Polyion-counterion interactions in mixtures of sodium carboxymethylcellulose (aq) with different molar masses | Research Square window.SnipcartSettings = { analytics: { enabled: false } }; (function() { var accessVector = localStorage.getItem('access_vector') || ''; window.dataLayer = window.dataLayer || []; if (accessVector) { window.dataLayer.push({ user: { profile: { profileInfo: { snid: accessVector } } } }); } })(); (function(w,d,s,l,i){w[l]=w[l]||[];w[l].push({'gtm.start':new Date().getTime(),event:'gtm.js'});var f=d.getElementsByTagName(s)[0],j=d.createElement(s),dl=l!='dataLayer'?'&l='+l:'';j.async=true;j.src='https://www.googletagmanager.com/gtm.js?id='+i+dl;f.parentNode.insertBefore(j,f);})(window,document,'script','dataLayer','GTM-K279D39R'); Browse Preprints In Review Journals COVID-19 Preprints AJE Video Bytes Research Tools Research Promotion AJE Professional Editing AJE Rubriq About Preprint Platform In Review Editorial Policies Our Team Advisory Board Help Center Sign In Submit a Preprint Cite Share Download PDF Research Article Polyion-counterion interactions in mixtures of sodium carboxymethylcellulose (aq) with different molar masses Sudipa Santra, Bidyut Debnath, Bijan Das This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-7048711/v1 This work is licensed under a CC BY 4.0 License Status: Under Review Version 1 posted 10 You are reading this latest preprint version Abstract This study explored polyion-counterion interactions in aqueous mixtures of a polyelectrolyte sodium carboxymethylcellulose having two different molar masses. Previous DLS studies indicated an invariance of the polyion-counterion interactions with the total concentration or with the composition in mixed sodium polystyrensulfonate solutions, while conductivity revealed a definite dependence of these interactions. The objective of this research is to shed more light on these interactions for a different system with quite low charge density. Counterion-dissociation governing the polyion-counterion interactions were quantified using conductivity as the probe to unravel the nature of these interactions. Degrees of counterion-dissociation and hence the effective charges on the carboxymethylcellulose chains were found to increase with the total polyelectrolyte concentration. This study revealed a reduction in the degree of counterion-dissociation in mixtures richer in the higher molar mass sample, which became more pronounced in dilute solutions. Roles of the effective dielectric constant, screening of chain charges, and polyion chain-coiling in governing counterion-dissociation were critically assessed. Substantial proportion of the counterions was found to move with the polyions, corroborating the inferences drawn on the basis of counterion-condensation. This study demonstrated a definite dependence of polyion-counterion interactions on both the total polyelectrolyte concentration and the composition of the mixtures. Sodium carboxymethylcellulose binaries scaling picture of polyelectrolyte solution polyion-counterion interaction contrast between conductivity and DLS results counterion condensation Full Text Additional Declarations No competing interests reported. Cite Share Download PDF Status: Under Review Version 1 posted Editorial decision: Revision requested 08 Feb, 2026 Reviews received at journal 08 Feb, 2026 Reviewers agreed at journal 28 Nov, 2025 Reviews received at journal 17 Nov, 2025 Reviewers agreed at journal 17 Nov, 2025 Reviewers agreed at journal 20 Oct, 2025 Reviewers invited by journal 14 Oct, 2025 Editor assigned by journal 05 Jul, 2025 Submission checks completed at journal 05 Jul, 2025 First submitted to journal 04 Jul, 2025 You are reading this latest preprint version Research Square lets you share your work early, gain feedback from the community, and start making changes to your manuscript prior to peer review in a journal. As a division of Research Square Company, we’re committed to making research communication