“…In an earlier paper, we took the hypothesis that refinery zeolite collapse kinetics were separable into tetrahedral framework aluminum (AlO 4 – , Al T ) and silicon (SiO 4 , Si T ) contributions. The separability hypothesis is common in the study of differential equations and made reasonable in the present case because, as noted above, E-cat dealumination is much faster than Si T collapse. ,, After subtracting Al T , the earlier-derived expression for the fractional retention of zeolite framework Si T (eq 6) explained the full range of refinery and pilot plant data available in the literature. − Refineries, however, sometimes employ mixtures of catalysts, which can include two different zeolites. Some of our earlier laboratory results (Figures 3, 5, and 7 in ref ) also appear to be consistent with a zeolite mixture hypothesis.…”