extent of an interface (surface)

Also contains definitions of: geometric surface (interface) area, stepped surface
https://doi.org/10.1351/goldbook.E02282
A quantity measured by its area, \(A\) (or \(S\)). For solids, a real (true, actual) and a geometric surface (interface) area, \(A_{\text{r}}\) and \(A_{\text{g}}\), respectively, may be defined if asperities are present whose height is orders of magnitude greater than the atomic or molecular size. The geometric surface is the projection of the real surface on a plane parallel to the macroscopic, @VT07496@ phase boundary. If asperities are of the order of the atomic size, the surface of the solid may be described as stepped. (High index faces of crystals are stepped surfaces but may be ideally smooth in the sense of the @R05419@.)
Source:
PAC, 1986, 58, 437. (Interphases in systems of conducting phases (Recommendations 1985)) on page 439 [Terms] [Paper]