faster, fairer, and more useful. We do this by developing innovative software and high quality services for the global research community. Our growing team is made up of researchers and industry professionals working together to solve the most critical problems facing scientific publishing. Also discoverable on Platform About Our Team In Review Editorial Policies Advisory Board Help Center Resources Author Services Accessibility API Access RSS feed Manage Cookie Preferences © Research Square 2026 | ISSN 2693-5015 (online) Privacy Policy Terms of Service Do Not Sell My Personal Information {"props":{"pageProps":{"initialData":{"identity":"rs-7048711","acceptedTermsAndConditions":true,"allowDirectSubmit":false,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":534287609,"identity":"d2f1bb45-a4a7-4b30-8a75-bf9315167baa","order_by":0,"name":"Sudipa Santra","email":"","orcid":"","institution":"Presidency University","correspondingAuthor":false,"prefix":"","firstName":"Sudipa","middleName":"","lastName":"Santra","suffix":""},{"id":534287610,"identity":"67ac353f-d697-4d3b-bfa5-554842239340","order_by":1,"name":"Bidyut Debnath","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA20lEQVRIiWNgGAWjYBACA2YGAyDFxsDA3gDiWhCrJYFNgoHnAIgrQYQWMEpgkGCQSADxidBizs68TZr3B1+d/MznVzf8KJBg4G/vTsCrxbKZrUyaB+gwg9s5ZTd7gA6TOHN2A36HHeYxg2iRzkm7wQPUYiCRS6QW+Zln0m7+IUkLww32Y7eJsgXol2LLOWlskhvO5LDdljGQ4CHoF3P+wxtvvLE5xi/ffvzZzTd/bOT423vxawECFmBcHAPSPKBkwMBDSDkIMH9gYKgB0uwPiFE9CkbBKBgFIxAAAJZrP7Cx1hW+AAAAAElFTkSuQmCC","orcid":"","institution":"Basirhat College","correspondingAuthor":true,"prefix":"","firstName":"Bidyut","middleName":"","lastName":"Debnath","suffix":""},{"id":534287611,"identity":"d104b2fb-023b-44f3-9a76-0ff756863746","order_by":2,"name":"Bijan Das","email":"","orcid":"","institution":"Presidency University","correspondingAuthor":false,"prefix":"","firstName":"Bijan","middleName":"","lastName":"Das","suffix":""}],"badges":[],"createdAt":"2025-07-04 17:08:15","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-7048711/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-7048711/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":94603036,"identity":"6fd64aba-cb41-4890-bf62-ad95ad07aaf7","added_by":"auto","created_at":"2025-10-28 20:06:19","extension":"docx","order_by":0,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":375120,"visible":true,"origin":"","legend":"","description":"","filename":"Manuscript.docx","url":"https://assets-eu.researchsquare.com/files/rs-7048711/v1/6c667cac3c51520d75a9f9b0.docx"},{"id":94603032,"identity":"21f55d07-b83c-4cab-bc77-8f6b1def2dd1","added_by":"auto","created_at":"2025-10-28 20:06:18","extension":"json","order_by":1,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":5257,"visible":true,"origin":"","legend":"","description":"","filename":"57aad4bb826b49149bdedbf3d61d91f8.json","url":"https://assets-eu.researchsquare.com/files/rs-7048711/v1/87067880fbdf33c6ba516fd2.json"},{"id":94612537,"identity":"6435ed74-98de-4df2-bc94-b3412c084bc4","added_by":"auto","created_at":"2025-10-29 02:10:45","extension":"xml","order_by":2,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":109326,"visible":true,"origin":"","legend":"","description":"","filename":"57aad4bb826b49149bdedbf3d61d91f81enriched.xml","url":"https://assets-eu.researchsquare.com/files/rs-7048711/v1/b72e2cea41f8491281dd81bb.xml"},{"id":94612677,"identity":"671206f9-6291-416d-bb4c-52b2f7c1bb15","added_by":"auto","created_at":"2025-10-29 02:11:22","extension":"emf","order_by":3,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":236612,"visible":true,"origin":"","legend":"","description":"","filename":"floatimage1.emf","url":"https://assets-eu.researchsquare.com/files/rs-7048711/v1/9de10ee17e741f56895f79b5.emf"},{"id":94612674,"identity":"241e3e3e-cdc4-4530-891f-53e6c6b41db8","added_by":"auto","created_at":"2025-10-29 