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Cited by 22,514

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A smooth particle mesh Ewald method

Essmann, Ulrich, Perera, Lalith, Berkowitz, Max L., Darden, Tom, Lee, Hsing, Pedersen, Lee G.·1995·The Journal of Chemical Physics

Abstract

The previously developed particle mesh Ewald method is reformulated in terms of efficient B-spline interpolation of the structure factors. This reformulation allows a natural extension of the method to potentials of the form 1/rp with p≥1. Furthermore, efficient calculation of the virial tensor follows. Use of B-splines in place of Lagrange interpolation leads to analytic gradients as well as a significant improvement in the accuracy. We demonstrate that arbitrary accuracy can be achieved, independent of system size N, at a cost that scales as N log(N). For biomolecular systems with many thousands of atoms this method permits the use of Ewald summation at a computational cost comparable to that of a simple truncation method of 10 Å or less.

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Metadata

Authors
Essmann, U., Perera, L., Berkowitz, M. L., Darden, T., Lee, H., & Pedersen, L. G.
Venue
The Journal of Chemical Physics
Published
1995-11-15
Volume
103
Issue
19
Pages
8577-8593
ISSN
  • 0021-9606 (ISSN-L)
  • 1089-7690
OpenAlex
W2035687084
Cited by
22,514
References
1
FWCI
17.51
Type
journal article
Language
en
Open access
closed

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CoChat. (2026). Citation check: A smooth particle mesh Ewald method. https://app.cochat.ai/papers/10.1063/1.470117
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Essmann, U., Perera, L., Berkowitz, M. L., Darden, T., Lee, H., & Pedersen, L. G. (1995). A smooth particle mesh Ewald method. The Journal of Chemical Physics. https://doi.org/10.1063/1.470117

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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).

Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.