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Ewald summation

Ewald summation, named after Paul Peter Ewald, is a method for computing long-range interactions (e.g. electrostatic interactions) in periodic systems. It was first developed as the method for calculating the electrostatic energies of ionic crystals, and is now commonly used for calculating long-range interactions in computational chemistry. Ewald…

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Overview

Derivation

Particle mesh Ewald (PME) method

Dipole term

History

Scaling

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Ewald summation

Nodes48
Edges47
Triples29
Avg. degree1.96
Density0.041667
Components1

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Ewald summation

Top relations

related to Particle mesh Ewald (PME) method · 11
Ewald summation → Applications, Ewald, Fourier, However, In, Lennard-Jones, Phi, PME, Recently, The, TOT
related to Derivation · 8
Ewald summation → Due, Ewald, Fourier, Gaussian, Hence, One, The, TOT
related to history · 4
Ewald summation → Madelung, Paul Peter Ewald, References, The Ewald
related to Scaling · 4
Ewald summation → Direct, Ewald, Generally, The PME
is a · 1
Ewald summation → special case of the Poisson summation formula

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Important terminology

method summation displaystyle ewald long-range mathbf interaction energy periodic unit cell fourier systems interactions charge real space sum potential density

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Ewald summationis aspecial case of the Poisson summation formula0.90text
gravity or electrostaticsinstance ofespecially those whose particles interact via an inverse square force law0.80text
Ewald summationrelated to DerivationEwald0.60section
Ewald summationrelated to DerivationFourier0.60section
Ewald summationrelated to DerivationThe0.60section
Ewald summationrelated to DerivationGaussian0.60section
Ewald summationrelated to DerivationDue0.60section
Ewald summationrelated to DerivationOne0.60section
Ewald summationrelated to DerivationHence0.60section
Ewald summationrelated to DerivationTOT0.60section
Ewald summationrelated to historyThe Ewald0.60section
Ewald summationrelated to historyPaul Peter Ewald0.60section

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