We have the def's written in our FOM, but the adequate altnernate definition is taken directly from 121.197, but doesn't say "adequate" anywhere. 121.624 states what's needed for an ETOPS alternate, and mentions adequate but no where is "suitable" mentioned. However, the original ETOPS AC (120-42A) does specify definitions for adequate and suitable. But that circular has been canceled and replaced.
direct from that AC
a. Airport.
(1) Adequate. For the purpose of this AC, an adequate
airport is an airport certified as an FAR Part 139 airport or is found to be equivalent to FAR Part 139 safety requirements.
(2) Suitable. For the purpose of this AC, a suitable airport is an adequate airport with weather reports, or forecasts,
. or any combination thereof, indicating that the weather conditions are at or above operating minima, as specified in the operation specifications, and the field condition reports indicate that a safe landing can be accomplished at the time of the intended operation