“…Mathematical relationships between crater diameter and rim height were developed for craters on Mercury only for diameters between 2.4 km and 43 km because of limited coverage of larger, partially shadowed craters (Pike, 1988). Although recent work on the relation between crater depth and diameter (from 1.3 km to $130 km in diameter; Barnouin et al, 2012) shows that earlier relationship to be valid, the Pike (1988) equations may overestimate crater rim height because the ratio of diameter to depth tends to decrease for larger craters (D > 30 km), particularly at the transitions between crater morphological types (e.g., immature complex to mature complex craters; e.g., Williams and Zuber, 1998;Baker et al, 2011;Barnouin et al, 2012). Moreover, because the crater preservation state at the time of embayment is unknown, these equations likely overestimate the rim heights of degraded craters, which tend to be lower than those of pristine craters.…”