PART IINTRODUCTORY SUPPORTIVE EVIDENCESPolarity and Anomalous Angular MomentumAn example of how mathematical smoothing has the effect of obscuring vital characteristics of the atom is illustrated by Haken and Wolf: "d(n,l)=n-neff is the quantum defect associated with the quantum numbers n and l. The empirically determined numerical values for the quantum defects (see table below) are largest for s electrons, decrease with increasing orbital angular momentum l, and are largely independent of the principal quantum number n. They increase down the column of alkali atoms from lithium to cesium, or with increasing nuclear charge number Z" [1].
[from F. Richtmyer, E. Kennard, J. Cooper, 1967. Introduction to Modern Physics, 6th ed.] These values are important in showing that angular momentum is significantly different in the S electrons that are distinctive in alkali elements than in other terms within the atom. Yet mathematical smoothing and approximations have the effect of obscuring the cause of the deviation. The Circular Model of the Atom has a positive polarity barrier attracting the S electrons more strongly than other terms more distant from the pole. When we average angular momentum it obscures the dipole nature of the atom. We don't find the same circumstances at the negative dipole because of the closed shells of the inert gases. The anomalous angular momentum of the alkali metals is a result of those electrons being in close proximity to the barrier, whereas the average electron is at some distance from the barrier. [1] Haken, H. & Wolf, H., 1987. Atomic and Quantum Physics. 2nd enlarged ed. Berlin: Springer-Verlag, p. 167. |