Ab initiopath-integral molecular dynamics and the quantum nature of hydrogen bonds
Feng Yexin1, Chen Ji1, Li Xin-Zheng2, 3, †, , Wang Enge1, 3
       

Thermodynamic integration based onab initioPIMD sampling for the calculation of the free-energy change due to NQEs in the water monomer and dimer.F′(λ) is as defined in Eq. (9), but divided by the number of water molecules in the simulation cell. Integration of this quantity from 0 to 1 gives us the final ΔF[nH2O]/n.[57]