M. Kruk et al., APPLICATION OF LARGE-PORE MCM-41 MOLECULAR-SIEVES TO IMPROVE PORE-SIZE ANALYSIS USING NITROGEN ADSORPTION MEASUREMENTS, Langmuir, 13(23), 1997, pp. 6267-6273
MCM-41 siliceous molecular sieves were used to test the applicability
of the Kelvin equation for nitrogen adsorption in cylindrical pores of
the size from 2 to 6.5 nm. It was shown that the Kelvin equation for
the hemispherical meniscus, corrected for the statistical film thickne
ss, is in quite good agreement with an experimental relation between t
he pore size and the capillary condensation pressure. The agreement ca
n be made quantitative in the pore size range from ca. 2 to 6.5 nm, if
a simple correction to the Kelvin equation is introduced. The require
d statistical film thickness curve (t-curve) was calculated using nitr
ogen adsorption data for large pore MCM-41 samples and the obtained re
sults were extrapolated using an adsorption isotherm for a macroporous
silica gel. Moreover, an accurate analytical representation of the t-
curve was found. Since both the corrected Kelvin equation for cylindri
cal pores and the t-curve have simple analytical forms, they can conve
niently be used in a variety of methods to evaluate porosity. It was s
hown that the BJH method with the corrected Kelvin equation accurately
reproduces pore sizes of MCM-41 materials. A comparison was made betw
een the specific surface areas for the MCM-41 samples calculated on th
e basis of the BET equation and those obtained using other independent
methods. The results strongly suggest that when nitrogen adsorption d
ata are used, the BET method overestimates the specific surface area o
f siliceous materials. The latter conclusion was supported by the exam
ination of the obtained statistical film thickness curve.