02:11:21","extension":"emf","order_by":4,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":230268,"visible":true,"origin":"","legend":"","description":"","filename":"floatimage2.emf","url":"https://assets-eu.researchsquare.com/files/rs-7048711/v1/bfdaff7b59f176eb47b81bb5.emf"},{"id":94612585,"identity":"5fd64754-47dc-43a7-9d8e-f5ec2adfa9b5","added_by":"auto","created_at":"2025-10-29 02:11:08","extension":"emf","order_by":5,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":103684,"visible":true,"origin":"","legend":"","description":"","filename":"floatimage3.emf","url":"https://assets-eu.researchsquare.com/files/rs-7048711/v1/3fc6af3595d5b993e29d7fe2.emf"},{"id":94612391,"identity":"55b72a99-c831-4f5a-af54-960622f840d6","added_by":"auto","created_at":"2025-10-29 02:10:12","extension":"emf","order_by":6,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":232156,"visible":true,"origin":"","legend":"","description":"","filename":"floatimage4.emf","url":"https://assets-eu.researchsquare.com/files/rs-7048711/v1/84de114febb8ab9a2a2206de.emf"},{"id":94612432,"identity":"cf1ae0ea-592b-4fdf-8cff-6b9499799b73","added_by":"auto","created_at":"2025-10-29 02:10:26","extension":"emf","order_by":7,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":149488,"visible":true,"origin":"","legend":"","description":"","filename":"floatimage5.emf","url":"https://assets-eu.researchsquare.com/files/rs-7048711/v1/3309665f0343d7ef26675b4b.emf"},{"id":94612406,"identity":"6233f1cd-c1f7-4114-91f2-9ce2bbc215d3","added_by":"auto","created_at":"2025-10-29 02:10:19","extension":"wmf","order_by":8,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":716,"visible":true,"origin":"","legend":"","description":"","filename":"image1.wmf","url":"https://assets-eu.researchsquare.com/files/rs-7048711/v1/8d512632bb303718dbb38262.wmf"},{"id":94603060,"identity":"dafab694-8c8c-4d4b-a4b4-0ed1075feb0e","added_by":"auto","created_at":"2025-10-28 20:06:19","extension":"wmf","order_by":9,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":998,"visible":true,"origin":"","legend":"","description":"","filename":"image10.wmf","url":"https://assets-eu.researchsquare.com/files/rs-7048711/v1/084ec86363d470ca6825e477.wmf"},{"id":94603033,"identity":"356b4c34-6d20-4132-a330-04df4ec4b72f","added_by":"auto","created_at":"2025-10-28 20:06:19","extension":"wmf","order_by":10,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":992,"visible":true,"origin":"","legend":"","description":"","filename":"image11.wmf","url":"https://assets-eu.researchsquare.com/files/rs-7048711/v1/b36e816bf83ddfb88b171426.wmf"},{"id":94612518,"identity":"107bc121-7bc0-4255-be5f-e7b1073138cf","added_by":"auto","created_at":"2025-10-29 02:10:43","extension":"wmf","order_by":11,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":998,"visible":true,"origin":"","legend":"","description":"","filename":"image12.wmf","url":"https://assets-eu.researchsquare.com/files/rs-7048711/v1/e1380c8d08d8984889a806c0.wmf"},{"id":94603034,"identity":"e5e905c9-1c41-4588-b2d0-6b42197c5209","added_by":"auto","created_at":"2025-10-28 20:06:19","extension":"wmf","order_by":12,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":992,"visible":true,"origin":"","legend":"","description":"","filename":"image13.wmf","url":"https://assets-eu.researchsquare.com/files/rs-7048711/v1/4c304080a1ac7aefcc2060dd.wmf"},{"id":94612314,"identity":"626d256e-011e-4fb5-8253-ab22b58829d8","added_by":"auto","created_at":"2025-10-29 02:09:31","extension":"wmf","order_by":13,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":336,"visible":true,"origin":"","legend":"","description":"","filename":"image14.wmf","url":"https://assets-eu.researchsquare.com/files/rs-7048711/v1/36e2f5dc0fccffcc8eff319f.wmf"},{"id":94612351,"identity":"530fe0f3-1f4d-4a90-9cf0-091161720924","added_by":"auto","created_at":"2025-10-29 02:10:04","extension":"wmf","order_by":14,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":708,"visible":true,"origin":"","legend":"","description":"","filename":"image15.wmf","url":"https://assets-eu.researchsquare.com/files/rs-7048711/v1/dd2ab99eb9b40d18acbe4e3d.wmf"},{"id":94603050,"identity":"df122cb4-ce67-4714-9986-9481dd5e2513","added_by":"auto","created_at":"2025-10-28 