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X-ray Diffraction in Crystallography
Research Guide
What is X-ray Diffraction in Crystallography?
X-ray diffraction in crystallography is the set of experimental and computational methods that infer a material’s crystal structure by measuring how X-rays diffract from its periodic atomic arrangement and refining a structural model to fit the observed diffraction intensities.
The research cluster on X-ray diffraction in crystallography spans 282,006 works and emphasizes powder diffraction analysis, structure determination, pair distribution function methods, nanoparticles, Rietveld refinement, total scattering, high-resolution X-ray diffraction, and quantitative phase analysis. Widely used crystallographic workflows combine structure solution, refinement, and validation software, as described in “SHELXT– Integrated space-group and crystal-structure determination” (2014) and “Crystal structure refinement withSHELXL” (2014). Visualization and reporting of crystallographic models are commonly supported by tools described in “VESTA 3 for three-dimensional visualization of crystal, volumetric and morphology data” (2011) and “OLEX2: a complete structure solution, refinement and analysis program” (2009).
Topic Hierarchy
Research Sub-Topics
Rietveld Refinement
Rietveld refinement involves least-squares fitting of entire powder diffraction patterns to determine crystal structures and phase abundances. Researchers develop advanced algorithms, error analysis methods, and applications to complex multiphase materials.
Pair Distribution Function Analysis
Pair distribution function (PDF) analysis extracts atomic pair correlations from total scattering data to study nanoscale structures and disordered materials. Researchers apply PDF to nanoparticles, amorphous solids, and local atomic arrangements beyond Bragg diffraction limits.
High-Resolution X-ray Powder Diffraction
High-resolution X-ray powder diffraction utilizes synchrotron sources and advanced detectors for precise peak profiling and structural refinement. Researchers focus on instrumentation, peak shape analysis, and applications to strained lattices and phase transitions.
Quantitative Phase Analysis
Quantitative phase analysis determines phase fractions in multiphase mixtures using Rietveld and reference intensity ratio methods from powder diffraction data. Researchers improve accuracy for microcrystalline, textured, and amorphous-containing samples.
Total Scattering Techniques
Total scattering techniques incorporate both Bragg and diffuse scattering to model average and local structures in crystalline and amorphous materials. Researchers develop modeling software and apply it to nanomaterials, defects, and dynamic structures.
Why It Matters
X-ray diffraction underpins practical decisions that depend on knowing crystal structures accurately, including identifying phases in complex solids, validating small-molecule structures, and producing geometry parameters used across materials chemistry. Shannon (1976) in “Revised effective ionic radii and systematic studies of interatomic distances in halides and chalcogenides” provided revised effective ionic radii based on structural data and empirical bond-strength/bond-length relationships; with 63,148 citations, this paper exemplifies how X-ray-derived structural databases propagate into downstream tasks such as interpreting interatomic distances and comparing coordination environments. In small-molecule crystallography, Sheldrick (2014) linked refinement practice to standardized data exchange and validation in “Crystal structure refinement withSHELXL” (40,665 citations), while “SHELXT– Integrated space-group and crystal-structure determination” (2014) (27,062 citations) describes integrated space-group and structure determination for single-crystal reflection data; together, these capabilities support routine, auditable structure reporting in chemistry and materials research. For communicating and reusing results, Momma and Izumi (2011) in “VESTA 3 for three-dimensional visualization of crystal, volumetric and morphology data” (23,511 citations) describe features for three-dimensional visualization and superposition of structural models, enabling clearer interpretation of refined structures and comparison of competing models.
Reading Guide
Where to Start
Start with Sheldrick’s “Crystal structure refinement withSHELXL” (2014) because it directly describes modern refinement practice and its coupling to CIF-based validation and archiving, which frames how X-ray diffraction results are judged and reused.
