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\begin{centering}  \textbf{Figure 12}  \end{centering}  \par Plots Plot  of$\frac{\delta t}{\delta \omega}$ for (a)$^{87}Rb$,$F=1$ (b)$^{87}Rb$,$F=2$ (c)$^{85}Rb$,$F=3$  (d)$^{85}Rb$,$F=2$. All plots with The ratios are plotted chronologically as we passed through  the exception of (a), appear corresponding frequencies in our frequency scan. \textbf{A corresponds to ...} There is clearly a slope  to be non-constant. the ratios, indicating that our frequency scan was nonlinear.