20:06:19","extension":"wmf","order_by":15,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":714,"visible":true,"origin":"","legend":"","description":"","filename":"image16.wmf","url":"https://assets-eu.researchsquare.com/files/rs-7048711/v1/23befb62e4151d3e91d43a33.wmf"},{"id":94603055,"identity":"a9711fc3-b365-46e0-91fd-641f8af5e1bd","added_by":"auto","created_at":"2025-10-28 20:06:19","extension":"wmf","order_by":16,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":598,"visible":true,"origin":"","legend":"","description":"","filename":"image17.wmf","url":"https://assets-eu.researchsquare.com/files/rs-7048711/v1/c1a4a95d8631be39e55c8b89.wmf"},{"id":94612419,"identity":"d8ab45d9-1f8e-415e-a829-d93876f41c25","added_by":"auto","created_at":"2025-10-29 02:10:22","extension":"wmf","order_by":17,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":710,"visible":true,"origin":"","legend":"","description":"","filename":"image2.wmf","url":"https://assets-eu.researchsquare.com/files/rs-7048711/v1/efa7d5720d66a4d9089c0f35.wmf"},{"id":94603042,"identity":"c7cb0a08-8268-4ba7-95a4-bf74e96b04ee","added_by":"auto","created_at":"2025-10-28 20:06:19","extension":"wmf","order_by":18,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":2036,"visible":true,"origin":"","legend":"","description":"","filename":"image3.wmf","url":"https://assets-eu.researchsquare.com/files/rs-7048711/v1/5ceee4b95211d3cabe4e1957.wmf"},{"id":94612256,"identity":"3ebba90b-bc3b-4a47-929e-28ff4661d107","added_by":"auto","created_at":"2025-10-29 02:08:08","extension":"wmf","order_by":19,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":598,"visible":true,"origin":"","legend":"","description":"","filename":"image4.wmf","url":"https://assets-eu.researchsquare.com/files/rs-7048711/v1/237aa08cfa1d223e3303653a.wmf"},{"id":94603063,"identity":"6be9a83c-ed5c-4ce3-aa12-8e6bfd6051c5","added_by":"auto","created_at":"2025-10-28 20:06:19","extension":"wmf","order_by":20,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":822,"visible":true,"origin":"","legend":"","description":"","filename":"image5.wmf","url":"https://assets-eu.researchsquare.com/files/rs-7048711/v1/85136779d1f4435c0955afc4.wmf"},{"id":94603046,"identity":"d17a7b33-20e5-4be3-bf9f-a003209a2517","added_by":"auto","created_at":"2025-10-28 20:06:19","extension":"wmf","order_by":21,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":716,"visible":true,"origin":"","legend":"","description":"","filename":"image6.wmf","url":"https://assets-eu.researchsquare.com/files/rs-7048711/v1/bcbf24ac2185e0a296a7b9bb.wmf"},{"id":94603059,"identity":"a61dc24e-fb9a-42a0-8c9a-2b3a5ee593e5","added_by":"auto","created_at":"2025-10-28 20:06:19","extension":"wmf","order_by":22,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":828,"visible":true,"origin":"","legend":"","description":"","filename":"image7.wmf","url":"https://assets-eu.researchsquare.com/files/rs-7048711/v1/4483b6825b78fde47205639f.wmf"},{"id":94612690,"identity":"21226db4-67cb-42ea-9259-7018fe77c83f","added_by":"auto","created_at":"2025-10-29 02:11:24","extension":"wmf","order_by":23,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":716,"visible":true,"origin":"","legend":"","description":"","filename":"image8.wmf","url":"https://assets-eu.researchsquare.com/files/rs-7048711/v1/209c1f79949f69d2069837a9.wmf"},{"id":94612414,"identity":"41d1c28f-b486-4e76-b4d8-e5909119d8af","added_by":"auto","created_at":"2025-10-29 02:10:21","extension":"wmf","order_by":24,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":716,"visible":true,"origin":"","legend":"","description":"","filename":"image9.wmf","url":"https://assets-eu.researchsquare.com/files/rs-7048711/v1/06d132a096566f7b9790c9da.wmf"},{"id":94603057,"identity":"90a3f2ea-1328-4a0e-b6c0-707b6966d429","added_by":"auto","created_at":"2025-10-28 