Gas Sorption Surface Analysis

Gas sorption (both adsorption and desorption) at the clean surface of dry solid powders is the most popular method for determining the surface area of these powders as well as the pore size distribution of porous materials. In a gas sorption experiment, the material is heated and degassed by vacuum force or inert gas purging to remove adsorbed foreign molecules. Controlled doses of an inert gas, such as nitrogen, krypton, or argon, are introduced and the gas is adsorbed, or alternatively, withdrawn and desorbed. The sample material is placed in a vacuum chamber at a constant and very low temperature, usually at the temperature of liquid nitrogen (-195.6 °C), and subjected to a wide range of pressures, to generate adsorption and desorption isotherms. The amounts of gas molecules adsorbed or desorbed are determined by the pressure variations due to the adsorption or desorption of the gas molecules by the material (the adsorbent). Various amounts of gas molecules will be adsorbed or desorbed at different doses of the gas (the adsorbate). Knowing the area occupied by one adsorbate molecule, σ (for example, σ= 16.2 Å2 for nitrogen), and using an adsorption model, the total surface area of the material can be determined. The most well known and widely used is the BET equation for multilayer adsorption [i]:

 

In Eq. 1, P, PO, c, n, nm are the adsorption pressure, the saturation vapor pressure, a constant, the amount adsorbed (moles per gram of adsorbent) at the relative pressure P/PO, and the monolayer capacity (moles of molecules needed to make a monolayer coverage on the surface of one gram of adsorbent), respectively. Through the slope and intercept of a plot of P/[n(PO-P)] against (P/PO), nm can be resolved. The specific surface area, S, can then be derived:

 

In Eq. 2, NA is Avogadro’s number. The specific surface area that can be determined by gas sorption ranges from 0.01 to over 2000 m2/g. Determination of pore size and pore size distribution of porous materials can be made from the adsorption/desorption isotherm using an assessment model, suitable for the shape and structure of the pores. The range of pore sizes that can be measured using gas sorption is from a few Ångstroms up to about half a micron.
Footnotes

i. Brunauer, S., Emmett, P. H., Teller, E., Adsorption of Gases in Multimolecular Layers, J. Am. Chem. Soc., 1938, 60, 309-319.