Low-dimensional systems often exhibit electronic instabilities that can lead to charge density waves (CDWs) or superconductivity. The CDWs have a characteristic frequency q (q-vector) that corresponds to the so-called nesting vector of the Fermi surface (FS). Nesting favors electron-phonon coupling, which is believed to be responsible for the formation of the CDW and often overpowers a competing superconductive state. Although the description of CDW behavior for one-dimensional systems (1D) is well established, no proper theoretical models have been developed for the two-dimensional (2D) cases. 1 Recent studies have focused on the high-temperature CDW family of materials RETe 2 and RETe 3 (RE ) rare earth element) which contain square Te nets. We now have new insights as to the nature of the phenomenon in these materials. [2][3][4] The RETe 3 family has gained more attention in recent years because of its quasi-2D incommensurate CDW states and their effect on the electronic structure. Extensive structural, 5 spectroscopic, 6 and other physical 7 studies have revealed unique chemical and physical behavior among the classical CDW systems. However, only recently was it recognized through angle-resolved photoemission spectroscopy (ARPES) studies that LaTe 2 is the first semiconductor where the 2D CDW distortion is Fermi surface nesting driven. 8 Variations in the electron count alters the energy of the Fermi level and thus the nesting properties of the Fermi surface (q-vector). The average formal charge per Te atom in the Te net of RETe 3 is -0.5e whereas for RETe 2 is -1e. Based on these results, it is compelling to examine the family RE 2 Te 5 , in which the types of square Te nets found in RETe 2 and RETe 3 now occur together in the same lattice. Each has its own average oxidation state of 1-and 1/2-respectively. The electronic behavior of such a hybrid system is unknown. Surprisingly, only a few physical and structural characterization studies for RE 2 Te 5 have been reported. 9 Will these two nets act independently to create their own CDW or would a single emergent CDW behavior be operative?The structure of RE 2 Te 5 is essentially a 1:1 combination of the structures of RETe 2 and RETe 3 , Figure 1. It contains one square net of Te 1atoms found in the RETe 2 family and two square nets of Te 1/2atoms present in the RETe 3 compound. It is well-known that the number of electrons per Te atom controls the type of CDW modulation. 10 Although the CDW RETe 2 and RETe 3 compounds are substructure components of the RE 2 Te 5 phase, no CDW distortions have been found for the composite structure. 9 Here, we report for the first time the structural determination of the incommensurate CDW states in Sm 2 Te 5 and confirm the existence of two coexisting CDW states in a single material.We find that each of the two types of planar Te nets has its own CDW distortion manifested by the existence of two individual