diff --git a/Manuscript/FarDFT.bib b/Manuscript/FarDFT.bib
index f524953..bbb3834 100644
--- a/Manuscript/FarDFT.bib
+++ b/Manuscript/FarDFT.bib
@@ -1,13 +1,33 @@
 %% This BibTeX bibliography file was created using BibDesk.
 %% http://bibdesk.sourceforge.net/
 
-%% Created for Pierre-Francois Loos at 2019-11-21 21:56:23 +0100 
+%% Created for Pierre-Francois Loos at 2019-11-23 21:56:54 +0100 
 
 
 %% Saved with string encoding Unicode (UTF-8) 
 
 
 
+@article{Avery_1993,
+	Author = {J. Avery},
+	Date-Added = {2019-11-23 21:56:19 +0100},
+	Date-Modified = {2019-11-23 21:56:52 +0100},
+	Doi = {10.1021/j100112a048},
+	Journal = {J. Phys. Chem.},
+	Pages = {2406--2412},
+	Title = {Selected applications of hyperspherical harmonics in quantum theory},
+	Volume = {97},
+	Year = {1993}}
+
+@book{AveryBook,
+	Address = {Dordrecht},
+	Author = {J. Avery},
+	Date-Added = {2019-11-23 21:56:19 +0100},
+	Date-Modified = {2019-11-23 21:56:19 +0100},
+	Publisher = {Kluwer Academic},
+	Title = {Hyperspherical harmonics: applications in quantum theory},
+	Year = {1989}}
+
 @article{Loos_2019,
 	Author = {Loos, Pierre-Fran{\c c}ois and Boggio-Pasqua, Martial and Scemama, Anthony and Caffarel, Michel and Jacquemin, Denis},
 	Date-Added = {2019-11-21 21:56:17 +0100},
diff --git a/Manuscript/FarDFT.tex b/Manuscript/FarDFT.tex
index 6d43bc5..e3420b7 100644
--- a/Manuscript/FarDFT.tex
+++ b/Manuscript/FarDFT.tex
@@ -257,14 +257,17 @@ The construction of these two functionals is described below.
 Here, we restrict our study to spin-unpolarised systems, \ie, $\n{\uparrow}{} = \n{\downarrow}{} = \n{}{}/2$ (where $\n{\uparrow}{}$ and $\n{\downarrow}{}$ are the spin-up and spin-down electron densities).
 Extension to spin-polarised systems will be reported in future work.
 
+Although this choice is far from being unique, we consider here the singlet ground state and the first singlet doubly-excited state of a two-electron FUEG which consists of two electrons confined to the surface of a 3-sphere (also known as a glome).\cite{Loos_2009a,Loos_2009c,Loos_2010e}
+These two states have the same (uniform) density $\n{}{} = 2/(2\pi^2 R^3)$, where $R$ is the radius of the 3-sphere onto which the electrons are confined.
+Indeed, the orbitals for an electron on a 3-sphere of unit radius are the normalized hyperspherical harmonics $Y_{\ell\mu}$, where $\ell$ is the principal quantum number and $\mu$ is a composite index of the remaining two quantum numbers. \cite{AveryBook, Avery_1993}  
+As mentioned above, we confine our attention to paramagnetic (or unpolarized) systems, and in particular to the simple two-electron system in which the orbital with $\ell = 0$ is doubly-occupied by one spin-up and one spin-down electron, thus yielding an electron density that is uniform on the 3-sphere.
+Note that the present paradigm is equivalent to the IUEG model in the thermodynamic limit. \cite{Loos_2011b}
+We refer the interested reader to Refs.~\onlinecite{Loos_2011b,Loos_2017a} for more details about this paradigm.
+
 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 \subsection{Weight-dependent exchange functional}
 \label{sec:Ex}
 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-\titou{T2: More details required to understand what is glomium.}
-We consider the ground- and doubly-excited states of the two-electron glomium system in its singlet ground state. \cite{Loos_2009a,Loos_2009c,Loos_2010e}
-These two states have the same (uniform) density $\n{}{} = 2/(2\pi^2 R^3)$ where $R$ is the radius of the glome onto which the electrons are confined.
-We refer the interested reader to Refs.~\onlinecite{Loos_2011b,Loos_2017a} for more details about this paradigm.
 
