diff --git a/latex/main.pdf b/latex/main.pdf
index b19577b..7e9dfb4 100644
Binary files a/latex/main.pdf and b/latex/main.pdf differ
diff --git a/latex/references/references.bib b/latex/references/references.bib
index 7489417..97e2c87 100644
--- a/latex/references/references.bib
+++ b/latex/references/references.bib
@@ -101,7 +101,7 @@
     author = {Ludwig-Maximilians-Universität München},
     title = {Penning traps},
     url = {https://www.med.physik.uni-muenchen.de/research/nuclear-science/nuclear-masses/mlltrap/layout/traps/index.html},
-    urldate = {2023-10-23}
+    urldate = {2023-10-23},
     note = {Configuration of a Penning trap, figure a}
 }
 
@@ -124,4 +124,4 @@
     url = {https://perftools.pages.jsc.fz-juelich.de/cicd/scorep/tags/latest/html/},
     urldate = {2023-10-24},
     note = {Tool suite for profiling and event tracing.}
-}
\ No newline at end of file
+}
diff --git a/latex/sections/results.tex b/latex/sections/results.tex
index 64fd5c9..49fb14a 100644
--- a/latex/sections/results.tex
+++ b/latex/sections/results.tex
@@ -96,9 +96,9 @@ In figure \ref{fig:two_particles_radial_interaction} we see the movement in radi
     \label{fig:3d_particles}
 \end{figure}
 
-Finally, by subjecting the system to a time-dependent field, making the replacement in \ref{eq:pertubation}, we study the fraction of particles left at different amplitudes $f$. We can see how the different amplitudes lead to loss of particles, at different angular frequencies $\omega_{V}$ in \ref{fig:wide_sweep}. We study frequencies in the range $\omega_{V} \in (0.2, 2.5)$ MHz, with steps of $0.02$ MHz, and find that angular frequencies in the range $(1.0, 2.5)$ is effective in pushing the particles out of the Penning trap. 
+Finally, by subjecting the system to a time-dependent field, making the replacement in \ref{eq:pertubation}, we study the fraction of particles left at different amplitudes $f$. We can see how the different amplitudes lead to loss of particles, at different angular frequencies $\omega_{V}$ in \ref{fig:wide_sweep}. We study frequencies in the range $\omega_{V} \in (0.2, 2.5)$ MHz, with steps of $0.02$ MHz, and find that angular frequencies in the range $(1.0, 1.7)$ is effective in pushing the particles out of the Penning trap. 
 
-We explore the range $\omega_{V} \in (1.0, 1.7)$ MHz closer in figure \ref{fig:narrow_sweep}, and observe a gradual loss of particles for amplitude $f_{1} = 0.1$. Since they are additive, a greater amplitude will result in a larger bound for the particle movement, and particles are easily pushed out. Certain angular frequencies are more effective in pushing particles out of the Penning trap, as we see in figure \ref{fig:narrower_sweep} where $\omega_{V} \in (1.3, 1.4)$ is also effective for pushing out particles of amplitude $f_{1} = 0.1$. % Something
+We explore the range $\omega_{V} \in (1.0, 1.7)$ MHz closer in figure \ref{fig:narrow_sweep}, and observe a gradual loss of particles for amplitude $f_{1} = 0.1$. Since they are additive, a greater amplitude will result in a larger bound for the particle movement, and particles are easily pushed out. Certain angular frequencies are more effective in pushing particles out of the Penning trap, as we see in figure \ref{fig:narrow_sweep_interactions} where $\omega_{V} \in (1.3, 1.4)$ is also effective for pushing out particles of amplitude $f_{1} = 0.1$. % Something
 
 \begin{figure}[H]
     \centering
@@ -109,15 +109,15 @@ We explore the range $\omega_{V} \in (1.0, 1.7)$ MHz closer in figure \ref{fig:n
 
 \begin{figure}[H]
     \centering
-    \includegraphics[width=\linewidth]{images/particles_left_wide_sweep.pdf}
-    \caption{Exploring the behavior of particles, where the amplitude of time-dependent potential $f = [0.1, 0.4, 0.7]$, for angular frequency $\omega_{V} \in (1.0, 1.7)$ MHz.}
+    \includegraphics[width=\linewidth]{images/particles_left_narrow_sweep.pdf}
+    \caption{Exploring the behavior of particles, where the amplitude of time-dependent potential $f = [0.1, 0.4, 0.7]$, for angular frequency $\omega_{V} \in (1.1, 1.7)$ MHz.}
     \label{fig:narrow_sweep}
 \end{figure}
 
 \begin{figure}[H]
     \centering
-    \includegraphics[width=\linewidth]{images/particles_left_wide_sweep.pdf}
-    \caption{Exploring the behavior of particles, where the amplitude of time-dependent potential $f = [0.1, 0.4, 0.7]$, for angular frequency $\omega_{V} \in (1.3, 1.4)$ MHz.}
-    \label{fig:narrower_sweep}
+    \includegraphics[width=\linewidth]{images/particles_left_narrow_sweep_interactions.pdf}
+    \caption{Exploring the behavior of particles, where the amplitude of time-dependent potential $f = [0.1, 0.4, 0.7]$, for angular frequency $\omega_{V} \in (1.1, 1.7)$ MHz with particle interactions.}
+    \label{fig:narrow_sweep_interactions}
 \end{figure}
 \end{document}