diff --git a/Manuscript/rsdft-cipsi-qmc.tex b/Manuscript/rsdft-cipsi-qmc.tex
index f2bfda6..9230f87 100644
--- a/Manuscript/rsdft-cipsi-qmc.tex
+++ b/Manuscript/rsdft-cipsi-qmc.tex
@@ -1163,11 +1163,10 @@ 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$^{-1}$.
 
-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.
+Hence, at the FN-DMC level, the error due to
+the spin invariance with RS-DFT-CIPSI trial wave functions is below the
+chemical accuracy threshold, and is not expected to be problematic for the
+comparison of atomization energies.
 
 %%% TABLE IV %%%
 \begin{table}