“…The AIPIMD simulation (in which quantum effects are introduced to nuclei) was performed for 90,000 steps with 16 beads after a thermal equilibrium of 1,000 steps using a time step size of 0.1 fs. In the quantum calculations, the normal mode transformation to isolate the time scales associated with the different mode and the Nosé–Hoover chain thermostats were attached to each degree of freedom (3 NP sets where P and N mean the number of beads and number of nuclei, respectively) as recommended by Tuckerman et al, which has been also used in our previous work. ,,, The conventional AIMD simulation (in which nuclei were treated classically) was also performed for 1,500,000 steps with 1 bead after a thermal equilibrium run of 1,000 steps using a time step size of 0.1 fs.…”