Explaining Exaggeration of Graphic Scale for Fuzzy Balls and Electron Distributions

Today's textbooks have fuzzy balls and fuzzy longitudinal rings. This presentation walks through the calculation of radial electrostatic versus `extra 1/r' pendulum calculations to show the vast exaggeration. The effective range for electron movement is 1/1,000 less than the textbook, so \textless 20*r$_{\mathrm{e}}$, not 10{\%} or 20{\%} of 18,778*r$_{\mathrm{e}}$ ($\alpha^{\mathrm{2}})$. By calculating the net acceleration of positions at 1-radius, 2-radius off `center', the pendulum size gets so limited.