  Superior stability and safety are key promises attributed to all-solid-state
batteries (ASSBs) containing solid-state electrolyte (SSE) compared to their
conventional counterparts utilizing liquid electrolyte. To unleash the full
potential of ASSBs, SSE materials that are stable when in contact with the low
and high potential electrodes are required. The electrochemical stability
window is conveniently used to assess the SSE-electrode interface stability. In
the present work, we review the most important methods to compute the SSE
stability window. Our analysis reveals that the stoichiometry stability method
represents a bridge between HOMO-LUMO method and phase stability method (grand
canonical phase diagram). Moreover, we provide computational implementations of
these methods for SSE material screening. We compare their results for the
relevant Li- and Na-SSE materials LGPS, LIPON, LLZO, LLTO, LATP, LISICON, and
NASICON, and we discuss their relation to published experimental stability
windows.
