diff --git a/Data/DD_8pi.dat b/Data/DD_8pi.dat
new file mode 100644
index 0000000..a4fe659
--- /dev/null
+++ b/Data/DD_8pi.dat
@@ -0,0 +1,21 @@
+0.4721  1.0633  1.9492  3.1633  4.7359
+0.5606  1.1764  2.0855  3.3217  4.9156
+0.7990  1.4749  2.4547  3.7572  5.4146
+0.0885  0.1131  0.1363  0.1583  0.1797
+0.3269  0.4116  0.5055  0.5938  0.6787
+-0.0257 -0.0386 -0.0506	-0.0612	-0.0702   
+0.0008  0.0008  0.0033	0.0078	0.0131 
+0.0209  0.0149  0.0196	0.0271	0.0360 
+0.0266  0.0394  0.0540	0.0690	0.0834 
+0.0467  0.0534  0.0703	0.0884	0.1063 
+0.0000  0.0000  0.0000	0.0000	0.0000 
+-0.0072 -0.0080 -0.0080	-0.0075	-0.0065
+-0.0050 -0.0028 0.0005	0.0046	0.0095 
+-0.0022 -0.0015 -0.0049	-0.0067	-0.0079
+0.0004  -0.0044 -0.0095	-0.0160	-0.0209
+0.0300  0.0300  0.0325	0.0355	0.0389 
+0.0026  -0.0029 -0.0047	-0.0093	-0.0130
+0.0323  0.0315  0.0373	0.0423	0.0469 
+0.0045  0.0040  0.0029	0.0013	-0.0007
+-0.0032 -0.0044 -0.0056	-0.0066	-0.0076
+-0.0013 0.0004  0.0027	0.0053	0.0083 
diff --git a/Manuscript/EvsN_DD.pdf b/Manuscript/EvsN_DD.pdf
new file mode 100644
index 0000000..f27ba0f
Binary files /dev/null and b/Manuscript/EvsN_DD.pdf differ
diff --git a/Manuscript/EvsN_HF.pdf b/Manuscript/EvsN_HF.pdf
deleted file mode 100644
index 37123a0..0000000
Binary files a/Manuscript/EvsN_HF.pdf and /dev/null differ
diff --git a/Manuscript/eDFT.tex b/Manuscript/eDFT.tex
index f9b4ed4..c1558cc 100644
--- a/Manuscript/eDFT.tex
+++ b/Manuscript/eDFT.tex
@@ -1307,15 +1307,15 @@ electrons.
 \begin{figure}
 	\includegraphics[width=\linewidth]{EvsL_3_DD}
 	\caption{
-	\label{fig:EvsLHF}
-	Error with respect to FCI (in \%) associated with the single excitation $\Ex{}{(1)}$ (bottom) and double excitation $\Ex{}{(2)}$ (top) as a function of the box length $L$ for 3-boxium at the KS-eLDA level.
+	\label{fig:EvsL_DD}
+	Error with respect to FCI (in \%) associated with the single excitation $\Ex{}{(1)}$ (bottom) and double excitation $\Ex{}{(2)}$ (top) as a function of the box length $L$ for 3-boxium at the KS-eLDA level with and without the contribution of the ensemble correlation derivative $\DD{c}{(I)}$.
 	Zero-weight (\ie, $\ew{1} = \ew{2} = 0$, red lines) and equiweight (\ie, $\ew{1} = \ew{2} = 1/3$, blue lines) calculations are reported. 
 	}
 \end{figure}
 %%% %%% %%%
 
 It is also interesting to investigate the influence of the ensemble correlation derivative $\DD{c}{I}$ [defined in Eq.~\eqref{eq:DD-eLDA}] on both the single and double excitations.
-To do so, we have reported in Fig.~\ref{fig:EvsLHF}, in the case of 3-boxium, the error percentage (with respect to FCI) as a function of the box length $L$
+To do so, we have reported in Fig.~\ref{fig:EvsL_DD}, in the case of 3-boxium, the error percentage (with respect to FCI) as a function of the box length $L$
 on the excitation energies obtained at the KS-eLDA with and without $\DD{c}{I}$ [\ie, the last term in Eq.~\eqref{eq:Om-eLDA}].
 %\manu{Manu: there is something I do not understand. If you want to
 %evaluate the importance of the ensemble correlation derivatives you
@@ -1344,18 +1344,17 @@ of modeling properly the ensemble correlation derivative.
 
 %%% FIG 6 %%%
 \begin{figure}
-	\includegraphics[width=\linewidth]{EvsN_HF}
+	\includegraphics[width=\linewidth]{EvsN_DD}
 	\caption{
-	\label{fig:EvsN_HF}
-	Error with respect to FCI in single and double excitation energies for $\nEl$-boxium (with a box length of $L=8\pi$) as a function of the number of electrons $\nEl$ at the KS-eLDA (solid lines) and eHF (dashed lines) levels. 
-	Zero-weight (\ie, $\ew{1} = \ew{2} = 0$, black and red lines) and
-equiweight (\ie, $\ew{1} = \ew{2} = 1/3$, blue and green lines) calculations are reported. 
+	\label{fig:EvsN_DD}
+	Error with respect to FCI in single and double excitation energies for $\nEl$-boxium (with a box length of $L=8\pi$) as a function of the number of electrons $\nEl$ at the KS-eLDA level with and without the contribution of the ensemble correlation derivative $\DD{c}{(I)}$. 
+	Zero-weight (\ie, $\ew{1} = \ew{2} = 0$, red lines) and equiweight (\ie, $\ew{1} = \ew{2} = 1/3$, blue lines) calculations are reported. 
 	}
 \end{figure}
 %%% %%% %%%
 
-Finally, in Fig.~\ref{fig:EvsN_HF}, we report the same quantities as a function of the electron number for a box of length $8\pi$ (\ie, in the strong correlation regime). 
-The difference between the eHF and KS-eLDA excitation energies
+Finally, in Fig.~\ref{fig:EvsN_DD}, we report the same quantities as a function of the electron number for a box of length $8\pi$ (\ie, in the strong correlation regime). 
+The difference between the solid and dashed lines and KS-eLDA excitation energies
 undoubtedly show that, even in the strong correlation regime, the
 ensemble correlation derivative has a small impact on the double
 excitations with a slight tendency of worsening the excitation energies