Key Papers Explained
A practical single-crystal workflow can be read as solution → refinement → analysis/communication. Sheldrick’s “SHELXT– Integrated space-group and crystal-structure determination” (2014) describes obtaining an initial model and space group from reflection data, while Sheldrick’s “Crystal structure refinement withSHELXL” (2014) describes refining and validating that model in a CIF-centered ecosystem. Dolomanov, Bourhis, Gildea, Howard, and Puschmann’s “OLEX2: a complete structure solution, refinement and analysis program” (2009) describes an integrated environment that supports structure determination, refinement, visualization, and report generation, connecting algorithmic steps to day-to-day use. For communicating results, Momma and Izumi’s “VESTA 3 for three-dimensional visualization of crystal, volumetric and morphology data” (2011) and Farrugia’s “ORTEP-3 for Windows - a version of ORTEP-III with a Graphical User Interface (GUI)” (1997) describe widely used visualization and drawing approaches. For interpreting derived geometry, Shannon’s “Revised effective ionic radii and systematic studies of interatomic distances in halides and chalcogenides” (1976) provides radii used to contextualize interatomic distances and coordination environments reported from X-ray crystal structures.
Paper Timeline
Most-cited paper highlighted in red. Papers ordered chronologically.
Advanced Directions
Within the provided sources, the most concrete advanced direction is deeper integration of automated decision-making with transparent validation: “SHELXT– Integrated space-group and crystal-structure determination” (2014) emphasizes integrated space-group testing and model derivation, and “Crystal structure refinement withSHELXL” (2014) emphasizes validation/archiving via CIF. A second direction is making structural interpretation more systematic by linking refined structures to standardized geometric descriptors, exemplified by “Revised effective ionic radii and systematic studies of interatomic distances in halides and chalcogenides” (1976), and by improving how multiple models are compared and communicated using “VESTA 3 for three-dimensional visualization of crystal, volumetric and morphology data” (2011).
Papers at a Glance
In the News
Powder diffraction crystal structure determination using generative models
labor-intensive process that demands substantial expertise. Here we introduce PXRDGen, an end-to-end neural network that determines crystal structures by learning joint structural distributions fro...
Crystallography: A Discovery that Transformed Materials ...
That link became measurable through the development of X-ray diffraction, driven in large part by the work of William Henry Bragg and his son William Lawrence Bragg. Their methods provided a system...
Research grants for structural biology at MicroMAX
**User opportunities for studies of structural biology at the new X-ray crystallography beamline MicroMAX just got an upgrade. The Novo Nordisk Foundation is now offering funding for researchers af...
Shedding light on how photoactive crystals respond in real ...
This time-resolved instrument for x-ray structures is a custom-built Rigaku Synergy-R rotating anode diffractometer, funded by the Cardiff University Research Infrastructure Fund and developed in c...
Unexpected reactions: UCalgary-linked researcher finalist ...
Analysis of the crystal was undertaken at the UCalgary Chemistry Department’s X-ray Crystallography Lab , aided by the technical expertise of Dr. Wen Zhou. “If this image brings recognition to the...
Code & Tools
A cross-platform, open-source library for the analysis of X-ray diffraction data. HEXRD/hexrd’s past year of commit activity Python 60 24 20 ...
The HEXRD project is developing a cross-platform, open-source library for the general analysis of X-ray diffraction data. This includes powder diff...
GSAS-II is used to analyze all types of x-ray and neutron diffraction data, including single-crystal, powder, constant-wavelength, pink-beam and ti...
zenodo badge pydidas (an acronym for the**Py**thon**di**ffraction**d**ata**a**nalysis**s**uite) is a toolkit for the analysis of X-ray diffraction...
Python library for handling XrdPatterns including support for importing from data files, exporting as json file, visualization and postprocessing.
Recent Preprints
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What Is X-Ray Crystallography and How Does It Work?
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X-Ray Diffraction (XRD) – XRD Principle, XRD Analysis and Applications
X-ray diffraction (XRD) is a powerful non-destructive analytical technique used to evaluate crystalline materials and determine their structural properties. As one of the most widely used character...
Latest Developments
Recent developments in X-ray diffraction in crystallography research include advancements in powder diffraction structure determination using generative models (published August 2025), machine learning approaches for crystallographic classification from synthetic 2D data (accepted January 2026), and the application of physics-aware machine learning for real-time nanodiffraction analysis (published December 2025) (Nature Communications, Nature Materials, Nature).
Sources
Frequently Asked Questions
What is the difference between structure solution and structure refinement in X-ray crystallography?
