Zhen Song et al.: From symmetry operations to dimensional restrictions: a mathematical formalization of unit-cell constraints for the seven crystal systems in crystallography ##CrystalSystemClassification@UniofOxford...##IUCrhttps://journals.iucr.org/paper?S1600576725010271
From symmetry operations to dimensional restrictions: a mathematical formalization of unit-cell constraints for the seven crystal systems in crystallography
This study establishes a mathematical framework connecting symmetry operations with metrical restrictions through systematic analysis of symmetry operation representation matrices.
journals.iucr.org
December 16, 2025 at 1:00 AM
Zhen Song et al.: From symmetry operations to dimensional restrictions: a mathematical formalization of unit-cell constraints for the seven crystal systems in crystallography ##CrystalSystemClassification@UniofOxford...##IUCrhttps://journals.iucr.org/paper?S1600576725010271
Ayoub Shahnazari et al.: Machine learning approaches for crystallographic classification from synthetic 2D X-ray diffraction data ##MachineLearning##ConvolutionalNeuralNetworks##CrystalSystemClassification@JMU...##IUCrhttps://journals.iucr.org/paper?S1600576726000099
Machine learning approaches for crystallographic classification from synthetic 2D X-ray diffraction data
This study introduces the novel Auto Diffraction Pipeline to generate large-scale synthetic 2D X-ray diffraction datasets from crystallographic information files. By training convolutional neural networks on these diverse datasets, the authors achieve rapid and automated classification across all seven crystal systems and 230 space groups.
journals.iucr.org
January 31, 2026 at 1:00 AM
Ayoub Shahnazari et al.: Machine learning approaches for crystallographic classification from synthetic 2D X-ray diffraction data ##MachineLearning##ConvolutionalNeuralNetworks##CrystalSystemClassification@JMU...##IUCrhttps://journals.iucr.org/paper?S1600576726000099