically is Di. An example of a molecule in this point group is Co(en)aa+, where en stands for the chelate H2N-CH2-CH2-NH2, Fig. 3-6. The symmetry operations here are Ca E 2Ca and 3C2 Again the molecule does not possess a symmetry center. We shall not give any other examples of actual "molecules," because the structures treated here are the most important ones found in the stereochemistry of inorganic Frn. 3-6. D. symmetry M(en)a. complexes. For a full description of all the possible point groups actually occurring, an excellent reference book is Wilson, Decius, anQ Cross, Ref.

Important Point Groups Occurring in Inorganic Complexes 1. O,.. The most common molecular structure for inorganic complexes is the regular octahedron possessing an inversion center, Fig. 3-3. This Frn. 3-3. Regular octahedron. Point group OA. t One-dimensional representations are designated with the letters A and B. Those having a character + 1 under the principal rotation are the A representations; those with a character -1 are the B representations. Two-dimensional representations are labeled with the letter E, three-dimensional representations with the letter T, and fourdimensional representations with the letter G.

Whereas the orbital part is always characterized by having integer values of l, this is not so for the spin part. ~) and the tJ(~,- ~) states, and the spin of an electron, no m~tter how we choose our axis of quantization, can always be described by a iinear combination of the two functions a and {J. Since s = ~for an electron, J is a half-integer in systems with an odd number of electrons. The question that then arises is how to treat the transformation properties for systems with a half-integer angular momentum.

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