Structure solution proposes an initial atomic model and space group from diffraction data, as described in “SHELXT– Integrated space-group and crystal-structure determination” (2014). Structure refinement then optimizes that model against observed intensities and applies validation and reporting conventions, as described in Sheldrick’s “Crystal structure refinement withSHELXL” (2014).
How do researchers determine the space group from single-crystal X-ray diffraction data?
“SHELXT– Integrated space-group and crystal-structure determination” (2014) describes a workflow that tests all space groups in a specified Laue group after expanding reflection data to space group P1. The same work describes handling missing data and extending resolution if necessary as part of integrated determination.
Which software is commonly used to solve, refine, and analyze small-molecule crystal structures from X-ray diffraction?
“OLEX2: a complete structure solution, refinement and analysis program” (2009) describes an integrated, workflow-oriented graphical environment for determination, visualization, analysis, and report generation for molecular crystal structures. For refinement specifically, “Crystal structure refinement withSHELXL” (2014) describes developments in SHELXL and its coupling to CIF-based validation and archiving.
How are crystallographic models commonly visualized and compared after X-ray refinement?
Momma and Izumi (2011) in “VESTA 3 for three-dimensional visualization of crystal, volumetric and morphology data” describe three-dimensional visualization capabilities including superimposing multiple structural models and morphology drawing. Such visualization supports checking geometry, comparing alternative refinements, and communicating structural conclusions.
Which reference is widely used for interpreting interatomic distances and coordination environments derived from X-ray crystal structures?
Shannon (1976) in “Revised effective ionic radii and systematic studies of interatomic distances in halides and chalcogenides” revised effective ionic radii using new structural data and empirical bond-strength/bond-length relationships. The radii are used to interpret coordination-dependent distances and to compare structures across halides and chalcogenides.
Which tools help produce publication-quality crystallographic drawings and manage small-molecule crystallography workflows?
Farrugia (1997) in “ORTEP-3 for Windows - a version of ORTEP-III with a Graphical User Interface (GUI)” describes a GUI-based implementation for crystallographic illustration. Farrugia (1999) in “WinGXsuite for small-molecule single-crystal crystallography” describes a software suite that supports small-molecule single-crystal crystallography workflows.
Open Research Questions
- ? How can integrated space-group and structure determination approaches like those described in “SHELXT– Integrated space-group and crystal-structure determination” (2014) be generalized to reduce ambiguity when diffraction data are incomplete or have systematic missing regions?
- ? Which validation and archiving practices implied by the CIF-coupled refinement workflow in “Crystal structure refinement withSHELXL” (2014) most effectively prevent irreproducible refinements while still supporting complex disorder and atypical oxidation states?
- ? How can visualization-driven comparison of competing structural models (as enabled by “VESTA 3 for three-dimensional visualization of crystal, volumetric and morphology data” (2011)) be made quantitatively traceable so that model selection is auditable rather than purely qualitative?
- ? What limits the transferability of effective ionic radii tables derived from crystallographic data, as in “Revised effective ionic radii and systematic studies of interatomic distances in halides and chalcogenides” (1976), when applied to unusual coordinations and oxidation states?
- ? How should integrated GUI-centric crystallography environments such as “OLEX2: a complete structure solution, refinement and analysis program” (2009) expose algorithmic choices to make refinement decisions reproducible across laboratories?
Recent Trends
Across the 282,006-work cluster, emphasis is placed on powder diffraction analysis topics such as Rietveld refinement, total scattering, pair distribution function methods, high-resolution X-ray diffraction, and quantitative phase analysis.
In single-crystal workflows, the provided highly cited literature shows consolidation around integrated solution and refinement pipelines—“SHELXT– Integrated space-group and crystal-structure determination” and “Crystal structure refinement withSHELXL” (2014)—and around GUI-based environments for end-to-end practice, including “OLEX2: a complete structure solution, refinement and analysis program” (2009) and “WinGXsuite for small-molecule single-crystal crystallography” (1999).
2014The sustained high citation counts of these works (e.g., 40,665 for “Crystal structure refinement withSHELXL” and 29,915 for “OLEX2: a complete structure solution, refinement and analysis program” (2009)) indicate continued reliance on standardized, software-mediated refinement, visualization, and reporting workflows in crystallographic X-ray diffraction research.
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