In previous years a new theory, modern thermodynamic calculation of in
terface properties (MTCIP), was developed. Its general equations on th
e thermodynamic equilibrium were solved in a first approximation (MTCI
P-1A) and applied to several dilute binary alloy systems in good agree
ment with experimental results, even in the case of surface reactions
with the environment. Here, first a more developed second approximatio
n (MTCIP-2A) is shortly outlined, allowing, among other new results, f
or any number of interface sublayers, and being valid in the total com
positional range of the bulk. Then, by some simplifications, a new seg
regational isotherm is developed from it. Using the two dilute limits
as described by the MTCIP-2A, then even with a single surface composit
ion (measured at any bulk composition and temperature) this segregatio
nal isotherm permits to obtain surface compositions over the total bul
k compositional range. Results are shown for the low-index surfaces of
PtNi at temperatures of about 1100 K, mostly in better agreement with
experimental values than other present theories.