R. Schmidt et al., PORE-SIZE DETERMINATION OF MCM-41 MESOPOROUS MATERIALS BY MEANS OF H-1-NMR SPECTROSCOPY, N-2 ADSORPTION, AND HREM - A PRELIMINARY-STUDY, Journal of the American Chemical Society, 117(14), 1995, pp. 4049-4056
The aim of the present study is to derive a mathematical pore size dis
tribution function containing a limited number of adjustable parameter
s. These parameters can be determined exclusively from H-1 NMR measure
ments. Regular mesoporous MCM-41 materials with different pore sizes,
ranging from 20 to 30 Angstrom, were synthesized and characterized by
HREM, N-2 adsorption, and H-1 NMR. The pore sizes determined by Nf ads
orption and HREM were in good agreement. The H-1 NMR technique was use
d to determine the freezing point of water enclosed in water-saturated
samples. By combining N-2 adsorption and H-1 NMR measurements, a simp
le relation was found between the freezing point depression (Delta T)
and the pore radius (R(p)): Delta T = K/(R(p) - t(f)) with t(f) = 3.49
+/- 0 36 Angstrom. The observation that t(f) not equal 0 is tentative
ly explained by the formation of a surface layer of nonfreezing water
of thickness t(f), which effectively reduces the actual pore radius fr
om R(p) to R(p) - t(f). A mathematical model is derived which enables
the pore size distribution to be determined from H-1 NMR intensity vs
temperature measurements of water-saturated materials. The pore size d
istribution of amorphous' silica determined independently by H-1 NMR a
nd N-2 adsorption agreed well. However, the pore size of a microporous
VPI-5 material (R(p) = 6.05 Angstrom) could not be predicted by the p
resent model.