Some Mixing Paradoxes

Yet, Figure 3.5 displays a very interesting feature, namely there appears that the states with / 0 are to some extent spatially mixed with those characterized by / = 0 generating that it can be called as the spatially penetrating potentials paradox It will be solved in a way that will be revealed after the full analytical (radial) electronic motion in the central field will be solved out. 

It is natural to wonder whether changes need to be made to the selection rules worked out by Hellwege (1948). It would be strange if the powerful group-theoretical arguments he developed required modification just because some of the atoms in the crystal were not perfectly isotropic. The resolution of the paradox lies in the actual transition that was chosen to be studied. We concealed the fact that the D4 crystal field must mix a small amount of, say, D4,Mj = +3> into... 

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