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Related Concept Videos

Molecular Shapes01:18

Molecular Shapes

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Molecules have characteristic shapes that are crucial for their function. The arrangement of various electron groups around the central atom dictates their molecular geometry. Electron pairs in the valence shell of a central atom will adopt an arrangement that minimizes repulsions between the electron pairs by maximizing the distance between them. The valence electrons form either bonding pairs, located primarily between bonded atoms, or lone pairs.
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Noncovalent attractions are associations within and between molecules that influence the shape and structural stability of complexes. These interactions differ from covalent bonding in that they do not involve sharing of electrons.
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Particles in a solid are tightly packed together (fixed shape) and often arranged in a regular pattern; in a liquid, they are close together with no regular arrangement (no fixed shape); in a gas, they are far apart with no regular arrangement (no fixed shape). Particles in a solid vibrate about fixed positions (cannot flow) and do not generally move in relation to one another; in a liquid, they move past each other (can flow) but remain in essentially constant contact; in a gas, they move...
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Physical models representing molecular architectures of chemical compounds play essential roles in understanding chemistry. The use of molecular models makes it easier to visualize the structures and shapes of atoms and molecules.
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Computation of Atmospheric Concentrations of Molecular Clusters from ab initio Thermochemistry
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OTMol: Robust Molecular Structure Comparison via Optimal Transport.

Xiaoqi Wei, Xuhang Dai, Yaqi Wu

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    |September 15, 2025
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    Summary
    This summary is machine-generated.

    We developed OTMol, a novel method using optimal transport for molecular alignment. OTMol accurately matches atoms, preserving chemical features like chirality and improving structural comparisons in cheminformatics.

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    Area of Science:

    • Computational chemistry
    • Structural bioinformatics
    • Cheminformatics

    Background:

    • Root-mean-square deviation (RMSD) is crucial for assessing molecular similarity.
    • Traditional RMSD methods struggle with atom ordering, chirality, and cluster comparisons.
    • Existing alignment algorithms often fail to generalize across diverse chemical structures.

    Purpose of the Study:

    • To introduce OTMol, a new method for accurate molecular alignment.
    • To address limitations of traditional RMSD calculation methods.
    • To provide a generalizable framework for structural comparison tasks.

    Main Methods:

    • Formulated molecular alignment as a fused supervised Gromov-Wasserstein (fsGW) optimal transport problem.
    • Leveraged intrinsic geometric and topological molecular information.
    • Ensured one-to-one atom mapping to preserve molecular integrity.

    Main Results:

    • OTMol achieves low RMSD values across diverse systems (ligands, peptides, lipids, clusters).
    • The method preserves chirality and bond connectivity.
    • OTMol demonstrates computational efficiency and avoids erroneous many-to-one alignments.

    Conclusions:

    • Optimal transport theory offers a powerful approach for molecular alignment.
    • OTMol provides a principled, data-driven, and generalizable solution for structural comparison.
    • This framework advances applications in cheminformatics and molecular modeling.