Abstract--Consideration of XRD, TEM, AEM, and analytical data reported in the literature indicates that dioctahedral aluminous smectite and illite form two separate solid solutions that differ chemically from one another primarily by the extent of A1 substitution for Si, the amount of interlayer K, and the presence of interlayer H20. The data indicate that limited dioetahedral-trioctahedral and dioctahedralvacancy compositional variations occur in both minerals. Excluding interlayer H20 and based on a half unit cell [i.e., Oto(OH)2], natural dioctahedral smectite and illite solid solutions fall within the compositional limits represented by Ao.3R~*Si40,o(OH)2-AR2+ R3+ Si40,o(OH)2-Ao2sR~3 R3178Alo.25Si3.7,Ojo(OH)2 for smectites and A~.sR3)`~d~5Sis.~'~(~H)2-A~5R~+5R3.~s~.'Si~9~'~(~H)2-~.9R2+R~9Si3.'~(~H)2 for illites, where A represents either monovalent cations or divalent cations expressed as their monovalent equivalent (e.g., Ca 2 § R-" + stands for the divalent cations Mg 2 § and Fe 2 § and R 3 + refers to the trivalent cations AP § and Fe -3 § Taking account of these compositional limits, smectite and illite solid solutions can be described in terms of nine and six thermodynamic components, respectively, all of which are consistent with both the law of definite proportions and the concept of a unit cell. Thermodynamic components that can be used to describe natural smectite solid solutions in terms of a half unit cell [i.e., Ojo(OH)2] can be expressed as NaA13Si30~o(OH)2, NaA13Si30~o(OH)2.4.5H20, A12Si40~o(OH)2 ,Cao.~A13Si3Oto(OH)2. Of these, NaAI3Si30~o(OH)2 " 4.5H20 provides explicitly for the presence of interlayer H20 in the mineral. Thermodynamic components representing illite solid solutions in natural systems can be written for a half unit cell as KA13Si30,o(OH)2, KMg3AISi30,o(OH),, KFe3AISi3OIo(OH)2 , AIzSi40~o(OH)~, KFe2AISi~O~o(OH)_,, and K3AISi40~o(OH)2. The calculations and observations summarized below indicate that neither smectite nor illite occur in nature as stoichiometric phases and that the two minerals do not form a mutual solid solution corresponding to mixed-layered illite/smectite.