Matrix algebra analysis of martensitic transformations has been employed for the determination of habit planes and shape deformations of Ca2SiO4 upon totransformation during heating. The cell parameters of both the parent and product L-phases at the transformation temperature (710) have been found from extrapolation of the regression of their cell-parameter variations. The analysis indicates that one of the prin cipal distortions (=cL/3b) of the lattice deformation is equal to unity, and the other principal distortions are larger and smaller than unity. This satisfies the requirement for the formation of completely coherent interfaces between the two phases, which are almost parallel to either (100) or (001) Because the trans formation involves a very small volumetric expansion of 0.3%, the strain accommodation would be almost completed. Both the complete coherency at the interphase boundaries and the effective strain accommoda tion probably lead to the thermoelasticity of the transformation, in accord with a previous study for doped Ca2SiO4.[ and their cell parameters at the transformation temperature. Because the accuracy of the latter is essential to the reliability of the calculation results, they were determined for the crystals in which the two phases coexist. By virtue of the constraint represented by the equation 3b=cL, one of the three principal distortions of the lattice deformation was equal to unity. The other two principal distortions satisfied the requirement for the forma tion of coherent interphase boundaries between the two phases. The coherency as well as the effective strain accom modation have strongly suggested the thermoelasticity of the transformation. The predictions were in good agree ment with the actual experimentally determined shape deformation.3)The thermoelasticity of C2S solid solutions has been con firmed based on the growth and shrinkage behavior of the martensite plates during cooling and heating.3) The thermal hysteresis (As-Ms) was negative, where AS and MS are the starting temperatures of the reverse (to-L) and for ward transformations, respectively.3)-5) Because of the athermal nature of the transformation, the amount of trans formation remains unchanged when the temperature is kept constant. Thus, the L and -phases coexist within the tem perature intervals between Ms and Mf during cooling and between A and Af during heating, where Mf and Af are the finishing temperatures of the forward and reverse transfor mations, respectively. These transformation temperatures have been successfully determined by high-temperature X ray diffractometry (HT-XRD) and high-temperature opti cal microscopy.3)-5)With pure C2S, the thermoelasticity of the L marten sitic transformations is still uncertain. Recently, Remy et al.6) have determined the temperature dependence of the