The three-dimensional crystal structure of rotationally disordered ill
ite/smectite (I/S) in K-bentonite samples from the Appalachian basin a
nd neighboring areas is described using the parameters of 1) P-0, the
proportion of zero-degree layer stacking rotations, such as in the pol
ytype series 1Md-1M; 2) P-cv the proportion of 2:1 layers with cis-vac
ant (cv) octahedral sites that are randomly interstratified with trans
-vacant (tv) layers; and 3) P-60, the proportion of layers with n . 60
degrees rotations (as opposed to n . 120 degrees) in the rotated laye
rs. These parameters were determined by computer modeling of experimen
tal randomly oriented powder X-ray diffraction patterns. The proportio
n of cv interstratification in the I/S increases with Al and decreases
with Mg and Fe content. The proportion of n . 60 degrees rotations in
the rotated layers increases with Mg and Fe content. The cv 120 degre
es disordered structure correlates with tetrahedral Al for Si substitu
tion and increasing tetrahedral charge. The tv n . 60 degrees disorder
ed structures correlate with octahedral Mg for Al substitution. The da
ta indicate that the type of unit cell and nature of rotational disord
er in I/S is controlled by the octahedral Mg content. The three-dimens
ional structures do not show any systematic correlation with Reichweit
e and percent expandability as determined from diffraction patterns of
oriented sample preparations.