20:06:19","extension":"png","order_by":25,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":16621,"visible":true,"origin":"","legend":"","description":"","filename":"Onlinefloatimage1.png","url":"https://assets-eu.researchsquare.com/files/rs-7048711/v1/02c4852ecd075c201019e1c0.png"},{"id":94603056,"identity":"d24d2ef5-8abc-4187-b0bc-edd8eb466889","added_by":"auto","created_at":"2025-10-28 20:06:19","extension":"png","order_by":26,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":20864,"visible":true,"origin":"","legend":"","description":"","filename":"Onlinefloatimage2.png","url":"https://assets-eu.researchsquare.com/files/rs-7048711/v1/7df89f3c621262b3c54fdf3d.png"},{"id":94603067,"identity":"b86686c8-4b0a-4c72-9f02-7dca53d24d56","added_by":"auto","created_at":"2025-10-28 20:06:19","extension":"png","order_by":27,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":12862,"visible":true,"origin":"","legend":"","description":"","filename":"Onlinefloatimage3.png","url":"https://assets-eu.researchsquare.com/files/rs-7048711/v1/b680d861a9370e296612dd41.png"},{"id":94603061,"identity":"e6b96a9d-d476-4b5f-9b5e-df2666c1bce8","added_by":"auto","created_at":"2025-10-28 20:06:19","extension":"png","order_by":28,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":18713,"visible":true,"origin":"","legend":"","description":"","filename":"Onlinefloatimage4.png","url":"https://assets-eu.researchsquare.com/files/rs-7048711/v1/8541465ead69332cbeede8d4.png"},{"id":94612388,"identity":"39eb3c25-f3eb-45b0-9784-7c5e56b4621f","added_by":"auto","created_at":"2025-10-29 02:10:12","extension":"png","order_by":29,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":17023,"visible":true,"origin":"","legend":"","description":"","filename":"Onlinefloatimage5.png","url":"https://assets-eu.researchsquare.com/files/rs-7048711/v1/4fe7e5743cdd5f34310145e9.png"},{"id":94603048,"identity":"ffd8e8a9-6059-4762-998f-9e0ff0c2e1a6","added_by":"auto","created_at":"2025-10-28 20:06:19","extension":"png","order_by":30,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":311,"visible":true,"origin":"","legend":"","description":"","filename":"Onlineimage1.png","url":"https://assets-eu.researchsquare.com/files/rs-7048711/v1/69180628c5e1801e375b7f6c.png"},{"id":94612267,"identity":"5dd34db8-7124-4e15-951c-f74ebceb9bbe","added_by":"auto","created_at":"2025-10-29 02:08:12","extension":"png","order_by":31,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":1101,"visible":true,"origin":"","legend":"","description":"","filename":"Onlineimage10.png","url":"https://assets-eu.researchsquare.com/files/rs-7048711/v1/ec1920b8e722b0624d363781.png"},{"id":94612348,"identity":"a23fd987-4320-4af0-8b1e-85f1aa55101a","added_by":"auto","created_at":"2025-10-29 02:10:03","extension":"png","order_by":32,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":1367,"visible":true,"origin":"","legend":"","description":"","filename":"Onlineimage11.png","url":"https://assets-eu.researchsquare.com/files/rs-7048711/v1/be395a76ea6aaf78814274b0.png"},{"id":94603058,"identity":"2a3a5307-8eb4-4965-90bd-ce26752e8752","added_by":"auto","created_at":"2025-10-28 20:06:19","extension":"png","order_by":33,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":1111,"visible":true,"origin":"","legend":"","description":"","filename":"Onlineimage12.png","url":"https://assets-eu.researchsquare.com/files/rs-7048711/v1/61fccd3abcc95c88632ddcb8.png"},{"id":94612322,"identity":"d6b76083-0ebe-42b7-9d5c-d8135f056673","added_by":"auto","created_at":"2025-10-29 02:09:50","extension":"png","order_by":34,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":1351,"visible":true,"origin":"","legend":"","description":"","filename":"Onlineimage13.png","url":"https://assets-eu.researchsquare.com/files/rs-7048711/v1/4564be52b69bb616ffdd765c.png"},{"id":94603052,"identity":"8e276cd2-e86f-4ba3-9539-a98a9c9294db","added_by":"auto","created_at":"2025-10-28 