What is measured?

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:

  • Phase symmetry and identification, based on the scattering peak sequence (e.g., lamellar, hexagonal, cubic)
  • Unit cell parameters, derived from peak positions according to the lattice geometry
  • Degree of order, inferred from peak sharpness and multiplicity
  • Phase coexistence or transitions, visible from the appearance or disappearance of symmetry-specific reflections

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.

Samples

Phase identification by SAXS/WAXS applies to a wide range of self-assembled and nanostructured systems.

Typical examples include:

  • Micelles and surfactant assemblies
  • Block copolymers in bulk, films, or solutions
  • Liquid crystalline materials
  • Nanostructured inorganic or hybrid solids
  • Powders, gels, emulsions, and hierarchical materials

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.

Why use SAXS/WAXS for Phase Identification?

SAXS and WAXS deliver rapid, precise, and non-destructive identification of nanostructured phases. Their key advantages include:

01

Direct structural fingerprints

Enabling unambiguous identification of phase symmetry through characteristic Bragg peak sequences.

02

Quantitative access to lattice parameters

Supporting interpretation of unit cell dimensions and structural evolution.

03

Minimal sample preparation

Allowing measurements on bulk materials, films, powders, or dispersions without staining or sectioning.

04

In situ and operando capabilities

Providing real-time insight into phase transitions during heating, cooling, self-assembly, reaction, shear, or processing.

05

Ability to track phase coexistence and transformation pathways

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.