Many soft-matter and solid-state materials form well-defined nanostructured phases, such as lamellar, hexagonal, cubic, or other ordered assemblies. Determining which phase is present and how it evolves under varying conditions — is essential for understanding self-assembly behavior, processing pathways, and functional properties in polymers, surfactants, liquid crystals, mesoporous materials, and nanostructured solids.
Small-Angle and Wide-Angle X-ray Scattering (SAXS/WAXS) provide a direct, structural fingerprint of these phases. By measuring the positions and relative intensities of Bragg peaks, X-ray scattering enables rapid and unambiguous phase identification, as well as access to unit cell parameters and ordering characteristics.
SAXS and WAXS probe how X-rays are scattered by periodic electron-density modulations in ordered materials. Each ordered phase exhibits a distinctive set of Bragg peaks whose positions follow characteristic ratios determined by the symmetry of the lattice.
Phase identification relies on comparing the expected reflections (their q-positions and intensity ratios) with the experimental scattering pattern. Once a match is established, the technique provides quantitative structural parameters, including:
Figure 1. Experimental WAXS data (black) are compared with the expected Bragg peak positions of the LaB₆ crystalline phase (blue), and a peak-fitting model (yellow) is applied to extract lattice parameters and confirm phase purity. The close agreement between measured and calculated intensities demonstrates robust identification of the crystalline phase.
SAXS is sensitive to nanometer-scale periodicities, while WAXS extends this capability to smaller lattice spacings, enabling combined analysis when necessary.
Phase identification by SAXS/WAXS applies to a wide range of self-assembled and nanostructured systems.
Typical examples include:
Because SAXS requires minimal sample preparation and probes large sample volumes, it is well-suited for studying bulk phases, thin films, and complex multi-phase systems, as well as materials under processing or environmental conditions.
SAXS and WAXS deliver rapid, precise, and non-destructive identification of nanostructured phases. Their key advantages include:
Enabling unambiguous identification of phase symmetry through characteristic Bragg peak sequences.
Supporting interpretation of unit cell dimensions and structural evolution.
Allowing measurements on bulk materials, films, powders, or dispersions without staining or sectioning.
Providing real-time insight into phase transitions during heating, cooling, self-assembly, reaction, shear, or processing.
Revealing how external conditions influence structure formation.
These features make SAXS/WAXS indispensable for understanding self-assembly mechanisms, processing–structure relationships, and functional phase behavior across polymers, soft matter, and nanostructured materials.