[en] An overview of three decades of studies of the low temperature structural behaviour of the bulk of alpha-Uranium (α-U) is presented. Combining high-resolution elastic and inelastic neutron scattering made it possible to observe and study, down to 5 K, the structural and lattice dynamical aspects of a series of three charge-density waves (CDWs) transition (43, 37 and 22 K). However at lower temperatures several physical quantities show anomalies such as a controversial superconductivity transition. This stresses the need for extra structural data down to very low temperatures. While this would be a challenge with neutrons due to fission sample heating, a new opportunity is offered by low temperature Laue diffraction with hard X- rays. For example a full locking of the periodic lattice distortion (PLD) can be expected related to the evolution of the CDW and/or the appearance of a SDW, this might help understand the physical behaviour of the material and clarify the role of sample impurities