Related Experiment Video
Updated: Jun 13, 2025

A Psychophysics Paradigm for the Collection and Analysis of Similarity Judgments
Published on: March 1, 2022
When can we trust structural models derived from pair distribution function measurements?
Phillip M Maffettone1, William J K Fletcher1, Thomas C Nicholas1
1Department of Chemistry, University of Oxford, Inorganic Chemistry Laboratory, South Parks Road, Oxford OX1 3QR, UK. andrew.goodwin@chem.ox.ac.uk.
Model likelihoods help distinguish between similar structural models that produce identical pair distribution functions (PDFs). This approach aids in robust structure determination, even with limited PDF data, and suggests machine learning
Area of Science:
- Materials Science
- Structural Chemistry
- Computational Materials Science
Background:
- The pair distribution function (PDF) is crucial for characterizing complex material structures.
- Homometric structures, which are distinct models yielding identical PDFs, pose a significant challenge in structural analysis.
Purpose of the Study:
- To introduce and demonstrate the utility of model likelihoods for discriminating between homometric structure solutions.
- To showcase the application of model likelihoods in challenging structure determination scenarios.
Main Methods:
- Utilized model likelihoods as a general framework for distinguishing between equivalent PDF models.
- Applied the approach to two case studies: a small peptide and amorphous calcium carbonate.
Main Results:
- Demonstrated that model likelihoods effectively differentiate between homometric structures.
- Showcased the successful application of model likelihoods in information-poor PDF scenarios.
Conclusions:
- Model likelihoods provide a robust method for resolving structural ambiguities arising from equivalent PDFs.
- The findings highlight the potential of machine learning to enhance PDF-based structure determination.
Related Concept Videos
Mechanistic Models: Compartment Models in Individual and Population Analysis
Statistical Analysis: Overview
One of the most commonly used statistical quantifiers is the mean, which is the ratio between the sum of the numerical values of all results and the...
Expected Frequencies in Goodness-of-Fit Tests
Model Approaches for Pharmacokinetic Data: Distributed Parameter Models
The distributed parameter models are specifically designed to account for variations and differences in some drug classes. This model is particularly useful for assessing regional concentrations of anticancer or...
Correlation of Experimental Data
For example, a spherical particle moving through a viscous fluid experiences drag. Dimensional analysis shows that the drag force depends on the particle's diameter, velocity,...
F Distribution

