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Related Concept Videos

Lattice Energies of Ionic Crystals01:27

Lattice Energies of Ionic Crystals

Lattice energy represents the energy released when gaseous cations and anions combine to form an ionic solid, reflecting the strength of electrostatic interactions within the crystal. This process is fundamentally governed by Coulombic attraction between oppositely charged ions, where the potential energy varies inversely with the interionic distance and directly with the product of ionic charges. As ions approach one another, the electrostatic energy becomes increasingly negative, indicating a...
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Trends in Lattice Energy: Ion Size and Charge

An ionic compound is stable because of the electrostatic attraction between its positive and negative ions. The lattice energy of a compound is a measure of the strength of this attraction. The lattice energy (ΔHlattice) of an ionic compound is defined as the energy required to separate one mole of the solid into its component gaseous ions. For the ionic solid sodium chloride, the lattice energy is the enthalpy change of the process:
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Lattice Centering and Coordination Number02:33

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The structure of a crystalline solid, whether a metal or not, is best described by considering its simplest repeating unit, which is referred to as its unit cell. The unit cell consists of lattice points that represent the locations of atoms or ions. The entire structure then consists of this unit cell repeating in three dimensions. The three different types of unit cells present in the cubic lattice are illustrated in Figure 1.
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In mechanical engineering, a three-dimensional force system is a system of forces acting in three dimensions, with forces applied along the x, y, and z coordinate axes. The three-dimensional force system is an important concept in mechanical engineering, as it allows engineers to understand and analyze the behavior of objects and structures in three dimensions. By understanding the forces acting on a system, engineers can design more efficient and effective mechanical systems that can withstand...
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The ideal gas law is an approximation that works well at high temperatures and low pressures. The van der Waals equation of state (named after the Dutch physicist Johannes van der Waals, 1837−1923) improves it by considering two factors.
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Realistic Membrane Modeling Using Complex Lipid Mixtures in Simulation Studies
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Machine-Learned Force Fields for Lattice Dynamics at Coupled-Cluster Level Accuracy.

Sita Schönbauer1, Johanna P Carbone1,2, Fredrik Eriksson1

  • 1Institute of Theoretical Physics, Technical University of Vienna, Wiedner Hauptstraße 8-10, 1040 Vienna, Austria.

Journal of Chemical Theory and Computation
|July 1, 2026
PubMed
Summary
This summary is machine-generated.

Machine-learned force fields (MLFFs) trained on coupled cluster (CC) theory accurately predict vibrational properties of solids. These MLFFs improve upon density functional theory (DFT) predictions, offering better agreement with experimental data.

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Area of Science:

  • Computational materials science
  • Quantum chemistry
  • Solid-state physics

Background:

  • Accurate prediction of material properties requires sophisticated computational methods.
  • Density functional theory (DFT) and coupled cluster (CC) theory are common approaches for electronic structure calculations.
  • Machine-learned force fields (MLFFs) offer a computationally efficient alternative for large-scale simulations.

Purpose of the Study:

  • To develop and assess machine-learned force fields (MLFFs) for carbon diamond and lithium hydride solids.
  • To compare the accuracy of MLFFs trained on DFT and CC potential energy surfaces.
  • To investigate methods for improving MLFFs, particularly for CC data limitations.

Main Methods:

  • Training MLFFs on potential energy surfaces from DFT and CC calculations.
  • Calculating phonon dispersions and vibrational densities of states (VDOS) using MLFFs.
  • Employing delta-learning and charge-aware MLFF approaches to address CC data limitations.

Main Results:

  • MLFFs trained on CC theory show improved accuracy in predicting vibrational frequencies compared to DFT.
  • Calculated phonon dispersions and VDOS from CC-trained MLFFs exhibit better agreement with experimental and ab initio results.
  • Anharmonic effects on VDOS for lithium hydride were estimated using CC-level MLFFs.

Conclusions:

  • MLFFs trained on higher-level theory (CC) provide more accurate vibrational properties for solids.
  • Delta-learning and charge-aware approaches enhance MLFF performance with CC data.
  • MLFFs are a viable tool for studying complex vibrational phenomena, including anharmonicity.