diff --git a/Manuscript/rsdft-cipsi-qmc.tex b/Manuscript/rsdft-cipsi-qmc.tex
index 84797a5..156fc57 100644
--- a/Manuscript/rsdft-cipsi-qmc.tex
+++ b/Manuscript/rsdft-cipsi-qmc.tex
@@ -1143,7 +1143,7 @@ The context is rather different within KS-DFT.
 Indeed, mainstream density functionals have distinct functional forms to take 
 into account correlation effects of same-spin and opposite-spin electron pairs. 
 Therefore, KS determinants corresponding to different values of $m_s$ lead to different total energies.
-Consequently, in the context of RS-DFT, the determinant expansions is impacted by this spurious effect, as opposed to FCI.
+Consequently, in the context of RS-DFT, the determinant expansion is impacted by this spurious effect, as opposed to FCI.
 
 In this Appendix, we investigate the impact of the spin contamination on the FN-DMC energy
 originating from the short-range density functional. We have
@@ -1162,7 +1162,12 @@ $2$ m\hartree{}, is obtained for $\mu=0$, but this bias decreases quickly
 below $1$ m\hartree{} when $\mu$ increases. As expected, with $\mu=\infty$
 we observe a perfect spin-invariance of the energy (within the error bars), and the bias is not
 noticeable for $\mu=5$~bohr$^{-1}$.
-\titou{T2: what do you conclude from this section? What value of $m_s$ do you use to compute the atoms?}
+
+Hence, at the FN-DMC level the error due to the lack of
+spin-invariance with RS-DFT-CIPSI trial wave functions is below the
+chemical accuracy, and is not expected to be problematic for the
+comparison of energies of systems with different spin quantum numbers
+as in atomization energies.
 
 %%% TABLE IV %%%
 \begin{table}