The varied polymorphism and its phase transition sequence for lithium ammonium sulfate (LAS) were not exempt from controverse. The alpha-LAS polytypes usually crystallizes below 293 K and they present a complex correlated structural disorder that can be represented by, at least, three different polytypes. In this work two of their were obtained, above room temperature, by doped with Er3+ and Yb3+. When the ionic radius of the rare earth decreases, the substitution of the ammonium ion favors the more open layered structure. Both structures belong to the space group P21=c and a displacive distortion has been calculated between them. On the other hand, by use of the use of thermal analysis, X-ray diffraction and dielectric techniques we have clarified most of the controversy over the stability of alpha-polytypes. We also offer information that helps explain the nature of alpha-polytypes (with two new structures) and the key to explaining the reconstructive alpha-beta phase transition, through the common structural motif between both structural modifications.