The realization of several future electronic and optoelectronic Si‐based devices is impeded by the limited critical thickness of strained, pseudomorphic, and Ge‐rich Si1−xGex layers grown on Si(001) substrates, i.e., before their relaxation. Herein, atomic force microscopy is used to investigate the surface morphology of about 170 Si1−xGex/Si(001) samples with various Ge compositions ranging from ≈36% to 100% and film thicknesses from ≈1 to ≈16 nm. Furthermore, by defining the quality standards concerning the surface roughness, the relaxation behavior is explored for epitaxial films with x significantly larger than 50%, which is experimentally lacking to date. Thereby, it is found that by lowering the substrate temperature during molecular beam epitaxy growth to 350 °C, Ge‐rich and dislocation‐free epitaxial films with an excellent root‐mean‐square surface roughness of <0.2 nm can be deposited. Furthermore, the low surface roughness is conserved for thicknesses well beyond the theoretical predictions of People and Bean.