“…The calculation formulas involved in this paper are as follows
Equations 7 – 9 are the calculated equations of binding energy for NM-doped systems ( E b ), 75 adsorption energy for the HER intermediate ( E ads-*H ), 57 , 75 , 76 and adsorption free energy for the reaction intermediates (Δ G ), 5 respectively, where E Si–(NM)2 , E PM , E Si–(NM)2–PM , E H 2 , and E *H are the total energies of NM-doped silicene, single PM atom, Si–(NM)2–PM-doped systems, H 2 , and *H, respectively. Moreover, Δ E , Δ E ZPE , T , and Δ S are the reaction intermediates’ chemisorption energy, reaction zero-point energy, environment temperature, and entropy changes between the adsorbed and the gas phase, respectively.…”