“…But, the Ru-d electron densities near the E f for the CNT–Ru, CNT–Fe–Ru, CNT–V–Ru, and CNT–V–Fe–Ru are significantly enhanced, which implies Ru sites as the potential active centers for the HER . However, overly strong H adsorption intensity on Ru sites will prohibit the desorption step, thus resulting in a decreased HER performance. , It is necessary to moderately weaken the H adsorption intensity on Ru sites via introducing substrates to improve catalytic performance . The d centers for CNT–Ru, CNT–Fe–Ru, CNT–V–Ru, and CNT–V–Fe–Ru after H-absorbed are −1.68 eV, −1.77 eV, −1.72 eV, and −1.84 eV, respectively, suggesting that a CNT–V–Fe substrate can decrease the H adsorption intensity of the Ru site to the greatest extent according to the d-band theory. ,− Thus, CNT–V–Fe–Ru will show efficient HER catalytic performance.…”