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Updated: May 7, 2026

Computation of Atmospheric Concentrations of Molecular Clusters from ab initio Thermochemistry
Published on: April 8, 2020
Energy benchmarks for water clusters and ice structures from an embedded many-body expansion
M J Gillan1, D Alfè, P J Bygrave
1London Centre for Nanotechnology, UCL, London WC1H 0AH, United Kingdom.
The embedded many-body expansion (EMBE) accurately calculates water cluster and ice energies. This method efficiently determines correlation energy, providing reliable results for various water structures.
Area of Science:
- Computational Chemistry
- Quantum Chemistry
- Materials Science
Background:
- Accurate calculation of ab initio energies for water clusters and ice is crucial for understanding their properties.
- Traditional methods can be computationally expensive for large systems.
Purpose of the Study:
- To demonstrate the effectiveness of the embedded many-body expansion (EMBE) for calculating accurate ab initio energies of water clusters and ice.
- To assess the accuracy of EMBE when applied to wavefunction-based methods.
Main Methods:
- Utilized the embedded many-body expansion (EMBE) approach, separating energy into Hartree-Fock and correlation components.
- Applied EMBE specifically to the correlation energy, using standard quantum chemistry for clusters and plane-wave methods for crystals.
- Tested EMBE with second-order Møller-Plesset (MP2) and coupled-cluster methods.
Main Results:
- EMBE truncated at the 2-body level accurately reproduced correlation energies for water clusters (up to 16-mer) using MP2, with errors less than 0.1 mE(h)/monomer.
- MP2 energies for ice structures (Ih, II, VIII) near the complete basis-set limit showed good agreement with experimental binding energies.
- Coupled-cluster methods were found essential for describing non-additive dispersion in ice structures.
Conclusions:
- EMBE is a reliable and efficient method for calculating accurate ab initio energies of water clusters and ice.
- The method shows promise for future applications in condensed matter physics and chemistry.
- Combining EMBE with advanced wavefunction methods provides a powerful tool for studying complex molecular systems.
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