 The reduced (\ie, per electron) Hartree-Fock (HF) energies for these two states are
 \begin{subequations}
@@ -364,18 +367,18 @@ Combining these, we build a two-state weight-dependent correlation functional:
 					&	\tabc{Ground state}	&	\tabc{Doubly-excited state}	\\
 			$R$		&	\tabc{$I=0$}	&	\tabc{$I=1$}	\\
 			\hline
-			$0$		&	$0.023818$	&	$0.014463$	\\
-			$0.1$	&	$0.023392$	&	$0.014497$	\\
-			$0.2$	&	$0.022979$	&	$0.014523$	\\
-			$0.5$	&	$0.021817$	&	$0.014561$	\\
-			$1$		&	$0.020109$	&	$0.014512$	\\
-			$2$		&	$0.017371$	&	$0.014142$	\\
-			$5$		&	$0.012359$	&	$0.012334$	\\
-			$10$	&	$0.008436$	&	$0.009716$	\\
-			$20$	&	$0.005257$	&	$0.006744$	\\
-			$50$	&	$0.002546$	&	$0.003584$	\\
-			$100$	&	$0.001399$	&	$0.002059$	\\
-			$150$	&	$0.000972$	&	$0.001458$	\\
+			$0$		&	$0.023\,818$	&	$0.014\,463$	\\
+			$0.1$	&	$0.023\,392$	&	$0.014\,497$	\\
+			$0.2$	&	$0.022\,979$	&	$0.014\,523$	\\
+			$0.5$	&	$0.021\,817$	&	$0.014\,561$	\\
+			$1$		&	$0.020\,109$	&	$0.014\,512$	\\
+			$2$		&	$0.017\,371$	&	$0.014\,142$	\\
+			$5$		&	$0.012\,359$	&	$0.012\,334$	\\
+			$10$	&	$0.008\,436$	&	$0.009\,716$	\\
+			$20$	&	$0.005\,257$	&	$0.006\,744$	\\
+			$50$	&	$0.002\,546$	&	$0.003\,584$	\\
+			$100$	&	$0.001\,399$	&	$0.002\,059$	\\
+			$150$	&	$0.000\,972$	&	$0.001\,458$	\\
 	\end{tabular}
 	\end{ruledtabular}
 \end{table}
@@ -387,13 +390,13 @@ Combining these, we build a two-state weight-dependent correlation functional:
 	Parameters of the correlation functionals for each individual state defined in Eq.~\eqref{eq:ec}.
 	The values of $a_1$ are obtained to reproduce the exact high density correlation energy of each individual state, while $a_2$ and $a_3$ are fitted on the numerical values reported in Table \ref{tab:Ref}.}
 	\begin{ruledtabular}
-		\begin{tabular}{lcc}
+		\begin{tabular}{ldd}
 					&	\tabc{Ground state}	&	\tabc{Doubly-excited state}	\\
 					&	\tabc{$I=0$}	&	\tabc{$I=1$}	\\
 			\hline
-				$a_1$		&	$-0.0238184$	&	$-0.0144633$	\\
-				$a_2$		&	$+0.00540994$	&	$-0.0506019$	\\	
-				$a_3$		&	$+0.0830766$	&	$+0.0331417$	\\
+				$a_1$		&	-0.023\,818\,4	&	-0.014\,463\,3	\\
+				$a_2$		&	+0.005\,409\,94	&	-0.050\,601\,9	\\	
+				$a_3$		&	+0.083\,076\,6	&	+0.033\,141\,7	\\
 		\end{tabular}
 	\end{ruledtabular}
 \end{table}