20:06:19","extension":"png","order_by":35,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":278,"visible":true,"origin":"","legend":"","description":"","filename":"Onlineimage14.png","url":"https://assets-eu.researchsquare.com/files/rs-7048711/v1/ab0272da2b71e8dbbfee26cb.png"},{"id":94612369,"identity":"b5bb051b-a306-4744-9e57-00183d5ee2b4","added_by":"auto","created_at":"2025-10-29 02:10:08","extension":"png","order_by":36,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":837,"visible":true,"origin":"","legend":"","description":"","filename":"Onlineimage15.png","url":"https://assets-eu.researchsquare.com/files/rs-7048711/v1/f1d3e92c5175fa72ac2b5550.png"},{"id":94612378,"identity":"0fc77817-b920-45a7-9eb5-91818d548eec","added_by":"auto","created_at":"2025-10-29 02:10:11","extension":"png","order_by":37,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":320,"visible":true,"origin":"","legend":"","description":"","filename":"Onlineimage16.png","url":"https://assets-eu.researchsquare.com/files/rs-7048711/v1/4e76d03c76bac3c3496a7653.png"},{"id":94603072,"identity":"c3a4f306-e528-4867-abc2-640daa1d2e21","added_by":"auto","created_at":"2025-10-28 20:06:20","extension":"png","order_by":38,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":261,"visible":true,"origin":"","legend":"","description":"","filename":"Onlineimage17.png","url":"https://assets-eu.researchsquare.com/files/rs-7048711/v1/67830428f3efe8bd70ff10c9.png"},{"id":94603066,"identity":"a3d239a8-acbf-4512-8e84-ffbed0ea86c4","added_by":"auto","created_at":"2025-10-28 20:06:19","extension":"png","order_by":39,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":362,"visible":true,"origin":"","legend":"","description":"","filename":"Onlineimage2.png","url":"https://assets-eu.researchsquare.com/files/rs-7048711/v1/7a2e88eafb9fadae5d0374a2.png"},{"id":94603075,"identity":"d74374c2-f848-4fc1-a36d-811f19130415","added_by":"auto","created_at":"2025-10-28 20:06:20","extension":"png","order_by":40,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":1730,"visible":true,"origin":"","legend":"","description":"","filename":"Onlineimage3.png","url":"https://assets-eu.researchsquare.com/files/rs-7048711/v1/d81e304445c5c0639ed76449.png"},{"id":94612568,"identity":"78623ef8-b923-4f5d-9ca5-f28f4a8a766c","added_by":"auto","created_at":"2025-10-29 02:11:03","extension":"png","order_by":41,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":290,"visible":true,"origin":"","legend":"","description":"","filename":"Onlineimage4.png","url":"https://assets-eu.researchsquare.com/files/rs-7048711/v1/c07e47a354a2f20382d379f3.png"},{"id":94603071,"identity":"19532df9-7be0-4159-beeb-893268cac872","added_by":"auto","created_at":"2025-10-28 20:06:19","extension":"png","order_by":42,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":365,"visible":true,"origin":"","legend":"","description":"","filename":"Onlineimage5.png","url":"https://assets-eu.researchsquare.com/files/rs-7048711/v1/6344f5576aeed31c98be46c1.png"},{"id":94612384,"identity":"658e9178-410a-4ffd-b879-726fd8ebdfae","added_by":"auto","created_at":"2025-10-29 02:10:11","extension":"png","order_by":43,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":269,"visible":true,"origin":"","legend":"","description":"","filename":"Onlineimage6.png","url":"https://assets-eu.researchsquare.com/files/rs-7048711/v1/729e19d1ae74cef23349cebc.png"},{"id":94603081,"identity":"a311ba05-b4fb-4245-9e4a-d855b9492857","added_by":"auto","created_at":"2025-10-28 20:06:20","extension":"png","order_by":44,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":445,"visible":true,"origin":"","legend":"","description":"","filename":"Onlineimage7.png","url":"https://assets-eu.researchsquare.com/files/rs-7048711/v1/99ebb135c3d1bc0f44f7fab7.png"},{"id":94603077,"identity":"d49eba7f-ea08-4463-808b-fc64bb5d659d","added_by":"auto","created_at":"2025-10-28 