{"title":"电荷相互作用和与离子强度的等价性","authors":"Leslie Glasser","doi":"10.1016/j.ctta.2022.100059","DOIUrl":null,"url":null,"abstract":"<div><p>The electrostatic interaction among a neutral and finite set of point charges is based on the sum of their <em>pairwise</em> charge products, <span><math><mrow><msub><mi>z</mi><mi>i</mi></msub><msub><mi>z</mi><mi>j</mi></msub></mrow></math></span>, yet many analyses yield terms which simply contain a sum of the squares of the <em>separate</em> charges, corresponding to the ionic strength, ½<span><math><mrow><mo>∑</mo><mrow><msub><mi>m</mi><mi>i</mi></msub><msubsup><mi>z</mi><mi>i</mi><mn>2</mn></msubsup></mrow></mrow></math></span>.</p><p>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.</p></div>","PeriodicalId":9781,"journal":{"name":"Chemical Thermodynamics and Thermal Analysis","volume":"6 ","pages":"Article 100059"},"PeriodicalIF":0.0000,"publicationDate":"2022-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S2667312622000256/pdfft?md5=2e07020fb2a88a9e443022e74fff3149&pid=1-s2.0-S2667312622000256-main.pdf","citationCount":"4","resultStr":"{\"title\":\"The Equivalence of the Charge Interaction Sum and the Ionic Strength\",\"authors\":\"Leslie Glasser\",\"doi\":\"10.1016/j.ctta.2022.100059\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>The electrostatic interaction among a neutral and finite set of point charges is based on the sum of their <em>pairwise</em> charge products, <span><math><mrow><msub><mi>z</mi><mi>i</mi></msub><msub><mi>z</mi><mi>j</mi></msub></mrow></math></span>, yet many analyses yield terms which simply contain a sum of the squares of the <em>separate</em> charges, corresponding to the ionic strength, ½<span><math><mrow><mo>∑</mo><mrow><msub><mi>m</mi><mi>i</mi></msub><msubsup><mi>z</mi><mi>i</mi><mn>2</mn></msubsup></mrow></mrow></math></span>.</p><p>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.</p></div>\",\"PeriodicalId\":9781,\"journal\":{\"name\":\"Chemical Thermodynamics and Thermal Analysis\",\"volume\":\"6 \",\"pages\":\"Article 100059\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2022-06-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://www.sciencedirect.com/science/article/pii/S2667312622000256/pdfft?md5=2e07020fb2a88a9e443022e74fff3149&pid=1-s2.0-S2667312622000256-main.pdf\",\"citationCount\":\"4\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Chemical Thermodynamics and Thermal Analysis\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S2667312622000256\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"2022/4/10 0:00:00\",\"PubModel\":\"Epub\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Chemical Thermodynamics and Thermal Analysis","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S2667312622000256","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"2022/4/10 0:00:00","PubModel":"Epub","JCR":"","JCRName":"","Score":null,"Total":0}
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, , yet many analyses yield terms which simply contain a sum of the squares of the separate charges, corresponding to the ionic strength, ½.
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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