diff --git a/BSE-PES.tex b/BSE-PES.tex
index 384ba56..3ca82fe 100644
--- a/BSE-PES.tex
+++ b/BSE-PES.tex
@@ -386,14 +386,17 @@ As a final remark, we point out that Eq.~\eqref{eq:EtotBSE} can be easily genera
 \section{Computational details}
 \label{sec:comp_details}
 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-All the preliminary {\GW} calculations performed to obtain the screened Coulomb operator and the quasiparticle energies have been done using a Hartree-Fock (HF) starting point, which is a very adequate choice in the case of the (small) systems that we consider here.
+All the preliminary {\GW} calculations performed to obtain the screened Coulomb operator and the quasiparticle energies have been done using a (restricted) Hartree-Fock (HF) starting point, which is a very adequate choice in the case of the (small) systems that we consider here.
 Dunning's basis sets are defined in cartesian gaussians. 
 Both perturbative {\GW} (or {\GOWO}) \cite{Hybertsen_1985a, Hybertsen_1986} and partially self-consistent {\evGW} \cite{Hybertsen_1986, Shishkin_2007, Blase_2011, Faber_2011} calculations are employed as starting point to compute the BSE neutral excitations.
 These will be labeled as BSE@{\GOWO} and BSE@{\evGW}, respectively.
 In the case of {\GOWO}, the quasiparticle energies have been obtained by linearizing the non-linear, frequency-dependent quasiparticle equation.
 For {\evGW}, the quasiparticle energies are obtained self-consistently and we have used the DIIS convergence accelerator technique proposed by Pulay \cite{Pulay_1980,Pulay_1982} to avoid convergence issues.
 Further details about our implementation of {\GOWO} and {\evGW} can be found in Refs.~\onlinecite{Loos_2018,Veril_2018}.
-Finally, the infinitesimal $\eta$ has been set to $10^{-3}$ for all calculations.
+Finally, the infinitesimal $\eta$ has been set to zero for all calculations.
+\titou{For sake of comparison, no frozen core approximation.
+The numerical integration required to compute the correlation energy along the adiabatic path has been computed with a 21-point Gauss-Legendre quadrature.
+This number of points is probably too big...}
 
 Because Eq.~\eqref{eq:EcBSE} requires the entire BSE excitation spectrum (both singlet and triplet), we perform a complete diagonalization of the $\Nocc \Nvir \times \Nocc \Nvir$ BSE linear response matrix [see Eq.~\eqref{eq:small-LR}], which corresponds to a $\order{\Nocc^3 \Nvir^3}$ computational cost.
 This step is, by far, the computational bottleneck in our current implementation.
@@ -406,24 +409,39 @@ This step is, by far, the computational bottleneck in our current implementation
 %%% TABLE I %%%
 \begin{table*}
 \caption{
-Equilibrium distances of ground and excited states of diatomic molecules obtained at various levels of theory.}
+Equilibrium distances (in bohr) of the ground state of diatomic molecules obtained at various levels of theory and basis sets.}
 \label{tab:Req}
 	
 	\begin{ruledtabular}
 	\begin{tabular}{llcccccccc}
-				&				&	\mc{2}{c}{FCI}				&	\mc{2}{c}{CC3}				&	\mc{2}{c}{BSE@{\GOWO}}	&	\mc{2}{c}{BSE@{\evGW}}		\\
-									\cline{3-4}						\cline{5-6}						\cline{7-8}						\cline{9-10}
-	Molecule	&	State		&	cc-pVDZ		&	cc-pVTZ		&	cc-pVDZ		&	cc-pVTZ		&	cc-pVDZ		&	cc-pVTZ		&	cc-pVDZ		&	cc-pVTZ			\\
+				&				&	\mc{8}{c}{Molecules}	\\
+									\cline{3-10}
+	Method		&	Basis		&	\ce{H2}		&	\ce{LiH}	&	\ce{LiF}&	\ce{N2}	&	\ce{CO}	&	\ce{BF}	&	\ce{F2}	&	\ce{HCl}	\\
 	\hline
-	\ce{H2}		&	$S_0$		&		1.438	&	1.403			&				&				&	1.440		&				&	1.432		&					\\
-				&	$S_2$		&				&					&				&				&	1.451		&				&	1.442		&					\\
-				&	$S_5$		&				&					&				&				&	1.781		&				&	1.778		&					\\
-	\ce{LiH}	&				&				&				&	\\
-	\ce{LiF}	&				&				&				&	\\
-	\ce{HCl}	&				&				&				&	\\
-	\ce{N2}		&				&				&				&	\\
-	\ce{CO}		&				&				&				&	\\
-	\ce{BF}		&				&				&				&	\\
+	CC3				&	cc-pVDZ		&	1.438		&	3.043		&	3.012	&	2.114	&	2.166	&	2.444	&	2.740	&	2.435		\\
+					&	cc-pVTZ		&	1.403		&	3.011		&	2.961	&	2.079	&	2.143	&	2.392	&	2.669	&	2.413		\\
+					&	cc-pVQZ		&	1.402		&	3.019		&			&			&			&			&			&				\\
+	CCSD			&	cc-pVDZ		&			&			&		&		&		&		&		&			\\
+					&	cc-pVTZ		&			&			&		&		&		&		&		&			\\
+					&	cc-pVQZ		&			&			&		&		&		&		&		&			\\
+	CC2				&	cc-pVDZ		&			&			&		&		&		&		&		&			\\
+					&	cc-pVTZ		&			&			&		&		&		&		&		&			\\
+					&	cc-pVQZ		&			&			&		&		&		&		&		&			\\
+	MP2				&	cc-pVDZ		&			&			&		&		&		&		&		&			\\
+					&	cc-pVTZ		&			&			&		&		&		&		&		&			\\
+					&	cc-pVQZ		&			&			&		&		&		&		&		&			\\
+	BSE@{\GOWO}@HF	&	cc-pVDZ		&			&			&		&		&		&		&		&			\\
+					&	cc-pVTZ		&			&			&		&		&		&		&		&			\\
+					&	cc-pVQZ		&			&			&		&		&		&		&		&			\\
+	RPA@{\GOWO}@HF	&	cc-pVDZ		&			&			&		&		&		&		&		&			\\
+					&	cc-pVTZ		&			&			&		&		&		&		&		&			\\
+					&	cc-pVQZ		&			&			&		&		&		&		&		&			\\
+	RPAx@HF			&	cc-pVDZ		&			&			&		&		&		&		&		&			\\
+					&	cc-pVTZ		&			&			&		&		&		&		&		&			\\
+					&	cc-pVQZ		&			&			&		&		&		&		&		&			\\
+	RPA@HF			&	cc-pVDZ		&			&			&		&		&		&		&		&			\\
+					&	cc-pVTZ		&			&			&		&		&		&		&		&			\\
+					&	cc-pVQZ		&			&			&		&		&		&		&		&			\\
 	\end{tabular}
 	\end{ruledtabular}
 \end{table*}