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Related Concept Videos

Determination of Crystal Structures01:29

Determination of Crystal Structures

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In the late 1800s, the revelation that light extended beyond visible wavelengths led to the discovery of X-rays by Wilhelm Roentgen. Recognized as high-energy electromagnetic radiation with short wavelengths, X-rays prompted exploration into their interaction with crystals. Max von Laue proposed in 1912 that the periodic arrangement of atoms, ions, or molecules in crystals would cause them to diffract X-rays, a hypothesis confirmed through experiments with copper sulfate and zinc sulfide...
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Ionic crystals consist of two or more different kinds of ions that usually have different sizes. The packing of these ions into a crystal structure is more complex than the packing of metal atoms that are the same size.
Most monatomic ions behave as charged spheres, and their attraction for ions of opposite charge is the same in every direction. Consequently, stable structures for ionic compounds result (1) when ions of one charge are surrounded by as many ions as possible of the opposite...
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Imperfections in Crystal Structure: Point, Line and Plane Defects01:25

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A perfect crystal, in theory, has a uniform structure with the same unit cell and lattice points throughout. However, any deviation from this periodic arrangement is known as an imperfection or defect. These defects can be categorized into three types: point, line, and plane defects.Point defects occur when there is a deviation from the ideal due to missing atoms, displaced atoms, or additional atoms. These imperfections might occur due to imperfect packing during crystallization or because of...
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Crystal Field Theory - Octahedral Complexes02:58

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Crystal Field Theory
To explain the observed behavior of transition metal complexes (such as colors), a model involving electrostatic interactions between the electrons from the ligands and the electrons in the unhybridized d orbitals of the central metal atom has been developed. This electrostatic model is crystal field theory (CFT). It helps to understand, interpret, and predict the colors, magnetic behavior, and some structures of coordination compounds of transition metals.
CFT focuses on...
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X-ray Crystallography02:18

X-ray Crystallography

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The size of the unit cell and the arrangement of atoms in a crystal may be determined from measurements of the diffraction of X-rays by the crystal, termed X-ray crystallography.
Diffraction
Diffraction is the change in the direction of travel experienced by an electromagnetic wave when it encounters a physical barrier whose dimensions are comparable to those of the wavelength of the light. X-rays are electromagnetic radiation with wavelengths about as long as the distance between neighboring...
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Derivatization of Protein Crystals with I3C using Random Microseed Matrix Screening
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PNcsp+: A Periodic Number-Based Crystal Structure Prediction Method Enhanced by Machine Learning.

Cem Oran1, Riccarda Caputo2, Pierre Villars3

  • 1Informatics Institute, Istanbul Technical University, Istanbul 34469, Türkiye.

Journal of Chemical Theory and Computation
|March 19, 2026
PubMed
Summary
This summary is machine-generated.

PNcsp+ enhances crystal structure prediction using the Periodic Number (PN) for elemental similarity. This interpretable framework achieves state-of-the-art results without costly relaxations, accelerating materials discovery.

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Area of Science:

  • Materials Science
  • Computational Chemistry
  • Crystallography

Background:

  • Crystal structure prediction (CSP) is crucial for materials discovery but faces challenges in efficiency and interpretability due to vast configurational spaces and expensive optimizations.
  • Existing template-based and machine learning (ML) methods often require large datasets, complex similarity metrics, or opaque pipelines.

Purpose of the Study:

  • To introduce PNcsp+, an enhanced and chemically interpretable CSP framework.
  • To leverage the Mendeleev Periodic Number (PN) as a transparent descriptor for elemental similarity.
  • To improve the efficiency and accuracy of crystal structure prediction.

Main Methods:

  • Developed PNcsp+ with an expanded prototype library and improved data management.
  • Integrated ML-assisted prototype scoring using neural network models (MACE, M3GNet, ALIGNN-FF).
  • Utilized the Periodic Number (PN) for chemically interpretable elemental similarity assessments.

Main Results:

  • Achieved state-of-the-art performance on the CSPBench dataset, surpassing alternative methods.
  • Reached 86.1% space group accuracy and 85.0% structure matching accuracy in Top-5 predictions without relaxations.
  • Demonstrated autonomous emergence of molecular components in hybrid systems guided by PN-derived similarities.

Conclusions:

  • PNcsp+ offers an efficient, scalable, and interpretable CSP framework by combining periodic trends with targeted ML evaluation.
  • The approach accelerates discovery in both inorganic and hybrid chemical spaces.
  • Highlights the power of fundamental chemical principles in modern computational materials science.