The detailed X-ray diffraction study of normal paraffins in the C₂₂H₄₆-C₂₄H₅₀ system at various temperatures was performed at a temperature step of several tenths of degree. The obtained experimental results indicate the existence of a new type of the rotational crystalline state of solids intermediate between low- and high-temperature types. In the case of paraffins, this state is characteristic of solid solutions and corresponds to a mixed-type thermal motion of chain molecules within the same structure: a combination of chaotic torsional vibrations (low-temperature type) and full rotations (high-temperature type) about the chain axis.