A method consistent with the Gibbs' formalism is presented for measuri
ng the Gibbsian interfacial excess of solute (GAMMA) at an internal in
terface using atom-probe field-ion microscopy (APFIM). The values of G
AMMA are measured directly, that is, without deconvolution procedures.
The relationships between GAMMA and the thermodynamic-state variables
of an internal interface are studied using the techniques of APFIM an
d transmission electron microscopy (TEM). Examples are given of the ap
plication of APFIM-TEM to the measurement of GAMMA at grain boundaries
in an Fe(Si) alloy.