Funny reply from Yurii V Geletii ("Continue to waste your time")!! But he is correct.
Some researcher, they developed bi-functional catalyst which can work both HER and OER. But in commercial way in general Platinum based catalyst are used for HER and metal oxides (IrO2, RuO2, etc) are used in OER.
thank you for posting this very interesting technical question on RG. As mentionend by Yurii, HER and OER are two completely different reactions. Together with the oxygen reduction reaction (ORR) these reactions are essential not only for water splitting but also for fuel cells and metal–air batteries. Last year researchers reported the surprising finding that certain bifunctional catalysts can catalyze both the HER and OER reactions. For more information about this finding please have a look at the following very interesting article:
Bifunctional HER/OER or OER/ORR Catalytic Activity of Two-Dimensional TM3(HITP)2 with TM = Fe–Zn
Article Bifunctional HER/OER or OER/ORR Catalytic Activity of Two-Di...
Unfortunately this paper has not yet been posted as public full text on RG. However, three of the authors have RG profiles. Thus chances are that you can request the full text e.g. from the corresponding author via RG.
Good luck with your work and best wishes, Frank Edelmann