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Related Concept Videos

Ladder Diagrams: Complexation Equilibria01:07

Ladder Diagrams: Complexation Equilibria

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Ladder diagrams are useful for evaluating equilibria involving metal-ligand complexes. The vertical scale of the ladder diagram represents the concentration of unreacted or free ligand, pL. The horizontal lines on the scale depict the log of stepwise formation constants for metal-ligand complexes and indicate the dominant species in all the regions.
The formation constant, K1, for the formation of Cd(NH3)2+ complex from cadmium and ammonia is 3.55 × 102. Log K1 (i.e. pNH3) is 2.55, and...
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A type of Lewis acid-base chemistry involves the formation of a complex ion (or a coordination complex) comprising a central atom, typically a transition metal cation, surrounded by ions or molecules called ligands. These ligands can be neutral molecules like H2O or NH3, or ions such as CN− or OH−. Often, the ligands act as Lewis bases, donating a pair of electrons to the central atom. These types of Lewis acid-base reactions are examples of a broad subdiscipline called coordination...
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Related Experiment Video

Updated: Apr 30, 2026

Thermochemical Studies of NiII and ZnII Ternary Complexes Using Ion Mobility-Mass Spectrometry
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Deciphering the Solvation Structure of Aqueous ZnCl2 Solutions from X-ray Absorption Spectra Using the Interpretable

Chuntian Cao1, Boyang Li1, Armando Rodriguez Campos2,3,4

  • 1Artificial Intelligence Department, Brookhaven National Laboratory, Upton, New York 11973, United States.

The Journal of Physical Chemistry. B
|April 28, 2026
PubMed
Summary
This summary is machine-generated.

This study introduces a physics-guided graph neural network (GNN) for predicting X-ray absorption spectra (XAS) from atomic structures. The interpretable ML model accurately predicts spectra across various concentrations and reveals physical insights into structure-spectrum relationships.

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Area of Science:

  • Computational Chemistry
  • Materials Science
  • Spectroscopy

Background:

  • Machine learning (ML) offers powerful predictive capabilities for spectroscopic observables from atomic structures.
  • Interpreting ML model predictions in terms of physical and chemical principles is crucial for broader scientific impact.
  • Predicting X-ray absorption spectra (XAS) for complex systems like concentrated solutions remains challenging for conventional methods.

Purpose of the Study:

  • To develop and validate a physics-guided graph neural network (GNN) model for predicting Zn K-edge X-ray spectroscopy (XAS) spectra.
  • To demonstrate the model's ability to interpret ML predictions in terms of physical and chemical principles.
  • To establish a general paradigm for interpretable ML in linking atomic structure, electronic structure, and spectroscopic observables.

Main Methods:

  • A physics-guided graph neural network (GNN) model was developed.
  • Training data were generated using ab initio XAS calculations on molecular dynamics snapshots from a ML interatomic potential.
  • Gradient-based attribution analysis was employed to interpret the GNN model's predictions.

Main Results:

  • The GNN model accurately reproduced experimental XAS spectra for aqueous ZnCl2 solutions across a wide range of concentrations (0.1 m to 30 m).
  • The model efficiently scaled to large, disordered liquid systems beyond the scope of traditional ab initio methods.
  • Attribution analysis revealed physically meaningful structure-spectrum relationships, including ligand-specific attributions reflecting orbital hybridization and bond-length attributions consistent with multiple-scattering theory.

Conclusions:

  • The developed GNN provides accurate and interpretable predictions of XAS spectra for complex liquid systems.
  • This work bridges data-driven prediction with electronic-structure theory, offering a new paradigm for interpretable ML in chemistry and materials science.
  • The interpretable ML approach successfully links atomic structure, electronic structure, and spectroscopic observables, advancing the understanding of chemical systems.