Advances in Physicochemical Properties of Biopolymers (Part 1)

Intrinsic Viscosity of Strong Linear Polyelectrolytes in Solutions of Low Ionic Strength and Its Interpretation

Author(s): Georges M. Pavlov and Alexander S. Gubarev

Pp: 433-460 (28)

DOI: 10.2174/9781681084534117010017

* (Excluding Mailing and Handling)

Abstract

Evaluation of reliable experimental quantities characterizing the isolated strong polyelectrolyte chain in solution at low ionic strengths is a challenge for researchers working in polymer science and biophysics. A simple method for estimating the intrinsic viscosity as initial slopes of the lnηr and ηsp vs. c dependencies is discussed. Using several examples, we have demonstrated the adequacy of this estimated intrinsic viscosity. The results determined in salt free water solutions for homologous series of sodium poly(styrene-4-sulfonate) in 30-fold range of molar mass, as well as for the polyions with the persistence length of the corresponding bare chains differing 30 times are discussed. The “apparent intrinsic viscosities” of poly(styrene-4- sulfonate) samples at non-zero polymer concentration in salt-free solutions are compared with the directly measured intrinsic viscosities at different ionic strengths.


Keywords: Dilute solutions of charged polymers, Extremely low ionic strength, Intrinsic viscosity, Molecular hydrodynamic methods, Polyelectrolytes.

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      • 16. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
      • 17. vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
    • (select j.user_access_id,j.volume_id,j.user_id,j.from_ip,j.to_ip,j.type,j.track,"Trial Access" as access_base_text, CASE j.type WHEN 111 THEN true ELSE false END as terms_popup, "S" as content_download_type, null as restricted_user_access_key, null as restricted_user_access_type, CASE j.track WHEN 0 THEN false ELSE true END as tracksAccessByVolume,"chapter" as access_level, j.chapter_id from `user_access_chapter_trail` as `j` inner join `user_access_info` as `info` on `j`.`user_access_id` = `info`.`user_access_id` where ((j.from_ip <= 59228343 and j.to_ip >=59228343 )) and ((j.from_date <= 1739847396 and j.to_date >= 1739847396 and j.perpetual= 0) or (j.from_date is null and j.to_date is null and j.perpetual= 1)) and j.chapter_id = 10598) union (select j.user_access_id,j.volume_id,j.user_id,j.from_ip,j.to_ip,j.type,j.track,"Subscribed" as access_base_text, false as terms_popup, "S" as content_download_type, null as restricted_user_access_key, null as restricted_user_access_type, CASE j.track WHEN 0 THEN false ELSE true END as tracksAccessByVolume,"chapter" as access_level, j.chapter_id from `user_access_chapter_corporate` as `j` inner join `user_access_info` as `info` on `j`.`user_access_id` = `info`.`user_access_id` where ((j.from_ip <= 59228343 and j.to_ip >=59228343 )) and ((j.from_date <= 1739847396 and j.to_date >= 1739847396 and j.perpetual= 0) or (j.from_date is null and j.to_date is null and j.perpetual= 1)) and j.chapter_id = 10598) union (select j.user_access_id,j.volume_id,j.user_id,j.from_ip,j.to_ip,j.type,j.track,"Token Based Access" as access_base_text, false as terms_popup, "R" as content_download_type, j.uc_id as restricted_user_access_key, "v" as restricted_user_access_type, CASE j.track WHEN 0 THEN false ELSE true END as tracksAccessByVolume,"chapter" as access_level, j.chapter_id from `user_access_chapter_token` as `j` inner join `user_access_info` as `info` on `j`.`user_access_id` = `info`.`user_access_id` where ((j.from_ip <= 59228343 and j.to_ip >=59228343 )) and ((j.from_date <= 1739847396 and j.to_date >= 1739847396 and j.perpetual= 0) or (j.from_date is null and j.to_date is null and j.perpetual= 1)) and j.chapter_id = 10598)
      580μsalphaeurekaselec_live_10_06_2022UserAccess.php#1266
      Backtrace
      • 13. app/Models/UserAccess/UserAccess.php:1266
      • 14. app/Http/Controllers/ChapterController.php:1549
      • 15. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
      • 16. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
      • 17. vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
    • select b.banner_link, b.banner_name, b.banner_script, b.banner_remarks, b.banner_file_name, b.banner_placement, bd.content_type, bd.content_id from `tbl_banner` as `b` inner join `tbl_banner_detail` as `bd` on `bd`.`banner_id` = `b`.`banner_id` inner join `users` as `u` on `u`.`id` = `b`.`updated_by` where `b`.`banner_ebook` = 1 and `bd`.`content_type` = 'B' and `bd`.`content_id` = 2239 and `b`.`banner_from_date` <= 1739847396 and `b`.`banner_to_date` >= 1739847396 and `b`.`banner_status` = 'A' order by `b`.`banner_id` desc
      1.08msalphaeurekaselec_live_10_06_2022Banner.php#95
      Bindings
      • 0: 1
      • 1: B
      • 2: 2239
      • 3: 1739847396
      • 4: 1739847396
      • 5: A
      Backtrace
      • 13. app/Models/Banner.php:95
      • 14. app/Http/helpers.php:404
      • 17. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:124
      • 18. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
      • 19. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:73
    • select count(*) as aggregate from `uc_cart_products` where cart_id='4d80b6a126d97fe9864c6aaa945cb5c0'
      210μsalphaeurekaselec_live_10_06_2022Cart.php#271
      Backtrace
      • 15. app/Models/Cart.php:271
      • 16. view::layouts._header:260
      • 18. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:124
      • 19. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
      • 20. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:73
    App\Models\Keywords
    5Keywords.php#?
    App\Models\Chapter
    1Chapter.php#?
    App\Models\Ebook
    1Ebook.php#?
        _token
        BnMsHFVRe0e4QMQdDGtGhLwPo2dLT6QHLmJ1LqY6
        uc_cart_id
        4d80b6a126d97fe9864c6aaa945cb5c0
        _previous
        array:1 [ "url" => "https://alpha.eurekaselect.com/chapter/10598" ]
        _flash
        array:2 [ "old" => [] "new" => [] ]
        PHPDEBUGBAR_STACK_DATA
        []
        path_info
        /chapter/10598
        status_code
        200
        
        status_text
        OK
        format
        html
        content_type
        text/html; charset=UTF-8
        request_query
        []
        
        request_request
        []
        
        request_headers
        0 of 0
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        request_cookies
        0 of 0
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        response_headers
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        session_attributes
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        ClearShow all
        Date ↕MethodURLData
        #12025-02-18 02:56:37GET/chapter/10598112197