20:06:20","extension":"png","order_by":45,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":314,"visible":true,"origin":"","legend":"","description":"","filename":"Onlineimage8.png","url":"https://assets-eu.researchsquare.com/files/rs-7048711/v1/fe7e871ea048d018640ec7ea.png"},{"id":94612435,"identity":"ed08c1b6-6640-4f92-a1c7-2ef5a48d3280","added_by":"auto","created_at":"2025-10-29 02:10:26","extension":"png","order_by":46,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":311,"visible":true,"origin":"","legend":"","description":"","filename":"Onlineimage1.png","url":"https://assets-eu.researchsquare.com/files/rs-7048711/v1/b135a3cbb4af2bd8151c8560.png"},{"id":94603069,"identity":"8d24b08b-44a3-417d-9ecb-9b86723819c7","added_by":"auto","created_at":"2025-10-28 20:06:19","extension":"xml","order_by":47,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":106426,"visible":true,"origin":"","legend":"","description":"","filename":"57aad4bb826b49149bdedbf3d61d91f81structuring.xml","url":"https://assets-eu.researchsquare.com/files/rs-7048711/v1/da3248fc5c00e865debca2ca.xml"},{"id":94612272,"identity":"7d2d26c5-c1fc-4ead-a7ee-440e9d51aa5c","added_by":"auto","created_at":"2025-10-29 02:08:14","extension":"html","order_by":48,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":118350,"visible":true,"origin":"","legend":"","description":"","filename":"earlyproof.html","url":"https://assets-eu.researchsquare.com/files/rs-7048711/v1/61032ab9c41b7e978a85db72.html"},{"id":94613545,"identity":"6321bea8-dc09-4ccb-92e2-d08bff5544d5","added_by":"auto","created_at":"2025-10-29 02:13:56","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":668804,"visible":true,"origin":"","legend":"","description":"","filename":"Manuscript.pdf","url":"https://assets-eu.researchsquare.com/files/rs-7048711/v1_covered_d0eaae77-7509-4af8-bb20-0d74c07bae03.pdf"}],"financialInterests":"No competing interests reported.","formattedTitle":"Polyion-counterion interactions in mixtures of sodium carboxymethylcellulose (aq) with different molar masses","fulltext":[],"fulltextSource":"","fullText":"","funders":[],"hasAdminPriorityOnWorkflow":false,"hasManuscriptDocX":false,"hasOptedInToPreprint":true,"hasPassedJournalQc":"","hasAnyPriority":false,"hideJournal":false,"highlight":"","institution":"","isAcceptedByJournal":false,"isAuthorSuppliedPdf":true,"isDeskRejected":"","isHiddenFromSearch":false,"isInQc":false,"isInWorkflow":false,"isPdf":true,"isPdfUpToDate":true,"isWithdrawnOrRetracted":false,"journal":{"display":true,"email":"
[email protected]","identity":"journal-of-solution-chemistry","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":false,"externalIdentity":"josl","sideBox":"Learn more about [Journal of Solution Chemistry](http://link.springer.com/journal/10953)","snPcode":"10953","submissionUrl":"https://submission.nature.com/new-submission/10953/3","title":"Journal of Solution Chemistry","twitterHandle":"","acdcEnabled":true,"dfaEnabled":true,"editorialSystem":"em","reportingPortfolio":"Springer Hybrid","inReviewEnabled":true,"inReviewRevisionsEnabled":false},"keywords":"Sodium carboxymethylcellulose binaries, scaling picture of polyelectrolyte solution, polyion-counterion interaction, contrast between conductivity and DLS results, counterion condensation","lastPublishedDoi":"10.21203/rs.3.rs-7048711/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-7048711/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"\u003cp\u003eThis study explored polyion-counterion interactions in aqueous mixtures of a polyelectrolyte sodium carboxymethylcellulose having two different molar masses. Previous DLS studies indicated an invariance of the polyion-counterion interactions with the total concentration or with the composition in mixed sodium polystyrensulfonate solutions, while conductivity revealed a definite dependence of these interactions. The objective of this research is to shed more light on these interactions for a different system with quite low charge density. Counterion-dissociation governing the polyion-counterion interactions were quantified using conductivity as the probe to unravel the nature of these