The surface characterization of nanopowders
is widely attempted
by both N2 and Ar vapor adsorption methods. They are used
as complementary probe molecules because of their similarities and
certain differences. However, the respective reported analyses, using
the Brunauer–Emmett–Teller method, suffer from inconsistencies
between the determined values of the specific surface areas, A
s. We examine this issue by using the zeta adsorption
isotherm approach on the reported data for both vapors on two different
samples from the same batch of a nanopowder material. By assuming
the equivalence of the A
s determined by
both of the vapors, we obtain the average occupied area of an adsorbed
argon atom, σA(Ar), on silica and carbon black at
the solid- and liquid-state temperatures of 77 and 87 K, respectively.
We then examine the determined value of σA(Ar) by
obtaining A
s for other samples of the
same material with varying specific areas. By transforming the adsorption
data from mass-specific to area-specific, the respective thermodynamic
isotherms, n
SV, of Ar vapor adsorbing
on silica and carbon black are obtained. The determined n
SV are then used with the Gibbs adsorption equation to
determine the solid surface energy, γS0, and solid–vapor
interface energy, γSV, for both substrates. The obtained
γSV(x
V) on both substrates
is used to interpret the phase transition state of the Ar adsorbate
at 77 K. The determined thermodynamic isotherms for Ar and N2 vapors are further used in a comparative study to show that the
Ar vapor adsorption is negligibly affected by the change in silanol
concentration on the silica surface in contrast with N2 vapor adsorption.