Porous Silica by K.K. Unger (Eds.) PDF

By K.K. Unger (Eds.)

ISBN-10: 0444416838

ISBN-13: 9780444416834

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35. For n = 1 , eqn. 4 reduces to which is equivalent to the equation of the Langmuir isotherm. In other words, the threeparameter BET equation gives results that agree, at n = 1 , with those obtained by means of the Langmuir equation. The objective of the BET theory is to evaluate X m , the monolayer capacity, from the multilayer region of the sorption isotherm. As eqns. 6 give linear plots, X m can be easily calculated from the slopes and the intercepts of the straight lines. The quantity n in eqn.

36) (nm) = SBET Again, it is assumed that the pores are cylindrically shaped. Fig. 8 shows a plot of DWh versus D , obtained from nitrogen sorption data applying the Pierce method. The samples were mesoporous silicas. It can be seen that &h is mostly greater than D and hence the Wheeler equation gives only rough information about the order of magnitude of D . When comparing pore distributions obtained by different methods, the AVp/AD and A S / A D values, respectively, should be equal for both distributions.

On the purely mesoporous silica, a multilayer of adsorbate is formed, increasing the relative pressure. 4, capillary condensation takes place on the multilayer, which results in a further increase in X,. The 20 horizontal branch at higher p / p o indicates that all mesopores are filled with liquid adsorbate. 4b, the desorption branch does not follow the adsorption branch, but gives a distinct hysteresis loop, which is reproducible. The hysteresis can be explained by a different filling mechanism of the mesopores by means of capillary condensation, depending on the pore shape [1,2].

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Porous Silica by K.K. Unger (Eds.)

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