The liquid-liquid critical point hypothesis suggests that liquid water exists in two liquid states with different local structures, so-called high- and low-density liquid (HDL, LDL). At ambient pressure water locally fluctuates between these two states, with the fluctuations becoming more pronounced as the liquid is supercooled. In this thesis, we explore the role of molecular heterogeneity in the structural dynamics of aqueous solutions, specifically investigating the interplay of different solutes in water with the hypothesized HDL-LDL fluctuations. In our experimental approach, we utilize coherent light and X-ray scattering techniques, including small- and wide-angle X-ray scattering (SAXS, WAXS), as well as correlation methods, such as dynamic light scattering (DLS) and X-ray photon correlation spectroscopy (XPCS), that enable us to probe structural dynamics at a broad range of length and time scales. 

Using DLS, we measure the diffusive dynamic behaviour of differently sized nanomolecular probes in supercooled water, finding that it is effectively similar and independent of probe size down to molecular scales of ≈1 nm. In contrast to single water molecules, these probes experience a similar dynamic environment, which coincides with the bulk viscosity. These results could suggest that anomalous influence from the hypothesized water fluctuations becomes apparent first on sub-nm length scales. Furthermore, we explore how the presence of small polar-organic solutes modulates the water phase diagram, utilizing glycerol-water solutions as a model system. By outrunning freezing with the rapid evaporative cooling technique, combined with ultrafast X-ray scattering at X-ray free-electron lasers (XFELs), we are able to probe the liquid structure in deeply supercooled dilute glycerol-water solutions. Our findings indicate the existence of HDL- and LDL-like fluctuations upon supercooling, with a Widom line shifted to slightly lower temperatures compared to pure water. Further experiments on deeply supercooled glycerol-water solutions at intermediate glycerol concentrations, combining WAXS and SAXS/XPCS, provide additional insights. These results reveal a first-order-like liquid-liquid transition involving discontinuous changes in the inter-atomic liquid structure and nanoscale liquid dynamics, which precedes ice crystallization. 

Lastly, with the aim of developing powerful tools for resolving dynamics within spatially heterogeneous systems, including aqueous solutions, we combine the spatial resolution of nanofocused coherent X-ray beams with dynamic measurements by XPCS. Here, we successfully demonstrate a first proof-of-concept experiment of so-called nanofocused XPCS at MAX IV synchrotron radiation facility. In future experiments, we plan to go beyond standard XPCS at synchrotrons, towards accessing ultrafast atomic-scale liquid dynamics by X-ray speckle visibility spectroscopy (XSVS) at XFELs.