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Related Concept Videos

Molecular Models02:00

Molecular Models

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.
Newman Projections02:06

Newman Projections

Different notations are used to represent the three-dimensional structure of molecules on two-dimensional surfaces. One of the most commonly used representations is the dash-wedge formula. The dashed wedges, solid wedges, and the plane lines indicate the groups situated behind the plane, coming out of the plane, and in the plane, respectively.
The organic molecules rotate across the single bonds leading to numerous temporary three-dimensional structures of varying energy known as conformers.

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Related Experiment Video

Updated: May 19, 2026

X-Ray Crystallography to Study the Oligomeric State Transition of the Thermotoga maritima M42 Aminopeptidase TmPep1050
11:27

X-Ray Crystallography to Study the Oligomeric State Transition of the Thermotoga maritima M42 Aminopeptidase TmPep1050

Published on: May 13, 2020

Multimer embedding for molecular crystals utilizing up to tetramer interactions.

Alexander List1, A Daniel Boese1, Johannes Hoja1

  • 1Department of Chemistry, University of Graz, Heinrichstraße 28/IV, 8010 Graz, Austria.

The Journal of Chemical Physics
|May 18, 2026
PubMed
Summary
This summary is machine-generated.

This study enhances multimer embedding methods for molecular crystals, improving lattice energy calculations up to the tetramer level and crucial properties like stress tensor and phonons up to the trimer level.

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Last Updated: May 19, 2026

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Area of Science:

  • Computational chemistry
  • Solid-state physics
  • Materials science

Background:

  • Molecular crystals exhibit complex crystallographic structures, often leading to multiple observed crystal forms.
  • Accurate computational modeling of these systems typically requires computationally intensive periodic density functional theory (DFT) with hybrid functionals.
  • Multimer embedding methods offer a computationally feasible alternative by combining lower-level periodic calculations with high-level corrections.

Purpose of the Study:

  • To extend multimer embedding methods by increasing the multimer order for lattice energies, atomic forces, stress tensor, and harmonic phonons.
  • To evaluate the impact of higher-order multimer interactions (up to tetramer for lattice energy, trimer for other properties) on computational accuracy.
  • To validate the enhanced method by comparing results to explicit high-level periodic DFT calculations using the X23 benchmark set.

Main Methods:

  • Utilizing an extended multimer embedding approach, incorporating up to tetramer interactions for lattice energies and trimer interactions for forces, stress tensor, and phonons.
  • Performing calculations with PBE0+MBD multimers embedded within periodic PBE+MBD calculations.
  • Comparing the results against explicit periodic PBE0+MBD calculations on the X23 molecular crystal benchmark set.

Main Results:

  • Tetramer interactions significantly improve the accuracy of lattice energy approximations.
  • Trimer interactions are essential for accurately describing the stress tensor, achieving cell volume predictions within 0.3% of high-level calculations.
  • Inclusion of trimer interactions enhances the prediction of vibrational properties, with Gamma-point frequencies and vibrational free energies closely matching high-level results.

Conclusions:

  • The extended multimer embedding approach provides a computationally efficient and accurate method for modeling molecular crystals.
  • Higher-order multimer interactions, particularly up to the trimer level, are crucial for capturing key solid-state properties.
  • This method offers a viable alternative to expensive full periodic calculations for complex molecular crystal systems.