deletions | additions       diff --git a/abstract.tex b/abstract.tex  index 9bfb681..6165a19 100644  --- a/abstract.tex  +++ b/abstract.tex 
...
The Franck-Hertz experiment is essential to the modern understanding of the nature of atoms. Particularly, the experiment is important to the understanding of atomic structure, and serves as evidence that lowest excitation  energylevels of atoms are discrete. In this version  of the experiment, Argon, Neon elements Neon, Mercury,  and Mercury were chosen because of their monatomic nature. A standard Franck-Hertz experimental set-up Argon  was modified so that it might be possible to resolve fine structure present in determined by analyzing  the observed signal. The observed signal was then analyzed. Minima and maxima fundamental properties  of the signal were plotted structure  in the Franck-Hertz experiment. In  order to extract accurately determine  the lowest excitation energy for each element. Data a new method proposed in \cite{Rapior_2006}  was then compared to predetermined values employed. The main idea is that the spacings between the minima  in order the Franck Hertz curve increase linearly due  toverify  the authenticity additional acceleration over the mean free path. Therefore a linear fit was applied to graphs  of spacings $\Delta E$ versus minimum order $n$. The fit estimated  the experiment. lowest excitation energies of Neon ($19.54\pm1.48 eV$), Mercury ($4.72\pm.25 eV$), and Argon ($11.36\pm.38 eV$) accurately within experimental uncertainty.