The Equivalence of the Charge Interaction Sum and the Ionic Strength

The electrostatic interaction among a neutral and finite set of point charges is based on the sum of their pairwise charge products, 𝑧 𝑖 𝑧 𝑗 , yet many analyses yield terms which simply contain a sum of the squares of the separate charges, corresponding to the ionic strength, 1/2 Σ𝑚 𝑖 𝑧 2 𝑖 . This s...

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Bibliographic Details
Main Author: Glasser, Leslie
Format: Journal Article
Published: 2022
Online Access:http://hdl.handle.net/20.500.11937/88717
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author Glasser, Leslie
author_facet Glasser, Leslie
author_sort Glasser, Leslie
building Curtin Institutional Repository
collection Online Access
description The electrostatic interaction among a neutral and finite set of point charges is based on the sum of their pairwise charge products, 𝑧 𝑖 𝑧 𝑗 , yet many analyses yield terms which simply contain a sum of the squares of the separate charges, corresponding to the ionic strength, 1/2 Σ𝑚 𝑖 𝑧 2 𝑖 . This submission collects together a number of important instances of this result and explains their equivalence. In effect, the ionic strength-like terms provide conveniently calculated coulomb sums for systems with finite collections of charges.
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spelling curtin-20.500.11937-887172023-06-06T05:19:42Z The Equivalence of the Charge Interaction Sum and the Ionic Strength Glasser, Leslie The electrostatic interaction among a neutral and finite set of point charges is based on the sum of their pairwise charge products, 𝑧 𝑖 𝑧 𝑗 , yet many analyses yield terms which simply contain a sum of the squares of the separate charges, corresponding to the ionic strength, 1/2 Σ𝑚 𝑖 𝑧 2 𝑖 . This submission collects together a number of important instances of this result and explains their equivalence. In effect, the ionic strength-like terms provide conveniently calculated coulomb sums for systems with finite collections of charges. 2022 Journal Article http://hdl.handle.net/20.500.11937/88717 http://creativecommons.org/licenses/by-nc-nd/4.0/ fulltext
spellingShingle Glasser, Leslie
The Equivalence of the Charge Interaction Sum and the Ionic Strength
title The Equivalence of the Charge Interaction Sum and the Ionic Strength
title_full The Equivalence of the Charge Interaction Sum and the Ionic Strength
title_fullStr The Equivalence of the Charge Interaction Sum and the Ionic Strength
title_full_unstemmed The Equivalence of the Charge Interaction Sum and the Ionic Strength
title_short The Equivalence of the Charge Interaction Sum and the Ionic Strength
title_sort equivalence of the charge interaction sum and the ionic strength
url http://hdl.handle.net/20.500.11937/88717