Finally, we note that NQEs influence the balance between covalent and hydrogen bond interactions. Indeed, PIMD simulations showed that NQEs broaden the covalent peak of the O-H RDF, meaning that more fluctuations occur for the hydrogen atoms, accompanied by a weakening of the covalent bonds. In turn, such a delocalization of the protons seems to strengthen the hydrogen bond network by forming statistically more H-bond interactions, which slows down dynamical properties . Thus, counterintuitively, the disordering due to NQEs smoothes out the structure of water by destabilizing molecules in the intershell re-gion of the O-O RDF, while simultaneously reducing diffusion and rotational times due to stronger hydrogen bonds. Such findings are crucial in order to analyze dynamical properties in light of NQEs (Section 3.2).