The science

From average structure to local structure

Powder diffraction provides detailed information about the average periodic structure of crystalline materials. Total-scattering measurements contain both Bragg and diffuse-scattering contributions. PDF analysis uses suitably reduced total-scattering data to investigate local and medium-range pair correlations in real space.

Science at a glance

Average structure, local structure

What each level of analysis describes, and where the method emphasis shifts.

Average / long-range periodic structure
Unit cell, symmetry, average atomic arrangement, phases
Bragg diffraction / Rietveld
Local structure
Nearest-neighbour distances, coordination, local distortions
PDF
Medium-range correlations
Correlated distortions and extended local order
PDF / diffuse scattering / modelling
Atomistic structural modelling
Specific local structural models and correlations
Big-box / RMC / complementary modelling

Powder X-ray diffraction (PXRD)

Average structure

When X-rays or neutrons interact with a crystalline powder, the periodic arrangement of atoms produces a powder diffraction pattern containing Bragg reflections and, depending on the material and experiment, diffuse-scattering contributions. Peak positions support phase identification, while quantitative phase analysis uses full-pattern intensities and appropriate models to estimate phase fractions. Rietveld refinement can refine lattice parameters and, where the data quality and structural model support it, parameters such as atomic positions, occupancies and displacement parameters. Powder diffraction is widely used for phase identification, quantitative phase analysis and crystallographic refinement of crystalline materials.

Wider applications

Phase identification and quantitative phase analysis of multi-component mixtures
Rietveld refinement of crystal structures and, where supported by the data, structural parameters
Pharmaceutical polymorph screening and quality control
Phase identification and quantitative phase analysis of cementitious materials
Mineral phase identification and quantitative mineralogical analysis
Microstructure, texture and residual-stress analysis of metals and alloys
X-ray diffraction methods for thin films and textured materials

What ANALISA can do

Phase identification · Quantitative phase analysis · Rietveld refinement · Full-pattern analysis

Explore Powder Diffraction Analysis →

Total scattering & PDF

Local structure

Total-scattering measurements contain both Bragg and diffuse-scattering contributions. Rietveld refinement primarily models the Bragg component to describe the average periodic structure, whereas PDF analysis uses suitably reduced total-scattering data to access real-space pair correlations. After appropriate data reduction and Fourier transformation, the pair distribution function, G(r), provides access to local and medium-range structural information that may not be captured by an average crystallographic model. Interpretation still requires structural modelling and awareness of data-reduction and instrumental effects.

Batteries

Electrode local structure

PDF analysis can probe local structural changes associated with cation ordering, nano-phase formation, anion-redox-related structural changes and lithium storage in cathode and anode materials, often in combination with complementary measurements, including operando measurements through charge/discharge cycling.

Catalysis & nanoparticles

Nanoscale structure

For nanostructured and poorly crystalline materials, conventional average-structure models may become insufficient to describe finite-size effects, local distortions and structural disorder. PDF analysis provides real-space pair-correlation information that can complement conventional crystallography, particularly when combined with complementary methods.

Pharmaceuticals

Polymorphs & amorphous content

PDF analysis can support polymorph discrimination and investigations of local order and amorphous components in pharmaceutical formulations prepared via milling, dehydration, compaction or quench cooling.

Disordered materials

A common structural framework

Correlated disorder can leave characteristic signatures in diffraction and total-scattering data. PDF analysis provides a useful structural framework for comparing local correlations across glasses, framework materials, complex oxides, relaxor ferroelectrics and other structurally disordered materials.

What ANALISA can do

PDF generation & validation · Local-structure modelling · RMC / big-box modelling · Comparison of structural hypotheses

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How we choose the method

How the analysis is selected

The scientific question determines the analysis, not the other way round.

01

Question

What structural information do you actually need?

02

Data

What was measured, and at what resolution and quality?

03

Method

PXRD, total scattering, PDF, diffuse scattering or advanced modelling, chosen to fit the scientific question and the available data.

04

Model

Structural modelling and interpretation — the appropriate model depends on dataset quality, resolution, Q-range and the scientific question.

05

Interpretation

What structural conclusions are supported by the data, what depends on modelling assumptions, and what remains uncertain?

Evidence vs. assumption

What the data can support

We distinguish between what the data directly constrain, what requires structural modelling assumptions, and what remains uncertain. The aim is not simply to obtain a good fit, but to identify which structural interpretations are supported by the available evidence.

From data to deliverable

Typical outputs

Phase identification and, where appropriate, quantitative phase analysis
Refined structural parameters and fit statistics
Fits and residuals
G(r) and real-space model fits
Local bond-length and coordination information where supported by the data
Comparison of structural hypotheses and models
RMC / big-box structural configurations where applicable
Publication-quality figures
A concise technical report summarising methods, results and limitations

Sound familiar?

What can ANALISA help you find?

Why does my material not fit a conventional crystal structure?
Is local structural disorder hidden beneath an apparently simple diffraction pattern?
Are multiple structural models consistent with the data?
Can an existing diffraction or scattering dataset be reanalysed to extract additional structural information?
Can PDF or big-box modelling distinguish competing local-structure hypotheses?

Data rescue

Your experiment may already be finished.

The data may still contain structural information that was never extracted.

ANALISA Materials can assess previously collected diffraction and scattering datasets and determine whether additional analysis — including Rietveld refinement, PDF analysis, structural modelling or comparison of structural hypotheses — can answer new scientific questions.

Have a dataset? Tell us what you want to learn.

Request an Analysis →