interactions. Degrees of counterion-dissociation and hence the effective charges on the carboxymethylcellulose chains were found to increase with the total polyelectrolyte concentration. This study revealed a reduction in the degree of counterion-dissociation in mixtures richer in the higher molar mass sample, which became more pronounced in dilute solutions. Roles of the effective dielectric constant, screening of chain charges, and polyion chain-coiling in governing counterion-dissociation were critically assessed. Substantial proportion of the counterions was found to move with the polyions, corroborating the inferences drawn on the basis of counterion-condensation. This study demonstrated a definite dependence of polyion-counterion interactions on both the total polyelectrolyte concentration and the composition of the mixtures.\u003c/p\u003e","manuscriptTitle":"Polyion-counterion interactions in mixtures of sodium carboxymethylcellulose (aq) with different molar masses","msid":"","msnumber":"","nonDraftVersions":[{"code":1,"date":"2025-10-28 20:06:14","doi":"10.21203/rs.3.rs-7048711/v1","editorialEvents":[{"type":"communityComments","content":0},{"type":"decision","content":"Revision requested","date":"2026-02-08T13:48:57+00:00","index":"","fulltext":""},{"type":"editorInvitedReview","content":"","date":"2026-02-08T13:29:27+00:00","index":"hide","fulltext":""},{"type":"reviewerAgreed","content":"191042332201042218418926174132324881114","date":"2025-11-28T10:32:26+00:00","index":"hide","fulltext":""},{"type":"editorInvitedReview","content":"","date":"2025-11-17T16:17:50+00:00","index":"hide","fulltext":""},{"type":"reviewerAgreed","content":"299106885790237968762360309513327871574","date":"2025-11-17T14:50:26+00:00","index":"hide","fulltext":""},{"type":"reviewerAgreed","content":"242902172398506078310777409374708269585","date":"2025-10-20T07:17:50+00:00","index":"hide","fulltext":""},{"type":"reviewersInvited","content":"","date":"2025-10-14T05:25:38+00:00","index":"","fulltext":""},{"type":"editorAssigned","content":"","date":"2025-07-05T11:03:02+00:00","index":"","fulltext":""},{"type":"checksComplete","content":"","date":"2025-07-05T11:01:14+00:00","index":"","fulltext":""},{"type":"submitted","content":"Journal of Solution Chemistry","date":"2025-07-04T17:04:46+00:00","index":"","fulltext":""}],"status":"published","journal":{"display":true,"email":"
[email protected]","identity":"journal-of-solution-chemistry","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":false,"externalIdentity":"josl","sideBox":"Learn more about [Journal of Solution Chemistry](http://link.springer.com/journal/10953)","snPcode":"10953","submissionUrl":"https://submission.nature.com/new-submission/10953/3","title":"Journal of Solution Chemistry","twitterHandle":"","acdcEnabled":true,"dfaEnabled":true,"editorialSystem":"em","reportingPortfolio":"Springer Hybrid","inReviewEnabled":true,"inReviewRevisionsEnabled":false}}],"origin":"","ownerIdentity":"33fdd5b1-21ca-49b5-b5b3-a2bb86d73ce3","owner":[],"postedDate":"October 28th, 2025","published":true,"recentEditorialEvents":[],"rejectedJournal":[],"revision":"","amendment":"","status":"under-review","subjectAreas":[],"tags":[],"updatedAt":"2026-05-27T08:38:13+00:00","versionOfRecord":[],"versionCreatedAt":"2025-10-28 20:06:14","video":"","vorDoi":"","vorDoiUrl":"","workflowStages":[]},"version":"v1","identity":"rs-7048711","journalConfig":"researchsquare"},"__N_SSP":true},"page":"/article/[identity]/[[...version]]","query":{"redirect":"/article/rs-7048711","identity":"rs-7048711","version":["v1"]},"buildId":"8U1c8b4HqxoKbykW_rLl7","isFallback":false,"isExperimentalCompile":false,"dynamicIds":[84888],"gssp":true,"scriptLoader":[]}
Text is read by the "Ask this paper" AI Q&A widget below.
Extraction quality varies by source — PMC NXML preserves structure
cleanly, OA-HTML may include some navigation residue, and OA-PDF can
have broken hyphenation. The publisher copy
(via DOI)
is the canonical version.