“…In addition, Drits et al (1997cDrits et al ( , 1998 have derived a unique relation linking the a and b 2 parameters of the coherent scattering domain (CSD) size lognormal distribution reported for these clay minerals to the average thickness of the crystals (N): that is, a ¼ 0:9485lnN À 0:017 and b 2 ¼ 0:1032 lnN þ 0:034 A lognormal distribution of CSD sizes, with the above a and b 2 parameters, allowed a satisfactory fitting of the XRD data of various periodic and mixedlayer clay minerals (Drits et al, 1997b(Drits et al, , 2002aSakharov et al, 1999a, b;Lindgreen et al, 2000Lindgreen et al, , 2002Lindgreen et al, , 2008Claret et al, 2004;McCarty et al, Chapter 2.3 X-ray Identification of Mixed-Layer Structures 2004Ferrage et al, 2005bFerrage et al, , 2007Ferrage et al, , 2011bInoue et al, 2005;Lanson et al, 2009). With the lognormal distribution, the contribution of very thick crystals to the diffracted intensity becomes rapidly insignificant because of their negligible proportion, and the maximum number of layers in crystals (N max ) may be set to $ 5N for practical purposes.…”