This study formulates the following relationship for identifying randomly interstratified illite/smectite using the integrated peak widths (β) for the first-order reflections after ethylene-glycolation (EG) and thermal dehydration (TD) treatments:

\[\mathit{p_{i}}\ =\ {-}\frac{{\beta}_{EG}\ {-}\ 0.589{\beta}_{TD}}{1.324{\beta}_{TD}\ {-}\ 3.911}\]

where pi is the proportion of interstratified illite layers. The relationship minimizes the effect of crystallite thickness on the evaluation of pi, which has been a critical source of error in the previous methods using peak position and intensity.

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