Calculation of lattice sums of general type

DOI10.1007/S10910-020-01182-7zbMath1469.82034OpenAlexW3091035964MaRDI QIDQ830918

N. E. Zubov

Publication date: 10 May 2021

Published in: Journal of Mathematical Chemistry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10910-020-01182-7

zbMATH Keywords

convergencenumerical methodsperiodic structureslattice sumsEwald methodMadelung constant

Mathematics Subject Classification ID

Statistical mechanics of crystals (82D25) Convergence and divergence of series and sequences of functions (40A30) Computation of special functions and constants, construction of tables (65D20) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Functional analytic methods in summability (40H05) Approximation to limiting values (summation of series, etc.) (40A25) Multiple sequences and series (40B05) Absolute and strong summability (40F05) Numerical approximation and evaluation of special functions (33F05) Function-theoretic methods (including power series methods and semicontinuous methods) for summability (40C15)

Cites Work

• Computation of the Madelung constant for hypercubic crystal structures in any dimension
• Electrostatic energy in ionic crystals
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